##############ECHO OF PROBLEM################# ##############temp/nonlinear1postode.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 = 1 (which depends on init condition) ## x_start=0.0 x_end=0.5 $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 ## Real Part $array_given_rad_poles[1][1]=1.0 ## Imag Part $array_given_rad_poles[1][2]=0.0 ## Order $array_given_ord_poles[1][1]=0.0 ## Not Used $array_given_ord_poles[1][2]=0.0 # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #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(1.0/(1.0 - 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 0.5 estimated_steps 500.0 step_error 2.0e-13 est_needed_step_err 2.0e-13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 value3 1.0005002499999998e-78 max_value3 1.0005002499999998e-78 value3 1.0005002499999998e-78 best_h 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] 0.0 y[1] (analytic) 1.0 y[1] (numeric) 1.0 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 1.0 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9999999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.0000000000000233 Order of pole (three term test) 651.0000000000155 Radius of convergence (six term test) for eq 1 0.8567398671708933 Order of pole (six term test) -21.1 TOP MAIN SOLVE Loop x[1] 0.001 y[1] (analytic) 1.001001001001001 y[1] (numeric) 1.001001001001001 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9989999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9990000000000433 Order of pole (three term test) 651.0000000000286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.002 y[1] (analytic) 1.002004008016032 y[1] (numeric) 1.0020040080160322 absolute error 2.220446049250313e-16 relative error 2.2160051571518127e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9979999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9979999999999887 Order of pole (three term test) 650.9999999999924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.003 y[1] (analytic) 1.0030090270812437 y[1] (numeric) 1.003009027081244 absolute error 2.220446049250313e-16 relative error 2.2137847111025622e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9969999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9970000000000286 Order of pole (three term test) 651.0000000000191 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.004 y[1] (analytic) 1.0040160642570282 y[1] (numeric) 1.0040160642570284 absolute error 2.220446049250313e-16 relative error 2.2115642650533117e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9959999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9959999999999636 Order of pole (three term test) 650.9999999999761 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.005 y[1] (analytic) 1.0050251256281406 y[1] (numeric) 1.005025125628141 absolute error 4.440892098500626e-16 relative error 4.4186876380081237e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.995 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9949999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9950000000000012 Order of pole (three term test) 651.000000000001 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.006 y[1] (analytic) 1.0060362173038229 y[1] (numeric) 1.0060362173038233 absolute error 4.440892098500626e-16 relative error 4.4142467459096227e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.994 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9939999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9939999999999695 Order of pole (three term test) 650.99999999998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.007 y[1] (analytic) 1.0070493454179255 y[1] (numeric) 1.007049345417926 absolute error 4.440892098500626e-16 relative error 4.4098058538111217e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.993 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9929999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9929999999999649 Order of pole (three term test) 650.9999999999768 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.008 y[1] (analytic) 1.0080645161290323 y[1] (numeric) 1.0080645161290327 absolute error 4.440892098500626e-16 relative error 4.405364961712621e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.992 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9919999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9920000000000078 Order of pole (three term test) 651.0000000000056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.009000000000000001 y[1] (analytic) 1.0090817356205852 y[1] (numeric) 1.0090817356205857 absolute error 4.440892098500626e-16 relative error 4.400924069614121e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.991 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9909999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.990999999999981 Order of pole (three term test) 650.9999999999876 Radius of convergence (six term test) for eq 1 0.1810193359837562 Order of pole (six term test) -11.875 TOP MAIN SOLVE Loop x[1] 0.010000000000000002 y[1] (analytic) 1.0101010101010102 y[1] (numeric) 1.0101010101010106 absolute error 4.440892098500626e-16 relative error 4.39648317751562e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.99 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9899999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9900000000000039 Order of pole (three term test) 651.0000000000028 Radius of convergence (six term test) for eq 1 0.2620243536482094 Order of pole (six term test) -12.285714285714285 TOP MAIN SOLVE Loop x[1] 0.011000000000000003 y[1] (analytic) 1.0111223458038423 y[1] (numeric) 1.0111223458038427 absolute error 4.440892098500626e-16 relative error 4.392042285417119e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.989 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9889999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9890000000000123 Order of pole (three term test) 651.0000000000085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.012000000000000004 y[1] (analytic) 1.0121457489878543 y[1] (numeric) 1.0121457489878547 absolute error 4.440892098500626e-16 relative error 4.3876013933186185e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.988 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9879999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.988000000000011 Order of pole (three term test) 651.0000000000076 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.013000000000000005 y[1] (analytic) 1.0131712259371835 y[1] (numeric) 1.013171225937184 absolute error 4.440892098500626e-16 relative error 4.3831605012201175e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.987 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9869999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9869999999999942 Order of pole (three term test) 650.9999999999964 Radius of convergence (six term test) for eq 1 0.37253472005580746 Order of pole (six term test) -12.823529411764707 TOP MAIN SOLVE Loop x[1] 0.014000000000000005 y[1] (analytic) 1.0141987829614605 y[1] (numeric) 1.014198782961461 absolute error 4.440892098500626e-16 relative error 4.378719609121617e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.986 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9859999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9860000000000034 Order of pole (three term test) 651.0000000000025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.015000000000000006 y[1] (analytic) 1.015228426395939 y[1] (numeric) 1.0152284263959395 absolute error 4.440892098500626e-16 relative error 4.374278717023117e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.985 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9849999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9849999999999998 Order of pole (three term test) 651.0000000000001 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.016000000000000007 y[1] (analytic) 1.016260162601626 y[1] (numeric) 1.0162601626016263 absolute error 2.220446049250313e-16 relative error 2.184918912462308e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.984 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9839999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.983999999999988 Order of pole (three term test) 650.9999999999924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.017000000000000008 y[1] (analytic) 1.017293997965412 y[1] (numeric) 1.0172939979654123 absolute error 2.220446049250313e-16 relative error 2.1826984664130577e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.983 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9829999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9830000000000046 Order of pole (three term test) 651.0000000000034 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.01800000000000001 y[1] (analytic) 1.0183299389002036 y[1] (numeric) 1.018329938900204 absolute error 4.440892098500626e-16 relative error 4.360956040727615e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.982 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9819999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9820000000000246 Order of pole (three term test) 651.0000000000169 Radius of convergence (six term test) for eq 1 1.792 Order of pole (six term test) -43.0 TOP MAIN SOLVE Loop x[1] 0.01900000000000001 y[1] (analytic) 1.019367991845056 y[1] (numeric) 1.0193679918450564 absolute error 4.440892098500626e-16 relative error 4.3565151486291146e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.981 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9809999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9809999999999818 Order of pole (three term test) 650.9999999999882 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] 0.02000000000000001 y[1] (analytic) 1.0204081632653061 y[1] (numeric) 1.0204081632653066 absolute error 4.440892098500626e-16 relative error 4.3520742565306136e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.98 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.979999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9800000000000016 Order of pole (three term test) 651.0000000000016 Radius of convergence (six term test) for eq 1 0.2956033378250884 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.02100000000000001 y[1] (analytic) 1.0214504596527068 y[1] (numeric) 1.0214504596527074 absolute error 6.661338147750939e-16 relative error 6.52145004664817e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.979 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9789999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9789999999999786 Order of pole (three term test) 650.999999999986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.022000000000000013 y[1] (analytic) 1.0224948875255624 y[1] (numeric) 1.022494887525563 absolute error 6.661338147750939e-16 relative error 6.514788708500418e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.978 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9779999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9780000000000001 Order of pole (three term test) 651.0000000000006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.023000000000000013 y[1] (analytic) 1.0235414534288638 y[1] (numeric) 1.0235414534288645 absolute error 6.661338147750939e-16 relative error 6.508127370352668e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.977 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9769999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9769999999999973 Order of pole (three term test) 650.9999999999985 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.024000000000000014 y[1] (analytic) 1.0245901639344261 y[1] (numeric) 1.0245901639344268 absolute error 6.661338147750939e-16 relative error 6.501466032204917e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.976 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9759999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9760000000000122 Order of pole (three term test) 651.0000000000088 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.025000000000000015 y[1] (analytic) 1.0256410256410258 y[1] (numeric) 1.0256410256410262 absolute error 4.440892098500626e-16 relative error 4.32986979603811e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.975 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9749999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9750000000000173 Order of pole (three term test) 651.000000000012 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.026000000000000016 y[1] (analytic) 1.026694045174538 y[1] (numeric) 1.0266940451745385 absolute error 4.440892098500626e-16 relative error 4.3254289039396095e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.974 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.973999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9739999999999823 Order of pole (three term test) 650.9999999999884 Radius of convergence (six term test) for eq 1 0.3386561678162676 Order of pole (six term test) -10.25 TOP MAIN SOLVE Loop x[1] 0.027000000000000017 y[1] (analytic) 1.027749229188078 y[1] (numeric) 1.0277492291880788 absolute error 6.661338147750939e-16 relative error 6.481482017761663e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.973 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.972999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9729999999999888 Order of pole (three term test) 650.9999999999927 Radius of convergence (six term test) for eq 1 0.056639702895194856 Order of pole (six term test) -11.538461538461538 TOP MAIN SOLVE Loop x[1] 0.028000000000000018 y[1] (analytic) 1.02880658436214 y[1] (numeric) 1.0288065843621406 absolute error 6.661338147750939e-16 relative error 6.474820679613913e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.972 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9719999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9719999999999979 Order of pole (three term test) 650.999999999999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.02900000000000002 y[1] (analytic) 1.0298661174047374 y[1] (numeric) 1.029866117404738 absolute error 6.661338147750939e-16 relative error 6.468159341466162e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.971 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9709999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9710000000000307 Order of pole (three term test) 651.0000000000213 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.03000000000000002 y[1] (analytic) 1.0309278350515465 y[1] (numeric) 1.0309278350515472 absolute error 6.661338147750939e-16 relative error 6.46149800331841e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.97 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9699999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9700000000000328 Order of pole (three term test) 651.0000000000229 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.03100000000000002 y[1] (analytic) 1.0319917440660475 y[1] (numeric) 1.0319917440660482 absolute error 6.661338147750939e-16 relative error 6.45483666517066e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.969 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9689999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9690000000000225 Order of pole (three term test) 651.0000000000157 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.03200000000000002 y[1] (analytic) 1.0330578512396695 y[1] (numeric) 1.0330578512396702 absolute error 6.661338147750939e-16 relative error 6.448175327022909e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.968 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9679999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9679999999999935 Order of pole (three term test) 650.999999999996 Radius of convergence (six term test) for eq 1 0.16053841991767243 Order of pole (six term test) -11.853932584269662 TOP MAIN SOLVE Loop x[1] 0.03300000000000002 y[1] (analytic) 1.0341261633919339 y[1] (numeric) 1.0341261633919345 absolute error 6.661338147750939e-16 relative error 6.441513988875157e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.967 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9669999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9669999999999922 Order of pole (three term test) 650.9999999999951 Radius of convergence (six term test) for eq 1 0.24408642284687165 Order of pole (six term test) -12.712121212121213 TOP MAIN SOLVE Loop x[1] 0.03400000000000002 y[1] (analytic) 1.0351966873706004 y[1] (numeric) 1.035196687370601 absolute error 6.661338147750939e-16 relative error 6.434852650727408e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.966 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9659999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9659999999999712 Order of pole (three term test) 650.9999999999806 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.035000000000000024 y[1] (analytic) 1.0362694300518136 y[1] (numeric) 1.0362694300518143 absolute error 6.661338147750939e-16 relative error 6.428191312579655e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.965 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.964999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9650000000000198 Order of pole (three term test) 651.0000000000143 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.036000000000000025 y[1] (analytic) 1.037344398340249 y[1] (numeric) 1.0373443983402497 absolute error 6.661338147750939e-16 relative error 6.421529974431905e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.964 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9639999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9639999999999873 Order of pole (three term test) 650.999999999992 Radius of convergence (six term test) for eq 1 0.2862167011199731 Order of pole (six term test) -11.875 TOP MAIN SOLVE Loop x[1] 0.037000000000000026 y[1] (analytic) 1.0384215991692627 y[1] (numeric) 1.0384215991692636 absolute error 8.881784197001252e-16 relative error 8.553158181712206e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.963 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9629999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9629999999999795 Order of pole (three term test) 650.9999999999862 Radius of convergence (six term test) for eq 1 0.16 Order of pole (six term test) -12.25 TOP MAIN SOLVE Loop x[1] 0.03800000000000003 y[1] (analytic) 1.0395010395010396 y[1] (numeric) 1.0395010395010404 absolute error 8.881784197001252e-16 relative error 8.544276397515204e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.962 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9619999999999987 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9620000000000032 Order of pole (three term test) 651.000000000003 Radius of convergence (six term test) for eq 1 0.33049457887636624 Order of pole (six term test) -12.833333333333334 TOP MAIN SOLVE Loop x[1] 0.03900000000000003 y[1] (analytic) 1.040582726326743 y[1] (numeric) 1.040582726326744 absolute error 8.881784197001252e-16 relative error 8.535394613318203e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.961 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9609999999999983 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9610000000000124 Order of pole (three term test) 651.0000000000093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.04000000000000003 y[1] (analytic) 1.0416666666666667 y[1] (numeric) 1.0416666666666676 absolute error 8.881784197001252e-16 relative error 8.526512829121202e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.96 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9599999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9599999999999939 Order of pole (three term test) 650.9999999999964 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.04100000000000003 y[1] (analytic) 1.0427528675703859 y[1] (numeric) 1.0427528675703868 absolute error 8.881784197001252e-16 relative error 8.5176310449242e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.959 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9589999999999987 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9590000000000076 Order of pole (three term test) 651.0000000000059 Radius of convergence (six term test) for eq 1 0.31353468707624677 Order of pole (six term test) -13.0 TOP MAIN SOLVE Loop x[1] 0.04200000000000003 y[1] (analytic) 1.0438413361169103 y[1] (numeric) 1.0438413361169112 absolute error 8.881784197001252e-16 relative error 8.5087492607272e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.958 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9579999999999986 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9580000000000108 Order of pole (three term test) 651.000000000008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.04300000000000003 y[1] (analytic) 1.044932079414838 y[1] (numeric) 1.0449320794148391 absolute error 1.1102230246251565e-15 relative error 1.0624834345662748e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.957 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9569999999999984 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9570000000000003 Order of pole (three term test) 651.0000000000008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.04400000000000003 y[1] (analytic) 1.0460251046025104 y[1] (numeric) 1.0460251046025115 absolute error 1.1102230246251565e-15 relative error 1.0613732115416497e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.956 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9559999999999987 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9559999999999849 Order of pole (three term test) 650.9999999999902 Radius of convergence (six term test) for eq 1 0.16759133970124213 Order of pole (six term test) -12.5 TOP MAIN SOLVE Loop x[1] 0.04500000000000003 y[1] (analytic) 1.0471204188481675 y[1] (numeric) 1.0471204188481686 absolute error 1.1102230246251565e-15 relative error 1.0602629885170245e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.955 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9549999999999985 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9549999999999914 Order of pole (three term test) 650.9999999999947 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.046000000000000034 y[1] (analytic) 1.0482180293501049 y[1] (numeric) 1.048218029350106 absolute error 1.1102230246251565e-15 relative error 1.0591527654923992e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.954 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9539999999999983 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9540000000000213 Order of pole (three term test) 651.0000000000157 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.047000000000000035 y[1] (analytic) 1.0493179433368311 y[1] (numeric) 1.0493179433368323 absolute error 1.1102230246251565e-15 relative error 1.058042542467774e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.953 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9529999999999986 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9530000000000043 Order of pole (three term test) 651.0000000000039 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.048000000000000036 y[1] (analytic) 1.050420168067227 y[1] (numeric) 1.050420168067228 absolute error 1.1102230246251565e-15 relative error 1.056932319443149e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.952 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9519999999999986 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9520000000000097 Order of pole (three term test) 651.0000000000074 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.04900000000000004 y[1] (analytic) 1.0515247108307046 y[1] (numeric) 1.0515247108307058 absolute error 1.1102230246251565e-15 relative error 1.0558220964185237e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.951 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9509999999999985 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9510000000000154 Order of pole (three term test) 651.0000000000113 Radius of convergence (six term test) for eq 1 0.053850004724693916 Order of pole (six term test) -11.814159292035399 TOP MAIN SOLVE Loop x[1] 0.05000000000000004 y[1] (analytic) 1.0526315789473684 y[1] (numeric) 1.0526315789473697 absolute error 1.3322676295501878e-15 relative error 1.2656542480726785e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.95 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9499999999999982 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9499999999999726 Order of pole (three term test) 650.9999999999818 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.05100000000000004 y[1] (analytic) 1.053740779768177 y[1] (numeric) 1.0537407797681784 absolute error 1.3322676295501878e-15 relative error 1.2643219804431282e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.949 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9489999999999981 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9489999999999679 Order of pole (three term test) 650.9999999999785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.05200000000000004 y[1] (analytic) 1.0548523206751055 y[1] (numeric) 1.0548523206751068 absolute error 1.3322676295501878e-15 relative error 1.262989712813578e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.948 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9479999999999984 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9480000000000147 Order of pole (three term test) 651.000000000011 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.05300000000000004 y[1] (analytic) 1.0559662090813096 y[1] (numeric) 1.0559662090813107 absolute error 1.1102230246251565e-15 relative error 1.0513812043200231e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.947 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9469999999999985 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9469999999999997 Order of pole (three term test) 651.0000000000003 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.05400000000000004 y[1] (analytic) 1.0570824524312896 y[1] (numeric) 1.057082452431291 absolute error 1.3322676295501878e-15 relative error 1.2603251775544778e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.946 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9459999999999984 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9460000000000173 Order of pole (three term test) 651.000000000013 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.05500000000000004 y[1] (analytic) 1.0582010582010584 y[1] (numeric) 1.0582010582010595 absolute error 1.1102230246251565e-15 relative error 1.0491607582707728e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.945 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9449999999999985 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9450000000000106 Order of pole (three term test) 651.0000000000081 Radius of convergence (six term test) for eq 1 0.2257707785441784 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.05600000000000004 y[1] (analytic) 1.0593220338983051 y[1] (numeric) 1.0593220338983063 absolute error 1.1102230246251565e-15 relative error 1.0480505352461476e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.944 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9439999999999985 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.943999999999984 Order of pole (three term test) 650.9999999999897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.057000000000000044 y[1] (analytic) 1.0604453870625663 y[1] (numeric) 1.0604453870625674 absolute error 1.1102230246251565e-15 relative error 1.0469403122215226e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.943 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.942999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.943000000000034 Order of pole (three term test) 651.0000000000247 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.058000000000000045 y[1] (analytic) 1.0615711252653928 y[1] (numeric) 1.0615711252653939 absolute error 1.1102230246251565e-15 relative error 1.0458300891968975e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.942 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9419999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9420000000000033 Order of pole (three term test) 651.0000000000028 Radius of convergence (six term test) for eq 1 0.15245464441810608 Order of pole (six term test) -12.343023255813954 TOP MAIN SOLVE Loop x[1] 0.059000000000000045 y[1] (analytic) 1.0626992561105209 y[1] (numeric) 1.0626992561105217 absolute error 8.881784197001252e-16 relative error 8.357758929378178e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.941 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.940999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9410000000000204 Order of pole (three term test) 651.0000000000148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.060000000000000046 y[1] (analytic) 1.0638297872340425 y[1] (numeric) 1.0638297872340436 absolute error 1.1102230246251565e-15 relative error 1.0436096431476471e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.94 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9399999999999987 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9400000000000139 Order of pole (three term test) 651.0000000000105 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.06100000000000005 y[1] (analytic) 1.0649627263045793 y[1] (numeric) 1.0649627263045804 absolute error 1.1102230246251565e-15 relative error 1.042499420123022e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.939 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9389999999999984 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9390000000000042 Order of pole (three term test) 651.0000000000036 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] 0.06200000000000005 y[1] (analytic) 1.0660980810234542 y[1] (numeric) 1.0660980810234553 absolute error 1.1102230246251565e-15 relative error 1.0413891970983968e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.938 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9379999999999984 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9379999999999947 Order of pole (three term test) 650.999999999997 Radius of convergence (six term test) for eq 1 0.256 Order of pole (six term test) -12.333333333333334 TOP MAIN SOLVE Loop x[1] 0.06300000000000004 y[1] (analytic) 1.0672358591248667 y[1] (numeric) 1.0672358591248676 absolute error 8.881784197001252e-16 relative error 8.322231792590172e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9369999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9369999999999986 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9369999999999804 Order of pole (three term test) 650.9999999999867 Radius of convergence (six term test) for eq 1 0.512 Order of pole (six term test) -15.5 TOP MAIN SOLVE Loop x[1] 0.06400000000000004 y[1] (analytic) 1.0683760683760684 y[1] (numeric) 1.0683760683760695 absolute error 1.1102230246251565e-15 relative error 1.0391687510491465e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.9359999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9359999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9360000000000094 Order of pole (three term test) 651.0000000000072 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.06500000000000004 y[1] (analytic) 1.0695187165775402 y[1] (numeric) 1.0695187165775413 absolute error 1.1102230246251565e-15 relative error 1.0380585280245214e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.9349999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9349999999999984 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9349999999999921 Order of pole (three term test) 650.9999999999953 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.06600000000000004 y[1] (analytic) 1.0706638115631693 y[1] (numeric) 1.0706638115631704 absolute error 1.1102230246251565e-15 relative error 1.0369483049998961e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.9339999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9339999999999983 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9340000000000112 Order of pole (three term test) 651.0000000000086 Radius of convergence (six term test) for eq 1 0.23553269225907264 Order of pole (six term test) -11.49561403508772 TOP MAIN SOLVE Loop x[1] 0.06700000000000005 y[1] (analytic) 1.0718113612004287 y[1] (numeric) 1.0718113612004299 absolute error 1.1102230246251565e-15 relative error 1.035838081975271e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.9329999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9329999999999984 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9329999999999933 Order of pole (three term test) 650.9999999999959 Radius of convergence (six term test) for eq 1 0.2830186487769942 Order of pole (six term test) -11.38888888888889 TOP MAIN SOLVE Loop x[1] 0.06800000000000005 y[1] (analytic) 1.072961373390558 y[1] (numeric) 1.072961373390559 absolute error 8.881784197001252e-16 relative error 8.277822871605166e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9319999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9319999999999987 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9320000000000053 Order of pole (three term test) 651.0000000000043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.06900000000000005 y[1] (analytic) 1.0741138560687433 y[1] (numeric) 1.0741138560687442 absolute error 8.881784197001252e-16 relative error 8.268941087408165e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9309999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9309999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9309999999999713 Order of pole (three term test) 650.99999999998 Radius of convergence (six term test) for eq 1 0.5450656229605142 Order of pole (six term test) -17.733333333333334 TOP MAIN SOLVE Loop x[1] 0.07000000000000005 y[1] (analytic) 1.0752688172043012 y[1] (numeric) 1.075268817204302 absolute error 6.661338147750939e-16 relative error 6.195044477408372e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9299999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.929999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9299999999999996 Order of pole (three term test) 651.0000000000005 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.07100000000000005 y[1] (analytic) 1.0764262648008611 y[1] (numeric) 1.076426264800862 absolute error 8.881784197001252e-16 relative error 8.251177519014164e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9289999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9289999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9289999999999948 Order of pole (three term test) 650.9999999999968 Radius of convergence (six term test) for eq 1 0.16190861620062102 Order of pole (six term test) -11.8 TOP MAIN SOLVE Loop x[1] 0.07200000000000005 y[1] (analytic) 1.0775862068965518 y[1] (numeric) 1.0775862068965525 absolute error 6.661338147750939e-16 relative error 6.181721801112871e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9279999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.927999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9279999999999832 Order of pole (three term test) 650.9999999999887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.07300000000000005 y[1] (analytic) 1.0787486515641855 y[1] (numeric) 1.0787486515641864 absolute error 8.881784197001252e-16 relative error 8.233413950620161e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9269999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9269999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9269999999999852 Order of pole (three term test) 650.9999999999899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.07400000000000005 y[1] (analytic) 1.0799136069114472 y[1] (numeric) 1.0799136069114479 absolute error 6.661338147750939e-16 relative error 6.168399124817369e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9259999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9259999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9260000000000302 Order of pole (three term test) 651.0000000000222 Radius of convergence (six term test) for eq 1 0.3408481400058603 Order of pole (six term test) -16.59090909090909 TOP MAIN SOLVE Loop x[1] 0.07500000000000005 y[1] (analytic) 1.0810810810810811 y[1] (numeric) 1.0810810810810818 absolute error 6.661338147750939e-16 relative error 6.161737786669619e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9249999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9249999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9249999999999916 Order of pole (three term test) 650.9999999999948 Radius of convergence (six term test) for eq 1 0.04872876720812039 Order of pole (six term test) -12.014492753623188 TOP MAIN SOLVE Loop x[1] 0.07600000000000005 y[1] (analytic) 1.0822510822510822 y[1] (numeric) 1.082251082251083 absolute error 6.661338147750939e-16 relative error 6.155076448521868e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9239999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9239999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9239999999999957 Order of pole (three term test) 650.9999999999976 Radius of convergence (six term test) for eq 1 0.15245464441810608 Order of pole (six term test) -12.343023255813954 TOP MAIN SOLVE Loop x[1] 0.07700000000000005 y[1] (analytic) 1.0834236186348862 y[1] (numeric) 1.083423618634887 absolute error 6.661338147750939e-16 relative error 6.148415110374116e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9229999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9229999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9230000000000028 Order of pole (three term test) 651.0000000000025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.07800000000000006 y[1] (analytic) 1.0845986984815619 y[1] (numeric) 1.0845986984815625 absolute error 6.661338147750939e-16 relative error 6.141753772226365e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9219999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.921999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9219999999999987 Order of pole (three term test) 650.9999999999994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.07900000000000006 y[1] (analytic) 1.0857763300760044 y[1] (numeric) 1.085776330076005 absolute error 6.661338147750939e-16 relative error 6.135092434078615e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9209999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.920999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9210000000000202 Order of pole (three term test) 651.0000000000149 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08000000000000006 y[1] (analytic) 1.0869565217391306 y[1] (numeric) 1.086956521739131 absolute error 4.440892098500626e-16 relative error 4.0856207306205754e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9199999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9199999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9199999999999642 Order of pole (three term test) 650.9999999999746 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08100000000000006 y[1] (analytic) 1.0881392818280742 y[1] (numeric) 1.0881392818280746 absolute error 4.440892098500626e-16 relative error 4.0811798385220744e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9189999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9189999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9190000000000241 Order of pole (three term test) 651.0000000000177 Radius of convergence (six term test) for eq 1 0.3584481170707679 Order of pole (six term test) -14.355263157894736 TOP MAIN SOLVE Loop x[1] 0.08200000000000006 y[1] (analytic) 1.0893246187363834 y[1] (numeric) 1.089324618736384 absolute error 6.661338147750939e-16 relative error 6.115108419635362e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9179999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.917999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9180000000000053 Order of pole (three term test) 651.000000000004 Radius of convergence (six term test) for eq 1 0.23700994554177318 Order of pole (six term test) -11.952380952380953 TOP MAIN SOLVE Loop x[1] 0.08300000000000006 y[1] (analytic) 1.0905125408942205 y[1] (numeric) 1.090512540894221 absolute error 4.440892098500626e-16 relative error 4.072298054325074e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9169999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.916999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9169999999999944 Order of pole (three term test) 650.9999999999965 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08400000000000006 y[1] (analytic) 1.091703056768559 y[1] (numeric) 1.0917030567685595 absolute error 4.440892098500626e-16 relative error 4.067857162226573e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9159999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9159999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9159999999999601 Order of pole (three term test) 650.9999999999715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08500000000000006 y[1] (analytic) 1.092896174863388 y[1] (numeric) 1.0928961748633885 absolute error 4.440892098500626e-16 relative error 4.063416270128072e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9149999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.914999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9150000000000181 Order of pole (three term test) 651.0000000000135 Radius of convergence (six term test) for eq 1 0.2748327072041327 Order of pole (six term test) -12.912429378531073 TOP MAIN SOLVE Loop x[1] 0.08600000000000006 y[1] (analytic) 1.0940919037199126 y[1] (numeric) 1.094091903719913 absolute error 4.440892098500626e-16 relative error 4.058975378029572e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9139999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9139999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9140000000000167 Order of pole (three term test) 651.0000000000125 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08700000000000006 y[1] (analytic) 1.095290251916758 y[1] (numeric) 1.0952902519167584 absolute error 4.440892098500626e-16 relative error 4.0545344859310716e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9129999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.912999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9130000000000066 Order of pole (three term test) 651.0000000000051 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08800000000000006 y[1] (analytic) 1.0964912280701755 y[1] (numeric) 1.096491228070176 absolute error 4.440892098500626e-16 relative error 4.0500935938325706e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9119999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9119999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9119999999999856 Order of pole (three term test) 650.9999999999901 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08900000000000007 y[1] (analytic) 1.0976948408342482 y[1] (numeric) 1.0976948408342486 absolute error 4.440892098500626e-16 relative error 4.04565270173407e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9109999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9109999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9109999999999905 Order of pole (three term test) 650.9999999999934 Radius of convergence (six term test) for eq 1 0.1810193359837562 Order of pole (six term test) -12.8 TOP MAIN SOLVE Loop x[1] 0.09000000000000007 y[1] (analytic) 1.098901098901099 y[1] (numeric) 1.0989010989010994 absolute error 4.440892098500626e-16 relative error 4.041211809635569e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9099999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9099999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.909999999999986 Order of pole (three term test) 650.9999999999902 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09100000000000007 y[1] (analytic) 1.1001100110011002 y[1] (numeric) 1.1001100110011006 absolute error 4.440892098500626e-16 relative error 4.036770917537069e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9089999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9089999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9089999999999824 Order of pole (three term test) 650.9999999999875 Radius of convergence (six term test) for eq 1 0.4615105632593906 Order of pole (six term test) -15.25 TOP MAIN SOLVE Loop x[1] 0.09200000000000007 y[1] (analytic) 1.1013215859030838 y[1] (numeric) 1.1013215859030843 absolute error 4.440892098500626e-16 relative error 4.032330025438568e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9079999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9079999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9080000000000044 Order of pole (three term test) 651.0000000000034 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09300000000000007 y[1] (analytic) 1.1025358324145536 y[1] (numeric) 1.102535832414554 absolute error 4.440892098500626e-16 relative error 4.0278891333400674e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9069999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9069999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9069999999999925 Order of pole (three term test) 650.999999999995 Radius of convergence (six term test) for eq 1 0.4789321455070645 Order of pole (six term test) -12.3 TOP MAIN SOLVE Loop x[1] 0.09400000000000007 y[1] (analytic) 1.1037527593818985 y[1] (numeric) 1.103752759381899 absolute error 4.440892098500626e-16 relative error 4.023448241241567e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9059999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9059999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9060000000000239 Order of pole (three term test) 651.0000000000176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09500000000000007 y[1] (analytic) 1.1049723756906078 y[1] (numeric) 1.1049723756906082 absolute error 4.440892098500626e-16 relative error 4.0190073491430667e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9049999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9049999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9050000000000324 Order of pole (three term test) 651.000000000024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09600000000000007 y[1] (analytic) 1.106194690265487 y[1] (numeric) 1.1061946902654873 absolute error 4.440892098500626e-16 relative error 4.0145664570445657e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9039999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9039999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9040000000000157 Order of pole (three term test) 651.0000000000115 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09700000000000007 y[1] (analytic) 1.1074197120708749 y[1] (numeric) 1.1074197120708755 absolute error 6.661338147750939e-16 relative error 6.015188347419098e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9029999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9029999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9030000000000017 Order of pole (three term test) 651.0000000000017 Radius of convergence (six term test) for eq 1 0.2048 Order of pole (six term test) -11.9 TOP MAIN SOLVE Loop x[1] 0.09800000000000007 y[1] (analytic) 1.108647450110865 y[1] (numeric) 1.1086474501108654 absolute error 4.440892098500626e-16 relative error 4.005684672847564e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9019999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9019999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9020000000000018 Order of pole (three term test) 651.0000000000018 Radius of convergence (six term test) for eq 1 0.4789321455070645 Order of pole (six term test) -10.0 TOP MAIN SOLVE Loop x[1] 0.09900000000000007 y[1] (analytic) 1.109877913429523 y[1] (numeric) 1.1098779134295234 absolute error 4.440892098500626e-16 relative error 4.001243780749063e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.9009999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.9009999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.900999999999998 Order of pole (three term test) 650.9999999999991 Radius of convergence (six term test) for eq 1 0.11684747893443545 Order of pole (six term test) -10.625 TOP MAIN SOLVE Loop x[1] 0.10000000000000007 y[1] (analytic) 1.1111111111111112 y[1] (numeric) 1.1111111111111116 absolute error 4.440892098500626e-16 relative error 3.9968028886505635e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8999999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8999999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9000000000000139 Order of pole (three term test) 651.0000000000103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.10100000000000008 y[1] (analytic) 1.1123470522803116 y[1] (numeric) 1.112347052280312 absolute error 4.440892098500626e-16 relative error 3.9923619965520625e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8989999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8989999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8989999999999998 Order of pole (three term test) 651.0000000000003 Radius of convergence (six term test) for eq 1 0.128 Order of pole (six term test) -10.0 TOP MAIN SOLVE Loop x[1] 0.10200000000000008 y[1] (analytic) 1.11358574610245 y[1] (numeric) 1.1135857461024505 absolute error 4.440892098500626e-16 relative error 3.9879211044535615e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8979999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8979999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.897999999999974 Order of pole (three term test) 650.9999999999811 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.10300000000000008 y[1] (analytic) 1.1148272017837237 y[1] (numeric) 1.1148272017837242 absolute error 4.440892098500626e-16 relative error 3.983480212355061e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8969999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8969999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8969999999999997 Order of pole (three term test) 650.9999999999999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.10400000000000008 y[1] (analytic) 1.1160714285714286 y[1] (numeric) 1.1160714285714293 absolute error 6.661338147750939e-16 relative error 5.968558980384842e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8959999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.895999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8960000000000116 Order of pole (three term test) 651.0000000000089 Radius of convergence (six term test) for eq 1 0.12067955732250411 Order of pole (six term test) -11.944444444444445 TOP MAIN SOLVE Loop x[1] 0.10500000000000008 y[1] (analytic) 1.11731843575419 y[1] (numeric) 1.1173184357541905 absolute error 4.440892098500626e-16 relative error 3.97459842815806e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8949999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8949999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8950000000000149 Order of pole (three term test) 651.0000000000114 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.10600000000000008 y[1] (analytic) 1.1185682326621924 y[1] (numeric) 1.118568232662193 absolute error 6.661338147750939e-16 relative error 5.95523630408934e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8939999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8939999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8940000000000115 Order of pole (three term test) 651.0000000000089 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.10700000000000008 y[1] (analytic) 1.1198208286674134 y[1] (numeric) 1.1198208286674138 absolute error 4.440892098500626e-16 relative error 3.9657166439610584e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8929999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8929999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.892999999999978 Order of pole (three term test) 650.9999999999839 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.10800000000000008 y[1] (analytic) 1.1210762331838566 y[1] (numeric) 1.121076233183857 absolute error 4.440892098500626e-16 relative error 3.961275751862558e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8919999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8919999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8919999999999975 Order of pole (three term test) 650.9999999999984 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.10900000000000008 y[1] (analytic) 1.1223344556677892 y[1] (numeric) 1.1223344556677897 absolute error 4.440892098500626e-16 relative error 3.956834859764057e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8909999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8909999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8909999999999627 Order of pole (three term test) 650.9999999999727 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11000000000000008 y[1] (analytic) 1.1235955056179776 y[1] (numeric) 1.1235955056179783 absolute error 6.661338147750939e-16 relative error 5.928590951498336e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8899999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.889999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8900000000000259 Order of pole (three term test) 651.00000000002 Radius of convergence (six term test) for eq 1 0.1752252094184739 Order of pole (six term test) -12.507874015748031 TOP MAIN SOLVE Loop x[1] 0.11100000000000008 y[1] (analytic) 1.124859392575928 y[1] (numeric) 1.1248593925759287 absolute error 6.661338147750939e-16 relative error 5.921929613350585e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8889999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8889999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8890000000000102 Order of pole (three term test) 651.0000000000078 Radius of convergence (six term test) for eq 1 0.29460298525120027 Order of pole (six term test) -12.54054054054054 TOP MAIN SOLVE Loop x[1] 0.11200000000000009 y[1] (analytic) 1.1261261261261262 y[1] (numeric) 1.1261261261261268 absolute error 6.661338147750939e-16 relative error 5.915268275202834e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8879999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8879999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8879999999999927 Order of pole (three term test) 650.9999999999951 Radius of convergence (six term test) for eq 1 0.21635948921050024 Order of pole (six term test) -12.285714285714286 TOP MAIN SOLVE Loop x[1] 0.11300000000000009 y[1] (analytic) 1.1273957158962797 y[1] (numeric) 1.1273957158962804 absolute error 6.661338147750939e-16 relative error 5.908606937055082e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8869999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.886999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8869999999999864 Order of pole (three term test) 650.9999999999902 Radius of convergence (six term test) for eq 1 0.2526534508645513 Order of pole (six term test) -12.681818181818182 TOP MAIN SOLVE Loop x[1] 0.11400000000000009 y[1] (analytic) 1.1286681715575622 y[1] (numeric) 1.1286681715575628 absolute error 6.661338147750939e-16 relative error 5.901945598907331e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8859999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.885999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8859999999999696 Order of pole (three term test) 650.9999999999777 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11500000000000009 y[1] (analytic) 1.1299435028248588 y[1] (numeric) 1.1299435028248594 absolute error 6.661338147750939e-16 relative error 5.895284260759581e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8849999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8849999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8850000000000103 Order of pole (three term test) 651.0000000000082 Radius of convergence (six term test) for eq 1 0.13883549300393994 Order of pole (six term test) -11.441176470588236 TOP MAIN SOLVE Loop x[1] 0.11600000000000009 y[1] (analytic) 1.1312217194570138 y[1] (numeric) 1.1312217194570142 absolute error 4.440892098500626e-16 relative error 3.925748615074553e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8839999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8839999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8840000000000059 Order of pole (three term test) 651.0000000000048 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11700000000000009 y[1] (analytic) 1.1325028312570782 y[1] (numeric) 1.1325028312570788 absolute error 6.661338147750939e-16 relative error 5.881961584464079e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8829999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8829999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8829999999999707 Order of pole (three term test) 650.9999999999784 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11800000000000009 y[1] (analytic) 1.1337868480725626 y[1] (numeric) 1.133786848072563 absolute error 4.440892098500626e-16 relative error 3.916866830877552e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8819999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8819999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8820000000000251 Order of pole (three term test) 651.0000000000192 Radius of convergence (six term test) for eq 1 0.2956033378250884 Order of pole (six term test) -13.666666666666666 TOP MAIN SOLVE Loop x[1] 0.11900000000000009 y[1] (analytic) 1.135073779795687 y[1] (numeric) 1.1350737797956874 absolute error 4.440892098500626e-16 relative error 3.912425938779051e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8809999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8809999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.881 Order of pole (three term test) 651.0000000000007 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12000000000000009 y[1] (analytic) 1.1363636363636365 y[1] (numeric) 1.136363636363637 absolute error 4.440892098500626e-16 relative error 3.9079850466805504e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8799999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8799999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8800000000000265 Order of pole (three term test) 651.0000000000205 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1210000000000001 y[1] (analytic) 1.137656427758817 y[1] (numeric) 1.1376564277588175 absolute error 4.440892098500626e-16 relative error 3.90354415458205e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8789999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8789999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8790000000000039 Order of pole (three term test) 651.0000000000032 Radius of convergence (six term test) for eq 1 0.31353468707624677 Order of pole (six term test) -12.5 TOP MAIN SOLVE Loop x[1] 0.1220000000000001 y[1] (analytic) 1.1389521640091118 y[1] (numeric) 1.1389521640091123 absolute error 4.440892098500626e-16 relative error 3.899103262483549e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8779999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8779999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8780000000000036 Order of pole (three term test) 651.0000000000032 Radius of convergence (six term test) for eq 1 0.14021697472132252 Order of pole (six term test) -12.566666666666666 TOP MAIN SOLVE Loop x[1] 0.1230000000000001 y[1] (analytic) 1.1402508551881416 y[1] (numeric) 1.140250855188142 absolute error 4.440892098500626e-16 relative error 3.8946623703850486e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8769999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8769999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8769999999999787 Order of pole (three term test) 650.9999999999842 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1240000000000001 y[1] (analytic) 1.1415525114155252 y[1] (numeric) 1.1415525114155258 absolute error 6.661338147750939e-16 relative error 5.835332217429823e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8759999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.875999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8759999999999735 Order of pole (three term test) 650.9999999999801 Radius of convergence (six term test) for eq 1 0.0777783833920256 Order of pole (six term test) -12.146153846153846 TOP MAIN SOLVE Loop x[1] 0.12500000000000008 y[1] (analytic) 1.142857142857143 y[1] (numeric) 1.1428571428571437 absolute error 6.661338147750939e-16 relative error 5.82867087928207e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8749999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8749999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8749999999999704 Order of pole (three term test) 650.999999999978 Radius of convergence (six term test) for eq 1 0.08379566985062106 Order of pole (six term test) -12.178571428571429 TOP MAIN SOLVE Loop x[1] 0.12600000000000008 y[1] (analytic) 1.1441647597254005 y[1] (numeric) 1.1441647597254012 absolute error 6.661338147750939e-16 relative error 5.822009541134321e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8739999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8739999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8739999999999869 Order of pole (three term test) 650.9999999999906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12700000000000009 y[1] (analytic) 1.1454753722794961 y[1] (numeric) 1.1454753722794968 absolute error 6.661338147750939e-16 relative error 5.81534820298657e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8729999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8729999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8730000000000004 Order of pole (three term test) 651.0000000000008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12800000000000009 y[1] (analytic) 1.1467889908256883 y[1] (numeric) 1.146788990825689 absolute error 6.661338147750939e-16 relative error 5.808686864838818e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8719999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.871999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8719999999999789 Order of pole (three term test) 650.9999999999844 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1290000000000001 y[1] (analytic) 1.1481056257175661 y[1] (numeric) 1.148105625717567 absolute error 8.881784197001252e-16 relative error 7.73603403558809e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8709999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8709999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8710000000000117 Order of pole (three term test) 651.0000000000095 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1300000000000001 y[1] (analytic) 1.149425287356322 y[1] (numeric) 1.1494252873563229 absolute error 8.881784197001252e-16 relative error 7.727152251391088e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8699999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8699999999999988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8700000000000158 Order of pole (three term test) 651.0000000000128 Radius of convergence (six term test) for eq 1 0.09329523031752482 Order of pole (six term test) -11.8203125 TOP MAIN SOLVE Loop x[1] 0.1310000000000001 y[1] (analytic) 1.1507479861910244 y[1] (numeric) 1.1507479861910253 absolute error 8.881784197001252e-16 relative error 7.718270467194088e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8689999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.868999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8690000000000097 Order of pole (three term test) 651.000000000008 Radius of convergence (six term test) for eq 1 0.4789321455070645 Order of pole (six term test) -16.285714285714285 TOP MAIN SOLVE Loop x[1] 0.1320000000000001 y[1] (analytic) 1.1520737327188941 y[1] (numeric) 1.152073732718895 absolute error 8.881784197001252e-16 relative error 7.709388682997087e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8679999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.867999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8680000000000064 Order of pole (three term test) 651.0000000000055 Radius of convergence (six term test) for eq 1 0.37253472005580746 Order of pole (six term test) -13.882352941176471 TOP MAIN SOLVE Loop x[1] 0.1330000000000001 y[1] (analytic) 1.1534025374855825 y[1] (numeric) 1.1534025374855834 absolute error 8.881784197001252e-16 relative error 7.700506898800086e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8669999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8669999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8670000000000189 Order of pole (three term test) 651.0000000000151 Radius of convergence (six term test) for eq 1 0.15372923855883366 Order of pole (six term test) -12.236363636363636 TOP MAIN SOLVE Loop x[1] 0.1340000000000001 y[1] (analytic) 1.1547344110854505 y[1] (numeric) 1.1547344110854514 absolute error 8.881784197001252e-16 relative error 7.691625114603084e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8659999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8659999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8659999999999706 Order of pole (three term test) 650.9999999999781 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1350000000000001 y[1] (analytic) 1.1560693641618498 y[1] (numeric) 1.1560693641618507 absolute error 8.881784197001252e-16 relative error 7.682743330406083e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8649999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.864999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8649999999999952 Order of pole (three term test) 650.9999999999968 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1360000000000001 y[1] (analytic) 1.1574074074074077 y[1] (numeric) 1.1574074074074083 absolute error 6.661338147750939e-16 relative error 5.75539615965681e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8639999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.863999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8640000000000065 Order of pole (three term test) 651.0000000000055 Radius of convergence (six term test) for eq 1 0.05348549721839008 Order of pole (six term test) -11.873015873015873 TOP MAIN SOLVE Loop x[1] 0.1370000000000001 y[1] (analytic) 1.1587485515643108 y[1] (numeric) 1.1587485515643114 absolute error 6.661338147750939e-16 relative error 5.748734821509059e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8629999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8629999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8629999999999648 Order of pole (three term test) 650.9999999999734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1380000000000001 y[1] (analytic) 1.1600928074245942 y[1] (numeric) 1.1600928074245949 absolute error 6.661338147750939e-16 relative error 5.742073483361309e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8619999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8619999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8619999999999742 Order of pole (three term test) 650.9999999999807 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1390000000000001 y[1] (analytic) 1.16144018583043 y[1] (numeric) 1.1614401858304306 absolute error 6.661338147750939e-16 relative error 5.735412145213558e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8609999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8609999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8609999999999557 Order of pole (three term test) 650.9999999999663 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1400000000000001 y[1] (analytic) 1.1627906976744187 y[1] (numeric) 1.1627906976744196 absolute error 8.881784197001252e-16 relative error 7.638334409421077e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8599999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.859999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8600000000000078 Order of pole (three term test) 651.0000000000068 Radius of convergence (six term test) for eq 1 0.5916926656012527 Order of pole (six term test) -16.263157894736842 TOP MAIN SOLVE Loop x[1] 0.1410000000000001 y[1] (analytic) 1.1641443538998837 y[1] (numeric) 1.1641443538998846 absolute error 8.881784197001252e-16 relative error 7.629452625224075e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8589999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8589999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.858999999999992 Order of pole (three term test) 650.9999999999945 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1420000000000001 y[1] (analytic) 1.1655011655011658 y[1] (numeric) 1.1655011655011664 absolute error 6.661338147750939e-16 relative error 5.715428130770304e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8579999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.857999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8580000000000035 Order of pole (three term test) 651.0000000000035 Radius of convergence (six term test) for eq 1 0.21333333333333335 Order of pole (six term test) -12.916666666666666 TOP MAIN SOLVE Loop x[1] 0.1430000000000001 y[1] (analytic) 1.166861143523921 y[1] (numeric) 1.1668611435239216 absolute error 6.661338147750939e-16 relative error 5.708766792622554e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8569999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.856999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8570000000000106 Order of pole (three term test) 651.0000000000089 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1440000000000001 y[1] (analytic) 1.1682242990654208 y[1] (numeric) 1.1682242990654215 absolute error 6.661338147750939e-16 relative error 5.702105454474803e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8559999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8559999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8559999999999999 Order of pole (three term test) 651.0000000000006 Radius of convergence (six term test) for eq 1 0.5724334022399462 Order of pole (six term test) -15.0 TOP MAIN SOLVE Loop x[1] 0.1450000000000001 y[1] (analytic) 1.169590643274854 y[1] (numeric) 1.1695906432748546 absolute error 6.661338147750939e-16 relative error 5.695444116327052e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8549999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8549999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8549999999999991 Order of pole (three term test) 650.9999999999999 Radius of convergence (six term test) for eq 1 0.1869559662950967 Order of pole (six term test) -12.3 TOP MAIN SOLVE Loop x[1] 0.1460000000000001 y[1] (analytic) 1.1709601873536302 y[1] (numeric) 1.1709601873536308 absolute error 6.661338147750939e-16 relative error 5.6887827781793e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8539999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8539999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8540000000000041 Order of pole (three term test) 651.0000000000035 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1470000000000001 y[1] (analytic) 1.172332942555686 y[1] (numeric) 1.1723329425556868 absolute error 6.661338147750939e-16 relative error 5.68212144003155e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8529999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8529999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8530000000000061 Order of pole (three term test) 651.0000000000053 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1480000000000001 y[1] (analytic) 1.1737089201877937 y[1] (numeric) 1.1737089201877944 absolute error 6.661338147750939e-16 relative error 5.675460101883799e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8519999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8519999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8519999999999978 Order of pole (three term test) 650.9999999999987 Radius of convergence (six term test) for eq 1 0.2814059937764889 Order of pole (six term test) -12.083333333333334 TOP MAIN SOLVE Loop x[1] 0.1490000000000001 y[1] (analytic) 1.175088131609871 y[1] (numeric) 1.1750881316098718 absolute error 8.881784197001252e-16 relative error 7.558398351648065e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8509999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8509999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8510000000000131 Order of pole (three term test) 651.0000000000106 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1500000000000001 y[1] (analytic) 1.1764705882352944 y[1] (numeric) 1.1764705882352953 absolute error 8.881784197001252e-16 relative error 7.549516567451063e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8499999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8499999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8500000000000211 Order of pole (three term test) 651.0000000000172 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1510000000000001 y[1] (analytic) 1.1778563015312133 y[1] (numeric) 1.1778563015312142 absolute error 8.881784197001252e-16 relative error 7.540634783254062e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8489999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8489999999999986 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.848999999999989 Order of pole (three term test) 650.9999999999918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1520000000000001 y[1] (analytic) 1.1792452830188682 y[1] (numeric) 1.1792452830188689 absolute error 6.661338147750939e-16 relative error 5.6488147492927953e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8479999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8479999999999989 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8480000000000202 Order of pole (three term test) 651.0000000000165 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1530000000000001 y[1] (analytic) 1.180637544273908 y[1] (numeric) 1.1806375442739088 absolute error 6.661338147750939e-16 relative error 5.642153411145045e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8469999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8469999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8470000000000092 Order of pole (three term test) 651.0000000000078 Radius of convergence (six term test) for eq 1 0.11763106428738469 Order of pole (six term test) -12.138051044083527 TOP MAIN SOLVE Loop x[1] 0.1540000000000001 y[1] (analytic) 1.182033096926714 y[1] (numeric) 1.1820330969267148 absolute error 6.661338147750939e-16 relative error 5.6354920729972936e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8459999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.845999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8460000000000137 Order of pole (three term test) 651.0000000000111 Radius of convergence (six term test) for eq 1 0.08976471978473942 Order of pole (six term test) -10.860655737704917 TOP MAIN SOLVE Loop x[1] 0.1550000000000001 y[1] (analytic) 1.1834319526627222 y[1] (numeric) 1.1834319526627226 absolute error 4.440892098500626e-16 relative error 3.7525538232330285e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8449999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.844999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8450000000000076 Order of pole (three term test) 651.0000000000064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1560000000000001 y[1] (analytic) 1.184834123222749 y[1] (numeric) 1.1848341232227495 absolute error 4.440892098500626e-16 relative error 3.7481129311345275e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8439999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.843999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8440000000000161 Order of pole (three term test) 651.0000000000128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1570000000000001 y[1] (analytic) 1.1862396204033216 y[1] (numeric) 1.186239620403322 absolute error 4.440892098500626e-16 relative error 3.743672039036027e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8429999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8429999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8430000000000175 Order of pole (three term test) 651.0000000000141 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1580000000000001 y[1] (analytic) 1.1876484560570073 y[1] (numeric) 1.1876484560570078 absolute error 4.440892098500626e-16 relative error 3.739231146937527e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8419999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8419999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8420000000000071 Order of pole (three term test) 651.0000000000063 Radius of convergence (six term test) for eq 1 0.5430580079512685 Order of pole (six term test) -16.95 TOP MAIN SOLVE Loop x[1] 0.1590000000000001 y[1] (analytic) 1.189060642092747 y[1] (numeric) 1.1890606420927474 absolute error 4.440892098500626e-16 relative error 3.734790254839026e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8409999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8409999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8409999999999909 Order of pole (three term test) 650.999999999993 Radius of convergence (six term test) for eq 1 0.2012455596551111 Order of pole (six term test) -12.668539325842696 TOP MAIN SOLVE Loop x[1] 0.16000000000000011 y[1] (analytic) 1.1904761904761907 y[1] (numeric) 1.1904761904761911 absolute error 4.440892098500626e-16 relative error 3.7303493627405253e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8399999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8399999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8400000000000226 Order of pole (three term test) 651.0000000000183 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16100000000000012 y[1] (analytic) 1.191895113230036 y[1] (numeric) 1.1918951132300364 absolute error 4.440892098500626e-16 relative error 3.725908470642025e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8389999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8389999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8390000000000006 Order of pole (three term test) 651.0000000000008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16200000000000012 y[1] (analytic) 1.1933174224343677 y[1] (numeric) 1.1933174224343681 absolute error 4.440892098500626e-16 relative error 3.7214675785435246e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8379999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8379999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.838000000000007 Order of pole (three term test) 651.0000000000058 Radius of convergence (six term test) for eq 1 0.5066385957136178 Order of pole (six term test) -10.083333333333334 TOP MAIN SOLVE Loop x[1] 0.16300000000000012 y[1] (analytic) 1.1947431302270013 y[1] (numeric) 1.1947431302270017 absolute error 4.440892098500626e-16 relative error 3.7170266864450236e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8369999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8369999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8370000000000002 Order of pole (three term test) 651.0000000000007 Radius of convergence (six term test) for eq 1 0.07632445363199282 Order of pole (six term test) -12.077777777777778 TOP MAIN SOLVE Loop x[1] 0.16400000000000012 y[1] (analytic) 1.196172248803828 y[1] (numeric) 1.1961722488038282 absolute error 2.220446049250313e-16 relative error 1.8562928971732613e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8359999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8359999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8360000000000296 Order of pole (three term test) 651.0000000000238 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16500000000000012 y[1] (analytic) 1.1976047904191618 y[1] (numeric) 1.1976047904191622 absolute error 4.440892098500626e-16 relative error 3.708144902248022e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8349999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8349999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8349999999999876 Order of pole (three term test) 650.9999999999907 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16600000000000012 y[1] (analytic) 1.1990407673860914 y[1] (numeric) 1.1990407673860917 absolute error 2.220446049250313e-16 relative error 1.8518520050747606e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8339999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8339999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8340000000000004 Order of pole (three term test) 651.0000000000008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16700000000000012 y[1] (analytic) 1.2004801920768309 y[1] (numeric) 1.2004801920768313 absolute error 4.440892098500626e-16 relative error 3.699263118051021e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8329999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8329999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8330000000000146 Order of pole (three term test) 651.000000000012 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16800000000000012 y[1] (analytic) 1.201923076923077 y[1] (numeric) 1.2019230769230775 absolute error 4.440892098500626e-16 relative error 3.6948222259525205e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8319999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8319999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8320000000000077 Order of pole (three term test) 651.0000000000063 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16900000000000012 y[1] (analytic) 1.2033694344163661 y[1] (numeric) 1.2033694344163663 absolute error 2.220446049250313e-16 relative error 1.8451906669270097e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8309999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8309999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8309999999999802 Order of pole (three term test) 650.9999999999844 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000012 y[1] (analytic) 1.204819277108434 y[1] (numeric) 1.2048192771084343 absolute error 2.220446049250313e-16 relative error 1.8429702208777592e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8299999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8299999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8300000000000031 Order of pole (three term test) 651.0000000000027 Radius of convergence (six term test) for eq 1 0.7353040187568677 Order of pole (six term test) -14.75 TOP MAIN SOLVE Loop x[1] 0.17100000000000012 y[1] (analytic) 1.2062726176115803 y[1] (numeric) 1.2062726176115808 absolute error 4.440892098500626e-16 relative error 3.681499549657019e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8289999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8289999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8289999999999945 Order of pole (three term test) 650.9999999999958 Radius of convergence (six term test) for eq 1 0.06746192341692543 Order of pole (six term test) -12.340277777777779 TOP MAIN SOLVE Loop x[1] 0.17200000000000013 y[1] (analytic) 1.207729468599034 y[1] (numeric) 1.2077294685990343 absolute error 2.220446049250313e-16 relative error 1.838529328779259e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8279999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8279999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8279999999999821 Order of pole (three term test) 650.9999999999861 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17300000000000013 y[1] (analytic) 1.2091898428053207 y[1] (numeric) 1.209189842805321 absolute error 2.220446049250313e-16 relative error 1.8363088827300083e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8269999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8269999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8270000000000112 Order of pole (three term test) 651.0000000000091 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17400000000000013 y[1] (analytic) 1.2106537530266346 y[1] (numeric) 1.2106537530266348 absolute error 2.220446049250313e-16 relative error 1.8340884366807582e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8259999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8259999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8259999999999914 Order of pole (three term test) 650.9999999999936 Radius of convergence (six term test) for eq 1 0.05457938338703627 Order of pole (six term test) -11.681818181818182 TOP MAIN SOLVE Loop x[1] 0.17500000000000013 y[1] (analytic) 1.2121212121212124 y[1] (numeric) 1.2121212121212126 absolute error 2.220446049250313e-16 relative error 1.831867990631508e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8249999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8249999999999992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8249999999999994 Order of pole (three term test) 650.9999999999998 Radius of convergence (six term test) for eq 1 0.256 Order of pole (six term test) -12.5 TOP MAIN SOLVE Loop x[1] 0.17600000000000013 y[1] (analytic) 1.2135922330097089 y[1] (numeric) 1.2135922330097093 absolute error 4.440892098500626e-16 relative error 3.6592950891645156e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8239999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8239999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8239999999999769 Order of pole (three term test) 650.9999999999815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17700000000000013 y[1] (analytic) 1.2150668286755775 y[1] (numeric) 1.2150668286755777 absolute error 2.220446049250313e-16 relative error 1.8274270985330073e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8229999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8229999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8230000000000119 Order of pole (three term test) 651.00000000001 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17800000000000013 y[1] (analytic) 1.2165450121654504 y[1] (numeric) 1.2165450121654506 absolute error 2.220446049250313e-16 relative error 1.8252066524837568e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8219999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8219999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.822000000000015 Order of pole (three term test) 651.0000000000125 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17900000000000013 y[1] (analytic) 1.2180267965895253 y[1] (numeric) 1.2180267965895255 absolute error 2.220446049250313e-16 relative error 1.8229862064345066e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8209999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8209999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.820999999999989 Order of pole (three term test) 650.9999999999915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000013 y[1] (analytic) 1.2195121951219514 y[1] (numeric) 1.2195121951219519 absolute error 4.440892098500626e-16 relative error 3.641531520770513e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8199999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.819999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8200000000000086 Order of pole (three term test) 651.0000000000074 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18100000000000013 y[1] (analytic) 1.2210012210012213 y[1] (numeric) 1.2210012210012215 absolute error 2.220446049250313e-16 relative error 1.818545314336006e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8189999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8189999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8190000000000123 Order of pole (three term test) 651.0000000000102 Radius of convergence (six term test) for eq 1 0.10024396906215023 Order of pole (six term test) -12.026666666666667 TOP MAIN SOLVE Loop x[1] 0.18200000000000013 y[1] (analytic) 1.2224938875305627 y[1] (numeric) 1.2224938875305629 absolute error 2.220446049250313e-16 relative error 1.8163248682867557e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8179999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8179999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8179999999999963 Order of pole (three term test) 650.9999999999974 Radius of convergence (six term test) for eq 1 0.11085125168440814 Order of pole (six term test) -11.666666666666666 TOP MAIN SOLVE Loop x[1] 0.18300000000000013 y[1] (analytic) 1.2239902080783356 y[1] (numeric) 1.2239902080783358 absolute error 2.220446049250313e-16 relative error 1.8141044222375055e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8169999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8169999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8169999999999874 Order of pole (three term test) 650.99999999999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18400000000000014 y[1] (analytic) 1.2254901960784317 y[1] (numeric) 1.225490196078432 absolute error 2.220446049250313e-16 relative error 1.811883976188255e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8159999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8159999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8160000000000122 Order of pole (three term test) 651.0000000000102 Radius of convergence (six term test) for eq 1 0.17855637311050643 Order of pole (six term test) -12.364864864864865 TOP MAIN SOLVE Loop x[1] 0.18500000000000014 y[1] (analytic) 1.226993865030675 y[1] (numeric) 1.2269938650306753 absolute error 2.220446049250313e-16 relative error 1.809663530139005e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8149999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8149999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8150000000000047 Order of pole (three term test) 651.000000000004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18600000000000014 y[1] (analytic) 1.2285012285012287 y[1] (numeric) 1.228501228501229 absolute error 2.220446049250313e-16 relative error 1.8074430840897547e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8139999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8139999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8140000000000208 Order of pole (three term test) 651.000000000017 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18700000000000014 y[1] (analytic) 1.2300123001230014 y[1] (numeric) 1.2300123001230017 absolute error 2.220446049250313e-16 relative error 1.805222638040504e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8129999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8129999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8129999999999973 Order of pole (three term test) 650.9999999999978 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18800000000000014 y[1] (analytic) 1.2315270935960594 y[1] (numeric) 1.2315270935960596 absolute error 2.220446049250313e-16 relative error 1.803002191991254e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8119999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8119999999999991 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8120000000000147 Order of pole (three term test) 651.0000000000124 Radius of convergence (six term test) for eq 1 0.2269197466695471 Order of pole (six term test) -13.071428571428571 TOP MAIN SOLVE Loop x[1] 0.18900000000000014 y[1] (analytic) 1.2330456226880397 y[1] (numeric) 1.23304562268804 absolute error 2.220446049250313e-16 relative error 1.8007817459420035e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8109999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8109999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8110000000000257 Order of pole (three term test) 651.0000000000214 Radius of convergence (six term test) for eq 1 0.020902312471749788 Order of pole (six term test) -12.193333333333333 TOP MAIN SOLVE Loop x[1] 0.19000000000000014 y[1] (analytic) 1.234567901234568 y[1] (numeric) 1.2345679012345685 absolute error 4.440892098500626e-16 relative error 3.5971225997855066e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8099999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8099999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8100000000000247 Order of pole (three term test) 651.0000000000205 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19100000000000014 y[1] (analytic) 1.236093943139679 y[1] (numeric) 1.2360939431396791 absolute error 2.220446049250313e-16 relative error 1.7963408538435028e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8089999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8089999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8089999999999958 Order of pole (three term test) 650.9999999999969 Radius of convergence (six term test) for eq 1 0.07549028155130734 Order of pole (six term test) -12.021739130434783 TOP MAIN SOLVE Loop x[1] 0.19200000000000014 y[1] (analytic) 1.2376237623762378 y[1] (numeric) 1.237623762376238 absolute error 2.220446049250313e-16 relative error 1.7941204077942526e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8079999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8079999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8080000000000174 Order of pole (three term test) 651.0000000000146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19300000000000014 y[1] (analytic) 1.2391573729863696 y[1] (numeric) 1.2391573729863696 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8069999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8069999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.807000000000032 Order of pole (three term test) 651.0000000000264 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19400000000000014 y[1] (analytic) 1.240694789081886 y[1] (numeric) 1.2406947890818862 absolute error 2.220446049250313e-16 relative error 1.7896795156957522e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8059999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8059999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.805999999999988 Order of pole (three term test) 650.9999999999902 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19500000000000015 y[1] (analytic) 1.2422360248447208 y[1] (numeric) 1.2422360248447208 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8049999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8049999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.805000000000011 Order of pole (three term test) 651.0000000000094 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19600000000000015 y[1] (analytic) 1.2437810945273635 y[1] (numeric) 1.2437810945273635 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8039999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8039999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8039999999999677 Order of pole (three term test) 650.9999999999737 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19700000000000015 y[1] (analytic) 1.2453300124533004 y[1] (numeric) 1.2453300124533004 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8029999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8029999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8030000000000103 Order of pole (three term test) 651.0000000000088 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19800000000000015 y[1] (analytic) 1.2468827930174566 y[1] (numeric) 1.2468827930174566 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8019999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8019999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8019999999999741 Order of pole (three term test) 650.9999999999787 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19900000000000015 y[1] (analytic) 1.248439450686642 y[1] (numeric) 1.248439450686642 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.8009999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.8009999999999993 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.800999999999998 Order of pole (three term test) 650.9999999999986 Radius of convergence (six term test) for eq 1 0.16190861620062102 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.20000000000000015 y[1] (analytic) 1.2500000000000002 y[1] (numeric) 1.2500000000000004 absolute error 2.220446049250313e-16 relative error 1.77635683940025e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7999999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7999999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.800000000000017 Order of pole (three term test) 651.0000000000148 Radius of convergence (six term test) for eq 1 0.1910835269867978 Order of pole (six term test) -12.514285714285714 TOP MAIN SOLVE Loop x[1] 0.20100000000000015 y[1] (analytic) 1.251564455569462 y[1] (numeric) 1.2515644555694623 absolute error 2.220446049250313e-16 relative error 1.774136393351e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7989999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7989999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7990000000000184 Order of pole (three term test) 651.0000000000156 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20200000000000015 y[1] (analytic) 1.2531328320802009 y[1] (numeric) 1.2531328320802009 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7979999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7979999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7979999999999913 Order of pole (three term test) 650.9999999999931 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20300000000000015 y[1] (analytic) 1.254705144291092 y[1] (numeric) 1.254705144291092 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7969999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7969999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7969999999999715 Order of pole (three term test) 650.9999999999764 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20400000000000015 y[1] (analytic) 1.2562814070351762 y[1] (numeric) 1.2562814070351762 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7959999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7959999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7960000000000054 Order of pole (three term test) 651.0000000000044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20500000000000015 y[1] (analytic) 1.2578616352201262 y[1] (numeric) 1.2578616352201262 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7949999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7949999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7950000000000221 Order of pole (three term test) 651.0000000000186 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20600000000000016 y[1] (analytic) 1.2594458438287157 y[1] (numeric) 1.2594458438287157 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7939999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7939999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7940000000000058 Order of pole (three term test) 651.0000000000051 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20700000000000016 y[1] (analytic) 1.261034047919294 y[1] (numeric) 1.261034047919294 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7929999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7929999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7929999999999952 Order of pole (three term test) 650.9999999999962 Radius of convergence (six term test) for eq 1 0.2862167011199731 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.20800000000000016 y[1] (analytic) 1.262626262626263 y[1] (numeric) 1.262626262626263 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7919999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7919999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7920000000000254 Order of pole (three term test) 651.0000000000215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20900000000000016 y[1] (analytic) 1.2642225031605565 y[1] (numeric) 1.2642225031605565 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7909999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7909999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7909999999999907 Order of pole (three term test) 650.9999999999925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000016 y[1] (analytic) 1.2658227848101269 y[1] (numeric) 1.2658227848101269 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7899999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7899999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7900000000000175 Order of pole (three term test) 651.000000000015 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21100000000000016 y[1] (analytic) 1.2674271229404312 y[1] (numeric) 1.2674271229404312 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7889999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7889999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7890000000000178 Order of pole (three term test) 651.0000000000152 Radius of convergence (six term test) for eq 1 0.31003139625958315 Order of pole (six term test) -14.799999999999999 TOP MAIN SOLVE Loop x[1] 0.21200000000000016 y[1] (analytic) 1.269035532994924 y[1] (numeric) 1.269035532994924 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7879999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7879999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7879999999999762 Order of pole (three term test) 650.9999999999801 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21300000000000016 y[1] (analytic) 1.270648030495553 y[1] (numeric) 1.270648030495553 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7869999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7869999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7869999999999718 Order of pole (three term test) 650.9999999999764 Radius of convergence (six term test) for eq 1 0.8054851953946764 Order of pole (six term test) -27.700000000000003 TOP MAIN SOLVE Loop x[1] 0.21400000000000016 y[1] (analytic) 1.2722646310432573 y[1] (numeric) 1.2722646310432573 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7859999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7859999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7859999999999758 Order of pole (three term test) 650.9999999999799 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21500000000000016 y[1] (analytic) 1.2738853503184717 y[1] (numeric) 1.2738853503184715 absolute error 2.220446049250313e-16 relative error 1.743050148661495e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7849999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7849999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7850000000000001 Order of pole (three term test) 651.0000000000002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21600000000000016 y[1] (analytic) 1.275510204081633 y[1] (numeric) 1.2755102040816328 absolute error 2.220446049250313e-16 relative error 1.740829702612245e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7839999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7839999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7839999999999906 Order of pole (three term test) 650.9999999999919 Radius of convergence (six term test) for eq 1 0.16524728943818312 Order of pole (six term test) -12.583333333333334 TOP MAIN SOLVE Loop x[1] 0.21700000000000016 y[1] (analytic) 1.2771392081736912 y[1] (numeric) 1.2771392081736912 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7829999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7829999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7829999999999877 Order of pole (three term test) 650.9999999999899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21800000000000017 y[1] (analytic) 1.2787723785166243 y[1] (numeric) 1.2787723785166243 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7819999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7819999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7820000000000036 Order of pole (three term test) 651.0000000000031 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21900000000000017 y[1] (analytic) 1.2804097311139568 y[1] (numeric) 1.2804097311139566 absolute error 2.220446049250313e-16 relative error 1.734168364464494e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7809999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7809999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7809999999999699 Order of pole (three term test) 650.9999999999745 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000017 y[1] (analytic) 1.2820512820512824 y[1] (numeric) 1.2820512820512822 absolute error 2.220446049250313e-16 relative error 1.731947918415244e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7799999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7799999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7800000000000112 Order of pole (three term test) 651.0000000000098 Radius of convergence (six term test) for eq 1 0.44340500673763256 Order of pole (six term test) -16.333333333333332 TOP MAIN SOLVE Loop x[1] 0.22100000000000017 y[1] (analytic) 1.283697047496791 y[1] (numeric) 1.2836970474967908 absolute error 2.220446049250313e-16 relative error 1.7297274723659934e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7789999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7789999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7789999999999911 Order of pole (three term test) 650.9999999999926 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22200000000000017 y[1] (analytic) 1.2853470437017998 y[1] (numeric) 1.2853470437017995 absolute error 2.220446049250313e-16 relative error 1.7275070263167432e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7779999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7779999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7780000000000133 Order of pole (three term test) 651.0000000000114 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22300000000000017 y[1] (analytic) 1.2870012870012872 y[1] (numeric) 1.287001287001287 absolute error 2.220446049250313e-16 relative error 1.725286580267493e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7769999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7769999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7770000000000211 Order of pole (three term test) 651.0000000000177 Radius of convergence (six term test) for eq 1 0.07807926801029359 Order of pole (six term test) -11.267441860465116 TOP MAIN SOLVE Loop x[1] 0.22400000000000017 y[1] (analytic) 1.2886597938144333 y[1] (numeric) 1.288659793814433 absolute error 2.220446049250313e-16 relative error 1.7230661342182425e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7759999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7759999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7760000000000111 Order of pole (three term test) 651.0000000000097 Radius of convergence (six term test) for eq 1 0.1810193359837562 Order of pole (six term test) -13.125 TOP MAIN SOLVE Loop x[1] 0.22500000000000017 y[1] (analytic) 1.2903225806451617 y[1] (numeric) 1.2903225806451615 absolute error 2.220446049250313e-16 relative error 1.720845688168992e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7749999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7749999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7750000000000089 Order of pole (three term test) 651.0000000000076 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22600000000000017 y[1] (analytic) 1.2919896640826878 y[1] (numeric) 1.2919896640826876 absolute error 2.220446049250313e-16 relative error 1.7186252421197418e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7739999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7739999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7739999999999931 Order of pole (three term test) 650.999999999994 Radius of convergence (six term test) for eq 1 0.3620386719675124 Order of pole (six term test) -15.0 TOP MAIN SOLVE Loop x[1] 0.22700000000000017 y[1] (analytic) 1.2936610608020702 y[1] (numeric) 1.29366106080207 absolute error 2.220446049250313e-16 relative error 1.7164047960704916e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7729999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7729999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.772999999999998 Order of pole (three term test) 650.9999999999984 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22800000000000017 y[1] (analytic) 1.2953367875647672 y[1] (numeric) 1.295336787564767 absolute error 2.220446049250313e-16 relative error 1.714184350021241e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7719999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7719999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7719999999999684 Order of pole (three term test) 650.9999999999729 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22900000000000018 y[1] (analytic) 1.2970168612191961 y[1] (numeric) 1.297016861219196 absolute error 2.220446049250313e-16 relative error 1.711963903971991e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7709999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7709999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7710000000000028 Order of pole (three term test) 651.0000000000023 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23000000000000018 y[1] (analytic) 1.2987012987012991 y[1] (numeric) 1.2987012987012987 absolute error 4.440892098500626e-16 relative error 3.419486915845481e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7699999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7699999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7700000000000121 Order of pole (three term test) 651.0000000000103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23100000000000018 y[1] (analytic) 1.3003901170351109 y[1] (numeric) 1.3003901170351104 absolute error 4.440892098500626e-16 relative error 3.4150460237469805e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7689999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.769 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7690000000000172 Order of pole (three term test) 651.0000000000149 Radius of convergence (six term test) for eq 1 0.19081113407998207 Order of pole (six term test) -13.444444444444445 TOP MAIN SOLVE Loop x[1] 0.23200000000000018 y[1] (analytic) 1.3020833333333337 y[1] (numeric) 1.3020833333333333 absolute error 4.440892098500626e-16 relative error 3.41060513164848e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7679999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7679999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7679999999999864 Order of pole (three term test) 650.9999999999881 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23300000000000018 y[1] (analytic) 1.3037809647979144 y[1] (numeric) 1.303780964797914 absolute error 4.440892098500626e-16 relative error 3.406164239549979e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7669999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7669999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.767000000000009 Order of pole (three term test) 651.0000000000078 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23400000000000018 y[1] (analytic) 1.305483028720627 y[1] (numeric) 1.3054830287206267 absolute error 2.220446049250313e-16 relative error 1.7008616737257394e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7659999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7659999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7659999999999962 Order of pole (three term test) 650.9999999999969 Radius of convergence (six term test) for eq 1 0.0739008344562721 Order of pole (six term test) -11.666666666666666 TOP MAIN SOLVE Loop x[1] 0.23500000000000018 y[1] (analytic) 1.3071895424836606 y[1] (numeric) 1.3071895424836601 absolute error 4.440892098500626e-16 relative error 3.397282455352978e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7649999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7649999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7650000000000028 Order of pole (three term test) 651.0000000000025 Radius of convergence (six term test) for eq 1 0.19890039178859992 Order of pole (six term test) -12.439024390243903 TOP MAIN SOLVE Loop x[1] 0.23600000000000018 y[1] (analytic) 1.3089005235602098 y[1] (numeric) 1.3089005235602094 absolute error 4.440892098500626e-16 relative error 3.3928415632544774e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7639999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7639999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7639999999999789 Order of pole (three term test) 650.9999999999816 Radius of convergence (six term test) for eq 1 0.22170250336881628 Order of pole (six term test) -14.0 TOP MAIN SOLVE Loop x[1] 0.23700000000000018 y[1] (analytic) 1.3106159895150724 y[1] (numeric) 1.310615989515072 absolute error 4.440892098500626e-16 relative error 3.388400671155977e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7629999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7629999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7629999999999982 Order of pole (three term test) 650.9999999999989 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23800000000000018 y[1] (analytic) 1.3123359580052496 y[1] (numeric) 1.3123359580052492 absolute error 4.440892098500626e-16 relative error 3.3839597790574766e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7619999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7619999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.761999999999996 Order of pole (three term test) 650.9999999999965 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23900000000000018 y[1] (analytic) 1.3140604467805523 y[1] (numeric) 1.3140604467805517 absolute error 6.661338147750939e-16 relative error 5.069278330438463e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7609999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7609999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7609999999999978 Order of pole (three term test) 650.9999999999977 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24000000000000019 y[1] (analytic) 1.3157894736842108 y[1] (numeric) 1.3157894736842104 absolute error 4.440892098500626e-16 relative error 3.375077994860475e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7599999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7599999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7599999999999736 Order of pole (three term test) 650.9999999999767 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2410000000000002 y[1] (analytic) 1.317523056653492 y[1] (numeric) 1.3175230566534912 absolute error 6.661338147750939e-16 relative error 5.0559556541429614e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7589999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7589999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7589999999999858 Order of pole (three term test) 650.9999999999875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2420000000000002 y[1] (analytic) 1.319261213720317 y[1] (numeric) 1.3192612137203164 absolute error 6.661338147750939e-16 relative error 5.04929431599521e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7579999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.758 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7579999999999933 Order of pole (three term test) 650.9999999999939 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2430000000000002 y[1] (analytic) 1.3210039630118895 y[1] (numeric) 1.3210039630118888 absolute error 6.661338147750939e-16 relative error 5.042632977847459e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7569999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7569999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7569999999999935 Order of pole (three term test) 650.9999999999944 Radius of convergence (six term test) for eq 1 0.11850497277088659 Order of pole (six term test) -12.142857142857142 TOP MAIN SOLVE Loop x[1] 0.2440000000000002 y[1] (analytic) 1.3227513227513232 y[1] (numeric) 1.3227513227513226 absolute error 6.661338147750939e-16 relative error 5.0359716396997084e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7559999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7559999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7560000000000239 Order of pole (three term test) 651.000000000021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2450000000000002 y[1] (analytic) 1.3245033112582785 y[1] (numeric) 1.324503311258278 absolute error 4.440892098500626e-16 relative error 3.352873534367972e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7549999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7549999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7550000000000262 Order of pole (three term test) 651.0000000000231 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2460000000000002 y[1] (analytic) 1.3262599469496026 y[1] (numeric) 1.326259946949602 absolute error 6.661338147750939e-16 relative error 5.0226489634042067e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7539999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.754 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7539999999999825 Order of pole (three term test) 650.9999999999844 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2470000000000002 y[1] (analytic) 1.3280212483399738 y[1] (numeric) 1.3280212483399731 absolute error 6.661338147750939e-16 relative error 5.015987625256456e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7529999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7529999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7530000000000164 Order of pole (three term test) 651.0000000000146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2480000000000002 y[1] (analytic) 1.3297872340425536 y[1] (numeric) 1.329787234042553 absolute error 6.661338147750939e-16 relative error 5.009326287108705e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7519999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7519999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7519999999999989 Order of pole (three term test) 650.9999999999991 Radius of convergence (six term test) for eq 1 0.14021697472132252 Order of pole (six term test) -12.4 TOP MAIN SOLVE Loop x[1] 0.2490000000000002 y[1] (analytic) 1.3315579227696408 y[1] (numeric) 1.3315579227696401 absolute error 6.661338147750939e-16 relative error 5.0026649489609544e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7509999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.751 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7510000000000067 Order of pole (three term test) 651.0000000000058 Radius of convergence (six term test) for eq 1 0.2183175335481451 Order of pole (six term test) -12.318181818181818 TOP MAIN SOLVE Loop x[1] 0.25000000000000017 y[1] (analytic) 1.3333333333333337 y[1] (numeric) 1.333333333333333 absolute error 6.661338147750939e-16 relative error 4.996003610813203e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7499999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7499999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7499999999999734 Order of pole (three term test) 650.9999999999761 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25100000000000017 y[1] (analytic) 1.3351134846461952 y[1] (numeric) 1.3351134846461947 absolute error 4.440892098500626e-16 relative error 3.3262281817769686e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7489999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7489999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7490000000000067 Order of pole (three term test) 651.0000000000059 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25200000000000017 y[1] (analytic) 1.3368983957219256 y[1] (numeric) 1.336898395721925 absolute error 6.661338147750939e-16 relative error 4.982680934517701e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7479999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7479999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7479999999999776 Order of pole (three term test) 650.9999999999801 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25300000000000017 y[1] (analytic) 1.3386880856760377 y[1] (numeric) 1.3386880856760373 absolute error 4.440892098500626e-16 relative error 3.317346397579967e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7469999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7469999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.746999999999983 Order of pole (three term test) 650.9999999999848 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25400000000000017 y[1] (analytic) 1.340482573726542 y[1] (numeric) 1.3404825737265413 absolute error 6.661338147750939e-16 relative error 4.969358258222199e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7459999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7459999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7459999999999802 Order of pole (three term test) 650.9999999999825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25500000000000017 y[1] (analytic) 1.3422818791946312 y[1] (numeric) 1.3422818791946307 absolute error 4.440892098500626e-16 relative error 3.308464613382966e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7449999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7449999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.745000000000025 Order of pole (three term test) 651.0000000000222 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] 0.25600000000000017 y[1] (analytic) 1.3440860215053767 y[1] (numeric) 1.3440860215053763 absolute error 4.440892098500626e-16 relative error 3.304023721284465e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7439999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7439999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7440000000000122 Order of pole (three term test) 651.0000000000107 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2570000000000002 y[1] (analytic) 1.3458950201884254 y[1] (numeric) 1.3458950201884252 absolute error 2.220446049250313e-16 relative error 1.6497914145929826e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7429999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.743 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7429999999999876 Order of pole (three term test) 650.9999999999891 Radius of convergence (six term test) for eq 1 0.19829674732581976 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.2580000000000002 y[1] (analytic) 1.3477088948787066 y[1] (numeric) 1.3477088948787062 absolute error 4.440892098500626e-16 relative error 3.2951419370874635e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7419999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7419999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7419999999999909 Order of pole (three term test) 650.9999999999918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2590000000000002 y[1] (analytic) 1.3495276653171393 y[1] (numeric) 1.3495276653171389 absolute error 4.440892098500626e-16 relative error 3.290701044988963e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7409999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7409999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7409999999999854 Order of pole (three term test) 650.999999999987 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000002 y[1] (analytic) 1.3513513513513518 y[1] (numeric) 1.3513513513513513 absolute error 4.440892098500626e-16 relative error 3.286260152890462e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7399999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7399999999999994 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7399999999999923 Order of pole (three term test) 650.9999999999931 Radius of convergence (six term test) for eq 1 0.06473990897393576 Order of pole (six term test) -12.395348837209303 TOP MAIN SOLVE Loop x[1] 0.2610000000000002 y[1] (analytic) 1.3531799729364007 y[1] (numeric) 1.3531799729364005 absolute error 2.220446049250313e-16 relative error 1.6409096303959812e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7389999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7389999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7389999999999846 Order of pole (three term test) 650.9999999999859 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2620000000000002 y[1] (analytic) 1.3550135501355018 y[1] (numeric) 1.3550135501355012 absolute error 6.661338147750939e-16 relative error 4.9160675530401914e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7379999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7379999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7380000000000111 Order of pole (three term test) 651.0000000000099 Radius of convergence (six term test) for eq 1 0.2336949578688709 Order of pole (six term test) -13.166666666666666 TOP MAIN SOLVE Loop x[1] 0.2630000000000002 y[1] (analytic) 1.35685210312076 y[1] (numeric) 1.3568521031207597 absolute error 4.440892098500626e-16 relative error 3.272937476594961e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7369999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.737 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7369999999999921 Order of pole (three term test) 650.9999999999931 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2640000000000002 y[1] (analytic) 1.3586956521739135 y[1] (numeric) 1.3586956521739129 absolute error 6.661338147750939e-16 relative error 4.9027448767446896e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7359999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7359999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7360000000000043 Order of pole (three term test) 651.000000000004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2650000000000002 y[1] (analytic) 1.360544217687075 y[1] (numeric) 1.3605442176870746 absolute error 4.440892098500626e-16 relative error 3.2640556923979596e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7349999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7349999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7349999999999924 Order of pole (three term test) 650.9999999999931 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2660000000000002 y[1] (analytic) 1.362397820163488 y[1] (numeric) 1.3623978201634874 absolute error 6.661338147750939e-16 relative error 4.889422200449188e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7339999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7339999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7340000000000116 Order of pole (three term test) 651.0000000000102 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2670000000000002 y[1] (analytic) 1.3642564802182813 y[1] (numeric) 1.3642564802182808 absolute error 4.440892098500626e-16 relative error 3.255173908200958e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7329999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7329999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7330000000000064 Order of pole (three term test) 651.000000000006 Radius of convergence (six term test) for eq 1 0.11843390531455743 Order of pole (six term test) -12.226618705035971 TOP MAIN SOLVE Loop x[1] 0.2680000000000002 y[1] (analytic) 1.3661202185792354 y[1] (numeric) 1.3661202185792347 absolute error 6.661338147750939e-16 relative error 4.876099524153686e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7319999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7319999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7319999999999918 Order of pole (three term test) 650.9999999999925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2690000000000002 y[1] (analytic) 1.3679890560875516 y[1] (numeric) 1.367989056087551 absolute error 6.661338147750939e-16 relative error 4.8694381860059356e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7309999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7309999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7309999999999963 Order of pole (three term test) 650.9999999999966 Radius of convergence (six term test) for eq 1 0.1640251585324 Order of pole (six term test) -12.25263157894737 TOP MAIN SOLVE Loop x[1] 0.2700000000000002 y[1] (analytic) 1.3698630136986305 y[1] (numeric) 1.3698630136986298 absolute error 6.661338147750939e-16 relative error 4.8627768478581844e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7299999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7299999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7300000000000068 Order of pole (three term test) 651.0000000000061 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2710000000000002 y[1] (analytic) 1.3717421124828535 y[1] (numeric) 1.3717421124828528 absolute error 6.661338147750939e-16 relative error 4.856115509710434e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7289999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.729 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.729000000000012 Order of pole (three term test) 651.0000000000107 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2720000000000002 y[1] (analytic) 1.373626373626374 y[1] (numeric) 1.3736263736263732 absolute error 8.881784197001252e-16 relative error 6.46593889541691e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7279999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.728 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7279999999999989 Order of pole (three term test) 650.9999999999987 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2730000000000002 y[1] (analytic) 1.3755158184319123 y[1] (numeric) 1.3755158184319116 absolute error 6.661338147750939e-16 relative error 4.8427928334149314e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7269999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.727 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7270000000000286 Order of pole (three term test) 651.0000000000261 Radius of convergence (six term test) for eq 1 0.46372405587806204 Order of pole (six term test) -19.9375 TOP MAIN SOLVE Loop x[1] 0.2740000000000002 y[1] (analytic) 1.3774104683195596 y[1] (numeric) 1.377410468319559 absolute error 6.661338147750939e-16 relative error 4.836131495267181e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7259999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.726 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.725999999999989 Order of pole (three term test) 650.99999999999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2750000000000002 y[1] (analytic) 1.3793103448275865 y[1] (numeric) 1.3793103448275859 absolute error 6.661338147750939e-16 relative error 4.82947015711943e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7249999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7249999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7249999999999971 Order of pole (three term test) 650.9999999999973 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2760000000000002 y[1] (analytic) 1.3812154696132601 y[1] (numeric) 1.3812154696132593 absolute error 8.881784197001252e-16 relative error 6.430411758628905e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7239999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7239999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.723999999999991 Order of pole (three term test) 650.9999999999914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2770000000000002 y[1] (analytic) 1.3831258644536655 y[1] (numeric) 1.3831258644536648 absolute error 6.661338147750939e-16 relative error 4.8161474808239286e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7229999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7230000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7230000000000025 Order of pole (three term test) 651.0000000000022 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2780000000000002 y[1] (analytic) 1.385041551246538 y[1] (numeric) 1.3850415512465368 absolute error 1.1102230246251565e-15 relative error 8.015810237793628e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7219999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7219999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7219999999999889 Order of pole (three term test) 650.9999999999894 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2790000000000002 y[1] (analytic) 1.386962552011096 y[1] (numeric) 1.386962552011095 absolute error 8.881784197001252e-16 relative error 6.403766406037901e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7209999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7210000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7209999999999787 Order of pole (three term test) 650.9999999999802 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2800000000000002 y[1] (analytic) 1.3888888888888893 y[1] (numeric) 1.3888888888888882 absolute error 1.1102230246251565e-15 relative error 7.993605777301125e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7199999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7200000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7199999999999845 Order of pole (three term test) 650.9999999999856 Radius of convergence (six term test) for eq 1 0.3620386719675124 Order of pole (six term test) -17.5 TOP MAIN SOLVE Loop x[1] 0.2810000000000002 y[1] (analytic) 1.3908205841446457 y[1] (numeric) 1.3908205841446446 absolute error 1.1102230246251565e-15 relative error 7.982503547054873e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7189999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7190000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7190000000000011 Order of pole (three term test) 651.0000000000008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2820000000000002 y[1] (analytic) 1.3927576601671314 y[1] (numeric) 1.39275766016713 absolute error 1.3322676295501878e-15 relative error 9.565681580170345e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7179999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7180000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7180000000000001 Order of pole (three term test) 650.9999999999998 Radius of convergence (six term test) for eq 1 0.17066666666666666 Order of pole (six term test) -12.055555555555555 TOP MAIN SOLVE Loop x[1] 0.2830000000000002 y[1] (analytic) 1.3947001394700143 y[1] (numeric) 1.3947001394700131 absolute error 1.1102230246251565e-15 relative error 7.960299086562371e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7169999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7170000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7169999999999982 Order of pole (three term test) 650.999999999998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2840000000000002 y[1] (analytic) 1.3966480446927378 y[1] (numeric) 1.3966480446927367 absolute error 1.1102230246251565e-15 relative error 7.949196856316118e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7159999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7160000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7159999999999936 Order of pole (three term test) 650.9999999999937 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2850000000000002 y[1] (analytic) 1.398601398601399 y[1] (numeric) 1.3986013986013979 absolute error 1.1102230246251565e-15 relative error 7.938094626069867e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7149999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7150000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7149999999999916 Order of pole (three term test) 650.9999999999917 Radius of convergence (six term test) for eq 1 0.256 Order of pole (six term test) -13.5 TOP MAIN SOLVE Loop x[1] 0.2860000000000002 y[1] (analytic) 1.4005602240896364 y[1] (numeric) 1.400560224089635 absolute error 1.3322676295501878e-15 relative error 9.512390874988337e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7139999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.714 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7139999999999884 Order of pole (three term test) 650.999999999989 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2870000000000002 y[1] (analytic) 1.4025245441795233 y[1] (numeric) 1.4025245441795224 absolute error 8.881784197001252e-16 relative error 6.332712132461893e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7129999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7130000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7130000000000071 Order of pole (three term test) 651.0000000000064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2880000000000002 y[1] (analytic) 1.4044943820224725 y[1] (numeric) 1.4044943820224711 absolute error 1.3322676295501878e-15 relative error 9.485745522397333e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7119999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7120000000000004 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7119999999999912 Order of pole (three term test) 650.9999999999912 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2890000000000002 y[1] (analytic) 1.4064697609001409 y[1] (numeric) 1.4064697609001398 absolute error 1.1102230246251565e-15 relative error 7.893685705084862e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7109999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7110000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7110000000000029 Order of pole (three term test) 651.000000000002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2900000000000002 y[1] (analytic) 1.4084507042253527 y[1] (numeric) 1.4084507042253511 absolute error 1.5543122344752192e-15 relative error 1.1035616864774051e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7099999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7100000000000004 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.710000000000001 Order of pole (three term test) 651.0000000000006 Radius of convergence (six term test) for eq 1 0.33049457887636624 Order of pole (six term test) -13.333333333333334 TOP MAIN SOLVE Loop x[1] 0.2910000000000002 y[1] (analytic) 1.4104372355430186 y[1] (numeric) 1.4104372355430173 absolute error 1.3322676295501878e-15 relative error 9.44577749351083e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7089999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7090000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7089999999999942 Order of pole (three term test) 650.9999999999942 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2920000000000002 y[1] (analytic) 1.412429378531074 y[1] (numeric) 1.4124293785310724 absolute error 1.5543122344752192e-15 relative error 1.1004530620084547e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7079999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7080000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7079999999999856 Order of pole (three term test) 650.9999999999861 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2930000000000002 y[1] (analytic) 1.4144271570014146 y[1] (numeric) 1.4144271570014133 absolute error 1.3322676295501878e-15 relative error 9.419132140919827e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.7069999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7070000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.706999999999986 Order of pole (three term test) 650.9999999999865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2940000000000002 y[1] (analytic) 1.4164305949008504 y[1] (numeric) 1.4164305949008487 absolute error 1.7763568394002505e-15 relative error 1.2541079286165762e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7059999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7060000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7060000000000222 Order of pole (three term test) 651.0000000000205 Radius of convergence (six term test) for eq 1 0.12261618739695304 Order of pole (six term test) -12.494117647058824 TOP MAIN SOLVE Loop x[1] 0.2950000000000002 y[1] (analytic) 1.418439716312057 y[1] (numeric) 1.4184397163120555 absolute error 1.5543122344752192e-15 relative error 1.0957901253050293e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7049999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7050000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7050000000000024 Order of pole (three term test) 651.0000000000019 Radius of convergence (six term test) for eq 1 0.44340500673763256 Order of pole (six term test) -14.5 TOP MAIN SOLVE Loop x[1] 0.2960000000000002 y[1] (analytic) 1.420454545454546 y[1] (numeric) 1.420454545454544 absolute error 1.9984014443252818e-15 relative error 1.4068746168049977e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7039999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7040000000000006 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7039999999999937 Order of pole (three term test) 650.9999999999933 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2970000000000002 y[1] (analytic) 1.4224751066856334 y[1] (numeric) 1.4224751066856316 absolute error 1.7763568394002505e-15 relative error 1.2487788580983758e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7029999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7030000000000006 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7030000000000143 Order of pole (three term test) 651.0000000000128 Radius of convergence (six term test) for eq 1 0.31353468707624677 Order of pole (six term test) -14.142857142857142 TOP MAIN SOLVE Loop x[1] 0.2980000000000002 y[1] (analytic) 1.4245014245014251 y[1] (numeric) 1.4245014245014231 absolute error 1.9984014443252818e-15 relative error 1.4028778139163472e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7019999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7020000000000004 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7019999999999877 Order of pole (three term test) 650.999999999988 Radius of convergence (six term test) for eq 1 0.15676734353812338 Order of pole (six term test) -12.0625 TOP MAIN SOLVE Loop x[1] 0.2990000000000002 y[1] (analytic) 1.4265335235378034 y[1] (numeric) 1.4265335235378018 absolute error 1.5543122344752192e-15 relative error 1.0895728763671285e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.7009999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7010000000000004 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.70100000000002 Order of pole (three term test) 651.0000000000186 Radius of convergence (six term test) for eq 1 0.20393664174481702 Order of pole (six term test) -12.807692307692307 TOP MAIN SOLVE Loop x[1] 0.3000000000000002 y[1] (analytic) 1.428571428571429 y[1] (numeric) 1.4285714285714273 absolute error 1.7763568394002505e-15 relative error 1.2434497875801748e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6999999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.7000000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6999999999999984 Order of pole (three term test) 650.999999999998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3010000000000002 y[1] (analytic) 1.4306151645207443 y[1] (numeric) 1.4306151645207426 absolute error 1.7763568394002505e-15 relative error 1.2416734307407747e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6989999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6990000000000005 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6989999999999915 Order of pole (three term test) 650.9999999999916 Radius of convergence (six term test) for eq 1 0.08939907785850601 Order of pole (six term test) -12.024390243902438 TOP MAIN SOLVE Loop x[1] 0.3020000000000002 y[1] (analytic) 1.4326647564469919 y[1] (numeric) 1.43266475644699 absolute error 1.7763568394002505e-15 relative error 1.2398970739013745e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6979999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6980000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6980000000000048 Order of pole (three term test) 651.0000000000038 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3030000000000002 y[1] (analytic) 1.434720229555237 y[1] (numeric) 1.4347202295552355 absolute error 1.5543122344752192e-15 relative error 1.0833556274292276e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6969999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6970000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6969999999999833 Order of pole (three term test) 650.9999999999835 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3040000000000002 y[1] (analytic) 1.4367816091954029 y[1] (numeric) 1.436781609195401 absolute error 1.7763568394002505e-15 relative error 1.2363443602225737e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6959999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6960000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6960000000000177 Order of pole (three term test) 651.0000000000165 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3050000000000002 y[1] (analytic) 1.4388489208633097 y[1] (numeric) 1.4388489208633082 absolute error 1.5543122344752192e-15 relative error 1.080247002960277e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6949999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6950000000000004 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.694999999999997 Order of pole (three term test) 650.9999999999965 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3060000000000002 y[1] (analytic) 1.4409221902017297 y[1] (numeric) 1.440922190201728 absolute error 1.7763568394002505e-15 relative error 1.2327916465437732e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6939999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6940000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6939999999999779 Order of pole (three term test) 650.9999999999784 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3070000000000002 y[1] (analytic) 1.4430014430014433 y[1] (numeric) 1.443001443001442 absolute error 1.3322676295501878e-15 relative error 9.2326146727828e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6929999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6930000000000004 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6930000000000013 Order of pole (three term test) 651.0000000000008 Radius of convergence (six term test) for eq 1 0.13637468259927885 Order of pole (six term test) -11.972972972972972 TOP MAIN SOLVE Loop x[1] 0.3080000000000002 y[1] (analytic) 1.4450867052023126 y[1] (numeric) 1.445086705202311 absolute error 1.5543122344752192e-15 relative error 1.0755840662568512e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6919999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6920000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6919999999999837 Order of pole (three term test) 650.9999999999839 Radius of convergence (six term test) for eq 1 0.07938223013709342 Order of pole (six term test) -12.679487179487179 TOP MAIN SOLVE Loop x[1] 0.3090000000000002 y[1] (analytic) 1.4471780028943564 y[1] (numeric) 1.447178002894355 absolute error 1.3322676295501878e-15 relative error 9.205969320191796e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6909999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6910000000000004 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6910000000000119 Order of pole (three term test) 651.0000000000108 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3100000000000002 y[1] (analytic) 1.4492753623188412 y[1] (numeric) 1.4492753623188397 absolute error 1.5543122344752192e-15 relative error 1.0724754417879007e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6899999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6900000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6899999999999864 Order of pole (three term test) 650.9999999999865 Radius of convergence (six term test) for eq 1 0.10159050113696577 Order of pole (six term test) -11.637795275590552 TOP MAIN SOLVE Loop x[1] 0.3110000000000002 y[1] (analytic) 1.4513788098693763 y[1] (numeric) 1.451378809869375 absolute error 1.3322676295501878e-15 relative error 9.179323967600793e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6889999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6890000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6890000000000098 Order of pole (three term test) 651.0000000000092 Radius of convergence (six term test) for eq 1 0.16725036002002885 Order of pole (six term test) -12.597560975609756 TOP MAIN SOLVE Loop x[1] 0.3120000000000002 y[1] (analytic) 1.4534883720930238 y[1] (numeric) 1.4534883720930223 absolute error 1.5543122344752192e-15 relative error 1.0693668173189503e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6879999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6880000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6880000000000054 Order of pole (three term test) 651.0000000000048 Radius of convergence (six term test) for eq 1 0.24510133958562255 Order of pole (six term test) -12.6 TOP MAIN SOLVE Loop x[1] 0.3130000000000002 y[1] (analytic) 1.4556040756914124 y[1] (numeric) 1.455604075691411 absolute error 1.3322676295501878e-15 relative error 9.152678615009788e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6869999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6870000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6870000000000137 Order of pole (three term test) 651.000000000013 Radius of convergence (six term test) for eq 1 0.10783021301430169 Order of pole (six term test) -12.741935483870968 TOP MAIN SOLVE Loop x[1] 0.3140000000000002 y[1] (analytic) 1.4577259475218665 y[1] (numeric) 1.457725947521865 absolute error 1.5543122344752192e-15 relative error 1.06625819285e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6859999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6860000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6859999999999997 Order of pole (three term test) 650.9999999999995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3150000000000002 y[1] (analytic) 1.4598540145985406 y[1] (numeric) 1.4598540145985393 absolute error 1.3322676295501878e-15 relative error 9.126033262418784e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6849999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6849999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.68499999999998 Order of pole (three term test) 650.9999999999803 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3160000000000002 y[1] (analytic) 1.461988304093568 y[1] (numeric) 1.4619883040935664 absolute error 1.5543122344752192e-15 relative error 1.0631495683810494e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6839999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.684 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6840000000000065 Order of pole (three term test) 651.0000000000061 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3170000000000002 y[1] (analytic) 1.464128843338214 y[1] (numeric) 1.464128843338213 absolute error 1.1102230246251565e-15 relative error 7.582823258189818e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6829999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6830000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6829999999999999 Order of pole (three term test) 650.9999999999998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3180000000000002 y[1] (analytic) 1.4662756598240476 y[1] (numeric) 1.466275659824046 absolute error 1.5543122344752192e-15 relative error 1.0600409439120989e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6819999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6820000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6820000000000038 Order of pole (three term test) 651.0000000000033 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31900000000000023 y[1] (analytic) 1.468428781204112 y[1] (numeric) 1.4684287812041108 absolute error 1.1102230246251565e-15 relative error 7.560618797697315e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6809999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.681 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6810000000000012 Order of pole (three term test) 651.000000000001 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32000000000000023 y[1] (analytic) 1.4705882352941182 y[1] (numeric) 1.4705882352941169 absolute error 1.3322676295501878e-15 relative error 9.059419880941274e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6799999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6800000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6800000000000056 Order of pole (three term test) 651.0000000000051 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32100000000000023 y[1] (analytic) 1.472754050073638 y[1] (numeric) 1.472754050073637 absolute error 1.1102230246251565e-15 relative error 7.538414337204812e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6789999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6790000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6790000000000024 Order of pole (three term test) 651.000000000002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32200000000000023 y[1] (analytic) 1.4749262536873162 y[1] (numeric) 1.474926253687315 absolute error 1.3322676295501878e-15 relative error 9.03277452835027e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6779999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6780000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6780000000000064 Order of pole (three term test) 651.000000000006 Radius of convergence (six term test) for eq 1 0.0739008344562721 Order of pole (six term test) -13.5 TOP MAIN SOLVE Loop x[1] 0.32300000000000023 y[1] (analytic) 1.477104874446086 y[1] (numeric) 1.4771048744460848 absolute error 1.1102230246251565e-15 relative error 7.516209876712309e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6769999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6770000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6770000000000004 Order of pole (three term test) 651.0000000000002 Radius of convergence (six term test) for eq 1 0.15061719178612534 Order of pole (six term test) -12.076923076923077 TOP MAIN SOLVE Loop x[1] 0.32400000000000023 y[1] (analytic) 1.479289940828403 y[1] (numeric) 1.4792899408284015 absolute error 1.5543122344752192e-15 relative error 1.0507150705052476e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6759999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6760000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6759999999999871 Order of pole (three term test) 650.9999999999869 Radius of convergence (six term test) for eq 1 0.15676734353812338 Order of pole (six term test) -10.875 TOP MAIN SOLVE Loop x[1] 0.32500000000000023 y[1] (analytic) 1.4814814814814818 y[1] (numeric) 1.4814814814814805 absolute error 1.3322676295501878e-15 relative error 8.992806499463765e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6749999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6750000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6750000000000073 Order of pole (three term test) 651.0000000000068 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32600000000000023 y[1] (analytic) 1.4836795252225525 y[1] (numeric) 1.483679525222551 absolute error 1.5543122344752192e-15 relative error 1.0476064460362972e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6739999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6740000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6740000000000177 Order of pole (three term test) 651.000000000017 Radius of convergence (six term test) for eq 1 0.10754151045335116 Order of pole (six term test) -12.117647058823529 TOP MAIN SOLVE Loop x[1] 0.32700000000000023 y[1] (analytic) 1.4858841010401194 y[1] (numeric) 1.4858841010401178 absolute error 1.5543122344752192e-15 relative error 1.0460521338018222e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6729999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6730000000000004 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6730000000000307 Order of pole (three term test) 651.0000000000298 Radius of convergence (six term test) for eq 1 0.21384217921621612 Order of pole (six term test) -13.14179104477612 TOP MAIN SOLVE Loop x[1] 0.32800000000000024 y[1] (analytic) 1.4880952380952388 y[1] (numeric) 1.488095238095237 absolute error 1.7763568394002505e-15 relative error 1.1937117960769679e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6719999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6720000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.672000000000018 Order of pole (three term test) 651.0000000000174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32900000000000024 y[1] (analytic) 1.4903129657228023 y[1] (numeric) 1.4903129657228007 absolute error 1.5543122344752192e-15 relative error 1.0429435093328718e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6709999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6710000000000004 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.670999999999991 Order of pole (three term test) 650.9999999999906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33000000000000024 y[1] (analytic) 1.4925373134328366 y[1] (numeric) 1.4925373134328348 absolute error 1.7763568394002505e-15 relative error 1.1901590823981673e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6699999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6700000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.669999999999993 Order of pole (three term test) 650.9999999999927 Radius of convergence (six term test) for eq 1 0.2956033378250884 Order of pole (six term test) -15.833333333333332 TOP MAIN SOLVE Loop x[1] 0.33100000000000024 y[1] (analytic) 1.494768310911809 y[1] (numeric) 1.4947683109118077 absolute error 1.3322676295501878e-15 relative error 8.912870441690755e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6689999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6690000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.668999999999996 Order of pole (three term test) 650.9999999999958 Radius of convergence (six term test) for eq 1 0.12699606293110036 Order of pole (six term test) -11.921875 TOP MAIN SOLVE Loop x[1] 0.33200000000000024 y[1] (analytic) 1.4970059880239528 y[1] (numeric) 1.4970059880239512 absolute error 1.5543122344752192e-15 relative error 1.038280572629446e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6679999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6680000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6680000000000071 Order of pole (three term test) 651.0000000000066 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33300000000000024 y[1] (analytic) 1.499250374812594 y[1] (numeric) 1.499250374812593 absolute error 1.1102230246251565e-15 relative error 7.405187574249793e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6669999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.667 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6670000000000104 Order of pole (three term test) 651.0000000000099 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33400000000000024 y[1] (analytic) 1.501501501501502 y[1] (numeric) 1.5015015015015007 absolute error 1.3322676295501878e-15 relative error 8.872902412804248e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6659999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6660000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6660000000000181 Order of pole (three term test) 651.0000000000175 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33500000000000024 y[1] (analytic) 1.503759398496241 y[1] (numeric) 1.5037593984962399 absolute error 1.1102230246251565e-15 relative error 7.38298311375729e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6649999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.665 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6649999999999866 Order of pole (three term test) 650.9999999999864 Radius of convergence (six term test) for eq 1 0.09964786485267495 Order of pole (six term test) -11.924242424242424 TOP MAIN SOLVE Loop x[1] 0.33600000000000024 y[1] (analytic) 1.506024096385543 y[1] (numeric) 1.5060240963855414 absolute error 1.5543122344752192e-15 relative error 1.032063323691545e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6639999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6640000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.664000000000004 Order of pole (three term test) 651.0000000000036 Radius of convergence (six term test) for eq 1 0.4789321455070645 Order of pole (six term test) -8.5 TOP MAIN SOLVE Loop x[1] 0.33700000000000024 y[1] (analytic) 1.5082956259426852 y[1] (numeric) 1.5082956259426838 absolute error 1.3322676295501878e-15 relative error 8.832934383917743e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6629999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6630000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6629999999999933 Order of pole (three term test) 650.9999999999927 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33800000000000024 y[1] (analytic) 1.510574018126889 y[1] (numeric) 1.5105740181268874 absolute error 1.5543122344752192e-15 relative error 1.0289546992225945e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6619999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6620000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6620000000000116 Order of pole (three term test) 651.0000000000111 Radius of convergence (six term test) for eq 1 0.09986425569350323 Order of pole (six term test) -11.217391304347826 TOP MAIN SOLVE Loop x[1] 0.33900000000000025 y[1] (analytic) 1.5128593040847205 y[1] (numeric) 1.5128593040847194 absolute error 1.1102230246251565e-15 relative error 7.338574192772283e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6609999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.661 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6610000000000178 Order of pole (three term test) 651.0000000000176 Radius of convergence (six term test) for eq 1 0.06896843597828156 Order of pole (six term test) -12.161290322580646 TOP MAIN SOLVE Loop x[1] 0.34000000000000025 y[1] (analytic) 1.5151515151515158 y[1] (numeric) 1.5151515151515145 absolute error 1.3322676295501878e-15 relative error 8.792966355031236e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6599999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6600000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6600000000000139 Order of pole (three term test) 651.0000000000136 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34100000000000025 y[1] (analytic) 1.5174506828528078 y[1] (numeric) 1.5174506828528067 absolute error 1.1102230246251565e-15 relative error 7.316369732279779e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6589999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6589999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6590000000000038 Order of pole (three term test) 651.0000000000038 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34200000000000025 y[1] (analytic) 1.5197568389057758 y[1] (numeric) 1.5197568389057745 absolute error 1.3322676295501878e-15 relative error 8.766321002440231e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6579999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6579999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6579999999999759 Order of pole (three term test) 650.9999999999756 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34300000000000025 y[1] (analytic) 1.5220700152207005 y[1] (numeric) 1.5220700152206996 absolute error 8.881784197001252e-16 relative error 5.835332217429822e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6569999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6570000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.657 Order of pole (three term test) 650.9999999999995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34400000000000025 y[1] (analytic) 1.5243902439024397 y[1] (numeric) 1.5243902439024386 absolute error 1.1102230246251565e-15 relative error 7.283063041541023e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6559999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6559999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6560000000000054 Order of pole (three term test) 651.0000000000052 Radius of convergence (six term test) for eq 1 0.10388760715617104 Order of pole (six term test) -11.896825396825397 TOP MAIN SOLVE Loop x[1] 0.34500000000000025 y[1] (analytic) 1.526717557251909 y[1] (numeric) 1.526717557251908 absolute error 8.881784197001252e-16 relative error 5.817568649035818e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6549999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6549999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.655000000000015 Order of pole (three term test) 651.0000000000149 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34600000000000025 y[1] (analytic) 1.5290519877675848 y[1] (numeric) 1.5290519877675837 absolute error 1.1102230246251565e-15 relative error 7.26085858104852e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6539999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6539999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6540000000000138 Order of pole (three term test) 651.0000000000139 Radius of convergence (six term test) for eq 1 0.22170250336881628 Order of pole (six term test) -13.2 TOP MAIN SOLVE Loop x[1] 0.34700000000000025 y[1] (analytic) 1.5313935681470143 y[1] (numeric) 1.5313935681470134 absolute error 8.881784197001252e-16 relative error 5.799805080641816e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6529999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6529999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6530000000000027 Order of pole (three term test) 651.0000000000026 Radius of convergence (six term test) for eq 1 0.21635948921050024 Order of pole (six term test) -12.357142857142858 TOP MAIN SOLVE Loop x[1] 0.34800000000000025 y[1] (analytic) 1.5337423312883443 y[1] (numeric) 1.5337423312883431 absolute error 1.1102230246251565e-15 relative error 7.238654120556017e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6519999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.652 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.651999999999992 Order of pole (three term test) 650.9999999999917 Radius of convergence (six term test) for eq 1 0.10041146119075023 Order of pole (six term test) -11.076923076923077 TOP MAIN SOLVE Loop x[1] 0.34900000000000025 y[1] (analytic) 1.536098310291859 y[1] (numeric) 1.5360983102918582 absolute error 8.881784197001252e-16 relative error 5.782041512247813e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6509999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6509999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6509999999999901 Order of pole (three term test) 650.9999999999899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35000000000000026 y[1] (analytic) 1.5384615384615392 y[1] (numeric) 1.5384615384615379 absolute error 1.3322676295501878e-15 relative error 8.659739592076217e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6499999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.65 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6499999999999976 Order of pole (three term test) 650.9999999999973 Radius of convergence (six term test) for eq 1 0.1478016689125442 Order of pole (six term test) -11.333333333333334 TOP MAIN SOLVE Loop x[1] 0.35100000000000026 y[1] (analytic) 1.540832049306626 y[1] (numeric) 1.540832049306625 absolute error 1.1102230246251565e-15 relative error 7.205347429817263e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6489999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6489999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6489999999999789 Order of pole (three term test) 650.9999999999783 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35200000000000026 y[1] (analytic) 1.5432098765432105 y[1] (numeric) 1.5432098765432092 absolute error 1.3322676295501878e-15 relative error 8.633094239485214e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6479999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6479999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6480000000000117 Order of pole (three term test) 651.0000000000119 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35300000000000026 y[1] (analytic) 1.5455950540958274 y[1] (numeric) 1.545595054095826 absolute error 1.3322676295501878e-15 relative error 8.619771563189713e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6469999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6469999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6469999999999818 Order of pole (three term test) 650.9999999999812 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35400000000000026 y[1] (analytic) 1.547987616099072 y[1] (numeric) 1.5479876160990704 absolute error 1.5543122344752192e-15 relative error 1.004085703470991e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6459999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6459999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6460000000000012 Order of pole (three term test) 651.0000000000009 Radius of convergence (six term test) for eq 1 0.4245279731654912 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.35500000000000026 y[1] (analytic) 1.5503875968992253 y[1] (numeric) 1.550387596899224 absolute error 1.3322676295501878e-15 relative error 8.593126210598709e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6449999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6450000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6450000000000058 Order of pole (three term test) 651.0000000000056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35600000000000026 y[1] (analytic) 1.5527950310559013 y[1] (numeric) 1.5527950310558998 absolute error 1.5543122344752192e-15 relative error 1.0009770790020407e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6439999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.644 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6439999999999988 Order of pole (three term test) 650.9999999999986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35700000000000026 y[1] (analytic) 1.5552099533437018 y[1] (numeric) 1.5552099533437005 absolute error 1.3322676295501878e-15 relative error 8.566480858007706e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6429999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6430000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6429999999999988 Order of pole (three term test) 650.9999999999986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35800000000000026 y[1] (analytic) 1.557632398753895 y[1] (numeric) 1.5576323987538931 absolute error 1.7763568394002505e-15 relative error 1.14042109089496e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6419999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.642 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6420000000000086 Order of pole (three term test) 651.0000000000084 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35900000000000026 y[1] (analytic) 1.5600624024961003 y[1] (numeric) 1.560062402496099 absolute error 1.3322676295501878e-15 relative error 8.539835505416702e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6409999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6410000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6410000000000171 Order of pole (three term test) 651.0000000000173 Radius of convergence (six term test) for eq 1 1.3053489954797528 Order of pole (six term test) -59.5 TOP MAIN SOLVE Loop x[1] 0.36000000000000026 y[1] (analytic) 1.5625000000000009 y[1] (numeric) 1.5624999999999991 absolute error 1.7763568394002505e-15 relative error 1.1368683772161597e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6399999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.64 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6399999999999938 Order of pole (three term test) 650.9999999999932 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] 0.36100000000000027 y[1] (analytic) 1.5649452269170585 y[1] (numeric) 1.564945226917057 absolute error 1.5543122344752192e-15 relative error 9.932055178296647e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6389999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.639 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6389999999999738 Order of pole (three term test) 650.9999999999725 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36200000000000027 y[1] (analytic) 1.567398119122258 y[1] (numeric) 1.5673981191222561 absolute error 1.7763568394002505e-15 relative error 1.1333156635373592e-13% Correct digits 15 h 0.001 Radius of convergence (given) for eq 1 0.6379999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6380000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6379999999999939 Order of pole (three term test) 650.9999999999932 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36300000000000027 y[1] (analytic) 1.569858712715856 y[1] (numeric) 1.5698587127158548 absolute error 1.3322676295501878e-15 relative error 8.486544800234694e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6369999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.637 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6369999999999902 Order of pole (three term test) 650.9999999999897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36400000000000027 y[1] (analytic) 1.572327044025158 y[1] (numeric) 1.5723270440251564 absolute error 1.5543122344752192e-15 relative error 9.885425811262389e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6359999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.636 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6360000000000113 Order of pole (three term test) 651.0000000000117 Radius of convergence (six term test) for eq 1 0.24510133958562255 Order of pole (six term test) -13.222222222222221 TOP MAIN SOLVE Loop x[1] 0.36500000000000027 y[1] (analytic) 1.5748031496062997 y[1] (numeric) 1.5748031496062984 absolute error 1.3322676295501878e-15 relative error 8.45989944764369e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6349999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6350000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6350000000000057 Order of pole (three term test) 651.0000000000056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36600000000000027 y[1] (analytic) 1.5772870662460576 y[1] (numeric) 1.577287066246056 absolute error 1.5543122344752192e-15 relative error 9.854339566572885e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6339999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.634 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6340000000000123 Order of pole (three term test) 651.0000000000124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36700000000000027 y[1] (analytic) 1.5797788309636656 y[1] (numeric) 1.5797788309636644 absolute error 1.1102230246251565e-15 relative error 7.027711745877238e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6329999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.633 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6329999999999926 Order of pole (three term test) 650.9999999999919 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36800000000000027 y[1] (analytic) 1.582278481012659 y[1] (numeric) 1.5822784810126576 absolute error 1.5543122344752192e-15 relative error 9.82325332188338e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6319999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.632 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.632000000000005 Order of pole (three term test) 651.000000000005 Radius of convergence (six term test) for eq 1 0.06343611235626906 Order of pole (six term test) -11.885964912280702 TOP MAIN SOLVE Loop x[1] 0.36900000000000027 y[1] (analytic) 1.5847860538827263 y[1] (numeric) 1.5847860538827252 absolute error 1.1102230246251565e-15 relative error 7.005507285384735e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6309999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6309999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6309999999999848 Order of pole (three term test) 650.999999999984 Radius of convergence (six term test) for eq 1 0.128 Order of pole (six term test) -12.333333333333334 TOP MAIN SOLVE Loop x[1] 0.3700000000000003 y[1] (analytic) 1.587301587301588 y[1] (numeric) 1.5873015873015868 absolute error 1.3322676295501878e-15 relative error 8.39328606616618e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6299999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6299999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6299999999999719 Order of pole (three term test) 650.9999999999702 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3710000000000003 y[1] (analytic) 1.5898251192368844 y[1] (numeric) 1.5898251192368833 absolute error 1.1102230246251565e-15 relative error 6.983302824892232e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6289999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6290000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6289999999999849 Order of pole (three term test) 650.9999999999837 Radius of convergence (six term test) for eq 1 0.06223007165496291 Order of pole (six term test) -12.10909090909091 TOP MAIN SOLVE Loop x[1] 0.3720000000000003 y[1] (analytic) 1.59235668789809 y[1] (numeric) 1.5923566878980886 absolute error 1.3322676295501878e-15 relative error 8.366640713575176e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6279999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6280000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6280000000000083 Order of pole (three term test) 651.0000000000086 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3730000000000003 y[1] (analytic) 1.5948963317384375 y[1] (numeric) 1.5948963317384364 absolute error 1.1102230246251565e-15 relative error 6.961098364399729e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6269999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6269999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6270000000000013 Order of pole (three term test) 651.000000000001 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3740000000000003 y[1] (analytic) 1.5974440894568698 y[1] (numeric) 1.5974440894568684 absolute error 1.3322676295501878e-15 relative error 8.339995360984171e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6259999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6259999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6259999999999865 Order of pole (three term test) 650.9999999999854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3750000000000003 y[1] (analytic) 1.6000000000000005 y[1] (numeric) 1.5999999999999994 absolute error 1.1102230246251565e-15 relative error 6.938893903907226e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6249999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.625 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6250000000000147 Order of pole (three term test) 651.0000000000151 Radius of convergence (six term test) for eq 1 0.1810193359837562 Order of pole (six term test) -15.0 TOP MAIN SOLVE Loop x[1] 0.3760000000000003 y[1] (analytic) 1.6025641025641035 y[1] (numeric) 1.602564102564102 absolute error 1.5543122344752192e-15 relative error 9.698908343125361e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6239999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.624 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6239999999999968 Order of pole (three term test) 650.9999999999965 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3770000000000003 y[1] (analytic) 1.6051364365971112 y[1] (numeric) 1.6051364365971101 absolute error 1.1102230246251565e-15 relative error 6.916689443414723e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6229999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6229999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6229999999999939 Order of pole (three term test) 650.9999999999933 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3780000000000003 y[1] (analytic) 1.607717041800644 y[1] (numeric) 1.6077170418006426 absolute error 1.3322676295501878e-15 relative error 8.286704655802164e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6219999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.622 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6220000000000115 Order of pole (three term test) 651.000000000012 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3790000000000003 y[1] (analytic) 1.6103059581320456 y[1] (numeric) 1.6103059581320445 absolute error 1.1102230246251565e-15 relative error 6.89448498292222e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6209999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6210000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6210000000000107 Order of pole (three term test) 651.0000000000111 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000003 y[1] (analytic) 1.6129032258064524 y[1] (numeric) 1.612903225806451 absolute error 1.3322676295501878e-15 relative error 8.260059303211161e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6199999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.62 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6199999999999825 Order of pole (three term test) 650.9999999999811 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3810000000000003 y[1] (analytic) 1.6155088852988697 y[1] (numeric) 1.6155088852988686 absolute error 1.1102230246251565e-15 relative error 6.872280522429716e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6189999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6189999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6189999999999862 Order of pole (three term test) 650.9999999999849 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3820000000000003 y[1] (analytic) 1.6181229773462793 y[1] (numeric) 1.6181229773462777 absolute error 1.5543122344752192e-15 relative error 9.605649609056849e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6179999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6180000000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6179999999999994 Order of pole (three term test) 650.9999999999991 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3830000000000003 y[1] (analytic) 1.6207455429497575 y[1] (numeric) 1.6207455429497564 absolute error 1.1102230246251565e-15 relative error 6.850076061937213e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6169999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6169999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6170000000000062 Order of pole (three term test) 651.0000000000068 Radius of convergence (six term test) for eq 1 0.10084334043626693 Order of pole (six term test) -12.227586206896552 TOP MAIN SOLVE Loop x[1] 0.3840000000000003 y[1] (analytic) 1.6233766233766243 y[1] (numeric) 1.623376623376623 absolute error 1.3322676295501878e-15 relative error 8.206768598029153e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6159999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.616 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6160000000000024 Order of pole (three term test) 651.0000000000025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3850000000000003 y[1] (analytic) 1.6260162601626023 y[1] (numeric) 1.6260162601626011 absolute error 1.1102230246251565e-15 relative error 6.82787160144471e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6149999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.615 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6149999999999978 Order of pole (three term test) 650.9999999999975 Radius of convergence (six term test) for eq 1 0.0739008344562721 Order of pole (six term test) -11.666666666666666 TOP MAIN SOLVE Loop x[1] 0.3860000000000003 y[1] (analytic) 1.6286644951140075 y[1] (numeric) 1.6286644951140061 absolute error 1.3322676295501878e-15 relative error 8.180123245438149e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6139999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6139999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6139999999999867 Order of pole (three term test) 650.9999999999852 Radius of convergence (six term test) for eq 1 0.08543887862207708 Order of pole (six term test) -12.207920792079207 TOP MAIN SOLVE Loop x[1] 0.3870000000000003 y[1] (analytic) 1.6313213703099516 y[1] (numeric) 1.6313213703099507 absolute error 8.881784197001252e-16 relative error 5.4445337127617655e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6129999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6129999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6129999999999831 Order of pole (three term test) 650.9999999999817 Radius of convergence (six term test) for eq 1 0.08095430810031051 Order of pole (six term test) -10.6 TOP MAIN SOLVE Loop x[1] 0.3880000000000003 y[1] (analytic) 1.633986928104576 y[1] (numeric) 1.633986928104575 absolute error 1.1102230246251565e-15 relative error 6.794564910705954e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6119999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6119999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6119999999999995 Order of pole (three term test) 650.9999999999994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3890000000000003 y[1] (analytic) 1.6366612111292969 y[1] (numeric) 1.636661211129296 absolute error 8.881784197001252e-16 relative error 5.4267701443677634e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6109999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6109999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6110000000000015 Order of pole (three term test) 651.0000000000015 Radius of convergence (six term test) for eq 1 0.06841887792958065 Order of pole (six term test) -11.642857142857142 TOP MAIN SOLVE Loop x[1] 0.3900000000000003 y[1] (analytic) 1.639344262295083 y[1] (numeric) 1.6393442622950818 absolute error 1.1102230246251565e-15 relative error 6.772360450213451e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6099999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6099999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6100000000000024 Order of pole (three term test) 651.0000000000026 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3910000000000003 y[1] (analytic) 1.6420361247947461 y[1] (numeric) 1.6420361247947453 absolute error 8.881784197001252e-16 relative error 5.4090065759737606e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6089999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.609 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6089999999999982 Order of pole (three term test) 650.9999999999978 Radius of convergence (six term test) for eq 1 0.10675937999722228 Order of pole (six term test) -11.41304347826087 TOP MAIN SOLVE Loop x[1] 0.3920000000000003 y[1] (analytic) 1.6447368421052642 y[1] (numeric) 1.6447368421052628 absolute error 1.3322676295501878e-15 relative error 8.100187187665137e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6079999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6079999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6079999999999801 Order of pole (three term test) 650.9999999999784 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3930000000000003 y[1] (analytic) 1.647446457990116 y[1] (numeric) 1.647446457990115 absolute error 1.1102230246251565e-15 relative error 6.739053759474698e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6069999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.607 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6069999999999873 Order of pole (three term test) 650.9999999999862 Radius of convergence (six term test) for eq 1 0.0739008344562721 Order of pole (six term test) -11.0 TOP MAIN SOLVE Loop x[1] 0.3940000000000003 y[1] (analytic) 1.650165016501651 y[1] (numeric) 1.6501650165016497 absolute error 1.3322676295501878e-15 relative error 8.073541835074134e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6059999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.606 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6059999999999978 Order of pole (three term test) 650.9999999999975 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3950000000000003 y[1] (analytic) 1.6528925619834718 y[1] (numeric) 1.6528925619834707 absolute error 1.1102230246251565e-15 relative error 6.716849298982195e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6049999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6049999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6050000000000081 Order of pole (three term test) 651.0000000000086 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3960000000000003 y[1] (analytic) 1.6556291390728486 y[1] (numeric) 1.6556291390728473 absolute error 1.3322676295501878e-15 relative error 8.04689648248313e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6039999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6039999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6039999999999893 Order of pole (three term test) 650.9999999999884 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3970000000000003 y[1] (analytic) 1.6583747927031516 y[1] (numeric) 1.6583747927031505 absolute error 1.1102230246251565e-15 relative error 6.694644838489691e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6029999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.603 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.603000000000023 Order of pole (three term test) 651.0000000000252 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3980000000000003 y[1] (analytic) 1.6611295681063132 y[1] (numeric) 1.6611295681063118 absolute error 1.3322676295501878e-15 relative error 8.020251129892127e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6019999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6019999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6019999999999659 Order of pole (three term test) 650.9999999999623 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3990000000000003 y[1] (analytic) 1.6638935108153086 y[1] (numeric) 1.6638935108153075 absolute error 1.1102230246251565e-15 relative error 6.672440377997188e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.6009999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.6009999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6009999999999981 Order of pole (three term test) 650.9999999999977 Radius of convergence (six term test) for eq 1 0.40477154050155256 Order of pole (six term test) -14.0 TOP MAIN SOLVE Loop x[1] 0.4000000000000003 y[1] (analytic) 1.6666666666666676 y[1] (numeric) 1.6666666666666663 absolute error 1.3322676295501878e-15 relative error 7.993605777301122e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5999999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5999999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6000000000000112 Order of pole (three term test) 651.0000000000122 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4010000000000003 y[1] (analytic) 1.6694490818030057 y[1] (numeric) 1.6694490818030046 absolute error 1.1102230246251565e-15 relative error 6.650235917504685e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5989999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5989999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5990000000000024 Order of pole (three term test) 651.0000000000026 Radius of convergence (six term test) for eq 1 0.14377552597420357 Order of pole (six term test) -12.542056074766355 TOP MAIN SOLVE Loop x[1] 0.4020000000000003 y[1] (analytic) 1.6722408026755864 y[1] (numeric) 1.6722408026755848 absolute error 1.5543122344752192e-15 relative error 9.294787162161805e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5979999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.598 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5980000000000054 Order of pole (three term test) 651.0000000000057 Radius of convergence (six term test) for eq 1 0.12687222471253812 Order of pole (six term test) -12.06140350877193 TOP MAIN SOLVE Loop x[1] 0.4030000000000003 y[1] (analytic) 1.675041876046902 y[1] (numeric) 1.6750418760469008 absolute error 1.1102230246251565e-15 relative error 6.628031457012182e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5969999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.597 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5969999999999793 Order of pole (three term test) 650.9999999999766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4040000000000003 y[1] (analytic) 1.6778523489932895 y[1] (numeric) 1.6778523489932882 absolute error 1.3322676295501878e-15 relative error 7.940315072119115e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5959999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.596 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5960000000000057 Order of pole (three term test) 651.0000000000064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4050000000000003 y[1] (analytic) 1.6806722689075637 y[1] (numeric) 1.6806722689075626 absolute error 1.1102230246251565e-15 relative error 6.605826996519679e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5949999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5949999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5950000000000095 Order of pole (three term test) 651.0000000000103 Radius of convergence (six term test) for eq 1 0.11085125168440814 Order of pole (six term test) -10.5 TOP MAIN SOLVE Loop x[1] 0.4060000000000003 y[1] (analytic) 1.6835016835016845 y[1] (numeric) 1.6835016835016832 absolute error 1.3322676295501878e-15 relative error 7.913669719528112e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5939999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5939999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.593999999999993 Order of pole (three term test) 650.999999999992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4070000000000003 y[1] (analytic) 1.6863406408094441 y[1] (numeric) 1.6863406408094432 absolute error 8.881784197001252e-16 relative error 5.2668980288217405e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5929999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5929999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.593000000000008 Order of pole (three term test) 651.0000000000088 Radius of convergence (six term test) for eq 1 0.1810193359837562 Order of pole (six term test) -14.0 TOP MAIN SOLVE Loop x[1] 0.4080000000000003 y[1] (analytic) 1.6891891891891901 y[1] (numeric) 1.6891891891891888 absolute error 1.3322676295501878e-15 relative error 7.887024366937108e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5919999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.592 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.592000000000011 Order of pole (three term test) 651.000000000012 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4090000000000003 y[1] (analytic) 1.6920473773265658 y[1] (numeric) 1.6920473773265647 absolute error 1.1102230246251565e-15 relative error 6.561418075534673e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5909999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.591 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5910000000000208 Order of pole (three term test) 651.0000000000232 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4100000000000003 y[1] (analytic) 1.6949152542372892 y[1] (numeric) 1.6949152542372878 absolute error 1.3322676295501878e-15 relative error 7.860379014346103e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5899999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5900000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5899999999999924 Order of pole (three term test) 650.9999999999914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4110000000000003 y[1] (analytic) 1.6977928692699498 y[1] (numeric) 1.6977928692699487 absolute error 1.1102230246251565e-15 relative error 6.53921361504217e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5889999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5889999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5890000000000161 Order of pole (three term test) 651.0000000000178 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4120000000000003 y[1] (analytic) 1.7006802721088445 y[1] (numeric) 1.7006802721088432 absolute error 1.3322676295501878e-15 relative error 7.8337336617551e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5879999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.588 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5880000000000114 Order of pole (three term test) 651.0000000000128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4130000000000003 y[1] (analytic) 1.703577512776832 y[1] (numeric) 1.7035775127768311 absolute error 8.881784197001252e-16 relative error 5.213607323639733e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5869999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5869999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5869999999999947 Order of pole (three term test) 650.9999999999941 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4140000000000003 y[1] (analytic) 1.7064846416382262 y[1] (numeric) 1.706484641638225 absolute error 1.1102230246251565e-15 relative error 6.505906924303414e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5859999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5859999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5859999999999936 Order of pole (three term test) 650.9999999999928 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4150000000000003 y[1] (analytic) 1.7094017094017102 y[1] (numeric) 1.7094017094017093 absolute error 8.881784197001252e-16 relative error 5.19584375524573e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5849999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.585 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.584999999999995 Order of pole (three term test) 650.9999999999943 Radius of convergence (six term test) for eq 1 0.20902312471749787 Order of pole (six term test) -12.833333333333334 TOP MAIN SOLVE Loop x[1] 0.4160000000000003 y[1] (analytic) 1.7123287671232887 y[1] (numeric) 1.7123287671232876 absolute error 1.1102230246251565e-15 relative error 6.48370246381091e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5839999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.584 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5840000000000024 Order of pole (three term test) 651.0000000000028 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4170000000000003 y[1] (analytic) 1.7152658662092632 y[1] (numeric) 1.7152658662092624 absolute error 8.881784197001252e-16 relative error 5.178080186851728e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5829999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5829999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5829999999999922 Order of pole (three term test) 650.9999999999915 Radius of convergence (six term test) for eq 1 0.12107587877464542 Order of pole (six term test) -11.81578947368421 TOP MAIN SOLVE Loop x[1] 0.4180000000000003 y[1] (analytic) 1.718213058419245 y[1] (numeric) 1.7182130584192439 absolute error 1.1102230246251565e-15 relative error 6.461498003318407e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5819999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5819999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5819999999999785 Order of pole (three term test) 650.9999999999756 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4190000000000003 y[1] (analytic) 1.7211703958691917 y[1] (numeric) 1.7211703958691909 absolute error 8.881784197001252e-16 relative error 5.160316618457726e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5809999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5809999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5809999999999901 Order of pole (three term test) 650.9999999999887 Radius of convergence (six term test) for eq 1 0.11684747893443545 Order of pole (six term test) -11.833333333333334 TOP MAIN SOLVE Loop x[1] 0.4200000000000003 y[1] (analytic) 1.7241379310344838 y[1] (numeric) 1.7241379310344827 absolute error 1.1102230246251565e-15 relative error 6.439293542825904e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5799999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5799999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5799999999999919 Order of pole (three term test) 650.9999999999908 Radius of convergence (six term test) for eq 1 0.0905096679918781 Order of pole (six term test) -11.875 TOP MAIN SOLVE Loop x[1] 0.4210000000000003 y[1] (analytic) 1.7271157167530233 y[1] (numeric) 1.7271157167530224 absolute error 8.881784197001252e-16 relative error 5.1425530500637224e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5789999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5789999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5789999999999847 Order of pole (three term test) 650.9999999999826 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4220000000000003 y[1] (analytic) 1.730103806228375 y[1] (numeric) 1.7301038062283738 absolute error 1.1102230246251565e-15 relative error 6.4170890823334e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5779999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5779999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5779999999999819 Order of pole (three term test) 650.9999999999792 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4230000000000003 y[1] (analytic) 1.7331022530329296 y[1] (numeric) 1.733102253032929 absolute error 6.661338147750939e-16 relative error 3.8435921112522906e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5769999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5769999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5770000000000164 Order of pole (three term test) 651.0000000000186 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4240000000000003 y[1] (analytic) 1.7361111111111123 y[1] (numeric) 1.7361111111111112 absolute error 1.1102230246251565e-15 relative error 6.394884621840898e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5759999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5759999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5759999999999952 Order of pole (three term test) 650.9999999999945 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4250000000000003 y[1] (analytic) 1.7391304347826095 y[1] (numeric) 1.7391304347826086 absolute error 8.881784197001252e-16 relative error 5.1070259132757176e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5749999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5749999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5749999999999946 Order of pole (three term test) 650.9999999999939 Radius of convergence (six term test) for eq 1 0.11948843339121036 Order of pole (six term test) -11.714285714285715 TOP MAIN SOLVE Loop x[1] 0.4260000000000003 y[1] (analytic) 1.7421602787456458 y[1] (numeric) 1.7421602787456445 absolute error 1.3322676295501878e-15 relative error 7.647216193618073e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5739999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.574 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5740000000000071 Order of pole (three term test) 651.0000000000083 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4270000000000003 y[1] (analytic) 1.74520069808028 y[1] (numeric) 1.7452006980802792 absolute error 8.881784197001252e-16 relative error 5.089262344881715e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5729999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5729999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5729999999999964 Order of pole (three term test) 650.9999999999959 Radius of convergence (six term test) for eq 1 0.09195791463770876 Order of pole (six term test) -11.919354838709678 TOP MAIN SOLVE Loop x[1] 0.4280000000000003 y[1] (analytic) 1.7482517482517494 y[1] (numeric) 1.7482517482517483 absolute error 1.1102230246251565e-15 relative error 6.350475700855892e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5719999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5719999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5720000000000012 Order of pole (three term test) 651.0000000000016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4290000000000003 y[1] (analytic) 1.751313485113836 y[1] (numeric) 1.7513134851138354 absolute error 6.661338147750939e-16 relative error 3.8036240823657847e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5709999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5709999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.570999999999991 Order of pole (three term test) 650.9999999999895 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4300000000000003 y[1] (analytic) 1.754385964912282 y[1] (numeric) 1.7543859649122808 absolute error 1.1102230246251565e-15 relative error 6.328271240363387e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5699999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5699999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5699999999999892 Order of pole (three term test) 650.9999999999875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4310000000000003 y[1] (analytic) 1.7574692442882258 y[1] (numeric) 1.7574692442882252 absolute error 6.661338147750939e-16 relative error 3.790301406070282e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5689999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5689999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5689999999999906 Order of pole (three term test) 650.9999999999892 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43200000000000033 y[1] (analytic) 1.7605633802816913 y[1] (numeric) 1.7605633802816902 absolute error 1.1102230246251565e-15 relative error 6.306066779870885e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5679999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.568 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5680000000000053 Order of pole (three term test) 651.0000000000063 Radius of convergence (six term test) for eq 1 0.192 Order of pole (six term test) -12.875 TOP MAIN SOLVE Loop x[1] 0.43300000000000033 y[1] (analytic) 1.7636684303350978 y[1] (numeric) 1.7636684303350971 absolute error 6.661338147750939e-16 relative error 3.776978729774781e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5669999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5669999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5669999999999844 Order of pole (three term test) 650.9999999999819 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43400000000000033 y[1] (analytic) 1.766784452296821 y[1] (numeric) 1.76678445229682 absolute error 1.1102230246251565e-15 relative error 6.283862319378382e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5659999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.566 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5660000000000116 Order of pole (three term test) 651.0000000000138 Radius of convergence (six term test) for eq 1 0.08406906591093573 Order of pole (six term test) -12.686274509803921 TOP MAIN SOLVE Loop x[1] 0.43500000000000033 y[1] (analytic) 1.7699115044247795 y[1] (numeric) 1.7699115044247788 absolute error 6.661338147750939e-16 relative error 3.763656053479279e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5649999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5649999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5649999999999978 Order of pole (three term test) 650.9999999999972 Radius of convergence (six term test) for eq 1 0.1693280839081338 Order of pole (six term test) -12.75 TOP MAIN SOLVE Loop x[1] 0.43600000000000033 y[1] (analytic) 1.7730496453900721 y[1] (numeric) 1.773049645390071 absolute error 1.1102230246251565e-15 relative error 6.261657858885879e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5639999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5639999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5639999999999793 Order of pole (three term test) 650.9999999999759 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43700000000000033 y[1] (analytic) 1.7761989342806404 y[1] (numeric) 1.7761989342806395 absolute error 8.881784197001252e-16 relative error 5.000444502911702e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5629999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5629999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5630000000000025 Order of pole (three term test) 651.0000000000032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43800000000000033 y[1] (analytic) 1.7793594306049834 y[1] (numeric) 1.7793594306049823 absolute error 1.1102230246251565e-15 relative error 6.239453398393376e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5619999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5619999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5619999999999886 Order of pole (three term test) 650.9999999999866 Radius of convergence (six term test) for eq 1 0.05131415844718549 Order of pole (six term test) -11.517857142857142 TOP MAIN SOLVE Loop x[1] 0.43900000000000033 y[1] (analytic) 1.782531194295901 y[1] (numeric) 1.7825311942959001 absolute error 8.881784197001252e-16 relative error 4.9826809345177e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5609999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5609999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5609999999999971 Order of pole (three term test) 650.9999999999964 Radius of convergence (six term test) for eq 1 0.12143146215046577 Order of pole (six term test) -11.6 TOP MAIN SOLVE Loop x[1] 0.44000000000000034 y[1] (analytic) 1.785714285714287 y[1] (numeric) 1.7857142857142856 absolute error 1.3322676295501878e-15 relative error 7.460698725481047e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5599999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5599999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5600000000000085 Order of pole (three term test) 651.0000000000098 Radius of convergence (six term test) for eq 1 0.059252486385443295 Order of pole (six term test) -11.818181818181818 TOP MAIN SOLVE Loop x[1] 0.44100000000000034 y[1] (analytic) 1.7889087656529525 y[1] (numeric) 1.7889087656529516 absolute error 8.881784197001252e-16 relative error 4.964917366123698e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5589999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5589999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5589999999999921 Order of pole (three term test) 650.9999999999905 Radius of convergence (six term test) for eq 1 0.12204321142343583 Order of pole (six term test) -12.636363636363637 TOP MAIN SOLVE Loop x[1] 0.44200000000000034 y[1] (analytic) 1.7921146953405032 y[1] (numeric) 1.7921146953405018 absolute error 1.3322676295501878e-15 relative error 7.434053372890042e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5579999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5579999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5580000000000013 Order of pole (three term test) 651.0000000000015 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44300000000000034 y[1] (analytic) 1.7953321364452433 y[1] (numeric) 1.7953321364452424 absolute error 8.881784197001252e-16 relative error 4.947153797729695e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5569999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5569999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5569999999999984 Order of pole (three term test) 650.9999999999982 Radius of convergence (six term test) for eq 1 0.05337968999861114 Order of pole (six term test) -11.652173913043478 TOP MAIN SOLVE Loop x[1] 0.44400000000000034 y[1] (analytic) 1.798561151079138 y[1] (numeric) 1.7985611510791366 absolute error 1.3322676295501878e-15 relative error 7.40740802029904e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5559999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5559999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5560000000000013 Order of pole (three term test) 651.0000000000016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44500000000000034 y[1] (analytic) 1.8018018018018027 y[1] (numeric) 1.8018018018018018 absolute error 8.881784197001252e-16 relative error 4.9293902293356925e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5549999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5549999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5549999999999907 Order of pole (three term test) 650.9999999999889 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44600000000000034 y[1] (analytic) 1.80505415162455 y[1] (numeric) 1.8050541516245489 absolute error 1.1102230246251565e-15 relative error 6.150635556423363e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5539999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5539999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5539999999999836 Order of pole (three term test) 650.9999999999807 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44700000000000034 y[1] (analytic) 1.8083182640144675 y[1] (numeric) 1.8083182640144666 absolute error 8.881784197001252e-16 relative error 4.91162666094169e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5529999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5529999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5529999999999767 Order of pole (three term test) 650.9999999999721 Radius of convergence (six term test) for eq 1 0.019990241521741576 Order of pole (six term test) -11.829268292682926 TOP MAIN SOLVE Loop x[1] 0.44800000000000034 y[1] (analytic) 1.811594202898552 y[1] (numeric) 1.8115942028985508 absolute error 1.3322676295501878e-15 relative error 7.354117315117032e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5519999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5519999999999995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5519999999999848 Order of pole (three term test) 650.9999999999817 Radius of convergence (six term test) for eq 1 0.08533333333333333 Order of pole (six term test) -13.277777777777779 TOP MAIN SOLVE Loop x[1] 0.44900000000000034 y[1] (analytic) 1.8148820326678776 y[1] (numeric) 1.8148820326678767 absolute error 8.881784197001252e-16 relative error 4.893863092547687e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5509999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5509999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5510000000000098 Order of pole (three term test) 651.000000000012 Radius of convergence (six term test) for eq 1 0.1453982295672486 Order of pole (six term test) -12.709677419354838 TOP MAIN SOLVE Loop x[1] 0.45000000000000034 y[1] (analytic) 1.8181818181818195 y[1] (numeric) 1.8181818181818183 absolute error 1.1102230246251565e-15 relative error 6.106226635438357e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5499999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5499999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5499999999999944 Order of pole (three term test) 650.9999999999933 Radius of convergence (six term test) for eq 1 0.06841887792958065 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.45100000000000035 y[1] (analytic) 1.8214936247723144 y[1] (numeric) 1.8214936247723135 absolute error 8.881784197001252e-16 relative error 4.876099524153685e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5489999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5489999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5490000000000196 Order of pole (three term test) 651.000000000024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.45200000000000035 y[1] (analytic) 1.8248175182481765 y[1] (numeric) 1.8248175182481754 absolute error 1.1102230246251565e-15 relative error 6.084022174945854e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5479999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5479999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5480000000000111 Order of pole (three term test) 651.0000000000136 Radius of convergence (six term test) for eq 1 0.3288379540138273 Order of pole (six term test) -15.9 TOP MAIN SOLVE Loop x[1] 0.45300000000000035 y[1] (analytic) 1.8281535648994525 y[1] (numeric) 1.8281535648994518 absolute error 6.661338147750939e-16 relative error 3.643751966819762e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5469999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5469999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5470000000000163 Order of pole (three term test) 651.0000000000202 Radius of convergence (six term test) for eq 1 0.08832839159582134 Order of pole (six term test) -12.5 TOP MAIN SOLVE Loop x[1] 0.45400000000000035 y[1] (analytic) 1.8315018315018328 y[1] (numeric) 1.8315018315018317 absolute error 1.1102230246251565e-15 relative error 6.061817714453351e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5459999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5459999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5459999999999999 Order of pole (three term test) 651.0000000000001 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.45500000000000035 y[1] (analytic) 1.834862385321102 y[1] (numeric) 1.834862385321101 absolute error 8.881784197001252e-16 relative error 4.84057238736568e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5449999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5449999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5450000000000061 Order of pole (three term test) 651.0000000000077 Radius of convergence (six term test) for eq 1 0.256 Order of pole (six term test) -14.0 TOP MAIN SOLVE Loop x[1] 0.45600000000000035 y[1] (analytic) 1.8382352941176485 y[1] (numeric) 1.8382352941176472 absolute error 1.3322676295501878e-15 relative error 7.247535904753016e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5439999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5439999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5439999999999917 Order of pole (three term test) 650.9999999999901 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.45700000000000035 y[1] (analytic) 1.841620626151014 y[1] (numeric) 1.841620626151013 absolute error 8.881784197001252e-16 relative error 4.822808818971677e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5429999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5429999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5430000000000035 Order of pole (three term test) 651.0000000000043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.45800000000000035 y[1] (analytic) 1.8450184501845033 y[1] (numeric) 1.845018450184502 absolute error 1.3322676295501878e-15 relative error 7.220890552162013e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5419999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5419999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5420000000000033 Order of pole (three term test) 651.0000000000041 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.45900000000000035 y[1] (analytic) 1.8484288354898346 y[1] (numeric) 1.8484288354898337 absolute error 8.881784197001252e-16 relative error 4.805045250577675e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5409999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5409999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5409999999999912 Order of pole (three term test) 650.9999999999894 Radius of convergence (six term test) for eq 1 0.06684581988698797 Order of pole (six term test) -11.733766233766234 TOP MAIN SOLVE Loop x[1] 0.46000000000000035 y[1] (analytic) 1.8518518518518532 y[1] (numeric) 1.8518518518518519 absolute error 1.3322676295501878e-15 relative error 7.194245199571009e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5399999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5399999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5399999999999993 Order of pole (three term test) 650.9999999999989 Radius of convergence (six term test) for eq 1 0.14310835055998655 Order of pole (six term test) -12.3125 TOP MAIN SOLVE Loop x[1] 0.46100000000000035 y[1] (analytic) 1.855287569573285 y[1] (numeric) 1.8552875695732838 absolute error 1.1102230246251565e-15 relative error 5.98410210272959e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5389999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5389999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5389999999999926 Order of pole (three term test) 650.9999999999911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.46200000000000035 y[1] (analytic) 1.8587360594795552 y[1] (numeric) 1.858736059479554 absolute error 1.3322676295501878e-15 relative error 7.167599846980006e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5379999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5379999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5380000000000084 Order of pole (three term test) 651.0000000000103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.46300000000000036 y[1] (analytic) 1.862197392923651 y[1] (numeric) 1.86219739292365 absolute error 1.1102230246251565e-15 relative error 5.961897642237087e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5369999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5369999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5369999999999906 Order of pole (three term test) 650.9999999999885 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.46400000000000036 y[1] (analytic) 1.8656716417910462 y[1] (numeric) 1.8656716417910448 absolute error 1.3322676295501878e-15 relative error 7.140954494389001e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5359999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5359999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5360000000000005 Order of pole (three term test) 651.0000000000007 Radius of convergence (six term test) for eq 1 0.09354435020109687 Order of pole (six term test) -11.97159090909091 TOP MAIN SOLVE Loop x[1] 0.46500000000000036 y[1] (analytic) 1.869158878504674 y[1] (numeric) 1.8691588785046729 absolute error 1.1102230246251565e-15 relative error 5.939693181744584e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5349999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5349999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5349999999999976 Order of pole (three term test) 650.9999999999972 Radius of convergence (six term test) for eq 1 0.07893373937213165 Order of pole (six term test) -12.084507042253522 TOP MAIN SOLVE Loop x[1] 0.46600000000000036 y[1] (analytic) 1.872659176029964 y[1] (numeric) 1.8726591760299625 absolute error 1.5543122344752192e-15 relative error 8.300027332097664e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5339999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5339999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5339999999999868 Order of pole (three term test) 650.9999999999837 Radius of convergence (six term test) for eq 1 0.06841887792958065 Order of pole (six term test) -12.357142857142858 TOP MAIN SOLVE Loop x[1] 0.46700000000000036 y[1] (analytic) 1.8761726078799261 y[1] (numeric) 1.8761726078799248 absolute error 1.3322676295501878e-15 relative error 7.100986465502496e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5329999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.533 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5330000000000126 Order of pole (three term test) 651.0000000000153 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.46800000000000036 y[1] (analytic) 1.8796992481203023 y[1] (numeric) 1.8796992481203005 absolute error 1.7763568394002505e-15 relative error 9.450218385609324e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5319999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5319999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5319999999999804 Order of pole (three term test) 650.9999999999754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.46900000000000036 y[1] (analytic) 1.8832391713747656 y[1] (numeric) 1.8832391713747645 absolute error 1.1102230246251565e-15 relative error 5.895284260759579e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5309999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5309999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5310000000000101 Order of pole (three term test) 651.0000000000128 Radius of convergence (six term test) for eq 1 0.026127890589687234 Order of pole (six term test) -12.256944444444445 TOP MAIN SOLVE Loop x[1] 0.47000000000000036 y[1] (analytic) 1.8867924528301903 y[1] (numeric) 1.8867924528301885 absolute error 1.7763568394002505e-15 relative error 9.41469124882132e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5299999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5299999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5299999999999981 Order of pole (three term test) 650.9999999999976 Radius of convergence (six term test) for eq 1 0.08305736761895043 Order of pole (six term test) -11.736842105263158 TOP MAIN SOLVE Loop x[1] 0.47100000000000036 y[1] (analytic) 1.8903591682419671 y[1] (numeric) 1.8903591682419658 absolute error 1.3322676295501878e-15 relative error 7.04769576032049e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5289999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5289999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5290000000000027 Order of pole (three term test) 651.0000000000033 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.47200000000000036 y[1] (analytic) 1.8939393939393954 y[1] (numeric) 1.8939393939393938 absolute error 1.5543122344752192e-15 relative error 8.206768598029151e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5279999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5279999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5280000000000121 Order of pole (three term test) 651.0000000000152 Radius of convergence (six term test) for eq 1 0.03774514077565367 Order of pole (six term test) -12.326086956521738 TOP MAIN SOLVE Loop x[1] 0.47300000000000036 y[1] (analytic) 1.8975332068311206 y[1] (numeric) 1.8975332068311195 absolute error 1.1102230246251565e-15 relative error 5.850875339774571e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5269999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5269999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5269999999999976 Order of pole (three term test) 650.9999999999969 Radius of convergence (six term test) for eq 1 0.11936061545476016 Order of pole (six term test) -11.971014492753623 TOP MAIN SOLVE Loop x[1] 0.47400000000000037 y[1] (analytic) 1.901140684410648 y[1] (numeric) 1.9011406844106464 absolute error 1.5543122344752192e-15 relative error 8.175682353339646e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5259999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5259999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5260000000000089 Order of pole (three term test) 651.0000000000111 Radius of convergence (six term test) for eq 1 0.064 Order of pole (six term test) -10.875 TOP MAIN SOLVE Loop x[1] 0.47500000000000037 y[1] (analytic) 1.904761904761906 y[1] (numeric) 1.9047619047619049 absolute error 1.1102230246251565e-15 relative error 5.828670879282068e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5249999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5249999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5250000000000027 Order of pole (three term test) 651.0000000000033 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.47600000000000037 y[1] (analytic) 1.9083969465648871 y[1] (numeric) 1.9083969465648856 absolute error 1.5543122344752192e-15 relative error 8.144596108650141e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5239999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5239999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5239999999999915 Order of pole (three term test) 650.9999999999893 Radius of convergence (six term test) for eq 1 0.06684581988698797 Order of pole (six term test) -11.772727272727273 TOP MAIN SOLVE Loop x[1] 0.47700000000000037 y[1] (analytic) 1.9120458891013397 y[1] (numeric) 1.9120458891013385 absolute error 1.1102230246251565e-15 relative error 5.806466418789565e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5229999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5229999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5230000000000028 Order of pole (three term test) 651.0000000000038 Radius of convergence (six term test) for eq 1 0.040992807374102304 Order of pole (six term test) -11.846153846153847 TOP MAIN SOLVE Loop x[1] 0.47800000000000037 y[1] (analytic) 1.915708812260538 y[1] (numeric) 1.9157088122605366 absolute error 1.3322676295501878e-15 relative error 6.954437026251975e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5219999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5219999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5219999999999956 Order of pole (three term test) 650.9999999999948 Radius of convergence (six term test) for eq 1 0.04189783492531053 Order of pole (six term test) -12.017857142857142 TOP MAIN SOLVE Loop x[1] 0.47900000000000037 y[1] (analytic) 1.9193857965451067 y[1] (numeric) 1.9193857965451058 absolute error 8.881784197001252e-16 relative error 4.62740956663765e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5209999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5209999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5209999999999856 Order of pole (three term test) 650.9999999999816 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.48000000000000037 y[1] (analytic) 1.9230769230769247 y[1] (numeric) 1.9230769230769234 absolute error 1.3322676295501878e-15 relative error 6.92779167366097e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5199999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5199999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5200000000000019 Order of pole (three term test) 651.0000000000024 Radius of convergence (six term test) for eq 1 0.10041146119075023 Order of pole (six term test) -11.846153846153847 TOP MAIN SOLVE Loop x[1] 0.48100000000000037 y[1] (analytic) 1.926782273603084 y[1] (numeric) 1.926782273603083 absolute error 8.881784197001252e-16 relative error 4.609645998243647e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5189999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5189999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5189999999999859 Order of pole (three term test) 650.9999999999822 Radius of convergence (six term test) for eq 1 0.07100162511682934 Order of pole (six term test) -12.461538461538462 TOP MAIN SOLVE Loop x[1] 0.4820000000000004 y[1] (analytic) 1.9305019305019322 y[1] (numeric) 1.9305019305019306 absolute error 1.5543122344752192e-15 relative error 8.051337374581628e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5179999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5179999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5179999999999974 Order of pole (three term test) 650.9999999999966 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4830000000000004 y[1] (analytic) 1.9342359767891695 y[1] (numeric) 1.9342359767891684 absolute error 1.1102230246251565e-15 relative error 5.739853037312056e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5169999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5169999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5170000000000051 Order of pole (three term test) 651.0000000000065 Radius of convergence (six term test) for eq 1 0.064 Order of pole (six term test) -11.0 TOP MAIN SOLVE Loop x[1] 0.4840000000000004 y[1] (analytic) 1.9379844961240327 y[1] (numeric) 1.9379844961240311 absolute error 1.5543122344752192e-15 relative error 8.020251129892124e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5159999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5159999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5159999999999954 Order of pole (three term test) 650.9999999999941 Radius of convergence (six term test) for eq 1 0.14310835055998655 Order of pole (six term test) -12.75 TOP MAIN SOLVE Loop x[1] 0.4850000000000004 y[1] (analytic) 1.9417475728155351 y[1] (numeric) 1.941747572815534 absolute error 1.1102230246251565e-15 relative error 5.717648576819552e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5149999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5149999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5150000000000025 Order of pole (three term test) 651.0000000000032 Radius of convergence (six term test) for eq 1 0.10308957008087415 Order of pole (six term test) -11.945945945945946 TOP MAIN SOLVE Loop x[1] 0.4860000000000004 y[1] (analytic) 1.9455252918287953 y[1] (numeric) 1.9455252918287937 absolute error 1.5543122344752192e-15 relative error 7.98916488520262e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5139999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5139999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.514 Order of pole (three term test) 650.9999999999999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4870000000000004 y[1] (analytic) 1.9493177387914242 y[1] (numeric) 1.949317738791423 absolute error 1.3322676295501878e-15 relative error 6.834532939592459e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5129999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5129999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5130000000000019 Order of pole (three term test) 651.0000000000025 Radius of convergence (six term test) for eq 1 0.05140603704975993 Order of pole (six term test) -12.064516129032258 TOP MAIN SOLVE Loop x[1] 0.4880000000000004 y[1] (analytic) 1.9531250000000016 y[1] (numeric) 1.953125 absolute error 1.5543122344752192e-15 relative error 7.958078640513115e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5119999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.512 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5119999999999963 Order of pole (three term test) 650.9999999999953 Radius of convergence (six term test) for eq 1 0.0739008344562721 Order of pole (six term test) -11.833333333333334 TOP MAIN SOLVE Loop x[1] 0.4890000000000004 y[1] (analytic) 1.9569471624266157 y[1] (numeric) 1.9569471624266144 absolute error 1.3322676295501878e-15 relative error 6.807887587001455e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5109999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5109999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5109999999999856 Order of pole (three term test) 650.9999999999812 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000004 y[1] (analytic) 1.960784313725492 y[1] (numeric) 1.9607843137254901 absolute error 1.7763568394002505e-15 relative error 9.05941988094127e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5099999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5099999999999999 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5099999999999838 Order of pole (three term test) 650.9999999999787 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4910000000000004 y[1] (analytic) 1.964636542239687 y[1] (numeric) 1.9646365422396856 absolute error 1.3322676295501878e-15 relative error 6.781242234410452e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5089999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5089999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.508999999999999 Order of pole (three term test) 650.9999999999989 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4920000000000004 y[1] (analytic) 1.9685039370078756 y[1] (numeric) 1.968503937007874 absolute error 1.5543122344752192e-15 relative error 7.895906151134106e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5079999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5079999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5080000000000134 Order of pole (three term test) 651.0000000000177 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4930000000000004 y[1] (analytic) 1.9723865877712043 y[1] (numeric) 1.9723865877712032 absolute error 1.1102230246251565e-15 relative error 5.6288307348495405e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5069999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5069999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5070000000000152 Order of pole (three term test) 651.0000000000202 Radius of convergence (six term test) for eq 1 0.10518801966250473 Order of pole (six term test) -12.935064935064934 TOP MAIN SOLVE Loop x[1] 0.4940000000000004 y[1] (analytic) 1.9762845849802388 y[1] (numeric) 1.9762845849802373 absolute error 1.5543122344752192e-15 relative error 7.864819906444602e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5059999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5059999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.505999999999994 Order of pole (three term test) 650.9999999999923 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4950000000000004 y[1] (analytic) 1.9801980198019815 y[1] (numeric) 1.9801980198019804 absolute error 1.1102230246251565e-15 relative error 5.606626274357037e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5049999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5049999999999998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5050000000000013 Order of pole (three term test) 651.0000000000019 Radius of convergence (six term test) for eq 1 0.11988298388245683 Order of pole (six term test) -12.070175438596491 TOP MAIN SOLVE Loop x[1] 0.4960000000000004 y[1] (analytic) 1.984126984126986 y[1] (numeric) 1.9841269841269844 absolute error 1.5543122344752192e-15 relative error 7.833733661755097e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5039999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5039999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5039999999999982 Order of pole (three term test) 650.9999999999981 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] 0.4970000000000004 y[1] (analytic) 1.9880715705765422 y[1] (numeric) 1.988071570576541 absolute error 1.1102230246251565e-15 relative error 5.5844218138645336e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5029999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5029999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5029999999999866 Order of pole (three term test) 650.9999999999825 Radius of convergence (six term test) for eq 1 0.07927341277252253 Order of pole (six term test) -11.664383561643834 TOP MAIN SOLVE Loop x[1] 0.4980000000000004 y[1] (analytic) 1.992031872509962 y[1] (numeric) 1.9920318725099604 absolute error 1.5543122344752192e-15 relative error 7.802647417065593e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5019999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5019999999999997 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5020000000000144 Order of pole (three term test) 651.000000000019 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4990000000000004 y[1] (analytic) 1.9960079840319374 y[1] (numeric) 1.9960079840319365 absolute error 8.881784197001252e-16 relative error 4.4497738826976244e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5009999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.5009999999999996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5009999999999868 Order of pole (three term test) 650.9999999999826 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = y * y; Iterations 500 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.20000000000007%