##############ECHO OF PROBLEM################# ##############temp/cos_sqrt_linpostode.ode################# diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0)); ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=-1.0 x_end=5.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 $glob_display_interval=0.1 $glob_max_minutes=10 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=10000000 $glob_max_minutes=3 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(cos(sqrt(2.0*x+3.0))+sqrt(2.0*x+3.0)*sin(sqrt(2.0*x+3.0))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 desired_abs_gbl_error 1.0e-10 range 6.0 estimated_steps 6000000.0 step_error 1.6666666666666667e-17 est_needed_step_err 1.6666666666666667e-17 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.103518378789925e-170 estimated_step_error 4.103518378789925e-170 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.7538002507712087e-162 estimated_step_error 2.7538002507712087e-162 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.8480114271670434e-154 estimated_step_error 1.8480114271670434e-154 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.2401356697821487e-146 estimated_step_error 1.2401356697821487e-146 best_h 1.6e-05 opt_iter 5 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 8.32182166111968e-139 estimated_step_error 8.32182166111968e-139 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.583890886609353e-131 estimated_step_error 5.583890886609353e-131 best_h 6.4e-05 opt_iter 7 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.7462267026286524e-123 estimated_step_error 3.7462267026286524e-123 best_h 0.000128 opt_iter 8 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.512628943007042e-115 estimated_step_error 2.512628943007042e-115 best_h 0.000256 opt_iter 9 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.6842896599710554e-107 estimated_step_error 1.6842896599710554e-107 best_h 0.000512 opt_iter 10 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.1277492947818e-99 estimated_step_error 1.1277492947818e-99 best_h 0.001024 opt_iter 11 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.533893930555204e-92 estimated_step_error 7.533893930555204e-92 best_h 0.002048 opt_iter 12 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.0099613228497395e-84 estimated_step_error 5.0099613228497395e-84 best_h 0.004096 opt_iter 13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.300703066888821e-76 estimated_step_error 3.300703066888821e-76 best_h 0.008192 opt_iter 14 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.133284189770635e-68 estimated_step_error 2.133284189770635e-68 best_h 0.016384 opt_iter 15 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.3236395535125594e-60 estimated_step_error 1.3236395535125594e-60 best_h 0.032768 opt_iter 16 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.4812556062787e-53 estimated_step_error 7.4812556062787e-53 best_h 0.065536 opt_iter 17 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.267749904349364e-45 estimated_step_error 3.267749904349364e-45 best_h 0.131072 opt_iter 18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.8467757129960414e-38 estimated_step_error 1.8467757129960414e-38 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] -1.0 y[1] (analytic) 1.3817732906760363 y[1] (numeric) 1.3817732906760363 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.2438809138070534 Order of pole (six term test) -9.811242627086436 TOP MAIN SOLVE Loop x[1] -0.99 y[1] (analytic) 1.3871342903544166 y[1] (numeric) 1.3871342903544166 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.4172549019607843 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.98 y[1] (analytic) 1.392411443741349 y[1] (numeric) 1.392411443741349 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04140193898288673 Order of pole (three term test) -29.87210547221859 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.97 y[1] (analytic) 1.3976050510761118 y[1] (numeric) 1.3976050510761118 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.96 y[1] (analytic) 1.402715411979432 y[1] (numeric) 1.4027154119794316 absolute error 4.440892098500626e-16 relative error 3.16592521945267e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.037529901672354045 Order of pole (three term test) -90.03831198712123 Radius of convergence (six term test) for eq 1 0.08366335322011939 Order of pole (six term test) -11.20139734147961 TOP MAIN SOLVE Loop x[1] -0.95 y[1] (analytic) 1.4077428254543825 y[1] (numeric) 1.4077428254543822 absolute error 2.220446049250313e-16 relative error 1.577309441114439e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.13664512944913176 Order of pole (six term test) -11.939878112779791 TOP MAIN SOLVE Loop x[1] -0.94 y[1] (analytic) 1.4126875898872813 y[1] (numeric) 1.412687589887281 absolute error 2.220446049250313e-16 relative error 1.5717884584995068e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9299999999999999 y[1] (analytic) 1.4175500030485857 y[1] (numeric) 1.4175500030485855 absolute error 2.220446049250313e-16 relative error 1.5663969838630154e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.008331419046394853 Order of pole (three term test) -26.63133839755524 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9199999999999999 y[1] (analytic) 1.4223303620937884 y[1] (numeric) 1.422330362093788 absolute error 4.440892098500626e-16 relative error 3.12226485270501e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.011976889562332251 Order of pole (three term test) 2.5256703861618734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9099999999999999 y[1] (analytic) 1.4270289635643105 y[1] (numeric) 1.4270289635643103 absolute error 2.220446049250313e-16 relative error 1.5559922790244378e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.007023184532202103 Order of pole (three term test) -6.719394823633267 Radius of convergence (six term test) for eq 1 0.23612871797300902 Order of pole (six term test) -10.246701461953487 TOP MAIN SOLVE Loop x[1] -0.8999999999999999 y[1] (analytic) 1.4316461033883967 y[1] (numeric) 1.4316461033883965 absolute error 2.220446049250313e-16 relative error 1.550974115736422e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8899999999999999 y[1] (analytic) 1.436182076882005 y[1] (numeric) 1.4361820768820048 absolute error 2.220446049250313e-16 relative error 1.54607558818097e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8799999999999999 y[1] (analytic) 1.4406371787496997 y[1] (numeric) 1.4406371787496994 absolute error 2.220446049250313e-16 relative error 1.5412944230534118e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.21437491997026972 Order of pole (six term test) -12.531207272939636 TOP MAIN SOLVE Loop x[1] -0.8699999999999999 y[1] (analytic) 1.44501170308554 y[1] (numeric) 1.4450117030855398 absolute error 2.220446049250313e-16 relative error 1.5366284193470436e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8599999999999999 y[1] (analytic) 1.4493059433739703 y[1] (numeric) 1.4493059433739701 absolute error 2.220446049250313e-16 relative error 1.5320754457689838e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017256848296646542 Order of pole (three term test) -16.70749521892328 Radius of convergence (six term test) for eq 1 0.11136862373930545 Order of pole (six term test) -11.829101781559366 TOP MAIN SOLVE Loop x[1] -0.8499999999999999 y[1] (analytic) 1.4535201924907075 y[1] (numeric) 1.4535201924907073 absolute error 2.220446049250313e-16 relative error 1.5276334382705925e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0036893785640273245 Order of pole (three term test) -2.7849651672162734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8399999999999999 y[1] (analytic) 1.4576547427036284 y[1] (numeric) 1.4576547427036282 absolute error 2.220446049250313e-16 relative error 1.5233003976866806e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.021058405174990733 Order of pole (three term test) -17.055915129195412 Radius of convergence (six term test) for eq 1 0.19652127244823658 Order of pole (six term test) -9.883169175358827 TOP MAIN SOLVE Loop x[1] -0.8299999999999998 y[1] (analytic) 1.4617098856736557 y[1] (numeric) 1.4617098856736555 absolute error 2.220446049250313e-16 relative error 1.519074387478046e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.025793683583751902 Order of pole (three term test) -23.06611176393517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8199999999999998 y[1] (analytic) 1.4656859124556436 y[1] (numeric) 1.4656859124556432 absolute error 4.440892098500626e-16 relative error 3.029907063144418e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.014148554786600188 Order of pole (three term test) 14.006387310209005 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8099999999999998 y[1] (analytic) 1.4695831134992607 y[1] (numeric) 1.4695831134992603 absolute error 4.440892098500626e-16 relative error 3.021872024594994e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7999999999999998 y[1] (analytic) 1.4734017786498748 y[1] (numeric) 1.4734017786498743 absolute error 4.440892098500626e-16 relative error 3.0140401368118056e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017263316491537964 Order of pole (three term test) 3.9080059450362445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7899999999999998 y[1] (analytic) 1.477142197149433 y[1] (numeric) 1.4771421971494327 absolute error 2.220446049250313e-16 relative error 1.5032039931804106e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.14702572935287603 Order of pole (six term test) -11.965830281443353 TOP MAIN SOLVE Loop x[1] -0.7799999999999998 y[1] (analytic) 1.4808046576373453 y[1] (numeric) 1.4808046576373448 absolute error 4.440892098500626e-16 relative error 2.998972265245412e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.09064796674771791 Order of pole (six term test) -12.67700777165963 TOP MAIN SOLVE Loop x[1] -0.7699999999999998 y[1] (analytic) 1.4843894481513615 y[1] (numeric) 1.4843894481513613 absolute error 2.220446049250313e-16 relative error 1.4958648837174275e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.038839293432844424 Order of pole (three term test) -17.12302250525891 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7599999999999998 y[1] (analytic) 1.4878968561284545 y[1] (numeric) 1.487896856128454 absolute error 4.440892098500626e-16 relative error 2.984677385538632e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04593134470772657 Order of pole (three term test) 9.903650862166893 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7499999999999998 y[1] (analytic) 1.4913271684056935 y[1] (numeric) 1.4913271684056932 absolute error 2.220446049250313e-16 relative error 1.488906053809833e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7399999999999998 y[1] (analytic) 1.494680671221126 y[1] (numeric) 1.4946806712211256 absolute error 4.440892098500626e-16 relative error 2.971131014139964e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.034690221755513 Order of pole (three term test) 8.892179875223917 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7299999999999998 y[1] (analytic) 1.4979576502146499 y[1] (numeric) 1.4979576502146497 absolute error 2.220446049250313e-16 relative error 1.482315637516277e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0044950727087615504 Order of pole (three term test) -1.4845535045376086 Radius of convergence (six term test) for eq 1 0.23983674731483387 Order of pole (six term test) -12.032947863419865 TOP MAIN SOLVE Loop x[1] -0.7199999999999998 y[1] (analytic) 1.5011583904288923 y[1] (numeric) 1.5011583904288919 absolute error 4.440892098500626e-16 relative error 2.958310146893846e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.002615225211590626 Order of pole (three term test) 0.5415090166129204 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7099999999999997 y[1] (analytic) 1.5042831763100803 y[1] (numeric) 1.50428317631008 absolute error 4.440892098500626e-16 relative error 2.9521649702909514e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.024832964737374074 Order of pole (three term test) -14.955142660241114 Radius of convergence (six term test) for eq 1 0.2201841566731204 Order of pole (six term test) -10.65875131851198 TOP MAIN SOLVE Loop x[1] -0.6999999999999997 y[1] (analytic) 1.507332291708917 y[1] (numeric) 1.5073322917089165 absolute error 4.440892098500626e-16 relative error 2.9461931671787025e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6899999999999997 y[1] (analytic) 1.5103060198814515 y[1] (numeric) 1.5103060198814509 absolute error 6.661338147750939e-16 relative error 4.410588357632189e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0068012182779438385 Order of pole (three term test) -15.966102194740454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6799999999999997 y[1] (analytic) 1.5132046434899518 y[1] (numeric) 1.513204643489951 absolute error 6.661338147750939e-16 relative error 4.402139642122485e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.24715778137088798 Order of pole (six term test) -9.927937303200618 TOP MAIN SOLVE Loop x[1] -0.6699999999999997 y[1] (analytic) 1.5160284446037742 y[1] (numeric) 1.5160284446037735 absolute error 6.661338147750939e-16 relative error 4.393940081706008e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.09211250235304705 Order of pole (six term test) -10.528122094434055 TOP MAIN SOLVE Loop x[1] -0.6599999999999997 y[1] (analytic) 1.5187777047002327 y[1] (numeric) 1.518777704700232 absolute error 6.661338147750939e-16 relative error 4.385986261936677e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01443635529033739 Order of pole (three term test) -29.97891898095019 Radius of convergence (six term test) for eq 1 0.17546116586256555 Order of pole (six term test) -11.436538649281731 TOP MAIN SOLVE Loop x[1] -0.6499999999999997 y[1] (analytic) 1.5214527046654673 y[1] (numeric) 1.521452704665467 absolute error 4.440892098500626e-16 relative error 2.918849915533245e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02495495971430955 Order of pole (three term test) -12.155290980735248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6399999999999997 y[1] (analytic) 1.524053724795312 y[1] (numeric) 1.5240537247953114 absolute error 6.661338147750939e-16 relative error 4.3708027081824755e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6299999999999997 y[1] (analytic) 1.5265810447961596 y[1] (numeric) 1.526581044796159 absolute error 6.661338147750939e-16 relative error 4.363566657963063e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6388746503707191 Order of pole (six term test) -8.82378234375267 TOP MAIN SOLVE Loop x[1] -0.6199999999999997 y[1] (analytic) 1.5290349437858284 y[1] (numeric) 1.5290349437858275 absolute error 8.881784197001252e-16 relative error 5.808751613622587e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0028549868804593733 Order of pole (three term test) -24.828262712936425 Radius of convergence (six term test) for eq 1 0.12007769596677198 Order of pole (six term test) -11.030123324978083 TOP MAIN SOLVE Loop x[1] -0.6099999999999997 y[1] (analytic) 1.5314157002944255 y[1] (numeric) 1.5314157002944246 absolute error 8.881784197001252e-16 relative error 5.799721261375123e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04909868171961587 Order of pole (three term test) -15.432717791622206 Radius of convergence (six term test) for eq 1 0.41258135947916813 Order of pole (six term test) -13.196022117042727 TOP MAIN SOLVE Loop x[1] -0.5999999999999996 y[1] (analytic) 1.5337235922652115 y[1] (numeric) 1.5337235922652108 absolute error 6.661338147750939e-16 relative error 4.343245537426056e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.018059881595905804 Order of pole (three term test) -10.469037748978764 Radius of convergence (six term test) for eq 1 0.16581267459831436 Order of pole (six term test) -11.677922530111543 TOP MAIN SOLVE Loop x[1] -0.5899999999999996 y[1] (analytic) 1.535958897055462 y[1] (numeric) 1.5359588970554614 absolute error 6.661338147750939e-16 relative error 4.3369247448751256e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.21282317206574333 Order of pole (six term test) -11.240500438107766 TOP MAIN SOLVE Loop x[1] -0.5799999999999996 y[1] (analytic) 1.5381218914373291 y[1] (numeric) 1.5381218914373285 absolute error 6.661338147750939e-16 relative error 4.330825914925453e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.005840671150246134 Order of pole (three term test) -0.2826821743049298 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5699999999999996 y[1] (analytic) 1.540212851598702 y[1] (numeric) 1.5402128515987012 absolute error 6.661338147750939e-16 relative error 4.324946477908322e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010409655030027325 Order of pole (three term test) -27.664468467397462 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5599999999999996 y[1] (analytic) 1.5422320531440663 y[1] (numeric) 1.5422320531440656 absolute error 6.661338147750939e-16 relative error 4.3192839457400874e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.051331886120257166 Order of pole (three term test) -67.25555947941875 Radius of convergence (six term test) for eq 1 0.5964465123442596 Order of pole (six term test) -9.717490753346002 TOP MAIN SOLVE Loop x[1] -0.5499999999999996 y[1] (analytic) 1.5441797710953629 y[1] (numeric) 1.5441797710953624 absolute error 4.440892098500626e-16 relative error 2.875890606538954e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.012158768259884004 Order of pole (three term test) -24.939561303833294 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5399999999999996 y[1] (analytic) 1.5460562798928459 y[1] (numeric) 1.5460562798928452 absolute error 6.661338147750939e-16 relative error 4.308600038940771e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.021211311571391524 Order of pole (three term test) -30.496509589117686 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5299999999999996 y[1] (analytic) 1.5478618533959374 y[1] (numeric) 1.5478618533959367 absolute error 6.661338147750939e-16 relative error 4.3035740774515964e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0032692027825479515 Order of pole (three term test) -26.507880490147567 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5199999999999996 y[1] (analytic) 1.5495967648840852 y[1] (numeric) 1.5495967648840847 absolute error 4.440892098500626e-16 relative error 2.865837228843737e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0017548405346389166 Order of pole (three term test) -24.40469965517114 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5099999999999996 y[1] (analytic) 1.5512612870576166 y[1] (numeric) 1.551261287057616 absolute error 6.661338147750939e-16 relative error 4.2941432261137356e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49999999999999956 y[1] (analytic) 1.5528556920385912 y[1] (numeric) 1.5528556920385908 absolute error 4.440892098500626e-16 relative error 2.8598227905328515e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013389431167956918 Order of pole (three term test) -13.482003113429823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48999999999999955 y[1] (analytic) 1.5543802513716556 y[1] (numeric) 1.554380251371655 absolute error 6.661338147750939e-16 relative error 4.285526750531392e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47999999999999954 y[1] (analytic) 1.5558352360248928 y[1] (numeric) 1.5558352360248922 absolute error 6.661338147750939e-16 relative error 4.2815190153235223e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46999999999999953 y[1] (analytic) 1.5572209163906747 y[1] (numeric) 1.5572209163906743 absolute error 4.440892098500626e-16 relative error 2.85180609363617e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.13062878551029794 Order of pole (six term test) -11.82794425985849 TOP MAIN SOLVE Loop x[1] -0.4599999999999995 y[1] (analytic) 1.5585375622865119 y[1] (numeric) 1.5585375622865112 absolute error 6.661338147750939e-16 relative error 4.274095349988337e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0038495745829370495 Order of pole (three term test) -4.059907241821234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4499999999999995 y[1] (analytic) 1.5597854429559002 y[1] (numeric) 1.5597854429559 absolute error 2.220446049250313e-16 relative error 1.423558643451894e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.2657936368586092 Order of pole (six term test) -11.521208598189528 TOP MAIN SOLVE Loop x[1] -0.4399999999999995 y[1] (analytic) 1.5609648270691725 y[1] (numeric) 1.560964827069172 absolute error 4.440892098500626e-16 relative error 2.8449661526574763e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4299999999999995 y[1] (analytic) 1.5620759827243416 y[1] (numeric) 1.5620759827243413 absolute error 2.220446049250313e-16 relative error 1.421471217666211e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.027201798154036047 Order of pole (three term test) -28.706701593657026 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4199999999999995 y[1] (analytic) 1.5631191774479491 y[1] (numeric) 1.5631191774479487 absolute error 4.440892098500626e-16 relative error 2.8410451119607642e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.22360081990065805 Order of pole (six term test) -11.695731403760366 TOP MAIN SOLVE Loop x[1] -0.4099999999999995 y[1] (analytic) 1.5640946781959086 y[1] (numeric) 1.5640946781959082 absolute error 4.440892098500626e-16 relative error 2.8392731977215946e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.19254778035997666 Order of pole (six term test) -11.382253089532039 TOP MAIN SOLVE Loop x[1] -0.39999999999999947 y[1] (analytic) 1.5650027513543512 y[1] (numeric) 1.5650027513543505 absolute error 6.661338147750939e-16 relative error 4.2564386177508165e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03484641356616908 Order of pole (three term test) -9.08376871767622 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38999999999999946 y[1] (analytic) 1.5658436627404668 y[1] (numeric) 1.5658436627404662 absolute error 6.661338147750939e-16 relative error 4.2541527652208743e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03241715285435251 Order of pole (three term test) -13.846679620353417 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37999999999999945 y[1] (analytic) 1.566617677603348 y[1] (numeric) 1.5666176776033474 absolute error 6.661338147750939e-16 relative error 4.25205092664448e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.037018281925515206 Order of pole (three term test) -26.48528527946337 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36999999999999944 y[1] (analytic) 1.56732506062483 y[1] (numeric) 1.5673250606248295 absolute error 4.440892098500626e-16 relative error 2.833421228350818e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.296157852282596 Order of pole (six term test) -10.785336310956225 TOP MAIN SOLVE Loop x[1] -0.35999999999999943 y[1] (analytic) 1.567966075920332 y[1] (numeric) 1.5679660759203313 absolute error 6.661338147750939e-16 relative error 4.248394305240951e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6636214975000041 Order of pole (six term test) -16.36742423360965 TOP MAIN SOLVE Loop x[1] -0.3499999999999994 y[1] (analytic) 1.568540987039695 y[1] (numeric) 1.5685409870396942 absolute error 6.661338147750939e-16 relative error 4.2468371580922936e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3399999999999994 y[1] (analytic) 1.569050056968021 y[1] (numeric) 1.5690500569680201 absolute error 8.881784197001252e-16 relative error 5.660612392547954e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10268528734907482 Order of pole (three term test) -52.742599539737114 Radius of convergence (six term test) for eq 1 0.14460161509009245 Order of pole (six term test) -12.059747951569808 TOP MAIN SOLVE Loop x[1] -0.3299999999999994 y[1] (analytic) 1.56949354812651 y[1] (numeric) 1.5694935481265093 absolute error 6.661338147750939e-16 relative error 4.244259656691496e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.537648165610159 Order of pole (six term test) -15.40558609185122 TOP MAIN SOLVE Loop x[1] -0.3199999999999994 y[1] (analytic) 1.5698717223732972 y[1] (numeric) 1.5698717223732965 absolute error 6.661338147750939e-16 relative error 4.243237235766293e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017147541752471983 Order of pole (three term test) -22.145420927420066 Radius of convergence (six term test) for eq 1 0.02761741130576862 Order of pole (six term test) -11.51202595473985 TOP MAIN SOLVE Loop x[1] -0.3099999999999994 y[1] (analytic) 1.5701848410042876 y[1] (numeric) 1.5701848410042867 absolute error 8.881784197001252e-16 relative error 5.6565214266878784e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.005840721770104782 Order of pole (three term test) -27.893333506669094 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2999999999999994 y[1] (analytic) 1.57043316475399 y[1] (numeric) 1.5704331647539889 absolute error 1.1102230246251565e-15 relative error 7.069533741024083e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.11298647243064473 Order of pole (six term test) -11.501070750056545 TOP MAIN SOLVE Loop x[1] -0.28999999999999937 y[1] (analytic) 1.5706169537963517 y[1] (numeric) 1.5706169537963506 absolute error 1.1102230246251565e-15 relative error 7.068706484681875e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.20460331936387238 Order of pole (six term test) -11.552450999544666 TOP MAIN SOLVE Loop x[1] -0.27999999999999936 y[1] (analytic) 1.5707364677455904 y[1] (numeric) 1.5707364677455895 absolute error 8.881784197001252e-16 relative error 5.6545349136439736e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26999999999999935 y[1] (analytic) 1.5707919656570268 y[1] (numeric) 1.570791965657026 absolute error 8.881784197001252e-16 relative error 5.6543351323332004e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.00885301721420014 Order of pole (three term test) -3.3900190743426455 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25999999999999934 y[1] (analytic) 1.5707837060279137 y[1] (numeric) 1.5707837060279128 absolute error 8.881784197001252e-16 relative error 5.6543648644413794e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.16730781077988127 Order of pole (six term test) -12.391521988853798 TOP MAIN SOLVE Loop x[1] -0.24999999999999933 y[1] (analytic) 1.5707119467982669 y[1] (numeric) 1.570711946798266 absolute error 8.881784197001252e-16 relative error 5.65462318861574e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23999999999999932 y[1] (analytic) 1.5705769453516933 y[1] (numeric) 1.5705769453516925 absolute error 8.881784197001252e-16 relative error 5.6551092407716374e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.023901177822464828 Order of pole (three term test) -52.58804941108879 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22999999999999932 y[1] (analytic) 1.57037895851622 y[1] (numeric) 1.5703789585162191 absolute error 8.881784197001252e-16 relative error 5.655822213380424e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.008078459433241984 Order of pole (three term test) -0.01644053761973435 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2199999999999993 y[1] (analytic) 1.5701182425651194 y[1] (numeric) 1.5701182425651188 absolute error 6.661338147750939e-16 relative error 4.242571016096366e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0033826447080468505 Order of pole (three term test) -1.3265568218530006 Radius of convergence (six term test) for eq 1 1.1427829798907234 Order of pole (six term test) -23.494129285341344 TOP MAIN SOLVE Loop x[1] -0.2099999999999993 y[1] (analytic) 1.569795053217737 y[1] (numeric) 1.5697950532177363 absolute error 6.661338147750939e-16 relative error 4.243444476459937e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1999999999999993 y[1] (analytic) 1.569409645640315 y[1] (numeric) 1.5694096456403142 absolute error 8.881784197001252e-16 relative error 5.6593154130752826e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.006738373875362879 Order of pole (three term test) -1.1462820158248597 Radius of convergence (six term test) for eq 1 0.32885681100318365 Order of pole (six term test) -12.063843950493661 TOP MAIN SOLVE Loop x[1] -0.18999999999999928 y[1] (analytic) 1.568962274446817 y[1] (numeric) 1.5689622744468161 absolute error 8.881784197001252e-16 relative error 5.6609291004991066e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.007996247182526516 Order of pole (three term test) -3.0409463278452193 Radius of convergence (six term test) for eq 1 0.07457708286996918 Order of pole (six term test) -11.214474928489535 TOP MAIN SOLVE Loop x[1] -0.17999999999999927 y[1] (analytic) 1.5684531936997512 y[1] (numeric) 1.5684531936997503 absolute error 8.881784197001252e-16 relative error 5.662766496748574e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.001096622262837862 Order of pole (three term test) -0.9043135566412428 Radius of convergence (six term test) for eq 1 0.21769208238619442 Order of pole (six term test) -12.166586781442941 TOP MAIN SOLVE Loop x[1] -0.16999999999999926 y[1] (analytic) 1.5678826569109927 y[1] (numeric) 1.5678826569109918 absolute error 8.881784197001252e-16 relative error 5.6648271207361554e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.09800582213533084 Order of pole (six term test) -11.820493963175661 TOP MAIN SOLVE Loop x[1] -0.15999999999999925 y[1] (analytic) 1.5672509170426046 y[1] (numeric) 1.5672509170426034 absolute error 1.1102230246251565e-15 relative error 7.083888179948508e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04732705125258562 Order of pole (three term test) 6.523529073776144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14999999999999925 y[1] (analytic) 1.5665582265076572 y[1] (numeric) 1.5665582265076563 absolute error 8.881784197001252e-16 relative error 5.6696163900664556e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13999999999999924 y[1] (analytic) 1.56580483717105 y[1] (numeric) 1.5658048371710493 absolute error 6.661338147750939e-16 relative error 4.2542582508469084e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5177401262149772 Order of pole (six term test) -11.725629841307411 TOP MAIN SOLVE Loop x[1] -0.12999999999999923 y[1] (analytic) 1.5649910003503282 y[1] (numeric) 1.5649910003503276 absolute error 6.661338147750939e-16 relative error 4.256470577952063e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11999999999999923 y[1] (analytic) 1.5641169668165005 y[1] (numeric) 1.5641169668164998 absolute error 6.661338147750939e-16 relative error 4.258849107243548e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10692051404093293 Order of pole (three term test) 49.37208472156119 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10999999999999924 y[1] (analytic) 1.563182986794856 y[1] (numeric) 1.563182986794855 absolute error 8.881784197001252e-16 relative error 5.6818582802084013e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.12016388210103948 Order of pole (six term test) -11.994102202704571 TOP MAIN SOLVE Loop x[1] -0.09999999999999924 y[1] (analytic) 1.5621893099657793 y[1] (numeric) 1.5621893099657784 absolute error 8.881784197001252e-16 relative error 5.685472394633025e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1451077573551001 Order of pole (three term test) -27.76635445416642 Radius of convergence (six term test) for eq 1 0.42310937858623604 Order of pole (six term test) -13.02500681138701 TOP MAIN SOLVE Loop x[1] -0.08999999999999925 y[1] (analytic) 1.5611361854655665 y[1] (numeric) 1.5611361854655657 absolute error 8.881784197001252e-16 relative error 5.689307748864012e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.26643718235938313 Order of pole (six term test) -10.815991450336028 TOP MAIN SOLVE Loop x[1] -0.07999999999999925 y[1] (analytic) 1.5600238618872375 y[1] (numeric) 1.5600238618872366 absolute error 8.881784197001252e-16 relative error 5.693364322169099e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.591719954733098 Order of pole (six term test) -12.62769898014695 TOP MAIN SOLVE Loop x[1] -0.06999999999999926 y[1] (analytic) 1.55885258728135 y[1] (numeric) 1.558852587281349 absolute error 8.881784197001252e-16 relative error 5.697642143630238e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.053459408862305866 Order of pole (three term test) -53.670208763488276 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.059999999999999255 y[1] (analytic) 1.5576226091568106 y[1] (numeric) 1.5576226091568097 absolute error 8.881784197001252e-16 relative error 5.702141291984223e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.04999999999999925 y[1] (analytic) 1.5563341744816863 y[1] (numeric) 1.5563341744816857 absolute error 6.661338147750939e-16 relative error 4.2801464216188643e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15020676885094103 Order of pole (three term test) -136.68989815862545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.03999999999999925 y[1] (analytic) 1.554987529684015 y[1] (numeric) 1.554987529684014 absolute error 8.881784197001252e-16 relative error 5.711804131835126e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04807941832753988 Order of pole (three term test) -11.71337414046965 Radius of convergence (six term test) for eq 1 0.9345367016276219 Order of pole (six term test) -18.347817469549582 TOP MAIN SOLVE Loop x[1] -0.02999999999999925 y[1] (analytic) 1.5535829206526128 y[1] (numeric) 1.553582920652612 absolute error 8.881784197001252e-16 relative error 5.71696822804301e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.019999999999999248 y[1] (analytic) 1.552120592737885 y[1] (numeric) 1.5521205927378838 absolute error 1.1102230246251565e-15 relative error 7.152943075555508e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02424996772812816 Order of pole (three term test) -20.18562950532316 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.009999999999999247 y[1] (analytic) 1.5506007907526307 y[1] (numeric) 1.5506007907526296 absolute error 1.1102230246251565e-15 relative error 7.159953943311717e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017349397590361443 Order of pole (three term test) -17.205282669138093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.528699885739343e-16 y[1] (analytic) 1.549023758972851 y[1] (numeric) 1.5490237589728502 absolute error 8.881784197001252e-16 relative error 5.733794685557769e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.233410303052808 Order of pole (six term test) -12.287094052527811 TOP MAIN SOLVE Loop x[1] 0.010000000000000753 y[1] (analytic) 1.5473897411385544 y[1] (numeric) 1.5473897411385533 absolute error 1.1102230246251565e-15 relative error 7.174811846744345e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.016763074075962656 Order of pole (three term test) -10.349545054865787 Radius of convergence (six term test) for eq 1 0.3603514318833161 Order of pole (six term test) -11.379958606075894 TOP MAIN SOLVE Loop x[1] 0.020000000000000753 y[1] (analytic) 1.5456989804545596 y[1] (numeric) 1.5456989804545587 absolute error 8.881784197001252e-16 relative error 5.746128003778132e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.012442530093199726 Order of pole (three term test) -25.752894469758548 Radius of convergence (six term test) for eq 1 0.23520899718414595 Order of pole (six term test) -11.800564347171587 TOP MAIN SOLVE Loop x[1] 0.030000000000000755 y[1] (analytic) 1.5439517195913013 y[1] (numeric) 1.5439517195913002 absolute error 1.1102230246251565e-15 relative error 7.190788484752898e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.04000000000000076 y[1] (analytic) 1.5421482006856309 y[1] (numeric) 1.54214820068563 absolute error 8.881784197001252e-16 relative error 5.75935840216424e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.05000000000000076 y[1] (analytic) 1.5402886653416203 y[1] (numeric) 1.5402886653416195 absolute error 8.881784197001252e-16 relative error 5.766311469305893e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08294453729254926 Order of pole (three term test) 15.525447938124298 Radius of convergence (six term test) for eq 1 1.8034240074016235 Order of pole (six term test) -18.292620911911072 TOP MAIN SOLVE Loop x[1] 0.06000000000000076 y[1] (analytic) 1.5383733546313612 y[1] (numeric) 1.5383733546313603 absolute error 8.881784197001252e-16 relative error 5.773490661588834e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.07000000000000076 y[1] (analytic) 1.5364025090957651 y[1] (numeric) 1.5364025090957643 absolute error 8.881784197001252e-16 relative error 5.780896701495587e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0012842610693230192 Order of pole (three term test) -0.8573424107672818 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08000000000000075 y[1] (analytic) 1.5343763687453635 y[1] (numeric) 1.5343763687453627 absolute error 8.881784197001252e-16 relative error 5.78853036185884e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.048063550385526774 Order of pole (three term test) -14.521827347064189 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09000000000000075 y[1] (analytic) 1.532295173061105 y[1] (numeric) 1.5322951730611039 absolute error 1.1102230246251565e-15 relative error 7.245490582648223e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.049660446645020395 Order of pole (three term test) -29.510685239530947 Radius of convergence (six term test) for eq 1 0.1595455161880078 Order of pole (six term test) -9.178315768542454 TOP MAIN SOLVE Loop x[1] 0.10000000000000074 y[1] (analytic) 1.530159160995152 y[1] (numeric) 1.5301591609951508 absolute error 1.1102230246251565e-15 relative error 7.255604860759149e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.028062731051312566 Order of pole (three term test) -3.8798862669218286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11000000000000074 y[1] (analytic) 1.5279685709716784 y[1] (numeric) 1.5279685709716773 absolute error 1.1102230246251565e-15 relative error 7.266006943579568e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12000000000000073 y[1] (analytic) 1.525723640887664 y[1] (numeric) 1.525723640887663 absolute error 8.881784197001252e-16 relative error 5.821358441974356e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.309343901720912 Order of pole (six term test) -16.738513281960135 TOP MAIN SOLVE Loop x[1] 0.13000000000000073 y[1] (analytic) 1.5234246081136895 y[1] (numeric) 1.5234246081136884 absolute error 1.1102230246251565e-15 relative error 7.287679473681596e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14000000000000073 y[1] (analytic) 1.5210717094947288 y[1] (numeric) 1.521071709494728 absolute error 8.881784197001252e-16 relative error 5.83916204710139e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5363832217530887 Order of pole (six term test) -10.468658001827848 TOP MAIN SOLVE Loop x[1] 0.15000000000000074 y[1] (analytic) 1.5186651813509433 y[1] (numeric) 1.5186651813509424 absolute error 8.881784197001252e-16 relative error 5.848414980516229e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03203771120602298 Order of pole (three term test) -16.791012062481702 Radius of convergence (six term test) for eq 1 0.2690035242843872 Order of pole (six term test) -11.824278033905554 TOP MAIN SOLVE Loop x[1] 0.16000000000000075 y[1] (analytic) 1.5162052594784723 y[1] (numeric) 1.5162052594784714 absolute error 8.881784197001252e-16 relative error 5.857903566471146e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0158700105969622 Order of pole (three term test) -0.2020487460261393 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000076 y[1] (analytic) 1.5136921791502245 y[1] (numeric) 1.5136921791502236 absolute error 8.881784197001252e-16 relative error 5.867629045944744e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05232538195216467 Order of pole (three term test) -11.328774939763413 Radius of convergence (six term test) for eq 1 1.6470138857062433 Order of pole (six term test) 1.4137378223842276 TOP MAIN SOLVE Loop x[1] 0.18000000000000077 y[1] (analytic) 1.5111261751166674 y[1] (numeric) 1.5111261751166665 absolute error 8.881784197001252e-16 relative error 5.877592714132907e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.39238907751994073 Order of pole (six term test) -12.367761791060916 TOP MAIN SOLVE Loop x[1] 0.19000000000000078 y[1] (analytic) 1.5085074816066164 y[1] (numeric) 1.5085074816066157 absolute error 6.661338147750939e-16 relative error 4.415846940749917e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2000000000000008 y[1] (analytic) 1.5058363323280237 y[1] (numeric) 1.505836332328023 absolute error 6.661338147750939e-16 relative error 4.4236800538957026e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3690408483058056 Order of pole (three term test) -80.73844772427701 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2100000000000008 y[1] (analytic) 1.503112960468764 y[1] (numeric) 1.5031129604687634 absolute error 6.661338147750939e-16 relative error 4.431694970997735e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2200000000000008 y[1] (analytic) 1.5003375986974217 y[1] (numeric) 1.500337598697421 absolute error 6.661338147750939e-16 relative error 4.4398928304764524e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.027409746053534658 Order of pole (three term test) -12.973232669869594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23000000000000081 y[1] (analytic) 1.497510479164076 y[1] (numeric) 1.4975104791640754 absolute error 6.661338147750939e-16 relative error 4.448274813722411e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.40604619799618896 Order of pole (six term test) -9.786447533927326 TOP MAIN SOLVE Loop x[1] 0.24000000000000082 y[1] (analytic) 1.4946318335010855 y[1] (numeric) 1.4946318335010849 absolute error 6.661338147750939e-16 relative error 4.456842145632048e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25000000000000083 y[1] (analytic) 1.4917018928238717 y[1] (numeric) 1.4917018928238708 absolute error 8.881784197001252e-16 relative error 5.954128126892404e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.3736580688675576 Order of pole (six term test) -12.273810933387315 TOP MAIN SOLVE Loop x[1] 0.26000000000000084 y[1] (analytic) 1.4887208877317006 y[1] (numeric) 1.4887208877317 absolute error 6.661338147750939e-16 relative error 4.4745379759536595e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5248509448311569 Order of pole (six term test) -10.863114142575856 TOP MAIN SOLVE Loop x[1] 0.27000000000000085 y[1] (analytic) 1.485689048308467 y[1] (numeric) 1.4856890483084664 absolute error 6.661338147750939e-16 relative error 4.483669146875124e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010698638535881287 Order of pole (three term test) -25.68155513114226 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000086 y[1] (analytic) 1.4826066041234724 y[1] (numeric) 1.4826066041234718 absolute error 6.661338147750939e-16 relative error 4.4929910127367665e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000087 y[1] (analytic) 1.479473784232207 y[1] (numeric) 1.479473784232206 absolute error 8.881784197001252e-16 relative error 6.003340033233894e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.35566989117049636 Order of pole (six term test) -12.14291029385678 TOP MAIN SOLVE Loop x[1] 0.3000000000000009 y[1] (analytic) 1.4762908171771272 y[1] (numeric) 1.4762908171771265 absolute error 6.661338147750939e-16 relative error 4.512212682111199e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.2715306738979026 Order of pole (six term test) -12.05402278479829 TOP MAIN SOLVE Loop x[1] 0.3100000000000009 y[1] (analytic) 1.473057930988435 y[1] (numeric) 1.4730579309884346 absolute error 4.440892098500626e-16 relative error 3.014743687317679e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13783420837952598 Order of pole (three term test) -35.54175270208487 Radius of convergence (six term test) for eq 1 0.6095802912443476 Order of pole (six term test) -13.072534529230449 TOP MAIN SOLVE Loop x[1] 0.3200000000000009 y[1] (analytic) 1.4697753531848559 y[1] (numeric) 1.469775353184855 absolute error 8.881784197001252e-16 relative error 6.042953555967118e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04913103035465564 Order of pole (three term test) -31.283957616290447 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000009 y[1] (analytic) 1.4664433107744113 y[1] (numeric) 1.4664433107744106 absolute error 6.661338147750939e-16 relative error 4.5425132351233996e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000009 y[1] (analytic) 1.4630620302551995 y[1] (numeric) 1.4630620302551987 absolute error 8.881784197001252e-16 relative error 6.070681907760272e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000009 y[1] (analytic) 1.459631737616166 y[1] (numeric) 1.4596317376161652 absolute error 8.881784197001252e-16 relative error 6.084948667604858e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.006948245594844099 Order of pole (three term test) -23.2137680312082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36000000000000093 y[1] (analytic) 1.4561526583378792 y[1] (numeric) 1.4561526583378783 absolute error 8.881784197001252e-16 relative error 6.099486991384087e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08470472230667467 Order of pole (three term test) -17.42868118413932 Radius of convergence (six term test) for eq 1 0.28273853909583674 Order of pole (six term test) -12.111374007916702 TOP MAIN SOLVE Loop x[1] 0.37000000000000094 y[1] (analytic) 1.4526250173933026 y[1] (numeric) 1.4526250173933015 absolute error 1.1102230246251565e-15 relative error 7.642874185227944e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.022944203049660182 Order of pole (three term test) -22.465687067244883 Radius of convergence (six term test) for eq 1 0.9768828322905192 Order of pole (six term test) -9.321524558414174 TOP MAIN SOLVE Loop x[1] 0.38000000000000095 y[1] (analytic) 1.4490490392485662 y[1] (numeric) 1.4490490392485653 absolute error 8.881784197001252e-16 relative error 6.129388279093082e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09450936427303715 Order of pole (three term test) -54.67687265002645 Radius of convergence (six term test) for eq 1 0.5920348897918671 Order of pole (six term test) -10.316947787845557 TOP MAIN SOLVE Loop x[1] 0.39000000000000096 y[1] (analytic) 1.4454249478637387 y[1] (numeric) 1.4454249478637378 absolute error 8.881784197001252e-16 relative error 6.144756398544288e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1164623541887593 Order of pole (three term test) -50.666224814422065 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000097 y[1] (analytic) 1.4417529666935962 y[1] (numeric) 1.4417529666935955 absolute error 6.661338147750939e-16 relative error 4.620304796755531e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.00134715982609412 Order of pole (three term test) -24.95902083490162 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.410000000000001 y[1] (analytic) 1.4380333186883931 y[1] (numeric) 1.4380333186883922 absolute error 8.881784197001252e-16 relative error 6.176341035757213e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.41638716981669116 Order of pole (six term test) -11.58914151479296 TOP MAIN SOLVE Loop x[1] 0.420000000000001 y[1] (analytic) 1.434266226294628 y[1] (numeric) 1.434266226294627 absolute error 8.881784197001252e-16 relative error 6.192563161685124e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3351168572849331 Order of pole (three term test) -79.6645947289906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.430000000000001 y[1] (analytic) 1.4304519114558134 y[1] (numeric) 1.4304519114558125 absolute error 8.881784197001252e-16 relative error 6.20907569549961e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.440000000000001 y[1] (analytic) 1.4265905956132414 y[1] (numeric) 1.4265905956132403 absolute error 1.1102230246251565e-15 relative error 7.782352049979065e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09394076552199154 Order of pole (three term test) -42.60232583882712 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.450000000000001 y[1] (analytic) 1.4226824997067484 y[1] (numeric) 1.4226824997067475 absolute error 8.881784197001252e-16 relative error 6.24298408030746e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.39180057086916614 Order of pole (six term test) -11.70687432793822 TOP MAIN SOLVE Loop x[1] 0.460000000000001 y[1] (analytic) 1.418727844175482 y[1] (numeric) 1.4187278441754811 absolute error 8.881784197001252e-16 relative error 6.260386185740263e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.47000000000000103 y[1] (analytic) 1.4147268489586629 y[1] (numeric) 1.414726848958662 absolute error 8.881784197001252e-16 relative error 6.278091211415731e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5732415091826468 Order of pole (six term test) -9.69778839361857 TOP MAIN SOLVE Loop x[1] 0.48000000000000104 y[1] (analytic) 1.4106797334963486 y[1] (numeric) 1.4106797334963475 absolute error 1.1102230246251565e-15 relative error 7.870128125208728e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.2983652529814153 Order of pole (six term test) -12.310292038023135 TOP MAIN SOLVE Loop x[1] 0.49000000000000105 y[1] (analytic) 1.4065867167301955 y[1] (numeric) 1.4065867167301944 absolute error 1.1102230246251565e-15 relative error 7.893029355531118e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.500000000000001 y[1] (analytic) 1.4024480171042206 y[1] (numeric) 1.4024480171042195 absolute error 1.1102230246251565e-15 relative error 7.916322110230858e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08004948606480175 Order of pole (three term test) -37.34930997545095 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.510000000000001 y[1] (analytic) 1.3982638525655613 y[1] (numeric) 1.39826385256556 absolute error 1.3322676295501878e-15 relative error 9.528013093563977e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.049228115597538195 Order of pole (three term test) -30.754634681912368 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.520000000000001 y[1] (analytic) 1.3940344405652345 y[1] (numeric) 1.3940344405652332 absolute error 1.3322676295501878e-15 relative error 9.556920480458128e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6234363971615912 Order of pole (six term test) -11.65872220205096 TOP MAIN SOLVE Loop x[1] 0.530000000000001 y[1] (analytic) 1.389759998058896 y[1] (numeric) 1.3897599980588948 absolute error 1.1102230246251565e-15 relative error 7.988595341467779e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.006596067398718864 Order of pole (three term test) -0.8444054163420697 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.540000000000001 y[1] (analytic) 1.385440741507598 y[1] (numeric) 1.3854407415075969 absolute error 1.1102230246251565e-15 relative error 8.013500623758493e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.3624709308545382 Order of pole (six term test) -11.31456767626039 TOP MAIN SOLVE Loop x[1] 0.550000000000001 y[1] (analytic) 1.3810768868785455 y[1] (numeric) 1.3810768868785446 absolute error 8.881784197001252e-16 relative error 6.431057011659578e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3105466566491361 Order of pole (three term test) -32.630390683696476 Radius of convergence (six term test) for eq 1 0.28008226678677356 Order of pole (six term test) -12.04365379582931 TOP MAIN SOLVE Loop x[1] 0.560000000000001 y[1] (analytic) 1.3766686496458533 y[1] (numeric) 1.3766686496458522 absolute error 1.1102230246251565e-15 relative error 8.064562412391394e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8943545926151835 Order of pole (three term test) 645.4299664327098 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000011 y[1] (analytic) 1.3722162447912993 y[1] (numeric) 1.3722162447912982 absolute error 1.1102230246251565e-15 relative error 8.090729349979461e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.026792732176576024 Order of pole (three term test) -28.072979355634665 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000011 y[1] (analytic) 1.3677198868050802 y[1] (numeric) 1.3677198868050793 absolute error 8.881784197001252e-16 relative error 6.493861998123476e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20370890954432092 Order of pole (three term test) -70.05763999093175 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000011 y[1] (analytic) 1.363179789686565 y[1] (numeric) 1.3631797896865636 absolute error 1.3322676295501878e-15 relative error 9.773234899972477e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.015955820333655918 Order of pole (three term test) -10.894285321092768 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000011 y[1] (analytic) 1.3585961669450446 y[1] (numeric) 1.3585961669450437 absolute error 8.881784197001252e-16 relative error 6.537471850058975e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000011 y[1] (analytic) 1.3539692316004888 y[1] (numeric) 1.3539692316004879 absolute error 8.881784197001252e-16 relative error 6.559812431263558e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03245251323252655 Order of pole (three term test) -11.267219067891022 Radius of convergence (six term test) for eq 1 0.1309929713922794 Order of pole (six term test) -11.618366109797794 TOP MAIN SOLVE Loop x[1] 0.6200000000000011 y[1] (analytic) 1.3492991961842915 y[1] (numeric) 1.3492991961842904 absolute error 1.1102230246251565e-15 relative error 8.228145601544691e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.011686406436957007 Order of pole (three term test) 7.348076022681947 Radius of convergence (six term test) for eq 1 0.29816252442789404 Order of pole (six term test) -9.09893238731716 TOP MAIN SOLVE Loop x[1] 0.6300000000000011 y[1] (analytic) 1.344586272740023 y[1] (numeric) 1.3445862727400222 absolute error 8.881784197001252e-16 relative error 6.605588928780141e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.25344718855537507 Order of pole (six term test) -12.03444148806884 TOP MAIN SOLVE Loop x[1] 0.6400000000000011 y[1] (analytic) 1.33983067282418 y[1] (numeric) 1.339830672824179 absolute error 1.1102230246251565e-15 relative error 8.286293538010726e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2695287958115181 Order of pole (three term test) -81.52620138369478 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000011 y[1] (analytic) 1.3350326075069308 y[1] (numeric) 1.3350326075069299 absolute error 8.881784197001252e-16 relative error 6.652859373665255e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22230510599848793 Order of pole (three term test) -58.12396198929259 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000011 y[1] (analytic) 1.3301922873728653 y[1] (numeric) 1.3301922873728649 absolute error 4.440892098500626e-16 relative error 3.3385339402857346e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.007699000355478758 Order of pole (three term test) -26.8320042067643 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000012 y[1] (analytic) 1.325309922521741 y[1] (numeric) 1.3253099225217402 absolute error 8.881784197001252e-16 relative error 6.701665811194854e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06648811161940564 Order of pole (three term test) -3.360519879740163 Radius of convergence (six term test) for eq 1 0.939841624010515 Order of pole (six term test) -12.756039632077153 TOP MAIN SOLVE Loop x[1] 0.6800000000000012 y[1] (analytic) 1.320385722569226 y[1] (numeric) 1.3203857225692248 absolute error 1.1102230246251565e-15 relative error 8.408323459184853e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.028450705924214916 Order of pole (three term test) -1.8482217705701065 Radius of convergence (six term test) for eq 1 0.5618994492272449 Order of pole (six term test) -12.415466977125691 TOP MAIN SOLVE Loop x[1] 0.6900000000000012 y[1] (analytic) 1.3154198966476451 y[1] (numeric) 1.3154198966476445 absolute error 6.661338147750939e-16 relative error 5.06403937231556e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000012 y[1] (analytic) 1.3104126534067266 y[1] (numeric) 1.3104126534067257 absolute error 8.881784197001252e-16 relative error 6.777852895353964e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6925730233331651 Order of pole (six term test) -11.074988401675075 TOP MAIN SOLVE Loop x[1] 0.7100000000000012 y[1] (analytic) 1.3053642010143391 y[1] (numeric) 1.3053642010143385 absolute error 6.661338147750939e-16 relative error 5.103049511067269e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000012 y[1] (analytic) 1.3002747471572396 y[1] (numeric) 1.3002747471572385 absolute error 1.1102230246251565e-15 relative error 8.538372578967725e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03789753376704166 Order of pole (three term test) -32.56610274037599 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000012 y[1] (analytic) 1.2951444990418088 y[1] (numeric) 1.2951444990418082 absolute error 6.661338147750939e-16 relative error 5.143316558638221e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017962972254277253 Order of pole (three term test) -0.14773978036726754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000012 y[1] (analytic) 1.289973663394798 y[1] (numeric) 1.2899736633947971 absolute error 8.881784197001252e-16 relative error 6.885244597651116e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000012 y[1] (analytic) 1.284762446464062 y[1] (numeric) 1.2847624464640612 absolute error 6.661338147750939e-16 relative error 5.1848792483656034e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.022859468810420266 Order of pole (three term test) -24.17711407347105 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000012 y[1] (analytic) 1.2795110540193024 y[1] (numeric) 1.2795110540193018 absolute error 6.661338147750939e-16 relative error 5.2061591236947984e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000012 y[1] (analytic) 1.274219691352803 y[1] (numeric) 1.2742196913528023 absolute error 6.661338147750939e-16 relative error 5.22777837523354e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0455659229208925 Order of pole (three term test) -42.545240509997114 Radius of convergence (six term test) for eq 1 0.5916125675728146 Order of pole (six term test) -11.274543810702168 TOP MAIN SOLVE Loop x[1] 0.7800000000000012 y[1] (analytic) 1.2688885632801674 y[1] (numeric) 1.2688885632801665 absolute error 8.881784197001252e-16 relative error 6.999656592412817e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.25431744655164495 Order of pole (six term test) -9.07817061526321 TOP MAIN SOLVE Loop x[1] 0.7900000000000013 y[1] (analytic) 1.263517874141054 y[1] (numeric) 1.2635178741410535 absolute error 4.440892098500626e-16 relative error 3.514704611139409e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000013 y[1] (analytic) 1.2581078277999143 y[1] (numeric) 1.2581078277999131 absolute error 1.1102230246251565e-15 relative error 8.824545878286381e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2072290988355125 Order of pole (six term test) -14.86107482795224 TOP MAIN SOLVE Loop x[1] 0.8100000000000013 y[1] (analytic) 1.2526586276467213 y[1] (numeric) 1.2526586276467204 absolute error 8.881784197001252e-16 relative error 7.090346883800909e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000013 y[1] (analytic) 1.2471704765977103 y[1] (numeric) 1.247170476597709 absolute error 1.3322676295501878e-15 relative error 1.0682321739884536e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09312936410639092 Order of pole (three term test) -17.15456265657481 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000013 y[1] (analytic) 1.2416435770961036 y[1] (numeric) 1.241643577096103 absolute error 6.661338147750939e-16 relative error 5.3649358564960786e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000013 y[1] (analytic) 1.2360781311128506 y[1] (numeric) 1.2360781311128497 absolute error 8.881784197001252e-16 relative error 7.1854553312135e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12798430657478696 Order of pole (three term test) -56.910732456859996 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000013 y[1] (analytic) 1.230474340147351 y[1] (numeric) 1.2304743401473501 absolute error 8.881784197001252e-16 relative error 7.218179125895178e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.4694089154632625 Order of pole (six term test) -11.424162082512076 TOP MAIN SOLVE Loop x[1] 0.8600000000000013 y[1] (analytic) 1.2248324052281894 y[1] (numeric) 1.2248324052281885 absolute error 8.881784197001252e-16 relative error 7.251428161999481e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.4325077853689004 Order of pole (six term test) -11.912816241088073 TOP MAIN SOLVE Loop x[1] 0.8700000000000013 y[1] (analytic) 1.2191525269138634 y[1] (numeric) 1.2191525269138621 absolute error 1.3322676295501878e-15 relative error 1.0927817480907508e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1381034142057306 Order of pole (three term test) -18.283346141179052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000013 y[1] (analytic) 1.2134349052935105 y[1] (numeric) 1.2134349052935094 absolute error 1.1102230246251565e-15 relative error 9.149423836267603e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.037158802238614924 Order of pole (three term test) -8.37953364814676 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000013 y[1] (analytic) 1.2076797399876378 y[1] (numeric) 1.2076797399876371 absolute error 6.661338147750939e-16 relative error 5.515815101625475e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40806539509536793 Order of pole (three term test) -144.77111716621258 Radius of convergence (six term test) for eq 1 0.6963710165465059 Order of pole (six term test) -11.330695768753733 TOP MAIN SOLVE Loop x[1] 0.9000000000000014 y[1] (analytic) 1.2018872301488477 y[1] (numeric) 1.201887230148847 absolute error 6.661338147750939e-16 relative error 5.542398638286527e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0855014917676526 Order of pole (three term test) -20.990625805738702 Radius of convergence (six term test) for eq 1 0.7777933034201848 Order of pole (six term test) -10.348484834191119 TOP MAIN SOLVE Loop x[1] 0.9100000000000014 y[1] (analytic) 1.1960575744625628 y[1] (numeric) 1.1960575744625621 absolute error 6.661338147750939e-16 relative error 5.569412618572437e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000014 y[1] (analytic) 1.1901909711477519 y[1] (numeric) 1.190190971147751 absolute error 8.881784197001252e-16 relative error 7.462486619635645e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.3856911873922156 Order of pole (six term test) -11.247779055302544 TOP MAIN SOLVE Loop x[1] 0.9300000000000014 y[1] (analytic) 1.1842876179576531 y[1] (numeric) 1.184287617957652 absolute error 1.1102230246251565e-15 relative error 9.374606369184003e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3212070113157315 Order of pole (three term test) -122.53516751719562 Radius of convergence (six term test) for eq 1 0.5167724579093942 Order of pole (six term test) -11.74008886756708 TOP MAIN SOLVE Loop x[1] 0.9400000000000014 y[1] (analytic) 1.1783477121804977 y[1] (numeric) 1.1783477121804966 absolute error 1.1102230246251565e-15 relative error 9.421862605993621e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000014 y[1] (analytic) 1.1723714506402325 y[1] (numeric) 1.1723714506402318 absolute error 6.661338147750939e-16 relative error 5.6819348032683494e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.002099648755497044 Order of pole (three term test) -0.9073729731691205 Radius of convergence (six term test) for eq 1 0.5371296764232122 Order of pole (six term test) -11.788977074757414 TOP MAIN SOLVE Loop x[1] 0.9600000000000014 y[1] (analytic) 1.1663590296972424 y[1] (numeric) 1.1663590296972415 absolute error 8.881784197001252e-16 relative error 7.614965864590375e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000014 y[1] (analytic) 1.160310645249068 y[1] (numeric) 1.1603106452490668 absolute error 1.1102230246251565e-15 relative error 9.568325768370764e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04576405580917886 Order of pole (three term test) -34.70115440124985 Radius of convergence (six term test) for eq 1 0.216431379666065 Order of pole (six term test) -11.474868375871853 TOP MAIN SOLVE Loop x[1] 0.9800000000000014 y[1] (analytic) 1.1542264927311279 y[1] (numeric) 1.1542264927311268 absolute error 1.1102230246251565e-15 relative error 9.618762276008321e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.367825917322586 Order of pole (six term test) -14.327885404797403 TOP MAIN SOLVE Loop x[1] 0.9900000000000014 y[1] (analytic) 1.1481067671174376 y[1] (numeric) 1.1481067671174368 absolute error 8.881784197001252e-16 relative error 7.736026344745647e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.31083373287932775 Order of pole (six term test) -12.014399859293514 TOP MAIN SOLVE Loop x[1] 1.0000000000000013 y[1] (analytic) 1.1419516629213278 y[1] (numeric) 1.1419516629213264 absolute error 1.3322676295501878e-15 relative error 1.1666585134978445e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0100000000000013 y[1] (analytic) 1.1357613741961585 y[1] (numeric) 1.1357613741961576 absolute error 8.881784197001252e-16 relative error 7.820114681472933e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.820748663101604 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.027252489511196482 Order of pole (three term test) -32.92237021685286 Radius of convergence (six term test) for eq 1 0.4058286017060889 Order of pole (six term test) -11.761608137197035 TOP MAIN SOLVE Loop x[1] 1.0200000000000014 y[1] (analytic) 1.1295360945360415 y[1] (numeric) 1.1295360945360404 absolute error 1.1102230246251565e-15 relative error 9.829017682530828e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02985889897401871 Order of pole (three term test) -24.677972943379824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0300000000000014 y[1] (analytic) 1.12327601707655 y[1] (numeric) 1.1232760170765486 absolute error 1.3322676295501878e-15 relative error 1.1860554389984766e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400000000000014 y[1] (analytic) 1.1169813344954358 y[1] (numeric) 1.1169813344954351 absolute error 6.661338147750939e-16 relative error 5.963696923154054e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.061089129104629825 Order of pole (three term test) -6.078217417907406 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0500000000000014 y[1] (analytic) 1.1106522390133462 y[1] (numeric) 1.1106522390133453 absolute error 8.881784197001252e-16 relative error 7.996908379612535e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0158139534883714 Order of pole (three term test) 146.92005813953477 Radius of convergence (six term test) for eq 1 0.6938286109197869 Order of pole (six term test) -12.254334422075221 TOP MAIN SOLVE Loop x[1] 1.0600000000000014 y[1] (analytic) 1.1042889223945316 y[1] (numeric) 1.1042889223945305 absolute error 1.1102230246251565e-15 relative error 1.0053736862792732e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08408796443118025 Order of pole (three term test) -35.60301829149608 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0700000000000014 y[1] (analytic) 1.0978915759475611 y[1] (numeric) 1.0978915759475598 absolute error 1.3322676295501878e-15 relative error 1.2134783240324464e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.036478938699564596 Order of pole (three term test) -12.734038936427725 Radius of convergence (six term test) for eq 1 0.4223233700439649 Order of pole (six term test) -11.987365472899514 TOP MAIN SOLVE Loop x[1] 1.0800000000000014 y[1] (analytic) 1.0914603905260334 y[1] (numeric) 1.0914603905260323 absolute error 1.1102230246251565e-15 relative error 1.0171903939547274e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0900000000000014 y[1] (analytic) 1.0849955565292875 y[1] (numeric) 1.0849955565292868 absolute error 6.661338147750939e-16 relative error 6.139507307347326e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.030066754780746514 Order of pole (three term test) -22.978534740927877 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000000000000014 y[1] (analytic) 1.0784972639031132 y[1] (numeric) 1.0784972639031123 absolute error 8.881784197001252e-16 relative error 8.235333082680076e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0521907434132044 Order of pole (three term test) -27.31586859407442 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000014 y[1] (analytic) 1.0719657021404574 y[1] (numeric) 1.0719657021404565 absolute error 8.881784197001252e-16 relative error 8.285511541336134e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000014 y[1] (analytic) 1.0654010602821349 y[1] (numeric) 1.0654010602821338 absolute error 1.1102230246251565e-15 relative error 1.0420705084817093e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.43183130614658644 Order of pole (six term test) -11.548784103710023 TOP MAIN SOLVE Loop x[1] 1.1300000000000014 y[1] (analytic) 1.0588035269175342 y[1] (numeric) 1.058803526917533 absolute error 1.1102230246251565e-15 relative error 1.0485637763762636e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1834277215595929 Order of pole (three term test) -39.38934414277799 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000015 y[1] (analytic) 1.0521732901853247 y[1] (numeric) 1.0521732901853238 absolute error 8.881784197001252e-16 relative error 8.441370142970326e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000015 y[1] (analytic) 1.0455105377741625 y[1] (numeric) 1.0455105377741616 absolute error 8.881784197001252e-16 relative error 8.49516468376312e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.027246704940567638 Order of pole (three term test) -15.836790594785661 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000015 y[1] (analytic) 1.0388154569233947 y[1] (numeric) 1.0388154569233934 absolute error 1.3322676295501878e-15 relative error 1.2824872990395185e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700000000000015 y[1] (analytic) 1.0320882344237616 y[1] (numeric) 1.0320882344237607 absolute error 8.881784197001252e-16 relative error 8.605644266413089e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000015 y[1] (analytic) 1.025329056618105 y[1] (numeric) 1.0253290566181037 absolute error 1.3322676295501878e-15 relative error 1.299356163712432e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900000000000015 y[1] (analytic) 1.018538109402063 y[1] (numeric) 1.0185381094020622 absolute error 6.661338147750939e-16 relative error 6.540097111988776e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0927641618322415 Order of pole (six term test) -12.322374697252013 TOP MAIN SOLVE Loop x[1] 1.2000000000000015 y[1] (analytic) 1.0117155782247798 y[1] (numeric) 1.0117155782247786 absolute error 1.1102230246251565e-15 relative error 1.0973667387559893e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.583812230306815 Order of pole (six term test) -11.419346201331383 TOP MAIN SOLVE Loop x[1] 1.2100000000000015 y[1] (analytic) 1.0048616480895984 y[1] (numeric) 1.0048616480895975 absolute error 8.881784197001252e-16 relative error 8.83881299867194e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000015 y[1] (analytic) 0.9979765035547667 y[1] (numeric) 0.997976503554766 absolute error 7.771561172376096e-16 relative error 7.787318784253932e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.5452521511079285 Order of pole (six term test) -27.741656653437005 TOP MAIN SOLVE Loop x[1] 1.2300000000000015 y[1] (analytic) 0.9910603287341335 y[1] (numeric) 0.9910603287341323 absolute error 1.2212453270876722e-15 relative error 1.2322613383663036e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09196469639137397 Order of pole (three term test) -32.68255349122828 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000015 y[1] (analytic) 0.9841133072978452 y[1] (numeric) 0.9841133072978444 absolute error 7.771561172376096e-16 relative error 7.897018681431169e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.014600496851349008 Order of pole (three term test) -31.780466448090593 Radius of convergence (six term test) for eq 1 0.3984496122472204 Order of pole (six term test) -11.627431687074422 TOP MAIN SOLVE Loop x[1] 1.2500000000000016 y[1] (analytic) 0.9771356224730476 y[1] (numeric) 0.9771356224730471 absolute error 5.551115123125783e-16 relative error 5.6810078309051713e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27686323884710906 Order of pole (three term test) -70.53857599661411 Radius of convergence (six term test) for eq 1 2.7491134653059 Order of pole (six term test) -1.9265215926885073 TOP MAIN SOLVE Loop x[1] 1.2600000000000016 y[1] (analytic) 0.9701274570445799 y[1] (numeric) 0.9701274570445786 absolute error 1.3322676295501878e-15 relative error 1.3732913339128042e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05303246010249448 Order of pole (three term test) -30.311858599312703 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2700000000000016 y[1] (analytic) 0.9630889933556673 y[1] (numeric) 0.9630889933556662 absolute error 1.1102230246251565e-15 relative error 1.1527730378859731e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.00644594572782852 Order of pole (three term test) -25.13554547459904 Radius of convergence (six term test) for eq 1 0.5526683720555187 Order of pole (six term test) -11.70414134655158 TOP MAIN SOLVE Loop x[1] 1.2800000000000016 y[1] (analytic) 0.9560204133086223 y[1] (numeric) 0.9560204133086212 absolute error 1.1102230246251565e-15 relative error 1.1612963584981052e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2900000000000016 y[1] (analytic) 0.9489218983655342 y[1] (numeric) 0.948921898365533 absolute error 1.2212453270876722e-15 relative error 1.2869819204206375e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3000000000000016 y[1] (analytic) 0.9417936295489632 y[1] (numeric) 0.9417936295489624 absolute error 7.771561172376096e-16 relative error 8.251872733624237e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11757275196850978 Order of pole (three term test) -29.392852947721668 Radius of convergence (six term test) for eq 1 0.2880965095324827 Order of pole (six term test) -11.48460544247181 TOP MAIN SOLVE Loop x[1] 1.3100000000000016 y[1] (analytic) 0.9346357874426354 y[1] (numeric) 0.9346357874426339 absolute error 1.5543122344752192e-15 relative error 1.663013823521729e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3200000000000016 y[1] (analytic) 0.9274485521921283 y[1] (numeric) 0.9274485521921273 absolute error 9.992007221626409e-16 relative error 1.077365121548703e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.49963595263026067 Order of pole (six term test) -11.365763330332413 TOP MAIN SOLVE Loop x[1] 1.3300000000000016 y[1] (analytic) 0.9202321035055697 y[1] (numeric) 0.9202321035055688 absolute error 8.881784197001252e-16 relative error 9.651678270260972e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10806423864129165 Order of pole (three term test) -35.970859429985154 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3400000000000016 y[1] (analytic) 0.912986620654322 y[1] (numeric) 0.9129866206543207 absolute error 1.3322676295501878e-15 relative error 1.4592411316995798e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08876503104995863 Order of pole (three term test) -27.321715421826063 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3500000000000016 y[1] (analytic) 0.905712282473672 y[1] (numeric) 0.9057122824736705 absolute error 1.4432899320127035e-15 relative error 1.5935413043873106e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14859409260760154 Order of pole (three term test) -46.09400406436661 Radius of convergence (six term test) for eq 1 0.683520018457331 Order of pole (six term test) -10.672801122225867 TOP MAIN SOLVE Loop x[1] 1.3600000000000017 y[1] (analytic) 0.898409267363521 y[1] (numeric) 0.8984092673635197 absolute error 1.3322676295501878e-15 relative error 1.482918395821841e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5884992309633628 Order of pole (six term test) -11.625859881469221 TOP MAIN SOLVE Loop x[1] 1.3700000000000017 y[1] (analytic) 0.8910777532890718 y[1] (numeric) 0.8910777532890708 absolute error 9.992007221626409e-16 relative error 1.1213395446968288e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1443920535152681 Order of pole (three term test) -33.86356843443966 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3800000000000017 y[1] (analytic) 0.8837179177815153 y[1] (numeric) 0.8837179177815143 absolute error 9.992007221626409e-16 relative error 1.1306783556805473e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3900000000000017 y[1] (analytic) 0.8763299379387162 y[1] (numeric) 0.8763299379387148 absolute error 1.3322676295501878e-15 relative error 1.5202808575545397e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07974903666956276 Order of pole (three term test) -33.59796539969094 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4000000000000017 y[1] (analytic) 0.8689139904258971 y[1] (numeric) 0.8689139904258958 absolute error 1.3322676295501878e-15 relative error 1.533256046317287e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4100000000000017 y[1] (analytic) 0.861470251476325 y[1] (numeric) 0.8614702514763241 absolute error 9.992007221626409e-16 relative error 1.1598783828580074e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03210612512283 Order of pole (three term test) -17.72799551670488 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4200000000000017 y[1] (analytic) 0.8539988968919947 y[1] (numeric) 0.8539988968919933 absolute error 1.4432899320127035e-15 relative error 1.6900372322087863e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5404262807913335 Order of pole (six term test) -11.633610277844305 TOP MAIN SOLVE Loop x[1] 1.4300000000000017 y[1] (analytic) 0.8465001020443084 y[1] (numeric) 0.8465001020443066 absolute error 1.7763568394002505e-15 relative error 2.0984720912736176e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09230131923881257 Order of pole (three term test) -31.724184496400948 Radius of convergence (six term test) for eq 1 0.5183549780718717 Order of pole (six term test) -10.878079025308136 TOP MAIN SOLVE Loop x[1] 1.4400000000000017 y[1] (analytic) 0.83897404187476 y[1] (numeric) 0.8389740418747584 absolute error 1.5543122344752192e-15 relative error 1.8526344760345315e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1753753415540951 Order of pole (three term test) -3.596023894388594 Radius of convergence (six term test) for eq 1 0.7493364030396852 Order of pole (six term test) -12.539352644887147 TOP MAIN SOLVE Loop x[1] 1.4500000000000017 y[1] (analytic) 0.8314208908956169 y[1] (numeric) 0.8314208908956159 absolute error 9.992007221626409e-16 relative error 1.2017989120844553e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6397227001684924 Order of pole (six term test) -12.239677377130677 TOP MAIN SOLVE Loop x[1] 1.4600000000000017 y[1] (analytic) 0.8238408231905998 y[1] (numeric) 0.8238408231905985 absolute error 1.3322676295501878e-15 relative error 1.6171420401219435e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21245064428419436 Order of pole (three term test) 7.430163139851047 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4700000000000017 y[1] (analytic) 0.8162340124155594 y[1] (numeric) 0.816234012415558 absolute error 1.3322676295501878e-15 relative error 1.6322128326991434e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4800000000000018 y[1] (analytic) 0.8086006317991582 y[1] (numeric) 0.8086006317991573 absolute error 8.881784197001252e-16 relative error 1.0984142044557946e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.38194047883412 Order of pole (six term test) -11.921502268980475 TOP MAIN SOLVE Loop x[1] 1.4900000000000018 y[1] (analytic) 0.8009408541435482 y[1] (numeric) 0.8009408541435474 absolute error 7.771561172376096e-16 relative error 9.703040033694225e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03438586644556413 Order of pole (three term test) -31.202819057337834 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5000000000000018 y[1] (analytic) 0.7932548518250466 y[1] (numeric) 0.7932548518250455 absolute error 1.1102230246251565e-15 relative error 1.3995792424979932e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6381706427752887 Order of pole (three term test) -286.9406448588394 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100000000000018 y[1] (analytic) 0.7855427967948116 y[1] (numeric) 0.7855427967948104 absolute error 1.2212453270876722e-15 relative error 1.55465155058467e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10559560277243327 Order of pole (three term test) -31.174526643643205 Radius of convergence (six term test) for eq 1 4.196406322699124 Order of pole (six term test) 29.795097839501068 TOP MAIN SOLVE Loop x[1] 1.5200000000000018 y[1] (analytic) 0.7778048605795193 y[1] (numeric) 0.7778048605795186 absolute error 6.661338147750939e-16 relative error 8.564279403946865e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6062018157545865 Order of pole (six term test) -11.801165754134878 TOP MAIN SOLVE Loop x[1] 1.5300000000000018 y[1] (analytic) 0.7700412142820391 y[1] (numeric) 0.7700412142820383 absolute error 7.771561172376096e-16 relative error 1.0092396391564628e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05541406082537138 Order of pole (three term test) -26.129747397308513 Radius of convergence (six term test) for eq 1 1.9453230995593571 Order of pole (six term test) -8.88179876693994 TOP MAIN SOLVE Loop x[1] 1.5400000000000018 y[1] (analytic) 0.7622520285821048 y[1] (numeric) 0.762252028582104 absolute error 8.881784197001252e-16 relative error 1.1652030908363224e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5500000000000018 y[1] (analytic) 0.7544374737369896 y[1] (numeric) 0.7544374737369887 absolute error 8.881784197001252e-16 relative error 1.1772724057577237e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6787173613653158 Order of pole (six term test) -12.140593289760009 TOP MAIN SOLVE Loop x[1] 1.5600000000000018 y[1] (analytic) 0.7465977195821784 y[1] (numeric) 0.7465977195821768 absolute error 1.5543122344752192e-15 relative error 2.0818604098403428e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5700000000000018 y[1] (analytic) 0.7387329355320364 y[1] (numeric) 0.7387329355320352 absolute error 1.2212453270876722e-15 relative error 1.6531621487921472e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10760146609834205 Order of pole (three term test) -23.426205468115988 Radius of convergence (six term test) for eq 1 3.3302711738017114 Order of pole (six term test) 16.958222105788458 TOP MAIN SOLVE Loop x[1] 1.5800000000000018 y[1] (analytic) 0.7308432905804857 y[1] (numeric) 0.7308432905804843 absolute error 1.4432899320127035e-15 relative error 1.9748281890449374e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.032353882265014657 Order of pole (three term test) -1.3039394859458386 Radius of convergence (six term test) for eq 1 1.1036257063585488 Order of pole (six term test) -12.089539073828796 TOP MAIN SOLVE Loop x[1] 1.5900000000000019 y[1] (analytic) 0.7229289533016684 y[1] (numeric) 0.7229289533016672 absolute error 1.2212453270876722e-15 relative error 1.689302000577176e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000019 y[1] (analytic) 0.7149900918506207 y[1] (numeric) 0.7149900918506195 absolute error 1.2212453270876722e-15 relative error 1.7080590920172093e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7671856002997767 Order of pole (six term test) -11.613697991047658 TOP MAIN SOLVE Loop x[1] 1.6100000000000019 y[1] (analytic) 0.707026873963938 y[1] (numeric) 0.707026873963937 absolute error 9.992007221626409e-16 relative error 1.4132429175720485e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.9696381473269544 Order of pole (six term test) -13.144259638260605 TOP MAIN SOLVE Loop x[1] 1.6200000000000019 y[1] (analytic) 0.6990394669604443 y[1] (numeric) 0.6990394669604437 absolute error 5.551115123125783e-16 relative error 7.941061106696995e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.028316561272295634 Order of pole (three term test) -3.1115307044265634 Radius of convergence (six term test) for eq 1 0.6216004642647716 Order of pole (six term test) -11.400792929011462 TOP MAIN SOLVE Loop x[1] 1.630000000000002 y[1] (analytic) 0.6910280377418596 y[1] (numeric) 0.6910280377418578 absolute error 1.7763568394002505e-15 relative error 2.570600239615496e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.8611764705882354 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.08600503840057581 Order of pole (three term test) -23.53492395909335 Radius of convergence (six term test) for eq 1 0.26063605015044433 Order of pole (six term test) -11.387611060208622 TOP MAIN SOLVE Loop x[1] 1.640000000000002 y[1] (analytic) 0.6829927527934596 y[1] (numeric) 0.6829927527934584 absolute error 1.2212453270876722e-15 relative error 1.7880794812137382e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.650000000000002 y[1] (analytic) 0.6749337781847505 y[1] (numeric) 0.6749337781847496 absolute error 8.881784197001252e-16 relative error 1.3159489840453695e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11104241578628887 Order of pole (three term test) -32.302962236110865 Radius of convergence (six term test) for eq 1 1.0370075740761464 Order of pole (six term test) -12.392576999003845 TOP MAIN SOLVE Loop x[1] 1.660000000000002 y[1] (analytic) 0.6668512795701272 y[1] (numeric) 0.6668512795701259 absolute error 1.3322676295501878e-15 relative error 1.9978482014895562e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.025915817932390513 Order of pole (three term test) -2.614426768924413 Radius of convergence (six term test) for eq 1 0.6949520505485497 Order of pole (six term test) -11.549242988300396 TOP MAIN SOLVE Loop x[1] 1.670000000000002 y[1] (analytic) 0.6587454221895361 y[1] (numeric) 0.6587454221895347 absolute error 1.4432899320127035e-15 relative error 2.1909676840189653e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06987261209995632 Order of pole (three term test) -24.581438332811604 Radius of convergence (six term test) for eq 1 1.131103080726633 Order of pole (six term test) -9.897595782580833 TOP MAIN SOLVE Loop x[1] 1.680000000000002 y[1] (analytic) 0.6506163708691409 y[1] (numeric) 0.6506163708691397 absolute error 1.2212453270876722e-15 relative error 1.8770590193668866e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03429734681414127 Order of pole (three term test) -49.26395297550382 Radius of convergence (six term test) for eq 1 0.7300011109444138 Order of pole (six term test) -11.45018128185161 TOP MAIN SOLVE Loop x[1] 1.690000000000002 y[1] (analytic) 0.6424642900219835 y[1] (numeric) 0.6424642900219827 absolute error 7.771561172376096e-16 relative error 1.2096487373812127e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04003271395339217 Order of pole (three term test) -1.7890467128523195 Radius of convergence (six term test) for eq 1 0.6712021191720142 Order of pole (six term test) -12.297491736355056 TOP MAIN SOLVE Loop x[1] 1.700000000000002 y[1] (analytic) 0.6342893436486452 y[1] (numeric) 0.6342893436486444 absolute error 7.771561172376096e-16 relative error 1.2252391200002617e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.710000000000002 y[1] (analytic) 0.6260916953379068 y[1] (numeric) 0.6260916953379053 absolute error 1.4432899320127035e-15 relative error 2.305237304311708e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02663935574984637 Order of pole (three term test) -23.852720490734054 Radius of convergence (six term test) for eq 1 1.2358838415227857 Order of pole (six term test) -11.188667586170311 TOP MAIN SOLVE Loop x[1] 1.720000000000002 y[1] (analytic) 0.6178715082674062 y[1] (numeric) 0.6178715082674048 absolute error 1.4432899320127035e-15 relative error 2.335906272907583e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.006574754022514942 Order of pole (three term test) -0.9225772463016841 Radius of convergence (six term test) for eq 1 6.833545423256072 Order of pole (six term test) 11.451995505606703 TOP MAIN SOLVE Loop x[1] 1.730000000000002 y[1] (analytic) 0.6096289452043012 y[1] (numeric) 0.6096289452043002 absolute error 9.992007221626409e-16 relative error 1.639030971253809e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.023976305467353312 Order of pole (three term test) -30.48086445400798 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.740000000000002 y[1] (analytic) 0.601364168505926 y[1] (numeric) 0.6013641685059247 absolute error 1.3322676295501878e-15 relative error 2.2154090637960238e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6432308005028646 Order of pole (six term test) -12.2120624617394 TOP MAIN SOLVE Loop x[1] 1.750000000000002 y[1] (analytic) 0.5930773401204458 y[1] (numeric) 0.5930773401204444 absolute error 1.3322676295501878e-15 relative error 2.2463640733257872e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7081255155126667 Order of pole (six term test) -11.284072222865717 TOP MAIN SOLVE Loop x[1] 1.760000000000002 y[1] (analytic) 0.5847686215875161 y[1] (numeric) 0.5847686215875153 absolute error 7.771561172376096e-16 relative error 1.3289976386349262e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09239618432917275 Order of pole (three term test) -42.659045607707256 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.770000000000002 y[1] (analytic) 0.576438174038939 y[1] (numeric) 0.5764381740389382 absolute error 8.881784197001252e-16 relative error 1.540804304262e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5111015369720441 Order of pole (three term test) 37.44914074791238 Radius of convergence (six term test) for eq 1 0.7755930735808981 Order of pole (six term test) -10.566154606513516 TOP MAIN SOLVE Loop x[1] 1.780000000000002 y[1] (analytic) 0.5680861581993143 y[1] (numeric) 0.568086158199314 absolute error 3.3306690738754696e-16 relative error 5.862964667952528e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.006448300112878348 Order of pole (three term test) -26.66012156584303 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.790000000000002 y[1] (analytic) 0.5597127343866986 y[1] (numeric) 0.5597127343866978 absolute error 7.771561172376096e-16 relative error 1.388491041014411e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.800000000000002 y[1] (analytic) 0.5513180625132528 y[1] (numeric) 0.5513180625132521 absolute error 6.661338147750939e-16 relative error 1.2082568304372963e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.754666666666666 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.810000000000002 y[1] (analytic) 0.5429023020859 y[1] (numeric) 0.5429023020858994 absolute error 5.551115123125783e-16 relative error 1.022488779619775e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.008008566724191887 Order of pole (three term test) -26.306253952933194 Radius of convergence (six term test) for eq 1 0.21369733529499066 Order of pole (six term test) -11.997319745550937 TOP MAIN SOLVE Loop x[1] 1.820000000000002 y[1] (analytic) 0.5344656122069743 y[1] (numeric) 0.5344656122069739 absolute error 4.440892098500626e-16 relative error 8.309032418686032e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5743700283075354 Order of pole (six term test) -11.655744104494202 TOP MAIN SOLVE Loop x[1] 1.830000000000002 y[1] (analytic) 0.5260081515748732 y[1] (numeric) 0.5260081515748722 absolute error 9.992007221626409e-16 relative error 1.8995917062711382e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23932880543347992 Order of pole (three term test) -50.11688830546203 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.840000000000002 y[1] (analytic) 0.517530078484705 y[1] (numeric) 0.5175300784847042 absolute error 7.771561172376096e-16 relative error 1.5016636704731695e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.2716729038662815 Order of pole (six term test) -11.439053162196245 TOP MAIN SOLVE Loop x[1] 1.850000000000002 y[1] (analytic) 0.5090315508289426 y[1] (numeric) 0.5090315508289418 absolute error 7.771561172376096e-16 relative error 1.5267346709099548e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10464433782084127 Order of pole (three term test) -9.501960650566652 Radius of convergence (six term test) for eq 1 2.2720933169987028 Order of pole (six term test) -16.15012426087283 TOP MAIN SOLVE Loop x[1] 1.860000000000002 y[1] (analytic) 0.5005127260980687 y[1] (numeric) 0.5005127260980677 absolute error 9.992007221626409e-16 relative error 1.9963542784461807e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6117397053540573 Order of pole (six term test) -11.329372294570351 TOP MAIN SOLVE Loop x[1] 1.870000000000002 y[1] (analytic) 0.4919737613812244 y[1] (numeric) 0.49197376138122373 absolute error 6.661338147750939e-16 relative error 1.3540027275131752e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.016666065277175922 Order of pole (three term test) -1.605126957817867 Radius of convergence (six term test) for eq 1 0.7038169532456791 Order of pole (six term test) -11.41077081515547 TOP MAIN SOLVE Loop x[1] 1.8800000000000021 y[1] (analytic) 0.48341481336685743 y[1] (numeric) 0.4834148133668572 absolute error 2.220446049250313e-16 relative error 4.593251981223928e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.221743237440957 Order of pole (three term test) -197.38439244310788 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900000000000021 y[1] (analytic) 0.47483603834336896 y[1] (numeric) 0.4748360383433679 absolute error 1.0547118733938987e-15 relative error 2.2212127728839385e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 3.192377104306448 Order of pole (six term test) -19.703392440810514 TOP MAIN SOLVE Loop x[1] 1.9000000000000021 y[1] (analytic) 0.4662375921997538 y[1] (numeric) 0.4662375921997532 absolute error 6.106226635438361e-16 relative error 1.309681316478278e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.024006940166211948 Order of pole (three term test) -1.5567408878886557 Radius of convergence (six term test) for eq 1 0.808084335749605 Order of pole (six term test) -11.95795549163324 TOP MAIN SOLVE Loop x[1] 1.9100000000000021 y[1] (analytic) 0.457619630426254 y[1] (numeric) 0.457619630426253 absolute error 9.992007221626409e-16 relative error 2.1834743435982548e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0370749490778406 Order of pole (six term test) -13.78538872427295 TOP MAIN SOLVE Loop x[1] 1.9200000000000021 y[1] (analytic) 0.44898230811499384 y[1] (numeric) 0.4489823081149936 absolute error 2.220446049250313e-16 relative error 4.9455090080779084e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.056545214272229576 Order of pole (three term test) 22.367054127673356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9300000000000022 y[1] (analytic) 0.44032577996063194 y[1] (numeric) 0.44032577996063116 absolute error 7.771561172376096e-16 relative error 1.7649571126793723e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.26937990805122025 Order of pole (six term test) -11.481369041370165 TOP MAIN SOLVE Loop x[1] 1.9400000000000022 y[1] (analytic) 0.43165020026099465 y[1] (numeric) 0.43165020026099393 absolute error 7.216449660063518e-16 relative error 1.6718281737620266e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.823659574468102 Order of pole (three term test) -562.6303191489386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500000000000022 y[1] (analytic) 0.42295572291772543 y[1] (numeric) 0.42295572291772404 absolute error 1.3877787807814457e-15 relative error 3.281144350543285e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0367203682287546 Order of pole (three term test) -22.61466237811249 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600000000000022 y[1] (analytic) 0.4142425014369193 y[1] (numeric) 0.4142425014369184 absolute error 9.43689570931383e-16 relative error 2.278109000544184e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.4931371493569147 Order of pole (six term test) -11.446957788903307 TOP MAIN SOLVE Loop x[1] 1.9700000000000022 y[1] (analytic) 0.40551068892976905 y[1] (numeric) 0.4055106889297688 absolute error 2.220446049250313e-16 relative error 5.475678224686391e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10262607194691095 Order of pole (three term test) -26.381341693568757 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000022 y[1] (analytic) 0.3967604381132026 y[1] (numeric) 0.3967604381132015 absolute error 1.1102230246251565e-15 relative error 2.7982200793628286e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900000000000022 y[1] (analytic) 0.3879919013105162 y[1] (numeric) 0.38799190131051553 absolute error 6.661338147750939e-16 relative error 1.7168755649927245e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32033643911104664 Order of pole (three term test) -34.07480150817533 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.000000000000002 y[1] (analytic) 0.37920523045202115 y[1] (numeric) 0.3792052304520208 absolute error 3.3306690738754696e-16 relative error 8.783288853651194e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11815879246062698 Order of pole (three term test) -15.87626009719369 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000002 y[1] (analytic) 0.37040057707567575 y[1] (numeric) 0.37040057707567514 absolute error 6.106226635438361e-16 relative error 1.6485467392214163e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01060823573857197 Order of pole (three term test) -27.075085845161638 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000002 y[1] (analytic) 0.36157809232772153 y[1] (numeric) 0.3615780923277205 absolute error 1.0547118733938987e-15 relative error 2.916968410901248e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5990178857305577 Order of pole (six term test) -11.716501586141353 TOP MAIN SOLVE Loop x[1] 2.0300000000000016 y[1] (analytic) 0.3527379269633202 y[1] (numeric) 0.3527379269633185 absolute error 1.6653345369377348e-15 relative error 4.721166649910335e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.807489544079442 Order of pole (six term test) -11.55070586456473 TOP MAIN SOLVE Loop x[1] 2.0400000000000014 y[1] (analytic) 0.3438802313471867 y[1] (numeric) 0.3438802313471856 absolute error 1.1102230246251565e-15 relative error 3.2285165689104663e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13289743424860134 Order of pole (three term test) -45.03427432319464 Radius of convergence (six term test) for eq 1 0.4303132191888232 Order of pole (six term test) -11.575819387813144 TOP MAIN SOLVE Loop x[1] 2.050000000000001 y[1] (analytic) 0.3350051554542284 y[1] (numeric) 0.33500515545422654 absolute error 1.8318679906315083e-15 relative error 5.468178506529867e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.060000000000001 y[1] (analytic) 0.32611284887017 y[1] (numeric) 0.3261128488701681 absolute error 1.887379141862766e-15 relative error 5.787503155431197e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23840015918814048 Order of pole (three term test) -19.57210725300965 Radius of convergence (six term test) for eq 1 0.9673153317649811 Order of pole (six term test) -12.195453532057734 TOP MAIN SOLVE Loop x[1] 2.0700000000000007 y[1] (analytic) 0.3172034607921933 y[1] (numeric) 0.31720346079219147 absolute error 1.8318679906315083e-15 relative error 5.775056760277921e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21435581597789702 Order of pole (three term test) -42.23517232718253 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0800000000000005 y[1] (analytic) 0.30827714002956585 y[1] (numeric) 0.30827714002956386 absolute error 1.9984014443252818e-15 relative error 6.482483404814323e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06327725282323116 Order of pole (three term test) -15.090569749448523 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0900000000000003 y[1] (analytic) 0.29933403500427225 y[1] (numeric) 0.29933403500426964 absolute error 2.609024107869118e-15 relative error 8.716095741775173e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.042415350011446896 Order of pole (three term test) -24.820969965077136 Radius of convergence (six term test) for eq 1 3.1284405834423774 Order of pole (six term test) -24.003371032977224 TOP MAIN SOLVE Loop x[1] 2.1 y[1] (analytic) 0.29037429375164303 y[1] (numeric) 0.2903742937516406 absolute error 2.4424906541753444e-15 relative error 8.41152507895346e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.11 y[1] (analytic) 0.2813980639209879 y[1] (numeric) 0.28139806392098526 absolute error 2.609024107869118e-15 relative error 9.271649106305474e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999997 y[1] (analytic) 0.27240549277622106 y[1] (numeric) 0.27240549277621784 absolute error 3.219646771412954e-15 relative error 1.1819316631980941e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999999994 y[1] (analytic) 0.26339672719648877 y[1] (numeric) 0.263396727196486 absolute error 2.7755575615628914e-15 relative error 1.0537555235044284e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999999992 y[1] (analytic) 0.25437191367680145 y[1] (numeric) 0.2543719136767982 absolute error 3.2751579226442118e-15 relative error 1.2875469918449978e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.895775617013896 Order of pole (six term test) -9.95898757733287 TOP MAIN SOLVE Loop x[1] 2.149999999999999 y[1] (analytic) 0.2453311983286538 y[1] (numeric) 0.24533119832865 absolute error 3.802513859341161e-15 relative error 1.5499512028010347e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.021635039923433685 Order of pole (three term test) -21.234772513174885 Radius of convergence (six term test) for eq 1 0.11161769347569658 Order of pole (six term test) -11.507146280958654 TOP MAIN SOLVE Loop x[1] 2.159999999999999 y[1] (analytic) 0.23627472688065398 y[1] (numeric) 0.23627472688064993 absolute error 4.052314039881821e-15 relative error 1.7150856942599315e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699999999999986 y[1] (analytic) 0.22720264467914775 y[1] (numeric) 0.22720264467914436 absolute error 3.3861802251067274e-15 relative error 1.4903788773623835e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.011339553300649726 Order of pole (three term test) -26.481151065533446 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1799999999999984 y[1] (analytic) 0.21811509668884554 y[1] (numeric) 0.21811509668884166 absolute error 3.885780586188048e-15 relative error 1.7815275719916582e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.300531032002119 Order of pole (six term test) -7.748997055507728 TOP MAIN SOLVE Loop x[1] 2.189999999999998 y[1] (analytic) 0.20901222749344017 y[1] (numeric) 0.2090122274934357 absolute error 4.468647674116255e-15 relative error 2.1379838527659837e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1732283117598457 Order of pole (three term test) 42.734232993665636 Radius of convergence (six term test) for eq 1 0.8047929122433155 Order of pole (six term test) -11.93583881034888 TOP MAIN SOLVE Loop x[1] 2.199999999999998 y[1] (analytic) 0.1998941812962326 y[1] (numeric) 0.19989418129622855 absolute error 4.052314039881821e-15 relative error 2.0272296139908677e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2887056678027478 Order of pole (six term test) -11.593916919674921 TOP MAIN SOLVE Loop x[1] 2.2099999999999977 y[1] (analytic) 0.19076110192075746 y[1] (numeric) 0.19076110192075232 absolute error 5.134781488891349e-15 relative error 2.6917340260617426e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.024137364513822358 Order of pole (three term test) -23.871216821858752 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2199999999999975 y[1] (analytic) 0.18161313281139535 y[1] (numeric) 0.1816131328113905 absolute error 4.85722573273506e-15 relative error 2.6744903617621493e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.009352188796857171 Order of pole (three term test) -1.0260875859367462 Radius of convergence (six term test) for eq 1 4.837350493502079 Order of pole (six term test) 28.253674489259332 TOP MAIN SOLVE Loop x[1] 2.2299999999999973 y[1] (analytic) 0.1724504170340031 y[1] (numeric) 0.17245041703399827 absolute error 4.829470157119431e-15 relative error 2.8004978127522735e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239999999999997 y[1] (analytic) 0.1632730972765275 y[1] (numeric) 0.1632730972765223 absolute error 5.190292640122607e-15 relative error 3.178902542243115e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.012427241756063375 Order of pole (three term test) 1.2979803334916116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.249999999999997 y[1] (analytic) 0.1540813158496256 y[1] (numeric) 0.15408131584961965 absolute error 5.9396931817445875e-15 relative error 3.85490813664999e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2599999999999967 y[1] (analytic) 0.14487521468728182 y[1] (numeric) 0.14487521468727596 absolute error 5.856426454897701e-15 relative error 4.042393633403064e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10035067342699514 Order of pole (three term test) -0.499720801411628 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699999999999965 y[1] (analytic) 0.13565493534742812 y[1] (numeric) 0.1356549353474229 absolute error 5.218048215738236e-15 relative error 3.8465598043847095e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6494253127709549 Order of pole (six term test) -11.687539814633094 TOP MAIN SOLVE Loop x[1] 2.2799999999999963 y[1] (analytic) 0.12642061901256074 y[1] (numeric) 0.12642061901255489 absolute error 5.856426454897701e-15 relative error 4.632493101711379e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29578892858722783 Order of pole (three term test) -100.64957896051651 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999996 y[1] (analytic) 0.1171724064903511 y[1] (numeric) 0.1171724064903451 absolute error 5.995204332975845e-15 relative error 5.116566700769723e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16468933802089405 Order of pole (three term test) -14.969754402919174 Radius of convergence (six term test) for eq 1 1.6117881395294682 Order of pole (six term test) -11.104223304967801 TOP MAIN SOLVE Loop x[1] 2.299999999999996 y[1] (analytic) 0.10791043821426716 y[1] (numeric) 0.10791043821426065 absolute error 6.50868248186498e-15 relative error 6.031559680020323e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0978378206493207 Order of pole (three term test) -27.653602502178586 Radius of convergence (six term test) for eq 1 0.49637421536254794 Order of pole (six term test) -10.945533668082168 TOP MAIN SOLVE Loop x[1] 2.3099999999999956 y[1] (analytic) 0.09863485424418328 y[1] (numeric) 0.09863485424417703 absolute error 6.2450045135165055e-15 relative error 6.331437868865496e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.347631975867271 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999999954 y[1] (analytic) 0.08934579426699829 y[1] (numeric) 0.08934579426699193 absolute error 6.356026815979021e-15 relative error 7.113963078088333e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.007703373483646962 Order of pole (three term test) -25.790475373998024 Radius of convergence (six term test) for eq 1 0.37672103187092054 Order of pole (six term test) -10.765202404101114 TOP MAIN SOLVE Loop x[1] 2.329999999999995 y[1] (analytic) 0.08004339759724521 y[1] (numeric) 0.08004339759723815 absolute error 7.0637939941775585e-15 relative error 8.824955219567874e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01011284114454684 Order of pole (three term test) -23.475301117038477 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339999999999995 y[1] (analytic) 0.07072780317770311 y[1] (numeric) 0.07072780317769589 absolute error 7.216449660063518e-15 relative error 1.0203129937363158e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06329558862375628 Order of pole (three term test) -33.43870992087951 Radius of convergence (six term test) for eq 1 0.2324296668588796 Order of pole (six term test) -12.892335708137619 TOP MAIN SOLVE Loop x[1] 2.3499999999999948 y[1] (analytic) 0.061399149580011136 y[1] (numeric) 0.06139914958000428 absolute error 6.855627177060342e-15 relative error 1.1165671225016825e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.41206410826099815 Order of pole (six term test) -9.597898022574682 TOP MAIN SOLVE Loop x[1] 2.3599999999999945 y[1] (analytic) 0.05205757500528019 y[1] (numeric) 0.05205757500527212 absolute error 8.069933610244107e-15 relative error 1.5501939169132592e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.036525715679400016 Order of pole (three term test) -6.616619920124386 Radius of convergence (six term test) for eq 1 1.0244662703745118 Order of pole (six term test) -11.209416775685408 TOP MAIN SOLVE Loop x[1] 2.3699999999999943 y[1] (analytic) 0.04270321728469584 y[1] (numeric) 0.04270321728468791 absolute error 7.931155732165962e-15 relative error 1.8572735818217528e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3346093691815 Order of pole (three term test) -83.47792826820162 Radius of convergence (six term test) for eq 1 0.5680307668533907 Order of pole (six term test) -11.99047748325946 TOP MAIN SOLVE Loop x[1] 2.379999999999994 y[1] (analytic) 0.03333621388013697 y[1] (numeric) 0.03333621388012917 absolute error 7.799316747991725e-15 relative error 2.3395928451967564e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06839833324977956 Order of pole (three term test) -23.4779765476861 Radius of convergence (six term test) for eq 1 0.8127675415503934 Order of pole (six term test) -10.410756205946779 TOP MAIN SOLVE Loop x[1] 2.389999999999994 y[1] (analytic) 0.023956701884779386 y[1] (numeric) 0.023956701884770976 absolute error 8.409939411535561e-15 relative error 3.510474627093272e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09313999527226734 Order of pole (three term test) -4.333225999083531 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3999999999999937 y[1] (analytic) 0.014564818023702464 y[1] (numeric) 0.0145648180236938 absolute error 8.663209039028175e-15 relative error 5.948037953464204e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2577849438936703 Order of pole (three term test) -27.738428555865095 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999999935 y[1] (analytic) 0.005160698654498863 y[1] (numeric) 0.005160698654490573 absolute error 8.290243491693161e-15 relative error 1.6064188294478506e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13199386873519434 Order of pole (three term test) -25.62384748478796 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999999933 y[1] (analytic) -0.004255520232118171 y[1] (numeric) -0.0042555202321269536 absolute error 8.782904958870574e-15 relative error 2.0638851373757688e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.42059607465255855 Order of pole (six term test) -12.160489795536018 TOP MAIN SOLVE Loop x[1] 2.429999999999993 y[1] (analytic) -0.0136837030117134 y[1] (numeric) -0.013683703011722597 absolute error 9.197503869629031e-15 relative error 6.721502112224935e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.4377734383595602 Order of pole (six term test) -11.570425661770251 TOP MAIN SOLVE Loop x[1] 2.439999999999993 y[1] (analytic) -0.02312371442552208 y[1] (numeric) -0.023123714425530864 absolute error 8.784639682346551e-15 relative error 3.7989743000159087e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.008259587427375805 Order of pole (three term test) -0.8018503549558523 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999926 y[1] (analytic) -0.032575419579843334 y[1] (numeric) -0.0325754195798528 absolute error 9.46465128492946e-15 relative error 2.9054579824309904e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34361759082218035 Order of pole (three term test) -101.85523081125392 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599999999999924 y[1] (analytic) -0.04203868394544319 y[1] (numeric) -0.042038683945452585 absolute error 9.395262345890387e-15 relative error 2.2349087707130264e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10544171082907328 Order of pole (three term test) -12.286725943201416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.469999999999992 y[1] (analytic) -0.05151337335694506 y[1] (numeric) -0.05151337335695484 absolute error 9.783840404509192e-15 relative error 1.899281636385036e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999992 y[1] (analytic) -0.06099935401223222 y[1] (numeric) -0.06099935401224268 absolute error 1.0456913113188193e-14 relative error 1.71426620535871e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.060607881812704684 Order of pole (three term test) -20.2271735808281 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4899999999999918 y[1] (analytic) -0.07049649247184597 y[1] (numeric) -0.07049649247185649 absolute error 1.0519363158323358e-14 relative error 1.4921824887279964e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15178378378378377 Order of pole (three term test) -15.758657094594595 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999999916 y[1] (analytic) -0.0800046556583831 y[1] (numeric) -0.08000465565839344 absolute error 1.033895191682177e-14 relative error 1.2922937836228818e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999999913 y[1] (analytic) -0.0895237108558965 y[1] (numeric) -0.08952371085590773 absolute error 1.1227130336521896e-14 relative error 1.2540957282918996e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7320285123531259 Order of pole (six term test) -11.590405514247173 TOP MAIN SOLVE Loop x[1] 2.519999999999991 y[1] (analytic) -0.09905352570930015 y[1] (numeric) -0.09905352570931153 absolute error 1.1379786002407855e-14 relative error 1.1488521908654691e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.529999999999991 y[1] (analytic) -0.10859396822376521 y[1] (numeric) -0.1085939682237767 absolute error 1.149080830487037e-14 relative error 1.0581442498899003e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1901456953642389 Order of pole (three term test) 76.81622516556295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5399999999999907 y[1] (analytic) -0.11814490676412581 y[1] (numeric) -0.1181449067641372 absolute error 1.1393663790215669e-14 relative error 9.643804462060234e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5859817518386665 Order of pole (six term test) -12.092623430831281 TOP MAIN SOLVE Loop x[1] 2.5499999999999905 y[1] (analytic) -0.1277062100542805 y[1] (numeric) -0.12770621005429225 absolute error 1.174060848541103e-14 relative error 9.193451501239273e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5599999999999903 y[1] (analytic) -0.13727774717659758 y[1] (numeric) -0.13727774717661018 absolute error 1.2601031329495527e-14 relative error 9.179223573129621e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14935017600512876 Order of pole (three term test) -41.01386522696647 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.56999999999999 y[1] (analytic) -0.1468593875713201 y[1] (numeric) -0.14685938757133302 absolute error 1.2906342661267445e-14 relative error 8.788231297096802e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.57999999999999 y[1] (analytic) -0.15645100103596943 y[1] (numeric) -0.15645100103598186 absolute error 1.2434497875801753e-14 relative error 7.947854467829807e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3050043596418092 Order of pole (three term test) -58.2477119836052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999999896 y[1] (analytic) -0.16605245772474975 y[1] (numeric) -0.1660524577247629 absolute error 1.3156142841808105e-14 relative error 7.922883540583218e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999999999999894 y[1] (analytic) -0.17566362814796155 y[1] (numeric) -0.17566362814797415 absolute error 1.2601031329495527e-14 relative error 7.173386694985984e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1268648661272551 Order of pole (three term test) -41.36359119928155 Radius of convergence (six term test) for eq 1 0.43027024838963307 Order of pole (six term test) -11.659434909115506 TOP MAIN SOLVE Loop x[1] 2.609999999999989 y[1] (analytic) -0.18528438317139928 y[1] (numeric) -0.185284383171413 absolute error 1.3711254354120683e-14 relative error 7.40011333898386e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619999999999989 y[1] (analytic) -0.19491459401577127 y[1] (numeric) -0.19491459401578437 absolute error 1.3100631690576847e-14 relative error 6.721216416209874e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0778549627982321 Order of pole (three term test) -39.78119550231942 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.629999999999989 y[1] (analytic) -0.20455413225609642 y[1] (numeric) -0.2045541322561097 absolute error 1.326716514427062e-14 relative error 6.485894466145752e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999999886 y[1] (analytic) -0.21420286982112224 y[1] (numeric) -0.21420286982113648 absolute error 1.4238610290817633e-14 relative error 6.6472546809051126e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0785765266817964 Order of pole (three term test) -27.278576485040286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499999999999884 y[1] (analytic) -0.22386067899273498 y[1] (numeric) -0.22386067899274883 absolute error 1.3850032232198828e-14 relative error 6.186898161176535e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.659999999999988 y[1] (analytic) -0.2335274324053641 y[1] (numeric) -0.2335274324053784 absolute error 1.429412144204889e-14 relative error 6.120960306383497e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.9165777720549588 Order of pole (six term test) -11.460690495289567 TOP MAIN SOLVE Loop x[1] 2.669999999999988 y[1] (analytic) -0.24320300304540154 y[1] (numeric) -0.24320300304541626 absolute error 1.4710455076283324e-14 relative error 6.048632168220864e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 5.7608926627236485 Order of pole (six term test) -19.097456934897444 TOP MAIN SOLVE Loop x[1] 2.6799999999999877 y[1] (analytic) -0.2528872642506108 y[1] (numeric) -0.2528872642506254 absolute error 1.459943277382081e-14 relative error 5.773099257127001e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.3832651307753756 Order of pole (six term test) -12.110100138460307 TOP MAIN SOLVE Loop x[1] 2.6899999999999875 y[1] (analytic) -0.2625800897095394 y[1] (numeric) -0.262580089709554 absolute error 1.459943277382081e-14 relative error 5.5599923017660614e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.048315817259280254 Order of pole (three term test) -1.4090842433544828 Radius of convergence (six term test) for eq 1 0.39664470319774786 Order of pole (six term test) -12.363841398482338 TOP MAIN SOLVE Loop x[1] 2.6999999999999873 y[1] (analytic) -0.27228135346093374 y[1] (numeric) -0.27228135346094934 absolute error 1.559863349598345e-14 relative error 5.728865857948478e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709999999999987 y[1] (analytic) -0.28199092989315766 y[1] (numeric) -0.28199092989317254 absolute error 1.4876988529977098e-14 relative error 5.275697532404243e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0759345322656532 Order of pole (three term test) -37.58243306824048 Radius of convergence (six term test) for eq 1 0.8144120070651605 Order of pole (six term test) -11.397498017661869 TOP MAIN SOLVE Loop x[1] 2.719999999999987 y[1] (analytic) -0.2917086937435981 y[1] (numeric) -0.2917086937436139 absolute error 1.582067810090848e-14 relative error 5.423451011307298e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24272600283918067 Order of pole (three term test) -35.588205232204416 Radius of convergence (six term test) for eq 1 0.557105851728922 Order of pole (six term test) -12.16700974515797 TOP MAIN SOLVE Loop x[1] 2.7299999999999867 y[1] (analytic) -0.30143452009809346 y[1] (numeric) -0.301434520098109 absolute error 1.554312234475219e-14 relative error 5.156384325091272e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.038163074618336824 Order of pole (three term test) -1.7083587518050336 Radius of convergence (six term test) for eq 1 1.077630712137723 Order of pole (six term test) -11.856564066304102 TOP MAIN SOLVE Loop x[1] 2.7399999999999864 y[1] (analytic) -0.3111682843903394 y[1] (numeric) -0.3111682843903555 absolute error 1.609823385706477e-14 relative error 5.173481573999564e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.011426194903679148 Order of pole (three term test) -23.72226801686905 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7499999999999862 y[1] (analytic) -0.320909862401315 y[1] (numeric) -0.3209098624013307 absolute error 1.5654144647214707e-14 relative error 4.8780503441300776e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05190114544286836 Order of pole (three term test) -32.26365459398825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.759999999999986 y[1] (analytic) -0.3306591302586931 y[1] (numeric) -0.33065913025870974 absolute error 1.6653345369377348e-14 relative error 5.03640875010725e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769999999999986 y[1] (analytic) -0.3404159644362684 y[1] (numeric) -0.3404159644362847 absolute error 1.6264767310758543e-14 relative error 4.7779096781471835e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.281429224597346 Order of pole (six term test) -12.050909164699487 TOP MAIN SOLVE Loop x[1] 2.7799999999999856 y[1] (analytic) -0.3501802417533675 y[1] (numeric) -0.3501802417533839 absolute error 1.6431300764452317e-14 relative error 4.692240967731386e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5586456241032997 Order of pole (three term test) 15.942252510760397 Radius of convergence (six term test) for eq 1 0.11606553319686928 Order of pole (six term test) -12.934778285540741 TOP MAIN SOLVE Loop x[1] 2.7899999999999854 y[1] (analytic) -0.35995183937427644 y[1] (numeric) -0.3599518393742927 absolute error 1.6264767310758543e-14 relative error 4.518595415162334e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19452221402214026 Order of pole (three term test) -28.604317343173435 Radius of convergence (six term test) for eq 1 0.4409387013493107 Order of pole (six term test) -11.509146772994184 TOP MAIN SOLVE Loop x[1] 2.799999999999985 y[1] (analytic) -0.3697306348076571 y[1] (numeric) -0.36973063480767426 absolute error 1.715294573045867e-14 relative error 4.639308760384989e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809999999999985 y[1] (analytic) -0.37951650590597463 y[1] (numeric) -0.37951650590599145 absolute error 1.6819878823071122e-14 relative error 4.431922870632207e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.015189282846638211 Order of pole (three term test) -3.124329121413176 Radius of convergence (six term test) for eq 1 0.5703981283312874 Order of pole (six term test) -12.145885745158292 TOP MAIN SOLVE Loop x[1] 2.8199999999999847 y[1] (analytic) -0.38930933086491215 y[1] (numeric) -0.38930933086492936 absolute error 1.7208456881689926e-14 relative error 4.420252872814177e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9571385041514109 Order of pole (six term test) -11.59925923007454 TOP MAIN SOLVE Loop x[1] 2.8299999999999845 y[1] (analytic) -0.39910898822280094 y[1] (numeric) -0.3991089882228185 absolute error 1.7541523789077473e-14 relative error 4.395171320793455e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11646778426975328 Order of pole (three term test) -27.325464067705543 Radius of convergence (six term test) for eq 1 1.4466109406101444 Order of pole (six term test) -10.175888030900275 TOP MAIN SOLVE Loop x[1] 2.8399999999999843 y[1] (analytic) -0.408915356860041 y[1] (numeric) -0.40891535686005853 absolute error 1.7541523789077473e-14 relative error 4.2897688958845805e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0970792595280683 Order of pole (six term test) -10.292151690089725 TOP MAIN SOLVE Loop x[1] 2.849999999999984 y[1] (analytic) -0.41872831599852467 y[1] (numeric) -0.4187283159985432 absolute error 1.8540724511240114e-14 relative error 4.427864990937331e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6329841001097208 Order of pole (six term test) -11.206804265601379 TOP MAIN SOLVE Loop x[1] 2.859999999999984 y[1] (analytic) -0.42854774520106675 y[1] (numeric) -0.4285477452010854 absolute error 1.865174681370263e-14 relative error 4.352314770656785e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02288880185696409 Order of pole (three term test) -22.413597199270207 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8699999999999837 y[1] (analytic) -0.43837352437082455 y[1] (numeric) -0.43837352437084326 absolute error 1.8707257964933888e-14 relative error 4.26742422270676e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8799999999999835 y[1] (analytic) -0.4482055337507278 y[1] (numeric) -0.44820553375074684 absolute error 1.9040324872321435e-14 relative error 4.248123559070296e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09320002742664825 Order of pole (three term test) -27.49466037442024 Radius of convergence (six term test) for eq 1 4.15447662518564 Order of pole (six term test) 8.377873678446289 TOP MAIN SOLVE Loop x[1] 2.8899999999999832 y[1] (analytic) -0.4580436539229068 y[1] (numeric) -0.4580436539229256 absolute error 1.8818280267396403e-14 relative error 4.108403228868597e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.012154876173791601 Order of pole (three term test) -26.130530143397063 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899999999999983 y[1] (analytic) -0.467887765808118 y[1] (numeric) -0.46788776580813657 absolute error 1.8596235662471372e-14 relative error 3.974507781872146e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18451325188855416 Order of pole (three term test) -33.662229037471526 Radius of convergence (six term test) for eq 1 0.9836885347680655 Order of pole (six term test) -10.984151485793484 TOP MAIN SOLVE Loop x[1] 2.909999999999983 y[1] (analytic) -0.477737750665174 y[1] (numeric) -0.4777377506651931 absolute error 1.9095836023552692e-14 relative error 3.997137759568879e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6675160182003907 Order of pole (three term test) 62.84966106416573 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999999826 y[1] (analytic) -0.4875934900903744 y[1] (numeric) -0.4875934900903943 absolute error 1.992850329202156e-14 relative error 4.087114306700004e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9299999999999824 y[1] (analytic) -0.49745486601693617 y[1] (numeric) -0.4974548660169556 absolute error 1.942890293094024e-14 relative error 3.905661449551238e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.939999999999982 y[1] (analytic) -0.5073217607144191 y[1] (numeric) -0.5073217607144392 absolute error 2.0095036745715333e-14 relative error 3.961004297828101e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.012290163909201105 Order of pole (three term test) -24.004020793404653 Radius of convergence (six term test) for eq 1 2.143076967419563 Order of pole (six term test) -14.608807312829592 TOP MAIN SOLVE Loop x[1] 2.949999999999982 y[1] (analytic) -0.5171940567881658 y[1] (numeric) -0.5171940567881863 absolute error 2.0539125955565396e-14 relative error 3.971261016245182e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19854388775341106 Order of pole (three term test) -7.698787099217968 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9599999999999818 y[1] (analytic) -0.527071637178729 y[1] (numeric) -0.5270716371787488 absolute error 1.9872992140790302e-14 relative error 3.770453718049603e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6221647230548035 Order of pole (three term test) -83.89649069378778 Radius of convergence (six term test) for eq 1 0.43611273284871394 Order of pole (six term test) -12.435217403828258 TOP MAIN SOLVE Loop x[1] 2.9699999999999815 y[1] (analytic) -0.5369543851613019 y[1] (numeric) -0.5369543851613227 absolute error 2.0761170560490427e-14 relative error 3.8664682018108005e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.28793760946854946 Order of pole (six term test) -12.588167933848686 TOP MAIN SOLVE Loop x[1] 2.9799999999999813 y[1] (analytic) -0.5468421843451606 y[1] (numeric) -0.5468421843451816 absolute error 2.098321516541546e-14 relative error 3.837161024902038e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.989999999999981 y[1] (analytic) -0.5567349186730912 y[1] (numeric) -0.5567349186731115 absolute error 2.0317081350640365e-14 relative error 3.649327654723654e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12018457834548253 Order of pole (three term test) 0.6766033571858495 Radius of convergence (six term test) for eq 1 1.5412715770281105 Order of pole (six term test) -12.733064775740516 TOP MAIN SOLVE Loop x[1] 2.999999999999981 y[1] (analytic) -0.566632472420824 y[1] (numeric) -0.5666324724208456 absolute error 2.1538326677728037e-14 relative error 3.801110548025926e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0099999999999807 y[1] (analytic) -0.5765347301964789 y[1] (numeric) -0.5765347301964999 absolute error 2.098321516541546e-14 relative error 3.6395405283328775e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1578195799658293 Order of pole (six term test) -13.79495920857134 TOP MAIN SOLVE Loop x[1] 3.0199999999999805 y[1] (analytic) -0.5864415769399891 y[1] (numeric) -0.5864415769400103 absolute error 2.120525977034049e-14 relative error 3.615920256027556e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.174812549445224 Order of pole (six term test) -11.113552494341596 TOP MAIN SOLVE Loop x[1] 3.0299999999999803 y[1] (analytic) -0.5963528979225478 y[1] (numeric) -0.5963528979225692 absolute error 2.142730437526552e-14 relative error 3.5930578102176718e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14935096504448445 Order of pole (three term test) 14.59905683309836 Radius of convergence (six term test) for eq 1 0.2623082048787932 Order of pole (six term test) -10.38522397557135 TOP MAIN SOLVE Loop x[1] 3.03999999999998 y[1] (analytic) -0.606268578746042 y[1] (numeric) -0.6062685787460637 absolute error 2.1649348980190553e-14 relative error 3.5709172038848448e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08636984049092168 Order of pole (three term test) 2.5798329530680086 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.04999999999998 y[1] (analytic) -0.6161885053424913 y[1] (numeric) -0.6161885053425141 absolute error 2.2870594307278225e-14 relative error 3.711623003185728e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 3.054309671897656 Order of pole (six term test) -13.634649666726547 TOP MAIN SOLVE Loop x[1] 3.0599999999999796 y[1] (analytic) -0.626112563973491 y[1] (numeric) -0.6261125639735133 absolute error 2.2315482794965646e-14 relative error 3.5641327261259786e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4299154833908738 Order of pole (six term test) -12.206163856887237 TOP MAIN SOLVE Loop x[1] 3.0699999999999794 y[1] (analytic) -0.6360406412296443 y[1] (numeric) -0.6360406412296665 absolute error 2.220446049250313e-14 relative error 3.491044290750934e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1347643164434358 Order of pole (three term test) -44.63779126595551 Radius of convergence (six term test) for eq 1 1.3510049693997062 Order of pole (six term test) -10.713406823795664 TOP MAIN SOLVE Loop x[1] 3.079999999999979 y[1] (analytic) -0.6459726240300088 y[1] (numeric) -0.6459726240300321 absolute error 2.3314683517128287e-14 relative error 3.6092370868096108e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.089999999999979 y[1] (analytic) -0.6559083996215398 y[1] (numeric) -0.6559083996215627 absolute error 2.2870594307278225e-14 relative error 3.4868579698742376e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16926468902029512 Order of pole (three term test) -17.839145604350602 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0999999999999788 y[1] (analytic) -0.6658478555785238 y[1] (numeric) -0.6658478555785475 absolute error 2.375877272697835e-14 relative error 3.5681984297051576e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.37798057581288447 Order of pole (six term test) -12.399145852698458 TOP MAIN SOLVE Loop x[1] 3.1099999999999786 y[1] (analytic) -0.6757908798020313 y[1] (numeric) -0.675790879802055 absolute error 2.3647750424515834e-14 relative error 3.4992704298470693e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32801273485702365 Order of pole (three term test) -58.22500958600099 Radius of convergence (six term test) for eq 1 1.1604343078463422 Order of pole (six term test) -13.211105531626606 TOP MAIN SOLVE Loop x[1] 3.1199999999999783 y[1] (analytic) -0.6857373605193523 y[1] (numeric) -0.685737360519376 absolute error 2.3647750424515834e-14 relative error 3.448514225126351e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.028663180559827743 Order of pole (three term test) -29.767840664410947 Radius of convergence (six term test) for eq 1 0.21564994264574344 Order of pole (six term test) -11.401185219191564 TOP MAIN SOLVE Loop x[1] 3.129999999999978 y[1] (analytic) -0.695687186283444 y[1] (numeric) -0.695687186283468 absolute error 2.4091839634365897e-14 relative error 3.463027652280224e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0236219729360996 Order of pole (six term test) -11.17162794680187 TOP MAIN SOLVE Loop x[1] 3.139999999999978 y[1] (analytic) -0.7056402459723763 y[1] (numeric) -0.7056402459724002 absolute error 2.3869795029440866e-14 relative error 3.3827145157442306e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.006923472193424505 Order of pole (three term test) -2.2577551002010328 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1499999999999777 y[1] (analytic) -0.7155964287887742 y[1] (numeric) -0.7155964287887983 absolute error 2.4091839634365897e-14 relative error 3.3666796905546316e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1599999999999775 y[1] (analytic) -0.7255556242592662 y[1] (numeric) -0.7255556242592911 absolute error 2.4868995751603507e-14 relative error 3.4275794880637506e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.3429499412272152 Order of pole (six term test) -9.819428125633749 TOP MAIN SOLVE Loop x[1] 3.1699999999999773 y[1] (analytic) -0.7355177222339326 y[1] (numeric) -0.7355177222339575 absolute error 2.4868995751603507e-14 relative error 3.3811552053526023e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.8632114017547794 Order of pole (six term test) -14.019067743862445 TOP MAIN SOLVE Loop x[1] 3.179999999999977 y[1] (analytic) -0.7454826128857487 y[1] (numeric) -0.7454826128857736 absolute error 2.4868995751603507e-14 relative error 3.335959192305788e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.154008927053757 Order of pole (three term test) -96.96356779965119 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.189999999999977 y[1] (analytic) -0.7554501867100348 y[1] (numeric) -0.7554501867100608 absolute error 2.5979218776228663e-14 relative error 3.438905600032672e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1999999999999766 y[1] (analytic) -0.7654203345239099 y[1] (numeric) -0.7654203345239354 absolute error 2.55351295663786e-14 relative error 3.3360923945483373e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.9387129536464887 Order of pole (six term test) -11.530084575304517 TOP MAIN SOLVE Loop x[1] 3.2099999999999764 y[1] (analytic) -0.7753929474657318 y[1] (numeric) -0.7753929474657574 absolute error 2.55351295663786e-14 relative error 3.2931856873133496e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7499071020118788 Order of pole (six term test) -8.501752207093645 TOP MAIN SOLVE Loop x[1] 3.219999999999976 y[1] (analytic) -0.7853679169945551 y[1] (numeric) -0.785367916994581 absolute error 2.5868196473766147e-14 relative error 3.29376791615814e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.229999999999976 y[1] (analytic) -0.7953451348895793 y[1] (numeric) -0.7953451348896055 absolute error 2.6201263381153694e-14 relative error 3.294326227920073e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4314260030585093 Order of pole (three term test) -26.635376972899603 Radius of convergence (six term test) for eq 1 0.9451699995045003 Order of pole (six term test) -12.162378075470961 TOP MAIN SOLVE Loop x[1] 3.239999999999976 y[1] (analytic) -0.8053244932496001 y[1] (numeric) -0.8053244932496271 absolute error 2.6978419498391304e-14 relative error 3.350006081341138e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1253992200826895 Order of pole (three term test) -5.524804676314018 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2499999999999756 y[1] (analytic) -0.8153058844924639 y[1] (numeric) -0.8153058844924909 absolute error 2.6978419498391304e-14 relative error 3.3089935951076375e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21096857570015567 Order of pole (three term test) -12.819505956285845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2599999999999754 y[1] (analytic) -0.825289201354517 y[1] (numeric) -0.8252892013545439 absolute error 2.6867397195928788e-14 relative error 3.2555129949395088e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01653485820488698 Order of pole (three term test) -31.98599932834499 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.269999999999975 y[1] (analytic) -0.835274336890062 y[1] (numeric) -0.8352743368900888 absolute error 2.6756374893466273e-14 relative error 3.2033038382439755e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16767611529101367 Order of pole (three term test) -34.14802470447672 Radius of convergence (six term test) for eq 1 1.9100559159688155 Order of pole (six term test) -9.623793037809218 TOP MAIN SOLVE Loop x[1] 3.279999999999975 y[1] (analytic) -0.8452611844708102 y[1] (numeric) -0.845261184470838 absolute error 2.7755575615628914e-14 relative error 3.2836685424051207e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2899999999999747 y[1] (analytic) -0.8552496377853422 y[1] (numeric) -0.8552496377853689 absolute error 2.6645352591003757e-14 relative error 3.115505860955586e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05190238267148014 Order of pole (three term test) -23.767942238267146 Radius of convergence (six term test) for eq 1 0.25132258752055603 Order of pole (six term test) -11.397337444871209 TOP MAIN SOLVE Loop x[1] 3.2999999999999745 y[1] (analytic) -0.8652395908385521 y[1] (numeric) -0.8652395908385795 absolute error 2.7422508708241367e-14 relative error 3.1693543613353015e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0573535168823007 Order of pole (three term test) -5.559487115421125 Radius of convergence (six term test) for eq 1 0.44146393860510247 Order of pole (six term test) -11.063209015936458 TOP MAIN SOLVE Loop x[1] 3.3099999999999743 y[1] (analytic) -0.8752309379511166 y[1] (numeric) -0.8752309379511444 absolute error 2.7755575615628914e-14 relative error 3.1712288051201314e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1393015280803658 Order of pole (six term test) -12.260109036628535 TOP MAIN SOLVE Loop x[1] 3.319999999999974 y[1] (analytic) -0.8852235737589436 y[1] (numeric) -0.8852235737589721 absolute error 2.853273173286652e-14 relative error 3.223223214866204e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08769893110565677 Order of pole (three term test) -47.27501707989777 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.329999999999974 y[1] (analytic) -0.895217393212635 y[1] (numeric) -0.8952173932126628 absolute error 2.7755575615628914e-14 relative error 3.1004285468609428e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3399999999999737 y[1] (analytic) -0.9052122915769375 y[1] (numeric) -0.9052122915769665 absolute error 2.8976820942716586e-14 relative error 3.201107763598428e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0624552185485623 Order of pole (six term test) -12.420486628202477 TOP MAIN SOLVE Loop x[1] 3.3499999999999734 y[1] (analytic) -0.9152081644302136 y[1] (numeric) -0.9152081644302419 absolute error 2.8310687127941492e-14 relative error 3.0933604209668563e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7101256101877158 Order of pole (three term test) -89.75112664716107 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3599999999999732 y[1] (analytic) -0.9252049076638884 y[1] (numeric) -0.9252049076639166 absolute error 2.8199664825478976e-14 relative error 3.0479372290276963e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.369999999999973 y[1] (analytic) -0.935202417481918 y[1] (numeric) -0.935202417481947 absolute error 2.8976820942716586e-14 relative error 3.098454452324686e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.556419542193372 Order of pole (three term test) -22.691290143491624 Radius of convergence (six term test) for eq 1 5.342689423513734 Order of pole (six term test) -15.787938456655317 TOP MAIN SOLVE Loop x[1] 3.379999999999973 y[1] (analytic) -0.94520059040025 y[1] (numeric) -0.9452005904002795 absolute error 2.9531932455029164e-14 relative error 3.124409014865693e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3899999999999726 y[1] (analytic) -0.9551993232462825 y[1] (numeric) -0.9551993232463121 absolute error 2.9531932455029164e-14 relative error 3.0917036618769504e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.053591268128766974 Order of pole (three term test) -3.1971920109778744 Radius of convergence (six term test) for eq 1 0.9381372479321768 Order of pole (six term test) -11.832124126969203 TOP MAIN SOLVE Loop x[1] 3.3999999999999724 y[1] (analytic) -0.9651985131583276 y[1] (numeric) -0.965198513158357 absolute error 2.942091015256665e-14 relative error 3.048171930590257e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0011378207711719 Order of pole (six term test) -11.828649689415524 TOP MAIN SOLVE Loop x[1] 3.409999999999972 y[1] (analytic) -0.975198057585074 y[1] (numeric) -0.9751980575851035 absolute error 2.942091015256665e-14 relative error 3.0169164021330132e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.419999999999972 y[1] (analytic) -0.9851978542850512 y[1] (numeric) -0.9851978542850816 absolute error 3.0309088572266774e-14 relative error 3.0764468721119773e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5237646090696239 Order of pole (three term test) -17.503585528571566 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4299999999999717 y[1] (analytic) -0.9951978013260969 y[1] (numeric) -0.9951978013261265 absolute error 2.9531932455029164e-14 relative error 2.9674434987374357e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.169309125454276 Order of pole (six term test) -11.307513233572134 TOP MAIN SOLVE Loop x[1] 3.4399999999999715 y[1] (analytic) -1.0051977970848132 y[1] (numeric) -1.0051977970848436 absolute error 3.042011087472929e-14 relative error 3.026281092432856e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1732040086873726 Order of pole (three term test) -6.508430224346246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4499999999999713 y[1] (analytic) -1.0151977402460446 y[1] (numeric) -1.0151977402460743 absolute error 2.9753977059954195e-14 relative error 2.930855328021414e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.459999999999971 y[1] (analytic) -1.0251975298023321 y[1] (numeric) -1.0251975298023626 absolute error 3.042011087472929e-14 relative error 2.9672438715878077e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.469999999999971 y[1] (analytic) -1.0351970650533895 y[1] (numeric) -1.035197065053421 absolute error 3.1530333899354446e-14 relative error 3.04582914343254e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4799999999999707 y[1] (analytic) -1.0451962456055686 y[1] (numeric) -1.0451962456055996 absolute error 3.108624468950438e-14 relative error 2.9742017176394995e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06008807935421211 Order of pole (three term test) -31.15890346617415 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4899999999999705 y[1] (analytic) -1.0551949713713225 y[1] (numeric) -1.055194971371354 absolute error 3.1530333899354446e-14 relative error 2.9881050189594714e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4999999999999702 y[1] (analytic) -1.065193142568682 y[1] (numeric) -1.0651931425687138 absolute error 3.175237850427948e-14 relative error 2.980903390694907e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0538883622836638 Order of pole (three term test) -26.226586798516028 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.50999999999997 y[1] (analytic) -1.075190659720721 y[1] (numeric) -1.0751906597207528 absolute error 3.175237850427948e-14 relative error 2.9531858575228978e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04316333883080076 Order of pole (three term test) -8.502257697788737 Radius of convergence (six term test) for eq 1 0.6257430306020575 Order of pole (six term test) -12.072965251645696 TOP MAIN SOLVE Loop x[1] 3.51999999999997 y[1] (analytic) -1.0851874236550276 y[1] (numeric) -1.0851874236550594 absolute error 3.175237850427948e-14 relative error 2.9259810620854838e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.009887129880040183 Order of pole (three term test) -0.8614511396747662 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5299999999999696 y[1] (analytic) -1.095183335503176 y[1] (numeric) -1.0951833355032075 absolute error 3.1530333899354446e-14 relative error 2.8790005177414437e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0156802296007029 Order of pole (three term test) -0.7546412968903099 Radius of convergence (six term test) for eq 1 0.4467584770892513 Order of pole (six term test) -12.78962994772776 TOP MAIN SOLVE Loop x[1] 3.5399999999999694 y[1] (analytic) -1.1051782967001953 y[1] (numeric) -1.1051782967002275 absolute error 3.219646771412954e-14 relative error 2.913237421532859e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22310904390079125 Order of pole (three term test) -47.87345554703843 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.549999999999969 y[1] (analytic) -1.1151722089840472 y[1] (numeric) -1.1151722089840799 absolute error 3.26405569239796e-14 relative error 2.9269521479302336e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.048392934080137874 Order of pole (three term test) -9.108223825937099 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.559999999999969 y[1] (analytic) -1.1251649743950944 y[1] (numeric) -1.1251649743951273 absolute error 3.2862601528904634e-14 relative error 2.9206918342416463e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40046292981853093 Order of pole (three term test) -40.94895219694904 Radius of convergence (six term test) for eq 1 0.6064207993490563 Order of pole (six term test) -11.165236470333737 TOP MAIN SOLVE Loop x[1] 3.5699999999999688 y[1] (analytic) -1.1351564952755753 y[1] (numeric) -1.1351564952756084 absolute error 3.3084646133829665e-14 relative error 2.9145449346874327e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08452858587521461 Order of pole (three term test) -10.827397050868985 Radius of convergence (six term test) for eq 1 0.40725429979823247 Order of pole (six term test) -11.531201460914474 TOP MAIN SOLVE Loop x[1] 3.5799999999999685 y[1] (analytic) -1.1451466742690795 y[1] (numeric) -1.145146674269112 absolute error 3.26405569239796e-14 relative error 2.8503385336916174e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06113734402003075 Order of pole (three term test) -19.57488739504947 Radius of convergence (six term test) for eq 1 3.044881830780925 Order of pole (six term test) -16.883367028209662 TOP MAIN SOLVE Loop x[1] 3.5899999999999683 y[1] (analytic) -1.155135414320019 y[1] (numeric) -1.1551354143200527 absolute error 3.375077994860476e-14 relative error 2.9218028925615153e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7133042661536341 Order of pole (six term test) -10.89421495159182 TOP MAIN SOLVE Loop x[1] 3.599999999999968 y[1] (analytic) -1.1651226186731112 y[1] (numeric) -1.1651226186731454 absolute error 3.419486915845482e-14 relative error 2.934873000525672e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.244878048780489 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.183589210684471 Order of pole (six term test) -11.40736489304361 TOP MAIN SOLVE Loop x[1] 3.609999999999968 y[1] (analytic) -1.175108190872849 y[1] (numeric) -1.1751081908728824 absolute error 3.352873534367973e-14 relative error 2.8532466715915917e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8549571836346334 Order of pole (three term test) -39.969212994427075 Radius of convergence (six term test) for eq 1 1.154926953257648 Order of pole (six term test) -11.718302835097127 TOP MAIN SOLVE Loop x[1] 3.6199999999999677 y[1] (analytic) -1.1850920347629768 y[1] (numeric) -1.18509203476301 absolute error 3.3306690738754696e-14 relative error 2.8104729220812095e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.00652061275879335 Order of pole (three term test) -0.7225550242012146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6299999999999675 y[1] (analytic) -1.1950740544859726 y[1] (numeric) -1.1950740544860066 absolute error 3.397282455352979e-14 relative error 2.8427380233053627e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11618016186799561 Order of pole (three term test) -37.5893538322528 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6399999999999673 y[1] (analytic) -1.2050541544825248 y[1] (numeric) -1.2050541544825595 absolute error 3.4638958368304884e-14 relative error 2.8744731711397292e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.649999999999967 y[1] (analytic) -1.2150322394910105 y[1] (numeric) -1.2150322394910456 absolute error 3.5083047578154947e-14 relative error 2.8874170114902957e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36042621741746406 Order of pole (three term test) -110.32401063602663 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.659999999999967 y[1] (analytic) -1.2250082145469752 y[1] (numeric) -1.2250082145470096 absolute error 3.441691376337985e-14 relative error 2.8095251407034606e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1051694758924789 Order of pole (three term test) -12.73827701099561 Radius of convergence (six term test) for eq 1 0.7897148146284133 Order of pole (six term test) -11.538603523032195 TOP MAIN SOLVE Loop x[1] 3.6699999999999666 y[1] (analytic) -1.2349819849826102 y[1] (numeric) -1.2349819849826449 absolute error 3.4638958368304884e-14 relative error 2.804814870946691e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.003326925605745242 Order of pole (three term test) -25.135442550631502 Radius of convergence (six term test) for eq 1 1.1370704528473043 Order of pole (six term test) -10.846966801858763 TOP MAIN SOLVE Loop x[1] 3.6799999999999664 y[1] (analytic) -1.2449534564262388 y[1] (numeric) -1.2449534564262739 absolute error 3.5083047578154947e-14 relative error 2.8180208181327742e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.024133337425949225 Order of pole (three term test) -1.4331164246907517 Radius of convergence (six term test) for eq 1 1.5047501698355314 Order of pole (six term test) -10.469987115554972 TOP MAIN SOLVE Loop x[1] 3.689999999999966 y[1] (analytic) -1.2549225348017943 y[1] (numeric) -1.25492253480183 absolute error 3.574918139293004e-14 relative error 2.848716187774599e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.12555893637464147 Order of pole (six term test) -12.252577877256984 TOP MAIN SOLVE Loop x[1] 3.699999999999966 y[1] (analytic) -1.264889126328303 y[1] (numeric) -1.2648891263283393 absolute error 3.6193270602780103e-14 relative error 2.8613789026585486e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14351468409761461 Order of pole (three term test) -31.383389321174327 Radius of convergence (six term test) for eq 1 0.3776946303227743 Order of pole (six term test) -11.410045029107517 TOP MAIN SOLVE Loop x[1] 3.7099999999999658 y[1] (analytic) -1.2748531375193672 y[1] (numeric) -1.2748531375194034 absolute error 3.6193270602780103e-14 relative error 2.839014905921292e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1790401698694395 Order of pole (six term test) -11.70190459907411 TOP MAIN SOLVE Loop x[1] 3.7199999999999656 y[1] (analytic) -1.2848144751826474 y[1] (numeric) -1.2848144751826835 absolute error 3.6193270602780103e-14 relative error 2.8170036454200846e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7299999999999653 y[1] (analytic) -1.2947730464193468 y[1] (numeric) -1.2947730464193834 absolute error 3.6637359812630166e-14 relative error 2.8296356580753366e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.739999999999965 y[1] (analytic) -1.3047287586236989 y[1] (numeric) -1.3047287586237348 absolute error 3.597122599785507e-14 relative error 2.7569888193312716e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12270380991396973 Order of pole (three term test) 10.32365248434483 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.749999999999965 y[1] (analytic) -1.3146815194824462 y[1] (numeric) -1.314681519482483 absolute error 3.68594044175552e-14 relative error 2.8036755572608738e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.9876840025061787 Order of pole (six term test) -11.894950319143474 TOP MAIN SOLVE Loop x[1] 3.7599999999999647 y[1] (analytic) -1.3246312369743354 y[1] (numeric) -1.3246312369743722 absolute error 3.68594044175552e-14 relative error 2.7826162775496546e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7699999999999645 y[1] (analytic) -1.334577819369596 y[1] (numeric) -1.3345778193696327 absolute error 3.6637359812630166e-14 relative error 2.7452396766144566e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.300668173514567 Order of pole (three term test) 77.85625212868061 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7799999999999643 y[1] (analytic) -1.3445211752294308 y[1] (numeric) -1.3445211752294677 absolute error 3.68594044175552e-14 relative error 2.74145213155646e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.4702510463522399 Order of pole (six term test) -12.163576152955189 TOP MAIN SOLVE Loop x[1] 3.789999999999964 y[1] (analytic) -1.354461213405504 y[1] (numeric) -1.3544612134055418 absolute error 3.774758283725532e-14 relative error 2.786907625235504e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1756111097752229 Order of pole (six term test) -10.970436646639698 TOP MAIN SOLVE Loop x[1] 3.799999999999964 y[1] (analytic) -1.3643978430394315 y[1] (numeric) -1.3643978430394692 absolute error 3.774758283725532e-14 relative error 2.766611148634336e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04796562813285247 Order of pole (three term test) -1.5803377296340178 Radius of convergence (six term test) for eq 1 2.390490788270867 Order of pole (six term test) -11.496914348666095 TOP MAIN SOLVE Loop x[1] 3.8099999999999636 y[1] (analytic) -1.3743309735622646 y[1] (numeric) -1.3743309735623028 absolute error 3.8191672047105385e-14 relative error 2.778928277233875e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7554668641065413 Order of pole (six term test) -12.051479698150358 TOP MAIN SOLVE Loop x[1] 3.8199999999999634 y[1] (analytic) -1.3842605146939868 y[1] (numeric) -1.3842605146940248 absolute error 3.7969627442180354e-14 relative error 2.7429538760320814e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.829999999999963 y[1] (analytic) -1.3941863764429976 y[1] (numeric) -1.3941863764430362 absolute error 3.863576125695545e-14 relative error 2.7712049055828012e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.839999999999963 y[1] (analytic) -1.4041084691056112 y[1] (numeric) -1.404108469105649 absolute error 3.774758283725532e-14 relative error 2.68836658048931e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.031454003560498475 Order of pole (three term test) -28.882536055047712 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.849999999999963 y[1] (analytic) -1.414026703265539 y[1] (numeric) -1.414026703265577 absolute error 3.7969627442180354e-14 relative error 2.6852128997630443e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8599999999999626 y[1] (analytic) -1.4239409897933895 y[1] (numeric) -1.4239409897934288 absolute error 3.930189507173054e-14 relative error 2.7600789185395355e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013107089005319058 Order of pole (three term test) -25.79695921463622 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8699999999999624 y[1] (analytic) -1.4338512398461611 y[1] (numeric) -1.4338512398462007 absolute error 3.952393967665557e-14 relative error 2.756488161275093e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1493874628606386 Order of pole (six term test) -10.743472848900911 TOP MAIN SOLVE Loop x[1] 3.879999999999962 y[1] (analytic) -1.4437573648667315 y[1] (numeric) -1.4437573648667705 absolute error 3.907985046680551e-14 relative error 2.706815661536926e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2391377245508982 Order of pole (three term test) -18.45883233532934 Radius of convergence (six term test) for eq 1 0.5623222042292821 Order of pole (six term test) -11.53416691739774 TOP MAIN SOLVE Loop x[1] 3.889999999999962 y[1] (analytic) -1.4536592765833523 y[1] (numeric) -1.453659276583392 absolute error 3.9745984281580604e-14 relative error 2.7342022248156157e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07196312786673137 Order of pole (three term test) -16.116784113019015 Radius of convergence (six term test) for eq 1 0.969699083699789 Order of pole (six term test) -8.977250037075217 TOP MAIN SOLVE Loop x[1] 3.8999999999999617 y[1] (analytic) -1.46355688700915 y[1] (numeric) -1.4635568870091895 absolute error 3.952393967665557e-14 relative error 2.700540035544821e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9365498551374902 Order of pole (six term test) -14.192462808578362 TOP MAIN SOLVE Loop x[1] 3.9099999999999615 y[1] (analytic) -1.4734501084416147 y[1] (numeric) -1.4734501084416538 absolute error 3.907985046680551e-14 relative error 2.6522683220090884e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5734880157600948 Order of pole (three term test) -247.46631826638915 Radius of convergence (six term test) for eq 1 1.8594819969912195 Order of pole (six term test) -12.037129076931803 TOP MAIN SOLVE Loop x[1] 3.9199999999999613 y[1] (analytic) -1.4833388534620984 y[1] (numeric) -1.4833388534621381 absolute error 3.9745984281580604e-14 relative error 2.679494586743539e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12690223572068876 Order of pole (three term test) -10.33881002394937 Radius of convergence (six term test) for eq 1 0.9724652636068543 Order of pole (six term test) -11.779428640566946 TOP MAIN SOLVE Loop x[1] 3.929999999999961 y[1] (analytic) -1.4932230349353164 y[1] (numeric) -1.4932230349353555 absolute error 3.907985046680551e-14 relative error 2.617147576249276e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.167437859613633 Order of pole (six term test) -11.655198409822443 TOP MAIN SOLVE Loop x[1] 3.939999999999961 y[1] (analytic) -1.5031025660088362 y[1] (numeric) -1.503102566008876 absolute error 3.9745984281580604e-14 relative error 2.644262951870109e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.901053038109817 Order of pole (six term test) -10.780900189451533 TOP MAIN SOLVE Loop x[1] 3.9499999999999607 y[1] (analytic) -1.5129773601125842 y[1] (numeric) -1.5129773601126244 absolute error 4.0190073491430667e-14 relative error 2.6563565689072855e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4688794945816455 Order of pole (six term test) -12.457719813541702 TOP MAIN SOLVE Loop x[1] 3.9599999999999604 y[1] (analytic) -1.5228473309583395 y[1] (numeric) -1.52284733095838 absolute error 4.063416270128073e-14 relative error 2.6683017972464346e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09201473132161314 Order of pole (three term test) -3.4033375879106615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9699999999999602 y[1] (analytic) -1.532712392539234 y[1] (numeric) -1.5327123925392754 absolute error 4.1300296516055823e-14 relative error 2.6945888032936113e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7920784123808462 Order of pole (six term test) -11.013175550479911 TOP MAIN SOLVE Loop x[1] 3.97999999999996 y[1] (analytic) -1.5425724591292544 y[1] (numeric) -1.5425724591292962 absolute error 4.1744385725905886e-14 relative error 2.7061539624186992e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03107867600191713 Order of pole (three term test) -1.153759875881356 Radius of convergence (six term test) for eq 1 1.3042951013587218 Order of pole (six term test) -12.21571398374459 TOP MAIN SOLVE Loop x[1] 3.98999999999996 y[1] (analytic) -1.5524274452827411 y[1] (numeric) -1.5524274452827824 absolute error 4.1300296516055823e-14 relative error 2.660368872088181e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16561282791669227 Order of pole (three term test) 12.083323093936228 Radius of convergence (six term test) for eq 1 2.122708817386623 Order of pole (six term test) -12.18324062338901 TOP MAIN SOLVE Loop x[1] 3.9999999999999596 y[1] (analytic) -1.5622772658338875 y[1] (numeric) -1.5622772658339297 absolute error 4.218847493575595e-14 relative error 2.7004473442962928e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.127179805781709 Order of pole (six term test) -12.489247751056793 TOP MAIN SOLVE Loop x[1] 4.00999999999996 y[1] (analytic) -1.5721218358962494 y[1] (numeric) -1.5721218358962905 absolute error 4.107825191113079e-14 relative error 2.612917839647748e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.01999999999996 y[1] (analytic) -1.5819610708622365 y[1] (numeric) -1.5819610708622778 absolute error 4.1300296516055823e-14 relative error 2.6107024551208074e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.029999999999959 y[1] (analytic) -1.5917948864026255 y[1] (numeric) -1.5917948864026672 absolute error 4.1744385725905886e-14 relative error 2.622472661678544e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8989717736823027 Order of pole (six term test) -11.961705597441403 TOP MAIN SOLVE Loop x[1] 4.039999999999959 y[1] (analytic) -1.6016231984660596 y[1] (numeric) -1.6016231984661016 absolute error 4.196643033083092e-14 relative error 2.620243660994914e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08885838172144965 Order of pole (three term test) -18.646663401365615 Radius of convergence (six term test) for eq 1 0.708584789300008 Order of pole (six term test) -11.499915123889899 TOP MAIN SOLVE Loop x[1] 4.049999999999959 y[1] (analytic) -1.6114459232785534 y[1] (numeric) -1.611445923278595 absolute error 4.1522341120980855e-14 relative error 2.5767132809832014e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2763167619369222 Order of pole (six term test) -12.01079827379893 TOP MAIN SOLVE Loop x[1] 4.059999999999959 y[1] (analytic) -1.6212629773429963 y[1] (numeric) -1.621262977343038 absolute error 4.1744385725905886e-14 relative error 2.574806574212815e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0699999999999585 y[1] (analytic) -1.631074277438662 y[1] (numeric) -1.6310742774387037 absolute error 4.1744385725905886e-14 relative error 2.5593184996736437e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05969728352411063 Order of pole (three term test) -27.398304107736738 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.079999999999958 y[1] (analytic) -1.6408797406207105 y[1] (numeric) -1.6408797406207531 absolute error 4.263256414560601e-14 relative error 2.5981528743525715e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 3.059970807421137 Order of pole (six term test) -7.836067763614889 TOP MAIN SOLVE Loop x[1] 4.089999999999958 y[1] (analytic) -1.6506792842197004 y[1] (numeric) -1.650679284219743 absolute error 4.263256414560601e-14 relative error 2.5827284896083874e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.014184504641030498 Order of pole (three term test) -4.227031634779315 Radius of convergence (six term test) for eq 1 2.6400508281180537 Order of pole (six term test) -6.1006681248112935 TOP MAIN SOLVE Loop x[1] 4.099999999999958 y[1] (analytic) -1.6604728258410906 y[1] (numeric) -1.6604728258411332 absolute error 4.263256414560601e-14 relative error 2.5674954435951727e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.109999999999958 y[1] (analytic) -1.6702602833647509 y[1] (numeric) -1.6702602833647946 absolute error 4.374278717023117e-14 relative error 2.6189203925816295e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.35783192554614 Order of pole (six term test) -9.537177923135864 TOP MAIN SOLVE Loop x[1] 4.1199999999999575 y[1] (analytic) -1.680041574944475 y[1] (numeric) -1.6800415749445183 absolute error 4.3298697960381105e-14 relative error 2.5772396710963605e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3899966656710172 Order of pole (six term test) -12.052561079869077 TOP MAIN SOLVE Loop x[1] 4.129999999999957 y[1] (analytic) -1.6898166190074817 y[1] (numeric) -1.689816619007525 absolute error 4.3298697960381105e-14 relative error 2.56233117092982e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.00599235023762279 Order of pole (three term test) -0.8608447112787615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.139999999999957 y[1] (analytic) -1.6995853342539302 y[1] (numeric) -1.6995853342539746 absolute error 4.440892098500626e-14 relative error 2.612926817499312e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07180051183052366 Order of pole (three term test) -27.79097479096598 Radius of convergence (six term test) for eq 1 0.7826870943801175 Order of pole (six term test) -11.179341444445082 TOP MAIN SOLVE Loop x[1] 4.149999999999957 y[1] (analytic) -1.7093476396564329 y[1] (numeric) -1.7093476396564775 absolute error 4.463096558993129e-14 relative error 2.6109940748449395e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18864602991682172 Order of pole (three term test) -39.451698937736055 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.159999999999957 y[1] (analytic) -1.7191034544595611 y[1] (numeric) -1.7191034544596058 absolute error 4.463096558993129e-14 relative error 2.5961768312519645e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.169999999999956 y[1] (analytic) -1.7288526981793608 y[1] (numeric) -1.7288526981794048 absolute error 4.39648317751562e-14 relative error 2.5430062272774984e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.31366389339735 Order of pole (six term test) -8.992365096712529 TOP MAIN SOLVE Loop x[1] 4.179999999999956 y[1] (analytic) -1.7385952906028608 y[1] (numeric) -1.738595290602906 absolute error 4.529709940470639e-14 relative error 2.6053849132997216e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29266455452580464 Order of pole (three term test) -7.146766647914013 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.189999999999956 y[1] (analytic) -1.7483311517875946 y[1] (numeric) -1.74833115178764 absolute error 4.551914400963142e-14 relative error 2.603576785959e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5577098751604271 Order of pole (six term test) -11.845683877456665 TOP MAIN SOLVE Loop x[1] 4.199999999999956 y[1] (analytic) -1.7580602020611056 y[1] (numeric) -1.7580602020611507 absolute error 4.5075054799781356e-14 relative error 2.5639084911276927e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08001554303477752 Order of pole (three term test) -19.701112298426267 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2099999999999556 y[1] (analytic) -1.767782362020463 y[1] (numeric) -1.7677823620205089 absolute error 4.596323321948148e-14 relative error 2.60005044777958e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 16.127340122725386 Order of pole (six term test) -51.73877458896821 TOP MAIN SOLVE Loop x[1] 4.219999999999955 y[1] (analytic) -1.7774975525317824 y[1] (numeric) -1.7774975525318282 absolute error 4.574118861455645e-14 relative error 2.5733474878435072e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.830661892639856 Order of pole (six term test) -10.737168106757018 TOP MAIN SOLVE Loop x[1] 4.229999999999955 y[1] (analytic) -1.7872056947297343 y[1] (numeric) -1.7872056947297799 absolute error 4.551914400963142e-14 relative error 2.5469448840646705e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09927340622594748 Order of pole (three term test) -33.561802164050995 Radius of convergence (six term test) for eq 1 0.11745691509834615 Order of pole (six term test) -11.178948779989486 TOP MAIN SOLVE Loop x[1] 4.239999999999955 y[1] (analytic) -1.7969067100170633 y[1] (numeric) -1.7969067100171099 absolute error 4.6629367034256575e-14 relative error 2.5949798492217654e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1347267396401954 Order of pole (six term test) -12.173895821340581 TOP MAIN SOLVE Loop x[1] 4.249999999999955 y[1] (analytic) -1.806600520064109 y[1] (numeric) -1.806600520064155 absolute error 4.596323321948148e-14 relative error 2.5441835485495394e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03711510636669449 Order of pole (three term test) -19.431750011844844 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2599999999999545 y[1] (analytic) -1.8162870468083148 y[1] (numeric) -1.816287046808361 absolute error 4.618527782440651e-14 relative error 2.5428402358297917e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.269999999999954 y[1] (analytic) -1.825966212453753 y[1] (numeric) -1.8259662124538 absolute error 4.707345624410664e-14 relative error 2.578002589700103e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16576775733216104 Order of pole (three term test) -11.255877896753127 Radius of convergence (six term test) for eq 1 0.4152793041539047 Order of pole (six term test) -10.664971031435648 TOP MAIN SOLVE Loop x[1] 4.279999999999954 y[1] (analytic) -1.8356379394706432 y[1] (numeric) -1.8356379394706899 absolute error 4.6629367034256575e-14 relative error 2.5402268078912903e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.501744921434613 Order of pole (six term test) -11.275097011242433 TOP MAIN SOLVE Loop x[1] 4.289999999999954 y[1] (analytic) -1.8453021505948657 y[1] (numeric) -1.845302150594913 absolute error 4.729550084903167e-14 relative error 2.563022041338061e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0813825286265715 Order of pole (three term test) -21.388830785155157 Radius of convergence (six term test) for eq 1 0.6522920237917529 Order of pole (six term test) -12.022114140441019 TOP MAIN SOLVE Loop x[1] 4.299999999999954 y[1] (analytic) -1.8549587688274893 y[1] (numeric) -1.8549587688275364 absolute error 4.707345624410664e-14 relative error 2.537709033493049e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.009824488512894807 Order of pole (three term test) -23.98605625333133 Radius of convergence (six term test) for eq 1 1.1725531078893507 Order of pole (six term test) -11.313757218223651 TOP MAIN SOLVE Loop x[1] 4.309999999999953 y[1] (analytic) -1.8646077174342852 y[1] (numeric) -1.8646077174343325 absolute error 4.729550084903167e-14 relative error 2.5364853103853204e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06992771399716656 Order of pole (three term test) -6.869960806023422 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.319999999999953 y[1] (analytic) -1.8742489199452521 y[1] (numeric) -1.8742489199453 absolute error 4.796163466380676e-14 relative error 2.558978914348674e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22288923100778638 Order of pole (three term test) -45.94979655155228 Radius of convergence (six term test) for eq 1 0.6757386782808946 Order of pole (six term test) -11.803879078667695 TOP MAIN SOLVE Loop x[1] 4.329999999999953 y[1] (analytic) -1.8838823001541376 y[1] (numeric) -1.8838823001541858 absolute error 4.8183679268731794e-14 relative error 2.557679917943358e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19843252088536734 Order of pole (three term test) -15.05253638790802 Radius of convergence (six term test) for eq 1 6.46166777900664 Order of pole (six term test) -15.847005301228934 TOP MAIN SOLVE Loop x[1] 4.339999999999953 y[1] (analytic) -1.8935077821179587 y[1] (numeric) -1.893507782118007 absolute error 4.8405723873656825e-14 relative error 2.556404802282525e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.349999999999953 y[1] (analytic) -1.9031252901565263 y[1] (numeric) -1.9031252901565745 absolute error 4.8183679268731794e-14 relative error 2.5318185575038432e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01749327306957211 Order of pole (three term test) -0.9767739876528422 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.359999999999952 y[1] (analytic) -1.912734748851967 y[1] (numeric) -1.912734748852016 absolute error 4.907185768843192e-14 relative error 2.5655338628570998e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07488442498874932 Order of pole (three term test) -13.801098474000735 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.369999999999952 y[1] (analytic) -1.9223360830482525 y[1] (numeric) -1.922336083048301 absolute error 4.8405723873656825e-14 relative error 2.518067693808242e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.379999999999952 y[1] (analytic) -1.931929217850716 y[1] (numeric) -1.9319292178507643 absolute error 4.8405723873656825e-14 relative error 2.505564045845764e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17423008787160346 Order of pole (three term test) 1.5892090674328625 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.389999999999952 y[1] (analytic) -1.9415140786255831 y[1] (numeric) -1.9415140786256326 absolute error 4.951594689828198e-14 relative error 2.55037794695441e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0690767827308043 Order of pole (three term test) -2.5165588708602815 Radius of convergence (six term test) for eq 1 1.659863845420416 Order of pole (six term test) -11.73838793867476 TOP MAIN SOLVE Loop x[1] 4.3999999999999515 y[1] (analytic) -1.9510905909994998 y[1] (numeric) -1.9510905909995502 absolute error 5.040412531798211e-14 relative error 2.583382112060784e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.046857142857144 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.013852499337798464 Order of pole (three term test) -18.80159495970031 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.409999999999951 y[1] (analytic) -1.9606586808590545 y[1] (numeric) -1.9606586808591049 absolute error 5.040412531798211e-14 relative error 2.5707751078784273e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21527262059734878 Order of pole (three term test) -11.219683357474194 Radius of convergence (six term test) for eq 1 1.1528870101857358 Order of pole (six term test) -12.223978138754058 TOP MAIN SOLVE Loop x[1] 4.419999999999951 y[1] (analytic) -1.970218274350306 y[1] (numeric) -1.9702182743503565 absolute error 5.040412531798211e-14 relative error 2.5583015838487862e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12418940210631066 Order of pole (three term test) -31.544092734531414 Radius of convergence (six term test) for eq 1 2.6164109813571104 Order of pole (six term test) -15.251153523714486 TOP MAIN SOLVE Loop x[1] 4.429999999999951 y[1] (analytic) -1.9797692978783137 y[1] (numeric) -1.9797692978783634 absolute error 4.973799150320701e-14 relative error 2.5123124980526973e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.044777993721034554 Order of pole (three term test) -1.5750592657454674 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.439999999999951 y[1] (analytic) -1.9893116781066622 y[1] (numeric) -1.989311678106712 absolute error 4.973799150320701e-14 relative error 2.500261374353636e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09465684508758945 Order of pole (three term test) -3.40141339890632 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.44999999999995 y[1] (analytic) -1.9988453419569947 y[1] (numeric) -1.998845341957045 absolute error 5.040412531798211e-14 relative error 2.521662094608746e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16975774532937607 Order of pole (three term test) -12.0656508646015 Radius of convergence (six term test) for eq 1 1.2839558568185365 Order of pole (six term test) -10.504405251124908 TOP MAIN SOLVE Loop x[1] 4.45999999999995 y[1] (analytic) -2.008370216608541 y[1] (numeric) -2.0083702166085917 absolute error 5.062616992290714e-14 relative error 2.520758847360206e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 13.316538521293293 Order of pole (three term test) -791.1788914015424 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.46999999999995 y[1] (analytic) -2.017886229497647 y[1] (numeric) -2.0178862294976976 absolute error 5.062616992290714e-14 relative error 2.508871371579285e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.610976745147205 Order of pole (six term test) -9.469697857322021 TOP MAIN SOLVE Loop x[1] 4.47999999999995 y[1] (analytic) -2.0273933083173032 y[1] (numeric) -2.027393308317355 absolute error 5.1958437552457326e-14 relative error 2.5628198208655337e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.032618990651771027 Order of pole (three term test) -22.44914750324562 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.48999999999995 y[1] (analytic) -2.036891381016684 y[1] (numeric) -2.036891381016736 absolute error 5.1958437552457326e-14 relative error 2.5508693314084837e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22118097530290182 Order of pole (three term test) -35.55302491589858 Radius of convergence (six term test) for eq 1 0.06275695596629728 Order of pole (six term test) -11.901757657263293 TOP MAIN SOLVE Loop x[1] 4.499999999999949 y[1] (analytic) -2.0463803758006724 y[1] (numeric) -2.046380375800723 absolute error 5.062616992290714e-14 relative error 2.4739374224647265e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.509999999999949 y[1] (analytic) -2.0558602211293904 y[1] (numeric) -2.055860221129442 absolute error 5.1514348342607263e-14 relative error 2.5057320440933367e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.232021696687681 Order of pole (six term test) -11.9401395715062 TOP MAIN SOLVE Loop x[1] 4.519999999999949 y[1] (analytic) -2.0653308457177424 y[1] (numeric) -2.065330845717795 absolute error 5.240252676230739e-14 relative error 2.5372461206861264e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24744852891688965 Order of pole (three term test) -23.629942783126182 Radius of convergence (six term test) for eq 1 1.4865232265728705 Order of pole (six term test) -12.172500858946872 TOP MAIN SOLVE Loop x[1] 4.529999999999949 y[1] (analytic) -2.074792178534943 y[1] (numeric) -2.0747921785349948 absolute error 5.1958437552457326e-14 relative error 2.504271902024729e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06094349284292414 Order of pole (three term test) 1.9721881220687532 Radius of convergence (six term test) for eq 1 1.374517749137235 Order of pole (six term test) -11.390259887464179 TOP MAIN SOLVE Loop x[1] 4.5399999999999485 y[1] (analytic) -2.0842441488040486 y[1] (numeric) -2.0842441488041 absolute error 5.1514348342607263e-14 relative error 2.471608154551687e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.019495416659133232 Order of pole (three term test) -23.80557865808458 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.549999999999948 y[1] (analytic) -2.093686686001496 y[1] (numeric) -2.0936866860015484 absolute error 5.240252676230739e-14 relative error 2.502882934331749e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.559999999999948 y[1] (analytic) -2.1031197198566405 y[1] (numeric) -2.103119719856693 absolute error 5.240252676230739e-14 relative error 2.4916568594525573e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5388021835125485 Order of pole (six term test) -10.938619120810532 TOP MAIN SOLVE Loop x[1] 4.569999999999948 y[1] (analytic) -2.112543180351286 y[1] (numeric) -2.112543180351339 absolute error 5.284661597215745e-14 relative error 2.5015638242892534e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.39412730945786595 Order of pole (six term test) -13.309353982868517 TOP MAIN SOLVE Loop x[1] 4.579999999999948 y[1] (analytic) -2.121956997719227 y[1] (numeric) -2.12195699771928 absolute error 5.284661597215745e-14 relative error 2.4904659250380342e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26397776321439065 Order of pole (three term test) -10.836760751169464 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5899999999999475 y[1] (analytic) -2.1313611024457835 y[1] (numeric) -2.1313611024458363 absolute error 5.284661597215745e-14 relative error 2.4794773589287523e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18223992814614146 Order of pole (three term test) -13.896905648350693 Radius of convergence (six term test) for eq 1 0.9998916669994624 Order of pole (six term test) -11.810756468666078 TOP MAIN SOLVE Loop x[1] 4.599999999999947 y[1] (analytic) -2.140755425267338 y[1] (numeric) -2.140755425267392 absolute error 5.3734794391857577e-14 relative error 2.5100856341469815e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26123461575734097 Order of pole (three term test) -62.298018218819685 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.609999999999947 y[1] (analytic) -2.1501398971708787 y[1] (numeric) -2.150139897170933 absolute error 5.417888360170764e-14 relative error 2.5197841160473042e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36224248020078814 Order of pole (three term test) -22.179811956253168 Radius of convergence (six term test) for eq 1 1.609922806156973 Order of pole (six term test) -10.736265123084127 TOP MAIN SOLVE Loop x[1] 4.619999999999947 y[1] (analytic) -2.159514449393534 y[1] (numeric) -2.1595144493935874 absolute error 5.3290705182007514e-14 relative error 2.4677169998549152e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1249517699125888 Order of pole (six term test) -12.433690312911436 TOP MAIN SOLVE Loop x[1] 4.629999999999947 y[1] (analytic) -2.168879013422112 y[1] (numeric) -2.1688790134221656 absolute error 5.3734794391857577e-14 relative error 2.477537661590144e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32971162955671246 Order of pole (three term test) -73.29529226418005 Radius of convergence (six term test) for eq 1 1.2607857111357061 Order of pole (six term test) -12.210063624924476 TOP MAIN SOLVE Loop x[1] 4.639999999999946 y[1] (analytic) -2.1782335209926447 y[1] (numeric) -2.178233520992699 absolute error 5.417888360170764e-14 relative error 2.4872853658508446e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14341265756658095 Order of pole (three term test) -23.258294027965356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.649999999999946 y[1] (analytic) -2.1875779040899284 y[1] (numeric) -2.187577904089982 absolute error 5.3734794391857577e-14 relative error 2.456360264537057e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.051524999180832205 Order of pole (three term test) -32.03629914551697 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.659999999999946 y[1] (analytic) -2.19691209494706 y[1] (numeric) -2.196912094947115 absolute error 5.46229728115577e-14 relative error 2.4863522276194656e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15649731154796442 Order of pole (three term test) -13.876105390051787 Radius of convergence (six term test) for eq 1 1.2567299703606951 Order of pole (six term test) -11.550762544176763 TOP MAIN SOLVE Loop x[1] 4.669999999999946 y[1] (analytic) -2.2062360260449876 y[1] (numeric) -2.206236026045042 absolute error 5.46229728115577e-14 relative error 2.4758444775048687e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3129216802363282 Order of pole (three term test) -33.865606311693924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6799999999999455 y[1] (analytic) -2.215549630112045 y[1] (numeric) -2.2155496301120996 absolute error 5.46229728115577e-14 relative error 2.465436660464036e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10019049807238115 Order of pole (three term test) -29.67683833342907 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.689999999999945 y[1] (analytic) -2.224852840123499 y[1] (numeric) -2.2248528401235546 absolute error 5.551115123125783e-14 relative error 2.495048222073711e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20788899919851705 Order of pole (three term test) -8.563662743080286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.699999999999945 y[1] (analytic) -2.2341455893010957 y[1] (numeric) -2.2341455893011513 absolute error 5.551115123125783e-14 relative error 2.4846702693454857e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15178990537836304 Order of pole (three term test) -15.184326901697263 Radius of convergence (six term test) for eq 1 0.8525599238146337 Order of pole (six term test) -10.410767613566133 TOP MAIN SOLVE Loop x[1] 4.709999999999945 y[1] (analytic) -2.2434278111126003 y[1] (numeric) -2.2434278111126553 absolute error 5.5067062021407764e-14 relative error 2.4545947834219785e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5333227816796915 Order of pole (three term test) -37.456636943035214 Radius of convergence (six term test) for eq 1 0.5586724336863099 Order of pole (six term test) -8.68554880908203 TOP MAIN SOLVE Loop x[1] 4.719999999999945 y[1] (analytic) -2.2526994392713418 y[1] (numeric) -2.2526994392713977 absolute error 5.595524044110789e-14 relative error 2.4839194907957706e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7299999999999445 y[1] (analytic) -2.2619604077357667 y[1] (numeric) -2.261960407735822 absolute error 5.551115123125783e-14 relative error 2.454116837828508e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.739999999999944 y[1] (analytic) -2.271210650708973 y[1] (numeric) -2.2712106507090297 absolute error 5.684341886080802e-14 relative error 2.5027805696078425e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2327640178115173 Order of pole (six term test) -11.556564382531237 TOP MAIN SOLVE Loop x[1] 4.749999999999944 y[1] (analytic) -2.2804501026382704 y[1] (numeric) -2.280450102638327 absolute error 5.639932965095795e-14 relative error 2.4731665729370327e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30507922136713445 Order of pole (three term test) -18.82064848347669 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999944 y[1] (analytic) -2.2896786982147144 y[1] (numeric) -2.2896786982147717 absolute error 5.728750807065808e-14 relative error 2.501988952219616e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.018526286313912933 Order of pole (three term test) -24.29960037524307 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999944 y[1] (analytic) -2.2988963723726665 y[1] (numeric) -2.298896372372723 absolute error 5.639932965095795e-14 relative error 2.453321964780379e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.779999999999943 y[1] (analytic) -2.3081030602893313 y[1] (numeric) -2.3081030602893886 absolute error 5.728750807065808e-14 relative error 2.4820169019435737e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08407704482336428 Order of pole (three term test) -0.3672469913697853 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999943 y[1] (analytic) -2.317298697384317 y[1] (numeric) -2.3172986973843743 absolute error 5.728750807065808e-14 relative error 2.4721676206577144e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09054225985316584 Order of pole (three term test) -32.056721555398816 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999943 y[1] (analytic) -2.3264832193191776 y[1] (numeric) -2.326483219319234 absolute error 5.639932965095795e-14 relative error 2.4242310962149414e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.282026150226293 Order of pole (three term test) -156.32909492783392 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.809999999999943 y[1] (analytic) -2.335656561996961 y[1] (numeric) -2.335656561997019 absolute error 5.773159728050814e-14 relative error 2.471750265850226e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 985.3647567570687 Order of pole (three term test) -31132.551351361206 Radius of convergence (six term test) for eq 1 1.5981090190342453 Order of pole (six term test) -11.392311248831678 TOP MAIN SOLVE Loop x[1] 4.8199999999999426 y[1] (analytic) -2.3448186615617717 y[1] (numeric) -2.34481866156183 absolute error 5.81756864903582e-14 relative error 2.481031366903663e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31773691654879765 Order of pole (three term test) -44.4599540311174 Radius of convergence (six term test) for eq 1 1.783083307201762 Order of pole (six term test) -11.639929674707684 TOP MAIN SOLVE Loop x[1] 4.829999999999942 y[1] (analytic) -2.353969454398311 y[1] (numeric) -2.3539694543983685 absolute error 5.728750807065808e-14 relative error 2.4336555414352696e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 3.3162303679436174 Order of pole (six term test) -8.788472125746026 TOP MAIN SOLVE Loop x[1] 4.839999999999942 y[1] (analytic) -2.3631088771314315 y[1] (numeric) -2.3631088771314888 absolute error 5.728750807065808e-14 relative error 2.424243276517972e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.869189285878251 Order of pole (six term test) -11.866376581628474 TOP MAIN SOLVE Loop x[1] 4.849999999999942 y[1] (analytic) -2.372236866625692 y[1] (numeric) -2.37223686662575 absolute error 5.773159728050814e-14 relative error 2.4336354473162916e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21834373984365432 Order of pole (three term test) -21.422192393713367 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.859999999999942 y[1] (analytic) -2.3813533599849124 y[1] (numeric) -2.3813533599849697 absolute error 5.728750807065808e-14 relative error 2.4056701971781726e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5580384075338837 Order of pole (three term test) -65.4032462298768 Radius of convergence (six term test) for eq 1 1.1586369988946006 Order of pole (six term test) -11.3408837399446 TOP MAIN SOLVE Loop x[1] 4.8699999999999415 y[1] (analytic) -2.3904582945517205 y[1] (numeric) -2.3904582945517783 absolute error 5.773159728050814e-14 relative error 2.4150848986610105e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1806670718388572 Order of pole (three term test) -43.36001110415514 Radius of convergence (six term test) for eq 1 2.7395646590613327 Order of pole (six term test) -13.608836359333102 TOP MAIN SOLVE Loop x[1] 4.879999999999941 y[1] (analytic) -2.399551607907114 y[1] (numeric) -2.399551607907173 absolute error 5.861977570020827e-14 relative error 2.4429470700709936e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16823973263183503 Order of pole (three term test) -56.25727733027695 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.889999999999941 y[1] (analytic) -2.4086332378700135 y[1] (numeric) -2.4086332378700717 absolute error 5.81756864903582e-14 relative error 2.4152986671313952e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.899999999999941 y[1] (analytic) -2.4177031224968117 y[1] (numeric) -2.417703122496871 absolute error 5.906386491005833e-14 relative error 2.4429742576938836e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0477743026238837 Order of pole (six term test) -11.697956964610857 TOP MAIN SOLVE Loop x[1] 4.909999999999941 y[1] (analytic) -2.4267612000809398 y[1] (numeric) -2.426761200080999 absolute error 5.906386491005833e-14 relative error 2.43385566359345e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2974808399894182 Order of pole (six term test) -11.938132223589724 TOP MAIN SOLVE Loop x[1] 4.91999999999994 y[1] (analytic) -2.435807409152416 y[1] (numeric) -2.4358074091524755 absolute error 5.950795411990839e-14 relative error 2.4430484075346202e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.92999999999994 y[1] (analytic) -2.4448416884774082 y[1] (numeric) -2.444841688477467 absolute error 5.861977570020827e-14 relative error 2.3976920868326378e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4121362229102166 Order of pole (three term test) -49.33071649712515 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.93999999999994 y[1] (analytic) -2.4538639770577846 y[1] (numeric) -2.453863977057845 absolute error 6.039613253960852e-14 relative error 2.461266521057303e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 10.065692577440155 Order of pole (three term test) -907.8659409701984 Radius of convergence (six term test) for eq 1 1.2228711758900384 Order of pole (six term test) -11.360056490091353 TOP MAIN SOLVE Loop x[1] 4.94999999999994 y[1] (analytic) -2.462874214130686 y[1] (numeric) -2.4628742141307445 absolute error 5.861977570020827e-14 relative error 2.3801368077946737e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.95999999999994 y[1] (analytic) -2.4718723391680646 y[1] (numeric) -2.4718723391681237 absolute error 5.906386491005833e-14 relative error 2.3894383206673574e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.969999999999939 y[1] (analytic) -2.4808582918762627 y[1] (numeric) -2.480858291876322 absolute error 5.906386491005833e-14 relative error 2.380783501559397e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979999999999939 y[1] (analytic) -2.4898320121955613 y[1] (numeric) -2.4898320121956212 absolute error 5.995204332975845e-14 relative error 2.4078750307693283e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1790836522689991 Order of pole (three term test) -87.50300710770911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.989999999999939 y[1] (analytic) -2.4987934402997456 y[1] (numeric) -2.4987934402998064 absolute error 6.084022174945858e-14 relative error 2.434783954857846e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7616786187365567 Order of pole (six term test) -10.240193689255001 TOP MAIN SOLVE Loop x[1] 4.999999999999939 y[1] (analytic) -2.507742516595666 y[1] (numeric) -2.507742516595727 absolute error 6.084022174945858e-14 relative error 2.4260952369245214e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17252137932655856 Order of pole (three term test) -11.651669791525853 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0)); Iterations 601 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.3333333333323%