##############ECHO OF PROBLEM################# ##############temp/sin_sqrt_linpostode.ode################# diff ( y , x , 1 ) = sin(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=0.1 x_end=5.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=10000000 $glob_max_minutes=3 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(sin(sqrt(2.0*x+3.0))-sqrt(2.0*x+3.0)*cos(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 4.9 estimated_steps 4900000.000000001 step_error 2.040816326530612e-17 est_needed_step_err 2.040816326530612e-17 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.2867237127748427e-165 estimated_step_error 1.2867237127748427e-165 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 8.63505421942882e-158 estimated_step_error 8.63505421942882e-158 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 5.794883510567915e-150 estimated_step_error 5.794883510567915e-150 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 3.888876089215124e-142 estimated_step_error 3.888876089215124e-142 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 2.609774653770035e-134 estimated_step_error 2.609774653770035e-134 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 1.751382188113288e-126 estimated_step_error 1.751382188113288e-126 best_h 6.4e-05 opt_iter 7 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.1753220407208776e-118 estimated_step_error 1.1753220407208776e-118 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 7.887309760441773e-111 estimated_step_error 7.887309760441773e-111 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 5.292892142389316e-103 estimated_step_error 5.292892142389316e-103 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 3.5517423369978855e-95 estimated_step_error 3.5517423369978855e-95 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 2.383188463109949e-87 estimated_step_error 2.383188463109949e-87 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 1.5988672231571233e-79 estimated_step_error 1.5988672231571233e-79 best_h 0.004096 opt_iter 13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.072360099752044e-71 estimated_step_error 1.072360099752044e-71 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 7.188159360572428e-64 estimated_step_error 7.188159360572428e-64 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 4.81275435082846e-56 estimated_step_error 4.81275435082846e-56 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 3.214941109100968e-48 estimated_step_error 3.214941109100968e-48 best_h 0.065536 opt_iter 17 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.1378699076843054e-40 estimated_step_error 2.1378699076843054e-40 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 1.4090968449205467e-32 estimated_step_error 1.4090968449205467e-32 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 1.363309554731651 y[1] (numeric) 1.363309554731651 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 1.798729680782335 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] 0.11 y[1] (analytic) 1.3730666575672015 y[1] (numeric) 1.3730666575672015 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 1.8099945275100167 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] 0.12 y[1] (analytic) 1.382811401325752 y[1] (numeric) 1.3828114013257518 absolute error 2.220446049250313e-16 relative error 1.6057475713040044e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8212596585154752 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] 0.13 y[1] (analytic) 1.3925435229800365 y[1] (numeric) 1.3925435229800363 absolute error 2.220446049250313e-16 relative error 1.5945254224432206e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8325250738214138 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] 0.14 y[1] (analytic) 1.4022627623148178 y[1] (numeric) 1.4022627623148174 absolute error 4.440892098500626e-16 relative error 3.1669471784087886e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.843790773450543 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] 0.15000000000000002 y[1] (analytic) 1.4119688618918993 y[1] (numeric) 1.4119688618918993 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 1.8550567574255716 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] 0.16000000000000003 y[1] (analytic) 1.4216615670157993 y[1] (numeric) 1.421661567015799 absolute error 2.220446049250313e-16 relative error 1.5618668329841943e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8663230257692147 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] 0.17000000000000004 y[1] (analytic) 1.4313406257000618 y[1] (numeric) 1.4313406257000616 absolute error 2.220446049250313e-16 relative error 1.5513051256854415e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8775895785041863 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] 0.18000000000000005 y[1] (analytic) 1.4410057886341996 y[1] (numeric) 1.4410057886341991 absolute error 4.440892098500626e-16 relative error 3.081800318588415e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8888564156532086 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] 0.19000000000000006 y[1] (analytic) 1.450656809151242 y[1] (numeric) 1.4506568091512417 absolute error 2.220446049250313e-16 relative error 1.53064876216275e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9001235372390046 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] 0.20000000000000007 y[1] (analytic) 1.460293443195882 y[1] (numeric) 1.4602934431958818 absolute error 2.220446049250313e-16 relative error 1.5205478457746283e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9113909432843008 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] 0.21000000000000008 y[1] (analytic) 1.469915449293199 y[1] (numeric) 1.4699154492931987 absolute error 2.220446049250313e-16 relative error 1.5105944020916325e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.922658633811826 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] 0.22000000000000008 y[1] (analytic) 1.4795225885179497 y[1] (numeric) 1.4795225885179493 absolute error 4.440892098500626e-16 relative error 3.001571002000791e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.933926608844313 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] 0.2300000000000001 y[1] (analytic) 1.4891146244644093 y[1] (numeric) 1.4891146244644091 absolute error 2.220446049250313e-16 relative error 1.491118287854397e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9451948684044984 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] 0.2400000000000001 y[1] (analytic) 1.4986913232167534 y[1] (numeric) 1.4986913232167531 absolute error 2.220446049250313e-16 relative error 1.4815899811072527e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9564634125151223 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] 0.2500000000000001 y[1] (analytic) 1.50825245331996 y[1] (numeric) 1.50825245331996 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 1.9677322411989224 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] 0.2600000000000001 y[1] (analytic) 1.5177977857512301 y[1] (numeric) 1.5177977857512297 absolute error 4.440892098500626e-16 relative error 2.925878625065076e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9790013544786496 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] 0.27000000000000013 y[1] (analytic) 1.5273270938919012 y[1] (numeric) 1.5273270938919012 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 1.9902707523770486 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] 0.28000000000000014 y[1] (analytic) 1.5368401534998575 y[1] (numeric) 1.536840153499857 absolute error 4.440892098500626e-16 relative error 2.889625240717032e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0015404349168726 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] 0.29000000000000015 y[1] (analytic) 1.546336742682406 y[1] (numeric) 1.5463367426824057 absolute error 2.220446049250313e-16 relative error 1.435939525952504e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.012810402120876 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] 0.30000000000000016 y[1] (analytic) 1.555816641869629 y[1] (numeric) 1.5558166418696289 absolute error 2.220446049250313e-16 relative error 1.4271900617941695e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.02408065401182 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] 0.31000000000000016 y[1] (analytic) 1.5652796337881836 y[1] (numeric) 1.5652796337881831 absolute error 4.440892098500626e-16 relative error 2.8371237973326724e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0353511906124604 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] 0.3200000000000002 y[1] (analytic) 1.5747255034355458 y[1] (numeric) 1.5747255034355452 absolute error 6.661338147750939e-16 relative error 4.230158293123491e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.046622011945566 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] 0.3300000000000002 y[1] (analytic) 1.5841540380546908 y[1] (numeric) 1.5841540380546903 absolute error 4.440892098500626e-16 relative error 2.8033208840940443e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0578931180339026 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] 0.3400000000000002 y[1] (analytic) 1.5935650271091961 y[1] (numeric) 1.5935650271091957 absolute error 4.440892098500626e-16 relative error 2.786765536990115e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.069164508900241 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] 0.3500000000000002 y[1] (analytic) 1.6029582622587562 y[1] (numeric) 1.6029582622587557 absolute error 4.440892098500626e-16 relative error 2.7704352652594262e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0804361845673545 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] 0.3600000000000002 y[1] (analytic) 1.6123335373351035 y[1] (numeric) 1.6123335373351029 absolute error 6.661338147750939e-16 relative error 4.131488921802699e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0917081450580226 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] 0.3700000000000002 y[1] (analytic) 1.621690648318324 y[1] (numeric) 1.621690648318324 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 2.1029803903950244 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] 0.3800000000000002 y[1] (analytic) 1.6310293933135624 y[1] (numeric) 1.6310293933135618 absolute error 6.661338147750939e-16 relative error 4.084131270140948e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1142529206011433 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] 0.39000000000000024 y[1] (analytic) 1.640349572528096 y[1] (numeric) 1.6403495725280957 absolute error 4.440892098500626e-16 relative error 2.7072839673170104e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1255257356991657 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] 0.40000000000000024 y[1] (analytic) 1.649650988248791 y[1] (numeric) 1.6496509882487906 absolute error 4.440892098500626e-16 relative error 2.692019178683919e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1367988357118812 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] 0.41000000000000025 y[1] (analytic) 1.6589334448199076 y[1] (numeric) 1.6589334448199073 absolute error 2.220446049250313e-16 relative error 1.3384780783000989e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1480722206620855 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] 0.42000000000000026 y[1] (analytic) 1.668196748621267 y[1] (numeric) 1.6681967486212665 absolute error 4.440892098500626e-16 relative error 2.6620913283585642e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1593458905725713 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] 0.43000000000000027 y[1] (analytic) 1.6774407080467584 y[1] (numeric) 1.6774407080467577 absolute error 6.661338147750939e-16 relative error 3.9711318056108935e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1706198454661374 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] 0.4400000000000003 y[1] (analytic) 1.6866651334831873 y[1] (numeric) 1.6866651334831866 absolute error 6.661338147750939e-16 relative error 3.949413559047368e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.181894085365592 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] 0.4500000000000003 y[1] (analytic) 1.6958698372894534 y[1] (numeric) 1.695869837289453 absolute error 4.440892098500626e-16 relative error 2.6186515031121745e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1931686102937364 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] 0.4600000000000003 y[1] (analytic) 1.7050546337760528 y[1] (numeric) 1.7050546337760522 absolute error 6.661338147750939e-16 relative error 3.906818007935962e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.2044434202733796 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] 0.4700000000000003 y[1] (analytic) 1.714219339184893 y[1] (numeric) 1.714219339184893 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 2.215718515327335 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] 0.4800000000000003 y[1] (analytic) 1.7233637716694266 y[1] (numeric) 1.7233637716694261 absolute error 4.440892098500626e-16 relative error 2.576874465800522e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.2269938954784188 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] 0.4900000000000003 y[1] (analytic) 1.7324877512750758 y[1] (numeric) 1.7324877512750754 absolute error 4.440892098500626e-16 relative error 2.5633036050224423e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.2382695607494467 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] 0.5000000000000003 y[1] (analytic) 1.7415910999199666 y[1] (numeric) 1.7415910999199664 absolute error 2.220446049250313e-16 relative error 1.2749525702975583e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.249545511163243 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] 0.5100000000000003 y[1] (analytic) 1.7506736413759456 y[1] (numeric) 1.7506736413759458 absolute error 2.220446049250313e-16 relative error 1.2683380824224604e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.260821746742632 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] 0.5200000000000004 y[1] (analytic) 1.7597352012498855 y[1] (numeric) 1.759735201249885 absolute error 4.440892098500626e-16 relative error 2.5236138342555164e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.272098267510443 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] 0.5300000000000004 y[1] (analytic) 1.7687756069652636 y[1] (numeric) 1.7687756069652636 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 2.2833750734895046 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] 0.5400000000000004 y[1] (analytic) 1.7777946877440254 y[1] (numeric) 1.7777946877440252 absolute error 2.220446049250313e-16 relative error 1.2489890224995556e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.2946521647026525 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] 0.5500000000000004 y[1] (analytic) 1.7867922745887013 y[1] (numeric) 1.7867922745887008 absolute error 4.440892098500626e-16 relative error 2.4853992048532153e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3059295411727234 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] 0.5600000000000004 y[1] (analytic) 1.795768200264796 y[1] (numeric) 1.795768200264795 absolute error 1.1102230246251565e-15 relative error 6.182440609325011e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.317207202922562 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] 0.5700000000000004 y[1] (analytic) 1.8047222992834282 y[1] (numeric) 1.804722299283428 absolute error 2.220446049250313e-16 relative error 1.2303533070611194e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3284851499750077 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] 0.5800000000000004 y[1] (analytic) 1.8136544078842303 y[1] (numeric) 1.8136544078842298 absolute error 4.440892098500626e-16 relative error 2.4485878231240724e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.339763382352909 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] 0.5900000000000004 y[1] (analytic) 1.8225643640184814 y[1] (numeric) 1.8225643640184814 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 2.3510419000791183 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] 0.6000000000000004 y[1] (analytic) 1.831452007332497 y[1] (numeric) 1.8314520073324965 absolute error 4.440892098500626e-16 relative error 2.424793049842878e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3623207031764872 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] 0.6100000000000004 y[1] (analytic) 1.8403171791512412 y[1] (numeric) 1.840317179151241 absolute error 2.220446049250313e-16 relative error 1.2065561710804592e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.373599791667875 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] 0.6200000000000004 y[1] (analytic) 1.8491597224621854 y[1] (numeric) 1.8491597224621847 absolute error 6.661338147750939e-16 relative error 3.6023595294847016e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3848791655761388 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] 0.6300000000000004 y[1] (analytic) 1.8579794818993807 y[1] (numeric) 1.8579794818993807 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 2.396158824924142 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] 0.6400000000000005 y[1] (analytic) 1.8667763037277678 y[1] (numeric) 1.866776303727767 absolute error 8.881784197001252e-16 relative error 4.757819230544767e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.407438769734755 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] 0.6500000000000005 y[1] (analytic) 1.875550035827689 y[1] (numeric) 1.8755500358276884 absolute error 6.661338147750939e-16 relative error 3.55167178721055e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.4187190000308405 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] 0.6600000000000005 y[1] (analytic) 1.884300527679633 y[1] (numeric) 1.8843005276796325 absolute error 4.440892098500626e-16 relative error 2.3567854666841458e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.4299995158352785 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] 0.6700000000000005 y[1] (analytic) 1.8930276303491755 y[1] (numeric) 1.8930276303491755 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 2.4412803171709405 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] 0.6800000000000005 y[1] (analytic) 1.9017311964721362 y[1] (numeric) 1.901731196472136 absolute error 2.220446049250313e-16 relative error 1.1675919569334607e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.4525614040607087 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] 0.6900000000000005 y[1] (analytic) 1.9104110802399306 y[1] (numeric) 1.91041108023993 absolute error 6.661338147750939e-16 relative error 3.48686113509891e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.463842776527463 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] 0.7000000000000005 y[1] (analytic) 1.919067137385126 y[1] (numeric) 1.9190671373851256 absolute error 4.440892098500626e-16 relative error 2.3140889716613443e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.47512443459409 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] 0.7100000000000005 y[1] (analytic) 1.927699225167193 y[1] (numeric) 1.9276992251671923 absolute error 6.661338147750939e-16 relative error 3.455589990794954e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.486406378283477 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] 0.7200000000000005 y[1] (analytic) 1.9363072023584422 y[1] (numeric) 1.9363072023584418 absolute error 4.440892098500626e-16 relative error 2.2934852966985682e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.497688607618521 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] 0.7300000000000005 y[1] (analytic) 1.9448909292301564 y[1] (numeric) 1.944890929230156 absolute error 4.440892098500626e-16 relative error 2.2833630574124064e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.508971122622112 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] 0.7400000000000005 y[1] (analytic) 1.953450267538901 y[1] (numeric) 1.9534502675389007 absolute error 2.220446049250313e-16 relative error 1.1366790781153558e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5202539233171484 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] 0.7500000000000006 y[1] (analytic) 1.961985080513019 y[1] (numeric) 1.9619850805130186 absolute error 4.440892098500626e-16 relative error 2.263468842148088e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5315370097265375 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] 0.7600000000000006 y[1] (analytic) 1.9704952328393013 y[1] (numeric) 1.970495232839301 absolute error 2.220446049250313e-16 relative error 1.126846699370521e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5428203818731756 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] 0.7700000000000006 y[1] (analytic) 1.9789805906498343 y[1] (numeric) 1.978980590649834 absolute error 4.440892098500626e-16 relative error 2.2440301433387875e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5541040397799786 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] 0.7800000000000006 y[1] (analytic) 1.9874410215090141 y[1] (numeric) 1.9874410215090135 absolute error 6.661338147750939e-16 relative error 3.3517161393263145e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.565387983469855 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] 0.7900000000000006 y[1] (analytic) 1.9958763944007334 y[1] (numeric) 1.9958763944007327 absolute error 6.661338147750939e-16 relative error 3.337550444726324e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5766722129657187 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] 0.8000000000000006 y[1] (analytic) 2.004286579715731 y[1] (numeric) 2.00428657971573 absolute error 8.881784197001252e-16 relative error 4.4313943359641516e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5879567282904863 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] 0.8100000000000006 y[1] (analytic) 2.0126714492391033 y[1] (numeric) 2.012671449239103 absolute error 4.440892098500626e-16 relative error 2.2064664852177036e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.599241529467079 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] 0.8200000000000006 y[1] (analytic) 2.021030876137978 y[1] (numeric) 2.021030876137977 absolute error 8.881784197001252e-16 relative error 4.3946801119503945e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6105266165184244 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] 0.8300000000000006 y[1] (analytic) 2.0293647349493367 y[1] (numeric) 2.0293647349493362 absolute error 4.440892098500626e-16 relative error 2.188316383950317e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.621811989467445 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] 0.8400000000000006 y[1] (analytic) 2.037672901568002 y[1] (numeric) 2.037672901568002 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 2.633097648337076 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] 0.8500000000000006 y[1] (analytic) 2.0459552532347676 y[1] (numeric) 2.045955253234767 absolute error 4.440892098500626e-16 relative error 2.1705714685007564e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.644383593150246 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] 0.8600000000000007 y[1] (analytic) 2.0542116685246747 y[1] (numeric) 2.0542116685246747 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 2.655669823929897 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] 0.8700000000000007 y[1] (analytic) 2.062442027335445 y[1] (numeric) 2.0624420273354453 absolute error 4.440892098500626e-16 relative error 2.153220327961412e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.666956340698963 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] 0.8800000000000007 y[1] (analytic) 2.0706462108760473 y[1] (numeric) 2.0706462108760464 absolute error 8.881784197001252e-16 relative error 4.289377948946457e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.678243143480397 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] 0.8900000000000007 y[1] (analytic) 2.0788241016554023 y[1] (numeric) 2.0788241016554023 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 2.6895302322971335 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] 0.9000000000000007 y[1] (analytic) 2.086975583471242 y[1] (numeric) 2.086975583471242 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 2.700817607172131 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] 0.9100000000000007 y[1] (analytic) 2.0951005413990833 y[1] (numeric) 2.095100541399083 absolute error 4.440892098500626e-16 relative error 2.1196558402562632e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.7121052681283415 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] 0.9200000000000007 y[1] (analytic) 2.103198861781351 y[1] (numeric) 2.103198861781351 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 2.7233932151887186 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] 0.9300000000000007 y[1] (analytic) 2.111270432216628 y[1] (numeric) 2.111270432216628 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 2.7346814483762225 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] 0.9400000000000007 y[1] (analytic) 2.1193151415490306 y[1] (numeric) 2.11931514154903 absolute error 4.440892098500626e-16 relative error 2.0954373473945597e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.7459699677138163 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] 0.9500000000000007 y[1] (analytic) 2.1273328798577147 y[1] (numeric) 2.127332879857714 absolute error 8.881784197001252e-16 relative error 4.175079641318431e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.7572587732244673 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] 0.9600000000000007 y[1] (analytic) 2.135323538446506 y[1] (numeric) 2.1353235384465057 absolute error 4.440892098500626e-16 relative error 2.0797279749613357e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.7685478649311395 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] 0.9700000000000008 y[1] (analytic) 2.1432870098336556 y[1] (numeric) 2.143287009833655 absolute error 4.440892098500626e-16 relative error 2.0720006597927786e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.7798372428568134 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] 0.9800000000000008 y[1] (analytic) 2.151223187741709 y[1] (numeric) 2.1512231877417087 absolute error 4.440892098500626e-16 relative error 2.0643567454116854e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.7911269070244584 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] 0.9900000000000008 y[1] (analytic) 2.159131967087502 y[1] (numeric) 2.1591319670875015 absolute error 4.440892098500626e-16 relative error 2.05679512238941e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.8024168574570507 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] 1.0000000000000007 y[1] (analytic) 2.167013243972269 y[1] (numeric) 2.167013243972268 absolute error 8.881784197001252e-16 relative error 4.098629402338305e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.8137070941775817 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] 1.0100000000000007 y[1] (analytic) 2.1748669156718656 y[1] (numeric) 2.1748669156718647 absolute error 8.881784197001252e-16 relative error 4.083828823271914e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.8249976172090268 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] 1.0200000000000007 y[1] (analytic) 2.182692880627109 y[1] (numeric) 2.1826928806271084 absolute error 4.440892098500626e-16 relative error 2.034593202697722e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.836288426574379 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] 1.0300000000000007 y[1] (analytic) 2.1904910384342235 y[1] (numeric) 2.190491038434223 absolute error 4.440892098500626e-16 relative error 2.0273500418769133e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.847579522296633 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] 1.0400000000000007 y[1] (analytic) 2.1982612898353997 y[1] (numeric) 2.1982612898353993 absolute error 4.440892098500626e-16 relative error 2.0201839149126577e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.8588709043987772 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] 1.0500000000000007 y[1] (analytic) 2.206003536709459 y[1] (numeric) 2.2060035367094586 absolute error 4.440892098500626e-16 relative error 2.013093825372916e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.8701625729038143 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] 1.0600000000000007 y[1] (analytic) 2.2137176820626263 y[1] (numeric) 2.2137176820626254 absolute error 8.881784197001252e-16 relative error 4.0121575885528776e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.8814545278347437 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] 1.0700000000000007 y[1] (analytic) 2.2214036300194033 y[1] (numeric) 2.221403630019403 absolute error 4.440892098500626e-16 relative error 1.9991378597242303e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.892746769214573 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] 1.0800000000000007 y[1] (analytic) 2.2290612858135503 y[1] (numeric) 2.2290612858135503 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 2.9040392970663027 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] 1.0900000000000007 y[1] (analytic) 2.2366905557791634 y[1] (numeric) 2.236690555779163 absolute error 4.440892098500626e-16 relative error 1.985474515920964e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.9153321114129542 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] 1.1000000000000008 y[1] (analytic) 2.2442913473418504 y[1] (numeric) 2.2442913473418504 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 2.9266252122775316 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) 2.2518635690100135 y[1] (numeric) 2.2518635690100135 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 2.937918599683057 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) 2.2594071303662173 y[1] (numeric) 2.259407130366217 absolute error 4.440892098500626e-16 relative error 1.9655121198899737e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.94921227365255 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 2.2669219420586564 y[1] (numeric) 2.2669219420586564 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 2.960506234209036 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) 2.274407915792721 y[1] (numeric) 2.274407915792721 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 2.971800481375541 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) 2.281864964322644 y[1] (numeric) 2.281864964322644 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 2.9830950151750972 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 2.2892930014432493 y[1] (numeric) 2.289293001443249 absolute error 4.440892098500626e-16 relative error 1.939853088137226e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.9943898356307375 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) 2.2966919419817806 y[1] (numeric) 2.2966919419817806 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 3.005684942765498 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) 2.3040617017898257 y[1] (numeric) 2.3040617017898257 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 3.016980336602416 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) 2.3114021977353207 y[1] (numeric) 2.3114021977353207 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 3.0282760171645378 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) 2.3187133476946435 y[1] (numeric) 2.3187133476946435 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 3.0395719844749096 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) 2.3259950705447885 y[1] (numeric) 2.325995070544789 absolute error 4.440892098500626e-16 relative error 1.9092439853969647e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.0508682385565824 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 2.3332472861556277 y[1] (numeric) 2.333247286155628 absolute error 4.440892098500626e-16 relative error 1.903309659825066e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.0621647794326052 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) 2.3404699153822497 y[1] (numeric) 2.3404699153822492 absolute error 4.440892098500626e-16 relative error 1.8974360957659785e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.0734616071260397 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 2.347662880057377 y[1] (numeric) 2.347662880057377 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 3.0847587216599424 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) 2.354826102983872 y[1] (numeric) 2.354826102983872 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 3.096056123057377 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y[1] (analytic) 2.361959507927309 y[1] (numeric) 2.3619595079273097 absolute error 8.881784197001252e-16 relative error 3.7603456651952885e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.1073538113414045 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) 2.369063019608632 y[1] (numeric) 2.3690630196086317 absolute error 4.440892098500626e-16 relative error 1.8745352325976785e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.118651786535102 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 2.376136563696879 y[1] (numeric) 2.3761365636968788 absolute error 4.440892098500626e-16 relative error 1.8689549103993103e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.1299500486615353 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) 2.3831800668019927 y[1] (numeric) 2.3831800668019927 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 3.1412485977437856 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) 2.3901934564676957 y[1] (numeric) 2.390193456467695 absolute error 4.440892098500626e-16 relative error 1.8579634575117274e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.1525474338049286 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y[1] (analytic) 2.397176661164439 y[1] (numeric) 2.3971766611644383 absolute error 8.881784197001252e-16 relative error 3.705102064812731e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.1638465568680485 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y[1] (analytic) 2.4041296102824252 y[1] (numeric) 2.404129610282425 absolute error 4.440892098500626e-16 relative error 1.8471932958635007e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.175145966956225 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) 2.411052234124701 y[1] (numeric) 2.411052234124701 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 3.1864456640925525 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y[1] (analytic) 2.417944463900319 y[1] (numeric) 2.417944463900319 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 3.1977456483001214 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y[1] (analytic) 2.424806231717564 y[1] (numeric) 2.4248062317175636 absolute error 4.440892098500626e-16 relative error 1.83144205108505e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.2090459196020285 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.360000000000001 y[1] (analytic) 2.4316374705772534 y[1] (numeric) 2.431637470577253 absolute error 4.440892098500626e-16 relative error 1.8262969510197546e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.220346478021369 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.370000000000001 y[1] (analytic) 2.4384381143661 y[1] (numeric) 2.4384381143660994 absolute error 4.440892098500626e-16 relative error 1.8212035287412196e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.231647323581242 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y[1] (analytic) 2.4452080978501405 y[1] (numeric) 2.44520809785014 absolute error 4.440892098500626e-16 relative error 1.8161612103301628e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.2429484563047613 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.390000000000001 y[1] (analytic) 2.4519473566682315 y[1] (numeric) 2.4519473566682306 absolute error 8.881784197001252e-16 relative error 3.622338861740509e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.254249876215029 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y[1] (analytic) 2.4586558273256034 y[1] (numeric) 2.458655827325602 absolute error 1.3322676295501878e-15 relative error 5.41868290284191e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.2655515833351556 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) 2.465333447187483 y[1] (numeric) 2.465333447187482 absolute error 8.881784197001252e-16 relative error 3.6026705463043244e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.2768535776882564 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y[1] (analytic) 2.471980154472777 y[1] (numeric) 2.4719801544727766 absolute error 4.440892098500626e-16 relative error 1.796491808587265e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.2881558592974507 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y[1] (analytic) 2.4785958882478156 y[1] (numeric) 2.4785958882478143 absolute error 1.3322676295501878e-15 relative error 5.3750901301300986e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.29945842818586 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y[1] (analytic) 2.4851805884201514 y[1] (numeric) 2.48518058842015 absolute error 1.3322676295501878e-15 relative error 5.360848365539185e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.3107612843766083 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y[1] (analytic) 2.4917341957324295 y[1] (numeric) 2.4917341957324286 absolute error 8.881784197001252e-16 relative error 3.5644990594153276e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.322064427892823 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y[1] (analytic) 2.498256651756307 y[1] (numeric) 2.4982566517563063 absolute error 8.881784197001252e-16 relative error 3.5551928544880456e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.333367858757632 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y[1] (analytic) 2.504747898886432 y[1] (numeric) 2.504747898886431 absolute error 8.881784197001252e-16 relative error 3.545979298335749e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.3446715769941737 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.480000000000001 y[1] (analytic) 2.5112078803344824 y[1] (numeric) 2.511207880334481 absolute error 1.3322676295501878e-15 relative error 5.305286113440897e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.3559755826255837 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490000000000001 y[1] (analytic) 2.5176365401232568 y[1] (numeric) 2.517636540123256 absolute error 8.881784197001252e-16 relative error 3.5278262193344336e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.3672798756750035 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.500000000000001 y[1] (analytic) 2.5240338230808286 y[1] (numeric) 2.5240338230808277 absolute error 8.881784197001252e-16 relative error 3.5188847771303523e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.378584456165572 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100000000000011 y[1] (analytic) 2.5303996748347464 y[1] (numeric) 2.5303996748347446 absolute error 1.7763568394002505e-15 relative error 7.020064288920127e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.389889324120443 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5200000000000011 y[1] (analytic) 2.53673404180629 y[1] (numeric) 2.5367340418062887 absolute error 1.3322676295501878e-15 relative error 5.251901096425316e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.4011944795627667 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5300000000000011 y[1] (analytic) 2.543036871204789 y[1] (numeric) 2.543036871204788 absolute error 8.881784197001252e-16 relative error 3.4925896268241753e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.412499922515689 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5400000000000011 y[1] (analytic) 2.549308111021982 y[1] (numeric) 2.5493081110219813 absolute error 8.881784197001252e-16 relative error 3.483997935989255e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.4238056530023733 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5500000000000012 y[1] (analytic) 2.5555477100264334 y[1] (numeric) 2.555547710026433 absolute error 4.440892098500626e-16 relative error 1.7377457212312e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.4351116710459806 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5600000000000012 y[1] (analytic) 2.5617556177580045 y[1] (numeric) 2.561755617758003 absolute error 1.3322676295501878e-15 relative error 5.2006039152015633e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.4464179766696703 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5700000000000012 y[1] (analytic) 2.567931784522366 y[1] (numeric) 2.567931784522365 absolute error 8.881784197001252e-16 relative error 3.4587305825389204e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.457724569896612 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5800000000000012 y[1] (analytic) 2.574076161385573 y[1] (numeric) 2.574076161385573 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 3.469031450749975 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 2.5801887001686823 y[1] (numeric) 2.5801887001686823 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 3.480338619252928 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 2.5862693534424146 y[1] (numeric) 2.5862693534424137 absolute error 8.881784197001252e-16 relative error 3.434206953417009e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.4916460754286565 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 2.5923180745218715 y[1] (numeric) 2.592318074521871 absolute error 4.440892098500626e-16 relative error 1.713096915902076e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.5029538193003313 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 2.598334817461302 y[1] (numeric) 2.5983348174613017 absolute error 4.440892098500626e-16 relative error 1.7091300430787404e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.514261850891141 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 2.604319537048908 y[1] (numeric) 2.6043195370489074 absolute error 4.440892098500626e-16 relative error 1.7052024666423368e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.5255701702242677 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] 1.6400000000000012 y[1] (analytic) 2.6102721888016998 y[1] (numeric) 2.610272188801699 absolute error 8.881784197001252e-16 relative error 3.402627601483438e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.536878777322906 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] 1.6500000000000012 y[1] (analytic) 2.616192728960399 y[1] (numeric) 2.6161927289603986 absolute error 4.440892098500626e-16 relative error 1.697463665173212e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.5481876722102457 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] 1.6600000000000013 y[1] (analytic) 2.622081114484387 y[1] (numeric) 2.622081114484387 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 3.5594968549094768 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] 1.6700000000000013 y[1] (analytic) 2.627937303046694 y[1] (numeric) 2.6279373030466937 absolute error 4.440892098500626e-16 relative error 1.6898774918838764e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.5708063254438125 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] 1.6800000000000013 y[1] (analytic) 2.6337612530290344 y[1] (numeric) 2.6337612530290344 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 3.5821160838364423 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] 1.6900000000000013 y[1] (analytic) 2.639552923516888 y[1] (numeric) 2.6395529235168875 absolute error 4.440892098500626e-16 relative error 1.682441014512287e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.59342613011058 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] 1.7000000000000013 y[1] (analytic) 2.6453122742946196 y[1] (numeric) 2.645312274294619 absolute error 4.440892098500626e-16 relative error 1.678778018631015e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.604736464289432 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] 1.7100000000000013 y[1] (analytic) 2.6510392658406454 y[1] (numeric) 2.651039265840645 absolute error 4.440892098500626e-16 relative error 1.675151385240768e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.6160470863962044 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] 1.7200000000000013 y[1] (analytic) 2.6567338593226393 y[1] (numeric) 2.6567338593226384 absolute error 8.881784197001252e-16 relative error 3.343121542202858e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.6273579964541263 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] 1.7300000000000013 y[1] (analytic) 2.662396016592778 y[1] (numeric) 2.6623960165927776 absolute error 4.440892098500626e-16 relative error 1.668005837908326e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.6386691944864067 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] 1.7400000000000013 y[1] (analytic) 2.668025700183035 y[1] (numeric) 2.668025700183035 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 3.6499806805162707 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] 1.7500000000000013 y[1] (analytic) 2.6736228733005074 y[1] (numeric) 2.6736228733005065 absolute error 8.881784197001252e-16 relative error 3.322003370668712e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.6612924545669427 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] 1.7600000000000013 y[1] (analytic) 2.6791874998227794 y[1] (numeric) 2.6791874998227794 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 3.67260451666165 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] 1.7700000000000014 y[1] (analytic) 2.684719544293343 y[1] (numeric) 2.6847195442933427 absolute error 4.440892098500626e-16 relative error 1.654136316748695e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.6839168668236266 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] 1.7800000000000014 y[1] (analytic) 2.6902189719170346 y[1] (numeric) 2.6902189719170337 absolute error 8.881784197001252e-16 relative error 3.301509761739634e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.6952295050761097 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] 1.7900000000000014 y[1] (analytic) 2.695685748555526 y[1] (numeric) 2.6956857485555257 absolute error 4.440892098500626e-16 relative error 1.647407195323217e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.706542431442335 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] 1.8000000000000014 y[1] (analytic) 2.7011198407228503 y[1] (numeric) 2.70111984072285 absolute error 4.440892098500626e-16 relative error 1.6440929541697762e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.717855645945543 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] 1.8100000000000014 y[1] (analytic) 2.7065212155809593 y[1] (numeric) 2.706521215580959 absolute error 4.440892098500626e-16 relative error 1.6408118558004287e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.7291691486089826 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] 1.8200000000000014 y[1] (analytic) 2.7118898409353256 y[1] (numeric) 2.7118898409353256 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 3.7404829394559003 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] 1.8300000000000014 y[1] (analytic) 2.717225685230579 y[1] (numeric) 2.7172256852305785 absolute error 4.440892098500626e-16 relative error 1.6343479022147473e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.7517970185095493 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] 1.8400000000000014 y[1] (analytic) 2.722528717546175 y[1] (numeric) 2.722528717546174 absolute error 8.881784197001252e-16 relative error 3.262328929630699e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.763111385793178 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] 1.8500000000000014 y[1] (analytic) 2.7277989075921054 y[1] (numeric) 2.727798907592105 absolute error 4.440892098500626e-16 relative error 1.6280130057023558e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.7744260413300528 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] 1.8600000000000014 y[1] (analytic) 2.7330362257046437 y[1] (numeric) 2.7330362257046428 absolute error 8.881784197001252e-16 relative error 3.2497864878140465e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.7857409851434336 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] 1.8700000000000014 y[1] (analytic) 2.738240642842117 y[1] (numeric) 2.7382406428421167 absolute error 4.440892098500626e-16 relative error 1.6218049023957466e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.7970562172565794 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] 1.8800000000000014 y[1] (analytic) 2.7434121305807277 y[1] (numeric) 2.743412130580727 absolute error 8.881784197001252e-16 relative error 3.2374954160172606e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.808371737692765 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] 1.8900000000000015 y[1] (analytic) 2.748550661110393 y[1] (numeric) 2.748550661110392 absolute error 8.881784197001252e-16 relative error 3.23144278279851e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.8196875464752598 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] 1.9000000000000015 y[1] (analytic) 2.7536562072306294 y[1] (numeric) 2.7536562072306294 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 3.8310036436273323 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] 1.9100000000000015 y[1] (analytic) 2.758728742346471 y[1] (numeric) 2.7587287423464706 absolute error 4.440892098500626e-16 relative error 1.609760332842065e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.84232002917227 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] 1.9200000000000015 y[1] (analytic) 2.763768240464409 y[1] (numeric) 2.7637682404644086 absolute error 4.440892098500626e-16 relative error 1.6068250707426908e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.8536367031333425 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] 1.9300000000000015 y[1] (analytic) 2.768774676188379 y[1] (numeric) 2.7687746761883787 absolute error 4.440892098500626e-16 relative error 1.603919646005344e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.864953665533848 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] 1.9400000000000015 y[1] (analytic) 2.773748024715772 y[1] (numeric) 2.7737480247157715 absolute error 4.440892098500626e-16 relative error 1.601043807487051e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.8762709163970666 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] 1.9500000000000015 y[1] (analytic) 2.7786882618334765 y[1] (numeric) 2.7786882618334765 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 3.88758845574629 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] 1.9600000000000015 y[1] (analytic) 2.783595363913959 y[1] (numeric) 2.783595363913959 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 3.898906283604811 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] 1.9700000000000015 y[1] (analytic) 2.7884693079113685 y[1] (numeric) 2.7884693079113685 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 3.91022439999593 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] 1.9800000000000015 y[1] (analytic) 2.7933100713576757 y[1] (numeric) 2.7933100713576757 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 3.921542804942946 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] 1.9900000000000015 y[1] (analytic) 2.798117632358842 y[1] (numeric) 2.7981176323588426 absolute error 4.440892098500626e-16 relative error 1.5870998585420115e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.9328614984691606 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] 2.0000000000000013 y[1] (analytic) 2.8028919695910206 y[1] (numeric) 2.802891969591021 absolute error 4.440892098500626e-16 relative error 1.5843964543337757e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.9441804805978853 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] 2.010000000000001 y[1] (analytic) 2.8076330622967824 y[1] (numeric) 2.807633062296783 absolute error 4.440892098500626e-16 relative error 1.581720972778315e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.9554997513524297 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] 2.020000000000001 y[1] (analytic) 2.812340890281377 y[1] (numeric) 2.8123408902813773 absolute error 4.440892098500626e-16 relative error 1.5790731891169534e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.96681931075611 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] 2.0300000000000007 y[1] (analytic) 2.8170154339090194 y[1] (numeric) 2.81701543390902 absolute error 4.440892098500626e-16 relative error 1.5764528816720897e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.978139158832239 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] 2.0400000000000005 y[1] (analytic) 2.821656674099208 y[1] (numeric) 2.821656674099209 absolute error 8.881784197001252e-16 relative error 3.147719663603898e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.9894592956041386 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] 2.0500000000000003 y[1] (analytic) 2.8262645923230703 y[1] (numeric) 2.8262645923230707 absolute error 4.440892098500626e-16 relative error 1.5712938238561734e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.000779721095135 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] 2.06 y[1] (analytic) 2.8308391705997322 y[1] (numeric) 2.8308391705997336 absolute error 1.3322676295501878e-15 relative error 4.7062639353967185e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.012100435328556 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] 2.07 y[1] (analytic) 2.835380391492728 y[1] (numeric) 2.835380391492729 absolute error 1.3322676295501878e-15 relative error 4.698726257498014e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.023421438327727 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] 2.0799999999999996 y[1] (analytic) 2.8398882381064205 y[1] (numeric) 2.839888238106422 absolute error 1.3322676295501878e-15 relative error 4.691267817069156e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.034742730115987 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] 2.0899999999999994 y[1] (analytic) 2.844362694082465 y[1] (numeric) 2.8443626940824664 absolute error 1.3322676295501878e-15 relative error 4.6838880017724e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.046064310716666 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] 2.099999999999999 y[1] (analytic) 2.848803743596289 y[1] (numeric) 2.8488037435962905 absolute error 1.3322676295501878e-15 relative error 4.67658620761412e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.057386180153116 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] 2.109999999999999 y[1] (analytic) 2.8532113713536043 y[1] (numeric) 2.853211371353606 absolute error 1.7763568394002505e-15 relative error 6.225815785100847e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.068708338448667 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] 2.1199999999999988 y[1] (analytic) 2.8575855625869444 y[1] (numeric) 2.8575855625869457 absolute error 1.3322676295501878e-15 relative error 4.6622143077462184e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.080030785626677 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] 2.1299999999999986 y[1] (analytic) 2.8619263030522246 y[1] (numeric) 2.8619263030522264 absolute error 1.7763568394002505e-15 relative error 6.206857379610992e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.091353521710488 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] 2.1399999999999983 y[1] (analytic) 2.866233579025338 y[1] (numeric) 2.8662335790253395 absolute error 1.3322676295501878e-15 relative error 4.648147447924412e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.102676546723461 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] 2.149999999999998 y[1] (analytic) 2.870507377298763 y[1] (numeric) 2.8705073772987646 absolute error 1.7763568394002505e-15 relative error 6.188302644502722e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.1139998606889465 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] 2.159999999999998 y[1] (analytic) 2.8747476851782086 y[1] (numeric) 2.8747476851782103 absolute error 1.7763568394002505e-15 relative error 6.179174779612466e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.125323463630311 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] 2.1699999999999977 y[1] (analytic) 2.8789544904792774 y[1] (numeric) 2.878954490479279 absolute error 1.7763568394002505e-15 relative error 6.170145604158297e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.1366473555709105 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] 2.1799999999999975 y[1] (analytic) 2.8831277815241574 y[1] (numeric) 2.8831277815241596 absolute error 2.220446049250313e-15 relative error 7.701517995419824e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.147971536534117 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] 2.1899999999999973 y[1] (analytic) 2.887267547138336 y[1] (numeric) 2.887267547138338 absolute error 2.220446049250313e-15 relative error 7.690475555170039e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.159296006543297 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] 2.199999999999997 y[1] (analytic) 2.8913737766473404 y[1] (numeric) 2.891373776647342 absolute error 1.7763568394002505e-15 relative error 6.143643045210173e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.170620765621829 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] 2.209999999999997 y[1] (analytic) 2.895446459873498 y[1] (numeric) 2.8954464598735004 absolute error 2.220446049250313e-15 relative error 7.668751883422234e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.181945813793082 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] 2.2199999999999966 y[1] (analytic) 2.8994855871327285 y[1] (numeric) 2.899485587132731 absolute error 2.6645352591003757e-15 relative error 9.189682717944831e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.1932711510804435 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] 2.2299999999999964 y[1] (analytic) 2.903491149231351 y[1] (numeric) 2.9034911492313538 absolute error 2.6645352591003757e-15 relative error 9.177004930102043e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.204596777507291 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] 2.239999999999996 y[1] (analytic) 2.907463137462919 y[1] (numeric) 2.9074631374629223 absolute error 3.1086244689504383e-15 relative error 1.0691879215579856e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.215922693097012 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] 2.249999999999996 y[1] (analytic) 2.9114015436050797 y[1] (numeric) 2.911401543605083 absolute error 3.1086244689504383e-15 relative error 1.0677415747678504e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.227248897873002 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] 2.259999999999996 y[1] (analytic) 2.9153063599164506 y[1] (numeric) 2.915306359916454 absolute error 3.552713678800501e-15 relative error 1.218641624649808e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.238575391858648 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] 2.2699999999999956 y[1] (analytic) 2.9191775791335264 y[1] (numeric) 2.91917757913353 absolute error 3.552713678800501e-15 relative error 1.2170255431514451e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.249902175077344 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] 2.2799999999999954 y[1] (analytic) 2.923015194467602 y[1] (numeric) 2.9230151944676055 absolute error 3.552713678800501e-15 relative error 1.2154277150268432e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.261229247552498 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] 2.289999999999995 y[1] (analytic) 2.926819199601719 y[1] (numeric) 2.926819199601723 absolute error 3.9968028886505635e-15 relative error 1.3655790180665917e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.272556609307516 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] 2.299999999999995 y[1] (analytic) 2.9305895886876407 y[1] (numeric) 2.9305895886876443 absolute error 3.552713678800501e-15 relative error 1.2122863237194042e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.2838842603657845 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] 2.3099999999999947 y[1] (analytic) 2.934326356342835 y[1] (numeric) 2.934326356342839 absolute error 3.9968028886505635e-15 relative error 1.3620853317869983e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.295212200750733 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] 2.3199999999999945 y[1] (analytic) 2.9380294976474945 y[1] (numeric) 2.938029497647498 absolute error 3.552713678800501e-15 relative error 1.2092164771133813e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.306540430485766 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] 2.3299999999999943 y[1] (analytic) 2.941699008141567 y[1] (numeric) 2.941699008141571 absolute error 3.9968028886505635e-15 relative error 1.3586715967843236e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.317868949594302 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] 2.339999999999994 y[1] (analytic) 2.945334883821811 y[1] (numeric) 2.9453348838218156 absolute error 4.440892098500626e-15 relative error 1.5077715348749096e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.329197758099759 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] 2.349999999999994 y[1] (analytic) 2.9489371211388757 y[1] (numeric) 2.9489371211388797 absolute error 3.9968028886505635e-15 relative error 1.3553367618455707e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.340526856025562 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] 2.3599999999999937 y[1] (analytic) 2.9525057169943905 y[1] (numeric) 2.9525057169943945 absolute error 3.9968028886505635e-15 relative error 1.3536986111983731e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.351856243395135 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] 2.3699999999999934 y[1] (analytic) 2.956040668738088 y[1] (numeric) 2.9560406687380927 absolute error 4.884981308350689e-15 relative error 1.6525419829342373e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.363185920231911 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] 2.3799999999999932 y[1] (analytic) 2.9595419741649422 y[1] (numeric) 2.959541974164947 absolute error 4.884981308350689e-15 relative error 1.6505869323678114e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.374515886559317 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] 2.389999999999993 y[1] (analytic) 2.9630096315123224 y[1] (numeric) 2.9630096315123273 absolute error 4.884981308350689e-15 relative error 1.648655224201006e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.385846142400795 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] 2.399999999999993 y[1] (analytic) 2.9664436394571734 y[1] (numeric) 2.9664436394571783 absolute error 4.884981308350689e-15 relative error 1.6467467115756788e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.3971766877797815 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] 2.4099999999999926 y[1] (analytic) 2.9698439971132125 y[1] (numeric) 2.9698439971132173 absolute error 4.884981308350689e-15 relative error 1.644861249647811e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.408507522719718 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] 2.4199999999999924 y[1] (analytic) 2.973210704028145 y[1] (numeric) 2.9732107040281504 absolute error 5.329070518200751e-15 relative error 1.7923622133409034e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.4198386472440525 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] 2.429999999999992 y[1] (analytic) 2.976543760180903 y[1] (numeric) 2.976543760180909 absolute error 5.773159728050814e-15 relative error 1.9395514372346884e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.431170061376239 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] 2.439999999999992 y[1] (analytic) 2.9798431659788993 y[1] (numeric) 2.979843165978905 absolute error 5.773159728050814e-15 relative error 1.937403885534456e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.442501765139722 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] 2.4499999999999917 y[1] (analytic) 2.9831089222553007 y[1] (numeric) 2.9831089222553064 absolute error 5.773159728050814e-15 relative error 1.9352829140701203e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.453833758557962 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] 2.4599999999999915 y[1] (analytic) 2.9863410302663222 y[1] (numeric) 2.986341030266328 absolute error 5.773159728050814e-15 relative error 1.9331883631307717e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.4651660416544185 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] 2.4699999999999913 y[1] (analytic) 2.989539491688539 y[1] (numeric) 2.9895394916885456 absolute error 6.661338147750939e-15 relative error 2.2282154714030926e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.47649861445255 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] 2.479999999999991 y[1] (analytic) 2.9927043086162177 y[1] (numeric) 2.992704308616224 absolute error 6.217248937900877e-15 relative error 2.0774685023177718e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.487831476975829 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] 2.489999999999991 y[1] (analytic) 2.99583548355866 y[1] (numeric) 2.995835483558666 absolute error 6.217248937900877e-15 relative error 2.0752971823791872e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.499164629247721 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] 2.4999999999999907 y[1] (analytic) 2.9989330194375743 y[1] (numeric) 2.9989330194375805 absolute error 6.217248937900877e-15 relative error 2.0731536508497518e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.510498071291695 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] 2.5099999999999905 y[1] (analytic) 3.0019969195844576 y[1] (numeric) 3.001996919584464 absolute error 6.217248937900877e-15 relative error 2.0710377473543446e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.5218318031312394 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] 2.5199999999999902 y[1] (analytic) 3.0050271877379973 y[1] (numeric) 3.005027187738004 absolute error 6.661338147750939e-15 relative error 2.216731407600073e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.533165824789825 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] 2.52999999999999 y[1] (analytic) 3.008023828041493 y[1] (numeric) 3.0080238280414995 absolute error 6.661338147750939e-15 relative error 2.2145230651607233e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.54450013629093 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] 2.53999999999999 y[1] (analytic) 3.0109868450402897 y[1] (numeric) 3.0109868450402963 absolute error 6.661338147750939e-15 relative error 2.2123438229972753e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.55583473765804 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] 2.5499999999999896 y[1] (analytic) 3.0139162436792355 y[1] (numeric) 3.013916243679242 absolute error 6.661338147750939e-15 relative error 2.2101935187220455e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.56716962891466 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] 2.5599999999999894 y[1] (analytic) 3.0168120293001515 y[1] (numeric) 3.016812029300158 absolute error 6.661338147750939e-15 relative error 2.2080719922401845e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.578504810084267 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] 2.569999999999989 y[1] (analytic) 3.0196742076393197 y[1] (numeric) 3.019674207639327 absolute error 7.105427357601002e-15 relative error 2.353044358105038e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.589840281190364 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] 2.579999999999989 y[1] (analytic) 3.0225027848249906 y[1] (numeric) 3.0225027848249972 absolute error 6.661338147750939e-15 relative error 2.20391464358457e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.60117604225645 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] 2.5899999999999888 y[1] (analytic) 3.025297767374899 y[1] (numeric) 3.025297767374906 absolute error 7.105427357601002e-15 relative error 2.3486704132818303e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.61251209330602 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] 2.5999999999999885 y[1] (analytic) 3.028059162193809 y[1] (numeric) 3.028059162193816 absolute error 7.105427357601002e-15 relative error 2.346528577220125e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.623848434362589 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] 2.6099999999999883 y[1] (analytic) 3.030786976571064 y[1] (numeric) 3.030786976571071 absolute error 7.105427357601002e-15 relative error 2.344416619356025e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.635185065449663 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] 2.619999999999988 y[1] (analytic) 3.0334812181781583 y[1] (numeric) 3.0334812181781654 absolute error 7.105427357601002e-15 relative error 2.3423343830255737e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.646521986590756 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] 2.629999999999988 y[1] (analytic) 3.036141895066325 y[1] (numeric) 3.0361418950663315 absolute error 6.661338147750939e-15 relative error 2.1940141067107212e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.657859197809381 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] 2.6399999999999877 y[1] (analytic) 3.0387690156641343 y[1] (numeric) 3.0387690156641414 absolute error 7.105427357601002e-15 relative error 2.338258459584854e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.669196699129059 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] 2.6499999999999875 y[1] (analytic) 3.0413625887751183 y[1] (numeric) 3.041362588775125 absolute error 6.661338147750939e-15 relative error 2.190247940951274e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.680534490573309 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] 2.6599999999999873 y[1] (analytic) 3.043922623575398 y[1] (numeric) 3.043922623575405 absolute error 7.105427357601002e-15 relative error 2.334299598343585e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.691872572165667 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] 2.669999999999987 y[1] (analytic) 3.046449129611337 y[1] (numeric) 3.0464491296113443 absolute error 7.105427357601002e-15 relative error 2.3323636979644906e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.703210943929654 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] 2.679999999999987 y[1] (analytic) 3.048942116797204 y[1] (numeric) 3.0489421167972113 absolute error 7.105427357601002e-15 relative error 2.3304566257443345e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.714549605888802 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] 2.6899999999999866 y[1] (analytic) 3.0514015954128526 y[1] (numeric) 3.05140159541286 absolute error 7.549516567451064e-15 relative error 2.4741143803556347e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.7258885580666465 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] 2.6999999999999864 y[1] (analytic) 3.053827576101417 y[1] (numeric) 3.053827576101424 absolute error 7.105427357601002e-15 relative error 2.3267284024830065e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.73722780048673 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] 2.709999999999986 y[1] (analytic) 3.056220069867019 y[1] (numeric) 3.056220069867026 absolute error 7.105427357601002e-15 relative error 2.32490697501053e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.748567333172599 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] 2.719999999999986 y[1] (analytic) 3.058579088072495 y[1] (numeric) 3.0585790880725026 absolute error 7.549516567451064e-15 relative error 2.4683084367155406e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.7599071561477935 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] 2.7299999999999858 y[1] (analytic) 3.060904642437135 y[1] (numeric) 3.0609046424371424 absolute error 7.549516567451064e-15 relative error 2.4664331135255604e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.771247269435862 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] 2.7399999999999856 y[1] (analytic) 3.063196745034433 y[1] (numeric) 3.0631967450344404 absolute error 7.549516567451064e-15 relative error 2.4645875521019467e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.78258767306036 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] 2.7499999999999853 y[1] (analytic) 3.065455408289858 y[1] (numeric) 3.0654554082898655 absolute error 7.549516567451064e-15 relative error 2.462771615282688e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.793928367044843 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] 2.759999999999985 y[1] (analytic) 3.067680644978635 y[1] (numeric) 3.0676806449786427 absolute error 7.549516567451064e-15 relative error 2.460985167999338e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.805269351412865 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] 2.769999999999985 y[1] (analytic) 3.069872468223541 y[1] (numeric) 3.0698724682235485 absolute error 7.549516567451064e-15 relative error 2.459228077256181e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.816610626187999 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] 2.7799999999999847 y[1] (analytic) 3.072030891492715 y[1] (numeric) 3.072030891492722 absolute error 7.105427357601002e-15 relative error 2.312941376103298e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.8279521913938055 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] 2.7899999999999845 y[1] (analytic) 3.0741559285974818 y[1] (numeric) 3.0741559285974893 absolute error 7.549516567451064e-15 relative error 2.455801443648752e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.839294047053853 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] 2.7999999999999843 y[1] (analytic) 3.076247593690192 y[1] (numeric) 3.0762475936901996 absolute error 7.549516567451064e-15 relative error 2.4541316449742744e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.850636193191716 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] 2.809999999999984 y[1] (analytic) 3.078305901262071 y[1] (numeric) 3.0783059012620786 absolute error 7.549516567451064e-15 relative error 2.452490691180447e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.861978629830963 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] 2.819999999999984 y[1] (analytic) 3.0803308661410846 y[1] (numeric) 3.080330866141092 absolute error 7.549516567451064e-15 relative error 2.4508784593353754e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.873321356995184 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] 2.8299999999999836 y[1] (analytic) 3.0823225034898183 y[1] (numeric) 3.0823225034898263 absolute error 7.993605777301127e-15 relative error 2.5933709948426013e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.884664374707956 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] 2.8399999999999834 y[1] (analytic) 3.0842808288033683 y[1] (numeric) 3.0842808288033767 absolute error 8.43769498715119e-15 relative error 2.735709053583433e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.896007682992869 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] 2.849999999999983 y[1] (analytic) 3.086205857907247 y[1] (numeric) 3.0862058579072555 absolute error 8.43769498715119e-15 relative error 2.734002647792517e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.9073512818735106 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] 2.859999999999983 y[1] (analytic) 3.0880976069552997 y[1] (numeric) 3.088097606955308 absolute error 8.43769498715119e-15 relative error 2.73232781507522e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.918695171373469 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] 2.869999999999983 y[1] (analytic) 3.0899560924276366 y[1] (numeric) 3.089956092427645 absolute error 8.43769498715119e-15 relative error 2.730684428762248e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.930039351516344 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] 2.8799999999999826 y[1] (analytic) 3.0917813311285762 y[1] (numeric) 3.0917813311285847 absolute error 8.43769498715119e-15 relative error 2.729072364270737e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.94138382232574 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] 2.8899999999999824 y[1] (analytic) 3.093573340184603 y[1] (numeric) 3.093573340184611 absolute error 7.993605777301127e-15 relative error 2.583939314923151e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.952728583825248 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] 2.899999999999982 y[1] (analytic) 3.0953321370423326 y[1] (numeric) 3.095332137042341 absolute error 8.43769498715119e-15 relative error 2.7259417127409205e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.964073636038487 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] 2.909999999999982 y[1] (analytic) 3.0970577394664995 y[1] (numeric) 3.097057739466508 absolute error 8.43769498715119e-15 relative error 2.7244228868024497e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.975418978989055 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] 2.9199999999999817 y[1] (analytic) 3.098750165537947 y[1] (numeric) 3.098750165537955 absolute error 7.993605777301127e-15 relative error 2.5796225414362913e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.986764612700572 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] 2.9299999999999815 y[1] (analytic) 3.1004094336516324 y[1] (numeric) 3.100409433651641 absolute error 8.43769498715119e-15 relative error 2.7214776524574544e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.998110537196649 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] 2.9399999999999813 y[1] (analytic) 3.1020355625146507 y[1] (numeric) 3.102035562514659 absolute error 8.43769498715119e-15 relative error 2.720051017181509e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.009456752500911 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] 2.949999999999981 y[1] (analytic) 3.10362857114426 y[1] (numeric) 3.103628571144269 absolute error 8.881784197001252e-15 relative error 2.8617419879359715e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.020803258636983 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] 2.959999999999981 y[1] (analytic) 3.1051884788659283 y[1] (numeric) 3.1051884788659367 absolute error 8.43769498715119e-15 relative error 2.7172891579942967e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.032150055628481 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] 2.9699999999999807 y[1] (analytic) 3.106715305311385 y[1] (numeric) 3.1067153053113934 absolute error 8.43769498715119e-15 relative error 2.7159537189409384e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.043497143499045 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] 2.9799999999999804 y[1] (analytic) 3.1082090704166885 y[1] (numeric) 3.1082090704166974 absolute error 8.881784197001252e-15 relative error 2.8575247017764334e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.054844522272299 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] 2.9899999999999802 y[1] (analytic) 3.1096697944203058 y[1] (numeric) 3.109669794420315 absolute error 9.325873406851315e-15 relative error 2.9989915403830886e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.066192191971885 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] 2.99999999999998 y[1] (analytic) 3.111097497861201 y[1] (numeric) 3.11109749786121 absolute error 8.881784197001252e-15 relative error 2.8548716982052955e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.07754015262144 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] 3.00999999999998 y[1] (analytic) 3.1124922015769347 y[1] (numeric) 3.112492201576944 absolute error 9.325873406851315e-15 relative error 2.9962720555978867e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.088888404244611 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] 3.0199999999999796 y[1] (analytic) 3.113853926701781 y[1] (numeric) 3.11385392670179 absolute error 9.325873406851315e-15 relative error 2.994961750414977e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.100236946865041 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] 3.0299999999999794 y[1] (analytic) 3.1151826946648473 y[1] (numeric) 3.1151826946648566 absolute error 9.325873406851315e-15 relative error 2.9936842621856747e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.111585780506378 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] 3.039999999999979 y[1] (analytic) 3.116478527188213 y[1] (numeric) 3.1164785271882223 absolute error 9.325873406851315e-15 relative error 2.9924394875473174e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.122934905192283 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] 3.049999999999979 y[1] (analytic) 3.117741446285074 y[1] (numeric) 3.117741446285083 absolute error 9.325873406851315e-15 relative error 2.9912273251406087e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.134284320946396 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] 3.0599999999999787 y[1] (analytic) 3.1189714742579002 y[1] (numeric) 3.1189714742579095 absolute error 9.325873406851315e-15 relative error 2.990047675594798e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.145634027792398 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] 3.0699999999999785 y[1] (analytic) 3.1201686336966055 y[1] (numeric) 3.120168633696615 absolute error 9.325873406851315e-15 relative error 2.9889004415131657e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.156984025753939 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] 3.0799999999999783 y[1] (analytic) 3.1213329474767253 y[1] (numeric) 3.1213329474767346 absolute error 9.325873406851315e-15 relative error 2.9877855274588116e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.168334314854689 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] 3.089999999999978 y[1] (analytic) 3.122464438757609 y[1] (numeric) 3.1224644387576177 absolute error 8.881784197001252e-15 relative error 2.844478895181656e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.179684895118312 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] 3.099999999999978 y[1] (analytic) 3.1235631309806173 y[1] (numeric) 3.1235631309806267 absolute error 9.325873406851315e-15 relative error 2.9856522874002336e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.191035766568489 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] 3.1099999999999777 y[1] (analytic) 3.1246290478673386 y[1] (numeric) 3.124629047867348 absolute error 9.325873406851315e-15 relative error 2.9846337801975334e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.202386929228894 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] 3.1199999999999775 y[1] (analytic) 3.1256622134178076 y[1] (numeric) 3.1256622134178165 absolute error 8.881784197001252e-15 relative error 2.8415687910464634e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.213738383123207 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] 3.1299999999999772 y[1] (analytic) 3.1266626519087377 y[1] (numeric) 3.1266626519087466 absolute error 8.881784197001252e-15 relative error 2.8406595740602773e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.225090128275114 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] 3.139999999999977 y[1] (analytic) 3.1276303878917666 y[1] (numeric) 3.127630387891775 absolute error 8.43769498715119e-15 relative error 2.697791599613778e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.236442164708294 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] 3.149999999999977 y[1] (analytic) 3.128565446191706 y[1] (numeric) 3.1285654461917147 absolute error 8.881784197001252e-15 relative error 2.8389318842003894e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.247794492446446 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] 3.1599999999999766 y[1] (analytic) 3.129467851904809 y[1] (numeric) 3.129467851904818 absolute error 8.881784197001252e-15 relative error 2.838113256729955e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.2591471115132595 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] 3.1699999999999764 y[1] (analytic) 3.1303376303970407 y[1] (numeric) 3.1303376303970496 absolute error 8.881784197001252e-15 relative error 2.8373246741038343e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.2705000219324285 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] 3.179999999999976 y[1] (analytic) 3.1311748073023633 y[1] (numeric) 3.1311748073023717 absolute error 8.43769498715119e-15 relative error 2.694737760240417e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.281853223727655 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] 3.189999999999976 y[1] (analytic) 3.131979408521027 y[1] (numeric) 3.1319794085210364 absolute error 9.325873406851315e-15 relative error 2.977629221149684e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.293206716922643 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] 3.1999999999999758 y[1] (analytic) 3.1327514602178796 y[1] (numeric) 3.1327514602178885 absolute error 8.881784197001252e-15 relative error 2.835138474848411e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.304560501541107 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] 3.2099999999999755 y[1] (analytic) 3.1334909888206726 y[1] (numeric) 3.1334909888206814 absolute error 8.881784197001252e-15 relative error 2.8344693597935064e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.315914577606743 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] 3.2199999999999753 y[1] (analytic) 3.1341980210183893 y[1] (numeric) 3.1341980210183977 absolute error 8.43769498715119e-15 relative error 2.6921384451674005e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.327268945143277 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] 3.229999999999975 y[1] (analytic) 3.134872583759574 y[1] (numeric) 3.134872583759583 absolute error 8.881784197001252e-15 relative error 2.833220157978335e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.338623604174422 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] 3.239999999999975 y[1] (analytic) 3.135514704250679 y[1] (numeric) 3.135514704250688 absolute error 9.325873406851315e-15 relative error 2.974271941448286e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.349978554723889 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] 3.2499999999999747 y[1] (analytic) 3.1361244099544123 y[1] (numeric) 3.136124409954421 absolute error 8.881784197001252e-15 relative error 2.83208924008546e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.361333796815414 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] 3.2599999999999745 y[1] (analytic) 3.1367017285880996 y[1] (numeric) 3.1367017285881085 absolute error 8.881784197001252e-15 relative error 2.831567986223269e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.372689330472724 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] 3.2699999999999743 y[1] (analytic) 3.1372466881220573 y[1] (numeric) 3.137246688122066 absolute error 8.881784197001252e-15 relative error 2.8310761250075143e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.384045155719543 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] 3.279999999999974 y[1] (analytic) 3.1377593167779696 y[1] (numeric) 3.1377593167779785 absolute error 8.881784197001252e-15 relative error 2.830613600447078e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.3954012725796066 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] 3.289999999999974 y[1] (analytic) 3.1382396430272803 y[1] (numeric) 3.1382396430272887 absolute error 8.43769498715119e-15 relative error 2.688671340284207e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.406757681076659 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] 3.2999999999999736 y[1] (analytic) 3.1386876955895886 y[1] (numeric) 3.1386876955895975 absolute error 8.881784197001252e-15 relative error 2.829776345535024e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.418114381234431 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] 3.3099999999999734 y[1] (analytic) 3.1391035034310604 y[1] (numeric) 3.139103503431069 absolute error 8.43769498715119e-15 relative error 2.687931435815587e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.429471373076669 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] 3.319999999999973 y[1] (analytic) 3.13948709576284 y[1] (numeric) 3.1394870957628482 absolute error 8.43769498715119e-15 relative error 2.6876030159636567e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.44082865662712 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] 3.329999999999973 y[1] (analytic) 3.1398385020394795 y[1] (numeric) 3.139838502039488 absolute error 8.43769498715119e-15 relative error 2.6873022232418935e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.452186231909545 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] 3.3399999999999728 y[1] (analytic) 3.140157751957372 y[1] (numeric) 3.1401577519573802 absolute error 8.43769498715119e-15 relative error 2.687029013714892e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.463544098947684 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] 3.3499999999999726 y[1] (analytic) 3.140444875453194 y[1] (numeric) 3.1404448754532024 absolute error 8.43769498715119e-15 relative error 2.6867833449659123e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.474902257765301 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] 3.3599999999999723 y[1] (analytic) 3.1406999027023583 y[1] (numeric) 3.1406999027023668 absolute error 8.43769498715119e-15 relative error 2.6865651760905676e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.48626070838616 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] 3.369999999999972 y[1] (analytic) 3.140922864117475 y[1] (numeric) 3.1409228641174836 absolute error 8.43769498715119e-15 relative error 2.6863744676907185e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.497619450834016 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] 3.379999999999972 y[1] (analytic) 3.1411137903468194 y[1] (numeric) 3.1411137903468282 absolute error 8.881784197001252e-15 relative error 2.8275907177563883e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.508978485132647 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] 3.3899999999999717 y[1] (analytic) 3.1412727122728117 y[1] (numeric) 3.1412727122728206 absolute error 8.881784197001252e-15 relative error 2.827447665495746e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.520337811305819 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] 3.3999999999999715 y[1] (analytic) 3.1413996610105017 y[1] (numeric) 3.141399661010511 absolute error 9.325873406851315e-15 relative error 2.96870007423743e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.531697429377305 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] 3.4099999999999713 y[1] (analytic) 3.141494667906066 y[1] (numeric) 3.1414946679060747 absolute error 8.881784197001252e-15 relative error 2.8272478981864145e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.543057339370888 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] 3.419999999999971 y[1] (analytic) 3.1415577645353063 y[1] (numeric) 3.1415577645353157 absolute error 9.325873406851315e-15 relative error 2.968550670030663e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.55441754131034 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] 3.429999999999971 y[1] (analytic) 3.1415889827021686 y[1] (numeric) 3.1415889827021775 absolute error 8.881784197001252e-15 relative error 2.827163020339402e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.565778035219465 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] 3.4399999999999706 y[1] (analytic) 3.141588354437255 y[1] (numeric) 3.141588354437264 absolute error 8.881784197001252e-15 relative error 2.827163585724529e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.57713882112203 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] 3.4499999999999704 y[1] (analytic) 3.141555911996358 y[1] (numeric) 3.1415559119963667 absolute error 8.881784197001252e-15 relative error 2.827192781476604e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.588499899041827 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] 3.45999999999997 y[1] (analytic) 3.1414916878589922 y[1] (numeric) 3.1414916878590007 absolute error 8.43769498715119e-15 relative error 2.6858880511320715e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.599861269002667 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] 3.46999999999997 y[1] (analytic) 3.141395714726941 y[1] (numeric) 3.14139571472695 absolute error 8.881784197001252e-15 relative error 2.8273369557879093e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.61122293102834 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] 3.47999999999997 y[1] (analytic) 3.141268025522809 y[1] (numeric) 3.1412680255228174 absolute error 8.43769498715119e-15 relative error 2.686079289826561e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.622584885142645 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] 3.4899999999999696 y[1] (analytic) 3.1411086533885793 y[1] (numeric) 3.141108653388588 absolute error 8.881784197001252e-15 relative error 2.8275953419884797e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.633947131369386 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] 3.4999999999999694 y[1] (analytic) 3.140917631684186 y[1] (numeric) 3.1409176316841947 absolute error 8.881784197001252e-15 relative error 2.8277673083196285e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.6453096697323755 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] 3.509999999999969 y[1] (analytic) 3.1406949939860858 y[1] (numeric) 3.1406949939860946 absolute error 8.881784197001252e-15 relative error 2.827967763188851e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.656672500255427 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] 3.519999999999969 y[1] (analytic) 3.140440774085845 y[1] (numeric) 3.140440774085854 absolute error 8.881784197001252e-15 relative error 2.8281966882775115e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.668035622962353 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] 3.5299999999999687 y[1] (analytic) 3.1401550059887295 y[1] (numeric) 3.1401550059887384 absolute error 8.881784197001252e-15 relative error 2.8284540667777246e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.679399037876966 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] 3.5399999999999685 y[1] (analytic) 3.1398377239123034 y[1] (numeric) 3.1398377239123123 absolute error 8.881784197001252e-15 relative error 2.8287398833893756e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.690762745023097 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] 3.5499999999999683 y[1] (analytic) 3.139488962285037 y[1] (numeric) 3.139488962285046 absolute error 8.881784197001252e-15 relative error 2.8290541243173405e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.702126744424566 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] 3.559999999999968 y[1] (analytic) 3.1391087557449207 y[1] (numeric) 3.1391087557449295 absolute error 8.881784197001252e-15 relative error 2.829396777268896e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.7134910361052045 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] 3.569999999999968 y[1] (analytic) 3.1386971391380865 y[1] (numeric) 3.1386971391380953 absolute error 8.881784197001252e-15 relative error 2.8297678314513226e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.7248556200888485 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] 3.5799999999999677 y[1] (analytic) 3.138254147517438 y[1] (numeric) 3.138254147517447 absolute error 8.881784197001252e-15 relative error 2.8301672775697013e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.736220496399323 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] 3.5899999999999674 y[1] (analytic) 3.137779816141288 y[1] (numeric) 3.1377798161412964 absolute error 8.43769498715119e-15 relative error 2.6890653524336575e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.747585665060477 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] 3.5999999999999672 y[1] (analytic) 3.137274180471998 y[1] (numeric) 3.137274180472007 absolute error 8.881784197001252e-15 relative error 2.8310513159117647e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.758951126096144 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] 3.609999999999967 y[1] (analytic) 3.136737276174636 y[1] (numeric) 3.136737276174645 absolute error 8.881784197001252e-15 relative error 2.83153589701746e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.770316879530178 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] 3.619999999999967 y[1] (analytic) 3.1361691391156317 y[1] (numeric) 3.1361691391156405 absolute error 8.881784197001252e-15 relative error 2.832048847820059e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.781682925386424 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] 3.6299999999999666 y[1] (analytic) 3.1355698053614423 y[1] (numeric) 3.135569805361451 absolute error 8.881784197001252e-15 relative error 2.832590166487279e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.793049263688732 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] 3.6399999999999664 y[1] (analytic) 3.1349393111772264 y[1] (numeric) 3.134939311177235 absolute error 8.43769498715119e-15 relative error 2.6915018600416486e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.804415894460963 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] 3.649999999999966 y[1] (analytic) 3.1342776930255227 y[1] (numeric) 3.134277693025531 absolute error 8.43769498715119e-15 relative error 2.692070012152073e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.815782817726971 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] 3.659999999999966 y[1] (analytic) 3.13358498756494 y[1] (numeric) 3.133584987564949 absolute error 8.881784197001252e-15 relative error 2.8343843336775585e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.827150033510623 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] 3.6699999999999657 y[1] (analytic) 3.1328612316488496 y[1] (numeric) 3.132861231648858 absolute error 8.43769498715119e-15 relative error 2.6932871784781746e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.838517541835787 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] 3.6799999999999655 y[1] (analytic) 3.1321064623240846 y[1] (numeric) 3.1321064623240935 absolute error 8.881784197001252e-15 relative error 2.835722317820191e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.849885342726325 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] 3.6899999999999653 y[1] (analytic) 3.1313207168296526 y[1] (numeric) 3.1313207168296615 absolute error 8.881784197001252e-15 relative error 2.8364338885075093e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.861253436206121 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] 3.699999999999965 y[1] (analytic) 3.130504032595447 y[1] (numeric) 3.130504032595455 absolute error 7.993605777301127e-15 relative error 2.55345647029043e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.872621822299038 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] 3.709999999999965 y[1] (analytic) 3.1296564472409676 y[1] (numeric) 3.129656447240976 absolute error 8.43769498715119e-15 relative error 2.6960451184952475e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.883990501028958 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] 3.7199999999999647 y[1] (analytic) 3.128777998574055 y[1] (numeric) 3.1287779985740634 absolute error 8.43769498715119e-15 relative error 2.696802071286835e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.8953594724197815 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] 3.7299999999999645 y[1] (analytic) 3.1278687245896193 y[1] (numeric) 3.127868724589628 absolute error 8.881784197001252e-15 relative error 2.839564246151844e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.906728736495376 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] 3.7399999999999642 y[1] (analytic) 3.126928663468387 y[1] (numeric) 3.1269286634683957 absolute error 8.881784197001252e-15 relative error 2.8404179157542996e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.918098293279641 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] 3.749999999999964 y[1] (analytic) 3.1259578535756454 y[1] (numeric) 3.125957853575654 absolute error 8.43769498715119e-15 relative error 2.6992350448678256e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.929468142796462 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] 3.759999999999964 y[1] (analytic) 3.1249563334600006 y[1] (numeric) 3.124956333460009 absolute error 8.43769498715119e-15 relative error 2.700100125178019e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.9408382850697405 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] 3.7699999999999636 y[1] (analytic) 3.1239241418521386 y[1] (numeric) 3.1239241418521475 absolute error 8.881784197001252e-15 relative error 2.843149767310081e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.952208720123384 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] 3.7799999999999634 y[1] (analytic) 3.122861317663594 y[1] (numeric) 3.1228613176636024 absolute error 8.43769498715119e-15 relative error 2.7019115256337904e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.963579447981281 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] 3.789999999999963 y[1] (analytic) 3.121767899985522 y[1] (numeric) 3.1217678999855303 absolute error 8.43769498715119e-15 relative error 2.702857886132509e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.974950468667346 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] 3.799999999999963 y[1] (analytic) 3.1206439280874827 y[1] (numeric) 3.120643928087491 absolute error 8.43769498715119e-15 relative error 2.7038313827500063e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.986321782205495 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] 3.8099999999999627 y[1] (analytic) 3.119489441416227 y[1] (numeric) 3.1194894414162353 absolute error 8.43769498715119e-15 relative error 2.704832039220025e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.99769338861963 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] 3.8199999999999625 y[1] (analytic) 3.11830447959449 y[1] (numeric) 3.1183044795944985 absolute error 8.43769498715119e-15 relative error 2.705859880703004e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.009065287933677 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] 3.8299999999999623 y[1] (analytic) 3.117089082419793 y[1] (numeric) 3.1170890824198016 absolute error 8.43769498715119e-15 relative error 2.706914933788487e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.020437480171555 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] 3.839999999999962 y[1] (analytic) 3.1158432898632467 y[1] (numeric) 3.1158432898632555 absolute error 8.881784197001252e-15 relative error 2.850523396313385e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.031809965357196 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] 3.849999999999962 y[1] (analytic) 3.1145671420683674 y[1] (numeric) 3.114567142068376 absolute error 8.43769498715119e-15 relative error 2.709106788286401e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.043182743514503 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] 3.8599999999999617 y[1] (analytic) 3.1132606793498914 y[1] (numeric) 3.1132606793498994 absolute error 7.993605777301127e-15 relative error 2.5675992474135976e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.054555814667429 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] 3.8699999999999615 y[1] (analytic) 3.1119239421926026 y[1] (numeric) 3.111923942192611 absolute error 8.43769498715119e-15 relative error 2.711407844115287e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.0659291788399035 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] 3.8799999999999613 y[1] (analytic) 3.110556971250164 y[1] (numeric) 3.1105569712501726 absolute error 8.43769498715119e-15 relative error 2.712599404266817e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.0773028360558685 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] 3.889999999999961 y[1] (analytic) 3.1091598073439526 y[1] (numeric) 3.1091598073439615 absolute error 8.881784197001252e-15 relative error 2.856650911291901e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.088676786339248 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] 3.899999999999961 y[1] (analytic) 3.107732491461903 y[1] (numeric) 3.1077324914619116 absolute error 8.43769498715119e-15 relative error 2.7150647651728957e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.10005102971401 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] 3.9099999999999606 y[1] (analytic) 3.1062750647573565 y[1] (numeric) 3.1062750647573645 absolute error 7.993605777301127e-15 relative error 2.573373449117115e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.111425566204084 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] 3.9199999999999604 y[1] (analytic) 3.104787568547914 y[1] (numeric) 3.1047875685479225 absolute error 8.43769498715119e-15 relative error 2.7176400320030386e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.122800395833431 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] 3.92999999999996 y[1] (analytic) 3.1032700443143013 y[1] (numeric) 3.1032700443143098 absolute error 8.43769498715119e-15 relative error 2.7189689800313795e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.1341755186260025 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] 3.93999999999996 y[1] (analytic) 3.1017225336992302 y[1] (numeric) 3.1017225336992387 absolute error 8.43769498715119e-15 relative error 2.720325527341119e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.1455509346057635 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] 3.9499999999999598 y[1] (analytic) 3.1001450785062747 y[1] (numeric) 3.1001450785062827 absolute error 7.993605777301127e-15 relative error 2.5784618380352187e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.156926643796662 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] 3.9599999999999596 y[1] (analytic) 3.0985377206987463 y[1] (numeric) 3.0985377206987543 absolute error 7.993605777301127e-15 relative error 2.5797994079279765e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.168302646222667 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] 3.9699999999999593 y[1] (analytic) 3.09690050239858 y[1] (numeric) 3.096900502398588 absolute error 7.993605777301127e-15 relative error 2.581163253746771e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.179678941907764 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] 3.979999999999959 y[1] (analytic) 3.095233465885222 y[1] (numeric) 3.09523346588523 absolute error 7.993605777301127e-15 relative error 2.582553421383028e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.191055530875897 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] 3.989999999999959 y[1] (analytic) 3.0935366535945263 y[1] (numeric) 3.0935366535945343 absolute error 7.993605777301127e-15 relative error 2.583969958142561e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.202432413151068 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] 3.9999999999999587 y[1] (analytic) 3.0918101081176554 y[1] (numeric) 3.0918101081176634 absolute error 7.993605777301127e-15 relative error 2.585412912750895e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.213809588757234 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] 4.009999999999959 y[1] (analytic) 3.090053872199986 y[1] (numeric) 3.0900538721999937 absolute error 7.549516567451064e-15 relative error 2.4431666500610654e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.225187057718401 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] 4.019999999999959 y[1] (analytic) 3.0882679887400197 y[1] (numeric) 3.0882679887400273 absolute error 7.549516567451064e-15 relative error 2.444579484350769e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.236564820058537 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] 4.0299999999999585 y[1] (analytic) 3.0864525007883032 y[1] (numeric) 3.086452500788311 absolute error 7.549516567451064e-15 relative error 2.446017414984634e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.247942875801628 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] 4.039999999999958 y[1] (analytic) 3.08460745154635 y[1] (numeric) 3.0846074515463573 absolute error 7.105427357601002e-15 relative error 2.3035110526102657e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.259321224971675 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] 4.049999999999958 y[1] (analytic) 3.082732884365567 y[1] (numeric) 3.0827328843655746 absolute error 7.549516567451064e-15 relative error 2.4489687723965e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.270699867592679 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] 4.059999999999958 y[1] (analytic) 3.0808288427461923 y[1] (numeric) 3.0808288427461994 absolute error 7.105427357601002e-15 relative error 2.3063362881487956e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.282078803688626 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] 4.069999999999958 y[1] (analytic) 3.0788953703362294 y[1] (numeric) 3.0788953703362365 absolute error 7.105427357601002e-15 relative error 2.307784611993832e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.29345803328353 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] 4.079999999999957 y[1] (analytic) 3.0769325109303955 y[1] (numeric) 3.0769325109304027 absolute error 7.105427357601002e-15 relative error 2.3092568109179877e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.304837556401395 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] 4.089999999999957 y[1] (analytic) 3.074940308469069 y[1] (numeric) 3.0749403084690767 absolute error 7.549516567451064e-15 relative error 2.4551749985708725e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.31621737306623 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] 4.099999999999957 y[1] (analytic) 3.0729188070372473 y[1] (numeric) 3.072918807037255 absolute error 7.549516567451064e-15 relative error 2.4567901208980935e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.327597483302045 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] 4.109999999999957 y[1] (analytic) 3.070868050863504 y[1] (numeric) 3.070868050863511 absolute error 7.105427357601002e-15 relative error 2.3138172138666173e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.338977887132861 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] 4.119999999999957 y[1] (analytic) 3.0687880843189554 y[1] (numeric) 3.0687880843189626 absolute error 7.105427357601002e-15 relative error 2.315385475428774e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.350358584582696 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] 4.129999999999956 y[1] (analytic) 3.0666789519162325 y[1] (numeric) 3.066678951916239 absolute error 6.661338147750939e-15 relative error 2.1721667811325873e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.3617395756755695 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] 4.139999999999956 y[1] (analytic) 3.064540698308454 y[1] (numeric) 3.0645406983084613 absolute error 7.105427357601002e-15 relative error 2.3185945487762686e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.373120860435518 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] 4.149999999999956 y[1] (analytic) 3.062373368288213 y[1] (numeric) 3.0623733682882195 absolute error 6.661338147750939e-15 relative error 2.1752207672425175e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.384502438886562 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] 4.159999999999956 y[1] (analytic) 3.060177006786555 y[1] (numeric) 3.060177006786561 absolute error 6.217248937900877e-15 relative error 2.0316631763825697e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.395884311052739 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] 4.1699999999999555 y[1] (analytic) 3.0579516588719744 y[1] (numeric) 3.0579516588719806 absolute error 6.217248937900877e-15 relative error 2.0331416684965885e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.407266476958086 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] 4.179999999999955 y[1] (analytic) 3.0556973697494105 y[1] (numeric) 3.0556973697494167 absolute error 6.217248937900877e-15 relative error 2.034641584421934e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.41864893662665 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] 4.189999999999955 y[1] (analytic) 3.053414184759246 y[1] (numeric) 3.053414184759253 absolute error 6.661338147750939e-15 relative error 2.1816031971686699e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.430031690082466 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] 4.199999999999955 y[1] (analytic) 3.0511021493763164 y[1] (numeric) 3.0511021493763226 absolute error 6.217248937900877e-15 relative error 2.0377059283877992e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.4414147373495805 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] 4.209999999999955 y[1] (analytic) 3.0487613092089156 y[1] (numeric) 3.0487613092089223 absolute error 6.661338147750939e-15 relative error 2.1849326569548355e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.452798078452053 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] 4.2199999999999545 y[1] (analytic) 3.046391709997819 y[1] (numeric) 3.0463917099978253 absolute error 6.217248937900877e-15 relative error 2.0408567018800507e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.464181713413933 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] 4.229999999999954 y[1] (analytic) 3.043993397615297 y[1] (numeric) 3.0439933976153033 absolute error 6.217248937900877e-15 relative error 2.0424646593424112e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.475565642259286 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] 4.239999999999954 y[1] (analytic) 3.0415664180641464 y[1] (numeric) 3.0415664180641526 absolute error 6.217248937900877e-15 relative error 2.0440944182497728e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.486949865012158 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] 4.249999999999954 y[1] (analytic) 3.039110817476718 y[1] (numeric) 3.0391108174767236 absolute error 5.773159728050814e-15 relative error 1.8996213283344813e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.498334381696627 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] 4.259999999999954 y[1] (analytic) 3.03662664211395 y[1] (numeric) 3.036626642113956 absolute error 5.773159728050814e-15 relative error 1.9011753529343417e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.509719192336762 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] 4.269999999999953 y[1] (analytic) 3.0341139383644125 y[1] (numeric) 3.0341139383644182 absolute error 5.773159728050814e-15 relative error 1.902749812738716e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.521104296956613 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] 4.279999999999953 y[1] (analytic) 3.0315727527433483 y[1] (numeric) 3.031572752743354 absolute error 5.773159728050814e-15 relative error 1.904344773789952e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.532489695580282 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] 4.289999999999953 y[1] (analytic) 3.0290031318917237 y[1] (numeric) 3.02900313189173 absolute error 6.217248937900877e-15 relative error 2.0525726343564314e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.543875388231836 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] 4.299999999999953 y[1] (analytic) 3.0264051225752833 y[1] (numeric) 3.026405122575289 absolute error 5.773159728050814e-15 relative error 1.907596469813735e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.555261374935358 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] 4.3099999999999525 y[1] (analytic) 3.023778771683606 y[1] (numeric) 3.0237787716836113 absolute error 5.329070518200751e-15 relative error 1.7623877011457372e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.566647655714934 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] 4.319999999999952 y[1] (analytic) 3.0211241262291693 y[1] (numeric) 3.0211241262291755 absolute error 6.217248937900877e-15 relative error 2.05792568531799e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.57803423059465 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] 4.329999999999952 y[1] (analytic) 3.0184412333464206 y[1] (numeric) 3.0184412333464268 absolute error 6.217248937900877e-15 relative error 2.0597548394235492e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.589421099598602 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] 4.339999999999952 y[1] (analytic) 3.0157301402908447 y[1] (numeric) 3.01573014029085 absolute error 5.329070518200751e-15 relative error 1.7670913080063596e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.600808262750882 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] 4.349999999999952 y[1] (analytic) 3.0129908944380412 y[1] (numeric) 3.0129908944380466 absolute error 5.329070518200751e-15 relative error 1.7686978503779006e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.612195720075595 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] 4.3599999999999515 y[1] (analytic) 3.0102235432828084 y[1] (numeric) 3.010223543282814 absolute error 5.773159728050814e-15 relative error 1.9178508323520974e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.623583471596841 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] 4.369999999999951 y[1] (analytic) 3.0074281344382294 y[1] (numeric) 3.0074281344382348 absolute error 5.329070518200751e-15 relative error 1.7719693638485536e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.63497151733872 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] 4.379999999999951 y[1] (analytic) 3.004604715634758 y[1] (numeric) 3.004604715634764 absolute error 5.773159728050814e-15 relative error 1.921437351811906e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.646359857325354 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] 4.389999999999951 y[1] (analytic) 3.00175333471932 y[1] (numeric) 3.001753334719325 absolute error 4.884981308350689e-15 relative error 1.627375991174658e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.657748491580847 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] 4.399999999999951 y[1] (analytic) 2.998874039654404 y[1] (numeric) 2.9988740396544094 absolute error 5.329070518200751e-15 relative error 1.7770237921746403e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.669137420129316 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] 4.40999999999995 y[1] (analytic) 2.995966878517173 y[1] (numeric) 2.9959668785171782 absolute error 5.329070518200751e-15 relative error 1.778748141848059e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.680526642994878 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] 4.41999999999995 y[1] (analytic) 2.9930318994985674 y[1] (numeric) 2.9930318994985727 absolute error 5.329070518200751e-15 relative error 1.7804923893706407e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.691916160201672 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] 4.42999999999995 y[1] (analytic) 2.990069150902419 y[1] (numeric) 2.990069150902424 absolute error 4.884981308350689e-15 relative error 1.6337352287910715e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.703305971773808 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] 4.43999999999995 y[1] (analytic) 2.9870786811445664 y[1] (numeric) 2.987078681144571 absolute error 4.440892098500626e-15 relative error 1.4867007442867218e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.714696077735427 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] 4.4499999999999496 y[1] (analytic) 2.9840605387519754 y[1] (numeric) 2.98406053875198 absolute error 4.440892098500626e-15 relative error 1.4882044250878173e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.726086478110649 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] 4.459999999999949 y[1] (analytic) 2.981014772361865 y[1] (numeric) 2.98101477236187 absolute error 4.884981308350689e-15 relative error 1.6386974508282313e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.737477172923624 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] 4.469999999999949 y[1] (analytic) 2.9779414307208385 y[1] (numeric) 2.977941430720843 absolute error 4.440892098500626e-15 relative error 1.49126240452139e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.74886816219849 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] 4.479999999999949 y[1] (analytic) 2.9748405626840104 y[1] (numeric) 2.974840562684015 absolute error 4.440892098500626e-15 relative error 1.4928168434324057e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.760259445959395 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] 4.489999999999949 y[1] (analytic) 2.9717122172141504 y[1] (numeric) 2.9717122172141552 absolute error 4.884981308350689e-15 relative error 1.643827178168061e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.771651024230474 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] 4.4999999999999485 y[1] (analytic) 2.968556443380823 y[1] (numeric) 2.9685564433808276 absolute error 4.440892098500626e-15 relative error 1.4959769784410744e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.783042897035897 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] 4.509999999999948 y[1] (analytic) 2.9653732903595316 y[1] (numeric) 2.965373290359536 absolute error 4.440892098500626e-15 relative error 1.4975828213392311e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.7944350643998 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] 4.519999999999948 y[1] (analytic) 2.9621628074308695 y[1] (numeric) 2.9621628074308743 absolute error 4.884981308350689e-15 relative error 1.6491265423008636e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.805827526346351 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] 4.529999999999948 y[1] (analytic) 2.9589250439796753 y[1] (numeric) 2.95892504397968 absolute error 4.884981308350689e-15 relative error 1.6509310765711453e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.817220282899708 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] 4.539999999999948 y[1] (analytic) 2.9556600494941887 y[1] (numeric) 2.955660049494193 absolute error 4.440892098500626e-15 relative error 1.5025043557565457e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.828613334084039 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] 4.549999999999947 y[1] (analytic) 2.9523678735652124 y[1] (numeric) 2.952367873565217 absolute error 4.440892098500626e-15 relative error 1.5041797935356564e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.84000667992351 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] 4.559999999999947 y[1] (analytic) 2.9490485658852803 y[1] (numeric) 2.9490485658852843 absolute error 3.9968028886505635e-15 relative error 1.3552855435769182e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.8514003204422975 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] 4.569999999999947 y[1] (analytic) 2.945702176247825 y[1] (numeric) 2.9457021762478295 absolute error 4.440892098500626e-15 relative error 1.5075835345164947e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.862794255664568 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] 4.579999999999947 y[1] (analytic) 2.942328754546355 y[1] (numeric) 2.942328754546359 absolute error 3.9968028886505635e-15 relative error 1.3583808004033818e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.874188485614509 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] 4.589999999999947 y[1] (analytic) 2.9389283507736277 y[1] (numeric) 2.9389283507736317 absolute error 3.9968028886505635e-15 relative error 1.3599524764183062e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.885583010316299 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] 4.599999999999946 y[1] (analytic) 2.9355010150208356 y[1] (numeric) 2.9355010150208396 absolute error 3.9968028886505635e-15 relative error 1.3615402850140712e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.896977829794124 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] 4.609999999999946 y[1] (analytic) 2.932046797476789 y[1] (numeric) 2.9320467974767936 absolute error 4.440892098500626e-15 relative error 1.5146047813160055e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.908372944072172 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] 4.619999999999946 y[1] (analytic) 2.92856574842711 y[1] (numeric) 2.928565748427114 absolute error 3.9968028886505635e-15 relative error 1.3647646090230988e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.9197683531746375 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] 4.629999999999946 y[1] (analytic) 2.925057918253419 y[1] (numeric) 2.9250579182534224 absolute error 3.552713678800501e-15 relative error 1.214578917097772e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.931164057125715 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] 4.6399999999999455 y[1] (analytic) 2.921523357432537 y[1] (numeric) 2.92152335743254 absolute error 3.1086244689504383e-15 relative error 1.0640423123922335e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.942560055949606 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] 4.649999999999945 y[1] (analytic) 2.917962116535685 y[1] (numeric) 2.9179621165356884 absolute error 3.552713678800501e-15 relative error 1.2175324890846826e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.953956349670514 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] 4.659999999999945 y[1] (analytic) 2.9143742462276894 y[1] (numeric) 2.914374246227693 absolute error 3.552713678800501e-15 relative error 1.2190313867201737e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.965352938312647 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] 4.669999999999945 y[1] (analytic) 2.910759797266191 y[1] (numeric) 2.910759797266194 absolute error 3.1086244689504383e-15 relative error 1.0679769838342839e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.976749821900216 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] 4.679999999999945 y[1] (analytic) 2.9071188205008536 y[1] (numeric) 2.907118820500857 absolute error 3.552713678800501e-15 relative error 1.2220737775652463e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.988147000457422 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] 4.689999999999944 y[1] (analytic) 2.9034513668725865 y[1] (numeric) 2.90345136687259 absolute error 3.552713678800501e-15 relative error 1.2236174228147168e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.999544474008504 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] 4.699999999999944 y[1] (analytic) 2.899757487412758 y[1] (numeric) 2.8997574874127614 absolute error 3.552713678800501e-15 relative error 1.2251761377363762e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.010942242577658 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] 4.709999999999944 y[1] (analytic) 2.896037233242422 y[1] (numeric) 2.896037233242425 absolute error 3.1086244689504383e-15 relative error 1.0734062508823487e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.0223403061891325 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] 4.719999999999944 y[1] (analytic) 2.8922906555715446 y[1] (numeric) 2.8922906555715473 absolute error 2.6645352591003757e-15 relative error 9.212543192944893e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.033738664867134 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] 4.729999999999944 y[1] (analytic) 2.8885178056982337 y[1] (numeric) 2.8885178056982364 absolute error 2.6645352591003757e-15 relative error 9.224576195597606e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.045137318635907 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] 4.739999999999943 y[1] (analytic) 2.884718735007975 y[1] (numeric) 2.884718735007978 absolute error 3.1086244689504383e-15 relative error 1.0776178735296508e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.056536267519674 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] 4.749999999999943 y[1] (analytic) 2.880893494972869 y[1] (numeric) 2.880893494972872 absolute error 3.1086244689504383e-15 relative error 1.0790487306715635e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.067935511542686 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] 4.759999999999943 y[1] (analytic) 2.877042137150872 y[1] (numeric) 2.877042137150875 absolute error 3.1086244689504383e-15 relative error 1.0804932012670839e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.07933505072918 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] 4.769999999999943 y[1] (analytic) 2.873164713185042 y[1] (numeric) 2.873164713185045 absolute error 2.6645352591003757e-15 relative error 9.273868800047351e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.090734885103394 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] 4.7799999999999425 y[1] (analytic) 2.869261274802786 y[1] (numeric) 2.869261274802789 absolute error 2.6645352591003757e-15 relative error 9.286485279328624e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.10213501468959 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] 4.789999999999942 y[1] (analytic) 2.8653318738151143 y[1] (numeric) 2.8653318738151166 absolute error 2.220446049250313e-15 relative error 7.749350326717468e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.113535439512006 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] 4.799999999999942 y[1] (analytic) 2.8613765621158933 y[1] (numeric) 2.861376562115895 absolute error 1.7763568394002505e-15 relative error 6.2080498698385e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.1249361595948955 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] 4.809999999999942 y[1] (analytic) 2.8573953916811057 y[1] (numeric) 2.857395391681108 absolute error 2.220446049250313e-15 relative error 7.770874327420074e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.136337174962542 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] 4.819999999999942 y[1] (analytic) 2.8533884145681156 y[1] (numeric) 2.8533884145681174 absolute error 1.7763568394002505e-15 relative error 6.225429494039342e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.1477384856391835 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] 4.8299999999999415 y[1] (analytic) 2.84935568291493 y[1] (numeric) 2.8493556829149314 absolute error 1.3322676295501878e-15 relative error 4.6756803214797663e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.159140091649094 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] 4.839999999999941 y[1] (analytic) 2.84529724893947 y[1] (numeric) 2.8452972489394712 absolute error 1.3322676295501878e-15 relative error 4.682349550813241e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.170541993016543 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] 4.849999999999941 y[1] (analytic) 2.841213164938844 y[1] (numeric) 2.841213164938846 absolute error 1.7763568394002505e-15 relative error 6.252106886314832e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.181944189765799 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] 4.859999999999941 y[1] (analytic) 2.8371034832886264 y[1] (numeric) 2.8371034832886277 absolute error 1.3322676295501878e-15 relative error 4.6958725242051826e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.193346681921148 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] 4.869999999999941 y[1] (analytic) 2.8329682564421312 y[1] (numeric) 2.832968256442132 absolute error 8.881784197001252e-16 relative error 3.1351513299890306e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.204749469506852 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] 4.87999999999994 y[1] (analytic) 2.8288075369296983 y[1] (numeric) 2.8288075369296997 absolute error 1.3322676295501878e-15 relative error 4.709643947697448e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.216152552547218 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] 4.88999999999994 y[1] (analytic) 2.824621377357982 y[1] (numeric) 2.824621377357983 absolute error 1.3322676295501878e-15 relative error 4.7166237578939817e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.227555931066515 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] 4.89999999999994 y[1] (analytic) 2.8204098304092353 y[1] (numeric) 2.8204098304092367 absolute error 1.3322676295501878e-15 relative error 4.7236668060998735e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.238959605089032 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] 4.90999999999994 y[1] (analytic) 2.816172948840607 y[1] (numeric) 2.8161729488406086 absolute error 1.7763568394002505e-15 relative error 6.307697970508383e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.250363574639085 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] 4.9199999999999395 y[1] (analytic) 2.811910785483436 y[1] (numeric) 2.811910785483438 absolute error 1.7763568394002505e-15 relative error 6.317258885206243e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.261767839740947 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] 4.929999999999939 y[1] (analytic) 2.807623393242552 y[1] (numeric) 2.807623393242553 absolute error 1.3322676295501878e-15 relative error 4.7451792599987525e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.273172400418919 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] 4.939999999999939 y[1] (analytic) 2.8033108250955743 y[1] (numeric) 2.8033108250955756 absolute error 1.3322676295501878e-15 relative error 4.7524791672174504e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.284577256697337 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] 4.949999999999939 y[1] (analytic) 2.7989731340922233 y[1] (numeric) 2.798973134092224 absolute error 8.881784197001252e-16 relative error 3.1732295279360856e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.295982408600468 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] 4.959999999999939 y[1] (analytic) 2.794610373353625 y[1] (numeric) 2.7946103733536254 absolute error 4.440892098500626e-16 relative error 1.589091681918939e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.307387856152644 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] 4.9699999999999385 y[1] (analytic) 2.790222596071625 y[1] (numeric) 2.7902225960716254 absolute error 4.440892098500626e-16 relative error 1.5915906152982172e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.318793599378174 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] 4.979999999999938 y[1] (analytic) 2.7858098555081043 y[1] (numeric) 2.785809855508105 absolute error 4.440892098500626e-16 relative error 1.5941117049751593e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.330199638301377 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] 4.989999999999938 y[1] (analytic) 2.7813722049942973 y[1] (numeric) 2.7813722049942977 absolute error 4.440892098500626e-16 relative error 1.596655093671554e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.3416059729465895 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] 4.999999999999938 y[1] (analytic) 2.776909697930113 y[1] (numeric) 2.7769096979301136 absolute error 4.440892098500626e-16 relative error 1.5992209259850375e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.353012603338111 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 Finished! diff ( y , x , 1 ) = sin(sqrt(2.0*x + 3.0)); Iterations 491 Total Elapsed Time 0.0 Seconds Elapsed Time(since restart) 0.0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.40816326530484%