##############ECHO OF PROBLEM################# ##############temp/sub_sin_cpostode.ode################# diff ( y , x , 1 ) = sin(x) - 1,0; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=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(2.0 - cos(x) - x) 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 2.467208605532302e-183 estimated_step_error 2.467208605532302e-183 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.655715664606566e-175 estimated_step_error 1.655715664606566e-175 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.1111319694584357e-167 estimated_step_error 1.1111319694584357e-167 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 7.456680367024187e-160 estimated_step_error 7.456680367024187e-160 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 5.004093412037817e-152 estimated_step_error 5.004093412037817e-152 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 3.3581901424816246e-144 estimated_step_error 3.3581901424816246e-144 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 2.2536431215809203e-136 estimated_step_error 2.2536431215809203e-136 best_h 0.000128 opt_iter 8 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.512394117654307e-128 estimated_step_error 1.512394117654307e-128 best_h 0.000256 opt_iter 9 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.0149502701580557e-120 estimated_step_error 1.0149502701580557e-120 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 6.811212724408108e-113 estimated_step_error 6.811212724408108e-113 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 4.5709231343600255e-105 estimated_step_error 4.5709231343600255e-105 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 3.067488750234022e-97 estimated_step_error 3.067488750234022e-97 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 2.0585490116180908e-89 estimated_step_error 2.0585490116180908e-89 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 1.3814583197402446e-81 estimated_step_error 1.3814583197402446e-81 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 9.270668118428106e-74 estimated_step_error 9.270668118428106e-74 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 6.221249002016116e-66 estimated_step_error 6.221249002016116e-66 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 4.174750875079242e-58 estimated_step_error 4.174750875079242e-58 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 2.801274754399603e-50 estimated_step_error 2.801274754399603e-50 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 0.9049958347219743 y[1] (numeric) 0.9049958347219743 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 0.8960439020433032 y[1] (numeric) 0.8960439020433032 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 0.8871913641461339 y[1] (numeric) 0.8871913641461338 absolute error 1.1102230246251565e-16 relative error 1.2513907027191103e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 0.8784381062852119 y[1] (numeric) 0.878438106285212 absolute error 1.1102230246251565e-16 relative error 1.2638602727745153e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 0.8697840037873629 y[1] (numeric) 0.8697840037873629 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 0.8612289220639576 y[1] (numeric) 0.8612289220639577 absolute error 1.1102230246251565e-16 relative error 1.2891148870900411e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 0.8527727166243732 y[1] (numeric) 0.852772716624373 absolute error 1.1102230246251565e-16 relative error 1.3018979183807358e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 0.8444152330904394 y[1] (numeric) 0.8444152330904393 absolute error 1.1102230246251565e-16 relative error 1.3147832738188515e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 0.8361563072118786 y[1] (numeric) 0.8361563072118786 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 0.8279957648827295 y[1] (numeric) 0.8279957648827297 absolute error 2.220446049250313e-16 relative error 2.6817118437372668e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 0.8199334221587583 y[1] (numeric) 0.8199334221587584 absolute error 1.1102230246251565e-16 relative error 1.354040455750798e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 0.8119690852758515 y[1] (numeric) 0.8119690852758518 absolute error 2.220446049250313e-16 relative error 2.7346435837467352e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 0.8041025506693945 y[1] (numeric) 0.8041025506693945 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 0.7963336049946251 y[1] (numeric) 0.7963336049946251 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 0.7886620251479705 y[1] (numeric) 0.7886620251479703 absolute error 1.1102230246251565e-16 relative error 1.407729786934846e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 0.7810875782893553 y[1] (numeric) 0.7810875782893552 absolute error 1.1102230246251565e-16 relative error 1.421380976326156e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 0.7736100218654866 y[1] (numeric) 0.7736100218654867 absolute error 1.1102230246251565e-16 relative error 1.43511975445711e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 0.7662291036341092 y[1] (numeric) 0.7662291036341093 absolute error 1.1102230246251565e-16 relative error 1.448943950783827e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 0.7589445616892291 y[1] (numeric) 0.7589445616892289 absolute error 2.220446049250313e-16 relative error 2.9257025629225554e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 0.7517561244873029 y[1] (numeric) 0.7517561244873027 absolute error 2.220446049250313e-16 relative error 2.953678695686923e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 0.7446635108743939 y[1] (numeric) 0.7446635108743939 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 0.7376664301142865 y[1] (numeric) 0.7376664301142865 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 0.7307645819175589 y[1] (numeric) 0.730764581917559 absolute error 1.1102230246251565e-16 relative error 1.5192622249314296e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 0.7239576564716129 y[1] (numeric) 0.7239576564716129 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 0.7172453344716537 y[1] (numeric) 0.7172453344716536 absolute error 1.1102230246251565e-16 relative error 1.5478985658972364e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 0.7106272871526208 y[1] (numeric) 0.7106272871526209 absolute error 1.1102230246251565e-16 relative error 1.5623140916438167e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 0.704103176322065 y[1] (numeric) 0.704103176322065 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 0.6976726543939654 y[1] (numeric) 0.6976726543939654 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 0.6913353644234898 y[1] (numeric) 0.6913353644234896 absolute error 1.1102230246251565e-16 relative error 1.6059109395495493e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 0.6850909401426869 y[1] (numeric) 0.6850909401426869 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 0.6789390059971147 y[1] (numeric) 0.6789390059971149 absolute error 2.220446049250313e-16 relative error 3.27046469511541e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 0.6728791771833947 y[1] (numeric) 0.6728791771833948 absolute error 1.1102230246251565e-16 relative error 1.649958955889287e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 0.6669110596876916 y[1] (numeric) 0.6669110596876917 absolute error 1.1102230246251565e-16 relative error 1.6647242664487585e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 0.6610342503251146 y[1] (numeric) 0.6610342503251149 absolute error 2.220446049250313e-16 relative error 3.359048412632533e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 0.6552483367800365 y[1] (numeric) 0.6552483367800366 absolute error 1.1102230246251565e-16 relative error 1.694354586355635e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 0.6495528976473229 y[1] (numeric) 0.649552897647323 absolute error 1.1102230246251565e-16 relative error 1.7092111029700248e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 0.6439475024744746 y[1] (numeric) 0.6439475024744747 absolute error 1.1102230246251565e-16 relative error 1.7240893401386623e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 0.6384317118046708 y[1] (numeric) 0.6384317118046711 absolute error 2.220446049250313e-16 relative error 3.4779695434829246e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 0.6330050772207155 y[1] (numeric) 0.6330050772207159 absolute error 3.3306690738754696e-16 relative error 5.2616782925330875e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 0.6276671413898783 y[1] (numeric) 0.6276671413898786 absolute error 2.220446049250313e-16 relative error 3.537617158568243e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 0.6224174381096271 y[1] (numeric) 0.6224174381096274 absolute error 2.220446049250313e-16 relative error 3.5674547551144017e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 0.6172554923542485 y[1] (numeric) 0.6172554923542488 absolute error 3.3306690738754696e-16 relative error 5.395932665049449e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 0.6121808203223499 y[1] (numeric) 0.6121808203223502 absolute error 3.3306690738754696e-16 relative error 5.4406622411359977e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 0.6071929294852388 y[1] (numeric) 0.6071929294852391 absolute error 2.220446049250313e-16 relative error 3.6569036650883686e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 0.6022913186361757 y[1] (numeric) 0.6022913186361759 absolute error 2.220446049250313e-16 relative error 3.686664543460922e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 0.5974754779404939 y[1] (numeric) 0.5974754779404943 absolute error 3.3306690738754696e-16 relative error 5.574570332754628e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 0.5927448889865837 y[1] (numeric) 0.5927448889865838 absolute error 1.1102230246251565e-16 relative error 1.87301998760935e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 0.588099024837731 y[1] (numeric) 0.5880990248377312 absolute error 2.220446049250313e-16 relative error 3.775632938454508e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 0.583537350084813 y[1] (numeric) 0.583537350084813 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 0.5790593208998364 y[1] (numeric) 0.5790593208998365 absolute error 1.1102230246251565e-16 relative error 1.9172872010762416e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 0.5746643850903214 y[1] (numeric) 0.5746643850903217 absolute error 3.3306690738754696e-16 relative error 5.795850865809233e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 0.5703519821545203 y[1] (numeric) 0.5703519821545204 absolute error 1.1102230246251565e-16 relative error 1.9465576685317345e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 0.5661215433374659 y[1] (numeric) 0.566121543337466 absolute error 1.1102230246251565e-16 relative error 1.961103649368367e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 0.561972491687848 y[1] (numeric) 0.561972491687848 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 14.582294584819396 Order of pole (ratio test) Not computed 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) 0.5579042421157073 y[1] (numeric) 0.5579042421157073 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 14.890876444419295 Order of pole (ratio test) Not computed 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) 0.5539162014509439 y[1] (numeric) 0.5539162014509441 absolute error 2.220446049250313e-16 relative error 4.008631708973331e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.20408798267353 Order of pole (ratio test) Not computed 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) 0.5500077685026349 y[1] (numeric) 0.5500077685026349 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 15.522098256873289 Order of pole (ratio test) Not computed 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) 0.5461783341191505 y[1] (numeric) 0.5461783341191507 absolute error 2.220446049250313e-16 relative error 4.0654231604249535e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.845083494565142 Order of pole (ratio test) Not computed 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) 0.5424272812490719 y[1] (numeric) 0.5424272812490721 absolute error 2.220446049250313e-16 relative error 4.0935368223685045e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.173227502851304 Order of pole (ratio test) Not computed 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) 0.5387539850028932 y[1] (numeric) 0.5387539850028935 absolute error 3.3306690738754696e-16 relative error 6.182170650408429e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.50672210538052 Order of pole (ratio test) Not computed 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) 0.5351578127155113 y[1] (numeric) 0.5351578127155117 absolute error 3.3306690738754696e-16 relative error 6.223713818125731e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.84576760926161 Order of pole (ratio test) Not computed 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) 0.5316381240094915 y[1] (numeric) 0.531638124009492 absolute error 4.440892098500626e-16 relative error 8.353223551780762e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.190573304338834 Order of pole (ratio test) Not computed 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) 0.5281942708591049 y[1] (numeric) 0.5281942708591052 absolute error 3.3306690738754696e-16 relative error 6.305765241372565e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.541357997496704 Order of pole (ratio test) Not computed 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) 0.5248255976551296 y[1] (numeric) 0.5248255976551298 absolute error 2.220446049250313e-16 relative error 4.2308265053592144e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.89835058491631 Order of pole (ratio test) Not computed 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) 0.5215314412704118 y[1] (numeric) 0.5215314412704123 absolute error 4.440892098500626e-16 relative error 8.515099468754833e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.261790665486036 Order of pole (ratio test) Not computed 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) 0.5183111311261789 y[1] (numeric) 0.5183111311261793 absolute error 4.440892098500626e-16 relative error 8.56800448960361e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.631929198881462 Order of pole (ratio test) Not computed 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) 0.5151639892590946 y[1] (numeric) 0.515163989259095 absolute error 4.440892098500626e-16 relative error 8.620346513131649e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.00902921217608 Order of pole (ratio test) Not computed 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) 0.5120893303890565 y[1] (numeric) 0.5120893303890568 absolute error 3.3306690738754696e-16 relative error 6.504078246162669e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.393366559229815 Order of pole (ratio test) Not computed 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) 0.5090864619877223 y[1] (numeric) 0.5090864619877228 absolute error 4.440892098500626e-16 relative error 8.723257108745758e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.206245559681474 Order of pole (ratio test) Not computed 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) 0.5061546843477637 y[1] (numeric) 0.506154684347764 absolute error 3.3306690738754696e-16 relative error 6.580338337019255e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.825930021943517 Order of pole (ratio test) Not computed 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) 0.5032932906528346 y[1] (numeric) 0.5032932906528347 absolute error 1.1102230246251565e-16 relative error 2.205916600209508e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.453077412358997 Order of pole (ratio test) Not computed 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) 0.5005015670482528 y[1] (numeric) 0.5005015670482531 absolute error 3.3306690738754696e-16 relative error 6.654662628767281e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.087397774889016 Order of pole (ratio test) Not computed 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) 0.49777879271238634 y[1] (numeric) 0.49777879271238656 absolute error 2.220446049250313e-16 relative error 4.460708414577384e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.728615019669064 Order of pole (ratio test) Not computed 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) 0.4951242399287329 y[1] (numeric) 0.495124239928733 absolute error 1.1102230246251565e-16 relative error 2.2423119998830186e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.37646608256649 Order of pole (ratio test) Not computed 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) 0.4925371741586916 y[1] (numeric) 0.49253717415869197 absolute error 3.885780586188048e-16 relative error 7.889314330081571e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.03070014462918 Order of pole (ratio test) Not computed 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) 0.4900168541150177 y[1] (numeric) 0.49001685411501794 absolute error 2.220446049250313e-16 relative error 4.531366687908097e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.69107790648819 Order of pole (ratio test) Not computed 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) 0.4875625318359479 y[1] (numeric) 0.4875625318359483 absolute error 3.885780586188048e-16 relative error 7.969809680731398e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.357370913238025 Order of pole (ratio test) Not computed 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) 0.4851734527599988 y[1] (numeric) 0.48517345275999896 absolute error 1.6653345369377348e-16 relative error 3.4324518941920084e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.029360925728202 Order of pole (ratio test) Not computed 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) 0.4828488558014198 y[1] (numeric) 0.48284885580141995 absolute error 1.6653345369377348e-16 relative error 3.4489768732570704e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.70683933457039 Order of pole (ratio test) Not computed 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) 0.4805879734263029 y[1] (numeric) 0.48058797342630327 absolute error 3.885780586188048e-16 relative error 8.085471965693964e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.38960661349667 Order of pole (ratio test) Not computed 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) 0.47839003172933536 y[1] (numeric) 0.4783900317293357 absolute error 3.3306690738754696e-16 relative error 6.962245977064805e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.077471809004006 Order of pole (ratio test) Not computed 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) 0.4762542505111883 y[1] (numeric) 0.47625425051118864 absolute error 3.3306690738754696e-16 relative error 6.993468447369216e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.77025206348853 Order of pole (ratio test) Not computed 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) 0.47417984335653707 y[1] (numeric) 0.47417984335653734 absolute error 2.7755575615628914e-16 relative error 5.853385799606717e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.467772169317152 Order of pole (ratio test) Not computed 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) 0.4721660177127015 y[1] (numeric) 0.47216601771270195 absolute error 4.440892098500626e-16 relative error 9.405361529433006e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.169864151502582 Order of pole (ratio test) Not computed 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) 0.47021197496890166 y[1] (numeric) 0.47021197496890194 absolute error 2.7755575615628914e-16 relative error 5.902779404430221e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.876366876846797 Order of pole (ratio test) Not computed 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) 0.46831691053611635 y[1] (numeric) 0.4683169105361167 absolute error 3.3306690738754696e-16 relative error 7.111998304871398e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 0.46648001392754324 y[1] (numeric) 0.4664800139275435 absolute error 2.7755575615628914e-16 relative error 5.950003169897884e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 0.46470046883964555 y[1] (numeric) 0.4647004688396459 absolute error 3.3306690738754696e-16 relative error 7.167346058832545e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 0.4629774532337826 y[1] (numeric) 0.4629774532337829 absolute error 3.3306690738754696e-16 relative error 7.194020034046091e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 0.46131013941841237 y[1] (numeric) 0.46131013941841265 absolute error 2.7755575615628914e-16 relative error 6.016684491396874e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) 0.45969769413186 y[1] (numeric) 0.4596976941318605 absolute error 4.996003610813204e-16 relative error 1.0868019732507397e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y[1] (analytic) 0.4581392786256444 y[1] (numeric) 0.45813927862564474 absolute error 3.3306690738754696e-16 relative error 7.269992400274049e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) 0.45663404874835023 y[1] (numeric) 0.4566340487483506 absolute error 3.885780586188048e-16 relative error 8.509616391592146e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) 0.4551811550300444 y[1] (numeric) 0.45518115503004486 absolute error 4.440892098500626e-16 relative error 9.756318005317033e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) 0.45377974276722166 y[1] (numeric) 0.4537797427672218 absolute error 1.6653345369377348e-16 relative error 3.66991820036359e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) 0.45242895210827294 y[1] (numeric) 0.4524289521082732 absolute error 2.7755575615628914e-16 relative error 6.134792100790798e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) 0.4511279181394723 y[1] (numeric) 0.4511279181394727 absolute error 3.885780586188048e-16 relative error 8.613478416972426e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) 0.4498757709714658 y[1] (numeric) 0.44987577097146614 absolute error 3.3306690738754696e-16 relative error 7.403530682888728e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) 0.4486716358262599 y[1] (numeric) 0.44867163582626024 absolute error 3.3306690738754696e-16 relative error 7.423400116973768e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) 0.4475146331246991 y[1] (numeric) 0.4475146331246994 absolute error 3.3306690738754696e-16 relative error 7.442592548582395e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) 0.44640387857442243 y[1] (numeric) 0.44640387857442293 absolute error 4.996003610813204e-16 relative error 1.1191667121638355e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) 0.44533848325829295 y[1] (numeric) 0.44533848325829345 absolute error 4.996003610813204e-16 relative error 1.1218441250035785e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) 0.44431755372328774 y[1] (numeric) 0.44431755372328813 absolute error 3.885780586188048e-16 relative error 8.74550319613984e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 0.44334019206984254 y[1] (numeric) 0.443340192069843 absolute error 4.440892098500626e-16 relative error 1.0016894876521867e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) 0.4424054960416417 y[1] (numeric) 0.4424054960416422 absolute error 4.996003610813204e-16 relative error 1.1292815427281564e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) 0.44151255911584264 y[1] (numeric) 0.441512559115843 absolute error 3.3306690738754696e-16 relative error 7.543769718681048e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 0.4406604705937267 y[1] (numeric) 0.4406604705937271 absolute error 3.885780586188048e-16 relative error 8.818082958411306e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) 0.43984831569176963 y[1] (numeric) 0.43984831569177 absolute error 3.885780586188048e-16 relative error 8.834365047133811e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) 0.43907517563311815 y[1] (numeric) 0.4390751756331185 absolute error 3.3306690738754696e-16 relative error 7.585646510470238e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) 0.43834012773946696 y[1] (numeric) 0.43834012773946734 absolute error 3.885780586188048e-16 relative error 8.864761267071609e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) 0.4376422455233264 y[1] (numeric) 0.4376422455233267 absolute error 2.7755575615628914e-16 relative error 6.342069555565685e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) 0.43698059878066964 y[1] (numeric) 0.4369805987806699 absolute error 2.7755575615628914e-16 relative error 6.351672292334439e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 0.43635425368395286 y[1] (numeric) 0.43635425368395325 absolute error 3.885780586188048e-16 relative error 8.905105320693128e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) 0.4357622728754973 y[1] (numeric) 0.4357622728754977 absolute error 3.885780586188048e-16 relative error 8.917202860510745e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 0.43520371556122384 y[1] (numeric) 0.43520371556122406 absolute error 2.220446049250313e-16 relative error 5.1020843109919266e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) 0.4346776376047312 y[1] (numeric) 0.43467763760473166 absolute error 4.440892098500626e-16 relative error 1.0216518436448523e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y[1] (analytic) 0.43418309162171065 y[1] (numeric) 0.434183091621711 absolute error 3.3306690738754696e-16 relative error 7.671116490131245e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) 0.4337191270746812 y[1] (numeric) 0.4337191270746816 absolute error 3.885780586188048e-16 relative error 8.959209644261235e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 0.43328479036804457 y[1] (numeric) 0.4332847903680448 absolute error 2.220446049250313e-16 relative error 5.124680345608721e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) 0.4328791249434423 y[1] (numeric) 0.43287912494344266 absolute error 3.885780586188048e-16 relative error 8.97659499449354e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) 0.43250117137541255 y[1] (numeric) 0.4325011713754129 absolute error 3.3306690738754696e-16 relative error 7.700948099824768e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y[1] (analytic) 0.43214996746733036 y[1] (numeric) 0.43214996746733064 absolute error 2.7755575615628914e-16 relative error 6.422672152052674e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y[1] (analytic) 0.43182454834762707 y[1] (numeric) 0.43182454834762735 absolute error 2.7755575615628914e-16 relative error 6.427512220376397e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) 0.4315239465662768 y[1] (numeric) 0.4315239465662771 absolute error 2.7755575615628914e-16 relative error 6.431989658160488e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y[1] (analytic) 0.4312471921915406 y[1] (numeric) 0.43124719219154084 absolute error 2.220446049250313e-16 relative error 5.148893927787223e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y[1] (analytic) 0.4309933129069583 y[1] (numeric) 0.43099331290695875 absolute error 4.440892098500626e-16 relative error 1.0303853831391844e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.360000000000001 y[1] (analytic) 0.43076133410858053 y[1] (numeric) 0.430761334108581 absolute error 4.440892098500626e-16 relative error 1.0309402787254869e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.370000000000001 y[1] (analytic) 0.4305502790024269 y[1] (numeric) 0.43055027900242737 absolute error 4.440892098500626e-16 relative error 1.0314456441161879e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y[1] (analytic) 0.4303591687021655 y[1] (numeric) 0.43035916870216595 absolute error 4.440892098500626e-16 relative error 1.0319036798711709e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.390000000000001 y[1] (analytic) 0.43018702232700057 y[1] (numeric) 0.43018702232700085 absolute error 2.7755575615628914e-16 relative error 6.45197883132116e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y[1] (analytic) 0.43003285709975914 y[1] (numeric) 0.43003285709975936 absolute error 2.220446049250313e-16 relative error 5.163433473957115e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) 0.4298956884451688 y[1] (numeric) 0.4298956884451691 absolute error 3.3306690738754696e-16 relative error 7.747621489114518e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y[1] (analytic) 0.42977453008831423 y[1] (numeric) 0.42977453008831457 absolute error 3.3306690738754696e-16 relative error 7.749805632248732e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y[1] (analytic) 0.4296683941532633 y[1] (numeric) 0.4296683941532637 absolute error 3.885780586188048e-16 relative error 9.04367330495802e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y[1] (analytic) 0.4295762912618546 y[1] (numeric) 0.42957629126185487 absolute error 2.7755575615628914e-16 relative error 6.461151646451106e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y[1] (analytic) 0.42949723063263345 y[1] (numeric) 0.4294972306326338 absolute error 3.3306690738754696e-16 relative error 7.754809196253764e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y[1] (analytic) 0.4294302201799305 y[1] (numeric) 0.4294302201799308 absolute error 3.3306690738754696e-16 relative error 7.75601929570752e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y[1] (analytic) 0.4293742666130682 y[1] (numeric) 0.42937426661306866 absolute error 4.440892098500626e-16 relative error 1.0342706686943929e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.480000000000001 y[1] (analytic) 0.42932837553569025 y[1] (numeric) 0.4293283755356907 absolute error 4.440892098500626e-16 relative error 1.0343812222892435e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490000000000001 y[1] (analytic) 0.4292915515451994 y[1] (numeric) 0.42929155154519977 absolute error 3.885780586188048e-16 relative error 9.051612062248843e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.500000000000001 y[1] (analytic) 0.4292627983322972 y[1] (numeric) 0.42926279833229747 absolute error 2.7755575615628914e-16 relative error 6.465870260236948e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100000000000011 y[1] (analytic) 0.429241118780614 y[1] (numeric) 0.4292411187806145 absolute error 4.996003610813204e-16 relative error 1.1639154293991745e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5200000000000011 y[1] (analytic) 0.4292255150664208 y[1] (numeric) 0.4292255150664212 absolute error 3.885780586188048e-16 relative error 9.053004655575379e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5300000000000011 y[1] (analytic) 0.4292149887584089 y[1] (numeric) 0.42921498875840935 absolute error 4.440892098500626e-16 relative error 1.0346544773160891e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5400000000000011 y[1] (analytic) 0.4292085409175339 y[1] (numeric) 0.42920854091753424 absolute error 3.3306690738754696e-16 relative error 7.760025154101975e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5500000000000012 y[1] (analytic) 0.42920517219690746 y[1] (numeric) 0.4292051721969079 absolute error 4.440892098500626e-16 relative error 1.0346781414048915e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5600000000000012 y[1] (analytic) 0.4292038829417326 y[1] (numeric) 0.42920388294173295 absolute error 3.3306690738754696e-16 relative error 7.760109370510124e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5700000000000012 y[1] (analytic) 0.4292036732892668 y[1] (numeric) 0.42920367328926706 absolute error 2.7755575615628914e-16 relative error 6.466760967565793e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5800000000000012 y[1] (analytic) 0.42920354326880816 y[1] (numeric) 0.42920354326880866 absolute error 4.996003610813204e-16 relative error 1.1640173267824658e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.008874468381578252 Order of pole (three term test) -0.8949050896709201 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 0.42920249290169243 y[1] (numeric) 0.429202492901693 absolute error 5.551115123125783e-16 relative error 1.2933557504749279e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01851326600938967 Order of pole (three term test) -0.901772189378976 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 0.42919952230128877 y[1] (numeric) 0.42919952230128916 absolute error 3.885780586188048e-16 relative error 9.05355291486162e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.028144643333266314 Order of pole (three term test) -0.9134710156510109 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 0.4291936317729874 y[1] (numeric) 0.429193631772988 absolute error 6.106226635438361e-16 relative error 1.422720698397528e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03776474002241432 Order of pole (three term test) -0.9299968698555368 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 0.42918382191417037 y[1] (numeric) 0.42918382191417087 absolute error 4.996003610813204e-16 relative error 1.164070814349643e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04736970029524609 Order of pole (three term test) -0.9513431147005369 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 0.42916909371414835 y[1] (numeric) 0.4291690937141487 absolute error 3.3306690738754696e-16 relative error 7.760738419094758e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05695567447425488 Order of pole (three term test) -0.9775011769318743 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) 0.4291484486540622 y[1] (numeric) 0.4291484486540625 absolute error 2.7755575615628914e-16 relative error 6.467593137684336e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06651882053836847 Order of pole (three term test) -1.0084605508186815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) 0.42912088880673416 y[1] (numeric) 0.4291208888067344 absolute error 2.220446049250313e-16 relative error 5.174406809756467e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07605530567213967 Order of pole (three term test) -1.0442088024242429 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y[1] (analytic) 0.4290854169364591 y[1] (numeric) 0.42908541693645946 absolute error 3.885780586188048e-16 relative error 9.055960498334699e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08556130781113587 Order of pole (three term test) -1.0847315746605615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y[1] (analytic) 0.4290410365987283 y[1] (numeric) 0.4290410365987285 absolute error 2.220446049250313e-16 relative error 5.175369859380241e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09503301718288724 Order of pole (three term test) -1.1300125931244465 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y[1] (analytic) 0.42898675223987115 y[1] (numeric) 0.4289867522398716 absolute error 4.440892098500626e-16 relative error 1.035204951041814e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10446663784276024 Order of pole (three term test) -1.1800336727126426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y[1] (analytic) 0.4289215692966124 y[1] (numeric) 0.4289215692966127 absolute error 2.7755575615628914e-16 relative error 6.471014190576898e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11385838920412135 Order of pole (three term test) -1.2347747250131897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y[1] (analytic) 0.4288444942955245 y[1] (numeric) 0.42884449429552507 absolute error 5.551115123125783e-16 relative error 1.2944354415100428e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12320450756215928 Order of pole (three term test) -1.2942137664698512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y[1] (analytic) 0.4287545349523776 y[1] (numeric) 0.428754534952378 absolute error 3.885780586188048e-16 relative error 9.062949238821806e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13250124761074028 Order of pole (three term test) -1.3583269273161624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y[1] (analytic) 0.42865070027136354 y[1] (numeric) 0.42865070027136404 absolute error 4.996003610813204e-16 relative error 1.165518593029339e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14174488395166784 Order of pole (three term test) -1.4270884612752712 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y[1] (analytic) 0.4285320006441977 y[1] (numeric) 0.42853200064419816 absolute error 4.440892098500626e-16 relative error 1.0363034946806266e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15093171259572805 Order of pole (three term test) -1.5004707560214683 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y[1] (analytic) 0.4283974479490771 y[1] (numeric) 0.4283974479490774 absolute error 3.3306690738754696e-16 relative error 7.774717356092609e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16005805245490146 Order of pole (three term test) -1.5784443443989504 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y[1] (analytic) 0.42824605564949225 y[1] (numeric) 0.4282460556494925 absolute error 2.220446049250313e-16 relative error 5.1849772343675424e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16912024682512733 Order of pole (three term test) -1.660977916393046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y[1] (analytic) 0.4280768388928802 y[1] (numeric) 0.4280768388928805 absolute error 3.3306690738754696e-16 relative error 7.780540247142218e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17811466485901056 Order of pole (three term test) -1.748038331848822 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y[1] (analytic) 0.4278888146091089 y[1] (numeric) 0.4278888146091094 absolute error 4.996003610813204e-16 relative error 1.167593879586973e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1870377030278668 Order of pole (three term test) -1.8395906339316739 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y[1] (analytic) 0.42768100160878375 y[1] (numeric) 0.42768100160878414 absolute error 3.885780586188048e-16 relative error 9.085698386346656e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1958857865725053 Order of pole (three term test) -1.9355980633241854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y[1] (analytic) 0.4274524206813646 y[1] (numeric) 0.42745242068136496 absolute error 3.885780586188048e-16 relative error 9.090556979403847e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20465537094215178 Order of pole (three term test) -2.0360220731532146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y[1] (analytic) 0.4272020946930868 y[1] (numeric) 0.4272020946930874 absolute error 6.106226635438361e-16 relative error 1.4293531589130515e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21334294322092445 Order of pole (three term test) -2.1408223446409056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y[1] (analytic) 0.4269290486846744 y[1] (numeric) 0.42692904868467496 absolute error 5.551115123125783e-16 relative error 1.3002430123291474e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22194502354127854 Order of pole (three term test) -2.249956803472989 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y[1] (analytic) 0.42663230996883406 y[1] (numeric) 0.4266323099688343 absolute error 2.220446049250313e-16 relative error 5.204589519749498e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23045816648383566 Order of pole (three term test) -2.3633816368773912 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y[1] (analytic) 0.4263109082275225 y[1] (numeric) 0.42631090822752293 absolute error 4.440892098500626e-16 relative error 1.0417026664798637e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2388789624630327 Order of pole (three term test) -2.481051311405986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y[1] (analytic) 0.4259638756089801 y[1] (numeric) 0.4259638756089806 absolute error 4.996003610813204e-16 relative error 1.1728702589323232e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24720403909801902 Order of pole (three term test) -2.602918591411918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 0.42559024682451296 y[1] (numeric) 0.42559024682451313 absolute error 1.6653345369377348e-16 relative error 3.9129997676483776e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2554300625682415 Order of pole (three term test) -2.7289345582146747 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y[1] (analytic) 0.4251890592450207 y[1] (numeric) 0.42518905924502104 absolute error 3.3306690738754696e-16 relative error 7.833383765305515e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2635537389531722 Order of pole (three term test) -2.859048629944887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y[1] (analytic) 0.42475935299726064 y[1] (numeric) 0.4247593529972612 absolute error 5.551115123125783e-16 relative error 1.3068847298958907e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2715718155556203 Order of pole (three term test) -2.993208582060332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y[1] (analytic) 0.4243001710598333 y[1] (numeric) 0.4243001710598336 absolute error 2.7755575615628914e-16 relative error 6.541495268856471e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2794810822081011 Order of pole (three term test) -3.131360568524605 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y[1] (analytic) 0.42381055935888234 y[1] (numeric) 0.4238105593588826 absolute error 2.7755575615628914e-16 relative error 6.5490524015296e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28727837256172556 Order of pole (three term test) -3.2734491436394726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y[1] (analytic) 0.4232895668635035 y[1] (numeric) 0.4232895668635037 absolute error 2.220446049250313e-16 relative error 5.2456904754430945e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29496056535708703 Order of pole (three term test) -3.419417284521679 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y[1] (analytic) 0.422736245680845 y[1] (numeric) 0.4227362456808455 absolute error 4.996003610813204e-16 relative error 1.1818252307101812e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30252458567663315 Order of pole (three term test) -3.569206414214798 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y[1] (analytic) 0.422149651150898 y[1] (numeric) 0.4221496511508985 absolute error 4.996003610813204e-16 relative error 1.1834674261112622e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30996740617800966 Order of pole (three term test) -3.722756425426299 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y[1] (analytic) 0.42152884194095996 y[1] (numeric) 0.42152884194096013 absolute error 1.6653345369377348e-16 relative error 3.9507012836169924e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31728604830788615 Order of pole (three term test) -3.8800057048799785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y[1] (analytic) 0.4208728801397672 y[1] (numeric) 0.4208728801397674 absolute error 2.220446049250313e-16 relative error 5.2758116619748166e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3244775834957641 Order of pole (three term test) -4.040891158273372 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y[1] (analytic) 0.4201808313512867 y[1] (numeric) 0.42018083135128714 absolute error 4.440892098500626e-16 relative error 1.056900212277384e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.331539134327293 Order of pole (three term test) -4.205348235829766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y[1] (analytic) 0.4194517647881544 y[1] (numeric) 0.4194517647881547 absolute error 3.3306690738754696e-16 relative error 7.940529408804934e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3384678756966183 Order of pole (three term test) -4.373310958434025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 0.41868475336475175 y[1] (numeric) 0.41868475336475225 absolute error 4.996003610813204e-16 relative error 1.1932614146235134e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34526103593730045 Order of pole (three term test) -4.544711944341315 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 0.41787887378991573 y[1] (numeric) 0.41787887378991617 absolute error 4.440892098500626e-16 relative error 1.0627223286557527e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3519158979313488 Order of pole (three term test) -4.719482436447492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 0.41703320665926524 y[1] (numeric) 0.41703320665926574 absolute error 4.996003610813204e-16 relative error 1.1979870022425247e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35842980019592957 Order of pole (three term test) -4.89755233010979 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y[1] (analytic) 0.41614683654714213 y[1] (numeric) 0.4161468365471426 absolute error 4.440892098500626e-16 relative error 1.0671454660926038e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3648001379473069 Order of pole (three term test) -5.078850201506021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y[1] (analytic) 0.41521885209815235 y[1] (numeric) 0.41521885209815257 absolute error 2.220446049250313e-16 relative error 5.3476522995767746e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3710243641416041 Order of pole (three term test) -5.263303336520731 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y[1] (analytic) 0.4142483461183004 y[1] (numeric) 0.41424834611830064 absolute error 2.220446049250313e-16 relative error 5.360180843344155e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3770999904919557 Order of pole (three term test) -5.4508377601458635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y[1] (analytic) 0.41323441566570907 y[1] (numeric) 0.4132344156657093 absolute error 2.220446049250313e-16 relative error 5.3733328229044927e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38302458846165965 Order of pole (three term test) -5.64137826638401 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y[1] (analytic) 0.4121761621409119 y[1] (numeric) 0.41217616214091213 absolute error 2.220446049250313e-16 relative error 5.387128740577682e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3887957902329273 Order of pole (three term test) -5.834848448641552 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y[1] (analytic) 0.41107269137671265 y[1] (numeric) 0.4110726913767131 absolute error 4.440892098500626e-16 relative error 1.0803179563273231e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3944112896508517 Order of pole (three term test) -6.031170730599169 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.06 y[1] (analytic) 0.40992311372760204 y[1] (numeric) 0.4099231137276024 absolute error 3.3306690738754696e-16 relative error 8.125106787924948e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39986884314222026 Order of pole (three term test) -6.230266397546771 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.07 y[1] (analytic) 0.40872654415872 y[1] (numeric) 0.4087265441587202 absolute error 1.6653345369377348e-16 relative error 4.074446743764796e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4051662706088129 Order of pole (three term test) -6.43205562816998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y[1] (analytic) 0.40748210233435955 y[1] (numeric) 0.40748210233435955 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41030145629482817 Order of pole (three term test) -6.63645752677471 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y[1] (analytic) 0.406188912705999 y[1] (numeric) 0.4061889127059992 absolute error 2.220446049250313e-16 relative error 5.4665353479440735e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41527234962810694 Order of pole (three term test) -6.8433901559367865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y[1] (analytic) 0.4048461045998577 y[1] (numeric) 0.40484610459985765 absolute error 5.551115123125783e-17 relative error 1.3711667372006459e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4200769660348201 Order of pole (three term test) -7.052770569562899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y[1] (analytic) 0.4034528123039598 y[1] (numeric) 0.4034528123039598 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.424713387727301 Order of pole (three term test) -7.2645148463491385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y[1] (analytic) 0.40200817515470755 y[1] (numeric) 0.4020081751547075 absolute error 5.551115123125783e-17 relative error 1.380846327562744e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4291797644647234 Order of pole (three term test) -7.478538123623476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y[1] (analytic) 0.400511337622945 y[1] (numeric) 0.40051133762294505 absolute error 5.551115123125783e-17 relative error 1.386006986986169e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.433474314286327 Order of pole (three term test) -7.694754631558116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y[1] (analytic) 0.3989614493995117 y[1] (numeric) 0.3989614493995116 absolute error 1.1102230246251565e-16 relative error 2.7827827132074664e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.437595324216908 Order of pole (three term test) -7.9130777277375355 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y[1] (analytic) 0.3973576654802713 y[1] (numeric) 0.3973576654802713 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4415411509443062 Order of pole (three term test) -8.133419932068065 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y[1] (analytic) 0.395699146250613 y[1] (numeric) 0.3956991462506128 absolute error 1.6653345369377348e-16 relative error 4.2085876421957405e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4453102214686289 Order of pole (three term test) -8.35569296201466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y[1] (analytic) 0.3939850575694104 y[1] (numeric) 0.3939850575694103 absolute error 5.551115123125783e-17 relative error 1.4089659027608716e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4489010337229652 Order of pole (three term test) -8.579807768150248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y[1] (analytic) 0.39221457085243694 y[1] (numeric) 0.3922145708524369 absolute error 5.551115123125783e-17 relative error 1.4153260831337857e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4523121571653566 Order of pole (three term test) -8.80567457000324 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y[1] (analytic) 0.3903868631552223 y[1] (numeric) 0.3903868631552221 absolute error 2.220446049250313e-16 relative error 5.687809347128154e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4555422333417981 Order of pole (three term test) -9.0332028921882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y[1] (analytic) 0.3885011172553461 y[1] (numeric) 0.3885011172553459 absolute error 1.6653345369377348e-16 relative error 4.28656305727733e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.830019744091002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.45858997642006555 Order of pole (three term test) -9.26230160080532 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y[1] (analytic) 0.38655652173416044 y[1] (numeric) 0.38655652173416016 absolute error 2.7755575615628914e-16 relative error 7.180211445175605e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.122828980062188 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4614541736941656 Order of pole (three term test) -9.492878940093359 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y[1] (analytic) 0.3845522710579301 y[1] (numeric) 0.3845522710579298 absolute error 3.3306690738754696e-16 relative error 8.661160847425415e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.420023903190474 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46413368605922356 Order of pole (three term test) -9.724842569321325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y[1] (analytic) 0.3824875656583857 y[1] (numeric) 0.3824875656583855 absolute error 2.220446049250313e-16 relative error 5.8052764288643e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.721764591441373 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4666274484566381 Order of pole (three term test) -9.958099599903804 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y[1] (analytic) 0.3803616120126807 y[1] (numeric) 0.38036161201267993 absolute error 7.771561172376096e-16 relative error 2.043203343064232e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.028217904630887 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46893447028933793 Order of pole (three term test) -10.192556632724665 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y[1] (analytic) 0.3781736227227399 y[1] (numeric) 0.3781736227227394 absolute error 4.996003610813204e-16 relative error 1.3210872759563276e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.339557871251518 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47105383580699434 Order of pole (three term test) -10.428119795654192 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y[1] (analytic) 0.3759228165940036 y[1] (numeric) 0.3759228165940029 absolute error 7.216449660063518e-16 relative error 1.919662585380466e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.65596610144359 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4729847044610516 Order of pole (three term test) -10.664694781244089 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y[1] (analytic) 0.37360841871354156 y[1] (numeric) 0.3736084187135409 absolute error 6.661338147750939e-16 relative error 1.7829732452732593e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.977632228217344 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.474726311229453 Order of pole (three term test) -10.902186884585332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y[1] (analytic) 0.3712296605275469 y[1] (numeric) 0.3712296605275461 absolute error 8.326672684688674e-16 relative error 2.242997683120419e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.30475437922631 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4762779669109482 Order of pole (three term test) -11.140501041313287 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y[1] (analytic) 0.36878577991818906 y[1] (numeric) 0.3687857799181881 absolute error 9.43689570931383e-16 relative error 2.558909866700202e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.637539681608544 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4776390583888867 Order of pole (three term test) -11.37954186574483 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y[1] (analytic) 0.3662760212798255 y[1] (numeric) 0.36627602127982467 absolute error 8.326672684688674e-16 relative error 2.2733327329465854e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.97620480265129 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47880904886440695 Order of pole (three term test) -11.619213689131941 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y[1] (analytic) 0.3636996355945623 y[1] (numeric) 0.36369963559456137 absolute error 9.43689570931383e-16 relative error 2.5946948486452983e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.32097652929946 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47978747805895033 Order of pole (three term test) -11.859420598016396 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y[1] (analytic) 0.3610558805071542 y[1] (numeric) 0.36105588050715315 absolute error 1.0547118733938987e-15 relative error 2.9211873572379054e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.67209238982252 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4805739623860377 Order of pole (three term test) -12.100066472670058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y[1] (analytic) 0.35834402039923985 y[1] (numeric) 0.35834402039923885 absolute error 9.992007221626409e-16 relative error 2.788383969821533e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.02980132128031 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4811681950922577 Order of pole (three term test) -12.3410550256052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y[1] (analytic) 0.3555633264629039 y[1] (numeric) 0.35556332646290273 absolute error 1.1657341758564144e-15 relative error 3.2785557145417136e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.39436438679251 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48156994636743294 Order of pole (three term test) -12.582289840139438 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y[1] (analytic) 0.35271307677355557 y[1] (numeric) 0.3527130767735545 absolute error 1.0547118733938987e-15 relative error 2.9902828753668005e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.766055547019743 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4817790634239389 Order of pole (three term test) -12.823674408999718 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y[1] (analytic) 0.3497925563621225 y[1] (numeric) 0.3497925563621212 absolute error 1.27675647831893e-15 relative error 3.650039016259594e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.145162490716583 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48179547054516353 Order of pole (three term test) -13.065112172949945 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y[1] (analytic) 0.346801057286545 y[1] (numeric) 0.34680105728654353 absolute error 1.4432899320127035e-15 relative error 4.161722986963626e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.45526533957687 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48161916910310965 Order of pole (three term test) -13.306506559426595 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y[1] (analytic) 0.34373787870257067 y[1] (numeric) 0.34373787870256944 absolute error 1.2212453270876722e-15 relative error 3.5528389588521045e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.069748975804067 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4812502375451523 Order of pole (three term test) -13.547761021167009 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y[1] (analytic) 0.3406023269338392 y[1] (numeric) 0.34060232693383796 absolute error 1.2212453270876722e-15 relative error 3.58554604744346e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.691515117292617 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4806888313499766 Order of pole (three term test) -13.788779074814867 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y[1] (analytic) 0.33739371554124764 y[1] (numeric) 0.33739371554124636 absolute error 1.27675647831893e-15 relative error 3.7841738583386324e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.320285793468468 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4799351829527357 Order of pole (three term test) -14.02946433948729 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y[1] (analytic) 0.3341113653915948 y[1] (numeric) 0.33411136539159336 absolute error 1.4432899320127035e-15 relative error 4.3197869977308236e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.9557959866648 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4789896016394763 Order of pole (three term test) -14.26972057528845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y[1] (analytic) 0.33075460472549345 y[1] (numeric) 0.33075460472549195 absolute error 1.4988010832439613e-15 relative error 4.531459462183079e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.59779286390787 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47785247341089676 Order of pole (three term test) -14.509451721754068 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y[1] (analytic) 0.3273227692245464 y[1] (numeric) 0.32732276922454473 absolute error 1.6653345369377348e-15 relative error 5.08774424976009e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.24603506219555 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47652426081551097 Order of pole (three term test) -14.748561936211733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y[1] (analytic) 0.3238152020777769 y[1] (numeric) 0.32381520207777525 absolute error 1.6653345369377348e-15 relative error 5.142854709266366e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.900292022956116 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47500550275230335 Order of pole (three term test) -14.986955632041594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y[1] (analytic) 0.32023125404731045 y[1] (numeric) 0.32023125404730857 absolute error 1.887379141862766e-15 relative error 5.893800551972131e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.560343371767242 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47329681424297804 Order of pole (three term test) -15.224537516822409 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y[1] (analytic) 0.3165702835332964 y[1] (numeric) 0.31657028353329436 absolute error 2.0539125955565396e-15 relative error 6.488014518079401e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.22597833976715 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4713988861739058 Order of pole (three term test) -15.461212630347855 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y[1] (analytic) 0.31283165663806844 y[1] (numeric) 0.31283165663806656 absolute error 1.887379141862766e-15 relative error 6.033210200482924e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.896995223508176 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46931248500789957 Order of pole (three term test) -15.696886382497711 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y[1] (analytic) 0.3090147472295346 y[1] (numeric) 0.30901474722953254 absolute error 2.0539125955565396e-15 relative error 6.646649112933448e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.573200880287127 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46703845246594455 Order of pole (three term test) -15.931464590949561 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y[1] (analytic) 0.30511893700378767 y[1] (numeric) 0.3051189370037856 absolute error 2.0539125955565396e-15 relative error 6.731514653680911e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.254410256246732 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4645777051790352 Order of pole (three term test) -16.164853518715468 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y[1] (analytic) 0.3011436155469376 y[1] (numeric) 0.30114361554693525 absolute error 2.3314683517128287e-15 relative error 7.742048083863281e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.940445944773503 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4619312343102737 Order of pole (three term test) -16.39695991148932 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y[1] (analytic) 0.29708818039615004 y[1] (numeric) 0.29708818039614765 absolute error 2.3869795029440866e-15 relative error 8.034582526175179e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.63113777292888 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.45910010514739913 Order of pole (three term test) -16.627691034789873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y[1] (analytic) 0.2929520370998939 y[1] (numeric) 0.29295203709989165 absolute error 2.275957200481571e-15 relative error 7.76904377594579e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.456085456665929 Order of pole (three term test) -16.85695471088499 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y[1] (analytic) 0.2887345992773862 y[1] (numeric) 0.2887345992773835 absolute error 2.7200464103316335e-15 relative error 9.420576602662349e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4528885010631033 Order of pole (three term test) -17.084659355482593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y[1] (analytic) 0.2844352886772268 y[1] (numeric) 0.2844352886772241 absolute error 2.6645352591003757e-15 relative error 9.367808303575346e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44951052326283714 Order of pole (three term test) -17.31071401417381 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y[1] (analytic) 0.2800535352352269 y[1] (numeric) 0.28005353523522414 absolute error 2.7755575615628914e-15 relative error 9.91081065708241e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44595288039189196 Order of pole (three term test) -17.535028398614298 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y[1] (analytic) 0.2755887771314125 y[1] (numeric) 0.2755887771314096 absolute error 2.886579864025407e-15 relative error 1.0474228646288315e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44221700122749547 Order of pole (three term test) -17.757512922429243 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y[1] (analytic) 0.27104046084620625 y[1] (numeric) 0.2710404608462036 absolute error 2.6645352591003757e-15 relative error 9.830765675285234e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43830438561664137 Order of pole (three term test) -17.97807873682837 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y[1] (analytic) 0.26640804121578077 y[1] (numeric) 0.2664080412157777 absolute error 3.0531133177191805e-15 relative error 1.1460289651115561e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4342166038673214 Order of pole (three term test) -18.196637765916748 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y[1] (analytic) 0.2616909814865709 y[1] (numeric) 0.26169098148656794 absolute error 2.942091015256665e-15 relative error 1.124261523474642e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4299552961119409 Order of pole (three term test) -18.413102741687933 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y[1] (analytic) 0.25688875336895256 y[1] (numeric) 0.2568887533689496 absolute error 2.942091015256665e-15 relative error 1.1452782485308462e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.425522171643193 Order of pole (three term test) -18.627387238685515 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y[1] (analytic) 0.2520008370900695 y[1] (numeric) 0.252000837090066 absolute error 3.497202527569243e-15 relative error 1.3877741708926474e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42091900822266254 Order of pole (three term test) -18.839405708319887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y[1] (analytic) 0.2470267214458084 y[1] (numeric) 0.24702672144580498 absolute error 3.4139358007223564e-15 relative error 1.3820107317706883e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41614765136245496 Order of pole (three term test) -19.049073512826734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y[1] (analytic) 0.24196590385192263 y[1] (numeric) 0.24196590385191927 absolute error 3.3584246494910985e-15 relative error 1.387974336891025e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41121001358014636 Order of pole (three term test) -19.256306958854132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y[1] (analytic) 0.2368178903942879 y[1] (numeric) 0.2368178903942842 absolute error 3.7192471324942744e-15 relative error 1.5705093590277094e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4061080736273622 Order of pole (three term test) -19.46102333066521 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y[1] (analytic) 0.23158219587829265 y[1] (numeric) 0.23158219587828882 absolute error 3.83026943495679e-15 relative error 1.6539567821395808e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40084387569230595 Order of pole (three term test) -19.66314092294364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y[1] (analytic) 0.22625834387735866 y[1] (numeric) 0.22625834387735502 absolute error 3.635980405647388e-15 relative error 1.6070038979946918e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3954195285765659 Order of pole (three term test) -19.862579073189096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y[1] (analytic) 0.2208458667805835 y[1] (numeric) 0.22084586678057963 absolute error 3.858025010572419e-15 relative error 1.746931045988501e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38983720484653456 Order of pole (three term test) -20.059258193690496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y[1] (analytic) 0.21534430583949904 y[1] (numeric) 0.21534430583949526 absolute error 3.774758283725532e-15 relative error 1.752894402761197e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.384099139959796 Order of pole (three term test) -20.253099803064195 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y[1] (analytic) 0.20975321121394908 y[1] (numeric) 0.20975321121394472 absolute error 4.3576253716537394e-15 relative error 2.07750114834187e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.378207631366827 Order of pole (three term test) -20.444026557345563 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y[1] (analytic) 0.2040721420170688 y[1] (numeric) 0.20407214201706464 absolute error 4.163336342344337e-15 relative error 2.0401296821768605e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3721650375883891 Order of pole (three term test) -20.631962280621593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y[1] (analytic) 0.19830066635937804 y[1] (numeric) 0.1983006663593738 absolute error 4.246603069191224e-15 relative error 2.1414971251257186e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3659737772689778 Order of pole (three term test) -20.816831995192885 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y[1] (analytic) 0.19243836139196624 y[1] (numeric) 0.19243836139196172 absolute error 4.524158825347513e-15 relative error 2.350965157166623e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3596363282067169 Order of pole (three term test) -20.99856195125352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y[1] (analytic) 0.18648481334877776 y[1] (numeric) 0.1864848133487732 absolute error 4.551914400963142e-15 relative error 2.4409035348362727e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3531552263600885 Order of pole (three term test) -21.17707965607731 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y[1] (analytic) 0.18043961758798943 y[1] (numeric) 0.1804396175879846 absolute error 4.829470157119431e-15 relative error 2.6765021017429234e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3465330648319009 Order of pole (three term test) -21.352313902699322 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y[1] (analytic) 0.17430237863247244 y[1] (numeric) 0.17430237863246767 absolute error 4.773959005888173e-15 relative error 2.738894926932906e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33977249283090244 Order of pole (three term test) -21.5241947980817 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y[1] (analytic) 0.168072710209342 y[1] (numeric) 0.16807271020933692 absolute error 5.079270337660091e-15 relative error 3.022067253710394e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33287621461145683 Order of pole (three term test) -21.69265379075306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y[1] (analytic) 0.16175023528858157 y[1] (numeric) 0.16175023528857657 absolute error 4.9960036108132044e-15 relative error 3.0887148954681534e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3258469883917098 Order of pole (three term test) -21.85762369791079 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y[1] (analytic) 0.15533458612074869 y[1] (numeric) 0.15533458612074333 absolute error 5.35682609381638e-15 relative error 3.4485726763080787e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31868762525067273 Order of pole (three term test) -22.019038731976075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y[1] (analytic) 0.14882540427374646 y[1] (numeric) 0.14882540427374089 absolute error 5.578870698741412e-15 relative error 3.748601071144916e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31140098800467386 Order of pole (three term test) -22.17683452659138 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y[1] (analytic) 0.14222234066866868 y[1] (numeric) 0.142222340668663 absolute error 5.689893001203927e-15 relative error 4.000702684579991e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30398999006361316 Order of pole (three term test) -22.330948162050653 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y[1] (analytic) 0.1355250556147065 y[1] (numeric) 0.13552505561470088 absolute error 5.6343818499726694e-15 relative error 4.1574466244758756e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2964575942674875 Order of pole (three term test) -22.48131819015242 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y[1] (analytic) 0.12873321884311828 y[1] (numeric) 0.12873321884311223 absolute error 6.050715484207103e-15 relative error 4.700197461527668e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28880681170363853 Order of pole (three term test) -22.627884658466485 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y[1] (analytic) 0.12184650954025367 y[1] (numeric) 0.12184650954024764 absolute error 6.022959908591474e-15 relative error 4.94307135371958e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2810407005052025 Order of pole (three term test) -22.77058913400488 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y[1] (analytic) 0.1148646163796383 y[1] (numeric) 0.11486461637963183 absolute error 6.467049118441537e-15 relative error 5.630149059190983e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2731623646312278 Order of pole (three term test) -22.9093747262882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y[1] (analytic) 0.10778723755310216 y[1] (numeric) 0.10778723755309591 absolute error 6.2450045135165055e-15 relative error 5.793825554198714e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2651749526289518 Order of pole (three term test) -23.04418610979856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y[1] (analytic) 0.10061408080096479 y[1] (numeric) 0.10061408080095806 absolute error 6.7307270867900115e-15 relative error 6.689647247391511e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25708165637871977 Order of pole (three term test) -23.174969545810626 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y[1] (analytic) 0.09334486344125592 y[1] (numeric) 0.09334486344124918 absolute error 6.744604874597826e-15 relative error 7.2254697537185446e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24888570982204408 Order of pole (three term test) -23.3016729035925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y[1] (analytic) 0.08597931239798795 y[1] (numeric) 0.08597931239798089 absolute error 7.0637939941775585e-15 relative error 8.2156902598617e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24059038767330337 Order of pole (three term test) -23.42424568096847 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y[1] (analytic) 0.07851716422845989 y[1] (numeric) 0.07851716422845287 absolute error 7.022160630754115e-15 relative error 8.943472041758754e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23219900411558989 Order of pole (three term test) -23.542639024235836 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y[1] (analytic) 0.07095816514960385 y[1] (numeric) 0.07095816514959696 absolute error 6.8833827526759706e-15 relative error 9.700621116912293e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2237149114812163 Order of pole (three term test) -23.656805747428255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y[1] (analytic) 0.0633020710633625 y[1] (numeric) 0.06330207106335521 absolute error 7.28583859910259e-15 relative error 1.1509637009837793e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2151414989174014 Order of pole (three term test) -23.766700350918423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y[1] (analytic) 0.05554864758109668 y[1] (numeric) 0.055548647581089475 absolute error 7.202571872255703e-15 relative error 1.2966241638449455e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.206482191037655 Order of pole (three term test) -23.872279039353025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y[1] (analytic) 0.04769767004702752 y[1] (numeric) 0.04769767004702013 absolute error 7.389922007661198e-15 relative error 1.5493255751014893e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19774044655939355 Order of pole (three term test) -23.973499738913258 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y[1] (analytic) 0.03974892356069937 y[1] (numeric) 0.03974892356069143 absolute error 7.93809462606987e-15 relative error 1.997059018201549e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1889197569283196 Order of pole (three term test) -24.07032211389434 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y[1] (analytic) 0.031702202998469264 y[1] (numeric) 0.031702202998461375 absolute error 7.889522368742519e-15 relative error 2.4886353699531427e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18002364493009892 Order of pole (three term test) -24.162707582597825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y[1] (analytic) 0.023557313034022087 y[1] (numeric) 0.023557313034013923 absolute error 8.163608677946854e-15 relative error 3.465424374230099e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1710556632898801 Order of pole (three term test) -24.250619332530842 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y[1] (analytic) 0.015314068157899818 y[1] (numeric) 0.015314068157891434 absolute error 8.383918559395909e-15 relative error 5.4746514596587017e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1620193932602058 Order of pole (three term test) -24.33402233490634 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y[1] (analytic) 0.006972292696053817 y[1] (numeric) 0.00697229269604548 absolute error 8.337081025544535e-15 relative error 1.195744554766492e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15291844319786116 Order of pole (three term test) -24.412883358439075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y[1] (analytic) -0.0014681791725874582 y[1] (numeric) -0.001468179172595908 absolute error 8.449838051483027e-15 relative error 5.75531802197642e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14375644713021565 Order of pole (three term test) -24.487170982432144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y[1] (analytic) -0.010007503399537487 y[1] (numeric) -0.010007503399546262 absolute error 8.77423134149069e-15 relative error 8.767652621428243e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13453706331161822 Order of pole (three term test) -24.55685560914899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y[1] (analytic) -0.01864582605115661 y[1] (numeric) -0.01864582605116566 absolute error 9.048317650695026e-15 relative error 4.852730914613329e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1252639727704056 Order of pole (three term test) -24.621909475466534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y[1] (analytic) -0.027383283294045047 y[1] (numeric) -0.027383283294054213 absolute error 9.166278847061449e-15 relative error 3.347399487721332e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11594087784708727 Order of pole (three term test) -24.682306663804752 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y[1] (analytic) -0.036220001381426226 y[1] (numeric) -0.03622000138143552 absolute error 9.291178937331779e-15 relative error 2.5652066766889567e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1065715007242784 Order of pole (three term test) -24.73802311232888 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y[1] (analytic) -0.04515609664052178 y[1] (numeric) -0.04515609664053143 absolute error 9.652001420334955e-15 relative error 2.1374747018486814e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0971595819489492 Order of pole (three term test) -24.789036624420184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y[1] (analytic) -0.05419167546091952 y[1] (numeric) -0.05419167546092947 absolute error 9.950373858202965e-15 relative error 1.836144347553658e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08770887894756335 Order of pole (three term test) -24.835326877411994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y[1] (analytic) -0.06332683428393393 y[1] (numeric) -0.06332683428394391 absolute error 9.978129433818594e-15 relative error 1.5756558095230815e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07822316453468393 Order of pole (three term test) -24.8768754305875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y[1] (analytic) -0.07256165959296146 y[1] (numeric) -0.07256165959297174 absolute error 1.0283440765590512e-14 relative error 1.4172003263536182e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06870622541562325 Order of pole (three term test) -24.913665732436517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y[1] (analytic) -0.08189622790483408 y[1] (numeric) -0.08189622790484444 absolute error 1.0352829704629585e-14 relative error 1.2641399939274235e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05916186068371654 Order of pole (three term test) -24.945683127168348 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y[1] (analytic) -0.09133060576216545 y[1] (numeric) -0.09133060576217628 absolute error 1.0824674490095276e-14 relative error 1.1852187336065494e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.049593880312803575 Order of pole (three term test) -24.972914860478436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y[1] (analytic) -0.10086484972669929 y[1] (numeric) -0.10086484972671017 absolute error 1.0880185641326534e-14 relative error 1.078689520760423e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04000610364549957 Order of pole (three term test) -24.995350084566578 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y[1] (analytic) -0.1104990063736504 y[1] (numeric) -0.11049900637366154 absolute error 1.1143863609675009e-14 relative error 1.0085035128725261e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.030402357877842158 Order of pole (three term test) -25.01297986240484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y[1] (analytic) -0.12023311228704969 y[1] (numeric) -0.12023311228706082 absolute error 1.1129985821867194e-14 relative error 9.257005503854037e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.020786476540900222 Order of pole (three term test) -25.025797171253558 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y[1] (analytic) -0.13006719405608358 y[1] (numeric) -0.1300671940560951 absolute error 1.1518563880485999e-14 relative error 8.855856362611557e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.011162297979932565 Order of pole (three term test) -25.03379690542423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y[1] (analytic) -0.14000126827243742 y[1] (numeric) -0.1400012682724492 absolute error 1.176836406102666e-14 relative error 8.405898179526379e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0015336638316842946 Order of pole (three term test) -25.03697587828805 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y[1] (analytic) -0.15003534152863462 y[1] (numeric) -0.15003534152864653 absolute error 1.1907141939104804e-14 relative error 7.936224770636654e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1599999999999766 y[1] (analytic) -0.16016941041737764 y[1] (numeric) -0.1601694104173899 absolute error 1.226796442210798e-14 relative error 7.65936790935266e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1699999999999764 y[1] (analytic) -0.1704034615318899 y[1] (numeric) -0.17040346153190217 absolute error 1.226796442210798e-14 relative error 7.199363388408697e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.179999999999976 y[1] (analytic) -0.18073747146725427 y[1] (numeric) -0.1807374714672669 absolute error 1.2628786905111156e-14 relative error 6.987365045327205e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.189999999999976 y[1] (analytic) -0.19117140682275613 y[1] (numeric) -0.1911714068227689 absolute error 1.27675647831893e-14 relative error 6.67859540052802e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1999999999999758 y[1] (analytic) -0.20170522420522152 y[1] (numeric) -0.20170522420523423 absolute error 1.2712053631958042e-14 relative error 6.302292705628874e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2099999999999755 y[1] (analytic) -0.2123388702333564 y[1] (numeric) -0.2123388702333695 absolute error 1.3100631690576847e-14 relative error 6.169681357058885e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2199999999999753 y[1] (analytic) -0.22307228154308634 y[1] (numeric) -0.22307228154309994 absolute error 1.3600232051658168e-14 relative error 6.096782602293547e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.229999999999975 y[1] (analytic) -0.2339053847938919 y[1] (numeric) -0.2339053847939057 absolute error 1.3822276656583199e-14 relative error 5.909345211852578e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.239999999999975 y[1] (analytic) -0.24483809667614187 y[1] (numeric) -0.24483809667615603 absolute error 1.4155343563970746e-14 relative error 5.781511846456902e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2499999999999747 y[1] (analytic) -0.25587032391942577 y[1] (numeric) -0.25587032391943987 absolute error 1.4099832412739488e-14 relative error 5.510538383958728e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2599999999999745 y[1] (analytic) -0.26700196330187875 y[1] (numeric) -0.26700196330189313 absolute error 1.4377388168895777e-14 relative error 5.3847499812727445e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2699999999999743 y[1] (analytic) -0.27823290166050585 y[1] (numeric) -0.2782329016605206 absolute error 1.4765966227514582e-14 relative error 5.307052523044782e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.279999999999974 y[1] (analytic) -0.28956301590249733 y[1] (numeric) -0.2895630159025122 absolute error 1.4876988529977098e-14 relative error 5.1377378024638784e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.289999999999974 y[1] (analytic) -0.3009921730175371 y[1] (numeric) -0.30099217301755216 absolute error 1.504352198367087e-14 relative error 4.997977798842753e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2999999999999736 y[1] (analytic) -0.3125202300911045 y[1] (numeric) -0.3125202300911199 absolute error 1.5376588891058418e-14 relative error 4.920189930288962e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3099999999999734 y[1] (analytic) -0.324147034318766 y[1] (numeric) -0.32414703431878145 absolute error 1.5432100042289676e-14 relative error 4.760833328221586e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.319999999999973 y[1] (analytic) -0.33587242302145404 y[1] (numeric) -0.33587242302146975 absolute error 1.5709655798445965e-14 relative error 4.67726872516786e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.329999999999973 y[1] (analytic) -0.34769622366173625 y[1] (numeric) -0.3476962236617523 absolute error 1.6042722705833512e-14 relative error 4.614005449032722e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3399999999999728 y[1] (analytic) -0.3596182538610688 y[1] (numeric) -0.3596182538610849 absolute error 1.609823385706477e-14 relative error 4.476478511372783e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3499999999999726 y[1] (analytic) -0.371638321418033 y[1] (numeric) -0.37163832141804937 absolute error 1.637578961322106e-14 relative error 4.4063781018968025e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3599999999999723 y[1] (analytic) -0.3837562243275565 y[1] (numeric) -0.38375622432757334 absolute error 1.6819878823071122e-14 relative error 4.382959221715308e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.369999999999972 y[1] (analytic) -0.3959717508011136 y[1] (numeric) -0.3959717508011308 absolute error 1.7208456881689926e-14 relative error 4.345879938878087e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.379999999999972 y[1] (analytic) -0.40828467928790335 y[1] (numeric) -0.4082846792879206 absolute error 1.7263968032921184e-14 relative error 4.22841436593496e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3899999999999717 y[1] (analytic) -0.4206947784970039 y[1] (numeric) -0.4206947784970216 absolute error 1.7708057242771247e-14 relative error 4.209241033614911e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3999999999999715 y[1] (analytic) -0.4332018074205033 y[1] (numeric) -0.43320180742052117 absolute error 1.787459069646502e-14 relative error 4.126157922308572e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4099999999999713 y[1] (analytic) -0.44580551535759794 y[1] (numeric) -0.4458055153576162 absolute error 1.8263168755083825e-14 relative error 4.096667296822074e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.419999999999971 y[1] (analytic) -0.45850564193966425 y[1] (numeric) -0.45850564193968274 absolute error 1.8485213360008856e-14 relative error 4.0316217880785344e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.429999999999971 y[1] (analytic) -0.471301917156294 y[1] (numeric) -0.4713019171563127 absolute error 1.8707257964933888e-14 relative error 3.969272622061105e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4399999999999706 y[1] (analytic) -0.4841940613822957 y[1] (numeric) -0.48419406138231463 absolute error 1.892930256985892e-14 relative error 3.909445422733774e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4499999999999704 y[1] (analytic) -0.49718178540565683 y[1] (numeric) -0.49718178540567604 absolute error 1.9206858326015208e-14 relative error 3.863146014157396e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.45999999999997 y[1] (analytic) -0.5102647904564646 y[1] (numeric) -0.5102647904564843 absolute error 1.9761969838327786e-14 relative error 3.872885256427244e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.46999999999997 y[1] (analytic) -0.5234427682367837 y[1] (numeric) -0.5234427682368036 absolute error 1.9872992140790302e-14 relative error 3.796593122822663e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.47999999999997 y[1] (analytic) -0.5367154009514841 y[1] (numeric) -0.536715400951504 absolute error 1.9984014443252818e-14 relative error 3.723391281082179e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4899999999999696 y[1] (analytic) -0.5500823613400212 y[1] (numeric) -0.5500823613400415 absolute error 2.0317081350640365e-14 relative error 3.693461702925212e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4999999999999694 y[1] (analytic) -0.5635433127091622 y[1] (numeric) -0.5635433127091829 absolute error 2.0650148258027912e-14 relative error 3.6643409286067064e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.509999999999969 y[1] (analytic) -0.5770979089666546 y[1] (numeric) -0.5770979089666755 absolute error 2.0872192862952943e-14 relative error 3.616750734780251e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.519999999999969 y[1] (analytic) -0.5907457946558341 y[1] (numeric) -0.5907457946558554 absolute error 2.1316282072803006e-14 relative error 3.6083679758095913e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5299999999999687 y[1] (analytic) -0.6044866049911723 y[1] (numeric) -0.6044866049911939 absolute error 2.1538326677728037e-14 relative error 3.5630775768873443e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5399999999999685 y[1] (analytic) -0.6183199658947527 y[1] (numeric) -0.6183199658947747 absolute error 2.19824158875781e-14 relative error 3.555184548467231e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5499999999999683 y[1] (analytic) -0.6322454940336799 y[1] (numeric) -0.6322454940337019 absolute error 2.19824158875781e-14 relative error 3.476879803022699e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.559999999999968 y[1] (analytic) -0.6462627968584105 y[1] (numeric) -0.6462627968584328 absolute error 2.2315482794965646e-14 relative error 3.4530043975059172e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.569999999999968 y[1] (analytic) -0.66037147264201 y[1] (numeric) -0.6603714726420328 absolute error 2.275957200481571e-14 relative error 3.4464801929979438e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5799999999999677 y[1] (analytic) -0.6745711105203243 y[1] (numeric) -0.6745711105203472 absolute error 2.298161660974074e-14 relative error 3.4068486259386474e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5899999999999674 y[1] (analytic) -0.6888612905330649 y[1] (numeric) -0.6888612905330881 absolute error 2.3203661214665772e-14 relative error 3.3684083477400756e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5999999999999672 y[1] (analytic) -0.7032415836658057 y[1] (numeric) -0.7032415836658292 absolute error 2.353672812205332e-14 relative error 3.3468908364836452e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.609999999999967 y[1] (analytic) -0.7177115518928838 y[1] (numeric) -0.7177115518929076 absolute error 2.375877272697835e-14 relative error 3.3103511660523294e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.619999999999967 y[1] (analytic) -0.7322707482212016 y[1] (numeric) -0.7322707482212255 absolute error 2.3869795029440866e-14 relative error 3.2596952817553167e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6299999999999666 y[1] (analytic) -0.7469187167349252 y[1] (numeric) -0.7469187167349494 absolute error 2.4202861936828413e-14 relative error 3.240360884599146e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6399999999999664 y[1] (analytic) -0.7616549926410765 y[1] (numeric) -0.761654992641101 absolute error 2.453592884421596e-14 relative error 3.2213967060251792e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.649999999999966 y[1] (analytic) -0.7764791023160118 y[1] (numeric) -0.7764791023160369 absolute error 2.5091040356528538e-14 relative error 3.231386431610232e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.659999999999966 y[1] (analytic) -0.7913905633527842 y[1] (numeric) -0.7913905633528096 absolute error 2.531308496145357e-14 relative error 3.1985578466102535e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6699999999999657 y[1] (analytic) -0.8063888846093823 y[1] (numeric) -0.806388884609408 absolute error 2.5757174171303632e-14 relative error 3.1941380471508483e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6799999999999655 y[1] (analytic) -0.8214735662578461 y[1] (numeric) -0.8214735662578722 absolute error 2.609024107869118e-14 relative error 3.1760292905763337e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6899999999999653 y[1] (analytic) -0.8366440998342477 y[1] (numeric) -0.8366440998342741 absolute error 2.6423307986078726e-14 relative error 3.1582494864080912e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.699999999999965 y[1] (analytic) -0.8518999682895383 y[1] (numeric) -0.8518999682895652 absolute error 2.6867397195928788e-14 relative error 3.153820659234638e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.709999999999965 y[1] (analytic) -0.8672406460412527 y[1] (numeric) -0.8672406460412795 absolute error 2.6756374893466273e-14 relative error 3.0852307275498167e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7199999999999647 y[1] (analytic) -0.882665599026065 y[1] (numeric) -0.8826655990260927 absolute error 2.7644553313166398e-14 relative error 3.131939586596493e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7299999999999645 y[1] (analytic) -0.8981742847531993 y[1] (numeric) -0.8981742847532268 absolute error 2.7533531010703882e-14 relative error 3.0654998120180604e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7399999999999642 y[1] (analytic) -0.9137661523586718 y[1] (numeric) -0.9137661523586998 absolute error 2.808864252301646e-14 relative error 3.0739421076729812e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.749999999999964 y[1] (analytic) -0.9294406426603827 y[1] (numeric) -0.9294406426604112 absolute error 2.842170943040401e-14 relative error 3.0579370134978368e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.759999999999964 y[1] (analytic) -0.9451971882140304 y[1] (numeric) -0.9451971882140592 absolute error 2.8754776337791554e-14 relative error 3.042198675191184e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7699999999999636 y[1] (analytic) -0.9610352133698568 y[1] (numeric) -0.9610352133698857 absolute error 2.8976820942716586e-14 relative error 3.015167450639999e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.533564701308725 Order of pole (ratio test) Not computed 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) -0.9769541343302106 y[1] (numeric) -0.9769541343302403 absolute error 2.964295475749168e-14 relative error 3.0342217424377425e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.841424363992722 Order of pole (ratio test) Not computed 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) -0.9929533592079292 y[1] (numeric) -0.992953359207959 absolute error 2.986499936241671e-14 relative error 3.007694076007737e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.153887416453099 Order of pole (ratio test) Not computed 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) -1.0090322880855234 y[1] (numeric) -1.0090322880855538 absolute error 3.042011087472929e-14 relative error 3.014780719499726e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.471121810061335 Order of pole (ratio test) Not computed 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) -1.0251903130751718 y[1] (numeric) -1.0251903130752023 absolute error 3.042011087472929e-14 relative error 2.9672647592114675e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.793302603675023 Order of pole (ratio test) Not computed 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) -1.0414268183795063 y[1] (numeric) -1.0414268183795374 absolute error 3.108624468950438e-14 relative error 2.984966791797774e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.120612368721133 Order of pole (ratio test) Not computed 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) -1.0577411803531946 y[1] (numeric) -1.0577411803532257 absolute error 3.108624468950438e-14 relative error 2.938927335619499e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.453241621632433 Order of pole (ratio test) Not computed 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) -1.0741327675653003 y[1] (numeric) -1.0741327675653318 absolute error 3.1530333899354446e-14 relative error 2.9354224032121437e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.791389285837763 Order of pole (ratio test) Not computed 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) -1.090600940862429 y[1] (numeric) -1.0906009408624608 absolute error 3.175237850427948e-14 relative error 2.9114570980628554e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.135263185710787 Order of pole (ratio test) Not computed 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) -1.107145053432641 y[1] (numeric) -1.1071450534326732 absolute error 3.219646771412954e-14 relative error 2.9080622827430064e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.485080575107062 Order of pole (ratio test) Not computed 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) -1.1237644508701328 y[1] (numeric) -1.1237644508701654 absolute error 3.26405569239796e-14 relative error 2.904572830961681e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.841068703369324 Order of pole (ratio test) Not computed 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) -1.140458471240677 y[1] (numeric) -1.1404584712407095 absolute error 3.26405569239796e-14 relative error 2.8620557211934897e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.20346542195674 Order of pole (ratio test) Not computed 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) -1.1572264451478138 y[1] (numeric) -1.1572264451478471 absolute error 3.3306690738754696e-14 relative error 2.878148082288285e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.572519835161494 Order of pole (ratio test) Not computed 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) -1.1740676957997938 y[1] (numeric) -1.1740676957998273 absolute error 3.352873534367973e-14 relative error 2.8557753069629785e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.94849299871636 Order of pole (ratio test) Not computed 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) -1.190981539077252 y[1] (numeric) -1.190981539077286 absolute error 3.397282455352979e-14 relative error 2.852506393999292e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.331658670476116 Order of pole (ratio test) Not computed 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) -1.2079672836016226 y[1] (numeric) -1.2079672836016568 absolute error 3.419486915845482e-14 relative error 2.8307777555449092e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.267525626352306 Order of pole (ratio test) Not computed 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) -1.2250242308042743 y[1] (numeric) -1.225024230804309 absolute error 3.4638958368304884e-14 relative error 2.8276141399719996e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.88599376702037 Order of pole (ratio test) Not computed 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) -1.2421516749963675 y[1] (numeric) -1.2421516749964026 absolute error 3.5083047578154947e-14 relative error 2.8243771098451033e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.511972355076207 Order of pole (ratio test) Not computed 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) -1.259348903439423 y[1] (numeric) -1.2593489034394583 absolute error 3.530509218307998e-14 relative error 2.8034401019969777e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.14516914423352 Order of pole (ratio test) Not computed 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) -1.2766151964165937 y[1] (numeric) -1.2766151964166295 absolute error 3.574918139293004e-14 relative error 2.8003098735841872e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.785305894116792 Order of pole (ratio test) Not computed 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) -1.2939498273046373 y[1] (numeric) -1.2939498273046735 absolute error 3.6193270602780103e-14 relative error 2.797115455254746e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.432117519791618 Order of pole (ratio test) Not computed 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) -1.3113520626465776 y[1] (numeric) -1.3113520626466137 absolute error 3.6193270602780103e-14 relative error 2.7599964672900013e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.08535130201765 Order of pole (ratio test) Not computed 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) -1.328821162225048 y[1] (numeric) -1.3288211622250847 absolute error 3.6637359812630166e-14 relative error 2.757132476072449e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.744766153210122 Order of pole (ratio test) Not computed 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) -1.3463563791363158 y[1] (numeric) -1.3463563791363526 absolute error 3.68594044175552e-14 relative error 2.7377152876269216e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.410131934563086 Order of pole (ratio test) Not computed 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) -1.3639569598649688 y[1] (numeric) -1.3639569598650056 absolute error 3.68594044175552e-14 relative error 2.702387648742543e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.081228820205748 Order of pole (ratio test) Not computed 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) -1.3816221443592678 y[1] (numeric) -1.3816221443593049 absolute error 3.708144902248023e-14 relative error 2.6839066798308217e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.75784670464002 Order of pole (ratio test) Not computed 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) -1.399351166107151 y[1] (numeric) -1.3993511661071882 absolute error 3.730349362740526e-14 relative error 2.66577071795207e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.439784650043997 Order of pole (ratio test) Not computed 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) -1.4171432522128842 y[1] (numeric) -1.417143252212922 absolute error 3.774758283725532e-14 relative error 2.663639175384145e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.12685037033109 Order of pole (ratio test) Not computed 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) -1.4349976234743504 y[1] (numeric) -1.4349976234743889 absolute error 3.8413716652030416e-14 relative error 2.676918485692324e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.818859749127565 Order of pole (ratio test) Not computed 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) -1.4529134944609696 y[1] (numeric) -1.452913494461008 absolute error 3.8413716652030416e-14 relative error 2.6439094136352483e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.515636389078503 Order of pole (ratio test) Not computed 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) -1.4708900735922388 y[1] (numeric) -1.4708900735922774 absolute error 3.863576125695545e-14 relative error 2.6266926366970696e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.217011190115072 Order of pole (ratio test) Not computed 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) -1.4889265632168915 y[1] (numeric) -1.4889265632169308 absolute error 3.930189507173054e-14 relative error 2.6396127278982158e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.922821954517971 Order of pole (ratio test) Not computed 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) -1.5070221596926636 y[1] (numeric) -1.5070221596927031 absolute error 3.952393967665557e-14 relative error 2.6226515265519342e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.099999999999957 y[1] (analytic) -1.525176053466653 y[1] (numeric) -1.525176053466693 absolute error 3.9968028886505635e-14 relative error 2.620551823880279e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.109999999999957 y[1] (analytic) -1.5433874291562772 y[1] (numeric) -1.5433874291563177 absolute error 4.04121180963557e-14 relative error 2.6184039945464484e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.119999999999957 y[1] (analytic) -1.5616554656308104 y[1] (numeric) -1.5616554656308512 absolute error 4.085620730620576e-14 relative error 2.6162113350464553e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.129999999999956 y[1] (analytic) -1.579979336093495 y[1] (numeric) -1.5799793360935361 absolute error 4.107825191113079e-14 relative error 2.5999233643584814e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.139999999999956 y[1] (analytic) -1.5983582081642211 y[1] (numeric) -1.5983582081642627 absolute error 4.1522341120980855e-14 relative error 2.5978119866303898e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.149999999999956 y[1] (analytic) -1.6167912439627639 y[1] (numeric) -1.616791243962806 absolute error 4.218847493575595e-14 relative error 2.6093953126782016e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.159999999999956 y[1] (analytic) -1.6352776001925715 y[1] (numeric) -1.6352776001926141 absolute error 4.263256414560601e-14 relative error 2.6070536366782966e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1699999999999555 y[1] (analytic) -1.6538164282250927 y[1] (numeric) -1.6538164282251357 absolute error 4.3076653355456074e-14 relative error 2.6046816696389188e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.179999999999955 y[1] (analytic) -1.6724068741846398 y[1] (numeric) -1.6724068741846831 absolute error 4.3298697960381105e-14 relative error 2.589005021968163e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.189999999999955 y[1] (analytic) -1.6910480790337754 y[1] (numeric) -1.6910480790338194 absolute error 4.39648317751562e-14 relative error 2.5998569952119075e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.199999999999955 y[1] (analytic) -1.7097391786592162 y[1] (numeric) -1.7097391786592602 absolute error 4.39648317751562e-14 relative error 2.5714350073929745e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.209999999999955 y[1] (analytic) -1.7284793039582413 y[1] (numeric) -1.7284793039582858 absolute error 4.440892098500626e-14 relative error 2.569248060032262e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2199999999999545 y[1] (analytic) -1.7472675809256044 y[1] (numeric) -1.7472675809256497 absolute error 4.529709940470639e-14 relative error 2.592453491337058e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.229999999999954 y[1] (analytic) -1.766103130740933 y[1] (numeric) -1.7661031307409787 absolute error 4.574118861455645e-14 relative error 2.5899500328367946e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.239999999999954 y[1] (analytic) -1.7849850698566083 y[1] (numeric) -1.784985069856654 absolute error 4.574118861455645e-14 relative error 2.5625530088176556e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.249999999999954 y[1] (analytic) -1.8039125100861195 y[1] (numeric) -1.803912510086166 absolute error 4.6407322429331543e-14 relative error 2.5725927488088676e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.259999999999954 y[1] (analytic) -1.8228845586928841 y[1] (numeric) -1.822884558692931 absolute error 4.6851411639181606e-14 relative error 2.5701798512560134e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.269999999999953 y[1] (analytic) -1.8419003184795177 y[1] (numeric) -1.841900318479565 absolute error 4.729550084903167e-14 relative error 2.5677557235059243e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.279999999999953 y[1] (analytic) -1.8609588878775547 y[1] (numeric) -1.8609588878776024 absolute error 4.773959005888173e-14 relative error 2.5653221234419256e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.289999999999953 y[1] (analytic) -1.8800593610376044 y[1] (numeric) -1.8800593610376524 absolute error 4.796163466380676e-14 relative error 2.551070229896185e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.299999999999953 y[1] (analytic) -1.899200827919934 y[1] (numeric) -1.8992008279199826 absolute error 4.8627768478581856e-14 relative error 2.5604331971485372e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3099999999999525 y[1] (analytic) -1.9183823743854735 y[1] (numeric) -1.9183823743855226 absolute error 4.907185768843192e-14 relative error 2.5579810544366262e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.319999999999952 y[1] (analytic) -1.9376030822872279 y[1] (numeric) -1.9376030822872772 absolute error 4.929390229335695e-14 relative error 2.5440660548066615e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.329999999999952 y[1] (analytic) -1.9568620295620902 y[1] (numeric) -1.95686202956214 absolute error 4.973799150320701e-14 relative error 2.541721938073348e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.339999999999952 y[1] (analytic) -1.976158290323049 y[1] (numeric) -1.9761582903230992 absolute error 5.0182080713057076e-14 relative error 2.5393755631211935e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.349999999999952 y[1] (analytic) -1.9954909349517749 y[1] (numeric) -1.9954909349518257 absolute error 5.084821452783217e-14 relative error 2.5481556261272127e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3599999999999515 y[1] (analytic) -2.0148590301915825 y[1] (numeric) -2.0148590301916336 absolute error 5.10702591327572e-14 relative error 2.5346815021545796e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.369999999999951 y[1] (analytic) -2.0342616392407544 y[1] (numeric) -2.034261639240806 absolute error 5.1514348342607263e-14 relative error 2.5323364187231056e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.379999999999951 y[1] (analytic) -2.0536978218462214 y[1] (numeric) -2.0536978218462734 absolute error 5.1958437552457326e-14 relative error 2.5299942863915605e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.389999999999951 y[1] (analytic) -2.073166634397586 y[1] (numeric) -2.0731666343976385 absolute error 5.240252676230739e-14 relative error 2.5276562864197522e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399999999999951 y[1] (analytic) -2.092667130021484 y[1] (numeric) -2.0926671300215367 absolute error 5.284661597215745e-14 relative error 2.52532355547702e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.40999999999995 y[1] (analytic) -2.11219835867627 y[1] (numeric) -2.112198358676323 absolute error 5.3290705182007514e-14 relative error 2.522997187414026e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.41999999999995 y[1] (analytic) -2.131759367247021 y[1] (numeric) -2.1317593672470747 absolute error 5.3734794391857577e-14 relative error 2.5206782349572277e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.42999999999995 y[1] (analytic) -2.1513491996408476 y[1] (numeric) -2.1513491996409018 absolute error 5.417888360170764e-14 relative error 2.518367711329821e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.43999999999995 y[1] (analytic) -2.170966896882502 y[1] (numeric) -2.1709668968825566 absolute error 5.46229728115577e-14 relative error 2.51606659180276e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4499999999999496 y[1] (analytic) -2.1906114972102744 y[1] (numeric) -2.1906114972103294 absolute error 5.5067062021407764e-14 relative error 2.5137758151792415e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.459999999999949 y[1] (analytic) -2.2102820361721696 y[1] (numeric) -2.210282036172225 absolute error 5.551115123125783e-14 relative error 2.5114962852158743e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.469999999999949 y[1] (analytic) -2.22997754672235 y[1] (numeric) -2.229977546722406 absolute error 5.595524044110789e-14 relative error 2.5092288719835602e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.479999999999949 y[1] (analytic) -2.2496970593178403 y[1] (numeric) -2.249697059317896 absolute error 5.595524044110789e-14 relative error 2.4872344571617478e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.489999999999949 y[1] (analytic) -2.26943960201548 y[1] (numeric) -2.2694396020155363 absolute error 5.639932965095795e-14 relative error 2.4851654831822774e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4999999999999485 y[1] (analytic) -2.2892042005691184 y[1] (numeric) -2.2892042005691753 absolute error 5.684341886080802e-14 relative error 2.4831082717162668e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.509999999999948 y[1] (analytic) -2.3089898785270373 y[1] (numeric) -2.3089898785270946 absolute error 5.728750807065808e-14 relative error 2.481063628880141e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.519999999999948 y[1] (analytic) -2.328795657329596 y[1] (numeric) -2.3287956573296533 absolute error 5.728750807065808e-14 relative error 2.4599628520584337e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.529999999999948 y[1] (analytic) -2.348620556407085 y[1] (numeric) -2.348620556407143 absolute error 5.81756864903582e-14 relative error 2.4770151283762608e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.539999999999948 y[1] (analytic) -2.3684635932777844 y[1] (numeric) -2.3684635932778426 absolute error 5.81756864903582e-14 relative error 2.4562626445039505e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.549999999999947 y[1] (analytic) -2.388323783646209 y[1] (numeric) -2.388323783646268 absolute error 5.906386491005833e-14 relative error 2.4730258650226493e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.559999999999947 y[1] (analytic) -2.4082001415015397 y[1] (numeric) -2.4082001415015992 absolute error 5.950795411990839e-14 relative error 2.4710551708050527e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.569999999999947 y[1] (analytic) -2.428091679216221 y[1] (numeric) -2.4280916792162808 absolute error 5.995204332975845e-14 relative error 2.4691013046554634e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.579999999999947 y[1] (analytic) -2.4479974076447237 y[1] (numeric) -2.447997407644784 absolute error 6.039613253960852e-14 relative error 2.467164889595086e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.589999999999947 y[1] (analytic) -2.4679163362224603 y[1] (numeric) -2.467916336222521 absolute error 6.084022174945858e-14 relative error 2.465246526249113e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.599999999999946 y[1] (analytic) -2.4878474730648383 y[1] (numeric) -2.4878474730649 absolute error 6.17284001691587e-14 relative error 2.481197132761279e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.609999999999946 y[1] (analytic) -2.50778982506645 y[1] (numeric) -2.5077898250665123 absolute error 6.217248937900877e-14 relative error 2.479174640457015e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.619999999999946 y[1] (analytic) -2.52774239800038 y[1] (numeric) -2.5277423980004428 absolute error 6.261657858885883e-14 relative error 2.4771740442535952e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.629999999999946 y[1] (analytic) -2.5477041966176293 y[1] (numeric) -2.5477041966176923 absolute error 6.306066779870889e-14 relative error 2.47519582070906e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6399999999999455 y[1] (analytic) -2.567674224746637 y[1] (numeric) -2.5676742247467006 absolute error 6.350475700855895e-14 relative error 2.473240428887556e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.649999999999945 y[1] (analytic) -2.5876514853928985 y[1] (numeric) -2.587651485392963 absolute error 6.439293542825908e-14 relative error 2.488470174277813e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.659999999999945 y[1] (analytic) -2.607634980838664 y[1] (numeric) -2.607634980838729 absolute error 6.483702463810914e-14 relative error 2.48643023715138e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.669999999999945 y[1] (analytic) -2.6276237127427082 y[1] (numeric) -2.6276237127427735 absolute error 6.52811138479592e-14 relative error 2.4844163771006203e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.679999999999945 y[1] (analytic) -2.647616682240165 y[1] (numeric) -2.6476166822402303 absolute error 6.52811138479592e-14 relative error 2.4656557834015626e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.689999999999944 y[1] (analytic) -2.6676128900424114 y[1] (numeric) -2.667612890042477 absolute error 6.572520305780927e-14 relative error 2.4638208678308014e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.699999999999944 y[1] (analytic) -2.687611336536998 y[1] (numeric) -2.687611336537064 absolute error 6.616929226765933e-14 relative error 2.462011205568095e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.709999999999944 y[1] (analytic) -2.7076110218876064 y[1] (numeric) -2.707611021887673 absolute error 6.661338147750939e-14 relative error 2.4602271500235652e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.719999999999944 y[1] (analytic) -2.7276109461340354 y[1] (numeric) -2.7276109461341025 absolute error 6.705747068735946e-14 relative error 2.4584690416499098e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0073389134773086265 Order of pole (three term test) -0.894257651745016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y[1] (analytic) -2.747610109292194 y[1] (numeric) -2.7476101092922613 absolute error 6.750155989720952e-14 relative error 2.4567372084170433e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.016978536313896734 Order of pole (three term test) -0.9003549199517773 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y[1] (analytic) -2.767607511454098 y[1] (numeric) -2.767607511454166 absolute error 6.794564910705958e-14 relative error 2.4550319662689816e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.026611353980064385 Order of pole (three term test) -0.9112844839455715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y[1] (analytic) -2.787602152887863 y[1] (numeric) -2.7876021528879313 absolute error 6.838973831690964e-14 relative error 2.453353619563687e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03623350556415961 Order of pole (three term test) -0.9270419540531252 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y[1] (analytic) -2.807593034137674 y[1] (numeric) -2.8075930341377426 absolute error 6.88338275267597e-14 relative error 2.4517024614965745e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.045841134455908615 Order of pole (three term test) -0.9476210015836062 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y[1] (analytic) -2.827579156123732 y[1] (numeric) -2.827579156123801 absolute error 6.927791673660977e-14 relative error 2.4500787745083462e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05543038990163343 Order of pole (three term test) -0.9730133614015779 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y[1] (analytic) -2.84755952024216 y[1] (numeric) -2.8475595202422297 absolute error 6.972200594645983e-14 relative error 2.448482830677779e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06499742855704904 Order of pole (three term test) -1.0032088352871373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y[1] (analytic) -2.8675331284648635 y[1] (numeric) -2.8675331284649332 absolute error 6.972200594645983e-14 relative error 2.4314280889855166e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07453841603700158 Order of pole (three term test) -1.0381952960818148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y[1] (analytic) -2.8874989834393308 y[1] (numeric) -2.8874989834394014 absolute error 7.061018436615996e-14 relative error 2.4453752112513445e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08404952846150518 Order of pole (three term test) -1.0779586926184568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y[1] (analytic) -2.9074560885883702 y[1] (numeric) -2.907456088588441 absolute error 7.061018436615996e-14 relative error 2.4285898811439197e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09352695399744085 Order of pole (three term test) -1.1224830554330052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y[1] (analytic) -2.9274034482097635 y[1] (numeric) -2.9274034482098346 absolute error 7.105427357601002e-14 relative error 2.4272115146773787e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10296689439528016 Order of pole (three term test) -1.1717505032557325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y[1] (analytic) -2.9473400675758388 y[1] (numeric) -2.94734006757591 absolute error 7.105427357601002e-14 relative error 2.410793187989723e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11236556652020065 Order of pole (three term test) -1.2257412502791734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y[1] (analytic) -2.9672649530329394 y[1] (numeric) -2.967264953033011 absolute error 7.149836278586008e-14 relative error 2.4095712353822412e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12171920387696032 Order of pole (three term test) -1.2844336141996575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y[1] (analytic) -2.98717711210079 y[1] (numeric) -2.9871771121008623 absolute error 7.238654120556021e-14 relative error 2.4232423619051156e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13102405812790502 Order of pole (three term test) -1.347804025029032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y[1] (analytic) -3.0070755535717453 y[1] (numeric) -3.0070755535718177 absolute error 7.238654120556021e-14 relative error 2.407207265530156e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14027640060347835 Order of pole (three term test) -1.4158270346727981 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y[1] (analytic) -3.0269592876099054 y[1] (numeric) -3.0269592876099782 absolute error 7.283063041541027e-14 relative error 2.406065741073033e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14947252380461806 Order of pole (three term test) -1.4884753272706301 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y[1] (analytic) -3.0468273258501033 y[1] (numeric) -3.046827325850177 absolute error 7.37188088351104e-14 relative error 2.419526968583358e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1586087428964147 Order of pole (three term test) -1.5657197302948376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y[1] (analytic) -3.0666786814967386 y[1] (numeric) -3.0666786814968128 absolute error 7.416289804496046e-14 relative error 2.41834589624382e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16768139719242275 Order of pole (three term test) -1.647529226402093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y[1] (analytic) -3.086512369422456 y[1] (numeric) -3.0865123694225307 absolute error 7.460698725481052e-14 relative error 2.4171938526451095e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17668685162900896 Order of pole (three term test) -1.7338709660333507 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y[1] (analytic) -3.106327406266658 y[1] (numeric) -3.106327406266733 absolute error 7.505107646466058e-14 relative error 2.416071026938554e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1856214982291365 Order of pole (three term test) -1.8247102807566469 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y[1] (analytic) -3.126122810533839 y[1] (numeric) -3.1261228105339143 absolute error 7.549516567451064e-14 relative error 2.4149776016515025e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19448175755498093 Order of pole (three term test) -1.9200106973470832 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y[1] (analytic) -3.1458976026917345 y[1] (numeric) -3.1458976026918104 absolute error 7.593925488436071e-14 relative error 2.413913752926496e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20326408014878244 Order of pole (three term test) -2.0197339525980436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y[1] (analytic) -3.165650805269275 y[1] (numeric) -3.1656508052693515 absolute error 7.638334409421077e-14 relative error 2.412879650752051e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21196494796134271 Order of pole (three term test) -2.12384000885733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y[1] (analytic) -3.1853814429543306 y[1] (numeric) -3.1853814429544074 absolute error 7.682743330406083e-14 relative error 2.411875459185386e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2205808757675839 Order of pole (three term test) -2.2322870702816906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y[1] (analytic) -3.205088542691241 y[1] (numeric) -3.2050885426913185 absolute error 7.72715225139109e-14 relative error 2.4109013365673738e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22910841256858552 Order of pole (three term test) -2.3450315998027733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y[1] (analytic) -3.2247711337781224 y[1] (numeric) -3.2247711337782 absolute error 7.771561172376096e-14 relative error 2.4099574357300145e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.237544142979529 Order of pole (three term test) -2.4620283367973874 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y[1] (analytic) -3.244428247963934 y[1] (numeric) -3.2444282479640125 absolute error 7.860379014346108e-14 relative error 2.4227316536523654e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24588468860298224 Order of pole (three term test) -2.583230315454562 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y[1] (analytic) -3.2640589195453056 y[1] (numeric) -3.2640589195453846 absolute error 7.904787935331115e-14 relative error 2.4217663131008304e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2541267093869621 Order of pole (three term test) -2.708588883831635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y[1] (analytic) -3.2836621854631045 y[1] (numeric) -3.283662185463184 absolute error 7.949196856316121e-14 relative error 2.4208327188794e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26226690496722116 Order of pole (three term test) -2.838053723591315 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin(x) - 1,0; Iterations 491 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.40816326530484%