##############ECHO OF PROBLEM################# ##############temp/lin_sin_cospostode.ode################# diff ( y , x , 1 ) = sin(2.0 * x + 3.0) + cos(1.5 * x - 2.0); ! #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(-cos(2.0*x + 3.0)/2.0 + sin(1.5*x -2.0)/1.5) 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 8.299937886655786e-176 estimated_step_error 8.299937886655786e-176 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 5.569994016336442e-168 estimated_step_error 5.569994016336442e-168 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 3.737959692985801e-160 estimated_step_error 3.737959692985801e-160 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 2.5085022649361586e-152 estimated_step_error 2.5085022649361586e-152 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 1.6834273441472075e-144 estimated_step_error 1.6834273441472075e-144 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.1297289276422044e-136 estimated_step_error 1.1297289276422044e-136 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 7.581481968973216e-129 estimated_step_error 7.581481968973216e-129 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 5.08784571606871e-121 estimated_step_error 5.08784571606871e-121 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 3.4143945121913177e-113 estimated_step_error 3.4143945121913177e-113 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 2.2913600943306363e-105 estimated_step_error 2.2913600943306363e-105 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 1.5377040170036614e-97 estimated_step_error 1.5377040170036614e-97 best_h 0.002048 opt_iter 12 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.03193339693312e-89 estimated_step_error 1.03193339693312e-89 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 6.925156863935051e-82 estimated_step_error 6.925156863935051e-82 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 4.647352426262669e-74 estimated_step_error 4.647352426262669e-74 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 3.1187290682306365e-66 estimated_step_error 3.1187290682306365e-66 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 2.092866900630373e-58 estimated_step_error 2.092866900630373e-58 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 1.404393198856392e-50 estimated_step_error 1.404393198856392e-50 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 9.423220115128899e-43 estimated_step_error 9.423220115128899e-43 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) -0.14170274741949007 y[1] (numeric) -0.14170274741949007 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) -0.1450699809230483 y[1] (numeric) -0.14506998092304835 absolute error 5.551115123125783e-17 relative error 3.8265084808071674e-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] 0.12 y[1] (analytic) -0.14849180092505565 y[1] (numeric) -0.14849180092505576 absolute error 1.1102230246251565e-16 relative error 7.476662130224214e-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) -0.1519672830296706 y[1] (numeric) -0.1519672830296706 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] 0.14 y[1] (analytic) -0.15549545593961295 y[1] (numeric) -0.15549545593961292 absolute error 2.7755575615628914e-17 relative error 1.7849766379287547e-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] 0.15000000000000002 y[1] (analytic) -0.15907530175043105 y[1] (numeric) -0.15907530175043103 absolute error 2.7755575615628914e-17 relative error 1.7448073528833463e-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) -0.16270575626915507 y[1] (numeric) -0.16270575626915504 absolute error 2.7755575615628914e-17 relative error 1.705875455918991e-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) -0.1663857093572294 y[1] (numeric) -0.16638570935722938 absolute error 2.7755575615628914e-17 relative error 1.6681466048287725e-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) -0.170114005297606 y[1] (numeric) -0.170114005297606 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) -0.17388944318586885 y[1] (numeric) -0.1738894431858688 absolute error 5.551115123125783e-17 relative error 3.1923243995854575e-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) -0.17771077734524865 y[1] (numeric) -0.17771077734524854 absolute error 1.1102230246251565e-16 relative error 6.247359002140114e-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) -0.18157671776537743 y[1] (numeric) -0.18157671776537732 absolute error 1.1102230246251565e-16 relative error 6.114346807720802e-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) -0.18548593056462037 y[1] (numeric) -0.1854859305646202 absolute error 1.6653345369377348e-16 relative error 8.978225636135559e-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] 0.2300000000000001 y[1] (analytic) -0.18943703847581145 y[1] (numeric) -0.18943703847581142 absolute error 2.7755575615628914e-17 relative error 1.465160975854937e-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] 0.2400000000000001 y[1] (analytic) -0.19342862135521127 y[1] (numeric) -0.1934286213552112 absolute error 8.326672684688674e-17 relative error 4.304777972540898e-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) -0.19745921671448957 y[1] (numeric) -0.19745921671448952 absolute error 5.551115123125783e-17 relative error 2.81127172258171e-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) -0.2015273202755321 y[1] (numeric) -0.20152732027553202 absolute error 8.326672684688674e-17 relative error 4.131783558330594e-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) -0.20563138654785262 y[1] (numeric) -0.20563138654785262 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] 0.28000000000000014 y[1] (analytic) -0.20976982942838784 y[1] (numeric) -0.20976982942838765 absolute error 1.942890293094024e-16 relative error 9.262010167945988e-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) -0.21394102282343586 y[1] (numeric) -0.21394102282343586 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] 0.30000000000000016 y[1] (analytic) -0.21814330129249798 y[1] (numeric) -0.2181433012924978 absolute error 1.942890293094024e-16 relative error 8.90648615649625e-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] 0.31000000000000016 y[1] (analytic) -0.22237496071375917 y[1] (numeric) -0.22237496071375917 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) -0.22663425897095174 y[1] (numeric) -0.22663425897095166 absolute error 8.326672684688674e-17 relative error 3.674057365597107e-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) -0.23091941666131555 y[1] (numeric) -0.2309194166613155 absolute error 5.551115123125783e-17 relative error 2.4039187364081565e-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] 0.3400000000000002 y[1] (analytic) -0.23522861782437826 y[1] (numeric) -0.23522861782437807 absolute error 1.942890293094024e-16 relative error 8.259583000842977e-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) -0.23956001069125327 y[1] (numeric) -0.23956001069125324 absolute error 2.7755575615628914e-17 relative error 1.1586063773974574e-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) -0.24391170845415672 y[1] (numeric) -0.24391170845415652 absolute error 1.942890293094024e-16 relative error 7.965547473745775e-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] 0.3700000000000002 y[1] (analytic) -0.24828179005582168 y[1] (numeric) -0.24828179005582174 absolute error 5.551115123125783e-17 relative error 2.2358124298514662e-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] 0.3800000000000002 y[1] (analytic) -0.25266830099849585 y[1] (numeric) -0.2526683009984957 absolute error 1.6653345369377348e-16 relative error 6.59099115463498e-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) -0.2570692541721781 y[1] (numeric) -0.25706925417217813 absolute error 5.551115123125783e-17 relative error 2.159385081269888e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.448562793163668 Order of pole (ratio test) Not computed 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) -0.26148263070176525 y[1] (numeric) -0.26148263070176514 absolute error 1.1102230246251565e-16 relative error 4.2458767591772645e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.764348326256359 Order of pole (ratio test) Not computed 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) -0.26590638081274565 y[1] (numeric) -0.2659063808127456 absolute error 5.551115123125783e-17 relative error 2.0876201263612933e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.090109478839535 Order of pole (ratio test) Not computed 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) -0.270338424715091 y[1] (numeric) -0.2703384247150909 absolute error 1.1102230246251565e-16 relative error 4.10678957604794e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.426600488298458 Order of pole (ratio test) Not computed 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) -0.27477665350497055 y[1] (numeric) -0.2747766535049706 absolute error 5.551115123125783e-17 relative error 2.0202280842704005e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.774643919641507 Order of pole (ratio test) Not computed 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) -0.2792189300839172 y[1] (numeric) -0.27921893008391707 absolute error 1.1102230246251565e-16 relative error 3.976173908737088e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.135139008389158 Order of pole (ratio test) Not computed 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) -0.2836630900950547 y[1] (numeric) -0.28366309009505475 absolute error 5.551115123125783e-17 relative error 1.9569395233146547e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.509071234142011 Order of pole (ratio test) Not computed 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) -0.28810694287600114 y[1] (numeric) -0.288106942876001 absolute error 1.1102230246251565e-16 relative error 3.8535101360017813e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.555280774379296 Order of pole (ratio test) Not computed 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) -0.2925482724280384 y[1] (numeric) -0.2925482724280384 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 9.179728330319325 Order of pole (ratio test) Not computed 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) -0.29698483840114875 y[1] (numeric) -0.29698483840114864 absolute error 1.1102230246251565e-16 relative error 3.7383154998826434e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.818469096773928 Order of pole (ratio test) Not computed 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) -0.3014143770944936 y[1] (numeric) -0.30141437709449365 absolute error 5.551115123125783e-17 relative error 1.8416888990618734e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.470428267044523 Order of pole (ratio test) Not computed 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) -0.30583460247191846 y[1] (numeric) -0.30583460247191835 absolute error 1.1102230246251565e-16 relative error 3.6301419644858415e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.134628781363867 Order of pole (ratio test) Not computed 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) -0.3102432071920455 y[1] (numeric) -0.3102432071920456 absolute error 1.1102230246251565e-16 relative error 3.578557076796562e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.8101801383655465 Order of pole (ratio test) Not computed 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) -0.31463786365252455 y[1] (numeric) -0.3146378636525245 absolute error 5.551115123125783e-17 relative error 1.7642870628108025e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.496268693389114 Order of pole (ratio test) Not computed 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) -0.319016225047987 y[1] (numeric) -0.3190162250479871 absolute error 1.1102230246251565e-16 relative error 3.480145953260386e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.192149217138813 Order of pole (ratio test) Not computed 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) -0.3233759264412623 y[1] (numeric) -0.32337592644126223 absolute error 5.551115123125783e-17 relative error 1.7166135971268975e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.897137526734057 Order of pole (ratio test) Not computed 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) -0.32771458584738766 y[1] (numeric) -0.3277145858473877 absolute error 5.551115123125783e-17 relative error 1.693887108738841e-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) -0.3320298053299565 y[1] (numeric) -0.33202980532995635 absolute error 1.6653345369377348e-16 relative error 5.0156176048195405e-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) -0.3363191721093251 y[1] (numeric) -0.3363191721093252 absolute error 1.1102230246251565e-16 relative error 3.3010994219034993e-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) -0.34058025968221106 y[1] (numeric) -0.3405802596822109 absolute error 1.6653345369377348e-16 relative error 4.8896977719484584e-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] 0.5900000000000004 y[1] (analytic) -0.34481062895218867 y[1] (numeric) -0.3448106289521887 absolute error 5.551115123125783e-17 relative error 1.6099025543367165e-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) -0.34900782937060737 y[1] (numeric) -0.34900782937060726 absolute error 1.1102230246251565e-16 relative error 3.181083434796598e-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) -0.35316940008742465 y[1] (numeric) -0.3531694000874247 absolute error 5.551115123125783e-17 relative error 1.5717995731656372e-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) -0.3572928711114689 y[1] (numeric) -0.35729287111146874 absolute error 1.6653345369377348e-16 relative error 4.6609789099827315e-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) -0.3613757644796157 y[1] (numeric) -0.3613757644796157 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] 0.6400000000000005 y[1] (analytic) -0.3654155954343814 y[1] (numeric) -0.3654155954343811 absolute error 2.7755575615628914e-16 relative error 7.595618786503887e-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] 0.6500000000000005 y[1] (analytic) -0.369409873609408 y[1] (numeric) -0.369409873609408 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] 0.6600000000000005 y[1] (analytic) -0.37335610422233684 y[1] (numeric) -0.3733561042223366 absolute error 2.220446049250313e-16 relative error 5.94726060224803e-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] 0.6700000000000005 y[1] (analytic) -0.37725178927453296 y[1] (numeric) -0.3772517892745329 absolute error 5.551115123125783e-17 relative error 1.4714615757822517e-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] 0.6800000000000005 y[1] (analytic) -0.38109442875715216 y[1] (numeric) -0.381094428757152 absolute error 1.6653345369377348e-16 relative error 4.369873740660085e-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] 0.6900000000000005 y[1] (analytic) -0.3848815218630062 y[1] (numeric) -0.38488152186300617 absolute error 5.551115123125783e-17 relative error 1.4422919282421754e-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] 0.7000000000000005 y[1] (analytic) -0.3886105682037062 y[1] (numeric) -0.38861056820370604 absolute error 1.6653345369377348e-16 relative error 4.285355760229303e-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] 0.7100000000000005 y[1] (analytic) -0.39227906903153864 y[1] (numeric) -0.39227906903153864 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] 0.7200000000000005 y[1] (analytic) -0.39588452846554456 y[1] (numeric) -0.39588452846554434 absolute error 2.220446049250313e-16 relative error 5.608822496440569e-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] 0.7300000000000005 y[1] (analytic) -0.39942445472125077 y[1] (numeric) -0.39942445472125077 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] 0.7400000000000005 y[1] (analytic) -0.40289636134352 y[1] (numeric) -0.40289636134351975 absolute error 2.7755575615628914e-16 relative error 6.889011239285872e-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] 0.7500000000000006 y[1] (analytic) -0.4062977684419616 y[1] (numeric) -0.4062977684419615 absolute error 5.551115123125783e-17 relative error 1.3662676869756775e-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] 0.7600000000000006 y[1] (analytic) -0.4096262039283677 y[1] (numeric) -0.4096262039283674 absolute error 2.7755575615628914e-16 relative error 6.775830098135664e-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] 0.7700000000000006 y[1] (analytic) -0.4128792047556107 y[1] (numeric) -0.41287920475561063 absolute error 5.551115123125783e-17 relative error 1.3444889108453814e-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] 0.7800000000000006 y[1] (analytic) -0.4160543181574645 y[1] (numeric) -0.41605431815746424 absolute error 2.7755575615628914e-16 relative error 6.671142301454069e-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] 0.7900000000000006 y[1] (analytic) -0.4191491028887819 y[1] (numeric) -0.4191491028887819 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] 0.8000000000000006 y[1] (analytic) -0.4221611304654882 y[1] (numeric) -0.4221611304654879 absolute error 2.7755575615628914e-16 relative error 6.574640252887502e-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] 0.8100000000000006 y[1] (analytic) -0.4250879864038214 y[1] (numeric) -0.4250879864038214 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] 0.8200000000000006 y[1] (analytic) -0.42792727145827775 y[1] (numeric) -0.4279272714582774 absolute error 3.3306690738754696e-16 relative error 7.783259670563447e-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] 0.8300000000000006 y[1] (analytic) -0.43067660285769027 y[1] (numeric) -0.4306766028576902 absolute error 5.551115123125783e-17 relative error 1.2889288822035344e-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] 0.8400000000000006 y[1] (analytic) -0.4333336155389015 y[1] (numeric) -0.4333336155389011 absolute error 3.885780586188048e-16 relative error 8.967180128307427e-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] 0.8500000000000006 y[1] (analytic) -0.4358959633774544 y[1] (numeric) -0.43589596337745434 absolute error 5.551115123125783e-17 relative error 1.2734954185200652e-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] 0.8600000000000007 y[1] (analytic) -0.4383613204147655 y[1] (numeric) -0.4383613204147651 absolute error 3.885780586188048e-16 relative error 8.864332698221249e-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 0.003907599115383899 Order of pole (three term test) -0.8944458739203728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) -0.4407273820812036 y[1] (numeric) -0.44072738208120354 absolute error 5.551115123125783e-17 relative error 1.259534884561131e-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 0.013543437937544379 Order of pole (three term test) -0.9119559052102204 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) -0.44299186641454 y[1] (numeric) -0.4429918664145396 absolute error 4.440892098500626e-16 relative error 1.0024771186983729e-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 0.023157515120692335 Order of pole (three term test) -0.9487809392319272 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) -0.4451525152731952 y[1] (numeric) -0.4451525152731951 absolute error 1.1102230246251565e-16 relative error 2.494028420672407e-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 0.032734412544686765 Order of pole (three term test) -1.0048617979075711 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) -0.44720709554374993 y[1] (numeric) -0.44720709554374954 absolute error 3.885780586188048e-16 relative error 8.688995825219202e-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 0.04225877206659386 Order of pole (three term test) -1.080108360276135 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) -0.44915340034214857 y[1] (numeric) -0.44915340034214846 absolute error 1.1102230246251565e-16 relative error 2.4718125784630138e-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 0.051715320302135964 Order of pole (three term test) -1.174399709052736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) -0.45098925020806513 y[1] (numeric) -0.45098925020806474 absolute error 3.885780586188048e-16 relative error 8.616126846472132e-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 0.06108889326719081 Order of pole (three term test) -1.287584327279324 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) -0.4527124942918647 y[1] (numeric) -0.4527124942918646 absolute error 1.1102230246251565e-16 relative error 2.4523799069468432e-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 0.07036446083861629 Order of pole (three term test) -1.4194803447322057 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) -0.45432101153363363 y[1] (numeric) -0.45432101153363325 absolute error 3.885780586188048e-16 relative error 8.552940514617563e-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 0.07952715099402724 Order of pole (three term test) -1.5698758336672851 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) -0.4558127118337161 y[1] (numeric) -0.4558127118337159 absolute error 1.6653345369377348e-16 relative error 3.653550007936728e-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 0.0885622737905213 Order of pole (three term test) -1.7385291533997635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) -0.45718553721423505 y[1] (numeric) -0.4571855372142346 absolute error 4.440892098500626e-16 relative error 9.713544583147311e-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 0.0974553450428475 Order of pole (three term test) -1.9251693431325376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) -0.45843746297104226 y[1] (numeric) -0.4584374629710421 absolute error 1.6653345369377348e-16 relative error 3.632631866830935e-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 0.10619210966202393 Order of pole (three term test) -2.1294965623654356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) -0.4595664988155791 y[1] (numeric) -0.45956649881557865 absolute error 4.440892098500626e-16 relative error 9.663219816818558e-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 0.11475856461604556 Order of pole (three term test) -2.3511825781374633 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) -0.46057069000610007 y[1] (numeric) -0.4605706900060999 absolute error 1.6653345369377348e-16 relative error 3.615806591851683e-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 0.12314098147497662 Order of pole (three term test) -2.589871298274895 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) -0.4614481184677488 y[1] (numeric) -0.46144811846774825 absolute error 5.551115123125783e-16 relative error 1.2029770847388898e-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 0.13132592850348915 Order of pole (three term test) -2.845179349741268 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y[1] (analytic) -0.4621969039009438 y[1] (numeric) -0.4621969039009436 absolute error 2.220446049250313e-16 relative error 4.80411277208856e-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 0.13930029226469362 Order of pole (three term test) -3.1166967011092495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) -0.46281520487757283 y[1] (numeric) -0.4628152048775729 absolute error 5.551115123125783e-17 relative error 1.1994236716129936e-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 0.14705129870000058 Order of pole (three term test) -3.4039873281013735 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) -0.46330121992446366 y[1] (numeric) -0.46330121992446344 absolute error 2.220446049250313e-16 relative error 4.792661779764649e-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 0.15456653365066764 Order of pole (three term test) -3.7065899210745776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) -0.46365318859362814 y[1] (numeric) -0.46365318859362764 absolute error 4.996003610813204e-16 relative error 1.0775303036235526e-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 0.1618339627876865 Order of pole (three term test) -4.024018633254474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) -0.46386939251877346 y[1] (numeric) -0.4638693925187732 absolute error 2.7755575615628914e-16 relative error 5.983489331968719e-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 0.1688419509177091 Order of pole (three term test) -4.355763868458093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) -0.46394815645757614 y[1] (numeric) -0.46394815645757614 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 0.17557928063381517 Order of pole (three term test) -4.701293106979363 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) -0.463887849319221 y[1] (numeric) -0.4638878493192208 absolute error 2.220446049250313e-16 relative error 4.786601012526908e-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 0.1820351702810714 Order of pole (three term test) -5.060051768249237 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) -0.46368688517671464 y[1] (numeric) -0.46368688517671414 absolute error 4.996003610813204e-16 relative error 1.0774519984340702e-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 0.1881992912080439 Order of pole (three term test) -5.431464108823263 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) -0.46334372426349046 y[1] (numeric) -0.46334372426349013 absolute error 3.3306690738754696e-16 relative error 7.188333195123654e-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 0.19406178427666923 Order of pole (three term test) -5.814934154192645 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) -0.46285687395382236 y[1] (numeric) -0.46285687395382236 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 0.19961327560418546 Order of pole (three term test) -6.20984666286089 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) -0.4622248897265722 y[1] (numeric) -0.4622248897265719 absolute error 3.3306690738754696e-16 relative error 7.205732854078275e-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 0.20484489151215624 Order of pole (three term test) -6.615568121077241 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) -0.4614463761118024 y[1] (numeric) -0.4614463761118018 absolute error 6.106226635438361e-16 relative error 1.3232797897103656e-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 0.20974827265899737 Order of pole (three term test) -7.031447766570198 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) -0.4605199876197974 y[1] (numeric) -0.46051998761979707 absolute error 3.3306690738754696e-16 relative error 7.232409370742124e-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 0.21431558733382483 Order of pole (three term test) -7.4568186395796765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) -0.4594444296520347 y[1] (numeric) -0.45944442965203464 absolute error 5.551115123125783e-17 relative error 1.2082234030631258e-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 0.21853954389088265 Order of pole (three term test) -7.890998659444593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) -0.4582184593936556 y[1] (numeric) -0.45821845939365524 absolute error 3.3306690738754696e-16 relative error 7.268736135778614e-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 0.22241340230527656 Order of pole (three term test) -8.333291724963631 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) -0.45684088668699685 y[1] (numeric) -0.4568408866869963 absolute error 5.551115123125783e-16 relative error 1.215109086093932e-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 0.22593098483224747 Order of pole (three term test) -8.782988836712542 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) -0.4553105748857512 y[1] (numeric) -0.4553105748857509 absolute error 3.3306690738754696e-16 relative error 7.315158613900451e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.960320170526326 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.22908668575372984 Order of pole (three term test) -9.239369239468399 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) -0.453626441689327 y[1] (numeric) -0.4536264416893269 absolute error 5.551115123125783e-17 relative error 1.2237194777388107e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.256554352699793 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23187548019749024 Order of pole (three term test) -9.701701582863063 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) -0.4517874599569874 y[1] (numeric) -0.45178745995698705 absolute error 3.3306690738754696e-16 relative error 7.37220345644956e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.5619823412567655 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23429293201569612 Order of pole (three term test) -10.169245098362268 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) -0.4497926585013581 y[1] (numeric) -0.44979265850135747 absolute error 6.106226635438361e-16 relative error 1.3575647623470323e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.877295425274593 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2363352007113434 Order of pole (three term test) -10.641250790644772 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) -0.44764112286090313 y[1] (numeric) -0.44764112286090285 absolute error 2.7755575615628914e-16 relative error 6.200407915662719e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.203246765007403 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23799904740255853 Order of pole (three term test) -11.116962641437501 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) -0.4453319960509715 y[1] (numeric) -0.4453319960509714 absolute error 1.1102230246251565e-16 relative error 2.4930232601074624e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.540658876705953 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23928183981638415 Order of pole (three term test) -11.595618823846843 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) -0.44286447929302397 y[1] (numeric) -0.4428644792930236 absolute error 3.885780586188048e-16 relative error 8.774197904494836e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.8904322095887 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24018155630526117 Order of pole (three term test) -12.076452925214321 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) -0.4402378327216656 y[1] (numeric) -0.44023783272166506 absolute error 5.551115123125783e-16 relative error 1.2609355013419304e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.253555006876287 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24069678888102522 Order of pole (three term test) -12.558695176516103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) -0.4374513760691149 y[1] (numeric) -0.43745137606911455 absolute error 3.3306690738754696e-16 relative error 7.61380408447782e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.63111468223923 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24082674526284018 Order of pole (three term test) -13.041573686320737 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y[1] (analytic) -0.43450448932674535 y[1] (numeric) -0.43450448932674524 absolute error 1.1102230246251565e-16 relative error 2.5551474194096855e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.481692141427946 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24057124993709478 Order of pole (three term test) -13.524315677316807 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) -0.4313966133833475 y[1] (numeric) -0.4313966133833472 absolute error 2.7755575615628914e-16 relative error 6.433888156410899e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.108293401101209 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23993074422888533 Order of pole (three term test) -14.006148723423507 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) -0.42812725063976875 y[1] (numeric) -0.42812725063976825 absolute error 4.996003610813204e-16 relative error 1.1669436139249402e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.748291193586654 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23890628538629965 Order of pole (three term test) -14.486301985502093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) -0.42469596559959893 y[1] (numeric) -0.4246959655995987 absolute error 2.220446049250313e-16 relative error 5.2283191485358674e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.400703629315222 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23749954468029416 Order of pole (three term test) -14.96400744369275 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) -0.42110238543557654 y[1] (numeric) -0.42110238543557654 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 8.064634662500344 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23571280452452448 Order of pole (three term test) -15.438501124412909 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y[1] (analytic) -0.4173462005313976 y[1] (numeric) -0.4173462005313973 absolute error 2.7755575615628914e-16 relative error 6.650491984900871e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.7392645697275695 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23354895462104117 Order of pole (three term test) -15.909024320066367 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y[1] (analytic) -0.41342716499862486 y[1] (numeric) -0.4134271649986244 absolute error 4.440892098500626e-16 relative error 1.0741655301038086e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.42384165145826 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23101148713929567 Order of pole (three term test) -16.37482479952948 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) -0.4093450971684041 y[1] (numeric) -0.4093450971684039 absolute error 2.220446049250313e-16 relative error 5.424386574091112e-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 0.22810449093741378 Order of pole (three term test) -16.835158007500755 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y[1] (analytic) -0.4050998800576993 y[1] (numeric) -0.4050998800576993 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 0.22483264483618684 Order of pole (three term test) -17.28928825082251 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y[1] (analytic) -0.40069146180977133 y[1] (numeric) -0.400691461809771 absolute error 3.3306690738754696e-16 relative error 8.312303583490651e-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 0.22120120995769965 Order of pole (three term test) -17.73648986990882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.360000000000001 y[1] (analytic) -0.3961198561086355 y[1] (numeric) -0.3961198561086351 absolute error 3.885780586188048e-16 relative error 9.80960819374421e-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 0.21721602114194985 Order of pole (three term test) -18.176048393442645 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.370000000000001 y[1] (analytic) -0.3913851425672486 y[1] (numeric) -0.39138514256724843 absolute error 1.6653345369377348e-16 relative error 4.254976379568608e-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 0.2128834774562308 Order of pole (three term test) -18.60726167453572 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y[1] (analytic) -0.386487467089175 y[1] (numeric) -0.386487467089175 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 0.2082105318134281 Order of pole (three term test) -19.029441006578704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.390000000000001 y[1] (analytic) -0.3814270422035005 y[1] (numeric) -0.38142704220350043 absolute error 5.551115123125783e-17 relative error 1.4553543689658297e-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 0.2032046797167378 Order of pole (three term test) -19.44191221704454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y[1] (analytic) -0.3762041473727737 y[1] (numeric) -0.37620414737277336 absolute error 3.3306690738754696e-16 relative error 8.853355544151329e-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 0.19787394714961914 Order of pole (three term test) -19.844016737548024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) -0.37081912927376054 y[1] (numeric) -0.3708191292737604 absolute error 1.6653345369377348e-16 relative error 4.490961780206023e-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 0.19222687763108906 Order of pole (three term test) -20.235112648504078 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y[1] (analytic) -0.36527240205081546 y[1] (numeric) -0.36527240205081546 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 0.18627251845769977 Order of pole (three term test) -20.614575696771666 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y[1] (analytic) -0.35956444754167344 y[1] (numeric) -0.35956444754167316 absolute error 2.7755575615628914e-16 relative error 7.719221353888735e-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 0.1800204061547584 Order of pole (three term test) -20.981800284715142 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y[1] (analytic) -0.35369581547548845 y[1] (numeric) -0.3536958154754881 absolute error 3.3306690738754696e-16 relative error 9.416761319038814e-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 0.1734805511605047 Order of pole (three term test) -21.33620042916289 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y[1] (analytic) -0.34766712364295327 y[1] (numeric) -0.3476671236429531 absolute error 1.6653345369377348e-16 relative error 4.7900259290780624e-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 0.16666342176809776 Order of pole (three term test) -21.677210688792723 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y[1] (analytic) -0.3414790580383399 y[1] (numeric) -0.34147905803833994 absolute error 5.551115123125783e-17 relative error 1.6256092408754758e-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 0.1595799273513407 Order of pole (three term test) -22.004287058525016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y[1] (analytic) -0.33513237297331927 y[1] (numeric) -0.33513237297331927 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 0.15224140090112473 Order of pole (three term test) -22.316907829558144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.480000000000001 y[1] (analytic) -0.3286278911624261 y[1] (numeric) -0.32862789116242586 absolute error 2.220446049250313e-16 relative error 6.756718187845005e-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 0.14465958090056086 Order of pole (three term test) -22.614574413736033 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490000000000001 y[1] (analytic) -0.3219665037800484 y[1] (numeric) -0.32196650378004826 absolute error 1.1102230246251565e-16 relative error 3.448256298685052e-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 0.1368465925677261 Order of pole (three term test) -22.89681213099485 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.500000000000001 y[1] (analytic) -0.3151491704888335 y[1] (numeric) -0.3151491704888335 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 0.12881492849586096 Order of pole (three term test) -23.163170958693843 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100000000000011 y[1] (analytic) -0.3081769194394086 y[1] (numeric) -0.3081769194394084 absolute error 2.220446049250313e-16 relative error 7.205101710048342e-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 0.12057742872171404 Order of pole (three term test) -23.413226241695913 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5200000000000011 y[1] (analytic) -0.30105084724133147 y[1] (numeric) -0.30105084724133124 absolute error 2.220446049250313e-16 relative error 7.375651221703211e-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 0.11214726025354128 Order of pole (three term test) -23.646579362124648 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5300000000000011 y[1] (analytic) -0.2937721189052004 y[1] (numeric) -0.29377211890520033 absolute error 5.551115123125783e-17 relative error 1.8895990347256592e-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 0.1035378960910384 Order of pole (three term test) -23.862858367787467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5400000000000011 y[1] (analytic) -0.28634196775585563 y[1] (numeric) -0.28634196775585563 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 0.09476309377019528 Order of pole (three term test) -24.061718558318443 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5500000000000012 y[1] (analytic) -0.278761695316624 y[1] (numeric) -0.2787616953166241 absolute error 1.1102230246251565e-16 relative error 3.982695769460505e-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 0.08583687346674093 Order of pole (three term test) -24.24284302815947 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5600000000000012 y[1] (analytic) -0.271032671164569 y[1] (numeric) -0.27103267116456886 absolute error 1.1102230246251565e-16 relative error 4.09627009118409e-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 0.07677349569245626 Order of pole (three term test) -24.405943165564743 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5700000000000012 y[1] (analytic) -0.2631563327567169 y[1] (numeric) -0.2631563327567169 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 0.0675874386192032 Order of pole (three term test) -24.550759106880694 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5800000000000012 y[1] (analytic) -0.2551341852272494 y[1] (numeric) -0.25513418522724945 absolute error 5.551115123125783e-17 relative error 2.1757629688790527e-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 0.05829337506604093 Order of pole (three term test) -24.677060145421404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) -0.2469678011556532 y[1] (numeric) -0.24696780115565306 absolute error 1.3877787807814457e-16 relative error 5.6192701003431145e-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 0.04890614918526664 Order of pole (three term test) -24.78464509432857 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) -0.23865882030584085 y[1] (numeric) -0.23865882030584076 absolute error 8.326672684688674e-17 relative error 3.488944039033654e-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 0.0394407528836324 Order of pole (three term test) -24.873342602874338 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) -0.23020894933626457 y[1] (numeric) -0.23020894933626462 absolute error 5.551115123125783e-17 relative error 2.4113376735051724e-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 0.029912302015356464 Order of pole (three term test) -24.943011425735957 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) -0.2216199614810535 y[1] (numeric) -0.2216199614810536 absolute error 8.326672684688674e-17 relative error 3.757185331611263e-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 0.020336012383862512 Order of pole (three term test) -24.99354064484141 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) -0.21289369620222182 y[1] (numeric) -0.21289369620222198 absolute error 1.6653345369377348e-16 relative error 7.82237598691452e-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 0.010727175589443097 Order of pole (three term test) -25.02484984345664 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) -0.20403205881300673 y[1] (numeric) -0.2040320588130067 absolute error 2.7755575615628914e-17 relative error 1.3603536511419812e-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 0.0011011347602525915 Order of pole (three term test) -25.03688923225643 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) -0.19503702007240276 y[1] (numeric) -0.19503702007240284 absolute error 8.326672684688674e-17 relative error 4.2692780486482e-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] 1.6600000000000013 y[1] (analytic) -0.1859106157509796 y[1] (numeric) -0.18591061575097978 absolute error 1.6653345369377348e-16 relative error 8.957716213303219e-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] 1.6700000000000013 y[1] (analytic) -0.17665494616807165 y[1] (numeric) -0.1766549461680716 absolute error 5.551115123125783e-17 relative error 3.142349106853982e-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] 1.6800000000000013 y[1] (analytic) -0.1672721757004479 y[1] (numeric) -0.16727217570044792 absolute error 2.7755575615628914e-17 relative error 1.6593061876192597e-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] 1.6900000000000013 y[1] (analytic) -0.15776453226258336 y[1] (numeric) -0.15776453226258344 absolute error 8.326672684688674e-17 relative error 5.2779116860244334e-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] 1.7000000000000013 y[1] (analytic) -0.14813430675865558 y[1] (numeric) -0.14813430675865574 absolute error 1.6653345369377348e-16 relative error 1.1242058462871419e-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] 1.7100000000000013 y[1] (analytic) -0.1383838525064135 y[1] (numeric) -0.13838385250641372 absolute error 2.220446049250313e-16 relative error 1.6045557404520191e-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] 1.7200000000000013 y[1] (analytic) -0.12851558463307033 y[1] (numeric) -0.12851558463307045 absolute error 1.1102230246251565e-16 relative error 8.638820169514818e-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] 1.7300000000000013 y[1] (analytic) -0.11853197944338623 y[1] (numeric) -0.11853197944338635 absolute error 1.249000902703301e-16 relative error 1.0537248332209406e-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] 1.7400000000000013 y[1] (analytic) -0.10843557376011981 y[1] (numeric) -0.10843557376011993 absolute error 1.249000902703301e-16 relative error 1.1518368551876983e-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] 1.7500000000000013 y[1] (analytic) -0.09822896423703575 y[1] (numeric) -0.09822896423703578 absolute error 2.7755575615628914e-17 relative error 2.8255999471451305e-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] 1.7600000000000013 y[1] (analytic) -0.08791480664467055 y[1] (numeric) -0.08791480664467072 absolute error 1.6653345369377348e-16 relative error 1.8942594546884422e-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] 1.7700000000000014 y[1] (analytic) -0.07749581512907067 y[1] (numeric) -0.07749581512907086 absolute error 1.942890293094024e-16 relative error 2.507090595612299e-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] 1.7800000000000014 y[1] (analytic) -0.06697476144372361 y[1] (numeric) -0.06697476144372382 absolute error 2.0816681711721685e-16 relative error 3.108138239389351e-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] 1.7900000000000014 y[1] (analytic) -0.05635447415492145 y[1] (numeric) -0.05635447415492178 absolute error 3.2612801348363973e-16 relative error 5.78708289579806e-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] 1.8000000000000014 y[1] (analytic) -0.04563783782080255 y[1] (numeric) -0.04563783782080278 absolute error 2.2898349882893854e-16 relative error 5.017404630956547e-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] 1.8100000000000014 y[1] (analytic) -0.03482779214432835 y[1] (numeric) -0.03482779214432855 absolute error 2.0122792321330962e-16 relative error 5.777797294166959e-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] 1.8200000000000014 y[1] (analytic) -0.023927331100468574 y[1] (numeric) -0.023927331100468813 absolute error 2.393918396847994e-16 relative error 1.0004953694150675e-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] 1.8300000000000014 y[1] (analytic) -0.012939502037872752 y[1] (numeric) -0.012939502037872894 absolute error 1.4224732503009818e-16 relative error 1.099326114820749e-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] 1.8400000000000014 y[1] (analytic) -0.0018674047553204343 y[1] (numeric) -0.0018674047553207049 absolute error 2.706168622523819e-16 relative error 1.4491601859819932e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 0.009285809446744231 y[1] (numeric) 0.009285809446743952 absolute error 2.7929047963226594e-16 relative error 3.0077128034346012e-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] 1.8600000000000014 y[1] (analytic) 0.02051693873928423 y[1] (numeric) 0.020516938739284004 absolute error 2.255140518769849e-16 relative error 1.099160331580989e-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] 1.8700000000000014 y[1] (analytic) 0.03182273176201944 y[1] (numeric) 0.031822731762019066 absolute error 3.7470027081099033e-16 relative error 1.1774610476973464e-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] 1.8800000000000014 y[1] (analytic) 0.04319988864471991 y[1] (numeric) 0.04319988864471957 absolute error 3.400058012914542e-16 relative error 7.870524947128799e-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] 1.8900000000000015 y[1] (analytic) 0.05464506205209968 y[1] (numeric) 0.05464506205209933 absolute error 3.469446951953614e-16 relative error 6.349058490675287e-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] 1.9000000000000015 y[1] (analytic) 0.06615485825195083 y[1] (numeric) 0.06615485825195057 absolute error 2.636779683484747e-16 relative error 3.985768775201013e-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] 1.9100000000000015 y[1] (analytic) 0.07772583820615525 y[1] (numeric) 0.07772583820615503 absolute error 2.220446049250313e-16 relative error 2.856766939406865e-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] 1.9200000000000015 y[1] (analytic) 0.08935451868419514 y[1] (numeric) 0.08935451868419472 absolute error 4.163336342344337e-16 relative error 4.659346168109056e-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] 1.9300000000000015 y[1] (analytic) 0.10103737339877628 y[1] (numeric) 0.10103737339877591 absolute error 3.608224830031759e-16 relative error 3.571178375541045e-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] 1.9400000000000015 y[1] (analytic) 0.11277083416317035 y[1] (numeric) 0.11277083416317005 absolute error 3.0531133177191805e-16 relative error 2.7073607643103626e-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] 1.9500000000000015 y[1] (analytic) 0.12455129206986615 y[1] (numeric) 0.12455129206986564 absolute error 5.134781488891349e-16 relative error 4.1226240238527837e-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] 1.9600000000000015 y[1] (analytic) 0.13637509869011616 y[1] (numeric) 0.1363750986901157 absolute error 4.718447854656915e-16 relative error 3.459904264031808e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.469122787435937 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 0.14823856729395607 y[1] (numeric) 0.14823856729395565 absolute error 4.163336342344337e-16 relative error 2.808537898297728e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.785185544164301 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 0.16013797409025804 y[1] (numeric) 0.16013797409025768 absolute error 3.608224830031759e-16 relative error 2.2531975007989465e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.111237590843391 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 0.17206955948637864 y[1] (numeric) 0.17206955948637825 absolute error 3.885780586188048e-16 relative error 2.2582614831972378e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.448033864136674 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y[1] (analytic) 0.18402952936694683 y[1] (numeric) 0.18402952936694672 absolute error 1.1102230246251565e-16 relative error 6.032852599494619e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.796397687307488 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y[1] (analytic) 0.1960140563913339 y[1] (numeric) 0.19601405639133407 absolute error 1.6653345369377348e-16 relative error 8.495995479084233e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.157229118355977 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y[1] (analytic) 0.20801928130933195 y[1] (numeric) 0.20801928130933234 absolute error 3.885780586188048e-16 relative error 1.8679905832429812e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.53151452939766 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y[1] (analytic) 0.22004131429456647 y[1] (numeric) 0.2200413142945671 absolute error 6.38378239159465e-16 relative error 2.9011744508346116e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.53789442773417 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y[1] (analytic) 0.23207623629515584 y[1] (numeric) 0.23207623629515672 absolute error 8.881784197001252e-16 relative error 3.82709765497289e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.163099927040397 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y[1] (analytic) 0.24412010040112309 y[1] (numeric) 0.24412010040112422 absolute error 1.1379786002407855e-15 relative error 4.661552237488553e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.802530460620835 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.06 y[1] (analytic) 0.256168933228059 y[1] (numeric) 0.2561689332280604 absolute error 1.3877787807814457e-15 relative error 5.41743592126353e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.455118119369498 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.07 y[1] (analytic) 0.26821873631652615 y[1] (numeric) 0.26821873631652776 absolute error 1.609823385706477e-15 relative error 6.001905041438705e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.119891911267935 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y[1] (analytic) 0.2802654875466874 y[1] (numeric) 0.28026548754668934 absolute error 1.942890293094024e-15 relative error 6.932320886532174e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.79596668807331 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y[1] (analytic) 0.2923051425676347 y[1] (numeric) 0.29230514256763684 absolute error 2.1649348980190553e-15 relative error 7.406420834755325e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.482533540768477 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y[1] (analytic) 0.30433363624088566 y[1] (numeric) 0.30433363624088816 absolute error 2.4980018054066022e-15 relative error 8.208102910548435e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.178851440445534 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y[1] (analytic) 0.31634688409751205 y[1] (numeric) 0.3163468840975148 absolute error 2.7755575615628914e-15 relative error 8.773778725468155e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.884239939212219 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y[1] (analytic) 0.32834078380835247 y[1] (numeric) 0.32834078380835546 absolute error 2.9976021664879227e-15 relative error 9.12954562549128e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y[1] (analytic) 0.34031121666676023 y[1] (numeric) 0.34031121666676345 absolute error 3.219646771412954e-15 relative error 9.460889367527662e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y[1] (analytic) 0.3522540490833282 y[1] (numeric) 0.3522540490833317 absolute error 3.497202527569243e-15 relative error 9.92806906455731e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y[1] (analytic) 0.36416513409202655 y[1] (numeric) 0.36416513409203033 absolute error 3.774758283725532e-15 relative error 1.0365512593997069e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y[1] (analytic) 0.376040312867185 y[1] (numeric) 0.376040312867189 absolute error 3.9968028886505635e-15 relative error 1.062865536457047e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y[1] (analytic) 0.3878754162507437 y[1] (numeric) 0.38787541625074795 absolute error 4.274358644806853e-15 relative error 1.10199266716189e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y[1] (analytic) 0.3996662662891938 y[1] (numeric) 0.3996662662891984 absolute error 4.6074255521944e-15 relative error 1.152818223807891e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y[1] (analytic) 0.4114086777796211 y[1] (numeric) 0.411408677779626 absolute error 4.884981308350689e-15 relative error 1.1873792586765567e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y[1] (analytic) 0.4230984598242632 y[1] (numeric) 0.42309845982426825 absolute error 5.051514762044462e-15 relative error 1.1939336210636747e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y[1] (analytic) 0.4347314173929847 y[1] (numeric) 0.43473141739299004 absolute error 5.329070518200751e-15 relative error 1.225830548470212e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y[1] (analytic) 0.44630335289307255 y[1] (numeric) 0.4463033528930781 absolute error 5.551115123125783e-15 relative error 1.2437986600687145e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y[1] (analytic) 0.4578100677457453 y[1] (numeric) 0.4578100677457511 absolute error 5.828670879282072e-15 relative error 1.273163543122243e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y[1] (analytic) 0.469247363968772 y[1] (numeric) 0.46924736396877803 absolute error 6.050715484207103e-15 relative error 1.2894511400195683e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y[1] (analytic) 0.4806110457645863 y[1] (numeric) 0.4806110457645926 absolute error 6.328271240363392e-15 relative error 1.3167136494534744e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y[1] (analytic) 0.491896921113284 y[1] (numeric) 0.4918969211132905 absolute error 6.494804694057166e-15 relative error 1.3203588831899623e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y[1] (analytic) 0.5031008033698828 y[1] (numeric) 0.5031008033698896 absolute error 6.772360450213455e-15 relative error 1.3461239586283018e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y[1] (analytic) 0.5142185128652275 y[1] (numeric) 0.5142185128652343 absolute error 6.8833827526759706e-15 relative error 1.3386104507054279e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y[1] (analytic) 0.5252458785099111 y[1] (numeric) 0.5252458785099182 absolute error 7.105427357601002e-15 relative error 1.3527811732209388e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y[1] (analytic) 0.5361787394005925 y[1] (numeric) 0.5361787394005998 absolute error 7.327471962526033e-15 relative error 1.3666099425571399e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y[1] (analytic) 0.5470129464280757 y[1] (numeric) 0.5470129464280833 absolute error 7.549516567451064e-15 relative error 1.3801348974916294e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y[1] (analytic) 0.5577443638865246 y[1] (numeric) 0.5577443638865325 absolute error 7.882583474838611e-15 relative error 1.4132968408520495e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y[1] (analytic) 0.5683688710831785 y[1] (numeric) 0.5683688710831866 absolute error 8.104628079763643e-15 relative error 1.4259451022217512e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y[1] (analytic) 0.5788823639479351 y[1] (numeric) 0.5788823639479435 absolute error 8.326672684688674e-15 relative error 1.4384049684812263e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y[1] (analytic) 0.5892807566421673 y[1] (numeric) 0.5892807566421758 absolute error 8.548717289613705e-15 relative error 1.4507036235708606e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y[1] (analytic) 0.5995599831661346 y[1] (numeric) 0.5995599831661433 absolute error 8.770761894538737e-15 relative error 1.462866458869122e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y[1] (analytic) 0.6097159989643557 y[1] (numeric) 0.6097159989643646 absolute error 8.881784197001252e-15 relative error 1.4567084039270037e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y[1] (analytic) 0.6197447825283019 y[1] (numeric) 0.6197447825283111 absolute error 9.2148511043888e-15 relative error 1.486878367381493e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y[1] (analytic) 0.6296423369957764 y[1] (numeric) 0.6296423369957858 absolute error 9.325873406851315e-15 relative error 1.4811382365658603e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y[1] (analytic) 0.6394046917463383 y[1] (numeric) 0.639404691746348 absolute error 9.658940314238862e-15 relative error 1.5106145511473213e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y[1] (analytic) 0.6490279039921383 y[1] (numeric) 0.649027903992148 absolute error 9.769962616701378e-15 relative error 1.5053224301461962e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y[1] (analytic) 0.6585080603635248 y[1] (numeric) 0.6585080603635348 absolute error 9.992007221626409e-15 relative error 1.5173705263547404e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y[1] (analytic) 0.667841278488788 y[1] (numeric) 0.6678412784887983 absolute error 1.021405182655144e-14 relative error 1.5294130739663342e-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 0.0032635755868077646 Order of pole (three term test) -0.8939649866971004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y[1] (analytic) 0.6770237085674043 y[1] (numeric) 0.6770237085674147 absolute error 1.0325074129013956e-14 relative error 1.5250683245439098e-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 0.012900301734162978 Order of pole (three term test) -0.9101786446797763 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y[1] (analytic) 0.6860515349361475 y[1] (numeric) 0.686051534936158 absolute error 1.0547118733938987e-14 relative error 1.5373653722559827e-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 0.022516283578976906 Order of pole (three term test) -0.945704349740289 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y[1] (analytic) 0.6949209776274365 y[1] (numeric) 0.6949209776274472 absolute error 1.0658141036401503e-14 relative error 1.5337198587370294e-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 0.032096105557514104 Order of pole (three term test) -1.000485032628908 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y[1] (analytic) 0.7036282939192865 y[1] (numeric) 0.7036282939192973 absolute error 1.0769163338864018e-14 relative error 1.5305188026022378e-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 0.04162441039818087 Order of pole (three term test) -1.074432693695175 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y[1] (analytic) 0.7121697798762356 y[1] (numeric) 0.7121697798762466 absolute error 1.099120794378905e-14 relative error 1.5433409636813227e-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 0.051085923890155815 Order of pole (three term test) -1.1674285458710836 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y[1] (analytic) 0.720541771880623 y[1] (numeric) 0.7205417718806341 absolute error 1.1102230246251565e-14 relative error 1.5408170184602353e-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 0.06046547951509391 Order of pole (three term test) -1.2793232077026144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y[1] (analytic) 0.7287406481535905 y[1] (numeric) 0.7287406481536018 absolute error 1.1324274851176597e-14 relative error 1.55395131036932e-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 0.069748042901241 Order of pole (three term test) -1.4099369461021092 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y[1] (analytic) 0.7367628302651926 y[1] (numeric) 0.7367628302652038 absolute error 1.1213252548714081e-14 relative error 1.5219623042978362e-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 0.0789187360596132 Order of pole (three term test) -1.5590599684094217 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y[1] (analytic) 0.7446047846329897 y[1] (numeric) 0.744604784633001 absolute error 1.1213252548714081e-14 relative error 1.50593345357578e-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 0.08796286136228652 Order of pole (three term test) -1.726452763266073 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y[1] (analytic) 0.7522630240085182 y[1] (numeric) 0.7522630240085296 absolute error 1.1435297153639112e-14 relative error 1.5201195311587754e-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 0.09686592522330771 Order of pole (three term test) -1.9118464897239575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y[1] (analytic) 0.7597341089510197 y[1] (numeric) 0.7597341089510313 absolute error 1.1657341758564144e-14 relative error 1.5343975768916934e-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 0.10561366144325972 Order of pole (three term test) -2.1149434139283816 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y[1] (analytic) 0.7670146492878255 y[1] (numeric) 0.7670146492878372 absolute error 1.176836406102666e-14 relative error 1.5343076005071881e-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 0.11419205417912871 Order of pole (three term test) -2.335417392635099 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y[1] (analytic) 0.7741013055607924 y[1] (numeric) 0.7741013055608043 absolute error 1.1879386363489175e-14 relative error 1.5346035820057472e-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 0.12258736050178107 Order of pole (three term test) -2.572914402742042 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y[1] (analytic) 0.7809907904581908 y[1] (numeric) 0.780990790458203 absolute error 1.2212453270876722e-14 relative error 1.5637128401619094e-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 0.130786132504098 Order of pole (three term test) -2.8270531159392407 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y[1] (analytic) 0.7876798702314516 y[1] (numeric) 0.7876798702314638 absolute error 1.2212453270876722e-14 relative error 1.5504335876056117e-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 0.13877523892361332 Order of pole (three term test) -3.0974255175048824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y[1] (analytic) 0.7941653660961797 y[1] (numeric) 0.794165366096192 absolute error 1.2323475573339238e-14 relative error 1.5517518264384709e-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 0.14654188624436748 Order of pole (three term test) -3.383597568201977 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y[1] (analytic) 0.800444155616854 y[1] (numeric) 0.8004441556168664 absolute error 1.2434497875801753e-14 relative error 1.553449767675452e-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 0.15407363924361056 Order of pole (three term test) -3.6851099081583802 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y[1] (analytic) 0.8065131740746296 y[1] (numeric) 0.8065131740746423 absolute error 1.2656542480726785e-14 relative error 1.5692914744075375e-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 0.16135844094997365 Order of pole (three term test) -4.001478601543648 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y[1] (analytic) 0.8123694158176725 y[1] (numeric) 0.8123694158176853 absolute error 1.27675647831893e-14 relative error 1.571645181932211e-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 0.16838463198076525 Order of pole (three term test) -4.332195920788988 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y[1] (analytic) 0.818009935593455 y[1] (numeric) 0.8180099355934679 absolute error 1.2878587085651816e-14 relative error 1.5743802764826538e-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 0.17514096922714503 Order of pole (three term test) -4.676731169031904 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y[1] (analytic) 0.8234318498624534 y[1] (numeric) 0.8234318498624664 absolute error 1.2989609388114332e-14 relative error 1.577496594318537e-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 0.1816166438570743 Order of pole (three term test) -5.0345315394050045 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y[1] (analytic) 0.828632338092689 y[1] (numeric) 0.828632338092702 absolute error 1.2989609388114332e-14 relative error 1.5675962415385895e-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 0.18780129860713382 Order of pole (three term test) -5.4050230097286835 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y[1] (analytic) 0.8336086440345637 y[1] (numeric) 0.8336086440345768 absolute error 1.3100631690576847e-14 relative error 1.5715566032486653e-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 0.19368504433554848 Order of pole (three term test) -5.787611271110776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y[1] (analytic) 0.8383580769754491 y[1] (numeric) 0.8383580769754622 absolute error 1.3100631690576847e-14 relative error 1.5626534830844713e-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 0.19925847581003853 Order of pole (three term test) -6.181682688902124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y[1] (analytic) 0.8428780129734892 y[1] (numeric) 0.8428780129735025 absolute error 1.3322676295501878e-14 relative error 1.5806173717240995e-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 0.20451268670545092 Order of pole (three term test) -6.586605294405909 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y[1] (analytic) 0.8471658960700927 y[1] (numeric) 0.8471658960701062 absolute error 1.3433698597964394e-14 relative error 1.5857223077890424e-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 0.2094392837874858 Order of pole (three term test) -7.001729805690392 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y[1] (analytic) 0.851219239480588 y[1] (numeric) 0.8512192394806015 absolute error 1.354472090042691e-14 relative error 1.5912141399308441e-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 0.21403040026024073 Order of pole (three term test) -7.4263906758097615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y[1] (analytic) 0.8550356267625311 y[1] (numeric) 0.8550356267625447 absolute error 1.3655743202889425e-14 relative error 1.597096398730767e-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 0.21827870825672693 Order of pole (three term test) -7.859907166695635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y[1] (analytic) 0.8586127129611578 y[1] (numeric) 0.8586127129611716 absolute error 1.3766765505351941e-14 relative error 1.603373127084682e-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 0.2221774304529806 Order of pole (three term test) -8.301584446943034 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y[1] (analytic) 0.8619482257314823 y[1] (numeric) 0.8619482257314962 absolute error 1.3877787807814457e-14 relative error 1.6100488861772683e-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 0.22572035078788222 Order of pole (three term test) -8.750714711678976 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y[1] (analytic) 0.8650399664365521 y[1] (numeric) 0.8650399664365659 absolute error 1.3766765505351941e-14 relative error 1.5914600526566178e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.9693373908718526 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.22890182427231587 Order of pole (three term test) -9.206578322669602 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y[1] (analytic) 0.8678858112213763 y[1] (numeric) 0.8678858112213901 absolute error 1.3766765505351941e-14 relative error 1.5862415685743223e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.265479160619834 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2317167858728372 Order of pole (three term test) -9.668444966792464 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y[1] (analytic) 0.8704837120620564 y[1] (numeric) 0.8704837120620702 absolute error 1.3766765505351941e-14 relative error 1.5815075359354357e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.570797758218632 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2341607584565761 Order of pole (three term test) -10.135574830975145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y[1] (analytic) 0.8728316977896521 y[1] (numeric) 0.872831697789666 absolute error 1.3877787807814457e-14 relative error 1.5899729401393637e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.885982266995926 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23622985978566896 Order of pole (three term test) -10.607219791678489 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y[1] (analytic) 0.8749278750883287 y[1] (numeric) 0.8749278750883426 absolute error 1.3877787807814457e-14 relative error 1.5861636373642134e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.2117833450158 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23792080855110256 Order of pole (three term test) -11.082624616984322 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y[1] (analytic) 0.8767704294673381 y[1] (numeric) 0.8767704294673521 absolute error 1.3988810110276972e-14 relative error 1.5954929181149e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.549020662732957 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23923092943744106 Order of pole (three term test) -11.56102817933088 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y[1] (analytic) 0.8783576262063979 y[1] (numeric) 0.8783576262064119 absolute error 1.3988810110276972e-14 relative error 1.5926098542223916e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.898591424161399 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2401581572115088 Order of pole (three term test) -12.041664676927569 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y[1] (analytic) 0.8796878112740398 y[1] (numeric) 0.8796878112740539 absolute error 1.4099832412739488e-14 relative error 1.602822300370275e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.261480161641881 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2407010398297049 Order of pole (three term test) -12.523764861871296 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y[1] (analytic) 0.8807594122185101 y[1] (numeric) 0.8807594122185242 absolute error 1.4099832412739488e-14 relative error 1.600872181112885e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.638770033288651 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24085874056022616 Order of pole (three term test) -13.006557272980439 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y[1] (analytic) 0.8815709390308136 y[1] (numeric) 0.8815709390308276 absolute error 1.3988810110276972e-14 relative error 1.5868048152376789e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.50358731819958 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24063103911808104 Order of pole (three term test) -13.489269471360737 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y[1] (analytic) 0.8821209849795044 y[1] (numeric) 0.8821209849795184 absolute error 1.3988810110276972e-14 relative error 1.585815364159146e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.129613513850737 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24001833181236884 Order of pole (three term test) -13.97112927671776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y[1] (analytic) 0.8824082274168346 y[1] (numeric) 0.8824082274168485 absolute error 1.3988810110276972e-14 relative error 1.5852991479043517e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.769068878111328 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23902163070689314 Order of pole (three term test) -14.451366002434424 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y[1] (analytic) 0.8824314285558843 y[1] (numeric) 0.8824314285558984 absolute error 1.4099832412739488e-14 relative error 1.5978388752329605e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.420969225643319 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23764256179675236 Order of pole (three term test) -14.929211687439743 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y[1] (analytic) 0.8821894362183068 y[1] (numeric) 0.8821894362183209 absolute error 1.4099832412739488e-14 relative error 1.5982771765190737e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.084416443231552 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2358833622051221 Order of pole (three term test) -15.40390232290496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y[1] (analytic) 0.8816811845523309 y[1] (numeric) 0.8816811845523449 absolute error 1.3988810110276972e-14 relative error 1.5866064009724465e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.758588942077998 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23374687640599176 Order of pole (three term test) -15.87467907181656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y[1] (analytic) 0.8809056947206781 y[1] (numeric) 0.8809056947206922 absolute error 1.4099832412739488e-14 relative error 1.6006063415460529e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.4427333366333635 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2312365514801549 Order of pole (three term test) -16.340789479492475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y[1] (analytic) 0.87986207555806 y[1] (numeric) 0.8798620755580738 absolute error 1.3877787807814457e-14 relative error 1.57726855075693e-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 0.22835643141326736 Order of pole (three term test) -16.801488673126904 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y[1] (analytic) 0.878549524197929 y[1] (numeric) 0.878549524197943 absolute error 1.3988810110276972e-14 relative error 1.5922619869435414e-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 0.22511115044627777 Order of pole (three term test) -17.256040548471795 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y[1] (analytic) 0.8769673266681796 y[1] (numeric) 0.8769673266681934 absolute error 1.3877787807814457e-14 relative error 1.5824748979576786e-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 0.22150592549000905 Order of pole (three term test) -17.703718941787923 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y[1] (analytic) 0.8751148584554895 y[1] (numeric) 0.8751148584555034 absolute error 1.3877787807814457e-14 relative error 1.5858247261745374e-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 0.21754654761710557 Order of pole (three term test) -18.14380878522685 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y[1] (analytic) 0.8729915850380213 y[1] (numeric) 0.8729915850380352 absolute error 1.3877787807814457e-14 relative error 1.5896817387088604e-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 0.21323937264598353 Order of pole (three term test) -18.57560724383546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y[1] (analytic) 0.870597062386202 y[1] (numeric) 0.8705970623862158 absolute error 1.3766765505351941e-14 relative error 1.5813016262217666e-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 0.20859131083279892 Order of pole (three term test) -18.998424832408418 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y[1] (analytic) 0.8679309374313184 y[1] (numeric) 0.8679309374313322 absolute error 1.3766765505351941e-14 relative error 1.5861590953417696e-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 0.20360981568880993 Order of pole (three term test) -19.41158651044928 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y[1] (analytic) 0.864992948501675 y[1] (numeric) 0.8649929485016887 absolute error 1.3766765505351941e-14 relative error 1.5915465587550143e-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 0.19830287194182136 Order of pole (three term test) -19.81443275354001 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y[1] (analytic) 0.8617829257260727 y[1] (numeric) 0.8617829257260864 absolute error 1.3655743202889425e-14 relative error 1.5845919889146254e-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 0.19267898266169392 Order of pole (three term test) -20.20632059945881 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y[1] (analytic) 0.8583007914043805 y[1] (numeric) 0.8583007914043942 absolute error 1.3655743202889425e-14 relative error 1.5910206934034677e-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 0.18674715557113897 Order of pole (three term test) -20.586624667429707 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y[1] (analytic) 0.8545465603449842 y[1] (numeric) 0.8545465603449978 absolute error 1.354472090042691e-14 relative error 1.585018479854257e-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 0.18051688856424342 Order of pole (three term test) -20.954738148932222 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y[1] (analytic) 0.8505203401689064 y[1] (numeric) 0.8505203401689199 absolute error 1.3433698597964394e-14 relative error 1.5794682341514102e-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 0.17399815445632635 Order of pole (three term test) -21.310073768547372 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y[1] (analytic) 0.846222331580409 y[1] (numeric) 0.8462223315804224 absolute error 1.3322676295501878e-14 relative error 1.5743706823028863e-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 0.16720138498987488 Order of pole (three term test) -21.652064713365156 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y[1] (analytic) 0.8416528286038976 y[1] (numeric) 0.8416528286039108 absolute error 1.3211653993039363e-14 relative error 1.5697272728179816e-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 0.1601374541223855 Order of pole (three term test) -21.980165529530566 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y[1] (analytic) 0.8368122187869613 y[1] (numeric) 0.8368122187869744 absolute error 1.3100631690576847e-14 relative error 1.565540200831132e-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 0.15281766062298824 Order of pole (three term test) -22.29385298455843 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y[1] (analytic) 0.8317009833693972 y[1] (numeric) 0.8317009833694102 absolute error 1.2989609388114332e-14 relative error 1.5618124359419015e-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 0.1452537100057357 Order of pole (three term test) -22.592626894102203 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y[1] (analytic) 0.8263196974180753 y[1] (numeric) 0.8263196974180882 absolute error 1.2878587085651816e-14 relative error 1.5585477540826323e-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 0.1374576958283942 Order of pole (three term test) -22.876010911918787 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y[1] (analytic) 0.8206690299275192 y[1] (numeric) 0.820669029927532 absolute error 1.27675647831893e-14 relative error 1.5557507737701421e-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 0.12944208038648772 Order of pole (three term test) -23.14355328183015 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y[1] (analytic) 0.8147497438860872 y[1] (numeric) 0.8147497438860998 absolute error 1.2545520178264269e-14 relative error 1.539800444542183e-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 0.12121967483321223 Order of pole (three term test) -23.394827550541795 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y[1] (analytic) 0.8085626963076509 y[1] (numeric) 0.8085626963076633 absolute error 1.2434497875801753e-14 relative error 1.5378520345527465e-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 0.11280361875665845 Order of pole (three term test) -23.629433240239987 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y[1] (analytic) 0.802108838228685 y[1] (numeric) 0.8021088382286974 absolute error 1.2434497875801753e-14 relative error 1.550225765279078e-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 0.10420735924654766 Order of pole (three term test) -23.846996479952104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y[1] (analytic) 0.7953892146706917 y[1] (numeric) 0.7953892146707039 absolute error 1.2212453270876722e-14 relative error 1.5354059428543976e-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 0.09544462948341212 Order of pole (three term test) -24.047170594718395 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y[1] (analytic) 0.7884049645678968 y[1] (numeric) 0.7884049645679089 absolute error 1.2101430968414206e-14 relative error 1.5349257694041375e-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 0.08652942688382483 Order of pole (three term test) -24.229636651688402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y[1] (analytic) 0.7811573206601712 y[1] (numeric) 0.7811573206601831 absolute error 1.1879386363489175e-14 relative error 1.5207418594566425e-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 0.07747599083590398 Order of pole (three term test) -24.394103962321765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y[1] (analytic) 0.7736476093511395 y[1] (numeric) 0.7736476093511512 absolute error 1.1657341758564144e-14 relative error 1.5068025309793422e-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 0.06829878005989529 Order of pole (three term test) -24.540310539939735 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y[1] (analytic) 0.7658772505314551 y[1] (numeric) 0.7658772505314665 absolute error 1.1435297153639112e-14 relative error 1.4930979012242455e-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 0.05901244962915685 Order of pole (three term test) -24.66802351194216 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1599999999999766 y[1] (analytic) 0.757847757367232 y[1] (numeric) 0.7578477573672433 absolute error 1.1324274851176597e-14 relative error 1.4942677788632905e-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 0.0496318276873449 Order of pole (three term test) -24.777039486073335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1699999999999764 y[1] (analytic) 0.7495607360536392 y[1] (numeric) 0.7495607360536503 absolute error 1.1102230246251565e-14 relative error 1.481164862597216e-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 0.04017189189801725 Order of pole (three term test) -24.867184870189558 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.179999999999976 y[1] (analytic) 0.7410178855336724 y[1] (numeric) 0.7410178855336834 absolute error 1.099120794378905e-14 relative error 1.483258118105113e-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 0.030647745663248637 Order of pole (three term test) -24.93831614505157 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.189999999999976 y[1] (analytic) 0.7322209971821391 y[1] (numeric) 0.7322209971821498 absolute error 1.0769163338864018e-14 relative error 1.4707531442430356e-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 0.021074594148160684 Order of pole (three term test) -24.990320089735672 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1999999999999758 y[1] (analytic) 0.7231719544548956 y[1] (numeric) 0.7231719544549062 absolute error 1.0658141036401503e-14 relative error 1.4738045316532326e-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 0.011467720148545206 Order of pole (three term test) -25.023113959328338 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2099999999999755 y[1] (analytic) 0.7138727325034002 y[1] (numeric) 0.7138727325034107 absolute error 1.0436096431476471e-14 relative error 1.4618987329687318e-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 0.0018424598389686132 Order of pole (three term test) -25.03664561464104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2199999999999753 y[1] (analytic) 0.7043253977546491 y[1] (numeric) 0.7043253977546593 absolute error 1.021405182655144e-14 relative error 1.4501893384951444e-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) 0.694532107456582 y[1] (numeric) 0.694532107456592 absolute error 9.992007221626409e-15 relative error 1.4386674301088449e-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) 0.6844951091890557 y[1] (numeric) 0.6844951091890654 absolute error 9.769962616701378e-15 relative error 1.4273239480521899e-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) 0.6742167403404963 y[1] (numeric) 0.6742167403405058 absolute error 9.547918011776346e-15 relative error 1.4161496504750696e-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) 0.663699427550355 y[1] (numeric) 0.6636994275503645 absolute error 9.43689570931383e-15 relative error 1.421862867072889e-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) 0.6529456861175068 y[1] (numeric) 0.6529456861175159 absolute error 9.103828801926284e-15 relative error 1.3942704570205126e-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) 0.6419581193747405 y[1] (numeric) 0.6419581193747493 absolute error 8.881784197001252e-15 relative error 1.383545737477704e-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) 0.6307394180295087 y[1] (numeric) 0.6307394180295174 absolute error 8.659739592076221e-15 relative error 1.3729504363513682e-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) 0.6192923594711122 y[1] (numeric) 0.6192923594711206 absolute error 8.43769498715119e-15 relative error 1.3624736133281455e-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) 0.6076198070445105 y[1] (numeric) 0.6076198070445187 absolute error 8.215650382226158e-15 relative error 1.3521037805181901e-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) 0.5957247092909637 y[1] (numeric) 0.5957247092909717 absolute error 7.993605777301127e-15 relative error 1.3418288099574014e-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) 0.5836100991557205 y[1] (numeric) 0.5836100991557281 absolute error 7.66053886991358e-15 relative error 1.3126124583854354e-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) 0.5712790931629839 y[1] (numeric) 0.5712790931629913 absolute error 7.438494264988549e-15 relative error 1.302077102770217e-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) 0.5587348905583964 y[1] (numeric) 0.5587348905584035 absolute error 7.105427357601002e-15 relative error 1.2716992401351344e-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) 0.5459807724193003 y[1] (numeric) 0.5459807724193072 absolute error 6.8833827526759706e-15 relative error 1.2607372091465696e-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) 0.5330201007330414 y[1] (numeric) 0.5330201007330481 absolute error 6.661338147750939e-15 relative error 1.2497348859057782e-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) 0.5198563174435968 y[1] (numeric) 0.5198563174436033 absolute error 6.439293542825908e-15 relative error 1.238667940882445e-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) 0.5064929434668202 y[1] (numeric) 0.5064929434668263 absolute error 6.106226635438361e-15 relative error 1.20558967586848e-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) 0.49293357767460944 y[1] (numeric) 0.4929335776746152 absolute error 5.773159728050814e-15 relative error 1.1711841086755377e-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) 0.47918189584831655 y[1] (numeric) 0.47918189584832205 absolute error 5.495603971894525e-15 relative error 1.1468722043777173e-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) 0.46524164960172787 y[1] (numeric) 0.4652416496017331 absolute error 5.218048215738236e-15 relative error 1.1215780487850064e-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) 0.45111666527395833 y[1] (numeric) 0.4511166652739632 absolute error 4.884981308350689e-15 relative error 1.0828642975058551e-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) 0.43681084279261323 y[1] (numeric) 0.4368108427926178 absolute error 4.551914400963142e-15 relative error 1.0420790774931097e-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) 0.42232815450758454 y[1] (numeric) 0.42232815450758876 absolute error 4.218847493575595e-15 relative error 9.989500933212894e-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] 3.45999999999997 y[1] (analytic) 0.4076726439958589 y[1] (numeric) 0.40767264399586284 absolute error 3.941291737419306e-15 relative error 9.667785649751227e-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] 3.46999999999997 y[1] (analytic) 0.3928484248377271 y[1] (numeric) 0.3928484248377307 absolute error 3.608224830031759e-15 relative error 9.184776116951975e-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] 3.47999999999997 y[1] (analytic) 0.3778596793647955 y[1] (numeric) 0.37785967936479875 absolute error 3.2751579226442118e-15 relative error 8.667656544222835e-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] 3.4899999999999696 y[1] (analytic) 0.36271065738021274 y[1] (numeric) 0.36271065738021574 absolute error 2.9976021664879227e-15 relative error 8.26444469026361e-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] 3.4999999999999694 y[1] (analytic) 0.34740567485153434 y[1] (numeric) 0.347405674851537 absolute error 2.6645352591003757e-15 relative error 7.66980925178922e-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] 3.509999999999969 y[1] (analytic) 0.33194911257665927 y[1] (numeric) 0.33194911257666154 absolute error 2.275957200481571e-15 relative error 6.85634368115977e-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] 3.519999999999969 y[1] (analytic) 0.316345414823285 y[1] (numeric) 0.31634541482328693 absolute error 1.942890293094024e-15 relative error 6.141673632852716e-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] 3.5299999999999687 y[1] (analytic) 0.30059908794233653 y[1] (numeric) 0.3005990879423382 absolute error 1.6653345369377348e-15 relative error 5.540051862223858e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.446628515485904 Order of pole (ratio test) Not computed 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) 0.2847146989558358 y[1] (numeric) 0.28471469895583706 absolute error 1.27675647831893e-15 relative error 4.484336365496104e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.7618052547166965 Order of pole (ratio test) Not computed 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) 0.26869687411968823 y[1] (numeric) 0.2686968741196892 absolute error 9.43689570931383e-16 relative error 3.5120973179279575e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.0868967814032 Order of pole (ratio test) Not computed 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) 0.2525502974618753 y[1] (numeric) 0.25255029746187585 absolute error 5.551115123125783e-16 relative error 2.1980235932859166e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.422650848059181 Order of pole (ratio test) Not computed 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) 0.23627970929654762 y[1] (numeric) 0.23627970929654785 absolute error 2.220446049250313e-16 relative error 9.397531662202518e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.769882702439237 Order of pole (ratio test) Not computed 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) 0.21988990471452868 y[1] (numeric) 0.21988990471452854 absolute error 1.3877787807814457e-16 relative error 6.311243722548903e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.129483302573618 Order of pole (ratio test) Not computed 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) 0.20338573205074348 y[1] (numeric) 0.203385732050743 absolute error 4.718447854656915e-16 relative error 2.319950277278886e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.50242873938574 Order of pole (ratio test) Not computed 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) 0.1867720913291001 y[1] (numeric) 0.18677209132909928 absolute error 8.326672684688674e-16 relative error 4.458199630059683e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.594546034711966 Order of pole (ratio test) Not computed 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) 0.17005393268535887 y[1] (numeric) 0.17005393268535768 absolute error 1.1934897514720433e-15 relative error 7.018301386068439e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.21807140759326 Order of pole (ratio test) Not computed 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) 0.15323625476853417 y[1] (numeric) 0.15323625476853261 absolute error 1.5543122344752192e-15 relative error 1.0143240820020255e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.855933904149243 Order of pole (ratio test) Not computed 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) 0.13632410312138252 y[1] (numeric) 0.13632410312138057 absolute error 1.942890293094024e-15 relative error 1.425199395123899e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.507056245761033 Order of pole (ratio test) Not computed 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) 0.11932256854053896 y[1] (numeric) 0.11932256854053667 absolute error 2.2898349882893854e-15 relative error 1.919029246769383e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.170459102766198 Order of pole (ratio test) Not computed 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) 0.10223678541687312 y[1] (numeric) 0.10223678541687045 absolute error 2.6645352591003757e-15 relative error 2.6062392789793466e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.8452498882475785 Order of pole (ratio test) Not computed 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) 0.08507193005664318 y[1] (numeric) 0.08507193005664014 absolute error 3.039235529911366e-15 relative error 3.5725479930780474e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.530613040475406 Order of pole (ratio test) Not computed 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) 0.06783321898403591 y[1] (numeric) 0.0678332189840325 absolute error 3.4139358007223564e-15 relative error 5.032837674304979e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.225801567334944 Order of pole (ratio test) Not computed 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) 0.05052590722568703 y[1] (numeric) 0.050525907225683266 absolute error 3.767819389821625e-15 relative error 7.457202842477791e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.9301296646110435 Order of pole (ratio test) Not computed 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) 0.033155286577785104 y[1] (numeric) 0.03315528657778097 absolute error 4.135580766728708e-15 relative error 1.247336757903234e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.699999999999965 y[1] (analytic) 0.015726683856368606 y[1] (numeric) 0.01572668385636409 absolute error 4.517219931443606e-15 relative error 2.8723283132663298e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.709999999999965 y[1] (analytic) -0.0017545408685661346 y[1] (numeric) -0.001754540868571016 absolute error 4.881511861398735e-15 relative error 2.7822161049962085e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7199999999999647 y[1] (analytic) -0.01928299605452194 y[1] (numeric) -0.019282996054527244 absolute error 5.304784389537076e-15 relative error 2.751016685652997e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7299999999999645 y[1] (analytic) -0.036853260482892225 y[1] (numeric) -0.03685326048289787 absolute error 5.648259637780484e-15 relative error 1.5326349863677546e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7399999999999642 y[1] (analytic) -0.05445988506964822 y[1] (numeric) -0.05445988506965424 absolute error 6.022959908591474e-15 relative error 1.1059442929210683e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.749999999999964 y[1] (analytic) -0.07209739468967982 y[1] (numeric) -0.0720973946896862 absolute error 6.38378239159465e-15 relative error 8.85438706775966e-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) -0.08976029001413877 y[1] (numeric) -0.08976029001414551 absolute error 6.744604874597826e-15 relative error 7.51401858609797e-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) -0.10744304936012952 y[1] (numeric) -0.10744304936013666 absolute error 7.13318293321663e-15 relative error 6.63903619238086e-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] 3.7799999999999634 y[1] (analytic) -0.12514013055208642 y[1] (numeric) -0.12514013055209394 absolute error 7.521760991835436e-15 relative error 6.0106705647911184e-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] 3.789999999999963 y[1] (analytic) -0.14284597279417058 y[1] (numeric) -0.14284597279417852 absolute error 7.93809462606987e-15 relative error 5.557100750406186e-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] 3.799999999999963 y[1] (analytic) -0.1605549985530155 y[1] (numeric) -0.1605549985530238 absolute error 8.298917109073045e-15 relative error 5.16889364010223e-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] 3.8099999999999627 y[1] (analytic) -0.1782616154501445 y[1] (numeric) -0.17826161545015315 absolute error 8.659739592076221e-15 relative error 4.857882371484591e-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] 3.8199999999999625 y[1] (analytic) -0.19596021816337988 y[1] (numeric) -0.19596021816338893 absolute error 9.048317650695026e-15 relative error 4.617425789529934e-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] 3.8299999999999623 y[1] (analytic) -0.21364519033655854 y[1] (numeric) -0.21364519033656793 absolute error 9.381384558082573e-15 relative error 4.391104963937608e-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] 3.839999999999962 y[1] (analytic) -0.23131090649686437 y[1] (numeric) -0.23131090649687416 absolute error 9.797718192317006e-15 relative error 4.235735504520978e-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] 3.849999999999962 y[1] (analytic) -0.24895173397908588 y[1] (numeric) -0.24895173397909606 absolute error 1.0186296250935811e-14 relative error 4.091675156515097e-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] 3.8599999999999617 y[1] (analytic) -0.266562034856101 y[1] (numeric) -0.2665620348561116 absolute error 1.0547118733938987e-14 relative error 3.956722021435899e-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] 3.8699999999999615 y[1] (analytic) -0.28413616787489115 y[1] (numeric) -0.2841361678749021 absolute error 1.0935696792557792e-14 relative error 3.848752122740291e-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] 3.8799999999999613 y[1] (analytic) -0.3016684903973806 y[1] (numeric) -0.30166849039739185 absolute error 1.1268763699945339e-14 relative error 3.73547919608749e-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] 3.889999999999961 y[1] (analytic) -0.3191533603453966 y[1] (numeric) -0.3191533603454082 absolute error 1.1601830607332886e-14 relative error 3.6351898644517055e-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] 3.899999999999961 y[1] (analytic) -0.33658513814904256 y[1] (numeric) -0.3365851381490546 absolute error 1.2045919817182948e-14 relative error 3.57886265668953e-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] 3.9099999999999606 y[1] (analytic) -0.35395818869777396 y[1] (numeric) -0.35395818869778634 absolute error 1.2378986724570495e-14 relative error 3.497301975160759e-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] 3.9199999999999604 y[1] (analytic) -0.3712668832934648 y[1] (numeric) -0.37126688329347757 absolute error 1.27675647831893e-14 relative error 3.4389182977834535e-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] 3.92999999999996 y[1] (analytic) -0.38850560160475267 y[1] (numeric) -0.3885056016047657 absolute error 1.304512053934559e-14 relative error 3.3577689705017643e-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] 3.93999999999996 y[1] (analytic) -0.4056687336219451 y[1] (numeric) -0.40566873362195854 absolute error 1.3433698597964394e-14 relative error 3.3114946961832315e-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] 3.9499999999999598 y[1] (analytic) -0.422750681611774 y[1] (numeric) -0.42275068161178775 absolute error 1.3766765505351941e-14 relative error 3.2564738755393468e-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] 3.9599999999999596 y[1] (analytic) -0.4397458620712787 y[1] (numeric) -0.43974586207129285 absolute error 1.4155343563970746e-14 relative error 3.2189827773015627e-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] 3.9699999999999593 y[1] (analytic) -0.4566487076801026 y[1] (numeric) -0.45664870768011706 absolute error 1.4488410471358293e-14 relative error 3.172769401880778e-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] 3.979999999999959 y[1] (analytic) -0.4734536692504835 y[1] (numeric) -0.47345366925049825 absolute error 1.4765966227514582e-14 relative error 3.118777440438963e-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] 3.989999999999959 y[1] (analytic) -0.490155217674222 y[1] (numeric) -0.4901552176742372 absolute error 1.5210055437364645e-14 relative error 3.103109971885252e-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] 3.9999999999999587 y[1] (analytic) -0.5067478458659096 y[1] (numeric) -0.5067478458659251 absolute error 1.554312234475219e-14 relative error 3.0672300773558795e-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 0.0024074872234569385 Order of pole (three term test) -0.893459801517838 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.009999999999959 y[1] (analytic) -0.5232260707016992 y[1] (numeric) -0.5232260707017147 absolute error 1.5432100042289676e-14 relative error 2.949413438362057e-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 0.012045322281575411 Order of pole (three term test) -0.9079524926907776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.019999999999959 y[1] (analytic) -0.539584434952901 y[1] (numeric) -0.5395844349529169 absolute error 1.587618925213974e-14 relative error 2.9422993369935757e-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 0.021663806637694245 Order of pole (three term test) -0.9417546615260043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0299999999999585 y[1] (analytic) -0.5558175092136945 y[1] (numeric) -0.5558175092137108 absolute error 1.6209256159527285e-14 relative error 2.9162910291290106e-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 0.03124752668158041 Order of pole (three term test) -0.9948120285226945 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039999999999958 y[1] (analytic) -0.5719198938222336 y[1] (numeric) -0.5719198938222503 absolute error 1.6653345369377348e-14 relative error 2.9118318053390893e-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 0.04078112482373293 Order of pole (three term test) -1.0670393953198327 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049999999999958 y[1] (analytic) -0.5878862207744409 y[1] (numeric) -0.5878862207744577 absolute error 1.687538997430238e-14 relative error 2.8705197328952362e-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 0.0502493242519996 Order of pole (three term test) -1.158320783059859 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.059999999999958 y[1] (analytic) -0.6037111556297756 y[1] (numeric) -0.6037111556297929 absolute error 1.7319479184152442e-14 relative error 2.8688353731156776e-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 0.059636953555099084 Order of pole (three term test) -1.2685096207568503 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.069999999999958 y[1] (analytic) -0.6193893994082729 y[1] (numeric) -0.6193893994082904 absolute error 1.7541523789077473e-14 relative error 2.8320671625693923e-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 0.0689289711724391 Order of pole (three term test) -1.397428983349838 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.079999999999957 y[1] (analytic) -0.6349156904781407 y[1] (numeric) -0.6349156904781587 absolute error 1.7985612998927536e-14 relative error 2.8327561074105725e-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 0.07811048962993067 Order of pole (three term test) -1.5448718790375078 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.089999999999957 y[1] (analytic) -0.6502848064332213 y[1] (numeric) -0.6502848064332395 absolute error 1.8207657603852567e-14 relative error 2.7999512557767777e-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 0.08716679952188292 Order of pole (three term test) -1.710601585406982 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.099999999999957 y[1] (analytic) -0.6654915659596081 y[1] (numeric) -0.6654915659596267 absolute error 1.8540724511240114e-14 relative error 2.786019456836428e-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 0.09608339319951642 Order of pole (three term test) -1.8943520337867925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.109999999999957 y[1] (analytic) -0.680530830690729 y[1] (numeric) -0.6805308306907478 absolute error 1.887379141862766e-14 relative error 2.773392558786945e-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 0.10484598812715673 Order of pole (three term test) -2.095828241172659 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.119999999999957 y[1] (analytic) -0.6953975070501971 y[1] (numeric) -0.6953975070502163 absolute error 1.9206858326015208e-14 relative error 2.761997006214284e-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 0.11344054986776532 Order of pole (three term test) -2.31470678899453 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.129999999999956 y[1] (analytic) -0.710086548081744 y[1] (numeric) -0.7100865480817635 absolute error 1.9539925233402755e-14 relative error 2.751766708746798e-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 0.12185331466012372 Order of pole (three term test) -2.55063634791452 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.139999999999956 y[1] (analytic) -0.7245929552655472 y[1] (numeric) -0.724592955265567 absolute error 1.9761969838327786e-14 relative error 2.72732017261822e-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 0.13007081155071717 Order of pole (three term test) -2.8032382477682867 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.149999999999956 y[1] (analytic) -0.7389117803202727 y[1] (numeric) -0.7389117803202928 absolute error 2.0095036745715333e-14 relative error 2.7195447793517886e-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 0.13807988404415303 Order of pole (three term test) -3.07210709168685 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.159999999999956 y[1] (analytic) -0.7530381269901552 y[1] (numeric) -0.7530381269901756 absolute error 2.042810365310288e-14 relative error 2.712758215145453e-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 0.14586771123680678 Order of pole (three term test) -3.356811413362367 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1699999999999555 y[1] (analytic) -0.7669671528164448 y[1] (numeric) -0.7669671528164655 absolute error 2.0761170560490427e-14 relative error 2.7069178235667043e-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 0.15342182839930074 Order of pole (three term test) -3.6568943763497166 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.179999999999955 y[1] (analytic) -0.780694070892554 y[1] (numeric) -0.780694070892575 absolute error 2.098321516541546e-14 relative error 2.6877641252514845e-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 0.16073014697440022 Order of pole (three term test) -3.9718745142264757 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.189999999999955 y[1] (analytic) -0.7942141516022431 y[1] (numeric) -0.7942141516022644 absolute error 2.1316282072803006e-14 relative error 2.683946392770723e-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 0.16778097395793562 Order of pole (three term test) -4.301246510366462 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.199999999999955 y[1] (analytic) -0.807522724340189 y[1] (numeric) -0.8075227243402106 absolute error 2.1538326677728037e-14 relative error 2.667209977939207e-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 0.1745630306314528 Order of pole (three term test) -4.644482016017557 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.209999999999955 y[1] (analytic) -0.8206151792142878 y[1] (numeric) -0.8206151792143096 absolute error 2.1760371282653068e-14 relative error 2.6517144495776827e-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 0.181065470616424 Order of pole (three term test) -5.001030505311943 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2199999999999545 y[1] (analytic) -0.8334869687290472 y[1] (numeric) -0.8334869687290692 absolute error 2.2093438190040615e-14 relative error 2.6507238887885754e-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 0.18727789722104293 Order of pole (three term test) -5.370320165777375 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.229999999999954 y[1] (analytic) -0.8461336094494316 y[1] (numeric) -0.8461336094494539 absolute error 2.2315482794965646e-14 relative error 2.6373474053921634e-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 0.19319038005186187 Order of pole (three term test) -5.751758822861188 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.239999999999954 y[1] (analytic) -0.8585506836445302 y[1] (numeric) -0.8585506836445528 absolute error 2.2537527399890678e-14 relative error 2.6250666185739124e-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 0.19879347086380236 Order of pole (three term test) -6.144734896924256 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.249999999999954 y[1] (analytic) -0.8707338409104222 y[1] (numeric) -0.870733840910445 absolute error 2.2870594307278225e-14 relative error 2.626588428372691e-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 0.20407821862339773 Order of pole (three term test) -6.548618391111301 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.259999999999954 y[1] (analytic) -0.8826787997716248 y[1] (numeric) -0.8826787997716478 absolute error 2.298161660974074e-14 relative error 2.6036216816000074e-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 0.20903618376147798 Order of pole (three term test) -6.96276190845507 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.269999999999953 y[1] (analytic) -0.8943813492605128 y[1] (numeric) -0.8943813492605361 absolute error 2.3314683517128287e-14 relative error 2.606794465963003e-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 0.21365945159290645 Order of pole (three term test) -7.386501696526915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.279999999999953 y[1] (analytic) -0.9058373504741102 y[1] (numeric) -0.9058373504741337 absolute error 2.353672812205332e-14 relative error 2.5983393276656485e-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 0.2179406448824045 Order of pole (three term test) -7.819158717904122 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.289999999999953 y[1] (analytic) -0.9170427381076556 y[1] (numeric) -0.9170427381076794 absolute error 2.3869795029440866e-14 relative error 2.6029097704537614e-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 0.22187293553695833 Order of pole (three term test) -8.260039744684851 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.299999999999953 y[1] (analytic) -0.9279935219643617 y[1] (numeric) -0.9279935219643857 absolute error 2.398081733190338e-14 relative error 2.5841578377768387e-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 0.22545005540678767 Order of pole (three term test) -8.708438475246183 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3099999999999525 y[1] (analytic) -0.9386857884407844 y[1] (numeric) -0.9386857884408086 absolute error 2.4202861936828413e-14 relative error 2.5783773691759916e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.919376586408988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.22866630617836606 Order of pole (three term test) -9.163636671407579 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.319999999999952 y[1] (analytic) -0.949115701987238 y[1] (numeric) -0.9491157019872626 absolute error 2.453592884421596e-14 relative error 2.5851356997722365e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.213942482775075 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23151656834451567 Order of pole (three term test) -9.6249053141332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.329999999999952 y[1] (analytic) -0.9592795065426927 y[1] (numeric) -0.9592795065427173 absolute error 2.4646951146678475e-14 relative error 2.569319054412799e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.517559667097799 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23399630923814593 Order of pole (three term test) -10.091505775879908 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.339999999999952 y[1] (analytic) -0.9691735269436021 y[1] (numeric) -0.9691735269436269 absolute error 2.475797344914099e-14 relative error 2.5545449561770477e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.8309056746626835 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23610159011777376 Order of pole (three term test) -10.562691007675346 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.349999999999952 y[1] (analytic) -0.9787941703061228 y[1] (numeric) -0.9787941703061479 absolute error 2.5091040356528538e-14 relative error 2.5634644256903563e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.154718216331169 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23782907229454056 Order of pole (three term test) -11.037706738990895 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3599999999999515 y[1] (analytic) -0.9881379273811877 y[1] (numeric) -0.9881379273812128 absolute error 2.5091040356528538e-14 relative error 2.539224501080134e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.489802412137587 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2391760222920278 Order of pole (three term test) -11.515792688458136 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.369999999999951 y[1] (analytic) -0.9972013738819112 y[1] (numeric) -0.9972013738819366 absolute error 2.5424107263916085e-14 relative error 2.549545952282935e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.837039072816436 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2401403160317696 Order of pole (three term test) -11.996183783464648 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.379999999999951 y[1] (analytic) -1.0059811717828162 y[1] (numeric) -1.005981171782842 absolute error 2.5757174171303632e-14 relative error 2.5604032057236566e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.19739421210347 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24072044203895676 Order of pole (three term test) -12.478111386655561 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.389999999999951 y[1] (analytic) -1.014474070590372 y[1] (numeric) -1.0144740705903978 absolute error 2.5757174171303632e-14 relative error 2.538968212003119e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.57193000995156 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2409155036644294 Order of pole (three term test) -12.96080452736092 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399999999999951 y[1] (analytic) -1.0226769085843557 y[1] (numeric) -1.0226769085843814 absolute error 2.5757174171303632e-14 relative error 2.5186032807720373e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.57941921640377 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24072522032065047 Order of pole (three term test) -13.443491135966122 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.40999999999995 y[1] (analytic) -1.03058661402955 y[1] (numeric) -1.030586614029576 absolute error 2.5979218776228663e-14 relative error 2.5208185728951995e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.203114381862353 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24014992773094848 Order of pole (three term test) -13.925399279242923 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.41999999999995 y[1] (analytic) -1.0382002063573086 y[1] (numeric) -1.0382002063573348 absolute error 2.6201263381153694e-14 relative error 2.5237197238753223e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.840401206689386 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2391905771929039 Order of pole (three term test) -14.405758394662335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.42999999999995 y[1] (analytic) -1.045514797316521 y[1] (numeric) -1.0455147973165473 absolute error 2.6201263381153694e-14 relative error 2.506063371690518e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.490281717344237 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23784873385832997 Order of pole (three term test) -14.883800521716914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.43999999999995 y[1] (analytic) -1.0525275920935324 y[1] (numeric) -1.0525275920935586 absolute error 2.6201263381153694e-14 relative error 2.4893659394750888e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.15184552774909 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23612657403386686 Order of pole (three term test) -15.358761528290351 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4499999999999496 y[1] (analytic) -1.059235890400573 y[1] (numeric) -1.0592358904005994 absolute error 2.6423307986078726e-14 relative error 2.4945631304171707e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.824260097969883 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23402688150775364 Order of pole (three term test) -15.82988233012518 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.459999999999949 y[1] (analytic) -1.0656370875322732 y[1] (numeric) -1.0656370875322998 absolute error 2.6645352591003757e-14 relative error 2.500415282345998e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.506762248017288 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23155304290988335 Order of pole (three term test) -16.296410101454974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.469999999999949 y[1] (analytic) -1.0717286753898425 y[1] (numeric) -1.0717286753898694 absolute error 2.6867397195928788e-14 relative error 2.5069215570028247e-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 0.22870904211375476 Order of pole (three term test) -16.75759947488684 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.479999999999949 y[1] (analytic) -1.0775082434725098 y[1] (numeric) -1.0775082434725367 absolute error 2.6867397195928788e-14 relative error 2.4934748628319194e-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 0.2254994536904308 Order of pole (three term test) -17.212713728641862 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.489999999999949 y[1] (analytic) -1.0829734798358295 y[1] (numeric) -1.0829734798358566 absolute error 2.708944180085382e-14 relative error 2.501394752986968e-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 0.2219294354260848 Order of pole (three term test) -17.661025959285514 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4999999999999485 y[1] (analytic) -1.0881221720164724 y[1] (numeric) -1.0881221720164995 absolute error 2.708944180085382e-14 relative error 2.4895588471148008e-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 0.2180047199161548 Order of pole (three term test) -18.10182023810825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.509999999999948 y[1] (analytic) -1.0929522079231302 y[1] (numeric) -1.0929522079231575 absolute error 2.731148640577885e-14 relative error 2.4988728882919033e-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 0.2137316052505503 Order of pole (three term test) -18.534392749345983 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.519999999999948 y[1] (analytic) -1.0974615766931786 y[1] (numeric) -1.097461576693206 absolute error 2.7533531010703882e-14 relative error 2.5088378122236106e-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 0.20911694480573514 Order of pole (three term test) -18.958052908463724 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.529999999999948 y[1] (analytic) -1.1016483695147492 y[1] (numeric) -1.1016483695147767 absolute error 2.7533531010703882e-14 relative error 2.499303023779881e-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 0.2041681361608727 Order of pole (three term test) -19.372124458760677 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.539999999999948 y[1] (analytic) -1.105510780413882 y[1] (numeric) -1.1055107804139095 absolute error 2.7533531010703882e-14 relative error 2.490571010116777e-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 0.19889310915654018 Order of pole (three term test) -19.775946544593115 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.549999999999947 y[1] (analytic) -1.1090471070064354 y[1] (numeric) -1.1090471070064631 absolute error 2.7755575615628914e-14 relative error 2.5026507386640573e-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 0.19330031311580476 Order of pole (three term test) -20.168874759551922 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.559999999999947 y[1] (analytic) -1.1122557512144482 y[1] (numeric) -1.1122557512144762 absolute error 2.7977620220553945e-14 relative error 2.5153945205503124e-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 0.18739870324871538 Order of pole (three term test) -20.550282167973936 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.569999999999947 y[1] (analytic) -1.1151352199466569 y[1] (numeric) -1.1151352199466849 absolute error 2.7977620220553945e-14 relative error 2.508899344233094e-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 0.1811977262624669 Order of pole (three term test) -20.919560298211543 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.579999999999947 y[1] (analytic) -1.1176841257428887 y[1] (numeric) -1.1176841257429164 absolute error 2.7755575615628914e-14 relative error 2.4833112483529882e-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 0.17470730520068303 Order of pole (three term test) -21.276120106131742 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.589999999999947 y[1] (analytic) -1.1199011873820603 y[1] (numeric) -1.1199011873820883 absolute error 2.7977620220553945e-14 relative error 2.4982222124396436e-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 0.16793782353638817 Order of pole (three term test) -21.61939290736506 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.599999999999946 y[1] (analytic) -1.1217852304535312 y[1] (numeric) -1.1217852304535592 absolute error 2.7977620220553945e-14 relative error 2.4940264375956133e-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 0.16090010854434322 Order of pole (three term test) -21.948831276875968 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.609999999999946 y[1] (analytic) -1.123335187891562 y[1] (numeric) -1.12333518789159 absolute error 2.7977620220553945e-14 relative error 2.4905852253294395e-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 0.15360541397946664 Order of pole (three term test) -22.263909914478987 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.619999999999946 y[1] (analytic) -1.1245501004726584 y[1] (numeric) -1.1245501004726866 absolute error 2.8199664825478976e-14 relative error 2.5076397053031614e-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 0.14606540208907343 Order of pole (three term test) -22.56412647498003 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.629999999999946 y[1] (analytic) -1.1254291172755795 y[1] (numeric) -1.1254291172756077 absolute error 2.8199664825478976e-14 relative error 2.5056811124404056e-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 0.1382921249876288 Order of pole (three term test) -22.84900236167842 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6399999999999455 y[1] (analytic) -1.1259714961038123 y[1] (numeric) -1.1259714961038405 absolute error 2.8199664825478976e-14 relative error 2.504474129501323e-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 0.13029800542363162 Order of pole (three term test) -23.118083482023568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.649999999999945 y[1] (analytic) -1.1261766038703243 y[1] (numeric) -1.1261766038703525 absolute error 2.8199664825478976e-14 relative error 2.5040179958068176e-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 0.1220958169691167 Order of pole (three term test) -23.370940964279658 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.659999999999945 y[1] (analytic) -1.1260439169444194 y[1] (numeric) -1.1260439169444478 absolute error 2.842170943040401e-14 relative error 2.5240320561855032e-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 0.11369866366309099 Order of pole (three term test) -23.607171834112812 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.669999999999945 y[1] (analytic) -1.125573021460541 y[1] (numeric) -1.1255730214605693 absolute error 2.8199664825478976e-14 relative error 2.5053607618355274e-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 0.10511995914099481 Order of pole (three term test) -23.8263996500777 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.679999999999945 y[1] (analytic) -1.1247636135888697 y[1] (numeric) -1.1247636135888979 absolute error 2.8199664825478976e-14 relative error 2.5071636817535497e-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 0.09637340528301093 Order of pole (three term test) -24.028275097044222 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.689999999999944 y[1] (analytic) -1.1236154997675911 y[1] (numeric) -1.1236154997676193 absolute error 2.8199664825478976e-14 relative error 2.50972550942131e-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 0.08747297041472667 Order of pole (three term test) -24.212476536669605 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.699999999999944 y[1] (analytic) -1.122128596896712 y[1] (numeric) -1.1221285968967403 absolute error 2.8199664825478976e-14 relative error 2.5130510801940338e-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 0.07843286709428195 Order of pole (three term test) -24.378710514087363 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.709999999999944 y[1] (analytic) -1.1203029324933202 y[1] (numeric) -1.1203029324933484 absolute error 2.8199664825478976e-14 relative error 2.5171463902819978e-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 0.06926752952072047 Order of pole (three term test) -24.526712220051536 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.719999999999944 y[1] (analytic) -1.1181386448082016 y[1] (numeric) -1.1181386448082298 absolute error 2.8199664825478976e-14 relative error 2.522018620536648e-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 0.059991590598792104 Order of pole (three term test) -24.656245907842248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y[1] (analytic) -1.1156359829037372 y[1] (numeric) -1.1156359829037652 absolute error 2.7977620220553945e-14 relative error 2.5077732028447845e-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 0.0506198586959347 Order of pole (three term test) -24.767105264307553 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y[1] (analytic) -1.112795306693019 y[1] (numeric) -1.112795306693047 absolute error 2.7977620220553945e-14 relative error 2.5141748938263617e-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 0.041167294127592916 Order of pole (three term test) -24.85911373448577 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y[1] (analytic) -1.1096170869401383 y[1] (numeric) -1.1096170869401663 absolute error 2.7977620220553945e-14 relative error 2.5213761170265113e-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 0.031648985407409784 Order of pole (three term test) -24.932124799322747 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y[1] (analytic) -1.1061019052216152 y[1] (numeric) -1.1061019052216428 absolute error 2.7533531010703882e-14 relative error 2.4892399950425317e-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 0.022080125299153375 Order of pole (three term test) -24.98602220606887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y[1] (analytic) -1.1022504538489462 y[1] (numeric) -1.1022504538489737 absolute error 2.7533531010703882e-14 relative error 2.4979378247983114e-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 0.01247598670751598 Order of pole (three term test) -25.02072015101209 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y[1] (analytic) -1.0980635357522734 y[1] (numeric) -1.0980635357523008 absolute error 2.731148640577885e-14 relative error 2.487240994399108e-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 0.0028518984451441137 Order of pole (three term test) -25.036163414274355 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y[1] (analytic) -1.093542064325179 y[1] (numeric) -1.0935420643252063 absolute error 2.731148640577885e-14 relative error 2.4975249966843e-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] 4.799999999999942 y[1] (analytic) -1.0886870632306336 y[1] (numeric) -1.088687063230661 absolute error 2.731148640577885e-14 relative error 2.5086627120132348e-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] 4.809999999999942 y[1] (analytic) -1.083499666168136 y[1] (numeric) -1.0834996661681633 absolute error 2.731148640577885e-14 relative error 2.520673264475256e-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] 4.819999999999942 y[1] (analytic) -1.0779811166020983 y[1] (numeric) -1.0779811166021254 absolute error 2.708944180085382e-14 relative error 2.5129792520153214e-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] 4.8299999999999415 y[1] (analytic) -1.072132767451543 y[1] (numeric) -1.0721327674515702 absolute error 2.708944180085382e-14 relative error 2.526687237182887e-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] 4.839999999999941 y[1] (analytic) -1.0659560807411985 y[1] (numeric) -1.0659560807412252 absolute error 2.6645352591003757e-14 relative error 2.4996670193462624e-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] 4.849999999999941 y[1] (analytic) -1.0594526272140792 y[1] (numeric) -1.0594526272141058 absolute error 2.6645352591003757e-14 relative error 2.515011233779275e-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] 4.859999999999941 y[1] (analytic) -1.0526240859056757 y[1] (numeric) -1.0526240859057023 absolute error 2.6645352591003757e-14 relative error 2.531326515113717e-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] 4.869999999999941 y[1] (analytic) -1.0454722436798651 y[1] (numeric) -1.0454722436798916 absolute error 2.6423307986078726e-14 relative error 2.5274040650829396e-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] 4.87999999999994 y[1] (analytic) -1.0379989947266894 y[1] (numeric) -1.0379989947267159 absolute error 2.6423307986078726e-14 relative error 2.5456005372178727e-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] 4.88999999999994 y[1] (analytic) -1.0302063400221533 y[1] (numeric) -1.0302063400221793 absolute error 2.5979218776228663e-14 relative error 2.5217490678294614e-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] 4.89999999999994 y[1] (analytic) -1.0220963867502044 y[1] (numeric) -1.0220963867502304 absolute error 2.5979218776228663e-14 relative error 2.5417582052932023e-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] 4.90999999999994 y[1] (analytic) -1.013671347687086 y[1] (numeric) -1.0136713476871118 absolute error 2.5757174171303632e-14 relative error 2.5409788123215956e-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] 4.9199999999999395 y[1] (analytic) -1.0049335405482451 y[1] (numeric) -1.0049335405482709 absolute error 2.5757174171303632e-14 relative error 2.563072395538884e-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] 4.929999999999939 y[1] (analytic) -0.995885387298018 y[1] (numeric) -0.9958853872980433 absolute error 2.531308496145357e-14 relative error 2.541766882445344e-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] 4.939999999999939 y[1] (analytic) -0.9865294134223039 y[1] (numeric) -0.986529413422329 absolute error 2.5091040356528538e-14 relative error 2.543364649360719e-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] 4.949999999999939 y[1] (analytic) -0.9768682471644742 y[1] (numeric) -0.976868247164499 absolute error 2.4868995751603507e-14 relative error 2.5457881166462302e-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] 4.959999999999939 y[1] (analytic) -0.9669046187247592 y[1] (numeric) -0.9669046187247838 absolute error 2.4646951146678475e-14 relative error 2.5490571323555255e-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] 4.9699999999999385 y[1] (analytic) -0.956641359423381 y[1] (numeric) -0.9566413594234054 absolute error 2.4424906541753444e-14 relative error 2.553193660419997e-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] 4.979999999999938 y[1] (analytic) -0.9460814008277074 y[1] (numeric) -0.9460814008277317 absolute error 2.4313884239290928e-14 relative error 2.569956899905146e-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] 4.989999999999938 y[1] (analytic) -0.93522777384372 y[1] (numeric) -0.9352277738437439 absolute error 2.3869795029440866e-14 relative error 2.552297493405023e-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] 4.999999999999938 y[1] (analytic) -0.9240836077720962 y[1] (numeric) -0.92408360777212 absolute error 2.375877272697835e-14 relative error 2.571063108051355e-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 Finished! diff ( y , x , 1 ) = sin(2.0 * x + 3.0) + cos(1.5 * x - 2.0); Iterations 491 Total Elapsed Time 0.0 Seconds Elapsed Time(since restart) 0.0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.40816326530484%