##############ECHO OF PROBLEM################# ##############temp/sub_lin_sinpostode.ode################# diff ( y , x , 1 ) = (0.1 * x + 1.0) - sin(x); ! #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(x) + (0.05 * x * x) + x) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 desired_abs_gbl_error 1.0e-10 range 4.9 estimated_steps 4900000.000000001 step_error 2.040816326530612e-17 est_needed_step_err 2.040816326530612e-17 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.467208605532302e-183 estimated_step_error 2.467208605532302e-183 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.655715664606566e-175 estimated_step_error 1.655715664606566e-175 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.1111319694584357e-167 estimated_step_error 1.1111319694584357e-167 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.456680367024187e-160 estimated_step_error 7.456680367024187e-160 best_h 1.6e-05 opt_iter 5 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.004093412037817e-152 estimated_step_error 5.004093412037817e-152 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.3581901424816246e-144 estimated_step_error 3.3581901424816246e-144 best_h 6.4e-05 opt_iter 7 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.2536431215809203e-136 estimated_step_error 2.2536431215809203e-136 best_h 0.000128 opt_iter 8 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.512394117654307e-128 estimated_step_error 1.512394117654307e-128 best_h 0.000256 opt_iter 9 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.0149502701580557e-120 estimated_step_error 1.0149502701580557e-120 best_h 0.000512 opt_iter 10 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.811212724408108e-113 estimated_step_error 6.811212724408108e-113 best_h 0.001024 opt_iter 11 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.5709231343600255e-105 estimated_step_error 4.5709231343600255e-105 best_h 0.002048 opt_iter 12 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.067488750234022e-97 estimated_step_error 3.067488750234022e-97 best_h 0.004096 opt_iter 13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.0585490116180908e-89 estimated_step_error 2.0585490116180908e-89 best_h 0.008192 opt_iter 14 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.3814583197402446e-81 estimated_step_error 1.3814583197402446e-81 best_h 0.016384 opt_iter 15 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 9.270668118428106e-74 estimated_step_error 9.270668118428106e-74 best_h 0.032768 opt_iter 16 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.221249002016116e-66 estimated_step_error 6.221249002016116e-66 best_h 0.065536 opt_iter 17 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.174750875079242e-58 estimated_step_error 4.174750875079242e-58 best_h 0.131072 opt_iter 18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.801274754399603e-50 estimated_step_error 2.801274754399603e-50 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 1.0955041652780257 y[1] (numeric) 1.0955041652780257 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) 1.1045610979566969 y[1] (numeric) 1.1045610979566969 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 1.1135286358538663 y[1] (numeric) 1.1135286358538663 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] 0.13 y[1] (analytic) 1.1224068937147882 y[1] (numeric) 1.1224068937147882 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) 1.1311959962126372 y[1] (numeric) 1.1311959962126372 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 1.1398960779360423 y[1] (numeric) 1.1398960779360423 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] 0.16000000000000003 y[1] (analytic) 1.148507283375627 y[1] (numeric) 1.148507283375627 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] 0.17000000000000004 y[1] (analytic) 1.1570297669095608 y[1] (numeric) 1.1570297669095606 absolute error 2.220446049250313e-16 relative error 1.9190915504111436e-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) 1.1654636927881215 y[1] (numeric) 1.1654636927881212 absolute error 2.220446049250313e-16 relative error 1.9052039655893295e-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] 0.19000000000000006 y[1] (analytic) 1.1738092351172704 y[1] (numeric) 1.1738092351172702 absolute error 2.220446049250313e-16 relative error 1.8916583570996336e-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) 1.1820665778412418 y[1] (numeric) 1.1820665778412416 absolute error 2.220446049250313e-16 relative error 1.8784441510100217e-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) 1.1902359147241484 y[1] (numeric) 1.1902359147241481 absolute error 2.220446049250313e-16 relative error 1.8655512086147463e-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) 1.1983174493306055 y[1] (numeric) 1.1983174493306055 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 1.206311395005375 y[1] (numeric) 1.2063113950053748 absolute error 2.220446049250313e-16 relative error 1.840690603142665e-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) 1.2142179748520296 y[1] (numeric) 1.2142179748520294 absolute error 2.220446049250313e-16 relative error 1.8287046438436287e-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) 1.2220374217106449 y[1] (numeric) 1.2220374217106447 absolute error 2.220446049250313e-16 relative error 1.8170033174123797e-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) 1.2297699781345135 y[1] (numeric) 1.229769978134513 absolute error 4.440892098500626e-16 relative error 3.6111567020339774e-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) 1.2374158963658908 y[1] (numeric) 1.2374158963658903 absolute error 4.440892098500626e-16 relative error 3.588843582455079e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 1.244975438310771 y[1] (numeric) 1.2449754383107707 absolute error 2.220446049250313e-16 relative error 1.7835259884830313e-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) 1.2524488755126972 y[1] (numeric) 1.252448875512697 absolute error 2.220446049250313e-16 relative error 1.772883582446717e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 1.2598364891256062 y[1] (numeric) 1.2598364891256058 absolute error 4.440892098500626e-16 relative error 3.524974976381929e-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) 1.2671385698857136 y[1] (numeric) 1.2671385698857132 absolute error 4.440892098500626e-16 relative error 3.5046617663142885e-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] 0.3200000000000002 y[1] (analytic) 1.274355418082441 y[1] (numeric) 1.2743554180824406 absolute error 4.440892098500626e-16 relative error 3.4848143896802066e-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) 1.2814873435283871 y[1] (numeric) 1.2814873435283867 absolute error 4.440892098500626e-16 relative error 3.465420178301006e-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) 1.2885346655283465 y[1] (numeric) 1.2885346655283458 absolute error 6.661338147750939e-16 relative error 5.169700378235107e-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) 1.295497712847379 y[1] (numeric) 1.2954977128473786 absolute error 4.440892098500626e-16 relative error 3.4279428319020136e-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) 1.302376823677935 y[1] (numeric) 1.3023768236779345 absolute error 4.440892098500626e-16 relative error 3.409836552495974e-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) 1.3091723456060347 y[1] (numeric) 1.309172345606034 absolute error 6.661338147750939e-16 relative error 5.088205666815632e-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) 1.3158846355765104 y[1] (numeric) 1.31588463557651 absolute error 4.440892098500626e-16 relative error 3.3748339166183815e-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) 1.3225140598573133 y[1] (numeric) 1.3225140598573126 absolute error 6.661338147750939e-16 relative error 5.036875107754722e-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] 0.40000000000000024 y[1] (analytic) 1.3290609940028852 y[1] (numeric) 1.3290609940028846 absolute error 6.661338147750939e-16 relative error 5.0120635379481145e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 1.3355258228166051 y[1] (numeric) 1.3355258228166047 absolute error 4.440892098500626e-16 relative error 3.3252012223431574e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 1.3419089403123086 y[1] (numeric) 1.341908940312308 absolute error 6.661338147750939e-16 relative error 4.964076136343958e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 1.3482107496748852 y[1] (numeric) 1.3482107496748847 absolute error 4.440892098500626e-16 relative error 3.29391536120857e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 1.3544316632199636 y[1] (numeric) 1.3544316632199631 absolute error 4.440892098500626e-16 relative error 3.278786386271459e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 1.3605721023526771 y[1] (numeric) 1.3605721023526767 absolute error 4.440892098500626e-16 relative error 3.263988796199418e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 1.3666324975255253 y[1] (numeric) 1.366632497525525 absolute error 2.220446049250313e-16 relative error 1.6247572432755214e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 1.3726132881953292 y[1] (numeric) 1.3726132881953288 absolute error 4.440892098500626e-16 relative error 3.2353556072150354e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 1.3785149227792843 y[1] (numeric) 1.3785149227792841 absolute error 2.220446049250313e-16 relative error 1.6107522759155734e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 1.3843378586101216 y[1] (numeric) 1.3843378586101214 absolute error 2.220446049250313e-16 relative error 1.6039769738578458e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 1.390082561890373 y[1] (numeric) 1.3900825618903725 absolute error 4.440892098500626e-16 relative error 3.194696646263556e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 1.3957495076457516 y[1] (numeric) 1.3957495076457511 absolute error 4.440892098500626e-16 relative error 3.181725713800321e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 1.4013391796776502 y[1] (numeric) 1.4013391796776498 absolute error 4.440892098500626e-16 relative error 3.1690344228598274e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 1.4068520705147611 y[1] (numeric) 1.406852070514761 absolute error 2.220446049250313e-16 relative error 1.5783081219320107e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 1.4122886813638242 y[1] (numeric) 1.412288681363824 absolute error 2.220446049250313e-16 relative error 1.5722324185916895e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 1.417649522059506 y[1] (numeric) 1.4176495220595056 absolute error 4.440892098500626e-16 relative error 3.1325740455575163e-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) 1.4229351110134163 y[1] (numeric) 1.4229351110134159 absolute error 4.440892098500626e-16 relative error 3.120937886856848e-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) 1.428145975162269 y[1] (numeric) 1.4281459751622685 absolute error 4.440892098500626e-16 relative error 3.109550547167311e-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) 1.4332826499151872 y[1] (numeric) 1.4332826499151867 absolute error 4.440892098500626e-16 relative error 3.098406374181262e-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) 1.4383456791001636 y[1] (numeric) 1.4383456791001632 absolute error 4.440892098500626e-16 relative error 3.0874998708786545e-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) 1.4433356149096785 y[1] (numeric) 1.443335614909678 absolute error 4.440892098500626e-16 relative error 3.0768256894835434e-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) 1.4482530178454796 y[1] (numeric) 1.4482530178454793 absolute error 2.220446049250313e-16 relative error 1.5331893128409294e-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) 1.4530984566625342 y[1] (numeric) 1.4530984566625338 absolute error 4.440892098500626e-16 relative error 3.0561536130871916e-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) 1.457872508312152 y[1] (numeric) 1.4578725083121518 absolute error 2.220446049250313e-16 relative error 1.523072858971069e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.582294584819396 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 1.4625757578842928 y[1] (numeric) 1.4625757578842924 absolute error 4.440892098500626e-16 relative error 3.0363501340434177e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.890876444419295 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 1.467208798549056 y[1] (numeric) 1.4672087985490556 absolute error 4.440892098500626e-16 relative error 3.0267621778797185e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.20408798267353 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 1.4717722314973654 y[1] (numeric) 1.471772231497365 absolute error 4.440892098500626e-16 relative error 3.0173772839717936e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.522098256873289 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 1.4762666658808494 y[1] (numeric) 1.4762666658808492 absolute error 2.220446049250313e-16 relative error 1.5040955002024864e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.845083494565142 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 1.480692718750928 y[1] (numeric) 1.4806927187509278 absolute error 2.220446049250313e-16 relative error 1.4995994922723878e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.173227502851304 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 1.485051014997107 y[1] (numeric) 1.4850510149971063 absolute error 6.661338147750939e-16 relative error 4.48559549839028e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.50672210538052 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 1.4893421872844885 y[1] (numeric) 1.489342187284488 absolute error 4.440892098500626e-16 relative error 2.9817809073129706e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.84576760926161 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 1.4935668759905085 y[1] (numeric) 1.4935668759905079 absolute error 6.661338147750939e-16 relative error 4.460020006357768e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.190573304338834 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 1.4977257291408952 y[1] (numeric) 1.4977257291408947 absolute error 4.440892098500626e-16 relative error 2.96509034471081e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.541357997496704 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 1.5018194023448705 y[1] (numeric) 1.50181940234487 absolute error 4.440892098500626e-16 relative error 2.957008074051264e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.89835058491631 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 1.5058485587295882 y[1] (numeric) 1.5058485587295876 absolute error 6.661338147750939e-16 relative error 4.423644136811997e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.261790665486036 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 1.5098138688738212 y[1] (numeric) 1.5098138688738205 absolute error 6.661338147750939e-16 relative error 4.41202606829918e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.631929198881462 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 1.5137160107409053 y[1] (numeric) 1.513716010740905 absolute error 4.440892098500626e-16 relative error 2.933768333683001e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.00902921217608 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 1.5175556696109436 y[1] (numeric) 1.5175556696109431 absolute error 4.440892098500626e-16 relative error 2.9263454299763114e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.393366559229815 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 1.5213335380122777 y[1] (numeric) 1.5213335380122772 absolute error 4.440892098500626e-16 relative error 2.919078550192842e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.206245559681474 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 1.5250503156522361 y[1] (numeric) 1.525050315652236 absolute error 2.220446049250313e-16 relative error 1.4559821577432145e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.825930021943517 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 1.5287067093471656 y[1] (numeric) 1.5287067093471653 absolute error 2.220446049250313e-16 relative error 1.4524997082001132e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.453077412358997 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 1.5323034329517473 y[1] (numeric) 1.5323034329517469 absolute error 4.440892098500626e-16 relative error 2.898180610315497e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.087397774889016 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 1.5358412072876138 y[1] (numeric) 1.5358412072876133 absolute error 4.440892098500626e-16 relative error 2.891504718995985e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.728615019669064 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 1.5393207600712673 y[1] (numeric) 1.5393207600712668 absolute error 4.440892098500626e-16 relative error 2.88496862622383e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.37646608256649 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 1.5427428258413083 y[1] (numeric) 1.5427428258413078 absolute error 4.440892098500626e-16 relative error 2.878569275523198e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.03070014462918 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 1.5461081458849824 y[1] (numeric) 1.546108145884982 absolute error 4.440892098500626e-16 relative error 2.8723036679679923e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.69107790648819 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 1.549417468164052 y[1] (numeric) 1.5494174681640516 absolute error 4.440892098500626e-16 relative error 2.866168860070206e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.357370913238025 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 1.5526715472400014 y[1] (numeric) 1.552671547240001 absolute error 4.440892098500626e-16 relative error 2.860161961745656e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.029360925728202 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 1.5558711441985804 y[1] (numeric) 1.55587114419858 absolute error 4.440892098500626e-16 relative error 2.8542801343539936e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.70683933457039 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 1.5590170265736971 y[1] (numeric) 1.5590170265736967 absolute error 4.440892098500626e-16 relative error 2.848520588810066e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.38960661349667 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 1.5621099682706647 y[1] (numeric) 1.5621099682706643 absolute error 4.440892098500626e-16 relative error 2.8428805837638433e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.077471809004006 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 1.5651507494888117 y[1] (numeric) 1.5651507494888113 absolute error 4.440892098500626e-16 relative error 2.8373574238462652e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.77025206348853 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 1.568140156643463 y[1] (numeric) 1.5681401566434625 absolute error 4.440892098500626e-16 relative error 2.831948457978505e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.467772169317152 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 1.5710789822872986 y[1] (numeric) 1.571078982287298 absolute error 6.661338147750939e-16 relative error 4.23997661661341e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.169864151502582 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 1.5739680250310983 y[1] (numeric) 1.573968025031098 absolute error 4.440892098500626e-16 relative error 2.821462715808908e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.876366876846797 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 1.5768080894638836 y[1] (numeric) 1.5768080894638832 absolute error 4.440892098500626e-16 relative error 2.8163808444251032e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 1.579599986072457 y[1] (numeric) 1.5795999860724563 absolute error 6.661338147750939e-16 relative error 4.217104460929883e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 1.5823445311603546 y[1] (numeric) 1.582344531160354 absolute error 6.661338147750939e-16 relative error 4.209789977196743e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 1.5850425467662175 y[1] (numeric) 1.5850425467662168 absolute error 6.661338147750939e-16 relative error 4.202624189073859e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 1.5876948605815877 y[1] (numeric) 1.587694860581587 absolute error 6.661338147750939e-16 relative error 4.1956035212653063e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) 1.59030230586814 y[1] (numeric) 1.5903023058681391 absolute error 8.881784197001252e-16 relative error 5.584965930205779e-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] 1.0100000000000007 y[1] (analytic) 1.5928657213743556 y[1] (numeric) 1.592865721374355 absolute error 6.661338147750939e-16 relative error 4.1819834894829724e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) 1.5953859512516497 y[1] (numeric) 1.595385951251649 absolute error 6.661338147750939e-16 relative error 4.17537721359827e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) 1.5978638449699556 y[1] (numeric) 1.597863844969955 absolute error 6.661338147750939e-16 relative error 4.168902230763092e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) 1.6003002572327785 y[1] (numeric) 1.600300257232778 absolute error 4.440892098500626e-16 relative error 2.7750367960196217e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) 1.6026960478917271 y[1] (numeric) 1.6026960478917267 absolute error 4.440892098500626e-16 relative error 2.7708885314482525e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) 1.6050520818605278 y[1] (numeric) 1.6050520818605272 absolute error 6.661338147750939e-16 relative error 4.1502317731829095e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) 1.6073692290285342 y[1] (numeric) 1.6073692290285337 absolute error 4.440892098500626e-16 relative error 2.7628325952118815e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) 1.60964836417374 y[1] (numeric) 1.6096483641737396 absolute error 4.440892098500626e-16 relative error 2.7589206421367762e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) 1.611890366875301 y[1] (numeric) 1.6118903668753004 absolute error 6.661338147750939e-16 relative error 4.1326248265036456e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) 1.6140961214255776 y[1] (numeric) 1.614096121425577 absolute error 6.661338147750939e-16 relative error 4.126977358614562e-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] 1.1100000000000008 y[1] (analytic) 1.6162665167417072 y[1] (numeric) 1.6162665167417063 absolute error 8.881784197001252e-16 relative error 5.495247290593124e-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] 1.1200000000000008 y[1] (analytic) 1.6184024462767124 y[1] (numeric) 1.6184024462767117 absolute error 6.661338147750939e-16 relative error 4.1159960942199365e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 1.6205048079301574 y[1] (numeric) 1.620504807930157 absolute error 4.440892098500626e-16 relative error 2.7404374715635065e-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] 1.1400000000000008 y[1] (analytic) 1.6225745039583583 y[1] (numeric) 1.6225745039583577 absolute error 6.661338147750939e-16 relative error 4.105412806315053e-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] 1.1500000000000008 y[1] (analytic) 1.6246124408841576 y[1] (numeric) 1.624612440884157 absolute error 6.661338147750939e-16 relative error 4.1002629181675236e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 1.6266195294062733 y[1] (numeric) 1.6266195294062729 absolute error 4.440892098500626e-16 relative error 2.730135731323465e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) 1.6285966843082305 y[1] (numeric) 1.62859668430823 absolute error 4.440892098500626e-16 relative error 2.7268212819596633e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) 1.6305448243668819 y[1] (numeric) 1.6305448243668816 absolute error 2.220446049250313e-16 relative error 1.36178166712619e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) 1.632464872260533 y[1] (numeric) 1.6324648722605328 absolute error 2.220446049250313e-16 relative error 1.3601799873191644e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) 1.6343577544766736 y[1] (numeric) 1.6343577544766734 absolute error 2.220446049250313e-16 relative error 1.3586046526033138e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) 1.6362244012193305 y[1] (numeric) 1.63622440121933 absolute error 4.440892098500626e-16 relative error 2.714109443173705e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 1.6380657463160473 y[1] (numeric) 1.6380657463160468 absolute error 4.440892098500626e-16 relative error 2.711058520384812e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) 1.639882727124503 y[1] (numeric) 1.6398827271245024 absolute error 4.440892098500626e-16 relative error 2.708054682841638e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 1.6416762844387764 y[1] (numeric) 1.641676284438776 absolute error 4.440892098500626e-16 relative error 2.7050960902555707e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) 1.6434473623952688 y[1] (numeric) 1.6434473623952683 absolute error 4.440892098500626e-16 relative error 2.7021809156261485e-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] 1.260000000000001 y[1] (analytic) 1.6451969083782894 y[1] (numeric) 1.645196908378289 absolute error 4.440892098500626e-16 relative error 2.6993073448442846e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) 1.646925872925319 y[1] (numeric) 1.6469258729253182 absolute error 6.661338147750939e-16 relative error 4.0447103644797756e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 1.6486352096319556 y[1] (numeric) 1.648635209631955 absolute error 6.661338147750939e-16 relative error 4.040516730949856e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) 1.650325875056558 y[1] (numeric) 1.650325875056557 absolute error 8.881784197001252e-16 relative error 5.381836600421033e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) 1.6519988286245875 y[1] (numeric) 1.6519988286245868 absolute error 6.661338147750939e-16 relative error 4.03228987353278e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y[1] (analytic) 1.6536550325326698 y[1] (numeric) 1.653655032532669 absolute error 6.661338147750939e-16 relative error 4.0282513684542225e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y[1] (analytic) 1.655295451652373 y[1] (numeric) 1.6552954516523724 absolute error 6.661338147750939e-16 relative error 4.0242593194473904e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) 1.6569210534337233 y[1] (numeric) 1.6569210534337226 absolute error 6.661338147750939e-16 relative error 4.0203111270427176e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y[1] (analytic) 1.6585328078084596 y[1] (numeric) 1.658532807808459 absolute error 6.661338147750939e-16 relative error 4.0164042076159176e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y[1] (analytic) 1.6601316870930418 y[1] (numeric) 1.660131687093041 absolute error 8.881784197001252e-16 relative error 5.3500479908034395e-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] 1.360000000000001 y[1] (analytic) 1.6617186658914196 y[1] (numeric) 1.6617186658914187 absolute error 8.881784197001252e-16 relative error 5.3449385743264006e-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] 1.370000000000001 y[1] (analytic) 1.6632947209975733 y[1] (numeric) 1.6632947209975724 absolute error 8.881784197001252e-16 relative error 5.3398739771592233e-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] 1.380000000000001 y[1] (analytic) 1.6648608312978346 y[1] (numeric) 1.6648608312978337 absolute error 8.881784197001252e-16 relative error 5.3348508355965694e-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] 1.390000000000001 y[1] (analytic) 1.6664179776729995 y[1] (numeric) 1.6664179776729988 absolute error 6.661338147750939e-16 relative error 3.99739935418417e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y[1] (analytic) 1.667967142900241 y[1] (numeric) 1.6679671429002403 absolute error 6.661338147750939e-16 relative error 3.9936866718898827e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) 1.6695093115548314 y[1] (numeric) 1.6695093115548305 absolute error 8.881784197001252e-16 relative error 5.319996801173606e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y[1] (analytic) 1.671045469911686 y[1] (numeric) 1.671045469911685 absolute error 8.881784197001252e-16 relative error 5.3151062355416646e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y[1] (analytic) 1.6725766058467368 y[1] (numeric) 1.672576605846736 absolute error 8.881784197001252e-16 relative error 5.3102405988184174e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y[1] (analytic) 1.6741037087381456 y[1] (numeric) 1.6741037087381447 absolute error 8.881784197001252e-16 relative error 5.305396643375153e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y[1] (analytic) 1.6756277693673667 y[1] (numeric) 1.6756277693673658 absolute error 8.881784197001252e-16 relative error 5.300571140781804e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y[1] (analytic) 1.6771497798200696 y[1] (numeric) 1.6771497798200687 absolute error 8.881784197001252e-16 relative error 5.295760881865972e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y[1] (analytic) 1.678670733386932 y[1] (numeric) 1.6786707333869308 absolute error 1.1102230246251565e-15 relative error 6.613703346010806e-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] 1.480000000000001 y[1] (analytic) 1.6801916244643098 y[1] (numeric) 1.6801916244643087 absolute error 1.1102230246251565e-15 relative error 6.607716694095089e-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] 1.490000000000001 y[1] (analytic) 1.6817134484548009 y[1] (numeric) 1.6817134484547998 absolute error 1.1102230246251565e-15 relative error 6.601737208233997e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.500000000000001 y[1] (analytic) 1.683237201667703 y[1] (numeric) 1.683237201667702 absolute error 1.1102230246251565e-15 relative error 6.595760974895157e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100000000000011 y[1] (analytic) 1.6847638812193861 y[1] (numeric) 1.684763881219385 absolute error 1.1102230246251565e-15 relative error 6.589784105661188e-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] 1.5200000000000011 y[1] (analytic) 1.6862944849335795 y[1] (numeric) 1.6862944849335784 absolute error 1.1102230246251565e-15 relative error 6.583802737568026e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5300000000000011 y[1] (analytic) 1.6878300112415912 y[1] (numeric) 1.6878300112415903 absolute error 8.881784197001252e-16 relative error 5.26225042678776e-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] 1.5400000000000011 y[1] (analytic) 1.6893714590824664 y[1] (numeric) 1.6893714590824653 absolute error 1.1102230246251565e-15 relative error 6.571811182533782e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5500000000000012 y[1] (analytic) 1.6909198278030926 y[1] (numeric) 1.6909198278030917 absolute error 8.881784197001252e-16 relative error 5.252634720441361e-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] 1.5600000000000012 y[1] (analytic) 1.6924761170582676 y[1] (numeric) 1.6924761170582667 absolute error 8.881784197001252e-16 relative error 5.247804744470421e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5700000000000012 y[1] (analytic) 1.6940413267107335 y[1] (numeric) 1.6940413267107326 absolute error 8.881784197001252e-16 relative error 5.2429560347543186e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5800000000000012 y[1] (analytic) 1.695616456731192 y[1] (numeric) 1.695616456731191 absolute error 8.881784197001252e-16 relative error 5.238085630593341e-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 0.008874468381578252 Order of pole (three term test) -0.8949050896709201 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 1.6972025070983077 y[1] (numeric) 1.6972025070983068 absolute error 8.881784197001252e-16 relative error 5.233190594436701e-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 0.01851326600938967 Order of pole (three term test) -0.901772189378976 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 1.6988004776987116 y[1] (numeric) 1.6988004776987107 absolute error 8.881784197001252e-16 relative error 5.228268012399552e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.028144643333266314 Order of pole (three term test) -0.9134710156510109 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 1.7004113682270126 y[1] (numeric) 1.7004113682270119 absolute error 6.661338147750939e-16 relative error 3.9174862461056074e-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 0.03776474002241432 Order of pole (three term test) -0.9299968698555368 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 1.7020361780858297 y[1] (numeric) 1.702036178085829 absolute error 6.661338147750939e-16 relative error 3.9137465075757184e-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 0.04736970029524609 Order of pole (three term test) -0.9513431147005369 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 1.703675906285852 y[1] (numeric) 1.7036759062858513 absolute error 6.661338147750939e-16 relative error 3.909979664074244e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05695567447425488 Order of pole (three term test) -0.9775011769318743 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) 1.7053315513459382 y[1] (numeric) 1.7053315513459375 absolute error 6.661338147750939e-16 relative error 3.906183605465727e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06651882053836847 Order of pole (three term test) -1.0084605508186815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) 1.7070041111932663 y[1] (numeric) 1.7070041111932657 absolute error 6.661338147750939e-16 relative error 3.9023562415994353e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07605530567213967 Order of pole (three term test) -1.0442088024242429 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y[1] (analytic) 1.7086945830635412 y[1] (numeric) 1.7086945830635405 absolute error 6.661338147750939e-16 relative error 3.8984955028111215e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08556130781113587 Order of pole (three term test) -1.0847315746605615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y[1] (analytic) 1.7104039634012722 y[1] (numeric) 1.7104039634012715 absolute error 6.661338147750939e-16 relative error 3.894599340441393e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09503301718288724 Order of pole (three term test) -1.1300125931244465 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y[1] (analytic) 1.712133247760129 y[1] (numeric) 1.7121332477601285 absolute error 4.440892098500626e-16 relative error 2.5937771515799674e-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 0.10446663784276024 Order of pole (three term test) -1.1800336727126426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y[1] (analytic) 1.713883430703388 y[1] (numeric) 1.7138834307033874 absolute error 4.440892098500626e-16 relative error 2.591128439043289e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11385838920412135 Order of pole (three term test) -1.2347747250131897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y[1] (analytic) 1.7156555057044756 y[1] (numeric) 1.7156555057044751 absolute error 4.440892098500626e-16 relative error 2.588452101097723e-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 0.12320450756215928 Order of pole (three term test) -1.2942137664698512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y[1] (analytic) 1.7174504650476226 y[1] (numeric) 1.717450465047622 absolute error 4.440892098500626e-16 relative error 2.5857468316429645e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13250124761074028 Order of pole (three term test) -1.3583269273161624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y[1] (analytic) 1.7192692997286365 y[1] (numeric) 1.719269299728636 absolute error 4.440892098500626e-16 relative error 2.583011340458159e-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 0.14174488395166784 Order of pole (three term test) -1.4270884612752712 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y[1] (analytic) 1.7211129993558025 y[1] (numeric) 1.7211129993558019 absolute error 6.661338147750939e-16 relative error 3.870366530404581e-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 0.15093171259572805 Order of pole (three term test) -1.5004707560214683 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y[1] (analytic) 1.7229825520509232 y[1] (numeric) 1.7229825520509225 absolute error 6.661338147750939e-16 relative error 3.866166920739695e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16005805245490146 Order of pole (three term test) -1.5784443443989504 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y[1] (analytic) 1.7248789443505081 y[1] (numeric) 1.7248789443505075 absolute error 6.661338147750939e-16 relative error 3.8619163214721845e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16912024682512733 Order of pole (three term test) -1.660977916393046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y[1] (analytic) 1.7268031611071202 y[1] (numeric) 1.7268031611071195 absolute error 6.661338147750939e-16 relative error 3.85761289866999e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17811466485901056 Order of pole (three term test) -1.748038331848822 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y[1] (analytic) 1.7287561853908913 y[1] (numeric) 1.7287561853908906 absolute error 6.661338147750939e-16 relative error 3.853254845329583e-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 0.1870377030278668 Order of pole (three term test) -1.8395906339316739 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y[1] (analytic) 1.7307389983912165 y[1] (numeric) 1.7307389983912158 absolute error 6.661338147750939e-16 relative error 3.848840382023454e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1958857865725053 Order of pole (three term test) -1.9355980633241854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y[1] (analytic) 1.7327525793186358 y[1] (numeric) 1.732752579318635 absolute error 8.881784197001252e-16 relative error 5.125823676738548e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20465537094215178 Order of pole (three term test) -2.0360220731532146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y[1] (analytic) 1.7347979053069134 y[1] (numeric) 1.7347979053069125 absolute error 8.881784197001252e-16 relative error 5.119780332816302e-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 0.21334294322092445 Order of pole (three term test) -2.1408223446409056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y[1] (analytic) 1.7368759513153256 y[1] (numeric) 1.736875951315325 absolute error 6.661338147750939e-16 relative error 3.835241165442097e-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 0.22194502354127854 Order of pole (three term test) -2.249956803472989 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y[1] (analytic) 1.7389876900311663 y[1] (numeric) 1.7389876900311656 absolute error 6.661338147750939e-16 relative error 3.830583842506415e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23045816648383566 Order of pole (three term test) -2.3633816368773912 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y[1] (analytic) 1.7411340917724778 y[1] (numeric) 1.741134091772477 absolute error 8.881784197001252e-16 relative error 5.1011488655417566e-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 0.2388789624630327 Order of pole (three term test) -2.481051311405986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y[1] (analytic) 1.74331612439102 y[1] (numeric) 1.7433161243910194 absolute error 6.661338147750939e-16 relative error 3.821072985301445e-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 0.24720403909801902 Order of pole (three term test) -2.602918591411918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 1.7455347531754875 y[1] (numeric) 1.7455347531754868 absolute error 6.661338147750939e-16 relative error 3.816216283080352e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2554300625682415 Order of pole (three term test) -2.7289345582146747 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y[1] (analytic) 1.7477909407549796 y[1] (numeric) 1.747790940754979 absolute error 6.661338147750939e-16 relative error 3.811290007530015e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2635537389531722 Order of pole (three term test) -2.859048629944887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y[1] (analytic) 1.7500856470027395 y[1] (numeric) 1.7500856470027388 absolute error 6.661338147750939e-16 relative error 3.806292657253312e-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 0.2715718155556203 Order of pole (three term test) -2.993208582060332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y[1] (analytic) 1.7524198289401671 y[1] (numeric) 1.7524198289401665 absolute error 6.661338147750939e-16 relative error 3.8012227650834105e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2794810822081011 Order of pole (three term test) -3.131360568524605 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y[1] (analytic) 1.754794440641118 y[1] (numeric) 1.7547944406411173 absolute error 6.661338147750939e-16 relative error 3.796078898743949e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28727837256172556 Order of pole (three term test) -3.2734491436394726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y[1] (analytic) 1.757210433136497 y[1] (numeric) 1.7572104331364962 absolute error 8.881784197001252e-16 relative error 5.054479548671864e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29496056535708703 Order of pole (three term test) -3.419417284521679 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y[1] (analytic) 1.7596687543191551 y[1] (numeric) 1.7596687543191543 absolute error 8.881784197001252e-16 relative error 5.0474182571013265e-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 0.30252458567663315 Order of pole (three term test) -3.569206414214798 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y[1] (analytic) 1.7621703488491023 y[1] (numeric) 1.7621703488491012 absolute error 1.1102230246251565e-15 relative error 6.300316115012709e-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 0.30996740617800966 Order of pole (three term test) -3.722756425426299 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y[1] (analytic) 1.7647161580590405 y[1] (numeric) 1.7647161580590396 absolute error 8.881784197001252e-16 relative error 5.032981738417393e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31728604830788615 Order of pole (three term test) -3.8800057048799785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y[1] (analytic) 1.7673071198602333 y[1] (numeric) 1.7673071198602324 absolute error 8.881784197001252e-16 relative error 5.025603132127745e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3244775834957641 Order of pole (three term test) -4.040891158273372 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y[1] (analytic) 1.7699441686487134 y[1] (numeric) 1.7699441686487127 absolute error 6.661338147750939e-16 relative error 3.763586595410308e-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 0.331539134327293 Order of pole (three term test) -4.205348235829766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y[1] (analytic) 1.7726282352118459 y[1] (numeric) 1.7726282352118452 absolute error 6.661338147750939e-16 relative error 3.757887872611285e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3384678756966183 Order of pole (three term test) -4.373310958434025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 1.7753602466352485 y[1] (numeric) 1.7753602466352476 absolute error 8.881784197001252e-16 relative error 5.002806733920315e-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 0.34526103593730045 Order of pole (three term test) -4.544711944341315 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 1.7781411262100846 y[1] (numeric) 1.7781411262100837 absolute error 8.881784197001252e-16 relative error 4.9949827187968e-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 0.3519158979313488 Order of pole (three term test) -4.719482436447492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 1.780971793340735 y[1] (numeric) 1.780971793340734 absolute error 8.881784197001252e-16 relative error 4.9870437197328434e-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 0.35842980019592957 Order of pole (three term test) -4.89755233010979 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y[1] (analytic) 1.783853163452858 y[1] (numeric) 1.7838531634528572 absolute error 8.881784197001252e-16 relative error 4.978988393758549e-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 0.3648001379473069 Order of pole (three term test) -5.078850201506021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y[1] (analytic) 1.7867861479018479 y[1] (numeric) 1.7867861479018472 absolute error 6.661338147750939e-16 relative error 3.728111590507395e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3710243641416041 Order of pole (three term test) -5.263303336520731 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y[1] (analytic) 1.7897716538817 y[1] (numeric) 1.7897716538816992 absolute error 6.661338147750939e-16 relative error 3.7218927528009894e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3770999904919557 Order of pole (three term test) -5.4508377601458635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y[1] (analytic) 1.7928105843342912 y[1] (numeric) 1.7928105843342905 absolute error 6.661338147750939e-16 relative error 3.715583902704611e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38302458846165965 Order of pole (three term test) -5.64137826638401 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y[1] (analytic) 1.7959038378590881 y[1] (numeric) 1.7959038378590877 absolute error 4.440892098500626e-16 relative error 2.4727894695044754e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3887957902329273 Order of pole (three term test) -5.834848448641552 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y[1] (analytic) 1.7990523086232872 y[1] (numeric) 1.7990523086232868 absolute error 4.440892098500626e-16 relative error 2.468461910314875e-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 0.3944112896508517 Order of pole (three term test) -6.031170730599169 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.06 y[1] (analytic) 1.802256886272398 y[1] (numeric) 1.8022568862723976 absolute error 4.440892098500626e-16 relative error 2.464072759175696e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39986884314222026 Order of pole (three term test) -6.230266397546771 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.07 y[1] (analytic) 1.80551845584128 y[1] (numeric) 1.8055184558412798 absolute error 2.220446049250313e-16 relative error 1.2298107737789353e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4051662706088129 Order of pole (three term test) -6.43205562816998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y[1] (analytic) 1.8088378976656405 y[1] (numeric) 1.8088378976656405 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41030145629482817 Order of pole (three term test) -6.63645752677471 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y[1] (analytic) 1.8122160872940007 y[1] (numeric) 1.8122160872940007 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 0.41527234962810694 Order of pole (three term test) -6.8433901559367865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y[1] (analytic) 1.8156538954001422 y[1] (numeric) 1.8156538954001422 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 0.4200769660348201 Order of pole (three term test) -7.052770569562899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y[1] (analytic) 1.81915218769604 y[1] (numeric) 1.8191521876960401 absolute error 2.220446049250313e-16 relative error 1.2205938921814522e-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 0.424713387727301 Order of pole (three term test) -7.2645148463491385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y[1] (analytic) 1.8227118248452923 y[1] (numeric) 1.8227118248452925 absolute error 2.220446049250313e-16 relative error 1.2182101520292598e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4291797644647234 Order of pole (three term test) -7.478538123623476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y[1] (analytic) 1.8263336623770545 y[1] (numeric) 1.826333662377055 absolute error 4.440892098500626e-16 relative error 2.4315885919337474e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.433474314286327 Order of pole (three term test) -7.694754631558116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y[1] (analytic) 1.830018550600488 y[1] (numeric) 1.8300185506004885 absolute error 4.440892098500626e-16 relative error 2.4266923944806058e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.437595324216908 Order of pole (three term test) -7.9130777277375355 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y[1] (analytic) 1.8337673345197283 y[1] (numeric) 1.8337673345197287 absolute error 4.440892098500626e-16 relative error 2.4217314895423825e-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 0.4415411509443062 Order of pole (three term test) -8.133419932068065 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y[1] (analytic) 1.8375808537493867 y[1] (numeric) 1.8375808537493872 absolute error 4.440892098500626e-16 relative error 2.4167056864134504e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4453102214686289 Order of pole (three term test) -8.35569296201466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y[1] (analytic) 1.841459942430589 y[1] (numeric) 1.8414599424305895 absolute error 4.440892098500626e-16 relative error 2.4116148259184947e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4489010337229652 Order of pole (three term test) -8.579807768150248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y[1] (analytic) 1.8454054291475623 y[1] (numeric) 1.845405429147563 absolute error 6.661338147750939e-16 relative error 3.6096881707061916e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4523121571653566 Order of pole (three term test) -8.80567457000324 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y[1] (analytic) 1.849418136844777 y[1] (numeric) 1.8494181368447777 absolute error 6.661338147750939e-16 relative error 3.601856181163876e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4555422333417981 Order of pole (three term test) -9.0332028921882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y[1] (analytic) 1.853498882744653 y[1] (numeric) 1.853498882744654 absolute error 8.881784197001252e-16 relative error 4.7919015650277305e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.830019744091002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.45858997642006555 Order of pole (three term test) -9.26230160080532 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y[1] (analytic) 1.8576484782658387 y[1] (numeric) 1.8576484782658396 absolute error 8.881784197001252e-16 relative error 4.781197465998853e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.122828980062188 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4614541736941656 Order of pole (three term test) -9.492878940093359 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y[1] (analytic) 1.861867728942069 y[1] (numeric) 1.86186772894207 absolute error 8.881784197001252e-16 relative error 4.7703626089743585e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.420023903190474 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46413368605922356 Order of pole (three term test) -9.724842569321325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y[1] (analytic) 1.8661574343416132 y[1] (numeric) 1.8661574343416143 absolute error 1.1102230246251565e-15 relative error 5.949246318635743e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.721764591441373 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4666274484566381 Order of pole (three term test) -9.958099599903804 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y[1] (analytic) 1.8705183879873186 y[1] (numeric) 1.8705183879873197 absolute error 1.1102230246251565e-15 relative error 5.935376159652505e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.028217904630887 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46893447028933793 Order of pole (three term test) -10.192556632724665 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y[1] (analytic) 1.874951377277259 y[1] (numeric) 1.8749513772772604 absolute error 1.3322676295501878e-15 relative error 7.105611621165674e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.339557871251518 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47105383580699434 Order of pole (three term test) -10.428119795654192 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y[1] (analytic) 1.8794571834059957 y[1] (numeric) 1.8794571834059968 absolute error 1.1102230246251565e-15 relative error 5.907147204136808e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.65596610144359 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4729847044610516 Order of pole (three term test) -10.664694781244089 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y[1] (analytic) 1.8840365812864575 y[1] (numeric) 1.8840365812864588 absolute error 1.3322676295501878e-15 relative error 7.071346930219843e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.977632228217344 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.474726311229453 Order of pole (three term test) -10.902186884585332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y[1] (analytic) 1.8886903394724521 y[1] (numeric) 1.8886903394724537 absolute error 1.5543122344752192e-15 relative error 8.22957687658512e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.30475437922631 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4762779669109482 Order of pole (three term test) -11.140501041313287 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y[1] (analytic) 1.8934192200818099 y[1] (numeric) 1.8934192200818116 absolute error 1.7763568394002505e-15 relative error 9.38174082400779e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.637539681608544 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4776390583888867 Order of pole (three term test) -11.37954186574483 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y[1] (analytic) 1.8982239787201733 y[1] (numeric) 1.8982239787201751 absolute error 1.7763568394002505e-15 relative error 9.357993889624719e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.97620480265129 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47880904886440695 Order of pole (three term test) -11.619213689131941 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y[1] (analytic) 1.9031053644054365 y[1] (numeric) 1.9031053644054383 absolute error 1.7763568394002505e-15 relative error 9.333991026583099e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.32097652929946 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47978747805895033 Order of pole (three term test) -11.859420598016396 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y[1] (analytic) 1.9080641194928447 y[1] (numeric) 1.9080641194928465 absolute error 1.7763568394002505e-15 relative error 9.309733468875241e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.67209238982252 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4805739623860377 Order of pole (three term test) -12.100066472670058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y[1] (analytic) 1.9131009796007588 y[1] (numeric) 1.9131009796007608 absolute error 1.9984014443252818e-15 relative error 1.0445875390970341e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.02980132128031 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4811681950922577 Order of pole (three term test) -12.3410550256052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y[1] (analytic) 1.918216673537095 y[1] (numeric) 1.918216673537097 absolute error 1.9984014443252818e-15 relative error 1.0418017275599686e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.39436438679251 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48156994636743294 Order of pole (three term test) -12.582289840139438 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y[1] (analytic) 1.9234119232264428 y[1] (numeric) 1.923411923226445 absolute error 2.220446049250313e-15 relative error 1.1544308436674387e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.766055547019743 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4817790634239389 Order of pole (three term test) -12.823674408999718 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y[1] (analytic) 1.928687443637876 y[1] (numeric) 1.9286874436378783 absolute error 2.220446049250313e-15 relative error 1.1512731399661752e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.145162490716583 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48179547054516353 Order of pole (three term test) -13.065112172949945 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y[1] (analytic) 1.9340439427134535 y[1] (numeric) 1.934043942713456 absolute error 2.4424906541753444e-15 relative error 1.2628930502729648e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.45526533957687 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48161916910310965 Order of pole (three term test) -13.306506559426595 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y[1] (analytic) 1.9394821212974276 y[1] (numeric) 1.93948212129743 absolute error 2.4424906541753444e-15 relative error 1.259351982343321e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.069748975804067 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4812502375451523 Order of pole (three term test) -13.547761021167009 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y[1] (analytic) 1.945002673066159 y[1] (numeric) 1.9450026730661616 absolute error 2.6645352591003757e-15 relative error 1.3699391245051218e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.691515117292617 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4806888313499766 Order of pole (three term test) -13.788779074814867 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y[1] (analytic) 1.9506062844587504 y[1] (numeric) 1.9506062844587533 absolute error 2.886579864025407e-15 relative error 1.4798372624060156e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.320285793468468 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4799351829527357 Order of pole (three term test) -14.02946433948729 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y[1] (analytic) 1.9562936346084032 y[1] (numeric) 1.9562936346084063 absolute error 3.1086244689504383e-15 relative error 1.5890377671104063e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.9557959866648 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4789896016394763 Order of pole (three term test) -14.26972057528845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y[1] (analytic) 1.9620653952745046 y[1] (numeric) 1.9620653952745077 absolute error 3.1086244689504383e-15 relative error 1.5843633328620646e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.59779286390787 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47785247341089676 Order of pole (three term test) -14.509451721754068 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y[1] (analytic) 1.9679222307754518 y[1] (numeric) 1.967922230775455 absolute error 3.1086244689504383e-15 relative error 1.5796480269067834e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.24603506219555 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47652426081551097 Order of pole (three term test) -14.748561936211733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y[1] (analytic) 1.973864797922221 y[1] (numeric) 1.9738647979222244 absolute error 3.3306690738754696e-15 relative error 1.687384605765036e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.900292022956116 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47500550275230335 Order of pole (three term test) -14.986955632041594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y[1] (analytic) 1.9798937459526877 y[1] (numeric) 1.979893745952691 absolute error 3.3306690738754696e-15 relative error 1.6822463734147583e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.560343371767242 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47329681424297804 Order of pole (three term test) -15.224537516822409 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y[1] (analytic) 1.9860097164667017 y[1] (numeric) 1.9860097164667052 absolute error 3.552713678800501e-15 relative error 1.7888702403335232e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.22597833976715 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4713988861739058 Order of pole (three term test) -15.461212630347855 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y[1] (analytic) 1.9922133433619293 y[1] (numeric) 1.992213343361933 absolute error 3.552713678800501e-15 relative error 1.783299811055965e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.896995223508176 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46931248500789957 Order of pole (three term test) -15.696886382497711 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y[1] (analytic) 1.9985052527704632 y[1] (numeric) 1.998505252770467 absolute error 3.774758283725532e-15 relative error 1.8887907742512596e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.573200880287127 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46703845246594455 Order of pole (three term test) -15.931464590949561 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y[1] (analytic) 2.00488606299621 y[1] (numeric) 2.004886062996214 absolute error 3.9968028886505635e-15 relative error 1.993531184848243e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.254410256246732 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4645777051790352 Order of pole (three term test) -16.164853518715468 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y[1] (analytic) 2.01135638445306 y[1] (numeric) 2.011356384453064 absolute error 3.9968028886505635e-15 relative error 1.9871182051794355e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.940445944773503 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4619312343102737 Order of pole (three term test) -16.39695991148932 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y[1] (analytic) 2.0179168196038475 y[1] (numeric) 2.017916819603852 absolute error 4.440892098500626e-15 relative error 2.2007309990966085e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.63113777292888 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.45910010514739913 Order of pole (three term test) -16.627691034789873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y[1] (analytic) 2.0245679629001034 y[1] (numeric) 2.024567962900108 absolute error 4.440892098500626e-15 relative error 2.1935011221550923e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.456085456665929 Order of pole (three term test) -16.85695471088499 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y[1] (analytic) 2.0313104007226115 y[1] (numeric) 2.031310400722616 absolute error 4.440892098500626e-15 relative error 2.1862203319201429e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4528885010631033 Order of pole (three term test) -17.084659355482593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y[1] (analytic) 2.038144711322771 y[1] (numeric) 2.0381447113227753 absolute error 4.440892098500626e-15 relative error 2.1788894938762492e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44951052326283714 Order of pole (three term test) -17.31071401417381 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y[1] (analytic) 2.0450714647647708 y[1] (numeric) 2.045071464764775 absolute error 4.440892098500626e-15 relative error 2.1715094924623715e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44595288039189196 Order of pole (three term test) -17.535028398614298 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y[1] (analytic) 2.052091222868585 y[1] (numeric) 2.0520912228685897 absolute error 4.884981308350689e-15 relative error 2.380489353451867e-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 0.44221700122749547 Order of pole (three term test) -17.757512922429243 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y[1] (analytic) 2.0592045391537908 y[1] (numeric) 2.0592045391537956 absolute error 4.884981308350689e-15 relative error 2.372266190884623e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43830438561664137 Order of pole (three term test) -17.97807873682837 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y[1] (analytic) 2.0664119587842165 y[1] (numeric) 2.0664119587842213 absolute error 4.884981308350689e-15 relative error 2.3639919850370936e-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 0.4342166038673214 Order of pole (three term test) -18.196637765916748 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y[1] (analytic) 2.073714018513426 y[1] (numeric) 2.073714018513431 absolute error 4.884981308350689e-15 relative error 2.355667784824333e-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 0.4299552961119409 Order of pole (three term test) -18.413102741687933 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y[1] (analytic) 2.0811112466310444 y[1] (numeric) 2.0811112466310493 absolute error 4.884981308350689e-15 relative error 2.3472946562845306e-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 0.425522171643193 Order of pole (three term test) -18.627387238685515 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y[1] (analytic) 2.0886041629099275 y[1] (numeric) 2.088604162909933 absolute error 5.329070518200751e-15 relative error 2.5514985619755137e-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 0.42091900822266254 Order of pole (three term test) -18.839405708319887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y[1] (analytic) 2.0961932785541886 y[1] (numeric) 2.096193278554194 absolute error 5.329070518200751e-15 relative error 2.5422610465941296e-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 0.41614765136245496 Order of pole (three term test) -19.049073512826734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y[1] (analytic) 2.103879096148074 y[1] (numeric) 2.1038790961480798 absolute error 5.773159728050814e-15 relative error 2.7440548929930005e-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 0.41121001358014636 Order of pole (three term test) -19.256306958854132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y[1] (analytic) 2.111662109605709 y[1] (numeric) 2.1116621096057147 absolute error 5.773159728050814e-15 relative error 2.733941051359198e-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 0.4061080736273622 Order of pole (three term test) -19.46102333066521 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y[1] (analytic) 2.1195428041217044 y[1] (numeric) 2.11954280412171 absolute error 5.773159728050814e-15 relative error 2.7237759562223584e-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 0.40084387569230595 Order of pole (three term test) -19.66314092294364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y[1] (analytic) 2.1275216561226378 y[1] (numeric) 2.127521656122644 absolute error 6.217248937900877e-15 relative error 2.922296428808945e-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 0.3954195285765659 Order of pole (three term test) -19.862579073189096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y[1] (analytic) 2.135599133219413 y[1] (numeric) 2.1355991332194195 absolute error 6.661338147750939e-15 relative error 3.1191893853735466e-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 0.38983720484653456 Order of pole (three term test) -20.059258193690496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y[1] (analytic) 2.1437756941604973 y[1] (numeric) 2.143775694160504 absolute error 6.661338147750939e-15 relative error 3.1072925054127546e-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 0.384099139959796 Order of pole (three term test) -20.253099803064195 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y[1] (analytic) 2.1520517887860473 y[1] (numeric) 2.1520517887860544 absolute error 7.105427357601002e-15 relative error 3.3016990551185146e-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 0.378207631366827 Order of pole (three term test) -20.444026557345563 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y[1] (analytic) 2.1604278579829277 y[1] (numeric) 2.1604278579829344 absolute error 6.661338147750939e-15 relative error 3.0833420903812374e-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 0.3721650375883891 Order of pole (three term test) -20.631962280621593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y[1] (analytic) 2.168904333640618 y[1] (numeric) 2.1689043336406253 absolute error 7.105427357601002e-15 relative error 3.2760446126612576e-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 0.3659737772689778 Order of pole (three term test) -20.816831995192885 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y[1] (analytic) 2.17748163860803 y[1] (numeric) 2.1774816386080373 absolute error 7.549516567451064e-15 relative error 3.4670862126199813e-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 0.3596363282067169 Order of pole (three term test) -20.99856195125352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y[1] (analytic) 2.186160186651218 y[1] (numeric) 2.1861601866512257 absolute error 7.549516567451064e-15 relative error 3.4533226858437526e-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 0.3531552263600885 Order of pole (three term test) -21.17707965607731 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y[1] (analytic) 2.194940382412007 y[1] (numeric) 2.1949403824120144 absolute error 7.549516567451064e-15 relative error 3.4395087119199773e-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 0.3465330648319009 Order of pole (three term test) -21.352313902699322 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y[1] (analytic) 2.2038226213675234 y[1] (numeric) 2.2038226213675314 absolute error 7.993605777301127e-15 relative error 3.6271547899535163e-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 0.33977249283090244 Order of pole (three term test) -21.5241947980817 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y[1] (analytic) 2.212807289790654 y[1] (numeric) 2.2128072897906623 absolute error 8.43769498715119e-15 relative error 3.813117855350816e-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 0.33287621461145683 Order of pole (three term test) -21.69265379075306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y[1] (analytic) 2.221894764711414 y[1] (numeric) 2.2218947647114224 absolute error 8.43769498715119e-15 relative error 3.79752233146249e-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 0.3258469883917098 Order of pole (three term test) -21.85762369791079 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y[1] (analytic) 2.231085413879247 y[1] (numeric) 2.2310854138792555 absolute error 8.43769498715119e-15 relative error 3.781878961092909e-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 0.31868762525067273 Order of pole (three term test) -22.019038731976075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y[1] (analytic) 2.2403795957262496 y[1] (numeric) 2.240379595726258 absolute error 8.43769498715119e-15 relative error 3.766189891769656e-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 0.31140098800467386 Order of pole (three term test) -22.17683452659138 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y[1] (analytic) 2.2497776593313272 y[1] (numeric) 2.249777659331336 absolute error 8.881784197001252e-15 relative error 3.947849762025405e-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 0.30398999006361316 Order of pole (three term test) -22.330948162050653 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y[1] (analytic) 2.259279944385289 y[1] (numeric) 2.2592799443852982 absolute error 9.325873406851315e-15 relative error 4.1278078132936837e-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 0.2964575942674875 Order of pole (three term test) -22.48131819015242 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y[1] (analytic) 2.268886781156877 y[1] (numeric) 2.268886781156887 absolute error 9.769962616701378e-15 relative error 4.306060001689373e-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 0.28880681170363853 Order of pole (three term test) -22.627884658466485 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y[1] (analytic) 2.278598490459742 y[1] (numeric) 2.2785984904597516 absolute error 9.769962616701378e-15 relative error 4.2877069644376617e-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 0.2810407005052025 Order of pole (three term test) -22.77058913400488 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y[1] (analytic) 2.2884153836203573 y[1] (numeric) 2.2884153836203676 absolute error 1.021405182655144e-14 relative error 4.4633731706489553e-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 0.2731623646312278 Order of pole (three term test) -22.9093747262882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y[1] (analytic) 2.298337762446893 y[1] (numeric) 2.2983377624469035 absolute error 1.0658141036401503e-14 relative error 4.637325814572382e-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 0.2651749526289518 Order of pole (three term test) -23.04418610979856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y[1] (analytic) 2.308365919199031 y[1] (numeric) 2.308365919199041 absolute error 1.021405182655144e-14 relative error 4.4247975338743376e-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 0.25708165637871977 Order of pole (three term test) -23.174969545810626 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y[1] (analytic) 2.318500136558739 y[1] (numeric) 2.31850013655875 absolute error 1.0658141036401503e-14 relative error 4.596998235342342e-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 0.24888570982204408 Order of pole (three term test) -23.3016729035925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y[1] (analytic) 2.328740687602007 y[1] (numeric) 2.3287406876020182 absolute error 1.1102230246251565e-14 relative error 4.76748240169409e-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 0.24059038767330337 Order of pole (three term test) -23.42424568096847 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y[1] (analytic) 2.339087835771535 y[1] (numeric) 2.3390878357715463 absolute error 1.1546319456101628e-14 relative error 4.936248771646979e-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 0.23219900411558989 Order of pole (three term test) -23.542639024235836 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y[1] (analytic) 2.349541834850391 y[1] (numeric) 2.349541834850402 absolute error 1.1102230246251565e-14 relative error 4.725274554201972e-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 0.2237149114812163 Order of pole (three term test) -23.656805747428255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y[1] (analytic) 2.360102928936632 y[1] (numeric) 2.360102928936644 absolute error 1.199040866595169e-14 relative error 5.080460059152627e-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 0.2151414989174014 Order of pole (three term test) -23.766700350918423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y[1] (analytic) 2.370771352418898 y[1] (numeric) 2.3707713524189096 absolute error 1.1546319456101628e-14 relative error 4.870279643087857e-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 0.206482191037655 Order of pole (three term test) -23.872279039353025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y[1] (analytic) 2.3815473299529666 y[1] (numeric) 2.381547329952979 absolute error 1.2434497875801753e-14 relative error 5.221184445680248e-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 0.19774044655939355 Order of pole (three term test) -23.973499738913258 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y[1] (analytic) 2.392431076439295 y[1] (numeric) 2.3924310764393075 absolute error 1.2434497875801753e-14 relative error 5.197432017271852e-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 0.1889197569283196 Order of pole (three term test) -24.07032211389434 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y[1] (analytic) 2.403422797001525 y[1] (numeric) 2.4034227970015376 absolute error 1.2434497875801753e-14 relative error 5.173662283354742e-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 0.18002364493009892 Order of pole (three term test) -24.162707582597825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y[1] (analytic) 2.4145226869659724 y[1] (numeric) 2.414522686965985 absolute error 1.2434497875801753e-14 relative error 5.149878252511525e-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 0.1710556632898801 Order of pole (three term test) -24.250619332530842 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y[1] (analytic) 2.4257309318420948 y[1] (numeric) 2.425730931842107 absolute error 1.2434497875801753e-14 relative error 5.126082910753429e-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 0.1620193932602058 Order of pole (three term test) -24.33402233490634 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y[1] (analytic) 2.43704770730394 y[1] (numeric) 2.437047707303953 absolute error 1.2878587085651816e-14 relative error 5.284503478144526e-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 0.15291844319786116 Order of pole (three term test) -24.412883358439075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y[1] (analytic) 2.4484731791725816 y[1] (numeric) 2.4484731791725944 absolute error 1.2878587085651816e-14 relative error 5.259844051060387e-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 0.14375644713021565 Order of pole (three term test) -24.487170982432144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y[1] (analytic) 2.4600075033995314 y[1] (numeric) 2.4600075033995448 absolute error 1.3322676295501878e-14 relative error 5.415705552560721e-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 0.13453706331161822 Order of pole (three term test) -24.55685560914899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y[1] (analytic) 2.4716508260511505 y[1] (numeric) 2.4716508260511643 absolute error 1.3766765505351941e-14 relative error 5.569866649548758e-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 0.1252639727704056 Order of pole (three term test) -24.621909475466534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y[1] (analytic) 2.483403283294039 y[1] (numeric) 2.4834032832940527 absolute error 1.3766765505351941e-14 relative error 5.543507813636861e-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 0.11594087784708727 Order of pole (three term test) -24.682306663804752 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y[1] (analytic) 2.49526500138142 y[1] (numeric) 2.495265001381434 absolute error 1.3766765505351941e-14 relative error 5.517155691972769e-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 0.1065715007242784 Order of pole (three term test) -24.73802311232888 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y[1] (analytic) 2.5072360966405154 y[1] (numeric) 2.50723609664053 absolute error 1.4654943925052066e-14 relative error 5.845059404133681e-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 0.0971595819489492 Order of pole (three term test) -24.789036624420184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y[1] (analytic) 2.5193166754609133 y[1] (numeric) 2.519316675460928 absolute error 1.4654943925052066e-14 relative error 5.817031287807802e-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 0.08770887894756335 Order of pole (three term test) -24.835326877411994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y[1] (analytic) 2.5315068342839275 y[1] (numeric) 2.531506834283942 absolute error 1.4654943925052066e-14 relative error 5.789020091347067e-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 0.07822316453468393 Order of pole (three term test) -24.8768754305875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y[1] (analytic) 2.543806659592955 y[1] (numeric) 2.54380665959297 absolute error 1.509903313490213e-14 relative error 5.935605631804655e-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 0.06870622541562325 Order of pole (three term test) -24.913665732436517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y[1] (analytic) 2.5562162279048275 y[1] (numeric) 2.5562162279048426 absolute error 1.509903313490213e-14 relative error 5.90679026683039e-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 0.05916186068371654 Order of pole (three term test) -24.945683127168348 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y[1] (analytic) 2.568735605762159 y[1] (numeric) 2.5687356057621744 absolute error 1.554312234475219e-14 relative error 6.05088445454878e-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 0.049593880312803575 Order of pole (three term test) -24.972914860478436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y[1] (analytic) 2.5813648497266923 y[1] (numeric) 2.5813648497267083 absolute error 1.5987211554602254e-14 relative error 6.193317289609384e-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 0.04000610364549957 Order of pole (three term test) -24.995350084566578 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y[1] (analytic) 2.5941040063736436 y[1] (numeric) 2.5941040063736596 absolute error 1.5987211554602254e-14 relative error 6.162903073786597e-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 0.030402357877842158 Order of pole (three term test) -25.01297986240484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y[1] (analytic) 2.6069531122870426 y[1] (numeric) 2.6069531122870586 absolute error 1.5987211554602254e-14 relative error 6.132527462519992e-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 0.020786476540900222 Order of pole (three term test) -25.025797171253558 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y[1] (analytic) 2.6199121940560763 y[1] (numeric) 2.6199121940560928 absolute error 1.6431300764452317e-14 relative error 6.27169902935328e-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 0.011162297979932565 Order of pole (three term test) -25.03379690542423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y[1] (analytic) 2.63298126827243 y[1] (numeric) 2.632981268272447 absolute error 1.687538997430238e-14 relative error 6.409232825790203e-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 0.0015336638316842946 Order of pole (three term test) -25.03697587828805 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y[1] (analytic) 2.6461603415286277 y[1] (numeric) 2.646160341528644 absolute error 1.6431300764452317e-14 relative error 6.209487953764858e-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] 3.1599999999999766 y[1] (analytic) 2.6594494104173707 y[1] (numeric) 2.6594494104173876 absolute error 1.687538997430238e-14 relative error 6.345445003841595e-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] 3.1699999999999764 y[1] (analytic) 2.6728484615318826 y[1] (numeric) 2.6728484615319 absolute error 1.7319479184152442e-14 relative error 6.479783434570837e-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] 3.179999999999976 y[1] (analytic) 2.6863574714672467 y[1] (numeric) 2.6863574714672644 absolute error 1.7763568394002505e-14 relative error 6.612511023821532e-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] 3.189999999999976 y[1] (analytic) 2.6999764068227483 y[1] (numeric) 2.6999764068227665 absolute error 1.8207657603852567e-14 relative error 6.743635817647309e-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] 3.1999999999999758 y[1] (analytic) 2.7137052242052135 y[1] (numeric) 2.7137052242052317 absolute error 1.8207657603852567e-14 relative error 6.709519310147329e-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] 3.2099999999999755 y[1] (analytic) 2.7275438702333483 y[1] (numeric) 2.727543870233367 absolute error 1.865174681370263e-14 relative error 6.838293974757196e-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] 3.2199999999999753 y[1] (analytic) 2.7414922815430787 y[1] (numeric) 2.7414922815430973 absolute error 1.865174681370263e-14 relative error 6.803501486863312e-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] 3.229999999999975 y[1] (analytic) 2.755550384793884 y[1] (numeric) 2.755550384793903 absolute error 1.9095836023552692e-14 relative error 6.92995349637966e-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] 3.239999999999975 y[1] (analytic) 2.769718096676134 y[1] (numeric) 2.769718096676153 absolute error 1.9095836023552692e-14 relative error 6.89450527346776e-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] 3.2499999999999747 y[1] (analytic) 2.7839953239194175 y[1] (numeric) 2.783995323919437 absolute error 1.9539925233402755e-14 relative error 7.018663093835116e-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] 3.2599999999999745 y[1] (analytic) 2.7983819633018703 y[1] (numeric) 2.7983819633018903 absolute error 1.9984014443252818e-14 relative error 7.141274745665261e-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] 3.2699999999999743 y[1] (analytic) 2.8128779016604977 y[1] (numeric) 2.8128779016605177 absolute error 1.9984014443252818e-14 relative error 7.104472764870404e-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] 3.279999999999974 y[1] (analytic) 2.827483015902489 y[1] (numeric) 2.827483015902509 absolute error 1.9984014443252818e-14 relative error 7.067775237148234e-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] 3.289999999999974 y[1] (analytic) 2.8421971730175284 y[1] (numeric) 2.842197173017549 absolute error 2.042810365310288e-14 relative error 7.187433668233015e-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] 3.2999999999999736 y[1] (analytic) 2.857020230091096 y[1] (numeric) 2.8570202300911167 absolute error 2.0872192862952943e-14 relative error 7.305581053686636e-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] 3.3099999999999734 y[1] (analytic) 2.871952034318757 y[1] (numeric) 2.8719520343187783 absolute error 2.1316282072803006e-14 relative error 7.422227745478119e-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] 3.319999999999973 y[1] (analytic) 2.886992423021445 y[1] (numeric) 2.8869924230214665 absolute error 2.1316282072803006e-14 relative error 7.383560103179621e-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] 3.329999999999973 y[1] (analytic) 2.902141223661727 y[1] (numeric) 2.902141223661749 absolute error 2.1760371282653068e-14 relative error 7.498040104057132e-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] 3.3399999999999728 y[1] (analytic) 2.9173982538610597 y[1] (numeric) 2.9173982538610814 absolute error 2.1760371282653068e-14 relative error 7.458827828478367e-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] 3.3499999999999726 y[1] (analytic) 2.9327633214180238 y[1] (numeric) 2.932763321418046 absolute error 2.220446049250313e-14 relative error 7.571173688085756e-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] 3.3599999999999723 y[1] (analytic) 2.9482362243275473 y[1] (numeric) 2.94823622432757 absolute error 2.2648549702353193e-14 relative error 7.682067507164905e-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] 3.369999999999972 y[1] (analytic) 2.9638167508011044 y[1] (numeric) 2.9638167508011275 absolute error 2.3092638912203256e-14 relative error 7.791520479787232e-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] 3.379999999999972 y[1] (analytic) 2.979504679287894 y[1] (numeric) 2.9795046792879174 absolute error 2.353672812205332e-14 relative error 7.899543936168152e-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] 3.3899999999999717 y[1] (analytic) 2.995299778496994 y[1] (numeric) 2.995299778497018 absolute error 2.398081733190338e-14 relative error 8.006149335722473e-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] 3.3999999999999715 y[1] (analytic) 3.011201807420494 y[1] (numeric) 3.011201807420518 absolute error 2.398081733190338e-14 relative error 7.963869200930851e-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] 3.4099999999999713 y[1] (analytic) 3.027210515357588 y[1] (numeric) 3.0272105153576128 absolute error 2.4868995751603507e-14 relative error 8.215152406956365e-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] 3.419999999999971 y[1] (analytic) 3.0433256419396546 y[1] (numeric) 3.0433256419396795 absolute error 2.4868995751603507e-14 relative error 8.171651238660522e-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] 3.429999999999971 y[1] (analytic) 3.059546917156284 y[1] (numeric) 3.059546917156309 absolute error 2.531308496145357e-14 relative error 8.273475010143326e-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] 3.4399999999999706 y[1] (analytic) 3.0758740613822857 y[1] (numeric) 3.075874061382311 absolute error 2.531308496145357e-14 relative error 8.229558316206863e-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] 3.4499999999999704 y[1] (analytic) 3.0923067854056465 y[1] (numeric) 3.0923067854056723 absolute error 2.5757174171303632e-14 relative error 8.329436876336584e-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) 3.1088447904564545 y[1] (numeric) 3.1088447904564807 absolute error 2.6201263381153694e-14 relative error 8.427974102015787e-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) 3.1254877682367734 y[1] (numeric) 3.1254877682368 absolute error 2.6645352591003757e-14 relative error 8.525182168937293e-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) 3.1422354009514732 y[1] (numeric) 3.142235400951501 absolute error 2.7533531010703882e-14 relative error 8.762402397467322e-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) 3.159087361340011 y[1] (numeric) 3.1590873613400383 absolute error 2.7533531010703882e-14 relative error 8.715659892047051e-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) 3.176043312709152 y[1] (numeric) 3.17604331270918 absolute error 2.7977620220553945e-14 relative error 8.808954244609829e-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) 3.193102908966644 y[1] (numeric) 3.1931029089666723 absolute error 2.842170943040401e-14 relative error 8.900968819574274e-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) 3.2102657946558235 y[1] (numeric) 3.2102657946558524 absolute error 2.886579864025407e-14 relative error 8.991716102855841e-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) 3.2275316049911615 y[1] (numeric) 3.227531604991191 absolute error 2.930988785010413e-14 relative error 9.081208625433243e-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] 3.5399999999999685 y[1] (analytic) 3.2448999658947417 y[1] (numeric) 3.2448999658947715 absolute error 2.9753977059954195e-14 relative error 9.169458957958938e-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] 3.5499999999999683 y[1] (analytic) 3.262370494033669 y[1] (numeric) 3.2623704940336986 absolute error 2.9753977059954195e-14 relative error 9.120355003936326e-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] 3.559999999999968 y[1] (analytic) 3.279942796858399 y[1] (numeric) 3.2799427968584296 absolute error 3.064215547965432e-14 relative error 9.342283502323287e-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] 3.569999999999968 y[1] (analytic) 3.2976164726419985 y[1] (numeric) 3.2976164726420296 absolute error 3.108624468950438e-14 relative error 9.42688300698552e-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] 3.5799999999999677 y[1] (analytic) 3.315391110520313 y[1] (numeric) 3.315391110520344 absolute error 3.108624468950438e-14 relative error 9.376343138178273e-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] 3.5899999999999674 y[1] (analytic) 3.3332662905330532 y[1] (numeric) 3.3332662905330848 absolute error 3.1530333899354446e-14 relative error 9.45929042300192e-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] 3.5999999999999672 y[1] (analytic) 3.351241583665794 y[1] (numeric) 3.351241583665826 absolute error 3.197442310920451e-14 relative error 9.541067783668679e-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] 3.609999999999967 y[1] (analytic) 3.369316551892872 y[1] (numeric) 3.3693165518929042 absolute error 3.241851231905457e-14 relative error 9.621687906065683e-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] 3.619999999999967 y[1] (analytic) 3.3874907482211896 y[1] (numeric) 3.387490748221222 absolute error 3.241851231905457e-14 relative error 9.570066674301001e-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] 3.6299999999999666 y[1] (analytic) 3.4057637167349126 y[1] (numeric) 3.405763716734946 absolute error 3.3306690738754696e-14 relative error 9.779507185156592e-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] 3.6399999999999664 y[1] (analytic) 3.424134992641064 y[1] (numeric) 3.4241349926410978 absolute error 3.375077994860476e-14 relative error 9.856731706296573e-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] 3.649999999999966 y[1] (analytic) 3.4426041023159994 y[1] (numeric) 3.4426041023160336 absolute error 3.419486915845482e-14 relative error 9.932849709744535e-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] 3.659999999999966 y[1] (analytic) 3.4611705633527716 y[1] (numeric) 3.4611705633528063 absolute error 3.4638958368304884e-14 relative error 1.0007873849115014e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6699999999999657 y[1] (analytic) 3.47983388460937 y[1] (numeric) 3.4798338846094046 absolute error 3.4638958368304884e-14 relative error 9.954198825842314e-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] 3.6799999999999655 y[1] (analytic) 3.4985935662578336 y[1] (numeric) 3.4985935662578687 absolute error 3.5083047578154947e-14 relative error 1.0027757415583568e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6899999999999653 y[1] (analytic) 3.517449099834235 y[1] (numeric) 3.5174490998342707 absolute error 3.552713678800501e-14 relative error 1.0100256117332096e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.699999999999965 y[1] (analytic) 3.5363999682895253 y[1] (numeric) 3.5363999682895617 absolute error 3.6415315207705135e-14 relative error 1.0297284112158382e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.709999999999965 y[1] (analytic) 3.5554456460412394 y[1] (numeric) 3.555445646041276 absolute error 3.68594044175552e-14 relative error 1.036702795853335e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7199999999999647 y[1] (analytic) 3.574585599026052 y[1] (numeric) 3.574585599026089 absolute error 3.68594044175552e-14 relative error 1.031151818761819e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7299999999999645 y[1] (analytic) 3.593819284753186 y[1] (numeric) 3.593819284753223 absolute error 3.730349362740526e-14 relative error 1.0379902457996623e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7399999999999642 y[1] (analytic) 3.6131461523586585 y[1] (numeric) 3.6131461523586963 absolute error 3.774758283725532e-14 relative error 1.0447289217075743e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.749999999999964 y[1] (analytic) 3.6325656426603694 y[1] (numeric) 3.6325656426604076 absolute error 3.8191672047105385e-14 relative error 1.0513690819124492e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.759999999999964 y[1] (analytic) 3.652077188214017 y[1] (numeric) 3.6520771882140557 absolute error 3.863576125695545e-14 relative error 1.0579119571087044e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7699999999999636 y[1] (analytic) 3.671680213369843 y[1] (numeric) 3.671680213369882 absolute error 3.907985046680551e-14 relative error 1.0643587729808933e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.533564701308725 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7799999999999634 y[1] (analytic) 3.691374134330197 y[1] (numeric) 3.6913741343302364 absolute error 3.952393967665557e-14 relative error 1.0707107499366825e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.841424363992722 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.789999999999963 y[1] (analytic) 3.711158359207915 y[1] (numeric) 3.711158359207955 absolute error 3.9968028886505635e-14 relative error 1.076969102850037e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.153887416453099 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.799999999999963 y[1] (analytic) 3.7310322880855096 y[1] (numeric) 3.7310322880855495 absolute error 3.9968028886505635e-14 relative error 1.0712324579483679e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.471121810061335 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8099999999999627 y[1] (analytic) 3.7509953130751574 y[1] (numeric) 3.7509953130751983 absolute error 4.085620730620576e-14 relative error 1.0892097669061294e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.793302603675023 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8199999999999625 y[1] (analytic) 3.7710468183794923 y[1] (numeric) 3.7710468183795336 absolute error 4.1300296516055823e-14 relative error 1.0951944779567477e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.120612368721133 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8299999999999623 y[1] (analytic) 3.79118618035318 y[1] (numeric) 3.791186180353222 absolute error 4.1744385725905886e-14 relative error 1.101090364335973e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.453241621632433 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.839999999999962 y[1] (analytic) 3.811412767565286 y[1] (numeric) 3.811412767565328 absolute error 4.218847493575595e-14 relative error 1.1068986097432256e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.791389285837763 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.849999999999962 y[1] (analytic) 3.8317259408624147 y[1] (numeric) 3.831725940862457 absolute error 4.218847493575595e-14 relative error 1.1010305952690473e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.135263185710787 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8599999999999617 y[1] (analytic) 3.8521250534326263 y[1] (numeric) 3.8521250534326694 absolute error 4.3076653355456074e-14 relative error 1.118256877903548e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.485080575107062 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8699999999999615 y[1] (analytic) 3.872609450870118 y[1] (numeric) 3.8726094508701614 absolute error 4.3520742565306136e-14 relative error 1.1238092329586106e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.841068703369324 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8799999999999613 y[1] (analytic) 3.893178471240662 y[1] (numeric) 3.8931784712407054 absolute error 4.3520742565306136e-14 relative error 1.1178717566327528e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.20346542195674 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.889999999999961 y[1] (analytic) 3.9138314451477987 y[1] (numeric) 3.913831445147843 absolute error 4.440892098500626e-14 relative error 1.1346661604464993e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.572519835161494 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.899999999999961 y[1] (analytic) 3.9345676957997786 y[1] (numeric) 3.934567695799823 absolute error 4.440892098500626e-14 relative error 1.128686158644915e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.94849299871636 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9099999999999606 y[1] (analytic) 3.9553865390772365 y[1] (numeric) 3.9553865390772818 absolute error 4.529709940470639e-14 relative error 1.1452003225776735e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.331658670476116 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9199999999999604 y[1] (analytic) 3.976287283601607 y[1] (numeric) 3.9762872836016525 absolute error 4.529709940470639e-14 relative error 1.1391807526461611e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.267525626352306 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.92999999999996 y[1] (analytic) 3.9972692308042586 y[1] (numeric) 3.9972692308043047 absolute error 4.618527782440651e-14 relative error 1.1554207424530658e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.88599376702037 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.93999999999996 y[1] (analytic) 4.018331674996352 y[1] (numeric) 4.018331674996398 absolute error 4.618527782440651e-14 relative error 1.1493645014867629e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.511972355076207 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9499999999999598 y[1] (analytic) 4.039473903439407 y[1] (numeric) 4.039473903439454 absolute error 4.707345624410664e-14 relative error 1.1653363128308856e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.14516914423352 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9599999999999596 y[1] (analytic) 4.060695196416578 y[1] (numeric) 4.060695196416625 absolute error 4.707345624410664e-14 relative error 1.1592462365963179e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.785305894116792 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9699999999999593 y[1] (analytic) 4.081994827304621 y[1] (numeric) 4.081994827304669 absolute error 4.796163466380676e-14 relative error 1.174955792275618e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.432117519791618 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.979999999999959 y[1] (analytic) 4.103372062646561 y[1] (numeric) 4.103372062646609 absolute error 4.796163466380676e-14 relative error 1.1688346543177671e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.08535130201765 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.989999999999959 y[1] (analytic) 4.124826162225031 y[1] (numeric) 4.12482616222508 absolute error 4.884981308350689e-14 relative error 1.1842878017714113e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.744766153210122 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9999999999999587 y[1] (analytic) 4.146356379136299 y[1] (numeric) 4.146356379136348 absolute error 4.884981308350689e-14 relative error 1.1781383126956994e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.410131934563086 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.009999999999959 y[1] (analytic) 4.167961959864953 y[1] (numeric) 4.167961959865001 absolute error 4.796163466380676e-14 relative error 1.150721506713578e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.081228820205748 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.019999999999959 y[1] (analytic) 4.189642144359251 y[1] (numeric) 4.1896421443593 absolute error 4.884981308350689e-14 relative error 1.1659662424695656e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.75784670464002 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0299999999999585 y[1] (analytic) 4.211396166107134 y[1] (numeric) 4.211396166107183 absolute error 4.884981308350689e-14 relative error 1.1599434286578157e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.439784650043997 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039999999999958 y[1] (analytic) 4.233223252212867 y[1] (numeric) 4.233223252212917 absolute error 4.973799150320701e-14 relative error 1.1749437376638964e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.12685037033109 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049999999999958 y[1] (analytic) 4.255122623474334 y[1] (numeric) 4.255122623474384 absolute error 5.062616992290714e-14 relative error 1.1897699409087902e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.818859749127565 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.059999999999958 y[1] (analytic) 4.277093494460953 y[1] (numeric) 4.2770934944610035 absolute error 5.062616992290714e-14 relative error 1.1836582480245176e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.515636389078503 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.069999999999958 y[1] (analytic) 4.299135073592222 y[1] (numeric) 4.299135073592272 absolute error 5.062616992290714e-14 relative error 1.1775896559724862e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.217011190115072 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.079999999999957 y[1] (analytic) 4.321246563216874 y[1] (numeric) 4.321246563216926 absolute error 5.1514348342607263e-14 relative error 1.1921177740956843e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.922821954517971 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.089999999999957 y[1] (analytic) 4.343427159692646 y[1] (numeric) 4.343427159692698 absolute error 5.240252676230739e-14 relative error 1.2064787743790677e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.099999999999957 y[1] (analytic) 4.365676053466635 y[1] (numeric) 4.365676053466688 absolute error 5.240252676230739e-14 relative error 1.2003301692688883e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.109999999999957 y[1] (analytic) 4.3879924291562595 y[1] (numeric) 4.387992429156312 absolute error 5.240252676230739e-14 relative error 1.1942255509402407e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.119999999999957 y[1] (analytic) 4.410375465630793 y[1] (numeric) 4.410375465630845 absolute error 5.240252676230739e-14 relative error 1.1881647531070812e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.129999999999956 y[1] (analytic) 4.432824336093477 y[1] (numeric) 4.43282433609353 absolute error 5.3290705182007514e-14 relative error 1.2021840059868266e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.139999999999956 y[1] (analytic) 4.455338208164203 y[1] (numeric) 4.455338208164257 absolute error 5.417888360170764e-14 relative error 1.2160442388509883e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.149999999999956 y[1] (analytic) 4.477916243962746 y[1] (numeric) 4.4779162439628 absolute error 5.417888360170764e-14 relative error 1.209912840034763e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.159999999999956 y[1] (analytic) 4.500557600192553 y[1] (numeric) 4.500557600192607 absolute error 5.417888360170764e-14 relative error 1.2038260236773692e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1699999999999555 y[1] (analytic) 4.523261428225075 y[1] (numeric) 4.523261428225129 absolute error 5.417888360170764e-14 relative error 1.1977836006478052e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.179999999999955 y[1] (analytic) 4.546026874184621 y[1] (numeric) 4.546026874184676 absolute error 5.5067062021407764e-14 relative error 1.2113228440006668e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.189999999999955 y[1] (analytic) 4.568853079033757 y[1] (numeric) 4.568853079033812 absolute error 5.5067062021407764e-14 relative error 1.2052710181053494e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.199999999999955 y[1] (analytic) 4.591739178659197 y[1] (numeric) 4.591739178659253 absolute error 5.595524044110789e-14 relative error 1.2186066817812375e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.209999999999955 y[1] (analytic) 4.614684303958222 y[1] (numeric) 4.6146843039582786 absolute error 5.684341886080802e-14 relative error 1.2317943139046557e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2199999999999545 y[1] (analytic) 4.6376875809255855 y[1] (numeric) 4.637687580925642 absolute error 5.684341886080802e-14 relative error 1.225684522057936e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.229999999999954 y[1] (analytic) 4.660748130740914 y[1] (numeric) 4.660748130740971 absolute error 5.684341886080802e-14 relative error 1.2196200538253862e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.239999999999954 y[1] (analytic) 4.683865069856589 y[1] (numeric) 4.683865069856646 absolute error 5.684341886080802e-14 relative error 1.2136006911605686e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.249999999999954 y[1] (analytic) 4.7070375100861 y[1] (numeric) 4.707037510086158 absolute error 5.773159728050814e-14 relative error 1.2264953732958912e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.259999999999954 y[1] (analytic) 4.730264558692864 y[1] (numeric) 4.730264558692923 absolute error 5.861977570020827e-14 relative error 1.2392494113776785e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.269999999999953 y[1] (analytic) 4.753545318479498 y[1] (numeric) 4.753545318479557 absolute error 5.950795411990839e-14 relative error 1.2518646638030374e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.279999999999953 y[1] (analytic) 4.776878887877535 y[1] (numeric) 4.7768788878775945 absolute error 5.950795411990839e-14 relative error 1.2457496938204558e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.289999999999953 y[1] (analytic) 4.800264361037584 y[1] (numeric) 4.8002643610376445 absolute error 6.039613253960852e-14 relative error 1.2581834665154525e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.299999999999953 y[1] (analytic) 4.823700827919914 y[1] (numeric) 4.823700827919975 absolute error 6.128431095930864e-14 relative error 1.270483248144056e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3099999999999525 y[1] (analytic) 4.847187374385453 y[1] (numeric) 4.8471873743855145 absolute error 6.128431095930864e-14 relative error 1.2643272526075707e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.319999999999952 y[1] (analytic) 4.870723082287207 y[1] (numeric) 4.8707230822872685 absolute error 6.128431095930864e-14 relative error 1.2582179262494756e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.329999999999952 y[1] (analytic) 4.89430702956207 y[1] (numeric) 4.894307029562131 absolute error 6.128431095930864e-14 relative error 1.2521550157999019e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.339999999999952 y[1] (analytic) 4.917938290323028 y[1] (numeric) 4.91793829032309 absolute error 6.217248937900877e-14 relative error 1.2641982413920255e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.349999999999952 y[1] (analytic) 4.941615934951754 y[1] (numeric) 4.941615934951817 absolute error 6.306066779870889e-14 relative error 1.2761143040818806e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3599999999999515 y[1] (analytic) 4.965339030191561 y[1] (numeric) 4.965339030191625 absolute error 6.394884621840902e-14 relative error 1.287904931155162e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.369999999999951 y[1] (analytic) 4.989106639240733 y[1] (numeric) 4.989106639240798 absolute error 6.483702463810914e-14 relative error 1.299571833725654e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.379999999999951 y[1] (analytic) 5.0129178218462 y[1] (numeric) 5.012917821846265 absolute error 6.483702463810914e-14 relative error 1.293398913414272e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.389999999999951 y[1] (analytic) 5.036771634397565 y[1] (numeric) 5.036771634397629 absolute error 6.483702463810914e-14 relative error 1.287273462932455e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399999999999951 y[1] (analytic) 5.0606671300214625 y[1] (numeric) 5.060667130021527 absolute error 6.483702463810914e-14 relative error 1.2811952055387243e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.40999999999995 y[1] (analytic) 5.084603358676248 y[1] (numeric) 5.084603358676314 absolute error 6.572520305780927e-14 relative error 1.2926318617490058e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.41999999999995 y[1] (analytic) 5.108579367246999 y[1] (numeric) 5.108579367247065 absolute error 6.661338147750939e-14 relative error 1.3039511905128174e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.42999999999995 y[1] (analytic) 5.132594199640826 y[1] (numeric) 5.132594199640892 absolute error 6.661338147750939e-14 relative error 1.2978501491929937e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.43999999999995 y[1] (analytic) 5.15664689688248 y[1] (numeric) 5.156646896882547 absolute error 6.750155989720952e-14 relative error 1.3090204011839261e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4499999999999496 y[1] (analytic) 5.180736497210252 y[1] (numeric) 5.1807364972103205 absolute error 6.838973831690964e-14 relative error 1.3200775286242888e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.459999999999949 y[1] (analytic) 5.204862036172147 y[1] (numeric) 5.204862036172216 absolute error 6.838973831690964e-14 relative error 1.3139587147867237e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.469999999999949 y[1] (analytic) 5.2290225467223275 y[1] (numeric) 5.229022546722397 absolute error 6.927791673660977e-14 relative error 1.32487316927013e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.479999999999949 y[1] (analytic) 5.253217059317818 y[1] (numeric) 5.253217059317887 absolute error 6.927791673660977e-14 relative error 1.3187712587228633e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.489999999999949 y[1] (analytic) 5.277444602015457 y[1] (numeric) 5.277444602015527 absolute error 7.016609515630989e-14 relative error 1.3295467872749143e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4999999999999485 y[1] (analytic) 5.3017042005690955 y[1] (numeric) 5.301704200569166 absolute error 7.016609515630989e-14 relative error 1.3234630319205309e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.509999999999948 y[1] (analytic) 5.325994878527014 y[1] (numeric) 5.325994878527085 absolute error 7.105427357601002e-14 relative error 1.3341033026990286e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.519999999999948 y[1] (analytic) 5.350315657329572 y[1] (numeric) 5.350315657329644 absolute error 7.194245199571014e-14 relative error 1.3446393933253981e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.529999999999948 y[1] (analytic) 5.374665556407061 y[1] (numeric) 5.374665556407134 absolute error 7.283063041541027e-14 relative error 1.3550727882703311e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.539999999999948 y[1] (analytic) 5.39904359327776 y[1] (numeric) 5.399043593277834 absolute error 7.37188088351104e-14 relative error 1.3654049566648469e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.549999999999947 y[1] (analytic) 5.423448783646185 y[1] (numeric) 5.4234487836462595 absolute error 7.460698725481052e-14 relative error 1.3756373523758482e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.559999999999947 y[1] (analytic) 5.447880141501516 y[1] (numeric) 5.4478801415015905 absolute error 7.460698725481052e-14 relative error 1.3694682209775588e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.569999999999947 y[1] (analytic) 5.4723366792161965 y[1] (numeric) 5.472336679216272 absolute error 7.549516567451064e-14 relative error 1.379578233211408e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.579999999999947 y[1] (analytic) 5.496817407644699 y[1] (numeric) 5.496817407644775 absolute error 7.549516567451064e-14 relative error 1.3734341178863924e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.589999999999947 y[1] (analytic) 5.521321336222436 y[1] (numeric) 5.5213213362225115 absolute error 7.549516567451064e-14 relative error 1.3673387415296271e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.599999999999946 y[1] (analytic) 5.545847473064814 y[1] (numeric) 5.545847473064891 absolute error 7.638334409421077e-14 relative error 1.3773069754476834e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.609999999999946 y[1] (analytic) 5.570394825066425 y[1] (numeric) 5.5703948250665025 absolute error 7.72715225139109e-14 relative error 1.3871821466980028e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.619999999999946 y[1] (analytic) 5.594962398000355 y[1] (numeric) 5.594962398000433 absolute error 7.815970093361102e-14 relative error 1.396965616096819e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.629999999999946 y[1] (analytic) 5.619549196617604 y[1] (numeric) 5.619549196617682 absolute error 7.815970093361102e-14 relative error 1.3908535755974018e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6399999999999455 y[1] (analytic) 5.644154224746612 y[1] (numeric) 5.64415422474669 absolute error 7.815970093361102e-14 relative error 1.3847903126197782e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.649999999999945 y[1] (analytic) 5.668776485392874 y[1] (numeric) 5.668776485392952 absolute error 7.815970093361102e-14 relative error 1.3787754930011882e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.659999999999945 y[1] (analytic) 5.6934149808386385 y[1] (numeric) 5.6934149808387176 absolute error 7.904787935331115e-14 relative error 1.3884088832335107e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.669999999999945 y[1] (analytic) 5.718068712742683 y[1] (numeric) 5.718068712742762 absolute error 7.904787935331115e-14 relative error 1.3824226906744476e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.679999999999945 y[1] (analytic) 5.742736682240139 y[1] (numeric) 5.742736682240219 absolute error 7.993605777301127e-14 relative error 1.3919506011867088e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.689999999999944 y[1] (analytic) 5.767417890042386 y[1] (numeric) 5.7674178900424655 absolute error 7.993605777301127e-14 relative error 1.3859938588986796e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.699999999999944 y[1] (analytic) 5.792111336536972 y[1] (numeric) 5.792111336537053 absolute error 8.08242361927114e-14 relative error 1.395419243460799e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.709999999999944 y[1] (analytic) 5.81681602188758 y[1] (numeric) 5.816816021887662 absolute error 8.171241461241152e-14 relative error 1.4047618887195872e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.719999999999944 y[1] (analytic) 5.841530946134009 y[1] (numeric) 5.841530946134092 absolute error 8.260059303211165e-14 relative error 1.4140230325541227e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0073389134773086265 Order of pole (three term test) -0.894257651745016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y[1] (analytic) 5.866255109292167 y[1] (numeric) 5.866255109292251 absolute error 8.348877145181177e-14 relative error 1.4232038991888588e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.016978536313896734 Order of pole (three term test) -0.9003549199517773 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y[1] (analytic) 5.890987511454071 y[1] (numeric) 5.8909875114541554 absolute error 8.43769498715119e-14 relative error 1.4323056992983704e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.026611353980064385 Order of pole (three term test) -0.9112844839455715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y[1] (analytic) 5.915727152887836 y[1] (numeric) 5.9157271528879205 absolute error 8.43769498715119e-14 relative error 1.426315779799314e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03623350556415961 Order of pole (three term test) -0.9270419540531252 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y[1] (analytic) 5.940473034137646 y[1] (numeric) 5.940473034137732 absolute error 8.526512829121202e-14 relative error 1.4353255675301555e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.045841134455908615 Order of pole (three term test) -0.9476210015836062 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y[1] (analytic) 5.965224156123705 y[1] (numeric) 5.96522415612379 absolute error 8.526512829121202e-14 relative error 1.429370063213494e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05543038990163343 Order of pole (three term test) -0.9730133614015779 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y[1] (analytic) 5.989979520242133 y[1] (numeric) 5.989979520242219 absolute error 8.615330671091215e-14 relative error 1.4382905053309694e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06499742855704904 Order of pole (three term test) -1.0032088352871373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y[1] (analytic) 6.0147381284648365 y[1] (numeric) 6.014738128464923 absolute error 8.615330671091215e-14 relative error 1.4323700362479683e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07453841603700158 Order of pole (three term test) -1.0381952960818148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y[1] (analytic) 6.039498983439303 y[1] (numeric) 6.03949898343939 absolute error 8.704148513061227e-14 relative error 1.441203738410846e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08404952846150518 Order of pole (three term test) -1.0779586926184568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y[1] (analytic) 6.064261088588342 y[1] (numeric) 6.06426108858843 absolute error 8.79296635503124e-14 relative error 1.4499650042406229e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09352695399744085 Order of pole (three term test) -1.1224830554330052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y[1] (analytic) 6.089023448209735 y[1] (numeric) 6.089023448209824 absolute error 8.881784197001252e-14 relative error 1.4586549505918934e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10296689439528016 Order of pole (three term test) -1.1717505032557325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y[1] (analytic) 6.113785067575811 y[1] (numeric) 6.1137850675759 absolute error 8.881784197001252e-14 relative error 1.4527472095977666e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11236556652020065 Order of pole (three term test) -1.2257412502791734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y[1] (analytic) 6.138544953032911 y[1] (numeric) 6.1385449530330005 absolute error 8.970602038971265e-14 relative error 1.4613564138744477e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12171920387696032 Order of pole (three term test) -1.2844336141996575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y[1] (analytic) 6.163302112100761 y[1] (numeric) 6.163302112100852 absolute error 9.059419880941277e-14 relative error 1.4698970967453312e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13102405812790502 Order of pole (three term test) -1.347804025029032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y[1] (analytic) 6.188055553571717 y[1] (numeric) 6.188055553571807 absolute error 9.059419880941277e-14 relative error 1.4640172187388045e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14027640060347835 Order of pole (three term test) -1.4158270346727981 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y[1] (analytic) 6.212804287609877 y[1] (numeric) 6.212804287609968 absolute error 9.14823772291129e-14 relative error 1.472481233821499e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14947252380461806 Order of pole (three term test) -1.4884753272706301 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y[1] (analytic) 6.237547325850074 y[1] (numeric) 6.237547325850167 absolute error 9.237055564881302e-14 relative error 1.4808794358321673e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1586087428964147 Order of pole (three term test) -1.5657197302948376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y[1] (analytic) 6.26228368149671 y[1] (numeric) 6.262283681496802 absolute error 9.237055564881302e-14 relative error 1.475029882816425e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16768139719242275 Order of pole (three term test) -1.647529226402093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y[1] (analytic) 6.287012369422427 y[1] (numeric) 6.28701236942252 absolute error 9.325873406851315e-14 relative error 1.48335534572967e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17668685162900896 Order of pole (three term test) -1.7338709660333507 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y[1] (analytic) 6.3117324062666285 y[1] (numeric) 6.311732406266722 absolute error 9.325873406851315e-14 relative error 1.4775457523503508e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1856214982291365 Order of pole (three term test) -1.8247102807566469 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y[1] (analytic) 6.336442810533809 y[1] (numeric) 6.336442810533903 absolute error 9.414691248821327e-14 relative error 1.4858007134807856e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19448175755498093 Order of pole (three term test) -1.9200106973470832 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y[1] (analytic) 6.361142602691705 y[1] (numeric) 6.361142602691799 absolute error 9.414691248821327e-14 relative error 1.480031471836132e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20326408014878244 Order of pole (three term test) -2.0197339525980436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y[1] (analytic) 6.385830805269245 y[1] (numeric) 6.3858308052693395 absolute error 9.414691248821327e-14 relative error 1.474309535581937e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21196494796134271 Order of pole (three term test) -2.12384000885733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y[1] (analytic) 6.410506442954301 y[1] (numeric) 6.410506442954396 absolute error 9.50350909079134e-14 relative error 1.4824895935073142e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2205808757675839 Order of pole (three term test) -2.2322870702816906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y[1] (analytic) 6.43516854269121 y[1] (numeric) 6.435168542691306 absolute error 9.592326932761353e-14 relative error 1.490610054596924e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22910841256858552 Order of pole (three term test) -2.3450315998027733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y[1] (analytic) 6.459816133778092 y[1] (numeric) 6.459816133778188 absolute error 9.592326932761353e-14 relative error 1.484922594406906e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.237544142979529 Order of pole (three term test) -2.4620283367973874 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y[1] (analytic) 6.484448247963903 y[1] (numeric) 6.484448247964 absolute error 9.681144774731365e-14 relative error 1.4929789558843676e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24588468860298224 Order of pole (three term test) -2.583230315454562 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y[1] (analytic) 6.509063919545275 y[1] (numeric) 6.509063919545372 absolute error 9.681144774731365e-14 relative error 1.4873328783361668e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2541267093869621 Order of pole (three term test) -2.708588883831635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y[1] (analytic) 6.533662185463074 y[1] (numeric) 6.533662185463171 absolute error 9.681144774731365e-14 relative error 1.481733291364713e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26226690496722116 Order of pole (three term test) -2.838053723591315 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = (0.1 * x + 1.0) - sin(x); Iterations 491 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.40816326530484%