##############ECHO OF PROBLEM################# ##############temp/lin_arcsinpostode.ode################# diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ; ! #BEGIN FIRST INPUT BLOCK max_terms=30 # Digits:=32; ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=-0.8 x_end=0.8 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=100 #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(10.0 * (0.1 * x + 0.2) * arcsin(0.1 * x + 0.2 ) + 10.0 * sqrt(1.0 - expt((0.1 * x + 0.2) , 2 ))) 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 1.6 estimated_steps 1600000.0000000002 step_error 6.249999999999999e-17 est_needed_step_err 6.249999999999999e-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 2.8509263621690866e-184 estimated_step_error 2.8509263621690866e-184 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 1.9132243933102347e-176 estimated_step_error 1.9132243933102347e-176 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 1.2839432878991078e-168 estimated_step_error 1.2839432878991078e-168 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 8.61639931782454e-161 estimated_step_error 8.61639931782454e-161 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 5.782370073794332e-153 estimated_step_error 5.782370073794332e-153 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 3.880486054995988e-145 estimated_step_error 3.880486054995988e-145 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 2.6041543856376396e-137 estimated_step_error 2.6041543856376396e-137 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 1.7476241647921564e-129 estimated_step_error 1.7476241647921564e-129 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 1.1728184278667708e-121 estimated_step_error 1.1728184278667708e-121 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 7.870754639100936e-114 estimated_step_error 7.870754639100936e-114 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 5.282112815692789e-106 estimated_step_error 5.282112815692789e-106 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 3.544952200337044e-98 estimated_step_error 3.544952200337044e-98 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 2.3792272311696905e-90 estimated_step_error 2.3792272311696905e-90 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 1.5970081258553337e-82 estimated_step_error 1.5970081258553337e-82 best_h 0.016384 opt_iter 15 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.072184946902944e-74 estimated_step_error 1.072184946902944e-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 7.201371451878794e-67 estimated_step_error 7.201371451878794e-67 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 4.84091298322985e-59 estimated_step_error 4.84091298322985e-59 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 3.25968198404761e-51 estimated_step_error 3.25968198404761e-51 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] -0.8 y[1] (analytic) 10.072086775666431 y[1] (numeric) 10.072086775666431 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.765921825451008 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 12.062193004902865 Order of pole (three term test) 811.9001320718543 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.79 y[1] (analytic) 10.073294711088748 y[1] (numeric) 10.073294711088748 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.761099570483248 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 11.833842725256492 Order of pole (three term test) 797.1864854752104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.78 y[1] (analytic) 10.074512720530736 y[1] (numeric) 10.074512720530736 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.756019239182983 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 11.623283486361178 Order of pole (three term test) 783.6601211209365 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.77 y[1] (analytic) 10.075740805234805 y[1] (numeric) 10.075740805234805 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.750690967848671 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 11.428658647629367 Order of pole (three term test) 771.1975581773278 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.76 y[1] (analytic) 10.076978966454057 y[1] (numeric) 10.076978966454057 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.745124506817037 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 11.248356481222494 Order of pole (three term test) 759.6915956583997 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.75 y[1] (analytic) 10.078227205452297 y[1] (numeric) 10.078227205452297 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.739329234272757 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 11.080971051054908 Order of pole (three term test) 749.0487118366125 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.74 y[1] (analytic) 10.079485523504044 y[1] (numeric) 10.079485523504045 absolute error 1.7763568394002505e-15 relative error 1.7623487183527554e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.733314169632836 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 10.925270364934788 Order of pole (three term test) 739.1869471576681 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.73 y[1] (analytic) 10.080753921894546 y[1] (numeric) 10.080753921894546 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.727087986512899 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 10.78017026963549 Order of pole (three term test) 730.034168932481 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.72 y[1] (analytic) 10.082032401919786 y[1] (numeric) 10.082032401919786 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.720659025283465 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 10.644712915813052 Order of pole (three term test) 721.5266398219617 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.71 y[1] (analytic) 10.083320964886498 y[1] (numeric) 10.0833209648865 absolute error 1.7763568394002505e-15 relative error 1.7616783652787808e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.714035305224224 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 10.518048885810996 Order of pole (three term test) 713.6078298218563 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7 y[1] (analytic) 10.084619612112183 y[1] (numeric) 10.084619612112185 absolute error 1.7763568394002505e-15 relative error 1.7614515050887475e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.70722453628486 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 10.399422277394695 Order of pole (three term test) 706.2274247504216 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.69 y[1] (analytic) 10.085928344925117 y[1] (numeric) 10.085928344925117 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.700234130461102 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 10.288158188215156 Order of pole (three term test) 699.3404943302991 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6799999999999999 y[1] (analytic) 10.087247164664358 y[1] (numeric) 10.087247164664358 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.693071212794795 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 10.183652161853802 Order of pole (three term test) 692.9067906707901 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6699999999999999 y[1] (analytic) 10.088576072679771 y[1] (numeric) 10.088576072679771 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.68574263200709 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 10.085361245761442 Order of pole (three term test) 686.8901539039817 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6599999999999999 y[1] (analytic) 10.089915070332035 y[1] (numeric) 10.089915070332033 absolute error 1.7763568394002505e-15 relative error 1.7605270480654253e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.67825497077376 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.992796380871209 Order of pole (three term test) 681.2580063461415 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6499999999999999 y[1] (analytic) 10.091264158992647 y[1] (numeric) 10.091264158992646 absolute error 1.7763568394002505e-15 relative error 1.760291685375496e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.670614555651742 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.905515896989911 Order of pole (three term test) 675.9809201672316 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6399999999999999 y[1] (analytic) 10.092623340043954 y[1] (numeric) 10.092623340043952 absolute error 1.7763568394002505e-15 relative error 1.760054625592036e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.662827466666212 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.82311993081293 Order of pole (three term test) 671.0322463926491 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6299999999999999 y[1] (analytic) 10.093992614879147 y[1] (numeric) 10.093992614879145 absolute error 1.7763568394002505e-15 relative error 1.759815869868772e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.654899546567178 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.745245617292625 Order of pole (three term test) 666.3877953139779 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6199999999999999 y[1] (analytic) 10.095371984902286 y[1] (numeric) 10.095371984902284 absolute error 1.7763568394002505e-15 relative error 1.759575419367218e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.646836409764777 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.671562932042471 Order of pole (three term test) 662.0255601771845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6099999999999999 y[1] (analytic) 10.096761451528309 y[1] (numeric) 10.096761451528309 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.638643450952399 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.60177108409565 Order of pole (three term test) 657.9254774551283 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5999999999999999 y[1] (analytic) 10.098161016183049 y[1] (numeric) 10.098161016183047 absolute error 1.7763568394002505e-15 relative error 1.7590894387141454e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.630325853426509 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.535595375740485 Order of pole (three term test) 654.0692181681727 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5899999999999999 y[1] (analytic) 10.099570680303238 y[1] (numeric) 10.099570680303236 absolute error 1.7763568394002505e-15 relative error 1.7588439109244548e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.621888597112118 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.4727844602432 Order of pole (three term test) 650.4400056532475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5799999999999998 y[1] (analytic) 10.100990445336533 y[1] (numeric) 10.100990445336532 absolute error 1.7763568394002505e-15 relative error 1.758596693080099e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.613336466302735 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.413107939750429 Order of pole (three term test) 647.0224559450277 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5699999999999998 y[1] (analytic) 10.102420312741522 y[1] (numeric) 10.10242031274152 absolute error 1.7763568394002505e-15 relative error 1.758347786381297e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.604674057123347 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.356354255028403 Order of pole (three term test) 643.8024375554334 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5599999999999998 y[1] (analytic) 10.10386028398774 y[1] (numeric) 10.103860283987737 absolute error 1.7763568394002505e-15 relative error 1.7580971920359602e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.595905784725002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.302328826393419 Order of pole (three term test) 640.7669479493784 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5499999999999998 y[1] (analytic) 10.105310360555679 y[1] (numeric) 10.105310360555677 absolute error 1.7763568394002505e-15 relative error 1.757844911259678e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.587035890219454 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.250852411525617 Order of pole (three term test) 637.9040044359889 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5399999999999998 y[1] (analytic) 10.106770543936813 y[1] (numeric) 10.106770543936811 absolute error 1.7763568394002505e-15 relative error 1.7575909452757002e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.578068447361877 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.201759651131411 Order of pole (three term test) 635.2025475451466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5299999999999998 y[1] (analytic) 10.108240835633602 y[1] (numeric) 10.1082408356336 absolute error 1.7763568394002505e-15 relative error 1.7573352953149194e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.569007368989988 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.154897777751177 Order of pole (three term test) 632.6523552470484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5199999999999998 y[1] (analytic) 10.109721237159507 y[1] (numeric) 10.109721237159505 absolute error 1.7763568394002505e-15 relative error 1.7570779626158586e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.559856413227209 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.11012546667986 Order of pole (three term test) 630.2439666166124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5099999999999998 y[1] (analytic) 10.111211750039011 y[1] (numeric) 10.111211750039008 absolute error 3.552713678800501e-15 relative error 3.513637896849301e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.550619189457738 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.067311811001707 Order of pole (three term test) 627.968613746208 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4999999999999998 y[1] (analytic) 10.112712375807623 y[1] (numeric) 10.112712375807622 absolute error 1.7763568394002505e-15 relative error 1.7565582539950234e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.541299164081057 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 9.026335405296981 Order of pole (three term test) 625.8181608801087 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48999999999999977 y[1] (analytic) 10.114223116011908 y[1] (numeric) 10.114223116011905 absolute error 3.552713678800501e-15 relative error 3.5125917611765665e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.531899666053148 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.98708352474948 Order of pole (three term test) 623.78504988848 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47999999999999976 y[1] (analytic) 10.115743972209481 y[1] (numeric) 10.115743972209481 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.522423892221713 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.949451388195872 Order of pole (three term test) 621.8622513191159 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46999999999999975 y[1] (analytic) 10.117274945969049 y[1] (numeric) 10.117274945969047 absolute error 1.7763568394002505e-15 relative error 1.755766101926479e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.512874912462342 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.913341495211343 Order of pole (three term test) 620.0432203684497 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45999999999999974 y[1] (analytic) 10.118816038870396 y[1] (numeric) 10.118816038870394 absolute error 1.7763568394002505e-15 relative error 1.7554986992317656e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.503255674622379 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.878663028640181 Order of pole (three term test) 618.3218572007308 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.44999999999999973 y[1] (analytic) 10.120367252504419 y[1] (numeric) 10.120367252504417 absolute error 1.7763568394002505e-15 relative error 1.7552296226806073e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.493569009279254 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.845331315105513 Order of pole (three term test) 616.6924711190904 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4399999999999997 y[1] (analytic) 10.12192858847314 y[1] (numeric) 10.12192858847314 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.483817634319626 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.81326733698724 Order of pole (three term test) 615.1497481556834 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4299999999999997 y[1] (analytic) 10.123500048389714 y[1] (numeric) 10.123500048389714 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.474004159345562 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.782397290187388 Order of pole (three term test) 613.688721703311 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4199999999999997 y[1] (analytic) 10.125081633878452 y[1] (numeric) 10.12508163387845 absolute error 1.7763568394002505e-15 relative error 1.754412362915251e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.464131089914007 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.752652182708243 Order of pole (three term test) 612.3047458578709 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4099999999999997 y[1] (analytic) 10.12667334657483 y[1] (numeric) 10.126673346574828 absolute error 1.7763568394002505e-15 relative error 1.754136604002411e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.454200831615278 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.723967469671292 Order of pole (three term test) 610.9934711810065 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3999999999999997 y[1] (analytic) 10.128275188125508 y[1] (numeric) 10.128275188125508 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.443729929830722 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.696282720950023 Order of pole (three term test) 609.7508226286516 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3899999999999997 y[1] (analytic) 10.129887160188357 y[1] (numeric) 10.129887160188355 absolute error 1.7763568394002505e-15 relative error 1.7535800856514382e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.431577488378638 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.66954131802868 Order of pole (three term test) 608.5729794202667 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37999999999999967 y[1] (analytic) 10.131509264432447 y[1] (numeric) 10.131509264432445 absolute error 1.7763568394002505e-15 relative error 1.7532993288929886e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.419465353996118 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.643690177104212 Order of pole (three term test) 607.4563566505407 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36999999999999966 y[1] (analytic) 10.133141502538093 y[1] (numeric) 10.133141502538091 absolute error 1.7763568394002505e-15 relative error 1.7530169088779807e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.407391802645083 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.61867949579611 Order of pole (three term test) 606.3975884684497 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35999999999999965 y[1] (analytic) 10.134783876196853 y[1] (numeric) 10.13478387619685 absolute error 1.7763568394002505e-15 relative error 1.7527328269646737e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.395355183889016 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.594462521120668 Order of pole (three term test) 605.3935126679173 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34999999999999964 y[1] (analytic) 10.136436387111551 y[1] (numeric) 10.13643638711155 absolute error 1.7763568394002505e-15 relative error 1.7524470845186606e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.383353917742559 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.5709953366588 Order of pole (three term test) 604.4411565524954 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.33999999999999964 y[1] (analytic) 10.138099036996294 y[1] (numeric) 10.138099036996293 absolute error 1.7763568394002505e-15 relative error 1.7521596829128506e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.371386491657287 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.548236667069919 Order of pole (three term test) 603.5377239513068 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3299999999999996 y[1] (analytic) 10.139771827576482 y[1] (numeric) 10.139771827576482 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.359451457637672 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.5261476983079 Order of pole (three term test) 602.6805832770247 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3199999999999996 y[1] (analytic) 10.141454760588838 y[1] (numeric) 10.141454760588836 absolute error 1.7763568394002505e-15 relative error 1.7515799077499516e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.347547429481521 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.504691912073406 Order of pole (three term test) 601.8672565285264 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3099999999999996 y[1] (analytic) 10.143147837781404 y[1] (numeric) 10.143147837781404 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.335673080139351 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.483834933189703 Order of pole (three term test) 601.0954091510004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2999999999999996 y[1] (analytic) 10.144851060913583 y[1] (numeric) 10.144851060913583 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.323827139187426 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.463544388732787 Order of pole (three term test) 600.3628406758728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2899999999999996 y[1] (analytic) 10.146564431756136 y[1] (numeric) 10.146564431756136 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.312008390409693 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.443789777858255 Order of pole (three term test) 599.6674760702906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2799999999999996 y[1] (analytic) 10.148287952091211 y[1] (numeric) 10.14828795209121 absolute error 1.7763568394002505e-15 relative error 1.7504005087224637e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.30021566948352 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.424542351386442 Order of pole (three term test) 599.0073577338701 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2699999999999996 y[1] (analytic) 10.150021623712348 y[1] (numeric) 10.150021623712348 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.28844786176497 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.4057750002908 Order of pole (three term test) 598.3806380859139 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25999999999999956 y[1] (analytic) 10.151765448424518 y[1] (numeric) 10.151765448424516 absolute error 1.7763568394002505e-15 relative error 1.7498009074627788e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.276703900169105 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.387462152331054 Order of pole (three term test) 597.7855726927744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24999999999999956 y[1] (analytic) 10.153519428044111 y[1] (numeric) 10.153519428044111 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.264982763141262 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.369579676135302 Order of pole (three term test) 597.2205138891427 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23999999999999955 y[1] (analytic) 10.155283564398985 y[1] (numeric) 10.155283564398985 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.253283472715253 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.3521047921109 Order of pole (three term test) 596.6839048521144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22999999999999954 y[1] (analytic) 10.157057859328457 y[1] (numeric) 10.157057859328459 absolute error 1.7763568394002505e-15 relative error 1.748889160623228e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.241605092654869 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.335015989625186 Order of pole (three term test) 596.1742740909741 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21999999999999953 y[1] (analytic) 10.158842314683342 y[1] (numeric) 10.158842314683342 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.2299467266748 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.31829294993524 Order of pole (three term test) 595.6902303180664 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.20999999999999952 y[1] (analytic) 10.160636932325954 y[1] (numeric) 10.160636932325954 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.21830751673787 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.301916474418825 Order of pole (three term test) 595.230457671145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1999999999999995 y[1] (analytic) 10.162441714130136 y[1] (numeric) 10.162441714130136 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.206686641424968 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.28586841767213 Order of pole (three term test) 594.7937112582846 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1899999999999995 y[1] (analytic) 10.164256661981273 y[1] (numeric) 10.164256661981273 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.19508331437474 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.270131625104613 Order of pole (three term test) 594.3788130009226 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1799999999999995 y[1] (analytic) 10.166081777776313 y[1] (numeric) 10.166081777776313 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.183496782789941 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.254689874676124 Order of pole (three term test) 593.9846477514521 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16999999999999948 y[1] (analytic) 10.167917063423785 y[1] (numeric) 10.167917063423785 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.171926326007556 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.239527822464243 Order of pole (three term test) 593.6101596647044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15999999999999948 y[1] (analytic) 10.169762520843813 y[1] (numeric) 10.169762520843815 absolute error 1.7763568394002505e-15 relative error 1.7467043461039062e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.160371254129972 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.224630951769983 Order of pole (three term test) 593.2543488039588 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14999999999999947 y[1] (analytic) 10.171618151968147 y[1] (numeric) 10.171618151968149 absolute error 1.7763568394002505e-15 relative error 1.7463856909104833e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.148830906714599 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.209985525500453 Order of pole (three term test) 592.9162679641724 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13999999999999946 y[1] (analytic) 10.173483958740167 y[1] (numeric) 10.173483958740169 absolute error 1.7763568394002505e-15 relative error 1.7460654055233066e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.137304651519356 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.195578541588056 Order of pole (three term test) 592.5950196964985 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12999999999999945 y[1] (analytic) 10.175359943114914 y[1] (numeric) 10.175359943114916 absolute error 1.7763568394002505e-15 relative error 1.745743491464604e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.125791883301678 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.181397691220981 Order of pole (three term test) 592.2897535191481 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11999999999999945 y[1] (analytic) 10.177246107059101 y[1] (numeric) 10.177246107059103 absolute error 1.7763568394002505e-15 relative error 1.745419950263501e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.11429202266871 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.167431319690099 Order of pole (three term test) 591.9996633017355 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10999999999999946 y[1] (analytic) 10.179142452551142 y[1] (numeric) 10.179142452551142 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.102804514976482 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.153668389657465 Order of pole (three term test) 591.7239848101391 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.09999999999999946 y[1] (analytic) 10.181048981581155 y[1] (numeric) 10.181048981581156 absolute error 1.7763568394002505e-15 relative error 1.74476799258496e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.091328829276007 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.140098446686476 Order of pole (three term test) 591.4619934013692 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.08999999999999947 y[1] (analytic) 10.182965696151006 y[1] (numeric) 10.182965696151006 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.079864457304298 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.12671158686738 Order of pole (three term test) 591.213001857358 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.07999999999999947 y[1] (analytic) 10.184892598274306 y[1] (numeric) 10.184892598274306 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.068410912518278 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.113498426400081 Order of pole (three term test) 590.9763583485826 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.06999999999999948 y[1] (analytic) 10.186829689976442 y[1] (numeric) 10.186829689976442 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.056967729169875 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.100450072998376 Order of pole (three term test) 590.751444518507 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.05999999999999948 y[1] (analytic) 10.188776973294598 y[1] (numeric) 10.188776973294598 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.045534461420463 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.087558098995578 Order of pole (three term test) 590.5376736809202 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.049999999999999475 y[1] (analytic) 10.19073445027777 y[1] (numeric) 10.19073445027777 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.034110682492996 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.07481451603558 Order of pole (three term test) 590.334489122476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.039999999999999473 y[1] (analytic) 10.19270212298679 y[1] (numeric) 10.19270212298679 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.0226959838602 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.062211751245659 Order of pole (three term test) 590.1413625035807 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.02999999999999947 y[1] (analytic) 10.194679993494345 y[1] (numeric) 10.194679993494345 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.01128997446732 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.049742624798217 Order of pole (three term test) 589.9577923515258 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.01999999999999947 y[1] (analytic) 10.196668063885001 y[1] (numeric) 10.196668063885001 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.99989227998793 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.037400328764276 Order of pole (three term test) 589.783302639372 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.00999999999999947 y[1] (analytic) 10.198666336255217 y[1] (numeric) 10.198666336255217 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.988502542111341 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.025178407182912 Order of pole (three term test) 589.6174414456306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.30825383648903e-16 y[1] (analytic) 10.200674812713373 y[1] (numeric) 10.200674812713373 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.977120417860394 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.013070737268148 Order of pole (three term test) 589.459779689542 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.010000000000000531 y[1] (analytic) 10.202693495379789 y[1] (numeric) 10.202693495379789 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.965745578938195 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 8.001071511676884 Order of pole (three term test) 589.3099099368513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.02000000000000053 y[1] (analytic) 10.204722386386742 y[1] (numeric) 10.20472238638674 absolute error 1.7763568394002505e-15 relative error 1.7407203960491252e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.954377711102637 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.989175221780405 Order of pole (three term test) 589.1674452723638 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.030000000000000533 y[1] (analytic) 10.206761487878488 y[1] (numeric) 10.20676148787849 absolute error 1.7763568394002505e-15 relative error 1.7403726358354166e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.943016513567539 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.977376641869577 Order of pole (three term test) 589.0320182345826 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.040000000000000535 y[1] (analytic) 10.208810802011302 y[1] (numeric) 10.2088108020113 absolute error 1.7763568394002505e-15 relative error 1.7400232738668046e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.931661698429204 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.965670814241284 Order of pole (three term test) 588.903279809008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.05000000000000054 y[1] (analytic) 10.210870330953464 y[1] (numeric) 10.21087033095346 absolute error 3.552713678800501e-15 relative error 3.4793446235730994e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.92031299011738 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.954053035111535 Order of pole (three term test) 588.7808984764785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.06000000000000054 y[1] (analytic) 10.21294007688531 y[1] (numeric) 10.212940076885307 absolute error 3.552713678800501e-15 relative error 3.478639502488875e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.908970124869562 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.94251884130516 Order of pole (three term test) 588.6645593132409 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.07000000000000053 y[1] (analytic) 10.215020041999246 y[1] (numeric) 10.215020041999244 absolute error 1.7763568394002505e-15 relative error 1.738965593896758e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.897632850227584 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.931063997675274 Order of pole (three term test) 588.5539631396497 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08000000000000053 y[1] (analytic) 10.217110228499772 y[1] (numeric) 10.217110228499768 absolute error 3.552713678800501e-15 relative error 3.477219682812567e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.886300924555703 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.919684485210746 Order of pole (three term test) 588.4488257147458 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09000000000000052 y[1] (analytic) 10.21921063860349 y[1] (numeric) 10.219210638603487 absolute error 3.552713678800501e-15 relative error 3.4765049908844997e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.87497411657906 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.908376489788881 Order of pole (three term test) 588.3488769738698 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.10000000000000052 y[1] (analytic) 10.22132127453915 y[1] (numeric) 10.221321274539145 absolute error 5.329070518200751e-15 relative error 5.213680673040995e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.863652204941847 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.897136391539358 Order of pole (three term test) 588.2538603070958 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11000000000000051 y[1] (analytic) 10.223442138547647 y[1] (numeric) 10.223442138547645 absolute error 1.7763568394002505e-15 relative error 1.7375330298026234e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.852334977784178 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.885960754780075 Order of pole (three term test) 588.1635318758397 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12000000000000051 y[1] (analytic) 10.225573232882075 y[1] (numeric) 10.22557323288207 absolute error 5.329070518200751e-15 relative error 5.211512740492842e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.84102223233702 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.8748463184920325 Order of pole (three term test) 588.0776599654857 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1300000000000005 y[1] (analytic) 10.22771455980771 y[1] (numeric) 10.227714559807707 absolute error 3.552713678800501e-15 relative error 3.473614420920342e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.829713774534282 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.863789987308197 Order of pole (three term test) 587.9960243724117 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1400000000000005 y[1] (analytic) 10.229866121602074 y[1] (numeric) 10.22986612160207 absolute error 3.552713678800501e-15 relative error 3.4728838447830235e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.818409418641409 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.8527888229781135 Order of pole (three term test) 587.9184158228056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000052 y[1] (analytic) 10.232027920554925 y[1] (numeric) 10.232027920554923 absolute error 1.7763568394002505e-15 relative error 1.7360750509991878e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.807108986899783 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.841840036289237 Order of pole (three term test) 587.8446354220911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000053 y[1] (analytic) 10.234199958968304 y[1] (numeric) 10.234199958968302 absolute error 1.7763568394002505e-15 relative error 1.7357065979970578e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.795812309186207 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.830940979413842 Order of pole (three term test) 587.774494132842 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000054 y[1] (analytic) 10.236382239156544 y[1] (numeric) 10.236382239156542 absolute error 1.7763568394002505e-15 relative error 1.7353365651052695e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.784519222686916 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.820089138662087 Order of pole (three term test) 587.7078122799476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000055 y[1] (analytic) 10.238574763446298 y[1] (numeric) 10.238574763446296 absolute error 1.7763568394002505e-15 relative error 1.7349649540502353e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.773229571585402 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.809282127614953 Order of pole (three term test) 587.6444190812465 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000056 y[1] (analytic) 10.240777534176562 y[1] (numeric) 10.240777534176562 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.76194320676351 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.798517680617055 Order of pole (three term test) 587.5841522023211 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20000000000000057 y[1] (analytic) 10.242990553698707 y[1] (numeric) 10.242990553698705 absolute error 1.7763568394002505e-15 relative error 1.734217004387273e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.750659985515304 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.7877936466128395 Order of pole (three term test) 587.5268573343856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000058 y[1] (analytic) 10.245213824376485 y[1] (numeric) 10.245213824376485 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.739379771273022 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.7771079833011445 Order of pole (three term test) 587.4723877935475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000058 y[1] (analytic) 10.247447348586077 y[1] (numeric) 10.247447348586075 absolute error 1.7763568394002505e-15 relative error 1.7334627629439333e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.728102433344752 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.7664587515964065 Order of pole (three term test) 587.4206041407311 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2300000000000006 y[1] (analytic) 10.24969112871609 y[1] (numeric) 10.24969112871609 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.716827846663232 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.755844110376965 Order of pole (three term test) 587.3713738209211 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2400000000000006 y[1] (analytic) 10.251945167167612 y[1] (numeric) 10.25194516716761 absolute error 1.7763568394002505e-15 relative error 1.7327022437548006e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.705555891545346 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.745262311504872 Order of pole (three term test) 587.3245708207039 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000006 y[1] (analytic) 10.254209466354208 y[1] (numeric) 10.254209466354206 absolute error 1.7763568394002505e-15 relative error 1.7323196344182134e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.69428645346185 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.734711695104936 Order of pole (three term test) 587.2800753433091 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000006 y[1] (analytic) 10.256484028701966 y[1] (numeric) 10.256484028701964 absolute error 1.7763568394002505e-15 relative error 1.7319354609525595e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.683019422816901 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.724190685086508 Order of pole (three term test) 587.2377735000296 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000063 y[1] (analytic) 10.258768856649509 y[1] (numeric) 10.258768856649507 absolute error 1.7763568394002505e-15 relative error 1.731549725139635e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.671754694736983 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.71369778489414 Order of pole (three term test) 587.1975570170875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000064 y[1] (analytic) 10.261063952648026 y[1] (numeric) 10.261063952648025 absolute error 1.7763568394002505e-15 relative error 1.7311624287672763e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.66049216886877 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.703231573481181 Order of pole (three term test) 587.1593229576222 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000065 y[1] (analytic) 10.263369319161303 y[1] (numeric) 10.2633693191613 absolute error 3.552713678800501e-15 relative error 3.461547147258674e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.64923174918565 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.692790701486141 Order of pole (three term test) 587.1229734573615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000066 y[1] (analytic) 10.265684958665728 y[1] (numeric) 10.265684958665725 absolute error 3.552713678800501e-15 relative error 3.460766323051337e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.637973343802452 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.68237388760684 Order of pole (three term test) 587.0884154737121 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000066 y[1] (analytic) 10.268010873650345 y[1] (numeric) 10.268010873650342 absolute error 3.552713678800501e-15 relative error 3.4599823885241835e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.626716864798071 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.671979915159257 Order of pole (three term test) 587.055560547365 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000007 y[1] (analytic) 10.270347066616857 y[1] (numeric) 10.270347066616853 absolute error 3.552713678800501e-15 relative error 3.459195347300757e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.615462228045683 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.661607628813428 Order of pole (three term test) 587.0243245759297 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000007 y[1] (analytic) 10.272693540079663 y[1] (numeric) 10.27269354007966 absolute error 3.552713678800501e-15 relative error 3.4584052030164525e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.604209353050088 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.651255931494569 Order of pole (three term test) 586.99462759878 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000007 y[1] (analytic) 10.275050296565878 y[1] (numeric) 10.275050296565876 absolute error 1.7763568394002505e-15 relative error 1.7288059796592367e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.592958162792122 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.640923781443386 Order of pole (three term test) 586.9663935927373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000007 y[1] (analytic) 10.277417338615372 y[1] (numeric) 10.277417338615368 absolute error 3.552713678800501e-15 relative error 3.4568156198657796e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.581708583579609 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.630610189424438 Order of pole (three term test) 586.939550277813 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000007 y[1] (analytic) 10.279794668780779 y[1] (numeric) 10.279794668780774 absolute error 5.329070518200751e-15 relative error 5.184024282493571e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.570460544904671 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.620314216078216 Order of pole (three term test) 586.9140289327645 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000007 y[1] (analytic) 10.282182289627531 y[1] (numeric) 10.282182289627528 absolute error 3.552713678800501e-15 relative error 3.45521366839062e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.559213979307161 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.610034969406965 Order of pole (three term test) 586.8897642197611 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000007 y[1] (analytic) 10.284580203733896 y[1] (numeric) 10.284580203733892 absolute error 3.552713678800501e-15 relative error 3.4544080637444596e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.547968822243876 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.599771602386919 Order of pole (three term test) 586.8666940176689 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000073 y[1] (analytic) 10.286988413690983 y[1] (numeric) 10.28698841369098 absolute error 3.552713678800501e-15 relative error 3.453599378096104e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.536725011963386 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.589523310704327 Order of pole (three term test) 586.8447592638255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000074 y[1] (analytic) 10.28940692210279 y[1] (numeric) 10.289406922102787 absolute error 3.552713678800501e-15 relative error 3.452787615162616e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.525482489386155 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.579289330602085 Order of pole (three term test) 586.8239038033336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000075 y[1] (analytic) 10.291835731586216 y[1] (numeric) 10.291835731586215 absolute error 1.7763568394002505e-15 relative error 1.72598638933627e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.514241197989845 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.569068936839993 Order of pole (three term test) 586.804074246189 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000076 y[1] (analytic) 10.294274844771103 y[1] (numeric) 10.294274844771099 absolute error 3.552713678800501e-15 relative error 3.451154872365851e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.50300108369943 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.55886144075497 Order of pole (three term test) 586.7852198312237 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000077 y[1] (analytic) 10.296724264300245 y[1] (numeric) 10.296724264300241 absolute error 3.552713678800501e-15 relative error 3.450333899993912e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.49176209478207 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.5486661884189585 Order of pole (three term test) 586.7672922967499 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000008 y[1] (analytic) 10.299183992829436 y[1] (numeric) 10.299183992829432 absolute error 3.552713678800501e-15 relative error 3.4495098653194213e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.480524181746427 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.538482558892911 Order of pole (three term test) 586.7502457578348 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000008 y[1] (analytic) 10.301654033027484 y[1] (numeric) 10.301654033027479 absolute error 5.329070518200751e-15 relative error 5.1730241581745555e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.469287297246327 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.528309962565751 Order of pole (three term test) 586.7340365893873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000008 y[1] (analytic) 10.30413438757624 y[1] (numeric) 10.304134387576237 absolute error 3.552713678800501e-15 relative error 3.4478526241699934e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.458051395988482 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.518147839577907 Order of pole (three term test) 586.7186233150707 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000008 y[1] (analytic) 10.306625059170642 y[1] (numeric) 10.306625059170639 absolute error 3.552713678800501e-15 relative error 3.4470194252767184e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.446816434644182 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.507995658326122 Order of pole (three term test) 586.703966501842 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000008 y[1] (analytic) 10.30912605051872 y[1] (numeric) 10.309126050518717 absolute error 3.552713678800501e-15 relative error 3.446183179244123e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.435582371764783 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.497852914040926 Order of pole (three term test) 586.6900286594686 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000008 y[1] (analytic) 10.311637364341644 y[1] (numeric) 10.31163736434164 absolute error 3.552713678800501e-15 relative error 3.4453438898908826e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.424349167700743 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.487719127436886 Order of pole (three term test) 586.6767741450856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000008 y[1] (analytic) 10.314159003373739 y[1] (numeric) 10.314159003373737 absolute error 1.7763568394002505e-15 relative error 1.7222507805233642e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.413116784524211 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.477593843431422 Order of pole (three term test) 586.6641690725013 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000008 y[1] (analytic) 10.316690970362526 y[1] (numeric) 10.316690970362524 absolute error 1.7763568394002505e-15 relative error 1.7218280982761955e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.401885185954818 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.467476629927157 Order of pole (three term test) 586.6521812258876 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000008 y[1] (analytic) 10.319233268068743 y[1] (numeric) 10.319233268068741 absolute error 1.7763568394002505e-15 relative error 1.7214039001297795e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.390654337288726 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.457367076656153 Order of pole (three term test) 586.6407799777667 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000008 y[1] (analytic) 10.321785899266379 y[1] (numeric) 10.321785899266377 absolute error 1.7763568394002505e-15 relative error 1.7209781880154142e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.379424205330704 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.447264794080834 Order of pole (three term test) 586.6299362109143 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000008 y[1] (analytic) 10.324348866742701 y[1] (numeric) 10.324348866742698 absolute error 3.552713678800501e-15 relative error 3.4411019277396527e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.368194758329045 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.437169412352009 Order of pole (three term test) 586.6196222442447 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000008 y[1] (analytic) 10.326922173298282 y[1] (numeric) 10.32692217329828 absolute error 1.7763568394002505e-15 relative error 1.7201222296351496e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.356965965913345 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.427080580318882 Order of pole (three term test) 586.6098117623131 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000008 y[1] (analytic) 10.32950582174704 y[1] (numeric) 10.329505821747038 absolute error 1.7763568394002505e-15 relative error 1.7196919872588962e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.345737799034907 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.416997964587363 Order of pole (three term test) 586.6004797481552 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000008 y[1] (analytic) 10.332099814916257 y[1] (numeric) 10.332099814916255 absolute error 1.7763568394002505e-15 relative error 1.719260238693937e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.33451022990971 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.40692124862699 Order of pole (three term test) 586.5916024195343 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000008 y[1] (analytic) 10.334704155646614 y[1] (numeric) 10.334704155646612 absolute error 1.7763568394002505e-15 relative error 1.7188269858984742e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.323283231963808 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.396850131922233 Order of pole (three term test) 586.5831571682766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000009 y[1] (analytic) 10.337318846792225 y[1] (numeric) 10.337318846792225 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.31205677978108 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.386784329167547 Order of pole (three term test) 586.5751225026748 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000009 y[1] (analytic) 10.339943891220667 y[1] (numeric) 10.339943891220667 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.30083084905322 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.376723569499676 Order of pole (three term test) 586.5674779924607 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000009 y[1] (analytic) 10.342579291813003 y[1] (numeric) 10.342579291813001 absolute error 1.7763568394002505e-15 relative error 1.7175182217905567e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.289605416531865 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.366667595772881 Order of pole (three term test) 586.5602042168318 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000009 y[1] (analytic) 10.345225051463819 y[1] (numeric) 10.345225051463817 absolute error 1.7763568394002505e-15 relative error 1.717078971760891e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.278380459982769 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.356616163866737 Order of pole (three term test) 586.5532827147176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000009 y[1] (analytic) 10.34788117308126 y[1] (numeric) 10.347881173081257 absolute error 3.552713678800501e-15 relative error 3.433276454741719e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.267155958141984 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.3465690420309615 Order of pole (three term test) 586.5466959376677 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000009 y[1] (analytic) 10.350547659587052 y[1] (numeric) 10.350547659587049 absolute error 3.552713678800501e-15 relative error 3.432391981220287e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.25593189067384 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.336526010261766 Order of pole (three term test) 586.5404272049431 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000009 y[1] (analytic) 10.353224513916542 y[1] (numeric) 10.353224513916539 absolute error 3.552713678800501e-15 relative error 3.431504526947168e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.244708238130826 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.326486859711131 Order of pole (three term test) 586.5344606609362 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000009 y[1] (analytic) 10.355911739018724 y[1] (numeric) 10.35591173901872 absolute error 3.552713678800501e-15 relative error 3.430614095922315e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.233484981915103 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.3164513921233025 Order of pole (three term test) 586.5287812344832 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000009 y[1] (analytic) 10.358609337856276 y[1] (numeric) 10.35860933785627 absolute error 5.329070518200751e-15 relative error 5.144581038233852e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.222262104241745 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.306419419301887 Order of pole (three term test) 586.5233746003587 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000009 y[1] (analytic) 10.361317313405584 y[1] (numeric) 10.361317313405578 absolute error 5.329070518200751e-15 relative error 5.143236479502411e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.211039588103503 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.296390762602811 Order of pole (three term test) 586.518227142585 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.690000000000001 y[1] (analytic) 10.364035668656788 y[1] (numeric) 10.364035668656783 absolute error 5.329070518200751e-15 relative error 5.141887473734849e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.199817417237144 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.286365252451831 Order of pole (three term test) 586.5133259194678 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.700000000000001 y[1] (analytic) 10.3667644066138 y[1] (numeric) 10.366764406613797 absolute error 3.552713678800501e-15 relative error 3.427022684661317e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.188595576091126 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.276342727888352 Order of pole (three term test) 586.5086586305138 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.710000000000001 y[1] (analytic) 10.36950353029435 y[1] (numeric) 10.369503530294347 absolute error 3.552713678800501e-15 relative error 3.426117430233087e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.177374049794823 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.266323036129545 Order of pole (three term test) 586.5042135847586 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.720000000000001 y[1] (analytic) 10.37225304273001 y[1] (numeric) 10.372253042730007 absolute error 3.552713678800501e-15 relative error 3.425209223265744e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.166152824128925 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.256306032158581 Order of pole (three term test) 586.499979670831 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.730000000000001 y[1] (analytic) 10.375012946966232 y[1] (numeric) 10.375012946966226 absolute error 5.329070518200751e-15 relative error 5.136447101744611e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.15493188549721 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.246291578332435 Order of pole (three term test) 586.4959463283901 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.740000000000001 y[1] (analytic) 10.377783246062373 y[1] (numeric) 10.377783246062368 absolute error 5.329070518200751e-15 relative error 5.135075952008106e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.143711220899453 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.236279544009492 Order of pole (three term test) 586.4921035209768 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.750000000000001 y[1] (analytic) 10.380563943091746 y[1] (numeric) 10.38056394309174 absolute error 5.329070518200751e-15 relative error 5.133700391824321e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.132490817905595 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.226269805195935 Order of pole (three term test) 586.4884417101977 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.760000000000001 y[1] (analytic) 10.383355041141636 y[1] (numeric) 10.38335504114163 absolute error 5.329070518200751e-15 relative error 5.132320427343133e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.121270664630927 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.216262244210109 Order of pole (three term test) 586.4849518311961 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.770000000000001 y[1] (analytic) 10.386156543313344 y[1] (numeric) 10.386156543313339 absolute error 5.329070518200751e-15 relative error 5.130936064728999e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.110050749712418 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.206256749363501 Order of pole (three term test) 586.4816252693025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.780000000000001 y[1] (analytic) 10.38896845272222 y[1] (numeric) 10.388968452722215 absolute error 5.329070518200751e-15 relative error 5.1295473101608807e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.098831062286012 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.196253214657351 Order of pole (three term test) 586.4784538378018 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.790000000000001 y[1] (analytic) 10.391790772497696 y[1] (numeric) 10.391790772497691 absolute error 5.329070518200751e-15 relative error 5.128154169832168e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.087611591964944 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 7.186251539495539 Order of pole (three term test) 586.4754297568692 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ; Iterations 160 Total Elapsed Time 0.0 Seconds Elapsed Time(since restart) 0.0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.62500000000007%