##############ECHO OF PROBLEM################# ##############temp/h2sinpostode.ode################# diff ( y , x , 2 ) = 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) $array_y_init[1 + 1] = exact_soln_yp(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(2.0 - sin(x)) end def exact_soln_yp (x) return(- cos(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 2.4754661255148735e-184 estimated_step_error 2.4754661255148735e-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 1.6612575021518574e-176 estimated_step_error 1.6612575021518574e-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 1.1148514493392447e-168 estimated_step_error 1.1148514493392447e-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 7.48164695285793e-161 estimated_step_error 7.48164695285793e-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 5.020855692025194e-153 estimated_step_error 5.020855692025194e-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 3.369449168190197e-145 estimated_step_error 3.369449168190197e-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 2.261212414751384e-137 estimated_step_error 2.261212414751384e-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 1.5174918888357428e-129 estimated_step_error 1.5174918888357428e-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 1.0183956259651796e-121 estimated_step_error 1.0183956259651796e-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 6.834660257908668e-114 estimated_step_error 6.834660257908668e-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 4.587096248204524e-106 estimated_step_error 4.587096248204524e-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 3.0789298685249166e-98 estimated_step_error 3.0789298685249166e-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 2.067015579248803e-90 estimated_step_error 2.067015579248803e-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 1.388198528557742e-82 estimated_step_error 1.388198528557742e-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 9.330106382801206e-75 estimated_step_error 9.330106382801206e-75 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 6.28020362741216e-67 estimated_step_error 6.28020362741216e-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 4.239904976716617e-59 estimated_step_error 4.239904976716617e-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 2.879345661003233e-51 estimated_step_error 2.879345661003233e-51 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 1.9001665833531718 y[1] (numeric) 1.9001665833531718 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) 1.8902216991628251 y[1] (numeric) 1.8902216991628251 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) 1.8802877927110806 y[1] (numeric) 1.8802877927110806 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) 1.870365857380305 y[1] (numeric) 1.870365857380305 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) 1.8604568853557635 y[1] (numeric) 1.8604568853557635 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) 1.8505618675264008 y[1] (numeric) 1.8505618675264008 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) 1.840681793385754 y[1] (numeric) 1.840681793385754 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) 1.8308176509330039 y[1] (numeric) 1.8308176509330039 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] 0.18000000000000005 y[1] (analytic) 1.8209704265741757 y[1] (numeric) 1.8209704265741757 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 1.8111411050234993 y[1] (numeric) 1.8111411050234993 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] 0.20000000000000007 y[1] (analytic) 1.8013306692049387 y[1] (numeric) 1.8013306692049387 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] 0.21000000000000008 y[1] (analytic) 1.7915401001539004 y[1] (numeric) 1.7915401001539004 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] 0.22000000000000008 y[1] (analytic) 1.7817703769191306 y[1] (numeric) 1.7817703769191306 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) 1.7720224764648116 y[1] (numeric) 1.7720224764648116 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 1.7622973735728653 y[1] (numeric) 1.7622973735728653 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] 0.2500000000000001 y[1] (analytic) 1.752596040745477 y[1] (numeric) 1.752596040745477 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] 0.2600000000000001 y[1] (analytic) 1.7429194481078447 y[1] (numeric) 1.742919448107845 absolute error 2.220446049250313e-16 relative error 1.273980878267715e-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) 1.7332685633111686 y[1] (numeric) 1.7332685633111689 absolute error 2.220446049250313e-16 relative error 1.2810744371942336e-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) 1.7236443514358861 y[1] (numeric) 1.7236443514358863 absolute error 2.220446049250313e-16 relative error 1.2882274973955997e-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) 1.7140477748951644 y[1] (numeric) 1.7140477748951646 absolute error 2.220446049250313e-16 relative error 1.295439999848383e-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) 1.7044797933386602 y[1] (numeric) 1.7044797933386606 absolute error 4.440892098500626e-16 relative error 2.6054237286098896e-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) 1.6949413635565564 y[1] (numeric) 1.6949413635565567 absolute error 2.220446049250313e-16 relative error 1.3100429885026059e-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) 1.6854334393838821 y[1] (numeric) 1.6854334393838823 absolute error 2.220446049250313e-16 relative error 1.3174332473562452e-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) 1.6759569716051315 y[1] (numeric) 1.6759569716051317 absolute error 2.220446049250313e-16 relative error 1.3248824921344505e-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) 1.6665129078591854 y[1] (numeric) 1.6665129078591856 absolute error 2.220446049250313e-16 relative error 1.3323905496193932e-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) 1.6571021925445484 y[1] (numeric) 1.6571021925445486 absolute error 2.220446049250313e-16 relative error 1.3399572212506261e-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) 1.64772576672491 y[1] (numeric) 1.64772576672491 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 1.6383845680350377 y[1] (numeric) 1.638384568035038 absolute error 2.220446049250313e-16 relative error 1.3552654807493448e-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) 1.6290795305870172 y[1] (numeric) 1.6290795305870172 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] 0.39000000000000024 y[1] (analytic) 1.6198115848768384 y[1] (numeric) 1.6198115848768384 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 1.6105816576913492 y[1] (numeric) 1.6105816576913494 absolute error 2.220446049250313e-16 relative error 1.3786609568329245e-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) 1.6013906720155768 y[1] (numeric) 1.601390672015577 absolute error 2.220446049250313e-16 relative error 1.3865736125810995e-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) 1.5922395469404296 y[1] (numeric) 1.5922395469404298 absolute error 2.220446049250313e-16 relative error 1.3945427077960818e-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) 1.583129197570789 y[1] (numeric) 1.5831291975707893 absolute error 2.220446049250313e-16 relative error 1.4025678085259536e-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) 1.5740605349340002 y[1] (numeric) 1.5740605349340004 absolute error 2.220446049250313e-16 relative error 1.410648447102713e-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) 1.5650344658887696 y[1] (numeric) 1.5650344658887698 absolute error 2.220446049250313e-16 relative error 1.4187841211467128e-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) 1.55605189303448 y[1] (numeric) 1.5560518930344802 absolute error 2.220446049250313e-16 relative error 1.426974292560506e-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) 1.5471137146209315 y[1] (numeric) 1.5471137146209317 absolute error 2.220446049250313e-16 relative error 1.4352183865129522e-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) 1.538220824458517 y[1] (numeric) 1.5382208244585172 absolute error 2.220446049250313e-16 relative error 1.4435157904145215e-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) 1.5293741118288418 y[1] (numeric) 1.529374111828842 absolute error 2.220446049250313e-16 relative error 1.451865852884799e-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) 1.5205744613957968 y[1] (numeric) 1.520574461395797 absolute error 2.220446049250313e-16 relative error 1.4602678827132713e-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) 1.5118227531170922 y[1] (numeric) 1.5118227531170925 absolute error 2.220446049250313e-16 relative error 1.468721147814566e-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) 1.503119862156263 y[1] (numeric) 1.5031198621562631 absolute error 2.220446049250313e-16 relative error 1.4772248741793805e-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) 1.4944666587951527 y[1] (numeric) 1.494466658795153 absolute error 2.220446049250313e-16 relative error 1.4857782448224365e-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) 1.4858640083468866 y[1] (numeric) 1.4858640083468868 absolute error 2.220446049250313e-16 relative error 1.4943803987288807e-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) 1.4773127710693406 y[1] (numeric) 1.4773127710693408 absolute error 2.220446049250313e-16 relative error 1.5030304298006317e-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) 1.4688138020791164 y[1] (numeric) 1.4688138020791166 absolute error 2.220446049250313e-16 relative error 1.5117273858042837e-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) 1.4603679512660306 y[1] (numeric) 1.4603679512660308 absolute error 2.220446049250313e-16 relative error 1.5204702673222533e-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) 1.451976063208126 y[1] (numeric) 1.4519760632081264 absolute error 4.440892098500626e-16 relative error 3.058516053417934e-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) 1.443638977087216 y[1] (numeric) 1.4436389770872162 absolute error 2.220446049250313e-16 relative error 1.5380895670539705e-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) 1.4353575266049643 y[1] (numeric) 1.4353575266049647 absolute error 4.440892098500626e-16 relative error 3.093927482307924e-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) 1.4271325398995183 y[1] (numeric) 1.427132539899519 absolute error 6.661338147750939e-16 relative error 4.667638051487461e-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) 1.4189648394626946 y[1] (numeric) 1.418964839462695 absolute error 4.440892098500626e-16 relative error 3.129670288505679e-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) 1.41085524205773 y[1] (numeric) 1.4108552420577305 absolute error 4.440892098500626e-16 relative error 3.1476596365929024e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.853179855578428 Order of pole (ratio test) Not computed NO 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) 1.4028045586376074 y[1] (numeric) 1.402804558637608 absolute error 4.440892098500626e-16 relative error 3.165724028451679e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.146332622198333 Order of pole (ratio test) Not computed NO 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) 1.3948135942639601 y[1] (numeric) 1.3948135942639603 absolute error 2.220446049250313e-16 relative error 1.5919303184179514e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.443883583539856 Order of pole (ratio test) Not computed NO 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) 1.3868831480265658 y[1] (numeric) 1.3868831480265662 absolute error 4.440892098500626e-16 relative error 3.202066522201019e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.745993344029625 Order of pole (ratio test) Not computed NO 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) 1.3790140129634398 y[1] (numeric) 1.3790140129634403 absolute error 4.440892098500626e-16 relative error 3.22033863090147e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.05282931983689 Order of pole (ratio test) Not computed NO 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) 1.371206975981531 y[1] (numeric) 1.3712069759815315 absolute error 4.440892098500626e-16 relative error 3.2386737934451997e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.364566127708748 Order of pole (ratio test) Not computed NO 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) 1.3634628177780317 y[1] (numeric) 1.3634628177780321 absolute error 4.440892098500626e-16 relative error 3.257068722811033e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.681386000111496 Order of pole (ratio test) Not computed NO 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) 1.3557823127623085 y[1] (numeric) 1.355782312762309 absolute error 4.440892098500626e-16 relative error 3.275520012834973e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.003479228798533 Order of pole (ratio test) Not computed NO 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) 1.3481662289784628 y[1] (numeric) 1.3481662289784633 absolute error 4.440892098500626e-16 relative error 3.2940241366716283e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.331044639121895 Order of pole (ratio test) Not computed NO 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) 1.3406153280285265 y[1] (numeric) 1.340615328028527 absolute error 4.440892098500626e-16 relative error 3.3125774453371985e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.66429009762187 Order of pole (ratio test) Not computed NO 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) 1.3331303649963018 y[1] (numeric) 1.3331303649963022 absolute error 4.440892098500626e-16 relative error 3.3311761663406005e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.0034330556705 Order of pole (ratio test) Not computed NO 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) 1.3257120883718545 y[1] (numeric) 1.325712088371855 absolute error 4.440892098500626e-16 relative error 3.349816402409527e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.34870113221174 Order of pole (ratio test) Not computed NO 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) 1.3183612399766655 y[1] (numeric) 1.3183612399766658 absolute error 2.220446049250313e-16 relative error 1.6842470651591775e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.700332738937394 Order of pole (ratio test) Not computed NO 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) 1.3110785548894484 y[1] (numeric) 1.3110785548894486 absolute error 2.220446049250313e-16 relative error 1.6936025999125154e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.058577751567288 Order of pole (ratio test) Not computed NO 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) 1.3038647613726428 y[1] (numeric) 1.303864761372643 absolute error 2.220446049250313e-16 relative error 1.7029726663620695e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.423698231268325 Order of pole (ratio test) Not computed NO 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) 1.2967205807995894 y[1] (numeric) 1.2967205807995896 absolute error 2.220446049250313e-16 relative error 1.7123550610117812e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.195390530224554 Order of pole (ratio test) Not computed NO 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) 1.2896467275823917 y[1] (numeric) 1.289646727582392 absolute error 2.220446049250313e-16 relative error 1.7217475156261003e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.835091599735964 Order of pole (ratio test) Not computed NO 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) 1.2826439091004769 y[1] (numeric) 1.282643909100477 absolute error 2.220446049250313e-16 relative error 1.731147696953179e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.48186281170852 Order of pole (ratio test) Not computed NO 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) 1.275712825629857 y[1] (numeric) 1.2757128256298573 absolute error 2.220446049250313e-16 relative error 1.7405532065212353e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.13542947094749 Order of pole (ratio test) Not computed NO 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) 1.2688541702731038 y[1] (numeric) 1.268854170273104 absolute error 2.220446049250313e-16 relative error 1.7499615805119607e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.795530018633848 Order of pole (ratio test) Not computed NO 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) 1.262068628890037 y[1] (numeric) 1.2620686288900371 absolute error 2.220446049250313e-16 relative error 1.75937028971487e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.461915236115626 Order of pole (ratio test) Not computed NO 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) 1.2553568800291401 y[1] (numeric) 1.2553568800291406 absolute error 4.440892098500626e-16 relative error 3.5375534791329944e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.13434750543817 Order of pole (ratio test) Not computed NO 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) 1.2487195948597067 y[1] (numeric) 1.2487195948597072 absolute error 4.440892098500626e-16 relative error 3.5563565405566964e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.81260012193618 Order of pole (ratio test) Not computed NO 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) 1.2421574371047226 y[1] (numeric) 1.2421574371047228 absolute error 2.220446049250313e-16 relative error 1.7875721570575068e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.496456654646554 Order of pole (ratio test) Not computed NO 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) 1.2356710629744945 y[1] (numeric) 1.2356710629744947 absolute error 2.220446049250313e-16 relative error 1.7969556104237634e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.185710350689872 Order of pole (ratio test) Not computed NO 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) 1.2292611211010303 y[1] (numeric) 1.2292611211010305 absolute error 2.220446049250313e-16 relative error 1.806325776627096e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.880163580119318 Order of pole (ratio test) Not computed NO 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) 1.2229282524731757 y[1] (numeric) 1.222928252473176 absolute error 2.220446049250313e-16 relative error 1.8156797381692817e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.579627318049479 Order of pole (ratio test) Not computed NO 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) 1.2166730903725163 y[1] (numeric) 1.2166730903725165 absolute error 2.220446049250313e-16 relative error 1.8250145144333434e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.28392066116169 Order of pole (ratio test) Not computed NO 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) 1.210496260310049 y[1] (numeric) 1.2104962603100495 absolute error 4.440892098500626e-16 relative error 3.6686541248488974e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.992870375936498 Order of pole (ratio test) Not computed NO 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) 1.2043983799636335 y[1] (numeric) 1.204398379963634 absolute error 4.440892098500626e-16 relative error 3.687228555251559e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.706310476195199 Order of pole (ratio test) Not computed NO 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) 1.1983800591162224 y[1] (numeric) 1.1983800591162228 absolute error 4.440892098500626e-16 relative error 3.7057459899455284e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.424081827739286 Order of pole (ratio test) Not computed NO 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) 1.1924418995948853 y[1] (numeric) 1.1924418995948856 absolute error 2.220446049250313e-16 relative error 1.862099989948925e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.146031778065389 Order of pole (ratio test) Not computed NO 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) 1.1865844952106257 y[1] (numeric) 1.1865844952106261 absolute error 4.440892098500626e-16 relative error 3.7425839596128734e-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) 1.1808084316990013 y[1] (numeric) 1.1808084316990015 absolute error 2.220446049250313e-16 relative error 1.8804456249143086e-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) 1.1751142866615494 y[1] (numeric) 1.1751142866615498 absolute error 4.440892098500626e-16 relative error 3.779115060473833e-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) 1.169502629508029 y[1] (numeric) 1.1695026295080293 absolute error 2.220446049250313e-16 relative error 1.898624246945371e-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) 1.1639740213994791 y[1] (numeric) 1.1639740213994791 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] 1.0000000000000007 y[1] (analytic) 1.1585290151921033 y[1] (numeric) 1.158529015192103 absolute error 2.220446049250313e-16 relative error 1.9166080608538978e-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) 1.1531681553819846 y[1] (numeric) 1.1531681553819844 absolute error 2.220446049250313e-16 relative error 1.925518007835375e-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) 1.1478919780506367 y[1] (numeric) 1.1478919780506367 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] 1.0300000000000007 y[1] (analytic) 1.1427010108113964 y[1] (numeric) 1.1427010108113962 absolute error 2.220446049250313e-16 relative error 1.9431557583673122e-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) 1.1375957727566612 y[1] (numeric) 1.1375957727566612 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] 1.0500000000000007 y[1] (analytic) 1.1325767744059827 y[1] (numeric) 1.1325767744059827 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] 1.0600000000000007 y[1] (analytic) 1.1276445176550134 y[1] (numeric) 1.1276445176550134 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] 1.0700000000000007 y[1] (analytic) 1.122799495725318 y[1] (numeric) 1.122799495725318 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] 1.0800000000000007 y[1] (analytic) 1.1180421931150522 y[1] (numeric) 1.1180421931150522 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] 1.0900000000000007 y[1] (analytic) 1.1133730855505124 y[1] (numeric) 1.1133730855505124 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] 1.1000000000000008 y[1] (analytic) 1.1087926399385644 y[1] (numeric) 1.1087926399385644 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] 1.1100000000000008 y[1] (analytic) 1.104301314319952 y[1] (numeric) 1.104301314319952 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] 1.1200000000000008 y[1] (analytic) 1.0998995578234947 y[1] (numeric) 1.0998995578234947 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] 1.1300000000000008 y[1] (analytic) 1.0955878106211738 y[1] (numeric) 1.0955878106211738 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] 1.1400000000000008 y[1] (analytic) 1.0913665038841165 y[1] (numeric) 1.0913665038841165 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] 1.1500000000000008 y[1] (analytic) 1.0872360597394786 y[1] (numeric) 1.0872360597394786 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] 1.1600000000000008 y[1] (analytic) 1.0831968912282326 y[1] (numeric) 1.0831968912282328 absolute error 2.220446049250313e-16 relative error 2.0499006849369355e-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) 1.079249402263864 y[1] (numeric) 1.0792494022638641 absolute error 2.220446049250313e-16 relative error 2.0573984517319564e-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) 1.0753939875919794 y[1] (numeric) 1.0753939875919794 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] 1.1900000000000008 y[1] (analytic) 1.0716310327508332 y[1] (numeric) 1.071631032750833 absolute error 2.220446049250313e-16 relative error 2.072024774749681e-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) 1.0679609140327733 y[1] (numeric) 1.0679609140327733 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] 1.2100000000000009 y[1] (analytic) 1.0643839984466137 y[1] (numeric) 1.0643839984466137 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] 1.2200000000000009 y[1] (analytic) 1.0609006436809323 y[1] (numeric) 1.060900643680932 absolute error 2.220446049250313e-16 relative error 2.0929820925984055e-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) 1.057511198068302 y[1] (numeric) 1.057511198068302 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] 1.2400000000000009 y[1] (analytic) 1.0542160005504608 y[1] (numeric) 1.0542160005504606 absolute error 2.220446049250313e-16 relative error 2.1062534130490366e-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) 1.0510153806444134 y[1] (numeric) 1.0510153806444134 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] 1.260000000000001 y[1] (analytic) 1.047909658409484 y[1] (numeric) 1.0479096584094838 absolute error 2.220446049250313e-16 relative error 2.1189288899393326e-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) 1.0448991444153075 y[1] (numeric) 1.0448991444153073 absolute error 2.220446049250313e-16 relative error 2.1250338476378065e-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) 1.0419841397107747 y[1] (numeric) 1.0419841397107745 absolute error 2.220446049250313e-16 relative error 2.130978740105052e-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) 1.0391649357939272 y[1] (numeric) 1.0391649357939268 absolute error 4.440892098500626e-16 relative error 4.273519963515476e-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) 1.036441814582807 y[1] (numeric) 1.0364418145828065 absolute error 4.440892098500626e-16 relative error 4.284748102611234e-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) 1.0338150483872657 y[1] (numeric) 1.0338150483872655 absolute error 2.220446049250313e-16 relative error 2.14781749667329e-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) 1.0312848998817346 y[1] (numeric) 1.031284899881734 absolute error 4.440892098500626e-16 relative error 4.306173879797811e-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) 1.0288516220789552 y[1] (numeric) 1.0288516220789548 absolute error 4.440892098500626e-16 relative error 4.3163581639956115e-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) 1.0265154583046803 y[1] (numeric) 1.0265154583046798 absolute error 4.440892098500626e-16 relative error 4.326181415557918e-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) 1.0242766421733407 y[1] (numeric) 1.02427664217334 absolute error 6.661338147750939e-16 relative error 6.503456071805673e-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) 1.0221353975646836 y[1] (numeric) 1.022135397564683 absolute error 6.661338147750939e-16 relative error 6.51707999118521e-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) 1.0200919386013856 y[1] (numeric) 1.020091938601385 absolute error 6.661338147750939e-16 relative error 6.530135074769908e-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) 1.01814646962764 y[1] (numeric) 1.0181464696276394 absolute error 6.661338147750939e-16 relative error 6.542612822875225e-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) 1.0162991851887233 y[1] (numeric) 1.0162991851887226 absolute error 6.661338147750939e-16 relative error 6.554505056022407e-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) 1.0145502700115396 y[1] (numeric) 1.014550270011539 absolute error 6.661338147750939e-16 relative error 6.565803927759215e-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) 1.0128998989861495 y[1] (numeric) 1.0128998989861488 absolute error 6.661338147750939e-16 relative error 6.576501937080385e-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) 1.01134823714828 y[1] (numeric) 1.0113482371482794 absolute error 6.661338147750939e-16 relative error 6.586591940412192e-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) 1.009895439662822 y[1] (numeric) 1.0098954396628215 absolute error 4.440892098500626e-16 relative error 4.397378108750868e-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) 1.0085416518083132 y[1] (numeric) 1.0085416518083128 absolute error 4.440892098500626e-16 relative error 4.403280807032724e-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) 1.0072870089624115 y[1] (numeric) 1.0072870089624109 absolute error 6.661338147750939e-16 relative error 6.613148078433639e-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) 1.006131636588355 y[1] (numeric) 1.0061316365883546 absolute error 4.440892098500626e-16 relative error 4.413828108575376e-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) 1.005075650222419 y[1] (numeric) 1.0050756502224185 absolute error 4.440892098500626e-16 relative error 4.4184655130366316e-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) 1.0041191554623599 y[1] (numeric) 1.0041191554623594 absolute error 4.440892098500626e-16 relative error 4.422674415025734e-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) 1.0032622479568565 y[1] (numeric) 1.003262247956856 absolute error 4.440892098500626e-16 relative error 4.4264519147854937e-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) 1.0025050133959454 y[1] (numeric) 1.002505013395945 absolute error 4.440892098500626e-16 relative error 4.429795401678125e-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) 1.0018475275024517 y[1] (numeric) 1.0018475275024512 absolute error 4.440892098500626e-16 relative error 4.4327025586134e-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) 1.001289856024417 y[1] (numeric) 1.0012898560244163 absolute error 6.661338147750939e-16 relative error 6.652757048992314e-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) 1.0008320547285239 y[1] (numeric) 1.0008320547285232 absolute error 6.661338147750939e-16 relative error 6.655800157757567e-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) 1.000474169394521 y[1] (numeric) 1.0004741693945203 absolute error 6.661338147750939e-16 relative error 6.658181042077607e-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) 1.000216235810643 y[1] (numeric) 1.0002162358106423 absolute error 6.661338147750939e-16 relative error 6.659898039299611e-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) 1.0000582797700337 y[1] (numeric) 1.000058279770033 absolute error 6.661338147750939e-16 relative error 6.660949949119698e-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) 1.0000003170681655 y[1] (numeric) 1.0000003170681646 absolute error 8.881784197001252e-16 relative error 8.881781380871124e-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) 1.00004235350126 y[1] (numeric) 1.0000423535012593 absolute error 6.661338147750939e-16 relative error 6.661056028706036e-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 0.008862294818608413 Order of pole (three term test) -0.8908526830463791 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 1.000184384865709 y[1] (numeric) 1.0001843848657084 absolute error 6.661338147750939e-16 relative error 6.660110124240074e-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 0.01848786984750219 Order of pole (three term test) -0.8974376049098461 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 1.000426396958495 y[1] (numeric) 1.0004263969584941 absolute error 8.881784197001252e-16 relative error 8.87799864538134e-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 0.02810603355617763 Order of pole (three term test) -0.9086557106299292 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 1.0007683655786095 y[1] (numeric) 1.0007683655786088 absolute error 6.661338147750939e-16 relative error 6.656223734549788e-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 0.0377129302898698 Order of pole (three term test) -0.9245024931983528 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 1.001210256529476 y[1] (numeric) 1.0012102565294754 absolute error 6.661338147750939e-16 relative error 6.653285964969364e-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 0.04730470894041999 Order of pole (three term test) -0.9449715860134591 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 1.0017520256223675 y[1] (numeric) 1.0017520256223669 absolute error 6.661338147750939e-16 relative error 6.649687724476913e-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 0.05687752450025464 Order of pole (three term test) -0.970054765471841 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) 1.0023936186808264 y[1] (numeric) 1.0023936186808255 absolute error 8.881784197001252e-16 relative error 8.860575358300753e-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 0.06642753961383817 Order of pole (three term test) -0.9997419543158105 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) 1.0031349715460811 y[1] (numeric) 1.0031349715460804 absolute error 6.661338147750939e-16 relative error 6.640520305541892e-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 0.07595092612595725 Order of pole (three term test) -1.034021225735263 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y[1] (analytic) 1.0039760100834634 y[1] (numeric) 1.0039760100834625 absolute error 8.881784197001252e-16 relative error 8.846609986490498e-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 0.08544386662619641 Order of pole (three term test) -1.0728788082221927 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y[1] (analytic) 1.00491665018982 y[1] (numeric) 1.004916650189819 absolute error 8.881784197001252e-16 relative error 8.838329223944655e-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 0.09490255598896426 Order of pole (three term test) -1.1162990911757675 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y[1] (analytic) 1.0059567978019242 y[1] (numeric) 1.0059567978019233 absolute error 8.881784197001252e-16 relative error 8.829190494471018e-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 0.10432320290843522 Order of pole (three term test) -1.164264631255583 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y[1] (analytic) 1.0070963489058817 y[1] (numeric) 1.0070963489058806 absolute error 1.1102230246251565e-15 relative error 1.1024000095237288e-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 0.1137020314277715 Order of pole (three term test) -1.216756159480367 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y[1] (analytic) 1.0083351895475317 y[1] (numeric) 1.0083351895475305 absolute error 1.1102230246251565e-15 relative error 1.1010456008416654e-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 0.12303528246199098 Order of pole (three term test) -1.273752589069098 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y[1] (analytic) 1.009673195843842 y[1] (numeric) 1.0096731958438412 absolute error 8.881784197001252e-16 relative error 8.796692071812636e-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 0.13231921531385615 Order of pole (three term test) -1.3352310240211982 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y[1] (analytic) 1.0111102339952986 y[1] (numeric) 1.0111102339952978 absolute error 8.881784197001252e-16 relative error 8.784189792942547e-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 0.14155010918215324 Order of pole (three term test) -1.4011667684321203 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y[1] (analytic) 1.0126461602992838 y[1] (numeric) 1.0126461602992827 absolute error 1.1102230246251565e-15 relative error 1.0963583017952039e-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 0.15072426466174257 Order of pole (three term test) -1.4715333365403611 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y[1] (analytic) 1.0142808211644467 y[1] (numeric) 1.0142808211644456 absolute error 1.1102230246251565e-15 relative error 1.0945913611484473e-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 0.15983800523475894 Order of pole (three term test) -1.5463024635015983 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y[1] (analytic) 1.0160140531260633 y[1] (numeric) 1.0160140531260622 absolute error 1.1102230246251565e-15 relative error 1.0927240831061656e-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 0.16888767875234878 Order of pole (three term test) -1.625444116885364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y[1] (analytic) 1.0178456828623816 y[1] (numeric) 1.0178456828623805 absolute error 1.1102230246251565e-15 relative error 1.0907577084799256e-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 0.1778696589063313 Order of pole (three term test) -1.7089265088893386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y[1] (analytic) 1.0197755272119546 y[1] (numeric) 1.0197755272119535 absolute error 1.1102230246251565e-15 relative error 1.0886935359789262e-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 0.1867803466901805 Order of pole (three term test) -1.796716109266061 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y[1] (analytic) 1.0218033931919557 y[1] (numeric) 1.0218033931919543 absolute error 1.3322676295501878e-15 relative error 1.303839504181318e-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 0.19561617184872457 Order of pole (three term test) -1.8887776589565468 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y[1] (analytic) 1.0239290780174761 y[1] (numeric) 1.0239290780174748 absolute error 1.3322676295501878e-15 relative error 1.301132723107849e-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 0.20437359431596677 Order of pole (three term test) -1.9850741844249862 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y[1] (analytic) 1.026152369121805 y[1] (numeric) 1.0261523691218037 absolute error 1.3322676295501878e-15 relative error 1.298313651695177e-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 0.21304910564043772 Order of pole (three term test) -2.085567012688436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y[1] (analytic) 1.028473044177685 y[1] (numeric) 1.0284730441776835 absolute error 1.5543122344752192e-15 relative error 1.5112814509571989e-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 0.2216392303974953 Order of pole (three term test) -2.1902157870351147 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y[1] (analytic) 1.030890871119544 y[1] (numeric) 1.0308908711195424 absolute error 1.5543122344752192e-15 relative error 1.5077369273696657e-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 0.23014052758798842 Order of pole (three term test) -2.2989784834245635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y[1] (analytic) 1.033405608166703 y[1] (numeric) 1.0334056081667011 absolute error 1.7763568394002505e-15 relative error 1.7189347777505956e-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 0.2385495920227166 Order of pole (three term test) -2.4118114275627582 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y[1] (analytic) 1.0360170038475522 y[1] (numeric) 1.0360170038475507 absolute error 1.5543122344752192e-15 relative error 1.500276760615729e-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 0.2468630556921158 Order of pole (three term test) -2.5286693126448823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 1.0387247970247004 y[1] (numeric) 1.0387247970246989 absolute error 1.5543122344752192e-15 relative error 1.4963657736171848e-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 0.25507758912060996 Order of pole (three term test) -2.6495052177582052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y[1] (analytic) 1.041528716921086 y[1] (numeric) 1.0415287169210847 absolute error 1.3322676295501878e-15 relative error 1.2791463239617332e-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 0.26318990270507936 Order of pole (three term test) -2.7742706269373425 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y[1] (analytic) 1.0444284831470565 y[1] (numeric) 1.044428483147055 absolute error 1.5543122344752192e-15 relative error 1.4881940310472847e-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 0.27119674803689153 Order of pole (three term test) -2.9029154488636624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y[1] (analytic) 1.047423805728405 y[1] (numeric) 1.0474238057284035 absolute error 1.5543122344752192e-15 relative error 1.483938235864623e-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 0.27909491920696483 Order of pole (three term test) -3.035388037200644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y[1] (analytic) 1.05051438513537 y[1] (numeric) 1.0505143851353684 absolute error 1.5543122344752192e-15 relative error 1.4795725374811783e-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 0.286881254093328 Order of pole (three term test) -3.171635211556473 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y[1] (analytic) 1.0536999123125859 y[1] (numeric) 1.0536999123125843 absolute error 1.5543122344752192e-15 relative error 1.475099519619324e-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 0.29455263563065287 Order of pole (three term test) -3.311602279065025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y[1] (analytic) 1.05698006870999 y[1] (numeric) 1.0569800687099882 absolute error 1.7763568394002505e-15 relative error 1.6805963442321448e-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 0.3021059930612485 Order of pole (three term test) -3.4552330565761387 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y[1] (analytic) 1.0603545263146756 y[1] (numeric) 1.0603545263146739 absolute error 1.7763568394002505e-15 relative error 1.6752480376295302e-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 0.30953830316700326 Order of pole (three term test) -3.602469893445729 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y[1] (analytic) 1.0638229476836945 y[1] (numeric) 1.0638229476836927 absolute error 1.7763568394002505e-15 relative error 1.6697861643875849e-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 0.3168465914817837 Order of pole (three term test) -3.753253694916209 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y[1] (analytic) 1.0673849859778 y[1] (numeric) 1.0673849859777982 absolute error 1.7763568394002505e-15 relative error 1.6642138148242569e-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 0.32402793348379405 Order of pole (three term test) -3.907523946077261 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y[1] (analytic) 1.0710402849961311 y[1] (numeric) 1.0710402849961294 absolute error 1.7763568394002505e-15 relative error 1.6585341039778603e-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 0.331079455767419 Order of pole (three term test) -4.065218736396915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y[1] (analytic) 1.0747884792118323 y[1] (numeric) 1.0747884792118305 absolute error 1.7763568394002505e-15 relative error 1.6527501678310645e-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 0.33799833719407507 Order of pole (three term test) -4.226274784812551 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 1.0786291938086052 y[1] (numeric) 1.0786291938086034 absolute error 1.7763568394002505e-15 relative error 1.6468651595901934e-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 0.3447818100216119 Order of pole (three term test) -4.390627465371346 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 1.0825620447181907 y[1] (numeric) 1.082562044718189 absolute error 1.7763568394002505e-15 relative error 1.6408822460265235e-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 0.3514271610118045 Order of pole (three term test) -4.558210833409253 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 1.0865866386587755 y[1] (numeric) 1.0865866386587737 absolute error 1.7763568394002505e-15 relative error 1.634804603885881e-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 0.3579317325154994 Order of pole (three term test) -4.728957652257664 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y[1] (analytic) 1.090702573174319 y[1] (numeric) 1.0907025731743172 absolute error 1.7763568394002505e-15 relative error 1.6286354163724417e-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 0.3642929235349733 Order of pole (three term test) -4.902799420466371 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y[1] (analytic) 1.0949094366747996 y[1] (numeric) 1.094909436674798 absolute error 1.5543122344752192e-15 relative error 1.4195806359981783e-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 0.37050819076308916 Order of pole (three term test) -5.07966639953162 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y[1] (analytic) 1.0992068084773732 y[1] (numeric) 1.0992068084773716 absolute error 1.5543122344752192e-15 relative error 1.4140307560760656e-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 0.37657504959882765 Order of pole (three term test) -5.259487642117413 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y[1] (analytic) 1.1035942588484404 y[1] (numeric) 1.103594258848439 absolute error 1.3322676295501878e-15 relative error 1.2072078292074114e-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 0.382491075138797 Order of pole (three term test) -5.442191020758436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y[1] (analytic) 1.1080713490466207 y[1] (numeric) 1.1080713490466194 absolute error 1.3322676295501878e-15 relative error 1.2023301845106494e-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 0.3882539031443247 Order of pole (three term test) -5.627703257032493 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y[1] (analytic) 1.1126376313666246 y[1] (numeric) 1.1126376313666235 absolute error 1.1102230246251565e-15 relative error 9.978298354528039e-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 0.3938612309837511 Order of pole (three term test) -5.815949951190331 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.06 y[1] (analytic) 1.117292649184026 y[1] (numeric) 1.117292649184025 absolute error 1.1102230246251565e-15 relative error 9.936725399884869e-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 0.3993108185495503 Order of pole (three term test) -6.006855612230389 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.07 y[1] (analytic) 1.1220359370009219 y[1] (numeric) 1.122035937000921 absolute error 8.881784197001252e-16 relative error 7.915775158451057e-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 0.40460048914992397 Order of pole (three term test) -6.200343688406146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y[1] (analytic) 1.1268670204924833 y[1] (numeric) 1.1268670204924827 absolute error 6.661338147750939e-16 relative error 5.911379094970482e-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 0.4097281303745094 Order of pole (three term test) -6.396336598153061 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y[1] (analytic) 1.1317854165543872 y[1] (numeric) 1.1317854165543866 absolute error 6.661338147750939e-16 relative error 5.885690034804254e-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 0.4146916949338728 Order of pole (three term test) -6.594755761422523 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y[1] (analytic) 1.1367906333511257 y[1] (numeric) 1.1367906333511253 absolute error 4.440892098500626e-16 relative error 3.906517144154677e-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 0.419489201472457 Order of pole (three term test) -6.795521631409688 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y[1] (analytic) 1.1418821703651907 y[1] (numeric) 1.1418821703651902 absolute error 4.440892098500626e-16 relative error 3.889098379634357e-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 0.4241187353546633 Order of pole (three term test) -6.998553726661926 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y[1] (analytic) 1.147059518447123 y[1] (numeric) 1.1470595184471228 absolute error 2.220446049250313e-16 relative error 1.9357723060929996e-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 0.42857844942377304 Order of pole (three term test) -7.203770663554772 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y[1] (analytic) 1.1523221598664295 y[1] (numeric) 1.1523221598664293 absolute error 2.220446049250313e-16 relative error 1.9269316572959896e-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 0.4328665647334088 Order of pole (three term test) -7.411090189121806 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y[1] (analytic) 1.1576695683633536 y[1] (numeric) 1.1576695683633533 absolute error 2.220446049250313e-16 relative error 1.918030938991902e-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 0.43698137125125736 Order of pole (three term test) -7.620429214224925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y[1] (analytic) 1.1631012092015012 y[1] (numeric) 1.1631012092015014 absolute error 2.220446049250313e-16 relative error 1.9090738034523292e-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 0.44092122853478466 Order of pole (three term test) -7.831703847051232 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y[1] (analytic) 1.1686165392213157 y[1] (numeric) 1.168616539221316 absolute error 2.220446049250313e-16 relative error 1.9000638573281385e-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 0.44468456637868903 Order of pole (three term test) -8.044829426922925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y[1] (analytic) 1.1742150068943906 y[1] (numeric) 1.174215006894391 absolute error 4.440892098500626e-16 relative error 3.782009318928796e-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 0.4482698854338412 Order of pole (three term test) -8.259720558406004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y[1] (analytic) 1.1798960523786244 y[1] (numeric) 1.1798960523786248 absolute error 4.440892098500626e-16 relative error 3.76379943771145e-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 0.45167575779748637 Order of pole (three term test) -8.476291145703978 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y[1] (analytic) 1.1856591075742025 y[1] (numeric) 1.1856591075742031 absolute error 6.661338147750939e-16 relative error 5.6182574782221294e-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 0.4549008275744794 Order of pole (three term test) -8.694454427322189 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y[1] (analytic) 1.1915035961804081 y[1] (numeric) 1.1915035961804088 absolute error 6.661338147750939e-16 relative error 5.590699154501194e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.102123968086211 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.45794381140935136 Order of pole (three term test) -8.91412301098887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y[1] (analytic) 1.1974289337532509 y[1] (numeric) 1.1974289337532518 absolute error 8.881784197001252e-16 relative error 7.417378974768856e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.379522191637859 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46080349898900713 Order of pole (three term test) -9.135208908818303 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y[1] (analytic) 1.2034345277639114 y[1] (numeric) 1.2034345277639125 absolute error 1.1102230246251565e-15 relative error 9.225454306085516e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.661075276706764 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46347875351587126 Order of pole (three term test) -9.357623572701824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y[1] (analytic) 1.209519777657993 y[1] (numeric) 1.2095197776579942 absolute error 1.3322676295501878e-15 relative error 1.1014847827704588e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.946934876102354 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4659685121513107 Order of pole (three term test) -9.581277929912238 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y[1] (analytic) 1.2156840749155777 y[1] (numeric) 1.215684074915579 absolute error 1.3322676295501878e-15 relative error 1.0958995491017731e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.237259067545049 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4682717864291746 Order of pole (three term test) -9.806082418906957 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y[1] (analytic) 1.2219268031120762 y[1] (numeric) 1.2219268031120778 absolute error 1.5543122344752192e-15 relative error 1.2720174649713909e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.53221272013302 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4703876626393046 Order of pole (three term test) -10.031947025315487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y[1] (analytic) 1.2282473379798715 y[1] (numeric) 1.2282473379798733 absolute error 1.7763568394002505e-15 relative error 1.446253359947735e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.83196788557814 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47231530218088136 Order of pole (three term test) -10.25878131809636 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y[1] (analytic) 1.2346450474707438 y[1] (numeric) 1.2346450474707455 absolute error 1.7763568394002505e-15 relative error 1.4387591340841168e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.136704216205905 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47405394188548566 Order of pole (three term test) -10.486494485849018 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y[1] (analytic) 1.241119291819075 y[1] (numeric) 1.2411192918190772 absolute error 2.220446049250313e-15 relative error 1.789067387709255e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.446609411898608 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4756028943097644 Order of pole (three term test) -10.714995373265783 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y[1] (analytic) 1.2476694236058261 y[1] (numeric) 1.2476694236058283 absolute error 2.220446049250313e-15 relative error 1.7796749741875654e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.76187969836599 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47696154799760343 Order of pole (three term test) -10.944192517709109 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y[1] (analytic) 1.2542947878232764 y[1] (numeric) 1.2542947878232789 absolute error 2.4424906541753444e-15 relative error 1.9473019244655256e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.082720339353852 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4781293677117261 Order of pole (three term test) -11.173994185899446 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y[1] (analytic) 1.2609947219405255 y[1] (numeric) 1.2609947219405282 absolute error 2.6645352591003757e-15 relative error 2.1130423567514724e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.40934618565212 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47910589463464226 Order of pole (three term test) -11.404308410698675 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y[1] (analytic) 1.267768555969745 y[1] (numeric) 1.2677685559697478 absolute error 2.886579864025407e-15 relative error 2.2768981376237057e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.74198226404239 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4798907465388901 Order of pole (three term test) -11.635043027974469 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y[1] (analytic) 1.2746156125331765 y[1] (numeric) 1.2746156125331796 absolute error 3.1086244689504383e-15 relative error 2.438872110449318e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.080864409633982 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48048361792652344 Order of pole (three term test) -11.866105713530487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y[1] (analytic) 1.2815352069308696 y[1] (numeric) 1.281535206930873 absolute error 3.3306690738754696e-15 relative error 2.598968062572422e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.426239945382378 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4808842801378118 Order of pole (three term test) -12.09740402008777 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y[1] (analytic) 1.2885266472091512 y[1] (numeric) 1.2885266472091548 absolute error 3.552713678800501e-15 relative error 2.7571906925599116e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.778368412966067 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48109258142912764 Order of pole (three term test) -12.328845414302215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y[1] (analytic) 1.2955892342298194 y[1] (numeric) 1.295589234229823 absolute error 3.552713678800501e-15 relative error 2.7421605435865326e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.13752235962624 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48110844702001554 Order of pole (three term test) -12.560337313803482 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y[1] (analytic) 1.3027222617400573 y[1] (numeric) 1.3027222617400613 absolute error 3.9968028886505635e-15 relative error 3.068039140831139e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.48250207259803 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4809318791094445 Order of pole (three term test) -12.791787124240308 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y[1] (analytic) 1.3099250164430587 y[1] (numeric) 1.3099250164430627 absolute error 3.9968028886505635e-15 relative error 3.051169218451445e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.116261527013872 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48056295686125705 Order of pole (three term test) -13.023102276317507 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y[1] (analytic) 1.3171967780693552 y[1] (numeric) 1.3171967780693592 absolute error 3.9968028886505635e-15 relative error 3.034324829209472e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.756939361427992 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48000183635884647 Order of pole (three term test) -13.254190262809797 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y[1] (analytic) 1.3245368194488436 y[1] (numeric) 1.324536819448848 absolute error 4.440892098500626e-15 relative error 3.352788713226211e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.404271503795048 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47924875052909793 Order of pole (three term test) -13.484958675537591 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y[1] (analytic) 1.3319444065835033 y[1] (numeric) 1.331944406583508 absolute error 4.6629367034256575e-15 relative error 3.5008493450460874e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.058006187331564 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47830400903565096 Order of pole (three term test) -13.715315242290217 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y[1] (analytic) 1.3394187987207937 y[1] (numeric) 1.3394187987207984 absolute error 4.6629367034256575e-15 relative error 3.4813134681094336e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.717903220712476 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47716799814154115 Order of pole (three term test) -13.945167863681627 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y[1] (analytic) 1.346959248427729 y[1] (numeric) 1.3469592484277342 absolute error 5.10702591327572e-15 relative error 3.79152221512048e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.383733309085777 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4758411805413039 Order of pole (three term test) -14.1744246499241 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y[1] (analytic) 1.3545650016656232 y[1] (numeric) 1.3545650016656283 absolute error 5.10702591327572e-15 relative error 3.770233179652458e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.055277421808313 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4743240951626241 Order of pole (three term test) -14.40299395750523 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y[1] (analytic) 1.36223529786549 y[1] (numeric) 1.3622352978654952 absolute error 5.329070518200751e-15 relative error 3.9120044287143084e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.732326203178882 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4726173569376355 Order of pole (three term test) -14.630784425753728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y[1] (analytic) 1.3699693700041013 y[1] (numeric) 1.369969370004107 absolute error 5.551115123125783e-15 relative error 4.051999442227795e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.414679422778795 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47072165654397935 Order of pole (three term test) -14.857705013279627 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y[1] (analytic) 1.3777664446806885 y[1] (numeric) 1.3777664446806943 absolute error 5.773159728050814e-15 relative error 4.190231044122143e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.10214546233277 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46863776011575037 Order of pole (three term test) -15.08366503427415 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y[1] (analytic) 1.3856257421942813 y[1] (numeric) 1.3856257421942875 absolute error 6.217248937900877e-15 relative error 4.486961196358276e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.794540836272775 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4663665089244605 Order of pole (three term test) -15.308574194655435 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y[1] (analytic) 1.3935464766216779 y[1] (numeric) 1.3935464766216843 absolute error 6.439293542825908e-15 relative error 4.620795682707651e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.491689743434403 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46390881903017545 Order of pole (three term test) -15.532342628045356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y[1] (analytic) 1.401527855896036 y[1] (numeric) 1.4015278558960427 absolute error 6.661338147750939e-15 relative error 4.752911702559175e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.193423647534827 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4612656809029752 Order of pole (three term test) -15.754880931563617 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y[1] (analytic) 1.4095690818860795 y[1] (numeric) 1.4095690818860864 absolute error 6.8833827526759706e-15 relative error 4.883324159938038e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.89958088428244 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4584381590149173 Order of pole (three term test) -15.976100201424869 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y[1] (analytic) 1.4176693504759101 y[1] (numeric) 1.4176693504759175 absolute error 7.327471962526033e-15 relative error 5.16867488181656e-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 0.45542739140267835 Order of pole (three term test) -16.195912068324915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y[1] (analytic) 1.4258278516454195 y[1] (numeric) 1.4258278516454268 absolute error 7.327471962526033e-15 relative error 5.139100035162069e-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 0.4522345892010705 Order of pole (three term test) -16.41422873260225 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y[1] (analytic) 1.4340437695512889 y[1] (numeric) 1.4340437695512964 absolute error 7.549516567451064e-15 relative error 5.264495218171271e-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 0.4488610361476377 Order of pole (three term test) -16.630962999160904 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y[1] (analytic) 1.4423162826085745 y[1] (numeric) 1.4423162826085825 absolute error 7.993605777301127e-15 relative error 5.542200329905369e-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 0.44530808805854544 Order of pole (three term test) -16.84602831214119 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y[1] (analytic) 1.4506445635728644 y[1] (numeric) 1.4506445635728726 absolute error 8.215650382226158e-15 relative error 5.663448227449614e-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 0.4415771722759924 Order of pole (three term test) -17.059338789324737 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y[1] (analytic) 1.4590277796230025 y[1] (numeric) 1.459027779623011 absolute error 8.43769498715119e-15 relative error 5.783094129524663e-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 0.43766978708737975 Order of pole (three term test) -17.270809256260325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y[1] (analytic) 1.4674650924443695 y[1] (numeric) 1.4674650924443782 absolute error 8.659739592076221e-15 relative error 5.90115542554516e-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 0.4335875011164886 Order of pole (three term test) -17.48035528009725 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y[1] (analytic) 1.4759556583127145 y[1] (numeric) 1.4759556583127234 absolute error 8.881784197001252e-15 relative error 6.017649749149473e-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 0.42933195268692065 Order of pole (three term test) -17.687893203113276 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y[1] (analytic) 1.484498628178526 y[1] (numeric) 1.484498628178535 absolute error 9.103828801926284e-15 relative error 6.132594957731046e-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 0.42490484915807514 Order of pole (three term test) -17.8933401759237 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y[1] (analytic) 1.4930931477519365 y[1] (numeric) 1.493093147751946 absolute error 9.547918011776346e-15 relative error 6.394723615302965e-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 0.42030796623393885 Order of pole (three term test) -18.09661419035925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y[1] (analytic) 1.501738357588151 y[1] (numeric) 1.5017383575881607 absolute error 9.547918011776346e-15 relative error 6.35791045992237e-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 0.4155431472449787 Order of pole (three term test) -18.2976341119995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y[1] (analytic) 1.51043339317339 y[1] (numeric) 1.5104333931734 absolute error 9.992007221626409e-15 relative error 6.615324625889927e-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 0.41061230240344015 Order of pole (three term test) -18.49631971234962 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y[1] (analytic) 1.5191773850113408 y[1] (numeric) 1.519177385011351 absolute error 1.021405182655144e-14 relative error 6.723409607940676e-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 0.4055174080323555 Order of pole (three term test) -18.692591700647863 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y[1] (analytic) 1.5279694587101065 y[1] (numeric) 1.527969458710117 absolute error 1.0436096431476471e-14 relative error 6.83004255876063e-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 0.40026050576858657 Order of pole (three term test) -18.886371755291545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y[1] (analytic) 1.5368087350696436 y[1] (numeric) 1.5368087350696542 absolute error 1.0658141036401503e-14 relative error 6.935242358521933e-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 0.3948437017402279 Order of pole (three term test) -19.077582554869412 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y[1] (analytic) 1.545694330169682 y[1] (numeric) 1.545694330169693 absolute error 1.1102230246251565e-14 relative error 7.182681614050298e-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 0.3892691657187087 Order of pole (three term test) -19.26614780878852 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y[1] (analytic) 1.5546253554581169 y[1] (numeric) 1.5546253554581282 absolute error 1.1324274851176597e-14 relative error 7.284246851769352e-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 0.38353913024594416 Order of pole (three term test) -19.45199228748367 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y[1] (analytic) 1.5636009178398618 y[1] (numeric) 1.5636009178398733 absolute error 1.1546319456101628e-14 relative error 7.384441467361789e-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 0.3776558897368898 Order of pole (three term test) -19.635041852198082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y[1] (analytic) 1.5726201197661578 y[1] (numeric) 1.5726201197661698 absolute error 1.199040866595169e-14 relative error 7.624478737900552e-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 0.3716217995578672 Order of pole (three term test) -19.815223484323603 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y[1] (analytic) 1.5816820593243286 y[1] (numeric) 1.5816820593243408 absolute error 1.2212453270876722e-14 relative error 7.72118087758655e-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 0.365439275081035 Order of pole (three term test) -19.992465314289458 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y[1] (analytic) 1.5907858303279698 y[1] (numeric) 1.5907858303279823 absolute error 1.2434497875801753e-14 relative error 7.816575706635602e-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 0.3591107907153883 Order of pole (three term test) -20.166696649988317 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y[1] (analytic) 1.5999305224075675 y[1] (numeric) 1.5999305224075804 absolute error 1.2878587085651816e-14 relative error 8.049466464501335e-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 0.3526388789146797 Order of pole (three term test) -20.33784800472895 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y[1] (analytic) 1.6091152211015343 y[1] (numeric) 1.6091152211015476 absolute error 1.3322676295501878e-14 relative error 8.279504239840402e-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 0.3460261291626622 Order of pole (three term test) -20.505851124704712 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y[1] (analytic) 1.6183390079476547 y[1] (numeric) 1.6183390079476683 absolute error 1.354472090042691e-14 relative error 8.369520127679586e-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 0.33927518693606196 Order of pole (three term test) -20.670639015967424 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y[1] (analytic) 1.6276009605749306 y[1] (numeric) 1.6276009605749444 absolute error 1.3766765505351941e-14 relative error 8.458317387874357e-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 0.33238875264569756 Order of pole (three term test) -20.832145970896438 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y[1] (analytic) 1.6369001527958176 y[1] (numeric) 1.6369001527958316 absolute error 1.3988810110276972e-14 relative error 8.545915330500856e-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 0.3253695805561735 Order of pole (three term test) -20.990307594152664 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y[1] (analytic) 1.6462356546988428 y[1] (numeric) 1.646235654698857 absolute error 1.4210854715202004e-14 relative error 8.632333211007809e-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 0.3182204776845727 Order of pole (three term test) -21.145060828107972 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y[1] (analytic) 1.6556065327415954 y[1] (numeric) 1.6556065327416098 absolute error 1.4432899320127035e-14 relative error 8.717590221287017e-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 0.3109443026785994 Order of pole (three term test) -21.296343977739944 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y[1] (analytic) 1.6650118498440802 y[1] (numeric) 1.6650118498440951 absolute error 1.4876988529977098e-14 relative error 8.93506465516762e-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 0.3035439646746078 Order of pole (three term test) -21.44409673498296 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y[1] (analytic) 1.674450665482425 y[1] (numeric) 1.67445066548244 absolute error 1.509903313490213e-14 relative error 9.017305463909835e-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 0.2960224221359793 Order of pole (three term test) -21.588260202526023 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y[1] (analytic) 1.683922035782931 y[1] (numeric) 1.6839220357829465 absolute error 1.554312234475219e-14 relative error 9.230309963564018e-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 0.28838268167230374 Order of pole (three term test) -21.728776917048606 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y[1] (analytic) 1.6934250136164615 y[1] (numeric) 1.6934250136164772 absolute error 1.5765166949677223e-14 relative error 9.309633921143806e-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 0.2806277968398406 Order of pole (three term test) -21.865590871885534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y[1] (analytic) 1.7029586486931518 y[1] (numeric) 1.702958648693168 absolute error 1.6209256159527285e-14 relative error 9.51829110587403e-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 0.27276086692372375 Order of pole (three term test) -21.9986475391125 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y[1] (analytic) 1.7125219876574396 y[1] (numeric) 1.7125219876574558 absolute error 1.6209256159527285e-14 relative error 9.465137543547656e-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 0.26478503570240397 Order of pole (three term test) -22.12789389104378 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y[1] (analytic) 1.7221140741833971 y[1] (numeric) 1.7221140741834136 absolute error 1.6431300764452317e-14 relative error 9.541354438000174e-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 0.25670349019480515 Order of pole (three term test) -22.25327842113409 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y[1] (analytic) 1.7317339490703654 y[1] (numeric) 1.7317339490703823 absolute error 1.687538997430238e-14 relative error 9.744793640709924e-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 0.24851945939069645 Order of pole (three term test) -22.37475116427674 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y[1] (analytic) 1.7413806503388725 y[1] (numeric) 1.7413806503388896 absolute error 1.709743457922741e-14 relative error 9.818321213056004e-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 0.24023621296477524 Order of pole (three term test) -22.49226371649036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y[1] (analytic) 1.7510532133268302 y[1] (numeric) 1.7510532133268477 absolute error 1.7541523789077473e-14 relative error 1.0017698865787345e-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 0.23185705997496742 Order of pole (three term test) -22.605769253986917 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y[1] (analytic) 1.7607506707860003 y[1] (numeric) 1.760750670786018 absolute error 1.7763568394002505e-14 relative error 1.0088633608796432e-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 0.22338534754545702 Order of pole (three term test) -22.715222551613817 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y[1] (analytic) 1.7704720529787181 y[1] (numeric) 1.770472052978736 absolute error 1.7985612998927536e-14 relative error 1.01586539977673e-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 0.21482445953495993 Order of pole (three term test) -22.820580000663057 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y[1] (analytic) 1.7802163877748653 y[1] (numeric) 1.7802163877748836 absolute error 1.8207657603852567e-14 relative error 1.0227777774032712e-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 0.2061778151907631 Order of pole (three term test) -22.921799626040986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y[1] (analytic) 1.7899827007490825 y[1] (numeric) 1.7899827007491012 absolute error 1.865174681370263e-14 relative error 1.042007099057278e-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 0.19744886778905585 Order of pole (three term test) -23.01884110279204 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y[1] (analytic) 1.7997700152782112 y[1] (numeric) 1.79977001527823 absolute error 1.887379141862766e-14 relative error 1.0486779565393593e-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 0.18864110326208652 Order of pole (three term test) -23.111665771970298 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y[1] (analytic) 1.8095773526389543 y[1] (numeric) 1.8095773526389733 absolute error 1.9095836023552692e-14 relative error 1.055264976415887e-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 0.1797580388126758 Order of pole (three term test) -23.200236655853054 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y[1] (analytic) 1.8194037321057484 y[1] (numeric) 1.8194037321057677 absolute error 1.9317880628477724e-14 relative error 1.0617698693032537e-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 0.1708032215166288 Order of pole (three term test) -23.284518472490554 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y[1] (analytic) 1.8292481710488353 y[1] (numeric) 1.829248171048855 absolute error 1.9761969838327786e-14 relative error 1.0803329013032099e-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 0.1617802269135935 Order of pole (three term test) -23.364477649586522 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y[1] (analytic) 1.839109685032525 y[1] (numeric) 1.8391096850325448 absolute error 1.9761969838327786e-14 relative error 1.0745400341893308e-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 0.15269265758690803 Order of pole (three term test) -23.440082337704332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y[1] (analytic) 1.8489872879136364 y[1] (numeric) 1.8489872879136566 absolute error 2.020605904817785e-14 relative error 1.0928176294266468e-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 0.14354414173299168 Order of pole (three term test) -23.51130242279384 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y[1] (analytic) 1.858879991940113 y[1] (numeric) 1.8588799919401335 absolute error 2.042810365310288e-14 relative error 1.0989468788559108e-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 0.13433833172083648 Order of pole (three term test) -23.578109538034234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y[1] (analytic) 1.868786807849796 y[1] (numeric) 1.8687868078498169 absolute error 2.0872192862952943e-14 relative error 1.1168846427682267e-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 0.12507890264215718 Order of pole (three term test) -23.640477074988482 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y[1] (analytic) 1.87870674496935 y[1] (numeric) 1.8787067449693713 absolute error 2.1316282072803006e-14 relative error 1.1346253016806393e-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 0.11576955085275961 Order of pole (three term test) -23.69838019406522 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y[1] (analytic) 1.8886388113133297 y[1] (numeric) 1.8886388113133512 absolute error 2.1538326677728037e-14 relative error 1.1404153376870733e-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 0.10641399250569769 Order of pole (three term test) -23.751795834284145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y[1] (analytic) 1.8985820136833773 y[1] (numeric) 1.8985820136833993 absolute error 2.19824158875781e-14 relative error 1.1578333582193127e-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 0.09701596207678381 Order of pole (three term test) -23.8007027223414 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y[1] (analytic) 1.908535357767542 y[1] (numeric) 1.9085353577675643 absolute error 2.2426505097428162e-14 relative error 1.1750636427119153e-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 0.08757921088302295 Order of pole (three term test) -23.84508138097137 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y[1] (analytic) 1.9184978482397097 y[1] (numeric) 1.9184978482397324 absolute error 2.2648549702353193e-14 relative error 1.1805355801224403e-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 0.07810750559454634 Order of pole (three term test) -23.88491413660205 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y[1] (analytic) 1.928468488859135 y[1] (numeric) 1.9284684888591581 absolute error 2.3092638912203256e-14 relative error 1.1974600075453998e-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 0.06860462674061805 Order of pole (three term test) -23.92018512630081 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y[1] (analytic) 1.9384462825700652 y[1] (numeric) 1.9384462825700886 absolute error 2.3314683517128287e-14 relative error 1.2027510757851282e-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 0.05907436721029201 Order of pole (three term test) -23.950880304008354 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y[1] (analytic) 1.9484302316014437 y[1] (numeric) 1.9484302316014674 absolute error 2.375877272697835e-14 relative error 1.2193802139607874e-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 0.04952053074830074 Order of pole (three term test) -23.976987446058168 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y[1] (analytic) 1.9584193375666874 y[1] (numeric) 1.9584193375667114 absolute error 2.398081733190338e-14 relative error 1.2244985980223857e-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 0.03994693044675375 Order of pole (three term test) -23.998496155979726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y[1] (analytic) 1.968412601563524 y[1] (numeric) 1.9684126015635484 absolute error 2.4424906541753444e-14 relative error 1.2408428254499372e-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 0.030357387233230428 Order of pole (three term test) -24.01539786858348 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y[1] (analytic) 1.9784090242738814 y[1] (numeric) 1.978409024273906 absolute error 2.4646951146678475e-14 relative error 1.2457965387478171e-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 0.020755728355849483 Order of pole (three term test) -24.027685853326176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y[1] (analytic) 1.9884076060638192 y[1] (numeric) 1.988407606063844 absolute error 2.4868995751603507e-14 relative error 1.2506990858294534e-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 0.011145785865900652 Order of pole (three term test) -24.035355216955267 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y[1] (analytic) 1.99840734708349 y[1] (numeric) 1.9984073470835153 absolute error 2.531308496145357e-14 relative error 1.2666629252737647e-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 0.001531395098623236 Order of pole (three term test) -24.038402905431376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y[1] (analytic) 2.0084072473671255 y[1] (numeric) 2.0084072473671513 absolute error 2.5757174171303632e-14 relative error 1.2824676969807491e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.0184063069330302 y[1] (numeric) 2.0184063069330564 absolute error 2.6201263381153694e-14 relative error 1.298116404569035e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.02840352588358 y[1] (numeric) 2.028403525883607 absolute error 2.6645352591003757e-14 relative error 1.3136120230020277e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.0383979045052114 y[1] (numeric) 2.0383979045052385 absolute error 2.708944180085382e-14 relative error 1.3289574984835627e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.04838844336839 y[1] (numeric) 2.0483884433684176 absolute error 2.7533531010703882e-14 relative error 1.3441557483807842e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.0583741434275558 y[1] (numeric) 2.0583741434275833 absolute error 2.7533531010703882e-14 relative error 1.3376349046464264e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.0683540061210235 y[1] (numeric) 2.0683540061210515 absolute error 2.7977620220553945e-14 relative error 1.3526514386685177e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.0783270334708406 y[1] (numeric) 2.078327033470869 absolute error 2.842170943040401e-14 relative error 1.3675282557884685e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.0882922281825826 y[1] (numeric) 2.0882922281826115 absolute error 2.886579864025407e-14 relative error 1.3822681639425364e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.0982485937450837 y[1] (numeric) 2.0982485937451125 absolute error 2.886579864025407e-14 relative error 1.3757091855704576e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.1081951345300833 y[1] (numeric) 2.1081951345301126 absolute error 2.930988785010413e-14 relative error 1.3902834405619338e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.1181308558917924 y[1] (numeric) 2.118130855891822 absolute error 2.9753977059954195e-14 relative error 1.4047279929467312e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.1280547642663543 y[1] (numeric) 2.1280547642663845 absolute error 3.019806626980426e-14 relative error 1.4190455422896518e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.1379658672712014 y[1] (numeric) 2.137965867271232 absolute error 3.064215547965432e-14 relative error 1.4332387597358849e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.147863173804293 y[1] (numeric) 2.1478631738043235 absolute error 3.064215547965432e-14 relative error 1.4266344268746397e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.1577456941432223 y[1] (numeric) 2.1577456941432533 absolute error 3.108624468950438e-14 relative error 1.4406815767901612e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.167612440044192 y[1] (numeric) 2.1676124400442234 absolute error 3.1530333899354446e-14 relative error 1.4546112264751362e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.177462424840834 y[1] (numeric) 2.1774624248408654 absolute error 3.1530333899354446e-14 relative error 1.4480311365951227e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.1872946635428767 y[1] (numeric) 2.1872946635429082 absolute error 3.1530333899354446e-14 relative error 1.441522005466017e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.197108172934643 y[1] (numeric) 2.197108172934675 absolute error 3.197442310920451e-14 relative error 1.4552958066919742e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.2069019716733727 y[1] (numeric) 2.206901971673405 absolute error 3.241851231905457e-14 relative error 1.4689602318164315e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.2166750803873527 y[1] (numeric) 2.216675080387385 absolute error 3.241851231905457e-14 relative error 1.4624837264552819e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.2264265217738557 y[1] (numeric) 2.2264265217738886 absolute error 3.2862601528904634e-14 relative error 1.476024526635718e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.2361553206968696 y[1] (numeric) 2.236155320696903 absolute error 3.3306690738754696e-14 relative error 1.4894623119638706e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.2458605042846096 y[1] (numeric) 2.245860504284643 absolute error 3.3306690738754696e-14 relative error 1.483025801255814e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.255541102026804 y[1] (numeric) 2.2555411020268377 absolute error 3.375077994860476e-14 relative error 1.4963495862822756e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.2651961458717453 y[1] (numeric) 2.26519614587178 absolute error 3.4638958368304884e-14 relative error 1.5291814102471164e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.2748246703230963 y[1] (numeric) 2.274824670323131 absolute error 3.4638958368304884e-14 relative error 1.5227089287450478e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.2844257125364344 y[1] (numeric) 2.2844257125364695 absolute error 3.5083047578154947e-14 relative error 1.5357491112810877e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.2939983124155394 y[1] (numeric) 2.293998312415575 absolute error 3.552713678800501e-14 relative error 1.548699342790517e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.303541512708401 y[1] (numeric) 2.3035415127084367 absolute error 3.552713678800501e-14 relative error 1.5422833316441425e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.3130543591029418 y[1] (numeric) 2.3130543591029777 absolute error 3.597122599785507e-14 relative error 1.5551396730600652e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.3225359003224506 y[1] (numeric) 2.3225359003224866 absolute error 3.597122599785507e-14 relative error 1.548790957025077e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.3319851882207057 y[1] (numeric) 2.331985188220742 absolute error 3.6415315207705135e-14 relative error 1.5615585978695627e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.341401277876792 y[1] (numeric) 2.341401277876829 absolute error 3.68594044175552e-14 relative error 1.5742455069888618e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.350783227689591 y[1] (numeric) 2.3507832276896283 absolute error 3.730349362740526e-14 relative error 1.586853827609961e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.3601300994719394 y[1] (numeric) 2.360130099471977 absolute error 3.774758283725532e-14 relative error 1.5993856798699805e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.3694409585444483 y[1] (numeric) 2.369440958544486 absolute error 3.774758283725532e-14 relative error 1.5931007987826684e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.3787148738289687 y[1] (numeric) 2.378714873829007 absolute error 3.8191672047105385e-14 relative error 1.6055590549038368e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.3879509179417013 y[1] (numeric) 2.3879509179417395 absolute error 3.8191672047105385e-14 relative error 1.5993491223020934e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.397148167285931 y[1] (numeric) 2.3971481672859696 absolute error 3.863576125695545e-14 relative error 1.611738556015048e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.4063057021443877 y[1] (numeric) 2.4063057021444267 absolute error 3.907985046680551e-14 relative error 1.6240600864628035e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.415422606771217 y[1] (numeric) 2.4154226067712563 absolute error 3.952393967665557e-14 relative error 1.6363157141055602e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.424497969483553 y[1] (numeric) 2.424497969483593 absolute error 3.9968028886505635e-14 relative error 1.648507418425238e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.4335308827526885 y[1] (numeric) 2.4335308827527284 absolute error 3.9968028886505635e-14 relative error 1.6423883982641634e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.442520443294823 y[1] (numeric) 2.442520443294863 absolute error 3.9968028886505635e-14 relative error 1.6363436791788324e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.451465752161394 y[1] (numeric) 2.4514657521614343 absolute error 4.04121180963557e-14 relative error 1.6484879733981755e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.4603659148289685 y[1] (numeric) 2.4603659148290093 absolute error 4.085620730620576e-14 relative error 1.6605744316306652e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.4692200412886978 y[1] (numeric) 2.4692200412887386 absolute error 4.085620730620576e-14 relative error 1.6546199456927585e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.478027246135313 y[1] (numeric) 2.4780272461353543 absolute error 4.1300296516055823e-14 relative error 1.6666603073257983e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.48678664865567 y[1] (numeric) 2.4867866486557113 absolute error 4.1300296516055823e-14 relative error 1.6607896997670595e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.495497372916815 y[1] (numeric) 2.495497372916857 absolute error 4.1744385725905886e-14 relative error 1.6727882056278725e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.504158547853582 y[1] (numeric) 2.5041585478536237 absolute error 4.1744385725905886e-14 relative error 1.6670025051603352e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.5127693073556943 y[1] (numeric) 2.512769307355736 absolute error 4.1744385725905886e-14 relative error 1.661290019887877e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.521328790354377 y[1] (numeric) 2.5213287903544193 absolute error 4.218847493575595e-14 relative error 1.6732635226771154e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.5298361409084635 y[1] (numeric) 2.529836140908506 absolute error 4.263256414560601e-14 relative error 1.6851907305860793e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.538290508289988 y[1] (numeric) 2.538290508290031 absolute error 4.3076653355456074e-14 relative error 1.6970734127858451e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.5466910470692574 y[1] (numeric) 2.5466910470693005 absolute error 4.3076653355456074e-14 relative error 1.6914754306388623e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.555036917199394 y[1] (numeric) 2.5550369171994376 absolute error 4.3520742565306136e-14 relative error 1.703331261961167e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.5633272841003403 y[1] (numeric) 2.563327284100384 absolute error 4.3520742565306136e-14 relative error 1.6978223122444842e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.5715613187423143 y[1] (numeric) 2.571561318742358 absolute error 4.3520742565306136e-14 relative error 1.6923859543271958e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.5797381977287133 y[1] (numeric) 2.5797381977287572 absolute error 4.39648317751562e-14 relative error 1.7042361823329317e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.5878571033784534 y[1] (numeric) 2.5878571033784974 absolute error 4.39648317751562e-14 relative error 1.6988894679601903e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.80688646624329 Order of pole (ratio test) Not computed NO 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) 2.5959172238077346 y[1] (numeric) 2.595917223807779 absolute error 4.440892098500626e-14 relative error 1.71072176638462e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.099353145793092 Order of pole (ratio test) Not computed NO 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) 2.603917753011231 y[1] (numeric) 2.6039177530112756 absolute error 4.440892098500626e-14 relative error 1.705465579074099e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.396193045630449 Order of pole (ratio test) Not computed NO 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) 2.61185789094269 y[1] (numeric) 2.6118578909427344 absolute error 4.440892098500626e-14 relative error 1.7002809049836124e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.697565719558275 Order of pole (ratio test) Not computed NO 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) 2.619736843594934 y[1] (numeric) 2.619736843594979 absolute error 4.4853010194856324e-14 relative error 1.712118921582474e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.00363747349128 Order of pole (ratio test) Not computed NO 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) 2.627553823079264 y[1] (numeric) 2.6275538230793094 absolute error 4.529709940470639e-14 relative error 1.7239266045413346e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.314581750285084 Order of pole (ratio test) Not computed NO 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) 2.6353080477042465 y[1] (numeric) 2.635308047704292 absolute error 4.529709940470639e-14 relative error 1.7188540612611508e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.630579540550814 Order of pole (ratio test) Not computed NO 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) 2.64299874205388 y[1] (numeric) 2.6429987420539254 absolute error 4.529709940470639e-14 relative error 1.7138524768841135e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.951819821545877 Order of pole (ratio test) Not computed NO 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) 2.6506251370651386 y[1] (numeric) 2.650625137065184 absolute error 4.529709940470639e-14 relative error 1.7089213699550462e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.27850002642525 Order of pole (ratio test) Not computed NO 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) 2.658186470104876 y[1] (numeric) 2.658186470104922 absolute error 4.574118861455645e-14 relative error 1.7207667381119346e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.610826546351714 Order of pole (ratio test) Not computed NO 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) 2.66568198504609 y[1] (numeric) 2.6656819850461364 absolute error 4.618527782440651e-14 relative error 1.7325876861342092e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.94901526820086 Order of pole (ratio test) Not computed NO 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) 2.673110932343533 y[1] (numeric) 2.6731109323435795 absolute error 4.6629367034256575e-14 relative error 1.7443857817519126e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.293292150858907 Order of pole (ratio test) Not computed NO 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) 2.6804725691086655 y[1] (numeric) 2.680472569108712 absolute error 4.6629367034256575e-14 relative error 1.7395950091652005e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.643893843403426 Order of pole (ratio test) Not computed NO 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) 2.6877661591839455 y[1] (numeric) 2.6877661591839925 absolute error 4.707345624410664e-14 relative error 1.7513970135854004e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.00106834878055 Order of pole (ratio test) Not computed NO 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) 2.6949909732164437 y[1] (numeric) 2.6949909732164907 absolute error 4.707345624410664e-14 relative error 1.7467018150314975e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.36507573695232 Order of pole (ratio test) Not computed NO 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) 2.7021462887307774 y[1] (numeric) 2.7021462887308245 absolute error 4.707345624410664e-14 relative error 1.742076527848441e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.253445330228505 Order of pole (ratio test) Not computed NO 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) 2.709231390201358 y[1] (numeric) 2.7092313902014054 absolute error 4.75175454539567e-14 relative error 1.753912405777384e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.891994095071922 Order of pole (ratio test) Not computed NO 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) 2.7162455691239424 y[1] (numeric) 2.7162455691239904 absolute error 4.796163466380676e-14 relative error 1.7657326424751645e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.53765802059851 Order of pole (ratio test) Not computed NO 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) 2.723188124086484 y[1] (numeric) 2.723188124086532 absolute error 4.796163466380676e-14 relative error 1.7612310453173663e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.190160241905442 Order of pole (ratio test) Not computed NO 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) 2.730058360839272 y[1] (numeric) 2.73005836083932 absolute error 4.796163466380676e-14 relative error 1.7567988784335893e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.849237162847487 Order of pole (ratio test) Not computed NO 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) 2.7368555923643556 y[1] (numeric) 2.7368555923644036 absolute error 4.796163466380676e-14 relative error 1.7524357075183842e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.5146376503289 Order of pole (ratio test) Not computed NO 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) 2.743579138944247 y[1] (numeric) 2.743579138944295 absolute error 4.796163466380676e-14 relative error 1.7481411045523116e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.18612228612198 Order of pole (ratio test) Not computed NO 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) 2.7502283282298916 y[1] (numeric) 2.7502283282299396 absolute error 4.796163466380676e-14 relative error 1.743914647794932e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.863462671462226 Order of pole (ratio test) Not computed NO 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) 2.7568024953079013 y[1] (numeric) 2.7568024953079493 absolute error 4.796163466380676e-14 relative error 1.7397559217766897e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.546440780112398 Order of pole (ratio test) Not computed NO 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) 2.763300982767047 y[1] (numeric) 2.763300982767095 absolute error 4.796163466380676e-14 relative error 1.7356645172897565e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.234848355984395 Order of pole (ratio test) Not computed NO 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) 2.7697231407639977 y[1] (numeric) 2.7697231407640457 absolute error 4.796163466380676e-14 relative error 1.7316400313779041e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.928486351764231 Order of pole (ratio test) Not computed NO 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) 2.776068327088306 y[1] (numeric) 2.776068327088354 absolute error 4.796163466380676e-14 relative error 1.7276820673254673e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.627164405304839 Order of pole (ratio test) Not computed NO 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) 2.782335907226627 y[1] (numeric) 2.782335907226675 absolute error 4.796163466380676e-14 relative error 1.72379023464546e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.33070035083998 Order of pole (ratio test) Not computed NO 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) 2.7885252544261694 y[1] (numeric) 2.788525254426218 absolute error 4.8405723873656825e-14 relative error 1.735889743039745e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.038919762331375 Order of pole (ratio test) Not computed NO 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) 2.7946357497573713 y[1] (numeric) 2.79463574975742 absolute error 4.884981308350689e-14 relative error 1.7479849775681143e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.751655526495425 Order of pole (ratio test) Not computed NO 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) 2.8006667821757922 y[1] (numeric) 2.800666782175841 absolute error 4.884981308350689e-14 relative error 1.7442208189278508e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.468747443266906 Order of pole (ratio test) Not computed NO 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) 2.806617748583215 y[1] (numeric) 2.8066177485832644 absolute error 4.929390229335695e-14 relative error 1.756345420328101e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.190041851648605 Order of pole (ratio test) Not computed NO 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) 2.8124880538879595 y[1] (numeric) 2.812488053888009 absolute error 4.929390229335695e-14 relative error 1.7526795260592656e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.818277111064386 y[1] (numeric) 2.8182771110644356 absolute error 4.973799150320701e-14 relative error 1.7648367972027542e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.823984341211601 y[1] (numeric) 2.823984341211651 absolute error 5.0182080713057076e-14 relative error 1.7769957142016934e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.8296091736113467 y[1] (numeric) 2.829609173611397 absolute error 5.0182080713057076e-14 relative error 1.7734633171623192e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.8351510457850697 y[1] (numeric) 2.83515104578512 absolute error 5.0182080713057076e-14 relative error 1.769996726899655e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.8406094035501708 y[1] (numeric) 2.8406094035502214 absolute error 5.062616992290714e-14 relative error 1.7822291885549262e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.845983701075423 y[1] (numeric) 2.8459837010754736 absolute error 5.062616992290714e-14 relative error 1.7788636633364004e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.8512734009355514 y[1] (numeric) 2.851273400935602 absolute error 5.062616992290714e-14 relative error 1.7755635045834548e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.856477974164978 y[1] (numeric) 2.856477974165029 absolute error 5.10702591327572e-14 relative error 1.787875124354367e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.861596900310718 y[1] (numeric) 2.861596900310769 absolute error 5.10702591327572e-14 relative error 1.7846769098475012e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.8666296674844216 y[1] (numeric) 2.8666296674844727 absolute error 5.10702591327572e-14 relative error 1.7815436612561582e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.871575772413566 y[1] (numeric) 2.871575772413617 absolute error 5.10702591327572e-14 relative error 1.7784750666646184e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.8764347204917797 y[1] (numeric) 2.876434720491831 absolute error 5.10702591327572e-14 relative error 1.7754708204893938e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.8812060258283037 y[1] (numeric) 2.881206025828355 absolute error 5.1514348342607263e-14 relative error 1.787943933228366e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.8858892112965813 y[1] (numeric) 2.885889211296633 absolute error 5.1514348342607263e-14 relative error 1.7850424798345858e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.8904838085819673 y[1] (numeric) 2.8904838085820193 absolute error 5.1958437552457326e-14 relative error 1.797568884426564e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.894989358228563 y[1] (numeric) 2.8949893582286146 absolute error 5.1514348342607263e-14 relative error 1.7794313542530176e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.8994054096851576 y[1] (numeric) 2.899405409685209 absolute error 5.1514348342607263e-14 relative error 1.776721122562889e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.9037315213502857 y[1] (numeric) 2.903731521350337 absolute error 5.1514348342607263e-14 relative error 1.7740740823949245e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.9079672606163856 y[1] (numeric) 2.9079672606164375 absolute error 5.1958437552457326e-14 relative error 1.7867614349084518e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.912112203913061 y[1] (numeric) 2.912112203913113 absolute error 5.1958437552457326e-14 relative error 1.7842182551427715e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.916165936749436 y[1] (numeric) 2.916165936749488 absolute error 5.1958437552457326e-14 relative error 1.7817380313540682e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.9201280537556054 y[1] (numeric) 2.9201280537556573 absolute error 5.1958437552457326e-14 relative error 1.7793205159490546e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.92399815872317 y[1] (numeric) 2.9239981587232218 absolute error 5.1958437552457326e-14 relative error 1.7769654675550876e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.9277758646448575 y[1] (numeric) 2.92777586464491 absolute error 5.240252676230739e-14 relative error 1.789840793317144e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.9314607937532253 y[1] (numeric) 2.9314607937532773 absolute error 5.1958437552457326e-14 relative error 1.7724418372975608e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 2.935052577558432 y[1] (numeric) 2.9350525775584844 absolute error 5.240252676230739e-14 relative error 1.7854033404028225e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3599999999999515 y[1] (analytic) 2.938550856885091 y[1] (numeric) 2.9385508568851435 absolute error 5.240252676230739e-14 relative error 1.7832778575033705e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.369999999999951 y[1] (analytic) 2.9419552819081844 y[1] (numeric) 2.9419552819082373 absolute error 5.284661597215745e-14 relative error 1.7963092878108111e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.379999999999951 y[1] (analytic) 2.9452655121880476 y[1] (numeric) 2.9452655121881004 absolute error 5.284661597215745e-14 relative error 1.7942903875208698e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.389999999999951 y[1] (analytic) 2.94848121670441 y[1] (numeric) 2.948481216704463 absolute error 5.284661597215745e-14 relative error 1.7923334791064199e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399999999999951 y[1] (analytic) 2.951602073889501 y[1] (numeric) 2.9516020738895534 absolute error 5.240252676230739e-14 relative error 1.7753926664393983e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.40999999999995 y[1] (analytic) 2.9546277716602014 y[1] (numeric) 2.9546277716602543 absolute error 5.284661597215745e-14 relative error 1.7886048618050797e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.41999999999995 y[1] (analytic) 2.957558007449257 y[1] (numeric) 2.9575580074493093 absolute error 5.240252676230739e-14 relative error 1.7718173787401687e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.42999999999995 y[1] (analytic) 2.9603924882355295 y[1] (numeric) 2.960392488235582 absolute error 5.240252676230739e-14 relative error 1.7701209204709425e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.43999999999995 y[1] (analytic) 2.963130930573303 y[1] (numeric) 2.9631309305733553 absolute error 5.240252676230739e-14 relative error 1.7684850244591998e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4499999999999496 y[1] (analytic) 2.965773060620626 y[1] (numeric) 2.965773060620678 absolute error 5.1958437552457326e-14 relative error 1.751935717616383e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.459999999999949 y[1] (analytic) 2.9683186141666944 y[1] (numeric) 2.9683186141667464 absolute error 5.1958437552457326e-14 relative error 1.7504333026946228e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.469999999999949 y[1] (analytic) 2.970767336658276 y[1] (numeric) 2.970767336658328 absolute error 5.1958437552457326e-14 relative error 1.7489904682641274e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.479999999999949 y[1] (analytic) 2.973118983225162 y[1] (numeric) 2.9731189832252136 absolute error 5.1514348342607263e-14 relative error 1.7326702575060025e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.489999999999949 y[1] (analytic) 2.975373318704655 y[1] (numeric) 2.975373318704707 absolute error 5.1958437552457326e-14 relative error 1.7462829697981467e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4999999999999485 y[1] (analytic) 2.9775301176650864 y[1] (numeric) 2.977530117665138 absolute error 5.1514348342607263e-14 relative error 1.7301033509949407e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.509999999999948 y[1] (analytic) 2.9795891644283565 y[1] (numeric) 2.979589164428408 absolute error 5.1514348342607263e-14 relative error 1.7289077621038555e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.519999999999948 y[1] (analytic) 2.9815502530915055 y[1] (numeric) 2.981550253091557 absolute error 5.1514348342607263e-14 relative error 1.7277705881090933e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.529999999999948 y[1] (analytic) 2.9834131875473013 y[1] (numeric) 2.983413187547353 absolute error 5.1514348342607263e-14 relative error 1.7266917153020232e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.539999999999948 y[1] (analytic) 2.9851777815038503 y[1] (numeric) 2.9851777815039022 absolute error 5.1958437552457326e-14 relative error 1.7405475102485219e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.549999999999947 y[1] (analytic) 2.986843858503228 y[1] (numeric) 2.98684385850328 absolute error 5.1958437552457326e-14 relative error 1.7395766238177184e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.559999999999947 y[1] (analytic) 2.9884112519391226 y[1] (numeric) 2.988411251939174 absolute error 5.1514348342607263e-14 relative error 1.7238038542781082e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.569999999999947 y[1] (analytic) 2.9898798050734965 y[1] (numeric) 2.989879805073548 absolute error 5.1514348342607263e-14 relative error 1.7229571655420091e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.579999999999947 y[1] (analytic) 2.99124937105226 y[1] (numeric) 2.9912493710523114 absolute error 5.1514348342607263e-14 relative error 1.7221682966701495e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.589999999999947 y[1] (analytic) 2.992519812919957 y[1] (numeric) 2.992519812920008 absolute error 5.10702591327572e-14 relative error 1.70659719318367e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.599999999999946 y[1] (analytic) 2.9936910036334585 y[1] (numeric) 2.9936910036335096 absolute error 5.10702591327572e-14 relative error 1.7059295388459583e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.609999999999946 y[1] (analytic) 2.99476282607467 y[1] (numeric) 2.994762826074721 absolute error 5.10702591327572e-14 relative error 1.7053189884721722e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.619999999999946 y[1] (analytic) 2.9957351730622404 y[1] (numeric) 2.9957351730622914 absolute error 5.10702591327572e-14 relative error 1.7047654810072276e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.629999999999946 y[1] (analytic) 2.996607947362281 y[1] (numeric) 2.996607947362332 absolute error 5.10702591327572e-14 relative error 1.7042689611002008e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6399999999999455 y[1] (analytic) 2.997381061698089 y[1] (numeric) 2.9973810616981402 absolute error 5.10702591327572e-14 relative error 1.7038293790988543e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.649999999999945 y[1] (analytic) 2.998054438758876 y[1] (numeric) 2.9980544387589267 absolute error 5.062616992290714e-14 relative error 1.6886341111225845e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.659999999999945 y[1] (analytic) 2.998628011207496 y[1] (numeric) 2.9986280112075465 absolute error 5.062616992290714e-14 relative error 1.6883111120715787e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.669999999999945 y[1] (analytic) 2.9991017216871825 y[1] (numeric) 2.999101721687233 absolute error 5.062616992290714e-14 relative error 1.6880444420013453e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.679999999999945 y[1] (analytic) 2.9994755228272822 y[1] (numeric) 2.999475522827333 absolute error 5.062616992290714e-14 relative error 1.6878340742446634e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.689999999999944 y[1] (analytic) 2.999749377247993 y[1] (numeric) 2.9997493772480435 absolute error 5.062616992290714e-14 relative error 1.6876799877645848e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.699999999999944 y[1] (analytic) 2.9999232575641 y[1] (numeric) 2.999923257564151 absolute error 5.062616992290714e-14 relative error 1.687582167152334e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.709999999999944 y[1] (analytic) 2.999997146387718 y[1] (numeric) 2.999997146387768 absolute error 5.0182080713057076e-14 relative error 1.6727376148834368e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.719999999999944 y[1] (analytic) 2.9999710363300247 y[1] (numeric) 2.999971036330075 absolute error 5.0182080713057076e-14 relative error 1.6727521734492033e-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 0.007328846334843735 Order of pole (three term test) -0.8902318491459422 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y[1] (analytic) 2.9998449300020056 y[1] (numeric) 2.9998449300020553 absolute error 4.973799150320701e-14 relative error 1.6580187530951395e-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 0.0169552455735148 Order of pole (three term test) -0.8960785729156341 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y[1] (analytic) 2.999618840014187 y[1] (numeric) 2.9996188400142367 absolute error 4.973799150320701e-14 relative error 1.6581437227861848e-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 0.02657484788057173 Order of pole (three term test) -0.9065590265506294 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y[1] (analytic) 2.99929278897538 y[1] (numeric) 2.9992927889754295 absolute error 4.929390229335695e-14 relative error 1.643517514346999e-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 0.0361837970207231 Order of pole (three term test) -0.9216689994004255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y[1] (analytic) 2.998866809490417 y[1] (numeric) 2.9988668094904662 absolute error 4.929390229335695e-14 relative error 1.643750970778633e-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 0.04577824105759806 Order of pole (three term test) -0.9414024208782336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y[1] (analytic) 2.998340944156891 y[1] (numeric) 2.99834094415694 absolute error 4.884981308350689e-14 relative error 1.629228096247842e-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 0.05535433390806855 Order of pole (three term test) -0.9657513629321234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y[1] (analytic) 2.9977152455608973 y[1] (numeric) 2.997715245560946 absolute error 4.884981308350689e-14 relative error 1.6295681571438479e-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 0.06490823689414711 Order of pole (three term test) -0.9947060432721989 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y[1] (analytic) 2.996989776271774 y[1] (numeric) 2.996989776271823 absolute error 4.884981308350689e-14 relative error 1.6299626201686805e-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 0.07443612029181922 Order of pole (three term test) -1.0282548293524247 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y[1] (analytic) 2.996164608835846 y[1] (numeric) 2.9961646088358944 absolute error 4.8405723873656825e-14 relative error 1.6155896018164627e-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 0.0839341648761677 Order of pole (three term test) -1.0663842431053985 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y[1] (analytic) 2.9952398257691684 y[1] (numeric) 2.9952398257692168 absolute error 4.8405723873656825e-14 relative error 1.6160884166003764e-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 0.09339856346215111 Order of pole (three term test) -1.1090789664280443 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y[1] (analytic) 2.994215519549278 y[1] (numeric) 2.994215519549326 absolute error 4.796163466380676e-14 relative error 1.6018097010941441e-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 0.10282552244039714 Order of pole (three term test) -1.156321847415877 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y[1] (analytic) 2.9930917926059424 y[1] (numeric) 2.9930917926059903 absolute error 4.796163466380676e-14 relative error 1.6024110848284026e-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 0.11221126330737778 Order of pole (three term test) -1.2080939073431767 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y[1] (analytic) 2.99186875731092 y[1] (numeric) 2.991868757310968 absolute error 4.796163466380676e-14 relative error 1.6030661287066112e-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 0.12155202418933207 Order of pole (three term test) -1.2643743483860865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y[1] (analytic) 2.9905465359667214 y[1] (numeric) 2.990546535966769 absolute error 4.75175454539567e-14 relative error 1.588925130656635e-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 0.13084406135930865 Order of pole (three term test) -1.3251405620853347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y[1] (analytic) 2.9891252607943786 y[1] (numeric) 2.989125260794426 absolute error 4.75175454539567e-14 relative error 1.5896806359104742e-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 0.14008365074669735 Order of pole (three term test) -1.3903681385449498 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y[1] (analytic) 2.987605073920225 y[1] (numeric) 2.987605073920272 absolute error 4.707345624410664e-14 relative error 1.5756251271302932e-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 0.14926708943863345 Order of pole (three term test) -1.4600308763630725 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y[1] (analytic) 2.9859861273616803 y[1] (numeric) 2.9859861273617274 absolute error 4.707345624410664e-14 relative error 1.576479401989024e-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 0.15839069717264692 Order of pole (three term test) -1.5341007932905733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y[1] (analytic) 2.984268583012052 y[1] (numeric) 2.984268583012099 absolute error 4.707345624410664e-14 relative error 1.577386717538504e-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 0.16745081781994958 Order of pole (three term test) -1.6125481376129898 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y[1] (analytic) 2.9824526126243436 y[1] (numeric) 2.9824526126243907 absolute error 4.707345624410664e-14 relative error 1.5783471645065096e-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 0.1764438208587403 Order of pole (three term test) -1.6953414002508518 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y[1] (analytic) 2.9805383977940805 y[1] (numeric) 2.9805383977941275 absolute error 4.707345624410664e-14 relative error 1.5793608389325253e-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 0.1853661028369289 Order of pole (three term test) -1.7824473275733006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y[1] (analytic) 2.9785261299411507 y[1] (numeric) 2.9785261299411974 absolute error 4.6629367034256575e-14 relative error 1.5655181455526755e-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 0.19421408882367228 Order of pole (three term test) -1.873830934919496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y[1] (analytic) 2.976416010290663 y[1] (numeric) 2.976416010290709 absolute error 4.618527782440651e-14 relative error 1.5517077473285152e-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 0.20298423384912742 Order of pole (three term test) -1.9694555208220679 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y[1] (analytic) 2.974208249852823 y[1] (numeric) 2.974208249852869 absolute error 4.618527782440651e-14 relative error 1.5528595829391558e-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 0.21167302433182772 Order of pole (three term test) -2.0692826819265275 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y[1] (analytic) 2.971903069401835 y[1] (numeric) 2.9719030694018813 absolute error 4.618527782440651e-14 relative error 1.5540640709288804e-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 0.22027697949310157 Order of pole (three term test) -2.17327232860034 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y[1] (analytic) 2.9695006994538238 y[1] (numeric) 2.96950069945387 absolute error 4.618527782440651e-14 relative error 1.5553213317276304e-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 0.22879265275794589 Order of pole (three term test) -2.281382701224947 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y[1] (analytic) 2.9670013802437816 y[1] (numeric) 2.9670013802438278 absolute error 4.618527782440651e-14 relative error 1.5566314910379897e-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 0.237216633141786 Order of pole (three term test) -2.3935703871638534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y[1] (analytic) 2.964405361701547 y[1] (numeric) 2.964405361701593 absolute error 4.574118861455645e-14 relative error 1.5430139617714542e-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 0.24554554662255262 Order of pole (three term test) -2.5097903383995726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y[1] (analytic) 2.9617129034268106 y[1] (numeric) 2.9617129034268563 absolute error 4.574118861455645e-14 relative error 1.5444166975682287e-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 0.25377605749751303 Order of pole (three term test) -2.629995889831897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y[1] (analytic) 2.958924274663156 y[1] (numeric) 2.9589242746632016 absolute error 4.574118861455645e-14 relative error 1.5458722281685842e-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 0.261904869724304 Order of pole (three term test) -2.7541387782297533 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 2 ) = 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%