##############ECHO OF PROBLEM################# ##############temp/sing7postode.ode################# diff ( y , x , 1 ) = m1 * 5.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=64; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=2.0; x_end=3.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=100000; glob_max_h=0.0001; glob_type_given_pole=4; array_given_rad_poles[1][1]=6.0; array_given_rad_poles[1][2]=0.0; array_given_ord_poles[1][1]=6.0; array_given_ord_poles[1][2]=0.0; array_given_rad_poles[1][1]=6.0; array_given_rad_poles[1][2]=0.0; array_given_ord_poles[1][1]=6.0; array_given_ord_poles[1][2]=0.0; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=1000000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(1.0/ ( x - 6.0 ) / ( x - 6.0 )/ ( x - 6.0 )/ ( x - 6.0 )/ ( x - 6.0 )) ; } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 1000000 step_error = 1e-16 est_needed_step_err = 1e-16 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.254211160650322e-174 estimated_step_error = 5.254211160650322e-174 best_h = 2e-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 = 3.52604184650466e-166 estimated_step_error = 3.52604184650466e-166 best_h = 4e-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 = 2.366287197015772e-158 estimated_step_error = 2.366287197015772e-158 best_h = 8e-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 = 1.587989221482499e-150 estimated_step_error = 1.587989221482499e-150 best_h = 1.6e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.06568255319317e-142 estimated_step_error = 1.06568255319317e-142 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 = 7.15168832658992e-135 estimated_step_error = 7.15168832658992e-135 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 = 4.799435279580277e-127 estimated_step_error = 4.799435279580277e-127 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 = 3.220871307371706e-119 estimated_step_error = 3.220871307371706e-119 best_h = 0.0001 START of Soultion TOP MAIN SOLVE Loop x[1] = 2 y[1] (analytic) = -0.0009765625 y[1] (numeric) = -0.0009765625 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.0001 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 2.62e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010000000000021 y[1] (analytic) = -0.0009888616207243729 y[1] (numeric) = -0.0009888616207243471 absolute error = 2.580401170515501e-17 relative error = 2.609466396951753e-12 % Correct digits = 14 h = 0.0001 Radius of convergence (given) for eq 1 = 3.99 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.99 Order of pole (three term test) = 1.518e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020000000000042 y[1] (analytic) = -0.001001347089010851 y[1] (numeric) = -0.001001347089010799 absolute error = 5.139118297581291e-17 relative error = 5.132204760946384e-12 % Correct digits = 14 h = 0.0001 Radius of convergence (given) for eq 1 = 3.98 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.98 Order of pole (three term test) = 1.319e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030000000000063 y[1] (analytic) = -0.001014022207165349 y[1] (numeric) = -0.001014022207165271 absolute error = 7.849623728795052e-17 relative error = 7.741076746966223e-12 % Correct digits = 14 h = 0.0001 Radius of convergence (given) for eq 1 = 3.97 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.97 Order of pole (three term test) = 1.146e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.040000000000084 y[1] (analytic) = -0.001026890344544397 y[1] (numeric) = -0.001026890344544291 absolute error = 1.05384451165591e-16 relative error = 1.026248340199822e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.96 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.96 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.050000000000106 y[1] (analytic) = -0.001039954939090614 y[1] (numeric) = -0.001039954939090481 absolute error = 1.327063459122257e-16 relative error = 1.276077846490835e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.95 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.95 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060000000000127 y[1] (analytic) = -0.001053219498907358 y[1] (numeric) = -0.001053219498907197 absolute error = 1.608956023968489e-16 relative error = 1.527654990852019e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.94 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.94 Order of pole (three term test) = 2.248e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.070000000000148 y[1] (analytic) = -0.001066687603873646 y[1] (numeric) = -0.001066687603873457 absolute error = 1.893016993159691e-16 relative error = 1.774668596771212e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.93 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.93 Order of pole (three term test) = 1.3e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.080000000000169 y[1] (analytic) = -0.001080362907300475 y[1] (numeric) = -0.001080362907300257 absolute error = 2.185751579730777e-16 relative error = 2.023164220986037e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.92 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.92 Order of pole (three term test) = 1.127e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.09000000000019 y[1] (analytic) = -0.001094249137629728 y[1] (numeric) = -0.001094249137629481 absolute error = 2.478486166301863e-16 relative error = 2.265010847228588e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.91 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.91 Order of pole (three term test) = 9.766e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100000000000211 y[1] (analytic) = -0.001108350100176861 y[1] (numeric) = -0.001108350100176585 absolute error = 2.760378731148094e-16 relative error = 2.490529599544058e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.9 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.9 Order of pole (three term test) = 2.538e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110000000000232 y[1] (analytic) = -0.001122669678918624 y[1] (numeric) = -0.001122669678918317 absolute error = 3.070460552478949e-16 relative error = 2.734963462660247e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.89 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.89 Order of pole (three term test) = 2.931e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120000000000253 y[1] (analytic) = -0.001137211838327089 y[1] (numeric) = -0.001137211838326752 absolute error = 3.369700352084948e-16 relative error = 2.963124581117614e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.88 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.88 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130000000000274 y[1] (analytic) = -0.001151980625251319 y[1] (numeric) = -0.00115198062525095 absolute error = 3.688455790795686e-16 relative error = 3.201838390286298e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.87 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.87 Order of pole (three term test) = 1.098e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140000000000295 y[1] (analytic) = -0.001166980170848035 y[1] (numeric) = -0.001166980170847634 absolute error = 4.007211229506424e-16 relative error = 3.43382975101832e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.86 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.86 Order of pole (three term test) = 9.5e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.150000000000317 y[1] (analytic) = -0.00118221469256269 y[1] (numeric) = -0.001182214692562257 absolute error = 4.330303476907105e-16 relative error = 3.662874014465421e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.85 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.85 Order of pole (three term test) = 1.643e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.160000000000338 y[1] (analytic) = -0.001197688496162407 y[1] (numeric) = -0.001197688496161942 absolute error = 4.649058915617843e-16 relative error = 3.881692886350834e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.84 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.84 Order of pole (three term test) = 1.42e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.170000000000359 y[1] (analytic) = -0.001213405977822267 y[1] (numeric) = -0.001213405977821769 absolute error = 4.980824780398407e-16 relative error = 4.104829604793631e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.83 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.83 Order of pole (three term test) = 2.455e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.18000000000038 y[1] (analytic) = -0.001229371626266504 y[1] (numeric) = -0.001229371626265972 absolute error = 5.312590645178972e-16 relative error = 4.321387066100472e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.82 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.82 Order of pole (three term test) = 1.06e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.190000000000401 y[1] (analytic) = -0.001245590024966188 y[1] (numeric) = -0.001245590024965622 absolute error = 5.655198531684391e-16 relative error = 4.540176477278634e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.81 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.81 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200000000000422 y[1] (analytic) = -0.001262065854395053 y[1] (numeric) = -0.001262065854394453 absolute error = 5.99563801384484e-16 relative error = 4.750653852939184e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.8 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.8 Order of pole (three term test) = 1.58e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.210000000000443 y[1] (analytic) = -0.001278803894345157 y[1] (numeric) = -0.001278803894344523 absolute error = 6.346919517730143e-16 relative error = 4.963168743695637e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.79 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.79 Order of pole (three term test) = 2.046e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.220000000000464 y[1] (analytic) = -0.001295809026304128 y[1] (numeric) = -0.001295809026303457 absolute error = 6.713379852030243e-16 relative error = 5.180840475527453e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.78 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.78 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230000000000485 y[1] (analytic) = -0.001313086235895794 y[1] (numeric) = -0.001313086235895087 absolute error = 7.07116656895046e-16 relative error = 5.385150171897489e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.77 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.77 Order of pole (three term test) = 2.028e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.240000000000506 y[1] (analytic) = -0.001330640615386083 y[1] (numeric) = -0.001330640615385339 absolute error = 7.435458498905589e-16 relative error = 5.587878810348957e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.76 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.76 Order of pole (three term test) = 8.738e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.250000000000528 y[1] (analytic) = -0.001348477366256093 y[1] (numeric) = -0.00134847736625531 absolute error = 7.821434472310429e-16 relative error = 5.800197072662651e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.75 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.75 Order of pole (three term test) = 1.506e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260000000000549 y[1] (analytic) = -0.001366601801844329 y[1] (numeric) = -0.001366601801843509 absolute error = 8.198736828335385e-16 relative error = 5.999360470087624e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.74 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.74 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.27000000000057 y[1] (analytic) = -0.001385019350060165 y[1] (numeric) = -0.001385019350059306 absolute error = 8.589049610430166e-16 relative error = 6.201393222453577e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.73 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.73 Order of pole (three term test) = 1.116e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.280000000000591 y[1] (analytic) = -0.001403735556170632 y[1] (numeric) = -0.001403735556169733 absolute error = 8.985867605559861e-16 relative error = 6.401396307202736e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.72 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.72 Order of pole (three term test) = 1.92e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.290000000000612 y[1] (analytic) = -0.001422756085662733 y[1] (numeric) = -0.001422756085661795 absolute error = 9.380517196344584e-16 relative error = 6.593201245718133e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.71 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.71 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.300000000000633 y[1] (analytic) = -0.001442086727183532 y[1] (numeric) = -0.001442086727182554 absolute error = 9.775166787129308e-16 relative error = 6.77848745353943e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.7 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310000000000654 y[1] (analytic) = -0.001461733395560355 y[1] (numeric) = -0.001461733395559336 absolute error = 1.01871636126738e-15 relative error = 6.969235049027907e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.69 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.69 Order of pole (three term test) = 2.441e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320000000000675 y[1] (analytic) = -0.001481702134903508 y[1] (numeric) = -0.001481702134902448 absolute error = 1.059482362952835e-15 relative error = 7.150440955677175e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.68 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.68 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330000000000696 y[1] (analytic) = -0.001501999121793997 y[1] (numeric) = -0.001501999121792894 absolute error = 1.102850449852255e-15 relative error = 7.342550563777986e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.67 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.67 Order of pole (three term test) = 9.001e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.340000000000718 y[1] (analytic) = -0.001522630668558819 y[1] (numeric) = -0.001522630668557672 absolute error = 1.147085898489664e-15 relative error = 7.533579364819895e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.66 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.66 Order of pole (three term test) = 7.725e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.350000000000739 y[1] (analytic) = -0.001543603226636485 y[1] (numeric) = -0.001543603226635294 absolute error = 1.191104506692575e-15 relative error = 7.716390365987991e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.65 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.65 Order of pole (three term test) = 2.651e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.36000000000076 y[1] (analytic) = -0.001564923390035504 y[1] (numeric) = -0.001564923390034266 absolute error = 1.237725200109452e-15 relative error = 7.909174391478495e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.64 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.64 Order of pole (three term test) = 1.137e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370000000000781 y[1] (analytic) = -0.001586597898888668 y[1] (numeric) = -0.001586597898887384 absolute error = 1.284129053091831e-15 relative error = 8.093601119674361e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.63 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.63 Order of pole (three term test) = 1.949e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380000000000802 y[1] (analytic) = -0.001608633643106074 y[1] (numeric) = -0.001608633643104744 absolute error = 1.330099225205217e-15 relative error = 8.268503092083532e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.62 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.62 Order of pole (three term test) = 8.35e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390000000000823 y[1] (analytic) = -0.00163103766612988 y[1] (numeric) = -0.001631037666128502 absolute error = 1.377370439925585e-15 relative error = 8.444749428710647e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.61 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.61 Order of pole (three term test) = 7.152e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400000000000844 y[1] (analytic) = -0.001653817168793959 y[1] (numeric) = -0.001653817168792534 absolute error = 1.42485849508045e-15 relative error = 8.615574453852861e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.6 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.6 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.410000000000865 y[1] (analytic) = -0.001676979513291652 y[1] (numeric) = -0.001676979513290178 absolute error = 1.474081273711292e-15 relative error = 8.790097088412832e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.59 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.59 Order of pole (three term test) = 1.048e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420000000000886 y[1] (analytic) = -0.001700532227254972 y[1] (numeric) = -0.001700532227253448 absolute error = 1.524171414080122e-15 relative error = 8.962908139297455e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.58 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.58 Order of pole (three term test) = 1.793e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430000000000907 y[1] (analytic) = -0.001724483007948721 y[1] (numeric) = -0.001724483007947145 absolute error = 1.575345756621438e-15 relative error = 9.135177031957641e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.57 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.57 Order of pole (three term test) = 1.533e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.440000000000929 y[1] (analytic) = -0.001748839726583064 y[1] (numeric) = -0.001748839726581436 absolute error = 1.627604301335239e-15 relative error = 9.306766518366448e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.56 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.56 Order of pole (three term test) = 1.31e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.45000000000095 y[1] (analytic) = -0.001773610432748292 y[1] (numeric) = -0.001773610432746613 absolute error = 1.678995484311052e-15 relative error = 9.46654041558253e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.55 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.55 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.460000000000971 y[1] (analytic) = -0.001798803358975547 y[1] (numeric) = -0.001798803358973814 absolute error = 1.73298875250083e-15 relative error = 9.63412006017045e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.54 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.54 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.470000000000992 y[1] (analytic) = -0.001824426925427491 y[1] (numeric) = -0.001824426925425704 absolute error = 1.787415701559603e-15 relative error = 9.797135071007482e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.53 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.53 Order of pole (three term test) = 8.155e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.480000000001013 y[1] (analytic) = -0.001850489744722988 y[1] (numeric) = -0.001850489744721145 absolute error = 1.842493171921866e-15 relative error = 9.956786721872278e-11 % Correct digits = 13 h = 0.0001 Radius of convergence (given) for eq 1 = 3.52 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.52 Order of pole (three term test) = 6.957e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.490000000001034 y[1] (analytic) = -0.001877000626900022 y[1] (numeric) = -0.001877000626898123 absolute error = 1.898438004022118e-15 relative error = 1.011421081492925e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.51 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.51 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.500000000001055 y[1] (analytic) = -0.001903968584521225 y[1] (numeric) = -0.001903968584519271 absolute error = 1.954599676556867e-15 relative error = 1.026592398870055e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.5 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.5 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.510000000001076 y[1] (analytic) = -0.001931402837926537 y[1] (numeric) = -0.001931402837924524 absolute error = 2.013580274740079e-15 relative error = 1.042548056365995e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.49 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.49 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.520000000001097 y[1] (analytic) = -0.001959312820637667 y[1] (numeric) = -0.001959312820635594 absolute error = 2.072994553792284e-15 relative error = 1.058021226604141e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.48 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.48 Order of pole (three term test) = 7.337e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.530000000001118 y[1] (analytic) = -0.001987708184919199 y[1] (numeric) = -0.001987708184917067 absolute error = 2.13240883284449e-15 relative error = 1.072797732093241e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.47 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.47 Order of pole (three term test) = 1.249e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54000000000114 y[1] (analytic) = -0.002016598807501369 y[1] (numeric) = -0.002016598807499177 absolute error = 2.191823111896696e-15 relative error = 1.0868910086347e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.46 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.46 Order of pole (three term test) = 1.063e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.550000000001161 y[1] (analytic) = -0.002045994795469654 y[1] (numeric) = -0.002045994795467402 absolute error = 2.25210475268689e-15 relative error = 1.100738260758832e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.45 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.45 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.560000000001182 y[1] (analytic) = -0.002075906492326595 y[1] (numeric) = -0.00207590649232428 absolute error = 2.315855840429037e-15 relative error = 1.115587743951567e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.44 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.44 Order of pole (three term test) = 7.681e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570000000001203 y[1] (analytic) = -0.002106344484231358 y[1] (numeric) = -0.002106344484228979 absolute error = 2.378739566433197e-15 relative error = 1.129321240775694e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.43 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.43 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.580000000001224 y[1] (analytic) = -0.002137319606422818 y[1] (numeric) = -0.002137319606420375 absolute error = 2.442924335044339e-15 relative error = 1.142985039627744e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.42 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.42 Order of pole (three term test) = 2.216e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.590000000001245 y[1] (analytic) = -0.002168842949832109 y[1] (numeric) = -0.002168842949829597 absolute error = 2.512313274083411e-15 relative error = 1.158365696454826e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.41 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.41 Order of pole (three term test) = 9.406e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600000000001266 y[1] (analytic) = -0.002200925867890794 y[1] (numeric) = -0.002200925867888215 absolute error = 2.579100127908518e-15 relative error = 1.171825078497596e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.4 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.4 Order of pole (three term test) = 7.979e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.610000000001287 y[1] (analytic) = -0.002233579983541065 y[1] (numeric) = -0.002233579983538418 absolute error = 2.646754343471613e-15 relative error = 1.184983015148404e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.39 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.39 Order of pole (three term test) = 1.353e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620000000001308 y[1] (analytic) = -0.002266817196454566 y[1] (numeric) = -0.00226681719645185 absolute error = 2.71657696337968e-15 relative error = 1.198410250120109e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.38 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.38 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.630000000001329 y[1] (analytic) = -0.002300649690466697 y[1] (numeric) = -0.002300649690463907 absolute error = 2.7898690302397e-15 relative error = 1.212643994346554e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.37 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.37 Order of pole (three term test) = 9.715e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.640000000001351 y[1] (analytic) = -0.002335089941233497 y[1] (numeric) = -0.002335089941230632 absolute error = 2.864895820575697e-15 relative error = 1.226888853395657e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.36 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.36 Order of pole (three term test) = 1.645e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.650000000001372 y[1] (analytic) = -0.002370150724118451 y[1] (numeric) = -0.002370150724115513 absolute error = 2.937754206566723e-15 relative error = 1.239479910147649e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.35 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.35 Order of pole (three term test) = 6.961e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660000000001393 y[1] (analytic) = -0.002405845122316851 y[1] (numeric) = -0.002405845122313838 absolute error = 3.013648358640708e-15 relative error = 1.252636061517766e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.34 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.34 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.670000000001414 y[1] (analytic) = -0.002442186535225592 y[1] (numeric) = -0.002442186535222502 absolute error = 3.089542510714693e-15 relative error = 1.265072289176839e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.33 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.33 Order of pole (three term test) = 2.987e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680000000001435 y[1] (analytic) = -0.00247918868706659 y[1] (numeric) = -0.002479188687063423 absolute error = 3.166737705395661e-15 relative error = 1.277328233190104e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.32 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.32 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690000000001456 y[1] (analytic) = -0.002516865635772307 y[1] (numeric) = -0.00251686563576906 absolute error = 3.246968666159589e-15 relative error = 1.290084230167196e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.31 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.31 Order of pole (three term test) = 1.421e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700000000001477 y[1] (analytic) = -0.00255523178214216 y[1] (numeric) = -0.002555231782138832 absolute error = 3.328066988661504e-15 relative error = 1.30245209531303e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.3 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.3 Order of pole (three term test) = 1.2e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710000000001498 y[1] (analytic) = -0.002594301879278937 y[1] (numeric) = -0.002594301879275528 absolute error = 3.40916531116342e-15 relative error = 1.31409738334344e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.29 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.29 Order of pole (three term test) = 1.012e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720000000001519 y[1] (analytic) = -0.002634091042314661 y[1] (numeric) = -0.002634091042311168 absolute error = 3.492432038010307e-15 relative error = 1.325858515103333e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.28 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.28 Order of pole (three term test) = 1.707e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.730000000001541 y[1] (analytic) = -0.002674614758435705 y[1] (numeric) = -0.002674614758432129 absolute error = 3.576132445726188e-15 relative error = 1.337064500390984e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.27 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.27 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.740000000001562 y[1] (analytic) = -0.002715888897217314 y[1] (numeric) = -0.00271588889721365 absolute error = 3.663735981263017e-15 relative error = 1.349000684459833e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.26 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.26 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.750000000001583 y[1] (analytic) = -0.002757929721278056 y[1] (numeric) = -0.002757929721274304 absolute error = 3.752640559406828e-15 relative error = 1.360673018769968e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.25 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.25 Order of pole (three term test) = 2.041e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760000000001604 y[1] (analytic) = -0.002800753897265175 y[1] (numeric) = -0.002800753897261331 absolute error = 3.844580903633599e-15 relative error = 1.372695011649427e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.24 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.24 Order of pole (three term test) = 1.717e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.770000000001625 y[1] (analytic) = -0.00284437850718212 y[1] (numeric) = -0.002844378507178181 absolute error = 3.939123333074335e-15 relative error = 1.384880149785958e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.23 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.23 Order of pole (three term test) = 1.444e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.780000000001646 y[1] (analytic) = -0.002888821060070072 y[1] (numeric) = -0.002888821060066038 absolute error = 4.034533124253059e-15 relative error = 1.396601949500879e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.22 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.22 Order of pole (three term test) = 1.214e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790000000001667 y[1] (analytic) = -0.002934099504055637 y[1] (numeric) = -0.002934099504051507 absolute error = 4.130810277169772e-15 relative error = 1.407863050131732e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.21 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.21 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800000000001688 y[1] (analytic) = -0.002980232238777393 y[1] (numeric) = -0.002980232238773162 absolute error = 4.230556877038438e-15 relative error = 1.419539330523442e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.2 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.2 Order of pole (three term test) = 1.713e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.810000000001709 y[1] (analytic) = -0.003027238128204417 y[1] (numeric) = -0.003027238128200085 absolute error = 4.331604519514087e-15 relative error = 1.430876705455393e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.19 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.19 Order of pole (three term test) = 1.438e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.82000000000173 y[1] (analytic) = -0.003075136513860454 y[1] (numeric) = -0.003075136513856022 absolute error = 4.432218481120742e-15 relative error = 1.441307877274248e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.18 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.18 Order of pole (three term test) = 1.206e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830000000001752 y[1] (analytic) = -0.003123947228467891 y[1] (numeric) = -0.003123947228463356 absolute error = 4.534567166203374e-15 relative error = 1.451550501519614e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.17 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.17 Order of pole (three term test) = 2.022e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840000000001773 y[1] (analytic) = -0.003173690610026219 y[1] (numeric) = -0.003173690610021577 absolute error = 4.641686340844942e-15 relative error = 1.462551619298075e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.16 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.16 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.850000000001794 y[1] (analytic) = -0.003224387516340288 y[1] (numeric) = -0.003224387516335539 absolute error = 4.749239196355504e-15 relative error = 1.472912040593042e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.15 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.15 Order of pole (three term test) = 1.418e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.860000000001815 y[1] (analytic) = -0.003276059340014181 y[1] (numeric) = -0.003276059340009323 absolute error = 4.858093094473048e-15 relative error = 1.482907539291403e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.14 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.14 Order of pole (three term test) = 2.374e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.870000000001836 y[1] (analytic) = -0.0033287280239272 y[1] (numeric) = -0.003328728023922233 absolute error = 4.967380673459587e-15 relative error = 1.492275919736789e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.13 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.13 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880000000001857 y[1] (analytic) = -0.003382416077209045 y[1] (numeric) = -0.003382416077203966 absolute error = 5.078402975922103e-15 relative error = 1.501412854007151e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.12 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.12 Order of pole (three term test) = 2.49e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890000000001878 y[1] (analytic) = -0.003437146591731979 y[1] (numeric) = -0.003437146591726786 absolute error = 5.193328406205566e-15 relative error = 1.510941784879954e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.11 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.11 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900000000001899 y[1] (analytic) = -0.003492943259138433 y[1] (numeric) = -0.00349294325913312 absolute error = 5.313024326047966e-15 relative error = 1.521073756966345e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.1 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.1 Order of pole (three term test) = 1.158e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.91000000000192 y[1] (analytic) = -0.003549830388423228 y[1] (numeric) = -0.003549830388417795 absolute error = 5.43315392675936e-15 relative error = 1.530539020815772e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.09 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.09 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920000000001941 y[1] (analytic) = -0.003607832924090363 y[1] (numeric) = -0.003607832924084806 absolute error = 5.557186655291702e-15 relative error = 1.54031153110917e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.08 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.08 Order of pole (three term test) = 8.058e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.930000000001963 y[1] (analytic) = -0.003666976464905082 y[1] (numeric) = -0.003666976464899401 absolute error = 5.681219383824043e-15 relative error = 1.549292567922466e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.07 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.07 Order of pole (three term test) = 6.716e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940000000001984 y[1] (analytic) = -0.003727287283262765 y[1] (numeric) = -0.003727287283256954 absolute error = 5.810022601915321e-15 relative error = 1.558780464281623e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.06 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.06 Order of pole (three term test) = 1.119e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.950000000002005 y[1] (analytic) = -0.003788792345197019 y[1] (numeric) = -0.003788792345191078 absolute error = 5.940126862613582e-15 relative error = 1.567815367380524e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.05 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.05 Order of pole (three term test) = 9.316e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.960000000002026 y[1] (analytic) = -0.003851519331050284 y[1] (numeric) = -0.003851519331044211 absolute error = 6.073700570263796e-15 relative error = 1.576962244820809e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.04 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.04 Order of pole (three term test) = 7.751e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970000000002047 y[1] (analytic) = -0.003915496656831123 y[1] (numeric) = -0.003915496656824913 absolute error = 6.209442682258981e-15 relative error = 1.585863359486147e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.03 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.03 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.980000000002068 y[1] (analytic) = -0.003980753496283398 y[1] (numeric) = -0.003980753496277052 absolute error = 6.346485836861149e-15 relative error = 1.594292598822434e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.02 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.02 Order of pole (three term test) = 2.142e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.990000000002089 y[1] (analytic) = -0.004047319803693526 y[1] (numeric) = -0.004047319803687034 absolute error = 6.492202608843201e-15 relative error = 1.604074529252299e-10 % Correct digits = 12 h = 0.0001 Radius of convergence (given) for eq 1 = 3.01 Order of pole (given) = 6 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.01 Order of pole (three term test) = 8.896e-14 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 5.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; Iterations = 10000 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 100 %