##############ECHO OF PROBLEM################# ##############temp/sub_sin_cospostode.ode################# diff ( y , x , 1 ) = m1 * sin(x) - cos(x); ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=5.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(cos(x) - sin(x)) ; } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-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 = 2.219661992980815e-183 estimated_step_error = 2.219661992980815e-183 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 = 1.48958991439138e-175 estimated_step_error = 1.48958991439138e-175 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 = 9.996468245245111e-168 estimated_step_error = 9.996468245245111e-168 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 = 6.708515671738394e-160 estimated_step_error = 6.708515671738394e-160 best_h = 1.6e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.502007842835298e-152 estimated_step_error = 4.502007842835298e-152 best_h = 3.2e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.021245225662604e-144 estimated_step_error = 3.021245225662604e-144 best_h = 6.4e-05 opt_iter = 7 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.027521880105781e-136 estimated_step_error = 2.027521880105781e-136 best_h = 0.000128 opt_iter = 8 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.360644928770733e-128 estimated_step_error = 1.360644928770733e-128 best_h = 0.000256 opt_iter = 9 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.131107075615375e-121 estimated_step_error = 9.131107075615375e-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 = 6.127746698617241e-113 estimated_step_error = 6.127746698617241e-113 best_h = 0.001024 opt_iter = 11 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.112213509539573e-105 estimated_step_error = 4.112213509539573e-105 best_h = 0.002048 opt_iter = 12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.75959576338153e-97 estimated_step_error = 2.75959576338153e-97 best_h = 0.004096 opt_iter = 13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.85184745369321e-89 estimated_step_error = 1.85184745369321e-89 best_h = 0.008192 opt_iter = 14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.24263846688447e-81 estimated_step_error = 1.24263846688447e-81 best_h = 0.016384 opt_iter = 15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.337657480147984e-74 estimated_step_error = 8.337657480147984e-74 best_h = 0.032768 opt_iter = 16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.593228639274899e-66 estimated_step_error = 5.593228639274899e-66 best_h = 0.065536 opt_iter = 17 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.75076037740758e-58 estimated_step_error = 3.75076037740758e-58 best_h = 0.131072 opt_iter = 18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.513340188299279e-50 estimated_step_error = 2.513340188299279e-50 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 0.8951707486311976 y[1] (numeric) = 0.8951707486311976 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.53 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] = 0.11 y[1] (analytic) = 0.884177797119522 y[1] (numeric) = 0.884177797119522 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.22 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] = 0.12 y[1] (analytic) = 0.8730964285649468 y[1] (numeric) = 0.8730964285649468 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.91 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] = 0.13 y[1] (analytic) = 0.8619277510950932 y[1] (numeric) = 0.8619277510950931 absolute error = 1.110223024625157e-16 relative error = 1.288069705627415e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.61 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] = 0.14 y[1] (analytic) = 0.8506728815684006 y[1] (numeric) = 0.8506728815684006 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.31 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] = 0.15 y[1] (analytic) = 0.839332945462443 y[1] (numeric) = 0.839332945462443 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.01 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] = 0.16 y[1] (analytic) = 0.8279090767613809 y[1] (numeric) = 0.8279090767613809 absolute error = 0 relative error = 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] = 0.17 y[1] (analytic) = 0.8164024178425646 y[1] (numeric) = 0.8164024178425646 absolute error = 0 relative error = 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] = 0.18 y[1] (analytic) = 0.8048141193622972 y[1] (numeric) = 0.8048141193622972 absolute error = 0 relative error = 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] = 0.1900000000000001 y[1] (analytic) = 0.7931453401407697 y[1] (numeric) = 0.7931453401407697 absolute error = 0 relative error = 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] = 0.2000000000000001 y[1] (analytic) = 0.7813972470461803 y[1] (numeric) = 0.7813972470461803 absolute error = 0 relative error = 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] = 0.2100000000000001 y[1] (analytic) = 0.7695710148780486 y[1] (numeric) = 0.7695710148780486 absolute error = 0 relative error = 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] = 0.2200000000000001 y[1] (analytic) = 0.7576678262497362 y[1] (numeric) = 0.7576678262497361 absolute error = 1.110223024625157e-16 relative error = 1.465316311661905e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 0.7456888714701863 y[1] (numeric) = 0.7456888714701864 absolute error = 1.110223024625157e-16 relative error = 1.488855563093307e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 0.7336353484248949 y[1] (numeric) = 0.733635348424895 absolute error = 1.110223024625157e-16 relative error = 1.513317245425524e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 0.7215084624561217 y[1] (numeric) = 0.7215084624561218 absolute error = 1.110223024625157e-16 relative error = 1.538752602908901e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 0.709309426242358 y[1] (numeric) = 0.709309426242358 absolute error = 0 relative error = 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] = 0.2700000000000001 y[1] (analytic) = 0.6970394596770593 y[1] (numeric) = 0.6970394596770593 absolute error = 0 relative error = 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] = 0.2800000000000001 y[1] (analytic) = 0.684699789746657 y[1] (numeric) = 0.6846997897466571 absolute error = 1.110223024625157e-16 relative error = 1.621474171966586e-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] = 0.2900000000000001 y[1] (analytic) = 0.6722916504078614 y[1] (numeric) = 0.6722916504078615 absolute error = 1.110223024625157e-16 relative error = 1.651400882268304e-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] = 0.3000000000000002 y[1] (analytic) = 0.6598162824642663 y[1] (numeric) = 0.6598162824642664 absolute error = 1.110223024625157e-16 relative error = 1.682624473101394e-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] = 0.3100000000000002 y[1] (analytic) = 0.6472749334422697 y[1] (numeric) = 0.6472749334422698 absolute error = 1.110223024625157e-16 relative error = 1.715226354774601e-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) = 0.6346688574663228 y[1] (numeric) = 0.6346688574663231 absolute error = 2.220446049250313e-16 relative error = 3.498589891608374e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 0.6219993151335184 y[1] (numeric) = 0.6219993151335186 absolute error = 2.220446049250313e-16 relative error = 3.569852884441959e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 0.6092675733875316 y[1] (numeric) = 0.6092675733875318 absolute error = 2.220446049250313e-16 relative error = 3.644451381032177e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 0.5964749053919274 y[1] (numeric) = 0.5964749053919275 absolute error = 1.110223024625157e-16 relative error = 1.861307180887449e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 0.5836225904028446 y[1] (numeric) = 0.5836225904028448 absolute error = 2.220446049250313e-16 relative error = 3.80459236116555e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 0.5707119136410722 y[1] (numeric) = 0.5707119136410723 absolute error = 1.110223024625157e-16 relative error = 1.945330030946909e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 0.5577441661635273 y[1] (numeric) = 0.5577441661635274 absolute error = 1.110223024625157e-16 relative error = 1.990559636440277e-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] = 0.3900000000000002 y[1] (analytic) = 0.5447206447341514 y[1] (numeric) = 0.5447206447341514 absolute error = 0 relative error = 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] = 0.4000000000000002 y[1] (analytic) = 0.5316426516942343 y[1] (numeric) = 0.5316426516942343 absolute error = 0 relative error = 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] = 0.4100000000000003 y[1] (analytic) = 0.5185114948321818 y[1] (numeric) = 0.518511494832182 absolute error = 1.110223024625157e-16 relative error = 2.14117340828574e-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] = 0.4200000000000003 y[1] (analytic) = 0.5053284872527377 y[1] (numeric) = 0.5053284872527378 absolute error = 1.110223024625157e-16 relative error = 2.197032331703642e-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] = 0.4300000000000003 y[1] (analytic) = 0.492094947245674 y[1] (numeric) = 0.4920949472456741 absolute error = 1.110223024625157e-16 relative error = 2.256115472916831e-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) = 0.4788121981539634 y[1] (numeric) = 0.4788121981539635 absolute error = 1.110223024625157e-16 relative error = 2.318702466030661e-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) = 0.4654815682414463 y[1] (numeric) = 0.4654815682414464 absolute error = 1.110223024625157e-16 relative error = 2.38510630790279e-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) = 0.4521043905600051 y[1] (numeric) = 0.4521043905600052 absolute error = 1.110223024625157e-16 relative error = 2.455678484453478e-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) = 0.4386820028162603 y[1] (numeric) = 0.4386820028162604 absolute error = 5.551115123125783e-17 relative error = 1.265407536094167e-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) = 0.4252157472378009 y[1] (numeric) = 0.425215747237801 absolute error = 1.665334536937735e-16 relative error = 3.916446057691275e-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) = 0.411706970438963 y[1] (numeric) = 0.4117069704389632 absolute error = 1.665334536937735e-16 relative error = 4.044951036806957e-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) = 0.3981570232861693 y[1] (numeric) = 0.3981570232861695 absolute error = 2.220446049250313e-16 relative error = 5.576809950315511e-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) = 0.3845672607628433 y[1] (numeric) = 0.3845672607628435 absolute error = 2.775557561562891e-16 relative error = 7.217352709789134e-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) = 0.3709390418339127 y[1] (numeric) = 0.370939041833913 absolute error = 2.220446049250313e-16 relative error = 5.986013330579836e-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) = 0.3572737293099135 y[1] (numeric) = 0.3572737293099138 absolute error = 2.775557561562891e-16 relative error = 7.768714388611713e-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) = 0.3435726897107105 y[1] (numeric) = 0.3435726897107108 absolute error = 2.775557561562891e-16 relative error = 8.078516263617813e-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) = 0.3298372931288461 y[1] (numeric) = 0.3298372931288464 absolute error = 2.775557561562891e-16 relative error = 8.414929480028994e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (analytic) = 0.3160689130925322 y[1] (numeric) = 0.3160689130925325 absolute error = 3.33066907387547e-16 relative error = 1.053779393008633e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (analytic) = 0.3022689264282989 y[1] (numeric) = 0.3022689264282993 absolute error = 3.885780586188048e-16 relative error = 1.285537561569298e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (analytic) = 0.2884387131233128 y[1] (numeric) = 0.2884387131233132 absolute error = 3.33066907387547e-16 relative error = 1.154723316371041e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (analytic) = 0.2745796561873791 y[1] (numeric) = 0.2745796561873795 absolute error = 3.885780586188048e-16 relative error = 1.415174248574449e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (analytic) = 0.2606931415146424 y[1] (numeric) = 0.2606931415146427 absolute error = 3.33066907387547e-16 relative error = 1.277620521400788e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (analytic) = 0.2467805577449976 y[1] (numeric) = 0.246780557744998 absolute error = 4.163336342344337e-16 relative error = 1.687060107322709e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (analytic) = 0.2328432961252282 y[1] (numeric) = 0.2328432961252286 absolute error = 4.163336342344337e-16 relative error = 1.788042177561859e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (analytic) = 0.2188827503698818 y[1] (numeric) = 0.2188827503698821 absolute error = 3.608224830031759e-16 relative error = 1.648473817116403e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (analytic) = 0.2049003165218999 y[1] (numeric) = 0.2049003165219003 absolute error = 4.163336342344337e-16 relative error = 2.031883802336321e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (analytic) = 0.1908973928130156 y[1] (numeric) = 0.190897392813016 absolute error = 4.440892098500626e-16 relative error = 2.326324122640318e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (analytic) = 0.1768753795239306 y[1] (numeric) = 0.1768753795239311 absolute error = 4.718447854656915e-16 relative error = 2.667667974681873e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (analytic) = 0.162835678844289 y[1] (numeric) = 0.1628356788442894 absolute error = 4.163336342344337e-16 relative error = 2.556771569899931e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (analytic) = 0.1487796947324587 y[1] (numeric) = 0.1487796947324592 absolute error = 4.996003610813204e-16 relative error = 3.357987539762874e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (analytic) = 0.134708832775138 y[1] (numeric) = 0.1347088327751384 absolute error = 4.440892098500626e-16 relative error = 3.296659919779397e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (analytic) = 0.1206245000467966 y[1] (numeric) = 0.1206245000467971 absolute error = 5.273559366969494e-16 relative error = 4.371880807732759e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (analytic) = 0.1065281049689708 y[1] (numeric) = 0.1065281049689712 absolute error = 4.579669976578771e-16 relative error = 4.299025105076941e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (analytic) = 0.09242105716942106 y[1] (numeric) = 0.09242105716942159 absolute error = 5.273559366969494e-16 relative error = 5.706014980225018e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (analytic) = 0.0783047673411717 y[1] (numeric) = 0.07830476734117228 absolute error = 5.828670879282072e-16 relative error = 7.443570905315016e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (analytic) = 0.06418064710144203 y[1] (numeric) = 0.06418064710144261 absolute error = 5.828670879282072e-16 relative error = 9.081664243848223e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (analytic) = 0.05005010885048588 y[1] (numeric) = 0.05005010885048649 absolute error = 6.106226635438361e-16 relative error = 1.220022648438073e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (analytic) = 0.03591456563035301 y[1] (numeric) = 0.03591456563035361 absolute error = 5.967448757360216e-16 relative error = 1.66156784931762e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (analytic) = 0.0217754309835858 y[1] (numeric) = 0.02177543098358639 absolute error = 5.828670879282072e-16 relative error = 2.676718951590759e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (analytic) = 0.007634118811866371 y[1] (numeric) = 0.007634118811866944 absolute error = 5.733261088103347e-16 relative error = 7.510049593663181e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (analytic) = -0.0065079567653726 y[1] (numeric) = -0.006507956765371943 absolute error = 6.565928356572215e-16 relative error = 1.008907802139693e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.004437 Order of pole (three term test) = -0.8934 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (analytic) = -0.02064938155235824 y[1] (numeric) = -0.02064938155235757 absolute error = 6.661338147750939e-16 relative error = 3.225926224889863e-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 = 0.01408 Order of pole (three term test) = -0.898 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (analytic) = -0.03478874141839631 y[1] (numeric) = -0.03478874141839572 absolute error = 5.898059818321144e-16 relative error = 1.695393273181836e-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 = 0.02371 Order of pole (three term test) = -0.9075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (analytic) = -0.04892462243928315 y[1] (numeric) = -0.04892462243928256 absolute error = 5.898059818321144e-16 relative error = 1.205540180844687e-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 = 0.03334 Order of pole (three term test) = -0.9218 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (analytic) = -0.06305561103869654 y[1] (numeric) = -0.06305561103869585 absolute error = 6.938893903907228e-16 relative error = 1.100440355680465e-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 = 0.04295 Order of pole (three term test) = -0.9409 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (analytic) = -0.07718029412955207 y[1] (numeric) = -0.07718029412955144 absolute error = 6.38378239159465e-16 relative error = 8.271259475740092e-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 = 0.05255 Order of pole (three term test) = -0.9649 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (analytic) = -0.09129725925531149 y[1] (numeric) = -0.09129725925531076 absolute error = 7.216449660063518e-16 relative error = 7.904344247490299e-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 = 0.06212 Order of pole (three term test) = -0.9936 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (analytic) = -0.1054050947312261 y[1] (numeric) = -0.1054050947312254 absolute error = 6.938893903907228e-16 relative error = 6.583072593977371e-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 = 0.07167 Order of pole (three term test) = -1.027 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (analytic) = -0.1195023897855048 y[1] (numeric) = -0.1195023897855041 absolute error = 7.216449660063518e-16 relative error = 6.038749244275652e-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 = 0.08119 Order of pole (three term test) = -1.065 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (analytic) = -0.1335877347003901 y[1] (numeric) = -0.1335877347003893 absolute error = 7.494005416219807e-16 relative error = 5.609800505283906e-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 = 0.09068 Order of pole (three term test) = -1.109 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (analytic) = -0.147659720953128 y[1] (numeric) = -0.1476597209531272 absolute error = 7.494005416219807e-16 relative error = 5.075185953113544e-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 = 0.1001 Order of pole (three term test) = -1.156 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (analytic) = -0.1617169413568199 y[1] (numeric) = -0.1617169413568192 absolute error = 6.938893903907228e-16 relative error = 4.290764990785305e-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 = 0.1095 Order of pole (three term test) = -1.209 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (analytic) = -0.1757579902011398 y[1] (numeric) = -0.1757579902011391 absolute error = 7.494005416219807e-16 relative error = 4.263820613585513e-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 = 0.1189 Order of pole (three term test) = -1.266 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (analytic) = -0.1897814633929042 y[1] (numeric) = -0.1897814633929034 absolute error = 8.049116928532385e-16 relative error = 4.241255591895354e-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 = 0.1282 Order of pole (three term test) = -1.328 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (analytic) = -0.2037859585964799 y[1] (numeric) = -0.2037859585964791 absolute error = 7.771561172376096e-16 relative error = 3.813590114795248e-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 = 0.1375 Order of pole (three term test) = -1.395 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (analytic) = -0.2177700753740171 y[1] (numeric) = -0.2177700753740163 absolute error = 8.326672684688674e-16 relative error = 3.823607385168843e-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 = 0.1467 Order of pole (three term test) = -1.466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (analytic) = -0.2317324153254913 y[1] (numeric) = -0.2317324153254905 absolute error = 8.049116928532385e-16 relative error = 3.473453171075181e-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 = 0.1559 Order of pole (three term test) = -1.542 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (analytic) = -0.2456715822285427 y[1] (numeric) = -0.2456715822285418 absolute error = 8.604228440844963e-16 relative error = 3.502329558345355e-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 = 0.165 Order of pole (three term test) = -1.622 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (analytic) = -0.2595861821780968 y[1] (numeric) = -0.259586182178096 absolute error = 7.771561172376096e-16 relative error = 2.993826985384063e-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 = 0.174 Order of pole (three term test) = -1.707 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (analytic) = -0.2734748237257542 y[1] (numeric) = -0.2734748237257534 absolute error = 8.326672684688674e-16 relative error = 3.044767547976855e-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 = 0.1829 Order of pole (three term test) = -1.797 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (analytic) = -0.2873361180189339 y[1] (numeric) = -0.2873361180189332 absolute error = 7.771561172376096e-16 relative error = 2.704693453074351e-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 = 0.1918 Order of pole (three term test) = -1.891 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (analytic) = -0.3011686789397577 y[1] (numeric) = -0.301168678939757 absolute error = 6.661338147750939e-16 relative error = 2.211829653469177e-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 = 0.2006 Order of pole (three term test) = -1.989 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010000000000001 y[1] (analytic) = -0.3149711232436606 y[1] (numeric) = -0.3149711232436599 absolute error = 6.661338147750939e-16 relative error = 2.114904401124337e-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 = 0.2094 Order of pole (three term test) = -2.092 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020000000000001 y[1] (analytic) = -0.3287420706977143 y[1] (numeric) = -0.3287420706977136 absolute error = 7.771561172376096e-16 relative error = 2.364029999531828e-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 = 0.218 Order of pole (three term test) = -2.199 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030000000000001 y[1] (analytic) = -0.342480144218649 y[1] (numeric) = -0.3424801442186482 absolute error = 7.771561172376096e-16 relative error = 2.269200507990475e-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 = 0.2266 Order of pole (three term test) = -2.311 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040000000000001 y[1] (analytic) = -0.356183970010561 y[1] (numeric) = -0.3561839700105602 absolute error = 8.326672684688674e-16 relative error = 2.337744925590499e-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 = 0.235 Order of pole (three term test) = -2.426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050000000000001 y[1] (analytic) = -0.3698521777022909 y[1] (numeric) = -0.3698521777022901 absolute error = 8.326672684688674e-16 relative error = 2.251351536286249e-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 = 0.2434 Order of pole (three term test) = -2.546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060000000000001 y[1] (analytic) = -0.3834834004844597 y[1] (numeric) = -0.3834834004844588 absolute error = 8.326672684688674e-16 relative error = 2.171325453505804e-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 = 0.2517 Order of pole (three term test) = -2.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070000000000001 y[1] (analytic) = -0.3970762752461485 y[1] (numeric) = -0.3970762752461476 absolute error = 8.326672684688674e-16 relative error = 2.096995767255788e-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 = 0.2598 Order of pole (three term test) = -2.799 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080000000000001 y[1] (analytic) = -0.4106294427112085 y[1] (numeric) = -0.4106294427112076 absolute error = 8.881784197001252e-16 relative error = 2.162968183274603e-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 = 0.2679 Order of pole (three term test) = -2.931 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090000000000001 y[1] (analytic) = -0.4241415475741874 y[1] (numeric) = -0.4241415475741865 absolute error = 8.881784197001252e-16 relative error = 2.094061345274769e-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 = 0.2759 Order of pole (three term test) = -3.067 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100000000000001 y[1] (analytic) = -0.437611238635859 y[1] (numeric) = -0.4376112386358581 absolute error = 8.881784197001252e-16 relative error = 2.029606055065665e-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 = 0.2837 Order of pole (three term test) = -3.208 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110000000000001 y[1] (analytic) = -0.4510371689383418 y[1] (numeric) = -0.4510371689383409 absolute error = 8.326672684688674e-16 relative error = 1.846116741174153e-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 = 0.2914 Order of pole (three term test) = -3.352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120000000000001 y[1] (analytic) = -0.4644179958997938 y[1] (numeric) = -0.464417995899793 absolute error = 8.326672684688674e-16 relative error = 1.792926363362822e-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 = 0.2991 Order of pole (three term test) = -3.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130000000000001 y[1] (analytic) = -0.4777523814486696 y[1] (numeric) = -0.4777523814486688 absolute error = 8.326672684688674e-16 relative error = 1.742884600478607e-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 = 0.3066 Order of pole (three term test) = -3.652 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140000000000001 y[1] (analytic) = -0.4910389921575262 y[1] (numeric) = -0.4910389921575253 absolute error = 8.881784197001252e-16 relative error = 1.808773710205067e-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 = 0.3139 Order of pole (three term test) = -3.807 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150000000000001 y[1] (analytic) = -0.5042764993763649 y[1] (numeric) = -0.504276499376364 absolute error = 8.881784197001252e-16 relative error = 1.761292506786513e-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 = 0.3212 Order of pole (three term test) = -3.966 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160000000000001 y[1] (analytic) = -0.5174635793654948 y[1] (numeric) = -0.5174635793654939 absolute error = 8.881784197001252e-16 relative error = 1.716407598751577e-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 = 0.3283 Order of pole (three term test) = -4.129 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170000000000001 y[1] (analytic) = -0.5305989134279065 y[1] (numeric) = -0.5305989134279055 absolute error = 9.992007221626409e-16 relative error = 1.883156367033164e-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 = 0.3353 Order of pole (three term test) = -4.296 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180000000000001 y[1] (analytic) = -0.5436811880411396 y[1] (numeric) = -0.5436811880411387 absolute error = 8.881784197001252e-16 relative error = 1.633638314579532e-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 = 0.3422 Order of pole (three term test) = -4.465 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190000000000001 y[1] (analytic) = -0.5567090949886349 y[1] (numeric) = -0.556709094988634 absolute error = 8.881784197001252e-16 relative error = 1.59540849555953e-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 = 0.3489 Order of pole (three term test) = -4.639 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200000000000001 y[1] (analytic) = -0.5696813314905539 y[1] (numeric) = -0.569681331490553 absolute error = 8.881784197001252e-16 relative error = 1.559079384567919e-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 = 0.3554 Order of pole (three term test) = -4.815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210000000000001 y[1] (analytic) = -0.5825966003340567 y[1] (numeric) = -0.5825966003340558 absolute error = 8.881784197001252e-16 relative error = 1.524516997165535e-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 = 0.3619 Order of pole (three term test) = -4.995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220000000000001 y[1] (analytic) = -0.5954536100030217 y[1] (numeric) = -0.5954536100030208 absolute error = 8.881784197001252e-16 relative error = 1.491599689345435e-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 = 0.3682 Order of pole (three term test) = -5.178 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230000000000001 y[1] (analytic) = -0.608251074807196 y[1] (numeric) = -0.6082510748071951 absolute error = 8.881784197001252e-16 relative error = 1.460216769829237e-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 = 0.3743 Order of pole (three term test) = -5.364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240000000000001 y[1] (analytic) = -0.6209877150107639 y[1] (numeric) = -0.6209877150107629 absolute error = 9.992007221626409e-16 relative error = 1.60905070746097e-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 = 0.3803 Order of pole (three term test) = -5.553 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250000000000001 y[1] (analytic) = -0.6336622569603186 y[1] (numeric) = -0.6336622569603176 absolute error = 9.992007221626409e-16 relative error = 1.576866400337322e-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 = 0.3862 Order of pole (three term test) = -5.745 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260000000000001 y[1] (analytic) = -0.6462734332122276 y[1] (numeric) = -0.6462734332122265 absolute error = 1.110223024625157e-15 relative error = 1.717884362207063e-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 = 0.3918 Order of pole (three term test) = -5.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270000000000001 y[1] (analytic) = -0.6588199826593747 y[1] (numeric) = -0.6588199826593736 absolute error = 1.110223024625157e-15 relative error = 1.685169020137581e-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 = 0.3974 Order of pole (three term test) = -6.138 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280000000000001 y[1] (analytic) = -0.6713006506572706 y[1] (numeric) = -0.6713006506572695 absolute error = 1.110223024625157e-15 relative error = 1.65383874354678e-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 = 0.4027 Order of pole (three term test) = -6.339 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290000000000001 y[1] (analytic) = -0.6837141891495162 y[1] (numeric) = -0.6837141891495151 absolute error = 1.110223024625157e-15 relative error = 1.623811590053707e-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 = 0.408 Order of pole (three term test) = -6.542 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300000000000001 y[1] (analytic) = -0.6960593567926067 y[1] (numeric) = -0.6960593567926057 absolute error = 9.992007221626409e-16 relative error = 1.435510797192482e-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 = 0.413 Order of pole (three term test) = -6.748 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310000000000001 y[1] (analytic) = -0.7083349190800655 y[1] (numeric) = -0.7083349190800645 absolute error = 9.992007221626409e-16 relative error = 1.41063315565514e-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 = 0.4179 Order of pole (three term test) = -6.956 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320000000000001 y[1] (analytic) = -0.7205396484658935 y[1] (numeric) = -0.7205396484658925 absolute error = 9.992007221626409e-16 relative error = 1.386739403293139e-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 = 0.4226 Order of pole (three term test) = -7.167 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330000000000001 y[1] (analytic) = -0.7326723244873226 y[1] (numeric) = -0.7326723244873216 absolute error = 9.992007221626409e-16 relative error = 1.363775713599961e-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 = 0.4271 Order of pole (three term test) = -7.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340000000000001 y[1] (analytic) = -0.7447317338868611 y[1] (numeric) = -0.7447317338868601 absolute error = 9.992007221626409e-16 relative error = 1.341692151276635e-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 = 0.4315 Order of pole (three term test) = -7.595 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350000000000001 y[1] (analytic) = -0.7567166707336187 y[1] (numeric) = -0.7567166707336177 absolute error = 9.992007221626409e-16 relative error = 1.32044232776574e-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 = 0.4357 Order of pole (three term test) = -7.812 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360000000000001 y[1] (analytic) = -0.768625936543898 y[1] (numeric) = -0.768625936543897 absolute error = 9.992007221626409e-16 relative error = 1.299983092758377e-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 = 0.4397 Order of pole (three term test) = -8.032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370000000000001 y[1] (analytic) = -0.7804583404010424 y[1] (numeric) = -0.7804583404010415 absolute error = 9.992007221626409e-16 relative error = 1.280274257366763e-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 = 0.4436 Order of pole (three term test) = -8.253 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380000000000001 y[1] (analytic) = -0.7922126990745265 y[1] (numeric) = -0.7922126990745255 absolute error = 9.992007221626409e-16 relative error = 1.261278345234708e-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 = 0.4473 Order of pole (three term test) = -8.476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390000000000001 y[1] (analytic) = -0.8038878371382783 y[1] (numeric) = -0.8038878371382772 absolute error = 1.110223024625157e-15 relative error = 1.38106707594605e-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 = 0.4508 Order of pole (three term test) = -8.702 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400000000000001 y[1] (analytic) = -0.8154825870882204 y[1] (numeric) = -0.8154825870882193 absolute error = 1.110223024625157e-15 relative error = 1.361430694172567e-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 = 0.4541 Order of pole (three term test) = -8.928 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410000000000001 y[1] (analytic) = -0.8269957894590203 y[1] (numeric) = -0.8269957894590192 absolute error = 1.110223024625157e-15 relative error = 1.342477239637954e-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 = 0.4572 Order of pole (three term test) = -9.157 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420000000000001 y[1] (analytic) = -0.8384262929400352 y[1] (numeric) = -0.838426292940034 absolute error = 1.221245327087672e-15 relative error = 1.456592353282767e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.99 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4602 Order of pole (three term test) = -9.387 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430000000000001 y[1] (analytic) = -0.8497729544904423 y[1] (numeric) = -0.8497729544904411 absolute error = 1.221245327087672e-15 relative error = 1.437143087026086e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.28 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4629 Order of pole (three term test) = -9.618 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440000000000001 y[1] (analytic) = -0.8610346394535422 y[1] (numeric) = -0.861034639453541 absolute error = 1.221245327087672e-15 relative error = 1.418346337219068e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.58 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4655 Order of pole (three term test) = -9.851 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450000000000001 y[1] (analytic) = -0.8722102216702231 y[1] (numeric) = -0.8722102216702219 absolute error = 1.221245327087672e-15 relative error = 1.400173142604395e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.89 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4679 Order of pole (three term test) = -10.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460000000000001 y[1] (analytic) = -0.8832985835915765 y[1] (numeric) = -0.8832985835915752 absolute error = 1.332267629550188e-15 relative error = 1.508286840145334e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.2 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4701 Order of pole (three term test) = -10.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470000000000001 y[1] (analytic) = -0.8942986163906503 y[1] (numeric) = -0.8942986163906491 absolute error = 1.221245327087672e-15 relative error = 1.365590088930881e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.51 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4721 Order of pole (three term test) = -10.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480000000000001 y[1] (analytic) = -0.9052092200733316 y[1] (numeric) = -0.9052092200733303 absolute error = 1.332267629550188e-15 relative error = 1.47177867835047e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.83 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4739 Order of pole (three term test) = -10.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490000000000001 y[1] (analytic) = -0.916029303588344 y[1] (numeric) = -0.9160293035883427 absolute error = 1.332267629550188e-15 relative error = 1.454394116357764e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.15 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4756 Order of pole (three term test) = -11.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500000000000001 y[1] (analytic) = -0.9267577849363527 y[1] (numeric) = -0.9267577849363514 absolute error = 1.332267629550188e-15 relative error = 1.437557527117708e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.48 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.477 Order of pole (three term test) = -11.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510000000000001 y[1] (analytic) = -0.9373935912781634 y[1] (numeric) = -0.9373935912781621 absolute error = 1.221245327087672e-15 relative error = 1.302809554546313e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.82 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4783 Order of pole (three term test) = -11.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520000000000001 y[1] (analytic) = -0.9479356590420049 y[1] (numeric) = -0.9479356590420037 absolute error = 1.221245327087672e-15 relative error = 1.288320906001022e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.16 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4794 Order of pole (three term test) = -11.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530000000000001 y[1] (analytic) = -0.9583829340298862 y[1] (numeric) = -0.9583829340298848 absolute error = 1.332267629550188e-15 relative error = 1.390120360290809e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.51 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4802 Order of pole (three term test) = -11.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540000000000001 y[1] (analytic) = -0.9687343715230141 y[1] (numeric) = -0.9687343715230128 absolute error = 1.332267629550188e-15 relative error = 1.375266191345764e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.86 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4809 Order of pole (three term test) = -12.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550000000000001 y[1] (analytic) = -0.9789889363862657 y[1] (numeric) = -0.9789889363862644 absolute error = 1.332267629550188e-15 relative error = 1.360860761581205e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.23 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4814 Order of pole (three term test) = -12.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560000000000001 y[1] (analytic) = -0.9891456031717 y[1] (numeric) = -0.9891456031716988 absolute error = 1.221245327087672e-15 relative error = 1.234646672008391e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.59 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4817 Order of pole (three term test) = -12.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570000000000001 y[1] (analytic) = -0.9992033562211025 y[1] (numeric) = -0.9992033562211012 absolute error = 1.221245327087672e-15 relative error = 1.222219000250672e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.97 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4818 Order of pole (three term test) = -12.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580000000000001 y[1] (analytic) = -1.009161189767549 y[1] (numeric) = -1.009161189767548 absolute error = 1.110223024625157e-15 relative error = 1.10014439306855e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19.35 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4817 Order of pole (three term test) = -13.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590000000000001 y[1] (analytic) = -1.019018108035985 y[1] (numeric) = -1.019018108035983 absolute error = 1.110223024625157e-15 relative error = 1.089502743739222e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19.25 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4814 Order of pole (three term test) = -13.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600000000000001 y[1] (analytic) = -1.028773125342795 y[1] (numeric) = -1.028773125342794 absolute error = 1.110223024625157e-15 relative error = 1.079171876943444e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.86 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.481 Order of pole (three term test) = -13.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610000000000001 y[1] (analytic) = -1.038425266194379 y[1] (numeric) = -1.038425266194378 absolute error = 1.332267629550188e-15 relative error = 1.282969196649733e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.49 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4803 Order of pole (three term test) = -13.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620000000000001 y[1] (analytic) = -1.047973565384696 y[1] (numeric) = -1.047973565384694 absolute error = 1.110223024625157e-15 relative error = 1.059399837263653e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.12 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4794 Order of pole (three term test) = -14.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630000000000001 y[1] (analytic) = -1.057417068091782 y[1] (numeric) = -1.057417068091781 absolute error = 1.110223024625157e-15 relative error = 1.049938626987238e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.76 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4784 Order of pole (three term test) = -14.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640000000000001 y[1] (analytic) = -1.066754829973237 y[1] (numeric) = -1.066754829973236 absolute error = 1.110223024625157e-15 relative error = 1.040748064532326e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.41 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4772 Order of pole (three term test) = -14.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650000000000001 y[1] (analytic) = -1.075985917260654 y[1] (numeric) = -1.075985917260653 absolute error = 1.110223024625157e-15 relative error = 1.031819289467716e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.06 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4757 Order of pole (three term test) = -14.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660000000000001 y[1] (analytic) = -1.085109406852997 y[1] (numeric) = -1.085109406852996 absolute error = 1.332267629550188e-15 relative error = 1.227772629318542e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4741 Order of pole (three term test) = -15.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670000000000001 y[1] (analytic) = -1.094124386408909 y[1] (numeric) = -1.094124386408908 absolute error = 1.332267629550188e-15 relative error = 1.217656462189736e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.38 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4723 Order of pole (three term test) = -15.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680000000000001 y[1] (analytic) = -1.103029954437948 y[1] (numeric) = -1.103029954437947 absolute error = 1.332267629550188e-15 relative error = 1.207825430478947e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.05 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4703 Order of pole (three term test) = -15.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690000000000001 y[1] (analytic) = -1.111825220390732 y[1] (numeric) = -1.111825220390731 absolute error = 1.332267629550188e-15 relative error = 1.198270739965752e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.72 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4681 Order of pole (three term test) = -15.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = -1.120509304747994 y[1] (numeric) = -1.120509304747993 absolute error = 1.332267629550188e-15 relative error = 1.188983994960951e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.4 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4657 Order of pole (three term test) = -16.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710000000000001 y[1] (analytic) = -1.129081339108537 y[1] (numeric) = -1.129081339108535 absolute error = 1.332267629550188e-15 relative error = 1.17995717704632e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.08 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4632 Order of pole (three term test) = -16.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720000000000001 y[1] (analytic) = -1.137540466276066 y[1] (numeric) = -1.137540466276065 absolute error = 1.332267629550188e-15 relative error = 1.171182625187475e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4604 Order of pole (three term test) = -16.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730000000000001 y[1] (analytic) = -1.145885840344915 y[1] (numeric) = -1.145885840344914 absolute error = 1.332267629550188e-15 relative error = 1.162653017118329e-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 = 0.4575 Order of pole (three term test) = -16.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740000000000001 y[1] (analytic) = -1.154116626784632 y[1] (numeric) = -1.15411662678463 absolute error = 1.554312234475219e-15 relative error = 1.346754910554865e-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 = 0.4544 Order of pole (three term test) = -16.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750000000000001 y[1] (analytic) = -1.16223200252343 y[1] (numeric) = -1.162232002523429 absolute error = 1.554312234475219e-15 relative error = 1.337351089197774e-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 = 0.4511 Order of pole (three term test) = -17.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760000000000001 y[1] (analytic) = -1.1702311560305 y[1] (numeric) = -1.170231156030498 absolute error = 1.554312234475219e-15 relative error = 1.328209581897945e-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 = 0.4476 Order of pole (three term test) = -17.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770000000000001 y[1] (analytic) = -1.178113287397156 y[1] (numeric) = -1.178113287397154 absolute error = 1.554312234475219e-15 relative error = 1.319323235806305e-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 = 0.444 Order of pole (three term test) = -17.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780000000000001 y[1] (analytic) = -1.185877608416829 y[1] (numeric) = -1.185877608416828 absolute error = 1.332267629550188e-15 relative error = 1.123444460114895e-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 = 0.4401 Order of pole (three term test) = -17.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790000000000001 y[1] (analytic) = -1.19352334266389 y[1] (numeric) = -1.193523342663888 absolute error = 1.332267629550188e-15 relative error = 1.116247652581831e-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 = 0.4361 Order of pole (three term test) = -18.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = -1.201049725571283 y[1] (numeric) = -1.201049725571282 absolute error = 1.332267629550188e-15 relative error = 1.109252682203886e-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 = 0.4319 Order of pole (three term test) = -18.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810000000000001 y[1] (analytic) = -1.208456004506991 y[1] (numeric) = -1.20845600450699 absolute error = 1.332267629550188e-15 relative error = 1.102454391869821e-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 = 0.4276 Order of pole (three term test) = -18.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820000000000001 y[1] (analytic) = -1.215741438849291 y[1] (numeric) = -1.21574143884929 absolute error = 1.332267629550188e-15 relative error = 1.095847839826196e-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 = 0.4231 Order of pole (three term test) = -18.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830000000000001 y[1] (analytic) = -1.222905300060821 y[1] (numeric) = -1.22290530006082 absolute error = 1.332267629550188e-15 relative error = 1.089428289732596e-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 = 0.4184 Order of pole (three term test) = -18.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840000000000001 y[1] (analytic) = -1.229946871761429 y[1] (numeric) = -1.229946871761428 absolute error = 1.332267629550188e-15 relative error = 1.083191201293291e-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 = 0.4135 Order of pole (three term test) = -19.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850000000000001 y[1] (analytic) = -1.236865449799814 y[1] (numeric) = -1.236865449799812 absolute error = 1.332267629550188e-15 relative error = 1.077132221427816e-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 = 0.4085 Order of pole (three term test) = -19.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860000000000001 y[1] (analytic) = -1.243660342323936 y[1] (numeric) = -1.243660342323935 absolute error = 1.332267629550188e-15 relative error = 1.071247175945707e-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 = 0.4033 Order of pole (three term test) = -19.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870000000000001 y[1] (analytic) = -1.250330869850206 y[1] (numeric) = -1.250330869850204 absolute error = 1.332267629550188e-15 relative error = 1.065532061693237e-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 = 0.3979 Order of pole (three term test) = -19.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880000000000001 y[1] (analytic) = -1.25687636533143 y[1] (numeric) = -1.256876365331428 absolute error = 1.332267629550188e-15 relative error = 1.059983039142341e-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 = 0.3924 Order of pole (three term test) = -19.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890000000000001 y[1] (analytic) = -1.263296174223514 y[1] (numeric) = -1.263296174223512 absolute error = 1.332267629550188e-15 relative error = 1.054596425394122e-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 = 0.3868 Order of pole (three term test) = -20.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = -1.269589654550919 y[1] (numeric) = -1.269589654550918 absolute error = 1.332267629550188e-15 relative error = 1.049368687571292e-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 = 0.3809 Order of pole (three term test) = -20.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910000000000001 y[1] (analytic) = -1.275756176970857 y[1] (numeric) = -1.275756176970855 absolute error = 1.332267629550188e-15 relative error = 1.044296436575766e-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 = 0.375 Order of pole (three term test) = -20.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920000000000001 y[1] (analytic) = -1.281795124836224 y[1] (numeric) = -1.281795124836223 absolute error = 1.332267629550188e-15 relative error = 1.039376421189317e-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 = 0.3688 Order of pole (three term test) = -20.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930000000000001 y[1] (analytic) = -1.287705894257267 y[1] (numeric) = -1.287705894257265 absolute error = 1.332267629550188e-15 relative error = 1.034605522496753e-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 = 0.3626 Order of pole (three term test) = -20.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940000000000002 y[1] (analytic) = -1.293487894161969 y[1] (numeric) = -1.293487894161967 absolute error = 1.332267629550188e-15 relative error = 1.029980748612529e-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 = 0.3562 Order of pole (three term test) = -21.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950000000000002 y[1] (analytic) = -1.299140546355157 y[1] (numeric) = -1.299140546355156 absolute error = 1.332267629550188e-15 relative error = 1.025499229693024e-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 = 0.3496 Order of pole (three term test) = -21.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960000000000002 y[1] (analytic) = -1.304663285576324 y[1] (numeric) = -1.304663285576322 absolute error = 1.332267629550188e-15 relative error = 1.021158213217957e-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 = 0.3429 Order of pole (three term test) = -21.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970000000000002 y[1] (analytic) = -1.310055559556148 y[1] (numeric) = -1.310055559556147 absolute error = 1.332267629550188e-15 relative error = 1.01695505952554e-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 = 0.3361 Order of pole (three term test) = -21.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980000000000002 y[1] (analytic) = -1.315316829071727 y[1] (numeric) = -1.315316829071725 absolute error = 1.332267629550188e-15 relative error = 1.012887237587026e-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 = 0.3291 Order of pole (three term test) = -21.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990000000000002 y[1] (analytic) = -1.320446568000492 y[1] (numeric) = -1.32044656800049 absolute error = 1.332267629550188e-15 relative error = 1.008952321007276e-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 = 0.322 Order of pole (three term test) = -21.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000000000000001 y[1] (analytic) = -1.325444263372825 y[1] (numeric) = -1.325444263372824 absolute error = 1.110223024625157e-15 relative error = 8.376233201990704e-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 = 0.3148 Order of pole (three term test) = -22.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010000000000001 y[1] (analytic) = -1.330309415423354 y[1] (numeric) = -1.330309415423353 absolute error = 1.110223024625157e-15 relative error = 8.345599991651884e-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 = 0.3074 Order of pole (three term test) = -22.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020000000000001 y[1] (analytic) = -1.335041537640928 y[1] (numeric) = -1.335041537640927 absolute error = 8.881784197001252e-16 relative error = 6.652814872483833e-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 = 0.2999 Order of pole (three term test) = -22.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030000000000001 y[1] (analytic) = -1.339640156817269 y[1] (numeric) = -1.339640156817268 absolute error = 8.881784197001252e-16 relative error = 6.629977574054427e-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 = 0.2923 Order of pole (three term test) = -22.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = -1.344104813094292 y[1] (numeric) = -1.344104813094291 absolute error = 8.881784197001252e-16 relative error = 6.607955057131527e-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 = 0.2846 Order of pole (three term test) = -22.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = -1.348435060010089 y[1] (numeric) = -1.348435060010088 absolute error = 8.881784197001252e-16 relative error = 6.586734845751342e-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 = 0.2768 Order of pole (three term test) = -22.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = -1.352630464543576 y[1] (numeric) = -1.352630464543576 absolute error = 6.661338147750939e-16 relative error = 4.924728758049008e-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 = 0.2689 Order of pole (three term test) = -22.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = -1.356690607157798 y[1] (numeric) = -1.356690607157797 absolute error = 6.661338147750939e-16 relative error = 4.909990614371632e-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 = 0.2608 Order of pole (three term test) = -23.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = -1.360615081841876 y[1] (numeric) = -1.360615081841875 absolute error = 4.440892098500626e-16 relative error = 3.263885692409756e-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 = 0.2527 Order of pole (three term test) = -23.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999999 y[1] (analytic) = -1.364403496151611 y[1] (numeric) = -1.364403496151611 absolute error = 4.440892098500626e-16 relative error = 3.254823159737167e-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 = 0.2444 Order of pole (three term test) = -23.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.099999999999999 y[1] (analytic) = -1.368055471248731 y[1] (numeric) = -1.368055471248731 absolute error = 2.220446049250313e-16 relative error = 1.623067262925778e-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 = 0.2361 Order of pole (three term test) = -23.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999999 y[1] (analytic) = -1.371570641938768 y[1] (numeric) = -1.371570641938768 absolute error = 2.220446049250313e-16 relative error = 1.618907536626496e-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 = 0.2276 Order of pole (three term test) = -23.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999999 y[1] (analytic) = -1.374948656707583 y[1] (numeric) = -1.374948656707583 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2191 Order of pole (three term test) = -23.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999999 y[1] (analytic) = -1.378189177756514 y[1] (numeric) = -1.378189177756514 absolute error = 2.220446049250313e-16 relative error = 1.611132988915837e-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 = 0.2105 Order of pole (three term test) = -23.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999998 y[1] (analytic) = -1.381291881036157 y[1] (numeric) = -1.381291881036157 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2018 Order of pole (three term test) = -23.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999998 y[1] (analytic) = -1.384256456278768 y[1] (numeric) = -1.384256456278768 absolute error = 2.220446049250313e-16 relative error = 1.604071297033668e-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 = 0.193 Order of pole (three term test) = -24.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999998 y[1] (analytic) = -1.387082607029295 y[1] (numeric) = -1.387082607029295 absolute error = 2.220446049250313e-16 relative error = 1.600803036529905e-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 = 0.1841 Order of pole (three term test) = -24.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999998 y[1] (analytic) = -1.389770050675017 y[1] (numeric) = -1.389770050675018 absolute error = 4.440892098500626e-16 relative error = 3.19541502304188e-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 = 0.1752 Order of pole (three term test) = -24.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179999999999997 y[1] (analytic) = -1.39231851847381 y[1] (numeric) = -1.392318518473811 absolute error = 4.440892098500626e-16 relative error = 3.189566208864699e-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 = 0.1662 Order of pole (three term test) = -24.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999997 y[1] (analytic) = -1.394727755581017 y[1] (numeric) = -1.394727755581018 absolute error = 4.440892098500626e-16 relative error = 3.184056587911406e-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 = 0.1571 Order of pole (three term test) = -24.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999997 y[1] (analytic) = -1.396997521074935 y[1] (numeric) = -1.396997521074936 absolute error = 4.440892098500626e-16 relative error = 3.178883306166165e-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 = 0.148 Order of pole (three term test) = -24.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999997 y[1] (analytic) = -1.399127587980907 y[1] (numeric) = -1.399127587980907 absolute error = 4.440892098500626e-16 relative error = 3.174043694549199e-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 = 0.1388 Order of pole (three term test) = -24.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999997 y[1] (analytic) = -1.401117743294016 y[1] (numeric) = -1.401117743294016 absolute error = 4.440892098500626e-16 relative error = 3.169535265508898e-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 = 0.1295 Order of pole (three term test) = -24.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999996 y[1] (analytic) = -1.402967788000389 y[1] (numeric) = -1.40296778800039 absolute error = 6.661338147750939e-16 relative error = 4.748033564794212e-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 = 0.1202 Order of pole (three term test) = -24.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999996 y[1] (analytic) = -1.404677537097099 y[1] (numeric) = -1.4046775370971 absolute error = 6.661338147750939e-16 relative error = 4.742254340819911e-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 = 0.1109 Order of pole (three term test) = -24.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999996 y[1] (analytic) = -1.40624681961066 y[1] (numeric) = -1.40624681961066 absolute error = 6.661338147750939e-16 relative error = 4.73696228489621e-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 = 0.1015 Order of pole (three term test) = -24.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999996 y[1] (analytic) = -1.407675478614128 y[1] (numeric) = -1.407675478614129 absolute error = 6.661338147750939e-16 relative error = 4.732154711048246e-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 = 0.09206 Order of pole (three term test) = -24.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269999999999996 y[1] (analytic) = -1.408963371242794 y[1] (numeric) = -1.408963371242794 absolute error = 6.661338147750939e-16 relative error = 4.727829185421069e-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 = 0.08259 Order of pole (three term test) = -24.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279999999999995 y[1] (analytic) = -1.410110368708467 y[1] (numeric) = -1.410110368708468 absolute error = 8.881784197001252e-16 relative error = 6.298644697674381e-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 = 0.07309 Order of pole (three term test) = -24.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999995 y[1] (analytic) = -1.411116356312358 y[1] (numeric) = -1.411116356312359 absolute error = 6.661338147750939e-16 relative error = 4.720615786184266e-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 = 0.06356 Order of pole (three term test) = -24.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999995 y[1] (analytic) = -1.411981233456544 y[1] (numeric) = -1.411981233456545 absolute error = 6.661338147750939e-16 relative error = 4.717724279836155e-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 = 0.054 Order of pole (three term test) = -24.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999995 y[1] (analytic) = -1.412704913654032 y[1] (numeric) = -1.412704913654032 absolute error = 6.661338147750939e-16 relative error = 4.715307551752656e-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 = 0.04442 Order of pole (three term test) = -24.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999995 y[1] (analytic) = -1.413287324537404 y[1] (numeric) = -1.413287324537404 absolute error = 8.881784197001252e-16 relative error = 6.284485852803097e-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 = 0.03482 Order of pole (three term test) = -25.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999994 y[1] (analytic) = -1.413728407866058 y[1] (numeric) = -1.413728407866059 absolute error = 8.881784197001252e-16 relative error = 6.282525092926298e-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 = 0.02521 Order of pole (three term test) = -25.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999994 y[1] (analytic) = -1.414028119532028 y[1] (numeric) = -1.414028119532029 absolute error = 8.881784197001252e-16 relative error = 6.281193474384848e-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 = 0.01559 Order of pole (three term test) = -25.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999994 y[1] (analytic) = -1.414186429564398 y[1] (numeric) = -1.414186429564399 absolute error = 8.881784197001252e-16 relative error = 6.280490330922667e-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 = 0.005965 Order of pole (three term test) = -25.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999994 y[1] (analytic) = -1.414203322132297 y[1] (numeric) = -1.414203322132298 absolute error = 8.881784197001252e-16 relative error = 6.280415310868838e-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] = 2.369999999999993 y[1] (analytic) = -1.414078795546481 y[1] (numeric) = -1.414078795546482 absolute error = 8.881784197001252e-16 relative error = 6.280968376708331e-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] = 2.379999999999993 y[1] (analytic) = -1.413812862259505 y[1] (numeric) = -1.413812862259506 absolute error = 1.110223024625157e-15 relative error = 7.852687256295277e-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] = 2.389999999999993 y[1] (analytic) = -1.413405548864477 y[1] (numeric) = -1.413405548864478 absolute error = 1.110223024625157e-15 relative error = 7.854950233619105e-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] = 2.399999999999993 y[1] (analytic) = -1.412856896092397 y[1] (numeric) = -1.412856896092398 absolute error = 1.110223024625157e-15 relative error = 7.858000535622194e-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] = 2.409999999999993 y[1] (analytic) = -1.412166958808084 y[1] (numeric) = -1.412166958808085 absolute error = 1.110223024625157e-15 relative error = 7.86183969041608e-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] = 2.419999999999992 y[1] (analytic) = -1.411335806004692 y[1] (numeric) = -1.411335806004693 absolute error = 1.110223024625157e-15 relative error = 7.866469623328364e-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] = 2.429999999999992 y[1] (analytic) = -1.410363520796809 y[1] (numeric) = -1.41036352079681 absolute error = 8.881784197001252e-16 relative error = 6.297514127409743e-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] = 2.439999999999992 y[1] (analytic) = -1.409250200412146 y[1] (numeric) = -1.409250200412147 absolute error = 1.110223024625157e-15 relative error = 7.878111525550705e-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] = 2.449999999999992 y[1] (analytic) = -1.407995956181812 y[1] (numeric) = -1.407995956181813 absolute error = 8.881784197001252e-16 relative error = 6.308103484250604e-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] = 2.459999999999992 y[1] (analytic) = -1.406600913529186 y[1] (numeric) = -1.406600913529187 absolute error = 1.110223024625157e-15 relative error = 7.892949691320671e-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] = 2.469999999999991 y[1] (analytic) = -1.405065211957371 y[1] (numeric) = -1.405065211957372 absolute error = 8.881784197001252e-16 relative error = 6.321261192303093e-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] = 2.479999999999991 y[1] (analytic) = -1.403389005035244 y[1] (numeric) = -1.403389005035245 absolute error = 8.881784197001252e-16 relative error = 6.32881130259261e-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] = 2.489999999999991 y[1] (analytic) = -1.401572460382101 y[1] (numeric) = -1.401572460382102 absolute error = 8.881784197001252e-16 relative error = 6.337013924046335e-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] = 2.499999999999991 y[1] (analytic) = -1.399615759650892 y[1] (numeric) = -1.399615759650893 absolute error = 8.881784197001252e-16 relative error = 6.345873241107721e-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] = 2.50999999999999 y[1] (analytic) = -1.397519098510061 y[1] (numeric) = -1.397519098510062 absolute error = 6.661338147750939e-16 relative error = 4.766545340849224e-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] = 2.51999999999999 y[1] (analytic) = -1.395282686623974 y[1] (numeric) = -1.395282686623975 absolute error = 6.661338147750939e-16 relative error = 4.774185340082384e-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] = 2.52999999999999 y[1] (analytic) = -1.392906747631957 y[1] (numeric) = -1.392906747631957 absolute error = 4.440892098500626e-16 relative error = 3.188219244432886e-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] = 2.53999999999999 y[1] (analytic) = -1.390391519125928 y[1] (numeric) = -1.390391519125928 absolute error = 4.440892098500626e-16 relative error = 3.193986756544949e-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] = 2.54999999999999 y[1] (analytic) = -1.387737252626642 y[1] (numeric) = -1.387737252626642 absolute error = 4.440892098500626e-16 relative error = 3.200095760270988e-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] = 2.559999999999989 y[1] (analytic) = -1.384944213558537 y[1] (numeric) = -1.384944213558538 absolute error = 4.440892098500626e-16 relative error = 3.206549444392421e-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] = 2.569999999999989 y[1] (analytic) = -1.382012681223193 y[1] (numeric) = -1.382012681223193 absolute error = 2.220446049250313e-16 relative error = 1.606675596699329e-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] = 2.579999999999989 y[1] (analytic) = -1.3789429487714 y[1] (numeric) = -1.3789429487714 absolute error = 2.220446049250313e-16 relative error = 1.610252295955151e-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] = 2.589999999999989 y[1] (analytic) = -1.375735323173845 y[1] (numeric) = -1.375735323173846 absolute error = 2.220446049250313e-16 relative error = 1.614006714698366e-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] = 2.599999999999989 y[1] (analytic) = -1.372390125190415 y[1] (numeric) = -1.372390125190416 absolute error = 2.220446049250313e-16 relative error = 1.617940852599936e-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] = 2.609999999999988 y[1] (analytic) = -1.368907689338121 y[1] (numeric) = -1.368907689338121 absolute error = 0 relative error = 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] = 2.619999999999988 y[1] (analytic) = -1.365288363857645 y[1] (numeric) = -1.365288363857645 absolute error = 0 relative error = 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] = 2.629999999999988 y[1] (analytic) = -1.361532510678521 y[1] (numeric) = -1.361532510678521 absolute error = 0 relative error = 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] = 2.639999999999988 y[1] (analytic) = -1.357640505382935 y[1] (numeric) = -1.357640505382934 absolute error = 2.220446049250313e-16 relative error = 1.635518416286509e-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] = 2.649999999999987 y[1] (analytic) = -1.353612737168174 y[1] (numeric) = -1.353612737168173 absolute error = 4.440892098500626e-16 relative error = 3.280770028650289e-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] = 2.659999999999987 y[1] (analytic) = -1.349449608807703 y[1] (numeric) = -1.349449608807702 absolute error = 4.440892098500626e-16 relative error = 3.290891389730623e-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] = 2.669999999999987 y[1] (analytic) = -1.345151536610889 y[1] (numeric) = -1.345151536610888 absolute error = 6.661338147750939e-16 relative error = 4.95210983034238e-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] = 2.679999999999987 y[1] (analytic) = -1.340718950381369 y[1] (numeric) = -1.340718950381369 absolute error = 6.661338147750939e-16 relative error = 4.968482131065659e-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] = 2.689999999999987 y[1] (analytic) = -1.336152293374074 y[1] (numeric) = -1.336152293374073 absolute error = 6.661338147750939e-16 relative error = 4.985463244559959e-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] = 2.699999999999986 y[1] (analytic) = -1.331452022250898 y[1] (numeric) = -1.331452022250897 absolute error = 8.881784197001252e-16 relative error = 6.670750465334887e-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] = 2.709999999999986 y[1] (analytic) = -1.326618607035036 y[1] (numeric) = -1.326618607035035 absolute error = 8.881784197001252e-16 relative error = 6.695054742863776e-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] = 2.719999999999986 y[1] (analytic) = -1.321652531063982 y[1] (numeric) = -1.321652531063982 absolute error = 8.881784197001252e-16 relative error = 6.720211241793685e-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] = 2.729999999999986 y[1] (analytic) = -1.316554290941196 y[1] (numeric) = -1.316554290941195 absolute error = 1.110223024625157e-15 relative error = 8.432793332293689e-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] = 2.739999999999986 y[1] (analytic) = -1.311324396486441 y[1] (numeric) = -1.31132439648644 absolute error = 1.110223024625157e-15 relative error = 8.466425452007796e-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] = 2.749999999999985 y[1] (analytic) = -1.305963370684803 y[1] (numeric) = -1.305963370684802 absolute error = 1.110223024625157e-15 relative error = 8.501180427771057e-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] = 2.759999999999985 y[1] (analytic) = -1.300471749634396 y[1] (numeric) = -1.300471749634395 absolute error = 1.332267629550188e-15 relative error = 1.024449496826617e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999985 y[1] (analytic) = -1.294850082492749 y[1] (numeric) = -1.294850082492748 absolute error = 1.554312234475219e-15 relative error = 1.200380071400214e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999985 y[1] (analytic) = -1.289098931421891 y[1] (numeric) = -1.289098931421889 absolute error = 1.554312234475219e-15 relative error = 1.205735414550996e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999984 y[1] (analytic) = -1.283218871532136 y[1] (numeric) = -1.283218871532134 absolute error = 1.77635683940025e-15 relative error = 1.384297627480586e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999984 y[1] (analytic) = -1.277210490824572 y[1] (numeric) = -1.277210490824571 absolute error = 1.77635683940025e-15 relative error = 1.390809778154443e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999984 y[1] (analytic) = -1.271074390132266 y[1] (numeric) = -1.271074390132264 absolute error = 1.998401444325282e-15 relative error = 1.572214387953589e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.819999999999984 y[1] (analytic) = -1.264811183060171 y[1] (numeric) = -1.264811183060169 absolute error = 1.998401444325282e-15 relative error = 1.579999822179159e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999984 y[1] (analytic) = -1.258421495923776 y[1] (numeric) = -1.258421495923774 absolute error = 2.220446049250313e-15 relative error = 1.764469262836566e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999983 y[1] (analytic) = -1.25190596768647 y[1] (numeric) = -1.251905967686467 absolute error = 2.442490654175344e-15 relative error = 1.951017662044605e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999983 y[1] (analytic) = -1.245265249895646 y[1] (numeric) = -1.245265249895644 absolute error = 2.442490654175344e-15 relative error = 1.961421997747088e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859999999999983 y[1] (analytic) = -1.238500006617551 y[1] (numeric) = -1.238500006617548 absolute error = 2.664535259100376e-15 relative error = 2.15142127158921e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999983 y[1] (analytic) = -1.231610914370873 y[1] (numeric) = -1.23161091437087 absolute error = 2.664535259100376e-15 relative error = 2.16345538027443e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999983 y[1] (analytic) = -1.224598662059098 y[1] (numeric) = -1.224598662059095 absolute error = 2.886579864025407e-15 relative error = 2.357163986421295e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999982 y[1] (analytic) = -1.217463950901612 y[1] (numeric) = -1.217463950901609 absolute error = 3.108624468950438e-15 relative error = 2.553360587513328e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999982 y[1] (analytic) = -1.210207494363586 y[1] (numeric) = -1.210207494363583 absolute error = 3.108624468950438e-15 relative error = 2.568670648156229e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999982 y[1] (analytic) = -1.202830018084626 y[1] (numeric) = -1.202830018084623 absolute error = 3.33066907387547e-15 relative error = 2.769027230613343e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919999999999982 y[1] (analytic) = -1.195332259806213 y[1] (numeric) = -1.19533225980621 absolute error = 3.552713678800501e-15 relative error = 2.97215577481065e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999982 y[1] (analytic) = -1.187714969297927 y[1] (numeric) = -1.187714969297923 absolute error = 3.774758283725532e-15 relative error = 3.178168484276021e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999981 y[1] (analytic) = -1.179978908282469 y[1] (numeric) = -1.179978908282465 absolute error = 4.218847493575595e-15 relative error = 3.575358393241437e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999981 y[1] (analytic) = -1.172124850359496 y[1] (numeric) = -1.172124850359492 absolute error = 4.440892098500626e-15 relative error = 3.78875347377763e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999999999981 y[1] (analytic) = -1.164153580928255 y[1] (numeric) = -1.16415358092825 absolute error = 4.440892098500626e-15 relative error = 3.814696077264666e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999981 y[1] (analytic) = -1.156065897109045 y[1] (numeric) = -1.15606589710904 absolute error = 4.662936703425657e-15 relative error = 4.033452344789503e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.97999999999998 y[1] (analytic) = -1.147862607663509 y[1] (numeric) = -1.147862607663505 absolute error = 4.884981308350689e-15 relative error = 4.255719522299047e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98999999999998 y[1] (analytic) = -1.139544532913757 y[1] (numeric) = -1.139544532913751 absolute error = 5.10702591327572e-15 relative error = 4.481637852464895e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.7 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99999999999998 y[1] (analytic) = -1.13111250466033 y[1] (numeric) = -1.131112504660324 absolute error = 5.329070518200751e-15 relative error = 4.711353199831399e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.01 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] = 3.00999999999998 y[1] (analytic) = -1.122567366099027 y[1] (numeric) = -1.122567366099022 absolute error = 5.329070518200751e-15 relative error = 4.747216674148933e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.32 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] = 3.01999999999998 y[1] (analytic) = -1.113909971736585 y[1] (numeric) = -1.113909971736579 absolute error = 5.773159728050814e-15 relative error = 5.182788442992806e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.64 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] = 3.029999999999979 y[1] (analytic) = -1.105141187305223 y[1] (numeric) = -1.105141187305218 absolute error = 5.773159728050814e-15 relative error = 5.223911473363949e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.97 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] = 3.039999999999979 y[1] (analytic) = -1.09626188967608 y[1] (numeric) = -1.096261889676074 absolute error = 6.217248937900877e-15 relative error = 5.671317224881301e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.3 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] = 3.049999999999979 y[1] (analytic) = -1.087272966771517 y[1] (numeric) = -1.087272966771511 absolute error = 6.439293542825908e-15 relative error = 5.922425866934186e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.64 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] = 3.059999999999979 y[1] (analytic) = -1.078175317476335 y[1] (numeric) = -1.078175317476329 absolute error = 6.439293542825908e-15 relative error = 5.972399329172404e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.98 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] = 3.069999999999979 y[1] (analytic) = -1.068969851547882 y[1] (numeric) = -1.068969851547875 absolute error = 6.661338147750939e-15 relative error = 6.231549129383993e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.32 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] = 3.079999999999978 y[1] (analytic) = -1.059657489525079 y[1] (numeric) = -1.059657489525072 absolute error = 7.105427357601002e-15 relative error = 6.705400025800352e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.68 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] = 3.089999999999978 y[1] (analytic) = -1.050239162636369 y[1] (numeric) = -1.050239162636362 absolute error = 7.105427357601002e-15 relative error = 6.765532661879189e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.04 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] = 3.099999999999978 y[1] (analytic) = -1.040715812706591 y[1] (numeric) = -1.040715812706584 absolute error = 7.327471962526033e-15 relative error = 7.040800065744621e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.4 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] = 3.109999999999978 y[1] (analytic) = -1.031088392062803 y[1] (numeric) = -1.031088392062796 absolute error = 7.549516567451064e-15 relative error = 7.321890756957746e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.77 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] = 3.119999999999977 y[1] (analytic) = -1.021357863439047 y[1] (numeric) = -1.021357863439039 absolute error = 7.771561172376096e-15 relative error = 7.609048160855418e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19.15 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] = 3.129999999999977 y[1] (analytic) = -1.011525199880074 y[1] (numeric) = -1.011525199880067 absolute error = 7.993605777301127e-15 relative error = 7.902527567527573e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19.45 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] = 3.139999999999977 y[1] (analytic) = -1.001591384644049 y[1] (numeric) = -1.001591384644041 absolute error = 8.215650382226158e-15 relative error = 8.202596895485356e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19.06 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] = 3.149999999999977 y[1] (analytic) = -0.9915574111042167 y[1] (numeric) = -0.9915574111042081 absolute error = 8.548717289613705e-15 relative error = 8.621505112945196e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.68 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] = 3.159999999999977 y[1] (analytic) = -0.9814242826495685 y[1] (numeric) = -0.9814242826495598 absolute error = 8.659739592076221e-15 relative error = 8.823645130011833e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.31 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] = 3.169999999999976 y[1] (analytic) = -0.9711930125845062 y[1] (numeric) = -0.9711930125844974 absolute error = 8.770761894538737e-15 relative error = 9.030915359654699e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.95 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] = 3.179999999999976 y[1] (analytic) = -0.9608646240275104 y[1] (numeric) = -0.9608646240275013 absolute error = 9.103828801926284e-15 relative error = 9.474621683715595e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.59 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] = 3.189999999999976 y[1] (analytic) = -0.9504401498088296 y[1] (numeric) = -0.9504401498088203 absolute error = 9.325873406851315e-15 relative error = 9.812162721373997e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.24 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] = 3.199999999999976 y[1] (analytic) = -0.9399206323671987 y[1] (numeric) = -0.9399206323671893 absolute error = 9.436895709313831e-15 relative error = 1.004009847676917e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.9 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] = 3.209999999999976 y[1] (analytic) = -0.9293071236455959 y[1] (numeric) = -0.9293071236455861 absolute error = 9.769962616701378e-15 relative error = 1.051316875563658e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.56 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] = 3.219999999999975 y[1] (analytic) = -0.9186006849860484 y[1] (numeric) = -0.9186006849860384 absolute error = 9.992007221626409e-15 relative error = 1.087742191459194e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.23 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] = 3.229999999999975 y[1] (analytic) = -0.9078023870235002 y[1] (numeric) = -0.9078023870234901 absolute error = 1.010302952408892e-14 relative error = 1.112910658586689e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.91 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] = 3.239999999999975 y[1] (analytic) = -0.8969133095787493 y[1] (numeric) = -0.8969133095787389 absolute error = 1.032507412901396e-14 relative error = 1.151178605417652e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.59 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] = 3.249999999999975 y[1] (analytic) = -0.8859345415504657 y[1] (numeric) = -0.8859345415504551 absolute error = 1.054711873393899e-14 relative error = 1.190507677404763e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.27 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] = 3.259999999999974 y[1] (analytic) = -0.8748671808063034 y[1] (numeric) = -0.8748671808062927 absolute error = 1.076916333886402e-14 relative error = 1.230948374236514e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.96 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] = 3.269999999999974 y[1] (analytic) = -0.8637123340731141 y[1] (numeric) = -0.8637123340731031 absolute error = 1.099120794378905e-14 relative error = 1.272554241752745e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.65 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] = 3.279999999999974 y[1] (analytic) = -0.8524711168262754 y[1] (numeric) = -0.8524711168262641 absolute error = 1.13242748511766e-14 relative error = 1.328405693478101e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.35 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] = 3.289999999999974 y[1] (analytic) = -0.8411446531781441 y[1] (numeric) = -0.8411446531781327 absolute error = 1.143529715363911e-14 relative error = 1.359492343015257e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.06 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] = 3.299999999999974 y[1] (analytic) = -0.8297340757656467 y[1] (numeric) = -0.829734075765635 absolute error = 1.176836406102666e-14 relative error = 1.418329607611603e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.309999999999973 y[1] (analytic) = -0.8182405256370154 y[1] (numeric) = -0.8182405256370034 absolute error = 1.199040866595169e-14 relative error = 1.465389245615394e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.319999999999973 y[1] (analytic) = -0.8066651521376853 y[1] (numeric) = -0.8066651521376731 absolute error = 1.221245327087672e-14 relative error = 1.513943330576929e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329999999999973 y[1] (analytic) = -0.7950091127953601 y[1] (numeric) = -0.7950091127953477 absolute error = 1.243449787580175e-14 relative error = 1.564069854756805e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339999999999973 y[1] (analytic) = -0.7832735732042608 y[1] (numeric) = -0.7832735732042482 absolute error = 1.265654248072678e-14 relative error = 1.615852099918381e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349999999999973 y[1] (analytic) = -0.771459706908567 y[1] (numeric) = -0.771459706908554 absolute error = 1.298960938811433e-14 relative error = 1.683770295686208e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.359999999999972 y[1] (analytic) = -0.7595686952850631 y[1] (numeric) = -0.7595686952850499 absolute error = 1.321165399303936e-14 relative error = 1.739362624480078e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.369999999999972 y[1] (analytic) = -0.7476017274250025 y[1] (numeric) = -0.7476017274249891 absolute error = 1.343369859796439e-14 relative error = 1.796905772841734e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.379999999999972 y[1] (analytic) = -0.7355600000151988 y[1] (numeric) = -0.7355600000151852 absolute error = 1.365574320288943e-14 relative error = 1.856509761624784e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.389999999999972 y[1] (analytic) = -0.7234447172183583 y[1] (numeric) = -0.7234447172183444 absolute error = 1.398881011027697e-14 relative error = 1.933639126437177e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399999999999971 y[1] (analytic) = -0.7112570905526645 y[1] (numeric) = -0.7112570905526503 absolute error = 1.4210854715202e-14 relative error = 1.997991289501215e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409999999999971 y[1] (analytic) = -0.6989983387706278 y[1] (numeric) = -0.6989983387706132 absolute error = 1.454392162258955e-14 relative error = 2.080680427391123e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.419999999999971 y[1] (analytic) = -0.6866696877372106 y[1] (numeric) = -0.6866696877371958 absolute error = 1.476596622751458e-14 relative error = 2.150373970368929e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.429999999999971 y[1] (analytic) = -0.6742723703072424 y[1] (numeric) = -0.6742723703072275 absolute error = 1.48769885299771e-14 relative error = 2.206376708450648e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.439999999999971 y[1] (analytic) = -0.6618076262021354 y[1] (numeric) = -0.6618076262021202 absolute error = 1.521005543736464e-14 relative error = 2.298259318141953e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.44999999999997 y[1] (analytic) = -0.6492767018859127 y[1] (numeric) = -0.6492767018858973 absolute error = 1.543210004228968e-14 relative error = 2.376814075950213e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45999999999997 y[1] (analytic) = -0.6366808504405634 y[1] (numeric) = -0.6366808504405478 absolute error = 1.565414464721471e-14 relative error = 2.458711399342783e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.46999999999997 y[1] (analytic) = -0.6240213314407359 y[1] (numeric) = -0.6240213314407199 absolute error = 1.598721155460225e-14 relative error = 2.561965552954912e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.47999999999997 y[1] (analytic) = -0.6112994108277802 y[1] (numeric) = -0.611299410827764 absolute error = 1.620925615952729e-14 relative error = 2.651606704082671e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.48999999999997 y[1] (analytic) = -0.5985163607831562 y[1] (numeric) = -0.5985163607831397 absolute error = 1.643130076445232e-14 relative error = 2.745338614127779e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.499999999999969 y[1] (analytic) = -0.585673459601216 y[1] (numeric) = -0.5856734596011992 absolute error = 1.676436767183986e-14 relative error = 2.862408633516481e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.509999999999969 y[1] (analytic) = -0.5727719915613751 y[1] (numeric) = -0.5727719915613581 absolute error = 1.709743457922741e-14 relative error = 2.985033282200102e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.519999999999969 y[1] (analytic) = -0.5598132467996865 y[1] (numeric) = -0.5598132467996692 absolute error = 1.731947918415244e-14 relative error = 3.093795883388542e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.529999999999969 y[1] (analytic) = -0.5467985211798274 y[1] (numeric) = -0.5467985211798099 absolute error = 1.754152378907747e-14 relative error = 3.208041556372193e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.539999999999969 y[1] (analytic) = -0.5337291161635144 y[1] (numeric) = -0.5337291161634965 absolute error = 1.787459069646502e-14 relative error = 3.349000486416957e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.549999999999968 y[1] (analytic) = -0.5206063386803577 y[1] (numeric) = -0.5206063386803396 absolute error = 1.809663530139005e-14 relative error = 3.476068952072641e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.559999999999968 y[1] (analytic) = -0.5074315009971702 y[1] (numeric) = -0.5074315009971517 absolute error = 1.84297022087776e-14 relative error = 3.631958633344755e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.569999999999968 y[1] (analytic) = -0.4942059205867411 y[1] (numeric) = -0.4942059205867224 absolute error = 1.870725796493389e-14 relative error = 3.785316441115048e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579999999999968 y[1] (analytic) = -0.4809309199960902 y[1] (numeric) = -0.4809309199960712 absolute error = 1.898481372109018e-14 relative error = 3.947513651491677e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.589999999999967 y[1] (analytic) = -0.4676078267142141 y[1] (numeric) = -0.4676078267141949 absolute error = 1.920685832601521e-14 relative error = 4.107471523943029e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599999999999967 y[1] (analytic) = -0.4542379730393385 y[1] (numeric) = -0.454237973039319 absolute error = 1.953992523340276e-14 relative error = 4.301693471961344e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609999999999967 y[1] (analytic) = -0.4408226959456893 y[1] (numeric) = -0.4408226959456696 absolute error = 1.976196983832779e-14 relative error = 4.482974678954034e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.619999999999967 y[1] (analytic) = -0.4273633369497967 y[1] (numeric) = -0.4273633369497766 absolute error = 2.003952559448408e-14 relative error = 4.68910733838597e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629999999999967 y[1] (analytic) = -0.4138612419763439 y[1] (numeric) = -0.4138612419763236 absolute error = 2.031708135064036e-14 relative error = 4.909152945469989e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.639999999999966 y[1] (analytic) = -0.4003177612235769 y[1] (numeric) = -0.4003177612235562 absolute error = 2.065014825802791e-14 relative error = 5.158439184639333e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.649999999999966 y[1] (analytic) = -0.3867342490282845 y[1] (numeric) = -0.3867342490282635 absolute error = 2.098321516541546e-14 relative error = 5.425745254819884e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.659999999999966 y[1] (analytic) = -0.3731120637303666 y[1] (numeric) = -0.3731120637303453 absolute error = 2.126077092157175e-14 relative error = 5.698226615619716e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.669999999999966 y[1] (analytic) = -0.3594525675370013 y[1] (numeric) = -0.3594525675369799 absolute error = 2.148281552649678e-14 relative error = 5.976536952760917e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.679999999999966 y[1] (analytic) = -0.3457571263864253 y[1] (numeric) = -0.3457571263864035 absolute error = 2.176037128265307e-14 relative error = 6.293542380478149e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689999999999965 y[1] (analytic) = -0.3320271098113405 y[1] (numeric) = -0.3320271098113184 absolute error = 2.209343819004062e-14 relative error = 6.654106709116077e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999965 y[1] (analytic) = -0.3182638908019631 y[1] (numeric) = -0.3182638908019406 absolute error = 2.248201624865942e-14 relative error = 7.063954441080046e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709999999999965 y[1] (analytic) = -0.3044688456687243 y[1] (numeric) = -0.3044688456687016 absolute error = 2.270406085358445e-14 relative error = 7.45694056274233e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.719999999999965 y[1] (analytic) = -0.290643353904642 y[1] (numeric) = -0.290643353904619 absolute error = 2.3037127760972e-14 relative error = 7.926253069777854e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.729999999999964 y[1] (analytic) = -0.2767887980473712 y[1] (numeric) = -0.2767887980473479 absolute error = 2.331468351712829e-14 relative error = 8.423275682254338e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.739999999999964 y[1] (analytic) = -0.262906563540952 y[1] (numeric) = -0.2629065635409285 absolute error = 2.353672812205332e-14 relative error = 8.952506854545335e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749999999999964 y[1] (analytic) = -0.248998038597267 y[1] (numeric) = -0.2489980385972431 absolute error = 2.389755060505649e-14 relative error = 9.597485482087966e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.759999999999964 y[1] (analytic) = -0.23506461405722 y[1] (numeric) = -0.2350646140571958 absolute error = 2.420286193682841e-14 relative error = 1.02962591940516e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.769999999999964 y[1] (analytic) = -0.2211076832516536 y[1] (numeric) = -0.2211076832516292 absolute error = 2.44804176929847e-14 relative error = 1.10717173338216e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779999999999963 y[1] (analytic) = -0.2071286418620179 y[1] (numeric) = -0.2071286418619932 absolute error = 2.473021787352536e-14 relative error = 1.193954522716361e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.789999999999963 y[1] (analytic) = -0.1931288877808027 y[1] (numeric) = -0.1931288877807777 absolute error = 2.503552920529728e-14 relative error = 1.296311985895766e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999963 y[1] (analytic) = -0.1791098209717496 y[1] (numeric) = -0.1791098209717242 absolute error = 2.536859611268483e-14 relative error = 1.416371027286445e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.809999999999963 y[1] (analytic) = -0.1650728433298569 y[1] (numeric) = -0.1650728433298313 absolute error = 2.561839629322549e-14 relative error = 1.551944933912207e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.819999999999963 y[1] (analytic) = -0.1510193585411917 y[1] (numeric) = -0.1510193585411657 absolute error = 2.600697435184429e-14 relative error = 1.722095405719174e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.829999999999962 y[1] (analytic) = -0.1369507719425212 y[1] (numeric) = -0.1369507719424949 absolute error = 2.625677453238495e-14 relative error = 1.917241805939219e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.839999999999962 y[1] (analytic) = -0.1228684903807818 y[1] (numeric) = -0.1228684903807552 absolute error = 2.660371922758031e-14 relative error = 2.165219019549496e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.849999999999962 y[1] (analytic) = -0.1087739220723943 y[1] (numeric) = -0.1087739220723675 absolute error = 2.682576383250534e-14 relative error = 2.466194407759931e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.859999999999962 y[1] (analytic) = -0.09466847646244428 y[1] (numeric) = -0.09466847646241718 absolute error = 2.710331958866163e-14 relative error = 2.862971984070508e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.869999999999961 y[1] (analytic) = -0.08055356408373823 y[1] (numeric) = -0.08055356408371073 absolute error = 2.750577543508825e-14 relative error = 3.41459446865629e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.879999999999961 y[1] (analytic) = -0.06643059641575139 y[1] (numeric) = -0.06643059641572366 absolute error = 2.772782004001328e-14 relative error = 4.173953198685829e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.889999999999961 y[1] (analytic) = -0.05230098574348175 y[1] (numeric) = -0.05230098574345366 absolute error = 2.808864252301646e-14 relative error = 5.370576122748726e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.899999999999961 y[1] (analytic) = -0.0381661450162217 y[1] (numeric) = -0.03816614501619332 absolute error = 2.837313717307666e-14 relative error = 7.434111346853937e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.909999999999961 y[1] (analytic) = -0.02402748770626504 y[1] (numeric) = -0.02402748770623638 absolute error = 2.866457071704076e-14 relative error = 1.192990755732095e-10 % Correct digits = 12 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.91999999999996 y[1] (analytic) = -0.009886427667560569 y[1] (numeric) = -0.009886427667531646 absolute error = 2.89230445149613e-14 relative error = 2.925530382411419e-10 % Correct digits = 12 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.92999999999996 y[1] (analytic) = 0.004255621005671879 y[1] (numeric) = 0.004255621005701178 absolute error = 2.929947950924827e-14 relative error = 6.88488929587433e-10 % Correct digits = 12 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.002902 Order of pole (three term test) = -0.8931 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.93999999999996 y[1] (analytic) = 0.01839724412035022 y[1] (numeric) = 0.01839724412037978 absolute error = 2.955621858369284e-14 relative error = 1.606556851142669e-10 % Correct digits = 12 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01254 Order of pole (three term test) = -0.8969 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.94999999999996 y[1] (analytic) = 0.03253702752594742 y[1] (numeric) = 0.03253702752597732 absolute error = 2.989969383193625e-14 relative error = 9.189436191763993e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02218 Order of pole (three term test) = -0.9057 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.95999999999996 y[1] (analytic) = 0.04667355725590622 y[1] (numeric) = 0.04667355725593637 absolute error = 3.014949401247691e-14 relative error = 6.459652056767473e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03181 Order of pole (three term test) = -0.9192 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.969999999999959 y[1] (analytic) = 0.06080541966903383 y[1] (numeric) = 0.06080541966906434 absolute error = 3.050337760157618e-14 relative error = 5.016555722764056e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04142 Order of pole (three term test) = -0.9376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.979999999999959 y[1] (analytic) = 0.0749312015908656 y[1] (numeric) = 0.07493120159089642 absolute error = 3.082256672115591e-14 relative error = 4.113448879340178e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05102 Order of pole (three term test) = -0.9607 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989999999999959 y[1] (analytic) = 0.08904949045498073 y[1] (numeric) = 0.08904949045501187 absolute error = 3.114175584073564e-14 relative error = 3.497129032588846e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0606 Order of pole (three term test) = -0.9887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.999999999999959 y[1] (analytic) = 0.1031588744442581 y[1] (numeric) = 0.1031588744442895 absolute error = 3.136380044566067e-14 relative error = 3.040339535946382e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07015 Order of pole (three term test) = -1.022 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.009999999999959 y[1] (analytic) = 0.1172579426320571 y[1] (numeric) = 0.1172579426320881 absolute error = 3.104461132608094e-14 relative error = 2.647548697276365e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07968 Order of pole (three term test) = -1.059 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019999999999959 y[1] (analytic) = 0.1313452851233068 y[1] (numeric) = 0.1313452851233382 absolute error = 3.133604487004504e-14 relative error = 2.385776150291714e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08917 Order of pole (three term test) = -1.101 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.029999999999959 y[1] (analytic) = 0.1454194931954983 y[1] (numeric) = 0.1454194931955299 absolute error = 3.164135620181696e-14 relative error = 2.175867588761235e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09863 Order of pole (three term test) = -1.148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039999999999958 y[1] (analytic) = 0.1594791594395527 y[1] (numeric) = 0.1594791594395846 absolute error = 3.197442310920451e-14 relative error = 2.004927993197993e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.108 Order of pole (three term test) = -1.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049999999999958 y[1] (analytic) = 0.1735228779005619 y[1] (numeric) = 0.1735228779005942 absolute error = 3.230749001659206e-14 relative error = 1.861857664388555e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1174 Order of pole (three term test) = -1.257 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059999999999958 y[1] (analytic) = 0.1875492442183831 y[1] (numeric) = 0.1875492442184157 absolute error = 3.258504577274834e-14 relative error = 1.73741280102447e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1267 Order of pole (three term test) = -1.318 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069999999999958 y[1] (analytic) = 0.201556855768073 y[1] (numeric) = 0.2015568557681059 absolute error = 3.2834845953289e-14 relative error = 1.629061230795906e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.136 Order of pole (three term test) = -1.384 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079999999999957 y[1] (analytic) = 0.2155443118001495 y[1] (numeric) = 0.2155443118001827 absolute error = 3.316791286067655e-14 relative error = 1.538797873331471e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1452 Order of pole (three term test) = -1.454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089999999999957 y[1] (analytic) = 0.2295102135806657 y[1] (numeric) = 0.2295102135806992 absolute error = 3.35009797680641e-14 relative error = 1.459672719806413e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1544 Order of pole (three term test) = -1.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999957 y[1] (analytic) = 0.2434531645310818 y[1] (numeric) = 0.2434531645311155 absolute error = 3.36952687973735e-14 relative error = 1.38405548608392e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1635 Order of pole (three term test) = -1.609 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.109999999999957 y[1] (analytic) = 0.2573717703679215 y[1] (numeric) = 0.2573717703679556 absolute error = 3.408384685599231e-14 relative error = 1.32430401388887e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1726 Order of pole (three term test) = -1.694 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.119999999999957 y[1] (analytic) = 0.2712646392422003 y[1] (numeric) = 0.2712646392422347 absolute error = 3.436140261214859e-14 relative error = 1.266711455947224e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1815 Order of pole (three term test) = -1.782 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.129999999999956 y[1] (analytic) = 0.2851303818786081 y[1] (numeric) = 0.2851303818786427 absolute error = 3.458344721707363e-14 relative error = 1.212899410761398e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1904 Order of pole (three term test) = -1.876 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.139999999999956 y[1] (analytic) = 0.2989676117144358 y[1] (numeric) = 0.2989676117144707 absolute error = 3.491651412446117e-14 relative error = 1.167902901730114e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1992 Order of pole (three term test) = -1.973 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.149999999999956 y[1] (analytic) = 0.3127749450382308 y[1] (numeric) = 0.3127749450382661 absolute error = 3.530509218307998e-14 relative error = 1.128769830932737e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.208 Order of pole (three term test) = -2.075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.159999999999956 y[1] (analytic) = 0.3265510011281671 y[1] (numeric) = 0.3265510011282026 absolute error = 3.552713678800501e-14 relative error = 1.08795063145622e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2166 Order of pole (three term test) = -2.182 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.169999999999956 y[1] (analytic) = 0.3402944023901155 y[1] (numeric) = 0.3402944023901512 absolute error = 3.574918139293004e-14 relative error = 1.050536862841105e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2252 Order of pole (three term test) = -2.293 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179999999999955 y[1] (analytic) = 0.3540037744954024 y[1] (numeric) = 0.3540037744954386 absolute error = 3.61932706027801e-14 relative error = 1.022397872857996e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2337 Order of pole (three term test) = -2.408 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189999999999955 y[1] (analytic) = 0.3676777465182421 y[1] (numeric) = 0.3676777465182785 absolute error = 3.641531520770513e-14 relative error = 9.904139032765316e-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 = 0.2421 Order of pole (three term test) = -2.527 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999955 y[1] (analytic) = 0.381314951072827 y[1] (numeric) = 0.3813149510728637 absolute error = 3.669287096386142e-14 relative error = 9.622720237070768e-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 = 0.2503 Order of pole (three term test) = -2.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.209999999999955 y[1] (analytic) = 0.3949140244500661 y[1] (numeric) = 0.3949140244501031 absolute error = 3.702593787124897e-14 relative error = 9.37569586767882e-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 = 0.2585 Order of pole (three term test) = -2.778 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.219999999999954 y[1] (analytic) = 0.4084736067539541 y[1] (numeric) = 0.4084736067539914 absolute error = 3.730349362740526e-14 relative error = 9.13241223193037e-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 = 0.2666 Order of pole (three term test) = -2.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229999999999954 y[1] (analytic) = 0.4219923420375601 y[1] (numeric) = 0.4219923420375978 absolute error = 3.763656053479281e-14 relative error = 8.918778088025802e-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 = 0.2746 Order of pole (three term test) = -3.045 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.239999999999954 y[1] (analytic) = 0.4354688784386216 y[1] (numeric) = 0.4354688784386596 absolute error = 3.79141162909491e-14 relative error = 8.706504222963204e-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 = 0.2825 Order of pole (three term test) = -3.185 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.249999999999954 y[1] (analytic) = 0.4489018683147288 y[1] (numeric) = 0.448901868314767 absolute error = 3.819167204710538e-14 relative error = 8.50779975376019e-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 = 0.2902 Order of pole (three term test) = -3.329 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999954 y[1] (analytic) = 0.4622899683780881 y[1] (numeric) = 0.4622899683781266 absolute error = 3.846922780326167e-14 relative error = 8.321449833365033e-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 = 0.2979 Order of pole (three term test) = -3.476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.269999999999953 y[1] (analytic) = 0.47563183982985 y[1] (numeric) = 0.4756318398298887 absolute error = 3.874678355941796e-14 relative error = 8.146381363636007e-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 = 0.3054 Order of pole (three term test) = -3.627 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279999999999953 y[1] (analytic) = 0.4889261484939874 y[1] (numeric) = 0.4889261484940264 absolute error = 3.907985046680551e-14 relative error = 7.992996608420525e-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 = 0.3128 Order of pole (three term test) = -3.782 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.289999999999953 y[1] (analytic) = 0.5021715649507125 y[1] (numeric) = 0.5021715649507519 absolute error = 3.941291737419306e-14 relative error = 7.84849643528928e-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 = 0.32 Order of pole (three term test) = -3.941 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299999999999953 y[1] (analytic) = 0.5153667646694174 y[1] (numeric) = 0.5153667646694571 absolute error = 3.963496197911809e-14 relative error = 7.690632127692979e-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 = 0.3272 Order of pole (three term test) = -4.103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.309999999999953 y[1] (analytic) = 0.5285104281411264 y[1] (numeric) = 0.5285104281411662 absolute error = 3.985700658404312e-14 relative error = 7.541385081885317e-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 = 0.3342 Order of pole (three term test) = -4.269 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319999999999952 y[1] (analytic) = 0.541601241010445 y[1] (numeric) = 0.5416012410104851 absolute error = 4.007905118896815e-14 relative error = 7.400103277864388e-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 = 0.3411 Order of pole (three term test) = -4.438 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.329999999999952 y[1] (analytic) = 0.5546378942069955 y[1] (numeric) = 0.5546378942070359 absolute error = 4.04121180963557e-14 relative error = 7.286216560110037e-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 = 0.3478 Order of pole (three term test) = -4.611 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.339999999999952 y[1] (analytic) = 0.567619084076322 y[1] (numeric) = 0.5676190840763626 absolute error = 4.063416270128073e-14 relative error = 7.15870270066837e-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 = 0.3544 Order of pole (three term test) = -4.787 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.349999999999952 y[1] (analytic) = 0.5805435125102553 y[1] (numeric) = 0.5805435125102961 absolute error = 4.085620730620576e-14 relative error = 7.037578824978092e-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 = 0.3609 Order of pole (three term test) = -4.966 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.359999999999951 y[1] (analytic) = 0.593409887076722 y[1] (numeric) = 0.5934098870767632 absolute error = 4.118927421359331e-14 relative error = 6.941116943046138e-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 = 0.3672 Order of pole (three term test) = -5.149 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369999999999951 y[1] (analytic) = 0.6062169211489877 y[1] (numeric) = 0.6062169211490293 absolute error = 4.152234112098085e-14 relative error = 6.849419683350617e-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 = 0.3734 Order of pole (three term test) = -5.334 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.379999999999951 y[1] (analytic) = 0.6189633340343177 y[1] (numeric) = 0.6189633340343594 absolute error = 4.174438572590589e-14 relative error = 6.744242094894658e-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 = 0.3794 Order of pole (three term test) = -5.523 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.389999999999951 y[1] (analytic) = 0.6316478511020452 y[1] (numeric) = 0.6316478511020873 absolute error = 4.207745263329343e-14 relative error = 6.661536576096995e-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 = 0.3852 Order of pole (three term test) = -5.715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399999999999951 y[1] (analytic) = 0.6442692039110341 y[1] (numeric) = 0.6442692039110764 absolute error = 4.229949723821846e-14 relative error = 6.565500412163037e-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 = 0.391 Order of pole (three term test) = -5.909 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.40999999999995 y[1] (analytic) = 0.656826130336521 y[1] (numeric) = 0.6568261303365637 absolute error = 4.263256414560601e-14 relative error = 6.490692464345696e-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 = 0.3965 Order of pole (three term test) = -6.107 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.41999999999995 y[1] (analytic) = 0.6693173746963276 y[1] (numeric) = 0.6693173746963705 absolute error = 4.296563105299356e-14 relative error = 6.419321039213612e-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 = 0.4019 Order of pole (three term test) = -6.307 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.42999999999995 y[1] (analytic) = 0.6817416878764272 y[1] (numeric) = 0.6817416878764704 absolute error = 4.318767565791859e-14 relative error = 6.334903149673137e-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 = 0.4071 Order of pole (three term test) = -6.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.43999999999995 y[1] (analytic) = 0.6940978274558552 y[1] (numeric) = 0.6940978274558988 absolute error = 4.352074256530614e-14 relative error = 6.270116523030619e-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 = 0.4122 Order of pole (three term test) = -6.715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.44999999999995 y[1] (analytic) = 0.7063845578309507 y[1] (numeric) = 0.7063845578309944 absolute error = 4.374278717023117e-14 relative error = 6.19248915980685e-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 = 0.4171 Order of pole (three term test) = -6.923 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.459999999999949 y[1] (analytic) = 0.7186006503389148 y[1] (numeric) = 0.7186006503389588 absolute error = 4.39648317751562e-14 relative error = 6.118117448741661e-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 = 0.4219 Order of pole (three term test) = -7.133 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.469999999999949 y[1] (analytic) = 0.730744883380677 y[1] (numeric) = 0.7307448833807213 absolute error = 4.429789868254375e-14 relative error = 6.062019685667375e-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 = 0.4264 Order of pole (three term test) = -7.346 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.479999999999949 y[1] (analytic) = 0.7428160425430532 y[1] (numeric) = 0.7428160425430977 absolute error = 4.451994328746878e-14 relative error = 5.993400887661689e-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 = 0.4308 Order of pole (three term test) = -7.561 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489999999999949 y[1] (analytic) = 0.7548129207201864 y[1] (numeric) = 0.7548129207202311 absolute error = 4.474198789239381e-14 relative error = 5.927559884600854e-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 = 0.4351 Order of pole (three term test) = -7.778 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499999999999948 y[1] (analytic) = 0.7667343182342561 y[1] (numeric) = 0.7667343182343012 absolute error = 4.507505479978136e-14 relative error = 5.878836218468289e-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 = 0.4391 Order of pole (three term test) = -7.997 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509999999999948 y[1] (analytic) = 0.7785790429554457 y[1] (numeric) = 0.778579042955491 absolute error = 4.529709940470639e-14 relative error = 5.817919171412699e-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 = 0.443 Order of pole (three term test) = -8.218 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519999999999948 y[1] (analytic) = 0.7903459104211533 y[1] (numeric) = 0.7903459104211989 absolute error = 4.563016631209393e-14 relative error = 5.773442452277495e-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 = 0.4467 Order of pole (three term test) = -8.441 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529999999999948 y[1] (analytic) = 0.8020337439544383 y[1] (numeric) = 0.8020337439544841 absolute error = 4.585221091701897e-14 relative error = 5.716992740348307e-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 = 0.4502 Order of pole (three term test) = -8.666 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.539999999999948 y[1] (analytic) = 0.8136413747816871 y[1] (numeric) = 0.8136413747817332 absolute error = 4.6074255521944e-14 relative error = 5.662722785490899e-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 = 0.4536 Order of pole (three term test) = -8.892 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.549999999999947 y[1] (analytic) = 0.8251676421494899 y[1] (numeric) = 0.8251676421495362 absolute error = 4.629630012686903e-14 relative error = 5.610532667794776e-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 = 0.4567 Order of pole (three term test) = -9.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.559999999999947 y[1] (analytic) = 0.8366113934407151 y[1] (numeric) = 0.8366113934407617 absolute error = 4.662936703425657e-14 relative error = 5.573599331762014e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 13.94 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4597 Order of pole (three term test) = -9.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.569999999999947 y[1] (analytic) = 0.8479714842897702 y[1] (numeric) = 0.8479714842898171 absolute error = 4.685141163918161e-14 relative error = 5.525116411010286e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.24 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4625 Order of pole (three term test) = -9.581 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579999999999947 y[1] (analytic) = 0.8592467786970368 y[1] (numeric) = 0.8592467786970839 absolute error = 4.707345624410664e-14 relative error = 5.478455946670979e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.53 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4651 Order of pole (three term test) = -9.813 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589999999999947 y[1] (analytic) = 0.8704361491424704 y[1] (numeric) = 0.8704361491425177 absolute error = 4.729550084903167e-14 relative error = 5.433540518236276e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.84 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4675 Order of pole (three term test) = -10.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.599999999999946 y[1] (analytic) = 0.8815384766983506 y[1] (numeric) = 0.8815384766983982 absolute error = 4.762856775641922e-14 relative error = 5.402891537395367e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.15 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4698 Order of pole (three term test) = -10.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609999999999946 y[1] (analytic) = 0.892552651141174 y[1] (numeric) = 0.892552651141222 absolute error = 4.796163466380676e-14 relative error = 5.373535623078971e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.46 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4718 Order of pole (three term test) = -10.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.619999999999946 y[1] (analytic) = 0.9034775710626748 y[1] (numeric) = 0.9034775710627229 absolute error = 4.807265696626928e-14 relative error = 5.320846748826978e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.78 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4737 Order of pole (three term test) = -10.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.629999999999946 y[1] (analytic) = 0.9143121439799646 y[1] (numeric) = 0.914312143980013 absolute error = 4.840572387365683e-14 relative error = 5.294223006045684e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.1 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4753 Order of pole (three term test) = -10.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.639999999999946 y[1] (analytic) = 0.9250552864447809 y[1] (numeric) = 0.9250552864448295 absolute error = 4.862776847858186e-14 relative error = 5.256741860853587e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.43 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4768 Order of pole (three term test) = -11.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.649999999999945 y[1] (analytic) = 0.9357059241518294 y[1] (numeric) = 0.9357059241518783 absolute error = 4.884981308350689e-14 relative error = 5.220637362939302e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4781 Order of pole (three term test) = -11.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.659999999999945 y[1] (analytic) = 0.946262992046215 y[1] (numeric) = 0.9462629920462642 absolute error = 4.918287999089443e-14 relative error = 5.197590987315328e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.11 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4792 Order of pole (three term test) = -11.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.669999999999945 y[1] (analytic) = 0.956725434429946 y[1] (numeric) = 0.9567254344299954 absolute error = 4.940492459581947e-14 relative error = 5.163960611672964e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.45 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4801 Order of pole (three term test) = -11.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679999999999945 y[1] (analytic) = 0.9670922050675025 y[1] (numeric) = 0.9670922050675521 absolute error = 4.96269692007445e-14 relative error = 5.131565422686926e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.81 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4808 Order of pole (three term test) = -12.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.689999999999944 y[1] (analytic) = 0.9773622672904597 y[1] (numeric) = 0.9773622672905096 absolute error = 4.984901380566953e-14 relative error = 5.100362012528465e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.17 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4813 Order of pole (three term test) = -12.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699999999999944 y[1] (analytic) = 0.9875345941011536 y[1] (numeric) = 0.9875345941012038 absolute error = 5.018208071305708e-14 relative error = 5.081551675537243e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.53 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4817 Order of pole (three term test) = -12.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709999999999944 y[1] (analytic) = 0.9976081682753803 y[1] (numeric) = 0.9976081682754306 absolute error = 5.029310301551959e-14 relative error = 5.041368406441983e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.91 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4818 Order of pole (three term test) = -12.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.719999999999944 y[1] (analytic) = 1.007581982464117 y[1] (numeric) = 1.007581982464167 absolute error = 5.062616992290714e-14 relative error = 5.024521160957749e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19.29 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4818 Order of pole (three term test) = -13.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.729999999999944 y[1] (analytic) = 1.017455039294256 y[1] (numeric) = 1.017455039294306 absolute error = 5.062616992290714e-14 relative error = 4.975764821807095e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 19.31 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4815 Order of pole (three term test) = -13.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.739999999999943 y[1] (analytic) = 1.027226351468342 y[1] (numeric) = 1.027226351468393 absolute error = 5.084821452783217e-14 relative error = 4.950049660929017e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.92 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4811 Order of pole (three term test) = -13.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.749999999999943 y[1] (analytic) = 1.0368949418633 y[1] (numeric) = 1.036894941863351 absolute error = 5.10702591327572e-14 relative error = 4.925306997928254e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.55 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4804 Order of pole (three term test) = -13.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759999999999943 y[1] (analytic) = 1.046459843628148 y[1] (numeric) = 1.046459843628199 absolute error = 5.129230373768223e-14 relative error = 4.901507119456042e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 18.18 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4796 Order of pole (three term test) = -14.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769999999999943 y[1] (analytic) = 1.05592010028068 y[1] (numeric) = 1.055920100280731 absolute error = 5.129230373768223e-14 relative error = 4.857593270934793e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.82 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4786 Order of pole (three term test) = -14.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779999999999943 y[1] (analytic) = 1.065274765803115 y[1] (numeric) = 1.065274765803166 absolute error = 5.151434834260726e-14 relative error = 4.835780401103409e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.46 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4774 Order of pole (three term test) = -14.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999999999942 y[1] (analytic) = 1.074522904736695 y[1] (numeric) = 1.074522904736747 absolute error = 5.173639294753229e-14 relative error = 4.814824581167021e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 17.11 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.476 Order of pole (three term test) = -14.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799999999999942 y[1] (analytic) = 1.083663592275235 y[1] (numeric) = 1.083663592275286 absolute error = 5.173639294753229e-14 relative error = 4.774211601859557e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4744 Order of pole (three term test) = -15.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.809999999999942 y[1] (analytic) = 1.092695914357596 y[1] (numeric) = 1.092695914357648 absolute error = 5.195843755245733e-14 relative error = 4.755068346988746e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.43 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4726 Order of pole (three term test) = -15.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.819999999999942 y[1] (analytic) = 1.1016189677591 y[1] (numeric) = 1.101618967759152 absolute error = 5.218048215738236e-14 relative error = 4.736708760881931e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 16.1 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4706 Order of pole (three term test) = -15.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.829999999999941 y[1] (analytic) = 1.110431860181839 y[1] (numeric) = 1.110431860181892 absolute error = 5.240252676230739e-14 relative error = 4.719112323895874e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.77 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4685 Order of pole (three term test) = -15.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.839999999999941 y[1] (analytic) = 1.119133710343918 y[1] (numeric) = 1.119133710343971 absolute error = 5.262457136723242e-14 relative error = 4.702259513839549e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.45 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4661 Order of pole (three term test) = -16.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849999999999941 y[1] (analytic) = 1.127723648067571 y[1] (numeric) = 1.127723648067623 absolute error = 5.284661597215745e-14 relative error = 4.68613175423905e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 15.13 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4636 Order of pole (three term test) = -16.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.859999999999941 y[1] (analytic) = 1.136200814366183 y[1] (numeric) = 1.136200814366236 absolute error = 5.306866057708248e-14 relative error = 4.670711365990902e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.82 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.4609 Order of pole (three term test) = -16.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.869999999999941 y[1] (analytic) = 1.144564361530189 y[1] (numeric) = 1.144564361530243 absolute error = 5.329070518200751e-14 relative error = 4.655981522154174e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 14.51 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.458 Order of pole (three term test) = -16.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.87999999999994 y[1] (analytic) = 1.152813453211843 y[1] (numeric) = 1.152813453211897 absolute error = 5.351274978693255e-14 relative error = 4.641926205652888e-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 = 0.4549 Order of pole (three term test) = -16.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.88999999999994 y[1] (analytic) = 1.160947264508851 y[1] (numeric) = 1.160947264508904 absolute error = 5.351274978693255e-14 relative error = 4.609404011953256e-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 = 0.4516 Order of pole (three term test) = -17.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.89999999999994 y[1] (analytic) = 1.16896498204686 y[1] (numeric) = 1.168964982046914 absolute error = 5.373479439185758e-14 relative error = 4.596783925705613e-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 = 0.4482 Order of pole (three term test) = -17.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.90999999999994 y[1] (analytic) = 1.176865804060799 y[1] (numeric) = 1.176865804060853 absolute error = 5.395683899678261e-14 relative error = 4.584791130016987e-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 = 0.4446 Order of pole (three term test) = -17.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.91999999999994 y[1] (analytic) = 1.18464894047505 y[1] (numeric) = 1.184648940475104 absolute error = 5.417888360170764e-14 relative error = 4.573412574022278e-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 = 0.4407 Order of pole (three term test) = -17.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.929999999999939 y[1] (analytic) = 1.192313612982458 y[1] (numeric) = 1.192313612982512 absolute error = 5.417888360170764e-14 relative error = 4.544012834524665e-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 = 0.4368 Order of pole (three term test) = -18.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.939999999999939 y[1] (analytic) = 1.199859055122159 y[1] (numeric) = 1.199859055122213 absolute error = 5.440092820663267e-14 relative error = 4.533943213946413e-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 = 0.4326 Order of pole (three term test) = -18.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.949999999999939 y[1] (analytic) = 1.207284512356227 y[1] (numeric) = 1.207284512356281 absolute error = 5.46229728115577e-14 relative error = 4.524449063373755e-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 = 0.4283 Order of pole (three term test) = -18.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.959999999999939 y[1] (analytic) = 1.214589242145126 y[1] (numeric) = 1.214589242145181 absolute error = 5.484501741648273e-14 relative error = 4.515519775197345e-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 = 0.4238 Order of pole (three term test) = -18.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.969999999999938 y[1] (analytic) = 1.221772514021965 y[1] (numeric) = 1.22177251402202 absolute error = 5.506706202140776e-14 relative error = 4.507145265539814e-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 = 0.4191 Order of pole (three term test) = -18.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979999999999938 y[1] (analytic) = 1.228833609665543 y[1] (numeric) = 1.228833609665598 absolute error = 5.506706202140776e-14 relative error = 4.481246410276458e-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 = 0.4143 Order of pole (three term test) = -19.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.989999999999938 y[1] (analytic) = 1.235771822972178 y[1] (numeric) = 1.235771822972233 absolute error = 5.52891066263328e-14 relative error = 4.474054643304289e-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 = 0.4093 Order of pole (three term test) = -19.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.999999999999938 y[1] (analytic) = 1.242586460126323 y[1] (numeric) = 1.242586460126378 absolute error = 5.52891066263328e-14 relative error = 4.449517872640592e-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 = 0.4041 Order of pole (three term test) = -19.54 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * sin(x) - cos(x); Iterations = 491 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.4 %