##############ECHO OF PROBLEM################# ##############temp/mult_c_sinpostode.ode################# diff ( y , x , 1 ) = 2.0 * sin(x); ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=0.1 x_end=5.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=10000000 $glob_max_minutes=3 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(-cos(x) * 2.0) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 desired_abs_gbl_error 1.0e-10 range 4.9 estimated_steps 4900000.000000001 step_error 2.040816326530612e-17 est_needed_step_err 2.040816326530612e-17 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.934417211064604e-183 estimated_step_error 4.934417211064604e-183 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.311431329213132e-175 estimated_step_error 3.311431329213132e-175 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.2222639389168714e-167 estimated_step_error 2.2222639389168714e-167 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.4913360734048375e-159 estimated_step_error 1.4913360734048375e-159 best_h 1.6e-05 opt_iter 5 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.0008186824075634e-151 estimated_step_error 1.0008186824075634e-151 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 6.716380284963249e-144 estimated_step_error 6.716380284963249e-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 4.507286243161841e-136 estimated_step_error 4.507286243161841e-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 3.024788235308614e-128 estimated_step_error 3.024788235308614e-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 2.0299005403161113e-120 estimated_step_error 2.0299005403161113e-120 best_h 0.000512 opt_iter 10 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.3622425448816217e-112 estimated_step_error 1.3622425448816217e-112 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 9.141846268720051e-105 estimated_step_error 9.141846268720051e-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 6.134977500468044e-97 estimated_step_error 6.134977500468044e-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 4.1170980232361815e-89 estimated_step_error 4.1170980232361815e-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 2.7629166394804893e-81 estimated_step_error 2.7629166394804893e-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 1.8541336236856212e-73 estimated_step_error 1.8541336236856212e-73 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 1.2442498004032232e-65 estimated_step_error 1.2442498004032232e-65 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 8.349501750158484e-58 estimated_step_error 8.349501750158484e-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 5.602549508799206e-50 estimated_step_error 5.602549508799206e-50 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) -1.9900083305560516 y[1] (numeric) -1.9900083305560516 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) -1.9879121959133936 y[1] (numeric) -1.9879121959133939 absolute error 2.220446049250313e-16 relative error 1.1169739054948934e-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] 0.12 y[1] (analytic) -1.9856172717077325 y[1] (numeric) -1.9856172717077327 absolute error 2.220446049250313e-16 relative error 1.1182648745498752e-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] 0.13 y[1] (analytic) -1.9831237874295762 y[1] (numeric) -1.9831237874295764 absolute error 2.220446049250313e-16 relative error 1.1196709269108925e-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] 0.14 y[1] (analytic) -1.9804319924252742 y[1] (numeric) -1.9804319924252747 absolute error 4.440892098500626e-16 relative error 2.242385558042933e-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] 0.15000000000000002 y[1] (analytic) -1.9775421558720845 y[1] (numeric) -1.977542155872085 absolute error 4.440892098500626e-16 relative error 2.2456624175185883e-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] 0.16000000000000003 y[1] (analytic) -1.9744545667512539 y[1] (numeric) -1.9744545667512543 absolute error 4.440892098500626e-16 relative error 2.249174112832397e-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] 0.17000000000000004 y[1] (analytic) -1.9711695338191213 y[1] (numeric) -1.9711695338191217 absolute error 4.440892098500626e-16 relative error 2.2529224515237114e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) -1.967687385576243 y[1] (numeric) -1.9676873855762431 absolute error 2.220446049250313e-16 relative error 1.1284546851938319e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) -1.9640084702345406 y[1] (numeric) -1.9640084702345408 absolute error 2.220446049250313e-16 relative error 1.1305684689766887e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) -1.9601331556824833 y[1] (numeric) -1.9601331556824835 absolute error 2.220446049250313e-16 relative error 1.1328036785731495e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) -1.9560618294482965 y[1] (numeric) -1.9560618294482968 absolute error 2.220446049250313e-16 relative error 1.1351614840705652e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) -1.951794898661211 y[1] (numeric) -1.9517948986612113 absolute error 2.220446049250313e-16 relative error 1.137643125706178e-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) -1.9473327900107495 y[1] (numeric) -1.94733279001075 absolute error 4.440892098500626e-16 relative error 2.280499830989911e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) -1.942675949704059 y[1] (numeric) -1.9426759497040595 absolute error 4.440892098500626e-16 relative error 2.2859664779281058e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) -1.9378248434212895 y[1] (numeric) -1.93782484342129 absolute error 4.440892098500626e-16 relative error 2.2916891139965438e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) -1.9327799562690264 y[1] (numeric) -1.9327799562690269 absolute error 4.440892098500626e-16 relative error 2.2976708156024005e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) -1.927541792731781 y[1] (numeric) -1.9275417927317815 absolute error 4.440892098500626e-16 relative error 2.3039148179541338e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) -1.9221108766215418 y[1] (numeric) -1.9221108766215425 absolute error 6.661338147750939e-16 relative error 3.4656367792161125e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) -1.9164877510253941 y[1] (numeric) -1.9164877510253948 absolute error 6.661338147750939e-16 relative error 3.4758052297422036e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) -1.910672978251212 y[1] (numeric) -1.9106729782512124 absolute error 4.440892098500626e-16 relative error 2.3242554581816802e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) -1.9046671397714268 y[1] (numeric) -1.9046671397714272 absolute error 4.440892098500626e-16 relative error 2.3315843518115003e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) -1.8984708361648817 y[1] (numeric) -1.898470836164882 absolute error 4.440892098500626e-16 relative error 2.3391942683047546e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) -1.8920846870567738 y[1] (numeric) -1.8920846870567742 absolute error 4.440892098500626e-16 relative error 2.347089498096748e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) -1.8855093310566924 y[1] (numeric) -1.8855093310566928 absolute error 4.440892098500626e-16 relative error 2.3552745273404854e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) -1.8787454256947578 y[1] (numeric) -1.8787454256947582 absolute error 4.440892098500626e-16 relative error 2.3637540444620856e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) -1.8717936473558696 y[1] (numeric) -1.87179364735587 absolute error 4.440892098500626e-16 relative error 2.3725329470873632e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) -1.8646546912120687 y[1] (numeric) -1.8646546912120692 absolute error 4.440892098500626e-16 relative error 2.3816163493595392e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) -1.8573292711530203 y[1] (numeric) -1.8573292711530207 absolute error 4.440892098500626e-16 relative error 2.3910095896694418e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) -1.849818119714626 y[1] (numeric) -1.8498181197146264 absolute error 4.440892098500626e-16 relative error 2.4007182388210842e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) -1.84212198800577 y[1] (numeric) -1.8421219880057704 absolute error 4.440892098500626e-16 relative error 2.4107481086571322e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) -1.83424164563321 y[1] (numeric) -1.8342416456332105 absolute error 4.440892098500626e-16 relative error 2.421105261170514e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) -1.8261778806246163 y[1] (numeric) -1.8261778806246167 absolute error 4.440892098500626e-16 relative error 2.4317960181303295e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) -1.81793149934977 y[1] (numeric) -1.8179314993497704 absolute error 4.440892098500626e-16 relative error 2.4428269712522314e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) -1.8095033264399265 y[1] (numeric) -1.809503326439927 absolute error 4.440892098500626e-16 relative error 2.454204992945648e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) -1.8008942047053536 y[1] (numeric) -1.800894204705354 absolute error 4.440892098500626e-16 relative error 2.4659372476725838e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) -1.7921049950510501 y[1] (numeric) -1.7921049950510506 absolute error 4.440892098500626e-16 relative error 2.4780312039552808e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) -1.7831365763906577 y[1] (numeric) -1.783136576390658 absolute error 2.220446049250313e-16 relative error 1.2452473235363927e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) -1.773989845558568 y[1] (numeric) -1.7739898455585685 absolute error 4.440892098500626e-16 relative error 2.5033356924894588e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) -1.7646657172202427 y[1] (numeric) -1.7646657172202431 absolute error 4.440892098500626e-16 relative error 2.5165628000616798e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) -1.755165123780745 y[1] (numeric) -1.7551651237807455 absolute error 4.440892098500626e-16 relative error 2.530184789072519e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) -1.7454890152915021 y[1] (numeric) -1.7454890152915026 absolute error 4.440892098500626e-16 relative error 2.5442108541479325e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) -1.7356383593552995 y[1] (numeric) -1.7356383593552998 absolute error 2.220446049250313e-16 relative error 1.2793252910560785e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) -1.7256141410295216 y[1] (numeric) -1.725614141029522 absolute error 4.440892098500626e-16 relative error 2.5735139698444625e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) -1.7154173627276479 y[1] (numeric) -1.7154173627276483 absolute error 4.440892098500626e-16 relative error 2.588811443204271e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) -1.7050490441190111 y[1] (numeric) -1.7050490441190116 absolute error 4.440892098500626e-16 relative error 2.6045538770969542e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) -1.6945102220268318 y[1] (numeric) -1.6945102220268324 absolute error 6.661338147750939e-16 relative error 3.931128925137555e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) -1.683801950324537 y[1] (numeric) -1.6838019503245376 absolute error 6.661338147750939e-16 relative error 3.956129250513713e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) -1.6729252998303734 y[1] (numeric) -1.672925299830374 absolute error 6.661338147750939e-16 relative error 3.9818503243548093e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) -1.6618813582003265 y[1] (numeric) -1.6618813582003271 absolute error 6.661338147750939e-16 relative error 4.00831149280391e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) -1.6506712298193562 y[1] (numeric) -1.6506712298193567 absolute error 4.440892098500626e-16 relative error 2.69035530411869e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) -1.6392960356909585 y[1] (numeric) -1.6392960356909592 absolute error 6.661338147750939e-16 relative error 4.063535812153175e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) -1.6277569133250673 y[1] (numeric) -1.627756913325068 absolute error 6.661338147750939e-16 relative error 4.0923421017107686e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) -1.6160550166243033 y[1] (numeric) -1.616055016624304 absolute error 6.661338147750939e-16 relative error 4.1219748580499915e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.582294584819396 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) -1.6041915157685847 y[1] (numeric) -1.6041915157685853 absolute error 6.661338147750939e-16 relative error 4.1524581586877575e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.890876444419295 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) -1.592167597098111 y[1] (numeric) -1.5921675970981117 absolute error 6.661338147750939e-16 relative error 4.183817180987675e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.20408798267353 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) -1.5799844629947295 y[1] (numeric) -1.5799844629947302 absolute error 6.661338147750939e-16 relative error 4.216078261380448e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.522098256873289 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) -1.567643331761698 y[1] (numeric) -1.5676433317616985 absolute error 4.440892098500626e-16 relative error 2.8328459723743455e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.845083494565142 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) -1.5551454375018552 y[1] (numeric) -1.5551454375018559 absolute error 6.661338147750939e-16 relative error 4.283418120977507e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.173227502851304 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) -1.5424920299942126 y[1] (numeric) -1.542492029994213 absolute error 4.440892098500626e-16 relative error 2.879037305960854e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.50672210538052 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) -1.529684374568976 y[1] (numeric) -1.5296843745689768 absolute error 6.661338147750939e-16 relative error 4.3547141217467985e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.84576760926161 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) -1.5167237519810157 y[1] (numeric) -1.5167237519810162 absolute error 4.440892098500626e-16 relative error 2.9279505201262326e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.190573304338834 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) -1.5036114582817892 y[1] (numeric) -1.5036114582817899 absolute error 6.661338147750939e-16 relative error 4.430225714935028e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.541357997496704 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) -1.49034880468974 y[1] (numeric) -1.4903488046897406 absolute error 6.661338147750939e-16 relative error 4.469650411225507e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.89835058491631 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) -1.476937117459175 y[1] (numeric) -1.4769371174591757 absolute error 6.661338147750939e-16 relative error 4.510238160451045e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.261790665486036 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) -1.463377737747641 y[1] (numeric) -1.4633777377476416 absolute error 6.661338147750939e-16 relative error 4.552029169176609e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.631929198881462 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) -1.4496720214818095 y[1] (numeric) -1.4496720214818102 absolute error 6.661338147750939e-16 relative error 4.595065676263744e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.00902921217608 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) -1.435821339221886 y[1] (numeric) -1.4358213392218866 absolute error 6.661338147750939e-16 relative error 4.639392078795065e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.393366559229815 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) -1.421827076024554 y[1] (numeric) -1.4218270760245546 absolute error 6.661338147750939e-16 relative error 4.685055067579753e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.206245559681474 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) -1.4076906313044713 y[1] (numeric) -1.4076906313044721 absolute error 8.881784197001252e-16 relative error 6.309471697464327e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.825930021943517 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) -1.3934134186943299 y[1] (numeric) -1.3934134186943308 absolute error 8.881784197001252e-16 relative error 6.37411989711119e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.453077412358997 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) -1.3789968659034932 y[1] (numeric) -1.378996865903494 absolute error 6.661338147750939e-16 relative error 4.830568011035002e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.087397774889016 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) -1.3644424145752263 y[1] (numeric) -1.364442414575227 absolute error 6.661338147750939e-16 relative error 4.882095482076263e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.728615019669064 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) -1.3497515201425332 y[1] (numeric) -1.349751520142534 absolute error 8.881784197001252e-16 relative error 6.580310571580863e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.37646608256649 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) -1.3349256516826153 y[1] (numeric) -1.334925651682616 absolute error 6.661338147750939e-16 relative error 4.990044306478502e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.03070014462918 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) -1.3199662917699633 y[1] (numeric) -1.3199662917699642 absolute error 8.881784197001252e-16 relative error 6.7287962218274e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.69107790648819 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) -1.3048749363281027 y[1] (numeric) -1.3048749363281036 absolute error 8.881784197001252e-16 relative error 6.806617208844897e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.357370913238025 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) -1.2896530944800013 y[1] (numeric) -1.2896530944800022 absolute error 8.881784197001252e-16 relative error 6.886956062073779e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.029360925728202 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) -1.2743022883971593 y[1] (numeric) -1.2743022883971602 absolute error 8.881784197001252e-16 relative error 6.969919365186829e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.70683933457039 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) -1.2588240531473927 y[1] (numeric) -1.2588240531473935 absolute error 8.881784197001252e-16 relative error 7.055620024732166e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.38960661349667 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) -1.243219936541328 y[1] (numeric) -1.2432199365413288 absolute error 8.881784197001252e-16 relative error 7.144177740352701e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.077471809004006 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) -1.227491498977622 y[1] (numeric) -1.2274914989776229 absolute error 8.881784197001252e-16 relative error 7.235719517730993e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.77025206348853 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) -1.2116403132869245 y[1] (numeric) -1.2116403132869256 absolute error 1.1102230246251565e-15 relative error 9.162975286067825e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.467772169317152 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) -1.1956679645745953 y[1] (numeric) -1.1956679645745965 absolute error 1.1102230246251565e-15 relative error 9.285379030959995e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.169864151502582 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) -1.1795760500621952 y[1] (numeric) -1.1795760500621963 absolute error 1.1102230246251565e-15 relative error 9.412051258302659e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.876366876846797 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) -1.1633661789277658 y[1] (numeric) -1.163366178927767 absolute error 1.1102230246251565e-15 relative error 9.543194952155223e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) -1.147039972144912 y[1] (numeric) -1.1470399721449134 absolute error 1.3322676295501878e-15 relative error 1.1614831757422617e-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] 0.9700000000000008 y[1] (analytic) -1.1305990623207074 y[1] (numeric) -1.1305990623207087 absolute error 1.3322676295501878e-15 relative error 1.1783731951939962e-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] 0.9800000000000008 y[1] (analytic) -1.1140450935324333 y[1] (numeric) -1.1140450935324346 absolute error 1.3322676295501878e-15 relative error 1.1958830367681174e-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] 0.9900000000000008 y[1] (analytic) -1.097379721163174 y[1] (numeric) -1.0973797211631753 absolute error 1.3322676295501878e-15 relative error 1.2140443311072335e-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] 1.0000000000000007 y[1] (analytic) -1.0806046117362784 y[1] (numeric) -1.0806046117362795 absolute error 1.1102230246251565e-15 relative error 1.0274091120537494e-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] 1.0100000000000007 y[1] (analytic) -1.0637214427487098 y[1] (numeric) -1.063721442748711 absolute error 1.1102230246251565e-15 relative error 1.0437159391619335e-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] 1.0200000000000007 y[1] (analytic) -1.046731902503298 y[1] (numeric) -1.046731902503299 absolute error 1.1102230246251565e-15 relative error 1.0606565272062667e-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] 1.0300000000000007 y[1] (analytic) -1.0296376899399096 y[1] (numeric) -1.0296376899399107 absolute error 1.1102230246251565e-15 relative error 1.0782657195561189e-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] 1.0400000000000007 y[1] (analytic) -1.0124405144655555 y[1] (numeric) -1.0124405144655568 absolute error 1.3322676295501878e-15 relative error 1.3158971915040973e-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] 1.0500000000000007 y[1] (analytic) -0.9951420957834527 y[1] (numeric) -0.995142095783454 absolute error 1.3322676295501878e-15 relative error 1.3387712520605651e-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] 1.0600000000000007 y[1] (analytic) -0.9777441637210539 y[1] (numeric) -0.9777441637210552 absolute error 1.3322676295501878e-15 relative error 1.3625932825616723e-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] 1.0700000000000007 y[1] (analytic) -0.9602484580570669 y[1] (numeric) -0.9602484580570684 absolute error 1.4432899320127035e-15 relative error 1.503038010530114e-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] 1.0800000000000007 y[1] (analytic) -0.9426567283474787 y[1] (numeric) -0.9426567283474802 absolute error 1.4432899320127035e-15 relative error 1.5310874983546323e-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] 1.0900000000000007 y[1] (analytic) -0.9249707337506005 y[1] (numeric) -0.9249707337506019 absolute error 1.4432899320127035e-15 relative error 1.5603628086268266e-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] 1.1000000000000008 y[1] (analytic) -0.9071922428511534 y[1] (numeric) -0.907192242851155 absolute error 1.5543122344752192e-15 relative error 1.713321786780579e-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] 1.1100000000000008 y[1] (analytic) -0.8893230334834124 y[1] (numeric) -0.8893230334834139 absolute error 1.5543122344752192e-15 relative error 1.7477476416944846e-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] 1.1200000000000008 y[1] (analytic) -0.871364892553423 y[1] (numeric) -0.8713648925534245 absolute error 1.5543122344752192e-15 relative error 1.7837673376081365e-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] 1.1300000000000008 y[1] (analytic) -0.8533196158603132 y[1] (numeric) -0.8533196158603148 absolute error 1.5543122344752192e-15 relative error 1.8214889305083748e-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] 1.1400000000000008 y[1] (analytic) -0.8351890079167148 y[1] (numeric) -0.8351890079167164 absolute error 1.5543122344752192e-15 relative error 1.8610305209263667e-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] 1.1500000000000008 y[1] (analytic) -0.8169748817683131 y[1] (numeric) -0.8169748817683148 absolute error 1.6653345369377348e-15 relative error 2.03841583640023e-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] 1.1600000000000008 y[1] (analytic) -0.7986790588125449 y[1] (numeric) -0.7986790588125465 absolute error 1.6653345369377348e-15 relative error 2.0851110575175348e-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] 1.1700000000000008 y[1] (analytic) -0.7803033686164589 y[1] (numeric) -0.7803033686164607 absolute error 1.7763568394002505e-15 relative error 2.276495156684861e-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] 1.1800000000000008 y[1] (analytic) -0.761849648733762 y[1] (numeric) -0.7618496487337638 absolute error 1.7763568394002505e-15 relative error 2.3316370130939324e-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] 1.1900000000000008 y[1] (analytic) -0.7433197445210643 y[1] (numeric) -0.7433197445210662 absolute error 1.887379141862766e-15 relative error 2.539121496199246e-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] 1.2000000000000008 y[1] (analytic) -0.7247155089533456 y[1] (numeric) -0.7247155089533475 absolute error 1.887379141862766e-15 relative error 2.604303507439177e-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] 1.2100000000000009 y[1] (analytic) -0.7060388024386591 y[1] (numeric) -0.706038802438661 absolute error 1.887379141862766e-15 relative error 2.6731946393650825e-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] 1.2200000000000009 y[1] (analytic) -0.6872914926320924 y[1] (numeric) -0.6872914926320943 absolute error 1.887379141862766e-15 relative error 2.746111601985275e-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] 1.2300000000000009 y[1] (analytic) -0.6684754542490036 y[1] (numeric) -0.6684754542490055 absolute error 1.887379141862766e-15 relative error 2.823408294001065e-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] 1.2400000000000009 y[1] (analytic) -0.6495925688775508 y[1] (numeric) -0.6495925688775527 absolute error 1.887379141862766e-15 relative error 2.9054814237238294e-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] 1.2500000000000009 y[1] (analytic) -0.6306447247905357 y[1] (numeric) -0.6306447247905376 absolute error 1.887379141862766e-15 relative error 2.9927771813038574e-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] 1.260000000000001 y[1] (analytic) -0.6116338167565769 y[1] (numeric) -0.6116338167565789 absolute error 1.9984014443252818e-15 relative error 3.2673167990000496e-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] 1.270000000000001 y[1] (analytic) -0.5925617458506357 y[1] (numeric) -0.5925617458506377 absolute error 1.9984014443252818e-15 relative error 3.372477987853454e-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] 1.280000000000001 y[1] (analytic) -0.5734304192639093 y[1] (numeric) -0.5734304192639113 absolute error 1.9984014443252818e-15 relative error 3.4849937798740314e-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] 1.290000000000001 y[1] (analytic) -0.5542417501131135 y[1] (numeric) -0.5542417501131155 absolute error 1.9984014443252818e-15 relative error 3.605649419080093e-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] 1.300000000000001 y[1] (analytic) -0.534997657249173 y[1] (numeric) -0.534997657249175 absolute error 1.9984014443252818e-15 relative error 3.735346159459039e-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] 1.310000000000001 y[1] (analytic) -0.5157000650653375 y[1] (numeric) -0.5157000650653395 absolute error 1.9984014443252818e-15 relative error 3.8751235062809057e-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] 1.320000000000001 y[1] (analytic) -0.4963509033047441 y[1] (numeric) -0.49635090330474607 absolute error 1.9984014443252818e-15 relative error 4.0261867783855433e-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] 1.330000000000001 y[1] (analytic) -0.47695210686744455 y[1] (numeric) -0.47695210686744655 absolute error 1.9984014443252818e-15 relative error 4.1899415382615794e-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] 1.340000000000001 y[1] (analytic) -0.45750561561691705 y[1] (numeric) -0.45750561561691905 absolute error 1.9984014443252818e-15 relative error 4.36803697290265e-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] 1.350000000000001 y[1] (analytic) -0.4380133741860813 y[1] (numeric) -0.43801337418608327 absolute error 1.9984014443252818e-15 relative error 4.562421063143841e-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] 1.360000000000001 y[1] (analytic) -0.4184773317828368 y[1] (numeric) -0.4184773317828388 absolute error 1.9984014443252818e-15 relative error 4.775411456127152e-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] 1.370000000000001 y[1] (analytic) -0.398899441995144 y[1] (numeric) -0.39889944199514604 absolute error 2.0539125955565396e-15 relative error 5.148948279505347e-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] 1.380000000000001 y[1] (analytic) -0.37928166259566676 y[1] (numeric) -0.3792816625956688 absolute error 2.0539125955565396e-15 relative error 5.415269964543773e-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] 1.390000000000001 y[1] (analytic) -0.35962595534599695 y[1] (numeric) -0.35962595534599906 absolute error 2.1094237467877974e-15 relative error 5.86560484700921e-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] 1.400000000000001 y[1] (analytic) -0.33993428580047985 y[1] (numeric) -0.33993428580048196 absolute error 2.1094237467877974e-15 relative error 6.205386849462714e-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] 1.410000000000001 y[1] (analytic) -0.32020862310966036 y[1] (numeric) -0.32020862310966247 absolute error 2.1094237467877974e-15 relative error 6.587654405750943e-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] 1.420000000000001 y[1] (analytic) -0.3004509398233695 y[1] (numeric) -0.3004509398233716 absolute error 2.1094237467877974e-15 relative error 7.020859205925251e-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] 1.430000000000001 y[1] (analytic) -0.28066321169347125 y[1] (numeric) -0.2806632116934734 absolute error 2.1649348980190553e-15 relative error 7.713639721273864e-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] 1.440000000000001 y[1] (analytic) -0.26084741747628887 y[1] (numeric) -0.2608474174762911 absolute error 2.220446049250313e-15 relative error 8.512432558210597e-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] 1.450000000000001 y[1] (analytic) -0.24100553873473102 y[1] (numeric) -0.24100553873473324 absolute error 2.220446049250313e-15 relative error 9.213257342165502e-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] 1.460000000000001 y[1] (analytic) -0.22113955964013696 y[1] (numeric) -0.2211395596401392 absolute error 2.248201624865942e-15 relative error 1.0166438011021036e-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] 1.470000000000001 y[1] (analytic) -0.20125146677386124 y[1] (numeric) -0.2012514667738635 absolute error 2.248201624865942e-15 relative error 1.117110677952058e-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] 1.480000000000001 y[1] (analytic) -0.18134324892861714 y[1] (numeric) -0.1813432489286194 absolute error 2.248201624865942e-15 relative error 1.2397492810724432e-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] 1.490000000000001 y[1] (analytic) -0.16141689690959904 y[1] (numeric) -0.16141689690960132 absolute error 2.275957200481571e-15 relative error 1.4099869617467697e-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] 1.500000000000001 y[1] (analytic) -0.1414744033354036 y[1] (numeric) -0.1414744033354059 absolute error 2.3037127760972e-15 relative error 1.6283601286061773e-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] 1.5100000000000011 y[1] (analytic) -0.12151776243876958 y[1] (numeric) -0.12151776243877188 absolute error 2.3037127760972e-15 relative error 1.8957827480225333e-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] 1.5200000000000011 y[1] (analytic) -0.10154896986715614 y[1] (numeric) -0.10154896986715846 absolute error 2.3175905639050143e-15 relative error 2.2822393638624095e-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] 1.5300000000000011 y[1] (analytic) -0.08157002248317985 y[1] (numeric) -0.08157002248318218 absolute error 2.3314683517128287e-15 relative error 2.8582416440961376e-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] 1.5400000000000011 y[1] (analytic) -0.06158291816493002 y[1] (numeric) -0.06158291816493238 absolute error 2.3592239273284576e-15 relative error 3.830971310924299e-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] 1.5500000000000012 y[1] (analytic) -0.04158965560618264 y[1] (numeric) -0.04158965560618501 absolute error 2.366162821232365e-15 relative error 5.689306118900911e-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] 1.5600000000000012 y[1] (analytic) -0.021592234116532563 y[1] (numeric) -0.02159223411653495 absolute error 2.3869795029440866e-15 relative error 1.1054805584552475e-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] 1.5700000000000012 y[1] (analytic) -0.0015926534214643062 y[1] (numeric) -0.0015926534214667082 absolute error 2.4019414929243865e-15 relative error 1.5081382179909615e-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] 1.5800000000000012 y[1] (analytic) 0.018407086537618893 y[1] (numeric) 0.018407086537616472 absolute error 2.4216739724636227e-15 relative error 1.3156204636265517e-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 0.008874468381578252 Order of pole (three term test) -0.8949050896709201 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 0.03840498580338752 y[1] (numeric) 0.03840498580338508 absolute error 2.435551760271437e-15 relative error 6.3417593037011585e-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 0.01851326600938967 Order of pole (three term test) -0.901772189378976 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 0.05839904460257985 y[1] (numeric) 0.0583990446025774 absolute error 2.4494295480792516e-15 relative error 4.194297295012674e-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 0.028144643333266314 Order of pole (three term test) -0.9134710156510109 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 0.07838726354597764 y[1] (numeric) 0.07838726354597517 absolute error 2.4702462297909733e-15 relative error 3.151336222295939e-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 0.03776474002241432 Order of pole (three term test) -0.9299968698555368 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 0.09836764382834332 y[1] (numeric) 0.09836764382834084 absolute error 2.4702462297909733e-15 relative error 2.511238587865012e-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 0.04736970029524609 Order of pole (three term test) -0.9513431147005369 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 0.11833818742829894 y[1] (numeric) 0.11833818742829644 absolute error 2.4980018054066022e-15 relative error 2.1109008509363393e-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 0.05695567447425488 Order of pole (three term test) -0.9775011769318743 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) 0.13829689730812655 y[1] (numeric) 0.13829689730812403 absolute error 2.525757381022231e-15 relative error 1.826329751559664e-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 0.06651882053836847 Order of pole (three term test) -1.0084605508186815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) 0.15824177761347039 y[1] (numeric) 0.15824177761346783 absolute error 2.55351295663786e-15 relative error 1.6136781292202139e-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 0.07605530567213967 Order of pole (three term test) -1.0442088024242429 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y[1] (analytic) 0.17817083387292057 y[1] (numeric) 0.17817083387291802 absolute error 2.55351295663786e-15 relative error 1.4331823571410907e-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 0.08556130781113587 Order of pole (three term test) -1.0847315746605615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y[1] (analytic) 0.19808207319745869 y[1] (numeric) 0.1980820731974561 absolute error 2.581268532253489e-15 relative error 1.3031308137008158e-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 0.09503301718288724 Order of pole (three term test) -1.1300125931244465 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y[1] (analytic) 0.21797350447974487 y[1] (numeric) 0.21797350447974229 absolute error 2.581268532253489e-15 relative error 1.1842120621102152e-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 0.10446663784276024 Order of pole (three term test) -1.1800336727126426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y[1] (analytic) 0.2378431385932271 y[1] (numeric) 0.23784313859322448 absolute error 2.609024107869118e-15 relative error 1.0969515973009505e-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 0.11385838920412135 Order of pole (three term test) -1.2347747250131897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y[1] (analytic) 0.25768898859105194 y[1] (numeric) 0.2576889885910493 absolute error 2.6645352591003757e-15 relative error 1.0340120754360009e-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 0.12320450756215928 Order of pole (three term test) -1.2942137664698512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y[1] (analytic) 0.27750906990475777 y[1] (numeric) 0.2775090699047551 absolute error 2.6645352591003757e-15 relative error 9.601615039158378e-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 0.13250124761074028 Order of pole (three term test) -1.3583269273161624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y[1] (analytic) 0.2973014005427299 y[1] (numeric) 0.29730140054272725 absolute error 2.6645352591003757e-15 relative error 8.962403992164891e-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 0.14174488395166784 Order of pole (three term test) -1.4270884612752712 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y[1] (analytic) 0.3170640012883981 y[1] (numeric) 0.31706400128839546 absolute error 2.6645352591003757e-15 relative error 8.40377730765071e-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 0.15093171259572805 Order of pole (three term test) -1.5004707560214683 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y[1] (analytic) 0.33679489589815664 y[1] (numeric) 0.3367948958981539 absolute error 2.7200464103316335e-15 relative error 8.076269692501955e-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 0.16005805245490146 Order of pole (three term test) -1.5784443443989504 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y[1] (analytic) 0.3564921112989868 y[1] (numeric) 0.35649211129898406 absolute error 2.7200464103316335e-15 relative error 7.630032542432207e-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 0.16912024682512733 Order of pole (three term test) -1.660977916393046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y[1] (analytic) 0.37615367778576286 y[1] (numeric) 0.3761536777857601 absolute error 2.7755575615628914e-15 relative error 7.378786186277039e-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 0.17811466485901056 Order of pole (three term test) -1.748038331848822 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y[1] (analytic) 0.39577762921822063 y[1] (numeric) 0.3957776292182179 absolute error 2.7200464103316335e-15 relative error 6.872663358220979e-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 0.1870377030278668 Order of pole (three term test) -1.8395906339316739 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y[1] (analytic) 0.4153620032175702 y[1] (numeric) 0.41536200321756744 absolute error 2.7755575615628914e-15 relative error 6.682261593651431e-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 0.1958857865725053 Order of pole (three term test) -1.9355980633241854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y[1] (analytic) 0.4349048413627319 y[1] (numeric) 0.4349048413627291 absolute error 2.7755575615628914e-15 relative error 6.381988190487722e-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 0.20465537094215178 Order of pole (three term test) -2.0360220731532146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y[1] (analytic) 0.45440418938617677 y[1] (numeric) 0.454404189386174 absolute error 2.7755575615628914e-15 relative error 6.108124938971624e-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 0.21334294322092445 Order of pole (three term test) -2.1408223446409056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y[1] (analytic) 0.47385809736935197 y[1] (numeric) 0.47385809736934914 absolute error 2.831068712794149e-15 relative error 5.974507407409465e-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 0.22194502354127854 Order of pole (three term test) -2.249956803472989 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y[1] (analytic) 0.4932646199376706 y[1] (numeric) 0.4932646199376678 absolute error 2.831068712794149e-15 relative error 5.73945220955009e-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 0.23045816648383566 Order of pole (three term test) -2.3633816368773912 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y[1] (analytic) 0.512621816455048 y[1] (numeric) 0.5126218164550451 absolute error 2.886579864025407e-15 relative error 5.631012515204827e-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 0.2388789624630327 Order of pole (three term test) -2.481051311405986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y[1] (analytic) 0.5319277512179633 y[1] (numeric) 0.5319277512179604 absolute error 2.886579864025407e-15 relative error 5.426638970078098e-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 0.24720403909801902 Order of pole (three term test) -2.602918591411918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 0.5511804936490284 y[1] (numeric) 0.5511804936490255 absolute error 2.886579864025407e-15 relative error 5.237086394177577e-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 0.2554300625682415 Order of pole (three term test) -2.7289345582146747 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y[1] (analytic) 0.5703781184900443 y[1] (numeric) 0.5703781184900413 absolute error 2.9976021664879227e-15 relative error 5.255464873763814e-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 0.2635537389531722 Order of pole (three term test) -2.859048629944887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y[1] (analytic) 0.5895187059945245 y[1] (numeric) 0.5895187059945216 absolute error 2.886579864025407e-15 relative error 4.896502578583516e-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 0.2715718155556203 Order of pole (three term test) -2.993208582060332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y[1] (analytic) 0.6086003421196694 y[1] (numeric) 0.6086003421196664 absolute error 2.9976021664879227e-15 relative error 4.925403354273013e-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 0.2794810822081011 Order of pole (three term test) -3.131360568524605 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y[1] (analytic) 0.6276211187177675 y[1] (numeric) 0.6276211187177645 absolute error 2.9976021664879227e-15 relative error 4.776133366276833e-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 0.28727837256172556 Order of pole (three term test) -3.2734491436394726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y[1] (analytic) 0.6465791337270096 y[1] (numeric) 0.6465791337270066 absolute error 2.9976021664879227e-15 relative error 4.636094810559618e-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 0.29496056535708703 Order of pole (three term test) -3.419417284521679 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y[1] (analytic) 0.6654724913616933 y[1] (numeric) 0.6654724913616902 absolute error 3.1086244689504383e-15 relative error 4.671304237669621e-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 0.30252458567663315 Order of pole (three term test) -3.569206414214798 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y[1] (analytic) 0.6842993023017993 y[1] (numeric) 0.6842993023017961 absolute error 3.1086244689504383e-15 relative error 4.5427847997124354e-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 0.30996740617800966 Order of pole (three term test) -3.722756425426299 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y[1] (analytic) 0.7030576838819226 y[1] (numeric) 0.7030576838819195 absolute error 3.1086244689504383e-15 relative error 4.4215781154488125e-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 0.31728604830788615 Order of pole (three term test) -3.8800057048799785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y[1] (analytic) 0.7217457602795372 y[1] (numeric) 0.7217457602795341 absolute error 3.1086244689504383e-15 relative error 4.3070907236731757e-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 0.3244775834957641 Order of pole (three term test) -4.040891158273372 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y[1] (analytic) 0.7403616627025766 y[1] (numeric) 0.7403616627025735 absolute error 3.1086244689504383e-15 relative error 4.1987917872501417e-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 0.331539134327293 Order of pole (three term test) -4.205348235829766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y[1] (analytic) 0.7589035295763118 y[1] (numeric) 0.7589035295763087 absolute error 3.1086244689504383e-15 relative error 4.0962050482041533e-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 0.3384678756966183 Order of pole (three term test) -4.373310958434025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 0.7773695067295069 y[1] (numeric) 0.7773695067295038 absolute error 3.1086244689504383e-15 relative error 3.9989019919610943e-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 0.34526103593730045 Order of pole (three term test) -4.544711944341315 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 0.7957577475798348 y[1] (numeric) 0.7957577475798316 absolute error 3.1086244689504383e-15 relative error 3.906496013899713e-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 0.3519158979313488 Order of pole (three term test) -4.719482436447492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 0.8140664133185339 y[1] (numeric) 0.8140664133185308 absolute error 3.1086244689504383e-15 relative error 3.818637420844032e-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 0.35842980019592957 Order of pole (three term test) -4.89755233010979 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y[1] (analytic) 0.8322936730942871 y[1] (numeric) 0.8322936730942845 absolute error 2.6645352591003757e-15 relative error 3.2014363982778007e-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 0.3648001379473069 Order of pole (three term test) -5.078850201506021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y[1] (analytic) 0.8504377041963068 y[1] (numeric) 0.8504377041963045 absolute error 2.3314683517128287e-15 relative error 2.7414922224269764e-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 0.3710243641416041 Order of pole (three term test) -5.263303336520731 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y[1] (analytic) 0.8684966922366025 y[1] (numeric) 0.8684966922366005 absolute error 1.9984014443252818e-15 relative error 2.300989125449498e-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 0.3770999904919557 Order of pole (three term test) -5.4508377601458635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y[1] (analytic) 0.8864688313314194 y[1] (numeric) 0.8864688313314179 absolute error 1.5543122344752192e-15 relative error 1.7533749405951946e-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 0.38302458846165965 Order of pole (three term test) -5.64137826638401 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y[1] (analytic) 0.9043523242818248 y[1] (numeric) 0.9043523242818235 absolute error 1.2212453270876722e-15 relative error 1.3504087890275533e-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 0.3887957902329273 Order of pole (three term test) -5.834848448641552 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y[1] (analytic) 0.9221453827534263 y[1] (numeric) 0.9221453827534255 absolute error 7.771561172376096e-16 relative error 8.427696237193158e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3944112896508517 Order of pole (three term test) -6.031170730599169 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.06 y[1] (analytic) 0.9398462274552044 y[1] (numeric) 0.939846227455204 absolute error 4.440892098500626e-16 relative error 4.725126269352707e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39986884314222026 Order of pole (three term test) -6.230266397546771 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.07 y[1] (analytic) 0.9574530883174396 y[1] (numeric) 0.9574530883174396 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4051662706088129 Order of pole (three term test) -6.43205562816998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y[1] (analytic) 0.974964204668718 y[1] (numeric) 0.9749642046687184 absolute error 3.3306690738754696e-16 relative error 3.4161962643615144e-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 0.41030145629482817 Order of pole (three term test) -6.63645752677471 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y[1] (analytic) 0.9923778254119969 y[1] (numeric) 0.9923778254119977 absolute error 7.771561172376096e-16 relative error 7.831252344992336e-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 0.41527234962810694 Order of pole (three term test) -6.8433901559367865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y[1] (analytic) 1.0096922091997136 y[1] (numeric) 1.0096922091997147 absolute error 1.1102230246251565e-15 relative error 1.0995658028352265e-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 0.4200769660348201 Order of pole (three term test) -7.052770569562899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y[1] (analytic) 1.0269056246079176 y[1] (numeric) 1.026905624607919 absolute error 1.3322676295501878e-15 relative error 1.2973613130796323e-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 0.424713387727301 Order of pole (three term test) -7.2645148463491385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y[1] (analytic) 1.0440163503094124 y[1] (numeric) 1.0440163503094142 absolute error 1.7763568394002505e-15 relative error 1.7014645784750365e-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 0.4291797644647234 Order of pole (three term test) -7.478538123623476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y[1] (analytic) 1.0610226752458873 y[1] (numeric) 1.0610226752458893 absolute error 1.9984014443252818e-15 relative error 1.883467234912921e-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 0.433474314286327 Order of pole (three term test) -7.694754631558116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y[1] (analytic) 1.0779228987990201 y[1] (numeric) 1.0779228987990226 absolute error 2.4424906541753444e-15 relative error 2.2659233391336918e-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 0.437595324216908 Order of pole (three term test) -7.9130777277375355 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y[1] (analytic) 1.094715330960539 y[1] (numeric) 1.094715330960542 absolute error 2.886579864025407e-15 relative error 2.636831496177757e-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 0.4415411509443062 Order of pole (three term test) -8.133419932068065 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y[1] (analytic) 1.1113982925012218 y[1] (numeric) 1.111398292501225 absolute error 3.1086244689504383e-15 relative error 2.797039090238679e-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 0.4453102214686289 Order of pole (three term test) -8.35569296201466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y[1] (analytic) 1.1279701151388164 y[1] (numeric) 1.12797011513882 absolute error 3.552713678800501e-15 relative error 3.149652310037733e-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 0.4489010337229652 Order of pole (three term test) -8.579807768150248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y[1] (analytic) 1.1444291417048693 y[1] (numeric) 1.144429141704873 absolute error 3.774758283725532e-15 relative error 3.298376584593286e-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 0.4523121571653566 Order of pole (three term test) -8.80567457000324 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y[1] (analytic) 1.1607737263104394 y[1] (numeric) 1.1607737263104436 absolute error 4.218847493575595e-15 relative error 3.6345132543491933e-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 0.4555422333417981 Order of pole (three term test) -9.0332028921882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y[1] (analytic) 1.1770022345106868 y[1] (numeric) 1.1770022345106912 absolute error 4.440892098500626e-15 relative error 3.773053243477342e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.830019744091002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.45858997642006555 Order of pole (three term test) -9.26230160080532 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y[1] (analytic) 1.1931130434683148 y[1] (numeric) 1.1931130434683197 absolute error 4.884981308350689e-15 relative error 4.09431556807921e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.122828980062188 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4614541736941656 Order of pole (three term test) -9.492878940093359 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y[1] (analytic) 1.2091045421158537 y[1] (numeric) 1.2091045421158588 absolute error 5.10702591327572e-15 relative error 4.2238083932252536e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.420023903190474 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46413368605922356 Order of pole (three term test) -9.724842569321325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y[1] (analytic) 1.2249751313167647 y[1] (numeric) 1.2249751313167703 absolute error 5.551115123125783e-15 relative error 4.5316145456428264e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.721764591441373 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4666274484566381 Order of pole (three term test) -9.958099599903804 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y[1] (analytic) 1.2407232240253534 y[1] (numeric) 1.2407232240253592 absolute error 5.773159728050814e-15 relative error 4.65306009935125e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.028217904630887 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46893447028933793 Order of pole (three term test) -10.192556632724665 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y[1] (analytic) 1.256347245445472 y[1] (numeric) 1.256347245445478 absolute error 5.995204332975845e-15 relative error 4.771932564591315e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.339557871251518 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47105383580699434 Order of pole (three term test) -10.428119795654192 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y[1] (analytic) 1.2718456331879986 y[1] (numeric) 1.271845633188005 absolute error 6.439293542825908e-15 relative error 5.062952118399168e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.65596610144359 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4729847044610516 Order of pole (three term test) -10.664694781244089 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y[1] (analytic) 1.2872168374270743 y[1] (numeric) 1.287216837427081 absolute error 6.661338147750939e-15 relative error 5.17499301909833e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.977632228217344 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.474726311229453 Order of pole (three term test) -10.902186884585332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y[1] (analytic) 1.3024593210550843 y[1] (numeric) 1.3024593210550914 absolute error 7.105427357601002e-15 relative error 5.455392919177777e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.30475437922631 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4762779669109482 Order of pole (three term test) -11.140501041313287 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y[1] (analytic) 1.3175715598363682 y[1] (numeric) 1.3175715598363755 absolute error 7.327471962526033e-15 relative error 5.56134648461602e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.637539681608544 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4776390583888867 Order of pole (three term test) -11.37954186574483 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y[1] (analytic) 1.3325520425596409 y[1] (numeric) 1.3325520425596487 absolute error 7.771561172376096e-15 relative error 5.832088296865348e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.97620480265129 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47880904886440695 Order of pole (three term test) -11.619213689131941 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y[1] (analytic) 1.347399271189114 y[1] (numeric) 1.347399271189122 absolute error 7.993605777301127e-15 relative error 5.932618451134063e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.32097652929946 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47978747805895033 Order of pole (three term test) -11.859420598016396 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y[1] (analytic) 1.3621117610142972 y[1] (numeric) 1.3621117610143056 absolute error 8.43769498715119e-15 relative error 6.194568778165498e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.67209238982252 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4805739623860377 Order of pole (three term test) -12.100066472670058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y[1] (analytic) 1.3766880407984683 y[1] (numeric) 1.3766880407984772 absolute error 8.881784197001252e-15 relative error 6.451559056073362e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.02980132128031 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4811681950922577 Order of pole (three term test) -12.3410550256052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y[1] (analytic) 1.3911266529257957 y[1] (numeric) 1.391126652925805 absolute error 9.325873406851315e-15 relative error 6.703827712047127e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.39436438679251 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48156994636743294 Order of pole (three term test) -12.582289840139438 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y[1] (analytic) 1.405426153547099 y[1] (numeric) 1.4054261535471086 absolute error 9.547918011776346e-15 relative error 6.793610598236511e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.766055547019743 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4817790634239389 Order of pole (three term test) -12.823674408999718 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y[1] (analytic) 1.4195851127242323 y[1] (numeric) 1.419585112724242 absolute error 9.769962616701378e-15 relative error 6.882266184063093e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.145162490716583 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48179547054516353 Order of pole (three term test) -13.065112172949945 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y[1] (analytic) 1.4336021145730766 y[1] (numeric) 1.4336021145730866 absolute error 9.992007221626409e-15 relative error 6.969860828227088e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.45526533957687 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48161916910310965 Order of pole (three term test) -13.306506559426595 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y[1] (analytic) 1.447475757405128 y[1] (numeric) 1.4474757574051385 absolute error 1.0436096431476471e-14 relative error 7.209859217390371e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.069748975804067 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4812502375451523 Order of pole (three term test) -13.547761021167009 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y[1] (analytic) 1.4612046538676648 y[1] (numeric) 1.4612046538676755 absolute error 1.0658141036401503e-14 relative error 7.294078217031716e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.691515117292617 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4806888313499766 Order of pole (three term test) -13.788779074814867 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y[1] (analytic) 1.4747874310824813 y[1] (numeric) 1.4747874310824922 absolute error 1.0880185641326534e-14 relative error 7.377460244111635e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.320285793468468 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4799351829527357 Order of pole (three term test) -14.02946433948729 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y[1] (analytic) 1.488222730783175 y[1] (numeric) 1.4882227307831861 absolute error 1.1102230246251565e-14 relative error 7.460059584232417e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.9557959866648 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4789896016394763 Order of pole (three term test) -14.26972057528845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y[1] (analytic) 1.5015092094509719 y[1] (numeric) 1.5015092094509832 absolute error 1.1324274851176597e-14 relative error 7.541928334437141e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.59779286390787 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47785247341089676 Order of pole (three term test) -14.509451721754068 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y[1] (analytic) 1.5146455384490771 y[1] (numeric) 1.5146455384490887 absolute error 1.1546319456101628e-14 relative error 7.62311653981069e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.24603506219555 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47652426081551097 Order of pole (three term test) -14.748561936211733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y[1] (analytic) 1.5276304041555377 y[1] (numeric) 1.5276304041555497 absolute error 1.199040866595169e-14 relative error 7.849024628820408e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.900292022956116 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47500550275230335 Order of pole (three term test) -14.986955632041594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y[1] (analytic) 1.5404625080946042 y[1] (numeric) 1.5404625080946164 absolute error 1.2212453270876722e-14 relative error 7.927783510928992e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.560343371767242 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47329681424297804 Order of pole (three term test) -15.224537516822409 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y[1] (analytic) 1.5531405670665754 y[1] (numeric) 1.5531405670665879 absolute error 1.2434497875801753e-14 relative error 8.006035087530328e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.22597833976715 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4713988861739058 Order of pole (three term test) -15.461212630347855 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y[1] (analytic) 1.5656633132761197 y[1] (numeric) 1.5656633132761324 absolute error 1.2656542480726785e-14 relative error 8.083821325699469e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.896995223508176 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46931248500789957 Order of pole (three term test) -15.696886382497711 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y[1] (analytic) 1.5780294944590514 y[1] (numeric) 1.5780294944590643 absolute error 1.2878587085651816e-14 relative error 8.161182747770248e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.573200880287127 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46703845246594455 Order of pole (three term test) -15.931464590949561 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y[1] (analytic) 1.5902378740075573 y[1] (numeric) 1.5902378740075704 absolute error 1.3100631690576847e-14 relative error 8.238158519996731e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.254410256246732 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4645777051790352 Order of pole (three term test) -16.164853518715468 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y[1] (analytic) 1.6022872310938563 y[1] (numeric) 1.6022872310938696 absolute error 1.3322676295501878e-14 relative error 8.314786535749084e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.940445944773503 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4619312343102737 Order of pole (three term test) -16.39695991148932 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y[1] (analytic) 1.6141763607922808 y[1] (numeric) 1.6141763607922943 absolute error 1.354472090042691e-14 relative error 8.39110349365964e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.63113777292888 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.45910010514739913 Order of pole (three term test) -16.627691034789873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y[1] (analytic) 1.6259040741997686 y[1] (numeric) 1.6259040741997823 absolute error 1.3766765505351941e-14 relative error 8.467144971100227e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.456085456665929 Order of pole (three term test) -16.85695471088499 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y[1] (analytic) 1.637469198554752 y[1] (numeric) 1.637469198554766 absolute error 1.3988810110276972e-14 relative error 8.542945493340362e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4528885010631033 Order of pole (three term test) -17.084659355482593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y[1] (analytic) 1.648870577354433 y[1] (numeric) 1.6488705773544472 absolute error 1.4210854715202004e-14 relative error 8.618538598707319e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44951052326283714 Order of pole (three term test) -17.31071401417381 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y[1] (analytic) 1.6601070704704328 y[1] (numeric) 1.6601070704704473 absolute error 1.4432899320127035e-14 relative error 8.693956900043268e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44595288039189196 Order of pole (three term test) -17.535028398614298 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y[1] (analytic) 1.6711775542628036 y[1] (numeric) 1.6711775542628182 absolute error 1.4654943925052066e-14 relative error 8.769232142731066e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44221700122749547 Order of pole (three term test) -17.757512922429243 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y[1] (analytic) 1.6820809216923913 y[1] (numeric) 1.6820809216924062 absolute error 1.4876988529977098e-14 relative error 8.844395259538952e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43830438561664137 Order of pole (three term test) -17.97807873682837 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y[1] (analytic) 1.6928160824315392 y[1] (numeric) 1.6928160824315543 absolute error 1.509903313490213e-14 relative error 8.919476422514885e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4342166038673214 Order of pole (three term test) -18.196637765916748 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y[1] (analytic) 1.7033819629731195 y[1] (numeric) 1.7033819629731348 absolute error 1.532107773982716e-14 relative error 8.994505092143527e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4299552961119409 Order of pole (three term test) -18.413102741687933 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y[1] (analytic) 1.7137775067378826 y[1] (numeric) 1.7137775067378982 absolute error 1.554312234475219e-14 relative error 9.069510063962736e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.425522171643193 Order of pole (three term test) -18.627387238685515 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y[1] (analytic) 1.7240016741801152 y[1] (numeric) 1.724001674180131 absolute error 1.5765166949677223e-14 relative error 9.14451951282163e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42091900822266254 Order of pole (three term test) -18.839405708319887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y[1] (analytic) 1.734053442891593 y[1] (numeric) 1.734053442891609 absolute error 1.5987211554602254e-14 relative error 9.219561034948864e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41614765136245496 Order of pole (three term test) -19.049073512826734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y[1] (analytic) 1.7439318077038213 y[1] (numeric) 1.7439318077038375 absolute error 1.6209256159527285e-14 relative error 9.294661687987381e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41121001358014636 Order of pole (three term test) -19.256306958854132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y[1] (analytic) 1.753635780788551 y[1] (numeric) 1.7536357807885674 absolute error 1.6431300764452317e-14 relative error 9.369848029140758e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4061080736273622 Order of pole (three term test) -19.46102333066521 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y[1] (analytic) 1.76316439175656 y[1] (numeric) 1.7631643917565767 absolute error 1.6653345369377348e-14 relative error 9.445146151565812e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40084387569230595 Order of pole (three term test) -19.66314092294364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y[1] (analytic) 1.772516687754692 y[1] (numeric) 1.7725166877547092 absolute error 1.709743457922741e-14 relative error 9.645852531230789e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3954195285765659 Order of pole (three term test) -19.862579073189096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y[1] (analytic) 1.7816917335611413 y[1] (numeric) 1.7816917335611584 absolute error 1.709743457922741e-14 relative error 9.59617999969841e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38983720484653456 Order of pole (three term test) -20.059258193690496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y[1] (analytic) 1.7906886116789722 y[1] (numeric) 1.7906886116789897 absolute error 1.7541523789077473e-14 relative error 9.795965459695597e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.384099139959796 Order of pole (three term test) -20.253099803064195 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y[1] (analytic) 1.799506422427871 y[1] (numeric) 1.7995064224278887 absolute error 1.7763568394002505e-14 relative error 9.871355929942237e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.378207631366827 Order of pole (three term test) -20.444026557345563 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y[1] (analytic) 1.8081442840341106 y[1] (numeric) 1.8081442840341286 absolute error 1.7985612998927536e-14 relative error 9.94700099861513e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3721650375883891 Order of pole (three term test) -20.631962280621593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y[1] (analytic) 1.8166013327187287 y[1] (numeric) 1.816601332718747 absolute error 1.8207657603852567e-14 relative error 1.0022924279485668e-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 0.3659737772689778 Order of pole (three term test) -20.816831995192885 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y[1] (analytic) 1.8248767227839044 y[1] (numeric) 1.8248767227839227 absolute error 1.8207657603852567e-14 relative error 9.977472656934458e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3596363282067169 Order of pole (three term test) -20.99856195125352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y[1] (analytic) 1.8329696266975273 y[1] (numeric) 1.8329696266975457 absolute error 1.84297022087776e-14 relative error 1.0054559519342667e-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 0.3531552263600885 Order of pole (three term test) -21.17707965607731 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y[1] (analytic) 1.84087923517595 y[1] (numeric) 1.8408792351759686 absolute error 1.865174681370263e-14 relative error 1.0131977403677926e-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 0.3465330648319009 Order of pole (three term test) -21.352313902699322 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y[1] (analytic) 1.8486047572649158 y[1] (numeric) 1.8486047572649347 absolute error 1.887379141862766e-14 relative error 1.0209749458046503e-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 0.33977249283090244 Order of pole (three term test) -21.5241947980817 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y[1] (analytic) 1.8561454204186543 y[1] (numeric) 1.8561454204186731 absolute error 1.887379141862766e-14 relative error 1.0168271952728074e-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 0.33287621461145683 Order of pole (three term test) -21.69265379075306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y[1] (analytic) 1.8635004705771334 y[1] (numeric) 1.8635004705771525 absolute error 1.9095836023552692e-14 relative error 1.0247293373442851e-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 0.3258469883917098 Order of pole (three term test) -21.85762369791079 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y[1] (analytic) 1.8706691722414668 y[1] (numeric) 1.870669172241486 absolute error 1.9317880628477724e-14 relative error 1.0326722070974592e-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 0.31868762525067273 Order of pole (three term test) -22.019038731976075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y[1] (analytic) 1.8776508085474617 y[1] (numeric) 1.8776508085474812 absolute error 1.9539925233402755e-14 relative error 1.0406581002416905e-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 0.31140098800467386 Order of pole (three term test) -22.17683452659138 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y[1] (analytic) 1.8844446813373057 y[1] (numeric) 1.8844446813373255 absolute error 1.9761969838327786e-14 relative error 1.0486893053450422e-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 0.30398999006361316 Order of pole (three term test) -22.330948162050653 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y[1] (analytic) 1.8910501112293814 y[1] (numeric) 1.8910501112294011 absolute error 1.9761969838327786e-14 relative error 1.0450262381191173e-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 0.2964575942674875 Order of pole (three term test) -22.48131819015242 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y[1] (analytic) 1.897466437686204 y[1] (numeric) 1.8974664376862238 absolute error 1.9761969838327786e-14 relative error 1.0414924578284398e-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 0.28880681170363853 Order of pole (three term test) -22.627884658466485 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y[1] (analytic) 1.9036930190804746 y[1] (numeric) 1.9036930190804946 absolute error 1.9984014443252818e-14 relative error 1.049749841122259e-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 0.2810407005052025 Order of pole (three term test) -22.77058913400488 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y[1] (analytic) 1.909729232759243 y[1] (numeric) 1.909729232759263 absolute error 1.9984014443252818e-14 relative error 1.0464318239701039e-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 0.2731623646312278 Order of pole (three term test) -22.9093747262882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y[1] (analytic) 1.915574475106171 y[1] (numeric) 1.9155744751061912 absolute error 2.020605904817785e-14 relative error 1.0548302512257021e-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 0.2651749526289518 Order of pole (three term test) -23.04418610979856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y[1] (analytic) 1.9212281616018951 y[1] (numeric) 1.9212281616019156 absolute error 2.042810365310288e-14 relative error 1.063283583979437e-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 0.25708165637871977 Order of pole (three term test) -23.174969545810626 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y[1] (analytic) 1.9266897268824772 y[1] (numeric) 1.9266897268824978 absolute error 2.0650148258027912e-14 relative error 1.0717941747393515e-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 0.24888570982204408 Order of pole (three term test) -23.3016729035925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y[1] (analytic) 1.9319586247959406 y[1] (numeric) 1.9319586247959613 absolute error 2.0650148258027912e-14 relative error 1.0688711441845212e-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 0.24059038767330337 Order of pole (three term test) -23.42424568096847 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y[1] (analytic) 1.9370343284568845 y[1] (numeric) 1.9370343284569052 absolute error 2.0650148258027912e-14 relative error 1.0660703300224219e-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 0.23219900411558989 Order of pole (three term test) -23.542639024235836 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y[1] (analytic) 1.9419163302991724 y[1] (numeric) 1.9419163302991933 absolute error 2.0872192862952943e-14 relative error 1.0748245193312404e-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 0.2237149114812163 Order of pole (three term test) -23.656805747428255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y[1] (analytic) 1.9466041421266889 y[1] (numeric) 1.9466041421267097 absolute error 2.0872192862952943e-14 relative error 1.0722361270715174e-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 0.2151414989174014 Order of pole (three term test) -23.766700350918423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y[1] (analytic) 1.9510972951621572 y[1] (numeric) 1.9510972951621783 absolute error 2.1094237467877974e-14 relative error 1.0811473892246267e-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 0.206482191037655 Order of pole (three term test) -23.872279039353025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y[1] (analytic) 1.9553953400940185 y[1] (numeric) 1.9553953400940396 absolute error 2.1094237467877974e-14 relative error 1.0787709797274923e-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 0.19774044655939355 Order of pole (three term test) -23.973499738913258 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y[1] (analytic) 1.959497847121361 y[1] (numeric) 1.9594978471213822 absolute error 2.1094237467877974e-14 relative error 1.0765124084656118e-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 0.1889197569283196 Order of pole (three term test) -24.07032211389434 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y[1] (analytic) 1.963404405996901 y[1] (numeric) 1.963404405996922 absolute error 2.1094237467877974e-14 relative error 1.0743704864595925e-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 0.18002364493009892 Order of pole (three term test) -24.162707582597825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y[1] (analytic) 1.967114626068006 y[1] (numeric) 1.967114626068027 absolute error 2.1094237467877974e-14 relative error 1.0723440916121131e-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 0.1710556632898801 Order of pole (three term test) -24.250619332530842 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y[1] (analytic) 1.970628136315761 y[1] (numeric) 1.970628136315782 absolute error 2.1094237467877974e-14 relative error 1.0704321672436513e-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 0.1620193932602058 Order of pole (three term test) -24.33402233490634 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y[1] (analytic) 1.973944585392069 y[1] (numeric) 1.97394458539209 absolute error 2.1094237467877974e-14 relative error 1.0686337207226206e-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 0.15291844319786116 Order of pole (three term test) -24.412883358439075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y[1] (analytic) 1.977063641654786 y[1] (numeric) 1.9770636416548073 absolute error 2.1316282072803006e-14 relative error 1.0781788518937839e-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 0.14375644713021565 Order of pole (three term test) -24.487170982432144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y[1] (analytic) 1.9799849932008853 y[1] (numeric) 1.9799849932009066 absolute error 2.1316282072803006e-14 relative error 1.0765880623338795e-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 0.13453706331161822 Order of pole (three term test) -24.55685560914899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y[1] (analytic) 1.9827083478976464 y[1] (numeric) 1.9827083478976677 absolute error 2.1316282072803006e-14 relative error 1.0751093117354152e-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 0.1252639727704056 Order of pole (three term test) -24.621909475466534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y[1] (analytic) 1.9852334334118693 y[1] (numeric) 1.9852334334118906 absolute error 2.1316282072803006e-14 relative error 1.0737418438580463e-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 0.11594087784708727 Order of pole (three term test) -24.682306663804752 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y[1] (analytic) 1.9875599972371065 y[1] (numeric) 1.987559997237128 absolute error 2.1538326677728037e-14 relative error 1.0836566799325965e-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 0.1065715007242784 Order of pole (three term test) -24.73802311232888 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y[1] (analytic) 1.9896878067189148 y[1] (numeric) 1.9896878067189363 absolute error 2.1538326677728037e-14 relative error 1.0824977971416386e-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 0.0971595819489492 Order of pole (three term test) -24.789036624420184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y[1] (analytic) 1.9916166490781186 y[1] (numeric) 1.9916166490781402 absolute error 2.1538326677728037e-14 relative error 1.0814494188777603e-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 0.08770887894756335 Order of pole (three term test) -24.835326877411994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y[1] (analytic) 1.9933463314320896 y[1] (numeric) 1.9933463314321114 absolute error 2.1760371282653068e-14 relative error 1.09165030378939e-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 0.07822316453468393 Order of pole (three term test) -24.8768754305875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y[1] (analytic) 1.994876680814034 y[1] (numeric) 1.9948766808140557 absolute error 2.1760371282653068e-14 relative error 1.090812855347704e-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 0.06870622541562325 Order of pole (three term test) -24.913665732436517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y[1] (analytic) 1.9962075441902887 y[1] (numeric) 1.9962075441903102 absolute error 2.1538326677728037e-14 relative error 1.0789622922933355e-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 0.05916186068371654 Order of pole (three term test) -24.945683127168348 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y[1] (analytic) 1.9973387884756248 y[1] (numeric) 1.9973387884756466 absolute error 2.1760371282653068e-14 relative error 1.0894682168196739e-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 0.049593880312803575 Order of pole (three term test) -24.972914860478436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y[1] (analytic) 1.9982703005465572 y[1] (numeric) 1.9982703005465787 absolute error 2.1538326677728037e-14 relative error 1.0778485108764804e-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 0.04000610364549957 Order of pole (three term test) -24.995350084566578 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y[1] (analytic) 1.9990019872526543 y[1] (numeric) 1.999001987252676 absolute error 2.1760371282653068e-14 relative error 1.088561763390722e-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 0.030402357877842158 Order of pole (three term test) -25.01297986240484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y[1] (analytic) 1.9995337754258558 y[1] (numeric) 1.9995337754258775 absolute error 2.1760371282653068e-14 relative error 1.0882722537666861e-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 0.020786476540900222 Order of pole (three term test) -25.025797171253558 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y[1] (analytic) 1.999865611887787 y[1] (numeric) 1.9998656118878089 absolute error 2.1760371282653068e-14 relative error 1.0880916774258754e-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 0.011162297979932565 Order of pole (three term test) -25.03379690542423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y[1] (analytic) 1.999997463455079 y[1] (numeric) 1.9999974634551008 absolute error 2.1760371282653068e-14 relative error 1.088019944038385e-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 0.0015336638316842946 Order of pole (three term test) -25.03697587828805 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y[1] (analytic) 1.9999293169426844 y[1] (numeric) 1.9999293169427061 absolute error 2.1760371282653068e-14 relative error 1.0880570177309268e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1599999999999766 y[1] (analytic) 1.9996611791651975 y[1] (numeric) 1.9996611791652195 absolute error 2.19824158875781e-14 relative error 1.0993070284414453e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1699999999999764 y[1] (analytic) 1.999193076936173 y[1] (numeric) 1.999193076936195 absolute error 2.19824158875781e-14 relative error 1.0995644263267884e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.179999999999976 y[1] (analytic) 1.9985250570654436 y[1] (numeric) 1.9985250570654656 absolute error 2.19824158875781e-14 relative error 1.0999319628174302e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.189999999999976 y[1] (analytic) 1.9976571863544397 y[1] (numeric) 1.9976571863544617 absolute error 2.19824158875781e-14 relative error 1.1004098219521941e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1999999999999758 y[1] (analytic) 1.996589551589509 y[1] (numeric) 1.9965895515895309 absolute error 2.19824158875781e-14 relative error 1.100998243233199e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2099999999999755 y[1] (analytic) 1.9953222595332385 y[1] (numeric) 1.9953222595332603 absolute error 2.1760371282653068e-14 relative error 1.0905692641219482e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2199999999999753 y[1] (analytic) 1.9938554369137778 y[1] (numeric) 1.9938554369137995 absolute error 2.1760371282653068e-14 relative error 1.0913715648480123e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.229999999999975 y[1] (analytic) 1.9921892304121662 y[1] (numeric) 1.992189230412188 absolute error 2.1760371282653068e-14 relative error 1.0922843548426893e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.239999999999975 y[1] (analytic) 1.9903238066476656 y[1] (numeric) 1.9903238066476874 absolute error 2.1760371282653068e-14 relative error 1.0933080943901492e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2499999999999747 y[1] (analytic) 1.9882593521610978 y[1] (numeric) 1.9882593521611196 absolute error 2.1760371282653068e-14 relative error 1.0944433008199398e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2599999999999745 y[1] (analytic) 1.9859960733961914 y[1] (numeric) 1.985996073396213 absolute error 2.1538326677728037e-14 relative error 1.0845100333403983e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2699999999999743 y[1] (analytic) 1.9835341966789364 y[1] (numeric) 1.983534196678958 absolute error 2.1538326677728037e-14 relative error 1.08585608021228e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.279999999999974 y[1] (analytic) 1.9808739681949534 y[1] (numeric) 1.9808739681949747 absolute error 2.1316282072803006e-14 relative error 1.0761049120266445e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.289999999999974 y[1] (analytic) 1.9780156539648734 y[1] (numeric) 1.9780156539648948 absolute error 2.1316282072803006e-14 relative error 1.0776599280230748e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2999999999999736 y[1] (analytic) 1.9749595398177382 y[1] (numeric) 1.9749595398177593 absolute error 2.1094237467877974e-14 relative error 1.0680845375609408e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3099999999999734 y[1] (analytic) 1.971705931362415 y[1] (numeric) 1.971705931362436 absolute error 2.1094237467877974e-14 relative error 1.0698470361298866e-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) 1.9682551539570385 y[1] (numeric) 1.9682551539570596 absolute error 2.1094237467877974e-14 relative error 1.0717227096024361e-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) 1.9646075526764735 y[1] (numeric) 1.9646075526764946 absolute error 2.1094237467877974e-14 relative error 1.0737125304817414e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3399999999999728 y[1] (analytic) 1.9607634922778083 y[1] (numeric) 1.9607634922778294 absolute error 2.1094237467877974e-14 relative error 1.075817534901821e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3499999999999726 y[1] (analytic) 1.9567233571638796 y[1] (numeric) 1.9567233571639004 absolute error 2.0872192862952943e-14 relative error 1.0666910468736666e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3599999999999723 y[1] (analytic) 1.9524875513448317 y[1] (numeric) 1.9524875513448525 absolute error 2.0872192862952943e-14 relative error 1.069005169768003e-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) 1.9480564983977169 y[1] (numeric) 1.9480564983977378 absolute error 2.0872192862952943e-14 relative error 1.0714367309223523e-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) 1.9434306414241374 y[1] (numeric) 1.9434306414241582 absolute error 2.0872192862952943e-14 relative error 1.0739870216133823e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3899999999999717 y[1] (analytic) 1.9386104430059357 y[1] (numeric) 1.9386104430059563 absolute error 2.0650148258027912e-14 relative error 1.0652036015037956e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3999999999999715 y[1] (analytic) 1.9335963851589366 y[1] (numeric) 1.933596385158957 absolute error 2.042810365310288e-14 relative error 1.0564823046782715e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4099999999999713 y[1] (analytic) 1.9283889692847467 y[1] (numeric) 1.9283889692847669 absolute error 2.020605904817785e-14 relative error 1.047820713041748e-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) 1.9229887161206136 y[1] (numeric) 1.9229887161206338 absolute error 2.020605904817785e-14 relative error 1.0507632665126095e-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) 1.9173961656873537 y[1] (numeric) 1.917396165687374 absolute error 2.020605904817785e-14 relative error 1.0538280721414878e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4399999999999706 y[1] (analytic) 1.91161187723535 y[1] (numeric) 1.91161187723537 absolute error 1.9984014443252818e-14 relative error 1.0454012491361218e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4499999999999704 y[1] (analytic) 1.9056364291886274 y[1] (numeric) 1.9056364291886472 absolute error 1.9761969838327786e-14 relative error 1.0370272910211913e-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) 1.8994704190870109 y[1] (numeric) 1.8994704190870306 absolute error 1.9761969838327786e-14 relative error 1.0403936612935761e-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) 1.8931144635263726 y[1] (numeric) 1.8931144635263921 absolute error 1.9539925233402755e-14 relative error 1.0321576222604644e-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) 1.8865691980969717 y[1] (numeric) 1.886569198096991 absolute error 1.9317880628477724e-14 relative error 1.0239688344304647e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4899999999999696 y[1] (analytic) 1.8798352773198967 y[1] (numeric) 1.879835277319916 absolute error 1.9317880628477724e-14 relative error 1.027636881887835e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4999999999999694 y[1] (analytic) 1.8729133745816142 y[1] (numeric) 1.8729133745816333 absolute error 1.9095836023552692e-14 relative error 1.0195792439048853e-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) 1.8658041820666293 y[1] (numeric) 1.8658041820666482 absolute error 1.887379141862766e-14 relative error 1.0115633569714908e-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) 1.8585084106882694 y[1] (numeric) 1.858508410688288 absolute error 1.865174681370263e-14 relative error 1.0035868929318026e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5299999999999687 y[1] (analytic) 1.8510267900175925 y[1] (numeric) 1.8510267900176112 absolute error 1.865174681370263e-14 relative error 1.007643266660952e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5399999999999685 y[1] (analytic) 1.8433600682104312 y[1] (numeric) 1.8433600682104496 absolute error 1.84297022087776e-14 relative error 9.997885126517633e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5499999999999683 y[1] (analytic) 1.835509011932577 y[1] (numeric) 1.8355090119325952 absolute error 1.8207657603852567e-14 relative error 9.919677585609905e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.559999999999968 y[1] (analytic) 1.8274744062831154 y[1] (numeric) 1.8274744062831334 absolute error 1.7985612998927536e-14 relative error 9.841786531778752e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.569999999999968 y[1] (analytic) 1.8192570547159157 y[1] (numeric) 1.8192570547159335 absolute error 1.7763568394002505e-14 relative error 9.764188270126762e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5799999999999677 y[1] (analytic) 1.8108577789592868 y[1] (numeric) 1.8108577789593046 absolute error 1.7763568394002505e-14 relative error 9.809477365037113e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5899999999999674 y[1] (analytic) 1.802277418933805 y[1] (numeric) 1.8022774189338227 absolute error 1.7541523789077473e-14 relative error 9.73297651337979e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5999999999999672 y[1] (analytic) 1.793516832668323 y[1] (numeric) 1.7935168326683404 absolute error 1.7319479184152442e-14 relative error 9.656714042870292e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.609999999999967 y[1] (analytic) 1.7845768962141664 y[1] (numeric) 1.7845768962141837 absolute error 1.7319479184152442e-14 relative error 9.705089884831693e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.619999999999967 y[1] (analytic) 1.7754585035575308 y[1] (numeric) 1.7754585035575479 absolute error 1.709743457922741e-14 relative error 9.629869999759978e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6299999999999666 y[1] (analytic) 1.7661625665300833 y[1] (numeric) 1.7661625665301002 absolute error 1.687538997430238e-14 relative error 9.554833906063843e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6399999999999664 y[1] (analytic) 1.7566900147177802 y[1] (numeric) 1.7566900147177966 absolute error 1.6431300764452317e-14 relative error 9.353557330427517e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.649999999999966 y[1] (analytic) 1.7470417953679087 y[1] (numeric) 1.747041795367925 absolute error 1.6209256159527285e-14 relative error 9.278115842737343e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.659999999999966 y[1] (analytic) 1.7372188732943636 y[1] (numeric) 1.7372188732943796 absolute error 1.5987211554602254e-14 relative error 9.20276183983945e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6699999999999657 y[1] (analytic) 1.7272222307811667 y[1] (numeric) 1.7272222307811826 absolute error 1.5987211554602254e-14 relative error 9.256024656058158e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6799999999999655 y[1] (analytic) 1.7170528674842387 y[1] (numeric) 1.7170528674842545 absolute error 1.5765166949677223e-14 relative error 9.181526817386673e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6899999999999653 y[1] (analytic) 1.706711800331435 y[1] (numeric) 1.7067118003314505 absolute error 1.554312234475219e-14 relative error 9.10705740813053e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.699999999999965 y[1] (analytic) 1.6962000634208534 y[1] (numeric) 1.6962000634208685 absolute error 1.509903313490213e-14 relative error 8.901681741746183e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.709999999999965 y[1] (analytic) 1.6855187079174248 y[1] (numeric) 1.6855187079174399 absolute error 1.509903313490213e-14 relative error 8.958092879050884e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7199999999999647 y[1] (analytic) 1.6746688019477989 y[1] (numeric) 1.6746688019478135 absolute error 1.4654943925052066e-14 relative error 8.750950580799604e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7299999999999645 y[1] (analytic) 1.6636514304935308 y[1] (numeric) 1.6636514304935452 absolute error 1.4432899320127035e-14 relative error 8.675434682760102e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7399999999999642 y[1] (analytic) 1.6524676952825847 y[1] (numeric) 1.6524676952825992 absolute error 1.4432899320127035e-14 relative error 8.734149152403792e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.749999999999964 y[1] (analytic) 1.6411187146791626 y[1] (numeric) 1.6411187146791766 absolute error 1.3988810110276972e-14 relative error 8.523947710273826e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.759999999999964 y[1] (analytic) 1.6296056235718668 y[1] (numeric) 1.6296056235718805 absolute error 1.3766765505351941e-14 relative error 8.447912369851255e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7699999999999636 y[1] (analytic) 1.617929573260214 y[1] (numeric) 1.6179295732602275 absolute error 1.354472090042691e-14 relative error 8.371638125838555e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.533564701308725 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7799999999999634 y[1] (analytic) 1.6060917313395051 y[1] (numeric) 1.6060917313395184 absolute error 1.3322676295501878e-14 relative error 8.295090520384264e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.841424363992722 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.789999999999963 y[1] (analytic) 1.5940932815840678 y[1] (numeric) 1.594093281584081 absolute error 1.3100631690576847e-14 relative error 8.218234053128063e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.153887416453099 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.799999999999963 y[1] (analytic) 1.5819354238288788 y[1] (numeric) 1.5819354238288916 absolute error 1.2878587085651816e-14 relative error 8.141032112727326e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.471121810061335 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8099999999999627 y[1] (analytic) 1.5696193738495818 y[1] (numeric) 1.5696193738495945 absolute error 1.2656542480726785e-14 relative error 8.063446904128028e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.793302603675023 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8199999999999625 y[1] (analytic) 1.557146363240912 y[1] (numeric) 1.5571463632409241 absolute error 1.2212453270876722e-14 relative error 7.842842239607303e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.120612368721133 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8299999999999623 y[1] (analytic) 1.5445176392935354 y[1] (numeric) 1.5445176392935474 absolute error 1.199040866595169e-14 relative error 7.763206039806785e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.453241621632433 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.839999999999962 y[1] (analytic) 1.5317344648693234 y[1] (numeric) 1.531734464869335 absolute error 1.1546319456101628e-14 relative error 7.538068588857324e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.791389285837763 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.849999999999962 y[1] (analytic) 1.5187981182750654 y[1] (numeric) 1.5187981182750767 absolute error 1.1324274851176597e-14 relative error 7.456076429721839e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.135263185710787 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8599999999999617 y[1] (analytic) 1.5057098931346409 y[1] (numeric) 1.505709893134652 absolute error 1.1102230246251565e-14 relative error 7.37341920702835e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.485080575107062 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8699999999999615 y[1] (analytic) 1.4924710982596572 y[1] (numeric) 1.4924710982596678 absolute error 1.0658141036401503e-14 relative error 7.141271310935109e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.841068703369324 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8799999999999613 y[1] (analytic) 1.479083057518569 y[1] (numeric) 1.4790830575185794 absolute error 1.0436096431476471e-14 relative error 7.055787961620575e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.20346542195674 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.889999999999961 y[1] (analytic) 1.4655471097042942 y[1] (numeric) 1.4655471097043042 absolute error 9.992007221626409e-15 relative error 6.817936561345006e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.572519835161494 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.899999999999961 y[1] (analytic) 1.4518646084003342 y[1] (numeric) 1.451864608400344 absolute error 9.769962616701378e-15 relative error 6.729251860106936e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.94849299871636 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9099999999999606 y[1] (analytic) 1.4380369218454172 y[1] (numeric) 1.4380369218454268 absolute error 9.547918011776346e-15 relative error 6.639549977286819e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.331658670476116 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9199999999999604 y[1] (analytic) 1.4240654327966757 y[1] (numeric) 1.424065432796685 absolute error 9.325873406851315e-15 relative error 6.548767487836943e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.267525626352306 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.92999999999996 y[1] (analytic) 1.409951538391372 y[1] (numeric) 1.409951538391381 absolute error 8.881784197001252e-15 relative error 6.299354236766584e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.88599376702037 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.93999999999996 y[1] (analytic) 1.3956966500071848 y[1] (numeric) 1.3956966500071935 absolute error 8.659739592076221e-15 relative error 6.204600112805058e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.511972355076207 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9499999999999598 y[1] (analytic) 1.3813021931210736 y[1] (numeric) 1.3813021931210818 absolute error 8.215650382226158e-15 relative error 5.947757430010858e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.14516914423352 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9599999999999596 y[1] (analytic) 1.3667696071667315 y[1] (numeric) 1.3667696071667395 absolute error 7.993605777301127e-15 relative error 5.848539311516891e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.785305894116792 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9699999999999593 y[1] (analytic) 1.3521003453906437 y[1] (numeric) 1.3521003453906513 absolute error 7.549516567451064e-15 relative error 5.583547547478724e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.432117519791618 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.979999999999959 y[1] (analytic) 1.3372958747067634 y[1] (numeric) 1.3372958747067707 absolute error 7.327471962526033e-15 relative error 5.479319947900662e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.08535130201765 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.989999999999959 y[1] (analytic) 1.3223576755498219 y[1] (numeric) 1.3223576755498287 absolute error 6.8833827526759706e-15 relative error 5.205386469900388e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.744766153210122 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9999999999999587 y[1] (analytic) 1.3072872417272863 y[1] (numeric) 1.307287241727293 absolute error 6.661338147750939e-15 relative error 5.095542842558058e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.410131934563086 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.009999999999959 y[1] (analytic) 1.2920860802699798 y[1] (numeric) 1.292086080269987 absolute error 7.105427357601002e-15 relative error 5.49919039149182e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.081228820205748 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.019999999999959 y[1] (analytic) 1.2767557112813819 y[1] (numeric) 1.2767557112813888 absolute error 6.8833827526759706e-15 relative error 5.391307586764305e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.75784670464002 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0299999999999585 y[1] (analytic) 1.2612976677856154 y[1] (numeric) 1.2612976677856218 absolute error 6.439293542825908e-15 relative error 5.105292515232339e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.439784650043997 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039999999999958 y[1] (analytic) 1.2457134955741482 y[1] (numeric) 1.2457134955741542 absolute error 5.995204332975845e-15 relative error 4.812667081376253e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.12685037033109 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049999999999958 y[1] (analytic) 1.2300047530512148 y[1] (numeric) 1.2300047530512204 absolute error 5.551115123125783e-15 relative error 4.513084286345555e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.818859749127565 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.059999999999958 y[1] (analytic) 1.2141730110779767 y[1] (numeric) 1.214173011077982 absolute error 5.329070518200751e-15 relative error 4.3890536765180227e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.515636389078503 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.069999999999958 y[1] (analytic) 1.1982198528154382 y[1] (numeric) 1.1982198528154433 absolute error 5.10702591327572e-15 relative error 4.262177680728476e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.217011190115072 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.079999999999957 y[1] (analytic) 1.1821468735661316 y[1] (numeric) 1.1821468735661362 absolute error 4.6629367034256575e-15 relative error 3.944464776495307e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.922821954517971 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.089999999999957 y[1] (analytic) 1.1659556806145874 y[1] (numeric) 1.1659556806145916 absolute error 4.218847493575595e-15 relative error 3.618360083251017e-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] 4.099999999999957 y[1] (analytic) 1.149647893066608 y[1] (numeric) 1.149647893066612 absolute error 3.9968028886505635e-15 relative error 3.4765452211540716e-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] 4.109999999999957 y[1] (analytic) 1.133225141687359 y[1] (numeric) 1.1332251416873627 absolute error 3.552713678800501e-15 relative error 3.135046645285818e-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] 4.119999999999957 y[1] (analytic) 1.1166890687382924 y[1] (numeric) 1.1166890687382955 absolute error 3.1086244689504383e-15 relative error 2.783786960915417e-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] 4.129999999999956 y[1] (analytic) 1.1000413278129229 y[1] (numeric) 1.1000413278129257 absolute error 2.886579864025407e-15 relative error 2.624064924691911e-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] 4.139999999999956 y[1] (analytic) 1.0832835836714703 y[1] (numeric) 1.0832835836714727 absolute error 2.4424906541753444e-15 relative error 2.25471030023112e-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] 4.149999999999956 y[1] (analytic) 1.066417512074384 y[1] (numeric) 1.066417512074386 absolute error 1.9984014443252818e-15 relative error 1.8739390732978612e-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] 4.159999999999956 y[1] (analytic) 1.0494447996147682 y[1] (numeric) 1.04944479961477 absolute error 1.7763568394002505e-15 relative error 1.6926634350394783e-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] 4.1699999999999555 y[1] (analytic) 1.0323671435497255 y[1] (numeric) 1.032367143549727 absolute error 1.5543122344752192e-15 relative error 1.5055808819436274e-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] 4.179999999999955 y[1] (analytic) 1.0151862516306311 y[1] (numeric) 1.015186251630632 absolute error 8.881784197001252e-16 relative error 8.748920882975897e-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] 4.189999999999955 y[1] (analytic) 0.9979038419323591 y[1] (numeric) 0.9979038419323598 absolute error 6.661338147750939e-16 relative error 6.675330696043621e-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] 4.199999999999955 y[1] (analytic) 0.9805216426814778 y[1] (numeric) 0.9805216426814781 absolute error 3.3306690738754696e-16 relative error 3.3968338167089665e-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] 4.209999999999955 y[1] (analytic) 0.963041392083427 y[1] (numeric) 0.9630413920834269 absolute error 1.1102230246251565e-16 relative error 1.1528300172262787e-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] 4.2199999999999545 y[1] (analytic) 0.9454648381486996 y[1] (numeric) 0.9454648381486991 absolute error 5.551115123125783e-16 relative error 5.871307846831552e-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] 4.229999999999954 y[1] (analytic) 0.9277937385180421 y[1] (numeric) 0.9277937385180413 absolute error 8.881784197001252e-16 relative error 9.573015885177301e-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] 4.239999999999954 y[1] (analytic) 0.9100298602866916 y[1] (numeric) 0.9100298602866904 absolute error 1.2212453270876722e-15 relative error 1.3419837967766647e-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] 4.249999999999954 y[1] (analytic) 0.8921749798276682 y[1] (numeric) 0.8921749798276666 absolute error 1.6653345369377348e-15 relative error 1.8666008065586074e-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] 4.259999999999954 y[1] (analytic) 0.8742308826141387 y[1] (numeric) 0.8742308826141367 absolute error 1.9984014443252818e-15 relative error 2.2858966482053696e-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] 4.269999999999953 y[1] (analytic) 0.8561993630408712 y[1] (numeric) 0.8561993630408687 absolute error 2.4424906541753444e-15 relative error 2.852712533562993e-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] 4.279999999999953 y[1] (analytic) 0.8380822242447966 y[1] (numeric) 0.8380822242447937 absolute error 2.886579864025407e-15 relative error 3.4442680927000093e-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] 4.289999999999953 y[1] (analytic) 0.819881277924697 y[1] (numeric) 0.8198812779246938 absolute error 3.219646771412954e-15 relative error 3.9269670598682293e-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] 4.299999999999953 y[1] (analytic) 0.8015983441600372 y[1] (numeric) 0.8015983441600335 absolute error 3.6637359812630166e-15 relative error 4.570538359958938e-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] 4.3099999999999525 y[1] (analytic) 0.7832352512289577 y[1] (numeric) 0.7832352512289537 absolute error 3.9968028886505635e-15 relative error 5.102940505268712e-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] 4.319999999999952 y[1] (analytic) 0.7647938354254492 y[1] (numeric) 0.7647938354254448 absolute error 4.440892098500626e-15 relative error 5.806652581123631e-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] 4.329999999999952 y[1] (analytic) 0.7462759408757241 y[1] (numeric) 0.7462759408757194 absolute error 4.773959005888173e-15 relative error 6.397042627806182e-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] 4.339999999999952 y[1] (analytic) 0.7276834193538062 y[1] (numeric) 0.727683419353801 absolute error 5.218048215738236e-15 relative error 7.17076695298615e-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] 4.349999999999952 y[1] (analytic) 0.7090181300963536 y[1] (numeric) 0.7090181300963481 absolute error 5.551115123125783e-15 relative error 7.829299262589239e-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] 4.3599999999999515 y[1] (analytic) 0.6902819396167379 y[1] (numeric) 0.6902819396167319 absolute error 5.995204332975845e-15 relative error 8.685153107590408e-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] 4.369999999999951 y[1] (analytic) 0.6714767215183935 y[1] (numeric) 0.6714767215183871 absolute error 6.439293542825908e-15 relative error 9.589749482699705e-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] 4.379999999999951 y[1] (analytic) 0.6526043563074594 y[1] (numeric) 0.6526043563074526 absolute error 6.772360450213455e-15 relative error 1.0377436780429358e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.389999999999951 y[1] (analytic) 0.6336667312047297 y[1] (numeric) 0.6336667312047225 absolute error 7.216449660063518e-15 relative error 1.1388399145310303e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399999999999951 y[1] (analytic) 0.6146657399569333 y[1] (numeric) 0.6146657399569257 absolute error 7.549516567451064e-15 relative error 1.2282312282412265e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.40999999999995 y[1] (analytic) 0.5956032826473611 y[1] (numeric) 0.5956032826473531 absolute error 7.993605777301127e-15 relative error 1.3421023708551153e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.41999999999995 y[1] (analytic) 0.5764812655058584 y[1] (numeric) 0.5764812655058501 absolute error 8.326672684688674e-15 relative error 1.4443960598410905e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.42999999999995 y[1] (analytic) 0.5573016007182047 y[1] (numeric) 0.557301600718196 absolute error 8.659739592076221e-15 relative error 1.5538694991933018e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.43999999999995 y[1] (analytic) 0.5380662062348956 y[1] (numeric) 0.5380662062348865 absolute error 9.103828801926284e-15 relative error 1.6919532757186313e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4499999999999496 y[1] (analytic) 0.51877700557935 y[1] (numeric) 0.5187770055793406 absolute error 9.43689570931383e-15 relative error 1.819065920004506e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.459999999999949 y[1] (analytic) 0.4994359276555593 y[1] (numeric) 0.4994359276555494 absolute error 9.880984919163893e-15 relative error 1.9784289379314356e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.469999999999949 y[1] (analytic) 0.48004490655519816 y[1] (numeric) 0.4800449065551879 absolute error 1.0269562977782698e-14 relative error 2.1392921448697526e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.479999999999949 y[1] (analytic) 0.4606058813642176 y[1] (numeric) 0.46060588136420694 absolute error 1.0658141036401503e-14 relative error 2.31393941493633e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.489999999999949 y[1] (analytic) 0.4411207959689376 y[1] (numeric) 0.4411207959689265 absolute error 1.1102230246251565e-14 relative error 2.5168231350020846e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4999999999999485 y[1] (analytic) 0.42159159886166014 y[1] (numeric) 0.4215915988616486 absolute error 1.1546319456101628e-14 relative error 2.73874514750243e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.509999999999948 y[1] (analytic) 0.40202024294582167 y[1] (numeric) 0.40202024294580974 absolute error 1.1934897514720433e-14 relative error 2.9687304866210038e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.519999999999948 y[1] (analytic) 0.3824086853407044 y[1] (numeric) 0.382408685340692 absolute error 1.2378986724570495e-14 relative error 3.2371091973346585e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.529999999999948 y[1] (analytic) 0.36275888718572585 y[1] (numeric) 0.3627588871857131 absolute error 1.27675647831893e-14 relative error 3.5195732576642686e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.539999999999948 y[1] (analytic) 0.34307281344432683 y[1] (numeric) 0.3430728134443136 absolute error 1.3211653993039363e-14 relative error 3.850976665973366e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.549999999999947 y[1] (analytic) 0.32335243270747643 y[1] (numeric) 0.3233524327074628 absolute error 1.3655743202889425e-14 relative error 4.2231762688617876e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.559999999999947 y[1] (analytic) 0.3035997169968147 y[1] (numeric) 0.30359971699680066 absolute error 1.404432126150823e-14 relative error 4.625933581372732e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.569999999999947 y[1] (analytic) 0.2838166415674523 y[1] (numeric) 0.2838166415674378 absolute error 1.4488410471358293e-14 relative error 5.104848817652913e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.579999999999947 y[1] (analytic) 0.2640051847104462 y[1] (numeric) 0.2640051847104313 absolute error 1.4932499681208355e-14 relative error 5.656138798026228e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.589999999999947 y[1] (analytic) 0.2441673275549726 y[1] (numeric) 0.2441673275549573 absolute error 1.532107773982716e-14 relative error 6.274827141390456e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.599999999999946 y[1] (analytic) 0.22430505387021565 y[1] (numeric) 0.2243050538701999 absolute error 1.5765166949677223e-14 relative error 7.0284492826448085e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.609999999999946 y[1] (analytic) 0.20442034986699192 y[1] (numeric) 0.20442034986697574 absolute error 1.6181500583911657e-14 relative error 7.915797323720612e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.619999999999946 y[1] (analytic) 0.1845152039991312 y[1] (numeric) 0.1845152039991146 absolute error 1.659783421814609e-14 relative error 8.995374830046115e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.629999999999946 y[1] (analytic) 0.16459160676463275 y[1] (numeric) 0.16459160676461573 absolute error 1.7014167852380524e-14 relative error 1.0337202599103922e-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] 4.6399999999999455 y[1] (analytic) 0.14465155050661704 y[1] (numeric) 0.1446515505065996 absolute error 1.7430501486614958e-14 relative error 1.2049992845266878e-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] 4.649999999999945 y[1] (analytic) 0.12469702921409323 y[1] (numeric) 0.12469702921407537 absolute error 1.7860712908657206e-14 relative error 1.4323286626172962e-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] 4.659999999999945 y[1] (analytic) 0.10473003832256185 y[1] (numeric) 0.10473003832254357 absolute error 1.827704654289164e-14 relative error 1.7451580115534283e-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] 4.669999999999945 y[1] (analytic) 0.08475257451447296 y[1] (numeric) 0.08475257451445425 absolute error 1.8707257964933888e-14 relative error 2.2072790203841303e-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] 4.679999999999945 y[1] (analytic) 0.06476663551955954 y[1] (numeric) 0.0647666355195404 absolute error 1.9137469386976136e-14 relative error 2.954834573921416e-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] 4.689999999999944 y[1] (analytic) 0.044774219915066166 y[1] (numeric) 0.044774219915046605 absolute error 1.9560741915114477e-14 relative error 4.3687510250809405e-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] 4.699999999999944 y[1] (analytic) 0.02477732692589302 y[1] (numeric) 0.024777326925873033 absolute error 1.998748389020477e-14 relative error 8.066844316978066e-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] 4.709999999999944 y[1] (analytic) 0.004777956224674987 y[1] (numeric) 0.004777956224654573 absolute error 2.0414225865295066e-14 relative error 4.272585370261259e-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] 4.719999999999944 y[1] (analytic) -0.015221892268183898 y[1] (numeric) -0.01522189226820474 absolute error 2.0842702563861337e-14 relative error 1.3692583153689638e-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 0.0073389134773086265 Order of pole (three term test) -0.894257651745016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y[1] (analytic) -0.035220218584500834 y[1] (numeric) -0.0352202185845221 absolute error 2.1267709815475655e-14 relative error 6.038494555179967e-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 0.016978536313896734 Order of pole (three term test) -0.9003549199517773 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y[1] (analytic) -0.0552150229083094 y[1] (numeric) -0.05521502290833109 absolute error 2.1690982343613996e-14 relative error 3.9284566411634475e-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 0.026611353980064385 Order of pole (three term test) -0.9112844839455715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y[1] (analytic) -0.0752043057758395 y[1] (numeric) -0.07520430577586162 absolute error 2.2121193765656244e-14 relative error 2.9414796848989735e-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 0.03623350556415961 Order of pole (three term test) -0.9270419540531252 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y[1] (analytic) -0.09518606827546207 y[1] (numeric) -0.09518606827548462 absolute error 2.2551405187698492e-14 relative error 2.3691917941642724e-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 0.045841134455908615 Order of pole (three term test) -0.9476210015836062 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y[1] (analytic) -0.11515831224757855 y[1] (numeric) -0.11515831224760152 absolute error 2.2967738821932926e-14 relative error 1.9944490652619714e-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 0.05543038990163343 Order of pole (three term test) -0.9730133614015779 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y[1] (analytic) -0.1351190404844352 y[1] (numeric) -0.1351190404844586 absolute error 2.3397950243975174e-14 relative error 1.731654558831067e-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 0.06499742855704904 Order of pole (three term test) -1.0032088352871373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y[1] (analytic) -0.15506625692984224 y[1] (numeric) -0.1550662569298661 absolute error 2.3842039453825237e-14 relative error 1.5375388511900602e-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 0.07453841603700158 Order of pole (three term test) -1.0381952960818148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y[1] (analytic) -0.17499796687877778 y[1] (numeric) -0.17499796687880204 absolute error 2.425837308805967e-14 relative error 1.3862088526356196e-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 0.08404952846150518 Order of pole (three term test) -1.0779586926184568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y[1] (analytic) -0.19491217717685655 y[1] (numeric) -0.19491217717688125 absolute error 2.4702462297909733e-14 relative error 1.2673637253302843e-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 0.09352695399744085 Order of pole (three term test) -1.1224830554330052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y[1] (analytic) -0.21480689641964393 y[1] (numeric) -0.21480689641966905 absolute error 2.5118795932144167e-14 relative error 1.1693663635022414e-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 0.10296689439528016 Order of pole (three term test) -1.1717505032557325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y[1] (analytic) -0.23468013515179448 y[1] (numeric) -0.23468013515182004 absolute error 2.556288514199423e-14 relative error 1.0892649744495753e-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 0.11236556652020065 Order of pole (three term test) -1.2257412502791734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y[1] (analytic) -0.254529906065996 y[1] (numeric) -0.254529906066022 absolute error 2.5979218776228663e-14 relative error 1.0206745123888357e-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 0.12171920387696032 Order of pole (three term test) -1.2844336141996575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y[1] (analytic) -0.27435422420169847 y[1] (numeric) -0.2743542242017249 absolute error 2.6423307986078726e-14 relative error 9.631092090148741e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13102405812790502 Order of pole (three term test) -1.347804025029032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y[1] (analytic) -0.2941511071436085 y[1] (numeric) -0.29415110714363535 absolute error 2.6867397195928788e-14 relative error 9.133875937720597e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14027640060347835 Order of pole (three term test) -1.4158270346727981 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y[1] (analytic) -0.3139185752199293 y[1] (numeric) -0.3139185752199566 absolute error 2.731148640577885e-14 relative error 8.700181690951102e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14947252380461806 Order of pole (three term test) -1.4884753272706301 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y[1] (analytic) -0.33365465170032604 y[1] (numeric) -0.33365465170035374 absolute error 2.7700064464397656e-14 relative error 8.302016568100071e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1586087428964147 Order of pole (three term test) -1.5657197302948376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y[1] (analytic) -0.3533573629935974 y[1] (numeric) -0.35335736299362547 absolute error 2.808864252301646e-14 relative error 7.949075203938911e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16768139719242275 Order of pole (three term test) -1.647529226402093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y[1] (analytic) -0.37302473884503284 y[1] (numeric) -0.3730247388450613 absolute error 2.8477220581635265e-14 relative error 7.634137261192661e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17668685162900896 Order of pole (three term test) -1.7338709660333507 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y[1] (analytic) -0.3926548125334367 y[1] (numeric) -0.3926548125334656 absolute error 2.892130979148533e-14 relative error 7.365581388111096e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1856214982291365 Order of pole (three term test) -1.8247102807566469 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y[1] (analytic) -0.4122456210677985 y[1] (numeric) -0.4122456210678278 absolute error 2.930988785010413e-14 relative error 7.109811809325147e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19448175755498093 Order of pole (three term test) -1.9200106973470832 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y[1] (analytic) -0.43179520538359034 y[1] (numeric) -0.4317952053836201 absolute error 2.9753977059954195e-14 relative error 6.890761335231108e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20326408014878244 Order of pole (three term test) -2.0197339525980436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y[1] (analytic) -0.451301610538672 y[1] (numeric) -0.45130161053870216 absolute error 3.0142555118573e-14 relative error 6.679026711780388e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21196494796134271 Order of pole (three term test) -2.12384000885733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y[1] (analytic) -0.47076288590878324 y[1] (numeric) -0.47076288590881377 absolute error 3.0531133177191805e-14 relative error 6.485458835237838e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2205808757675839 Order of pole (three term test) -2.2322870702816906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y[1] (analytic) -0.4901770853826047 y[1] (numeric) -0.4901770853826356 absolute error 3.091971123581061e-14 relative error 6.3078654955231984e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22910841256858552 Order of pole (three term test) -2.3450315998027733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y[1] (analytic) -0.5095422675563673 y[1] (numeric) -0.5095422675563988 absolute error 3.141931159689193e-14 relative error 6.1661835724778644e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.237544142979529 Order of pole (three term test) -2.4620283367973874 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y[1] (analytic) -0.5288564959279916 y[1] (numeric) -0.5288564959280234 absolute error 3.186340080674199e-14 relative error 6.024961601507959e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24588468860298224 Order of pole (three term test) -2.583230315454562 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y[1] (analytic) -0.5481178390907353 y[1] (numeric) -0.5481178390907675 absolute error 3.219646771412954e-14 relative error 5.874004715398388e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2541267093869621 Order of pole (three term test) -2.708588883831635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y[1] (analytic) -0.5673243709263333 y[1] (numeric) -0.5673243709263659 absolute error 3.26405569239796e-14 relative error 5.753420546817644e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26226690496722116 Order of pole (three term test) -2.838053723591315 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = 2.0 * sin(x); Iterations 491 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.40816326530484%