##############ECHO OF PROBLEM################# ##############temp/expt_c_linpostode.ode################# diff ( y , x , 1 ) = expt ( 2.0 , ( 0.2 * x + 0.3 ) ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=1.0 ## did poorly with x_start := -5.0; x_end=5.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 $glob_display_interval=0.1 $glob_max_minutes=10 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=30.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(7.2134752044448170367996234050095*expt(2.0,(0.2*x+0.3))) 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 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 4.0 estimated_steps 4000000.0 step_error 2.5e-17 est_needed_step_err 2.5e-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 1.2339068916504653e-204 estimated_step_error 1.2339068916504653e-204 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 8.280608999301457e-197 estimated_step_error 8.280608999301457e-197 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 5.557022660245085e-189 estimated_step_error 5.557022660245085e-189 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 3.729254817808204e-181 estimated_step_error 3.729254817808204e-181 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 2.5026605952952342e-173 estimated_step_error 2.5026605952952342e-173 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 1.6795071642646807e-165 estimated_step_error 1.6795071642646807e-165 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 1.1270982713286466e-157 estimated_step_error 1.1270982713286466e-157 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 7.563829703272082e-150 estimated_step_error 7.563829703272082e-150 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 5.07600185675094e-142 estimated_step_error 5.07600185675094e-142 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 3.4064494214255093e-134 estimated_step_error 3.4064494214255093e-134 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 2.2860325142463135e-126 estimated_step_error 2.2860325142463135e-126 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 1.5341344839616792e-118 estimated_step_error 1.5341344839616792e-118 best_h 0.004096 opt_iter 13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.0295456374346932e-110 estimated_step_error 1.0295456374346932e-110 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 6.909236469812383e-103 estimated_step_error 6.909236469812383e-103 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 4.636807622637179e-95 estimated_step_error 4.636807622637179e-95 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 3.111839814042751e-87 estimated_step_error 3.111839814042751e-87 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 2.0884960511915275e-79 estimated_step_error 2.0884960511915275e-79 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 1.4018018559327504e-71 estimated_step_error 1.4018018559327504e-71 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 1.0 y[1] (analytic) 10.201394465967896 y[1] (numeric) 10.201394465967896 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.01 y[1] (analytic) 10.215546408704386 y[1] (numeric) 10.215546408704386 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.02 y[1] (analytic) 10.229717983804264 y[1] (numeric) 10.229717983804264 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.03 y[1] (analytic) 10.243909218502639 y[1] (numeric) 10.243909218502639 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.04 y[1] (analytic) 10.258120140072398 y[1] (numeric) 10.258120140072398 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.05 y[1] (analytic) 10.272350775824268 y[1] (numeric) 10.27235077582427 absolute error 1.7763568394002505e-15 relative error 1.7292603009438345e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.06 y[1] (analytic) 10.286601153106863 y[1] (numeric) 10.286601153106863 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.07 y[1] (analytic) 10.300871299306731 y[1] (numeric) 10.300871299306731 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111205 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.08 y[1] (analytic) 10.315161241848417 y[1] (numeric) 10.315161241848417 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.09 y[1] (analytic) 10.329471008194508 y[1] (numeric) 10.329471008194508 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1 y[1] (analytic) 10.343800625845688 y[1] (numeric) 10.34380062584569 absolute error 1.7763568394002505e-15 relative error 1.7173154275245123e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.11 y[1] (analytic) 10.358150122340799 y[1] (numeric) 10.3581501223408 absolute error 1.7763568394002505e-15 relative error 1.7149363722475363e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.12 y[1] (analytic) 10.372519525256877 y[1] (numeric) 10.372519525256878 absolute error 1.7763568394002505e-15 relative error 1.7125606127564833e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000001 y[1] (analytic) 10.386908862209218 y[1] (numeric) 10.38690886220922 absolute error 1.7763568394002505e-15 relative error 1.7101881444855893e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000001 y[1] (analytic) 10.40131816085143 y[1] (numeric) 10.40131816085143 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000001 y[1] (analytic) 10.415747448875479 y[1] (numeric) 10.415747448875479 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000001 y[1] (analytic) 10.43019675401175 y[1] (numeric) 10.43019675401175 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700000000000002 y[1] (analytic) 10.444666104029094 y[1] (numeric) 10.444666104029094 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000002 y[1] (analytic) 10.459155526734891 y[1] (numeric) 10.459155526734891 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900000000000002 y[1] (analytic) 10.47366504997509 y[1] (numeric) 10.473665049975091 absolute error 1.7763568394002505e-15 relative error 1.6960221955966364e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000002 y[1] (analytic) 10.488194701634274 y[1] (numeric) 10.488194701634274 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000002 y[1] (analytic) 10.502744509635704 y[1] (numeric) 10.502744509635704 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000002 y[1] (analytic) 10.517314501941383 y[1] (numeric) 10.517314501941383 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300000000000002 y[1] (analytic) 10.531904706552103 y[1] (numeric) 10.531904706552103 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000002 y[1] (analytic) 10.546515151507498 y[1] (numeric) 10.546515151507498 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500000000000002 y[1] (analytic) 10.561145864886104 y[1] (numeric) 10.561145864886102 absolute error 1.7763568394002505e-15 relative error 1.681973587076678e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2600000000000002 y[1] (analytic) 10.575796874805404 y[1] (numeric) 10.575796874805402 absolute error 1.7763568394002505e-15 relative error 1.6796434920493268e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2700000000000002 y[1] (analytic) 10.590468209421891 y[1] (numeric) 10.59046820942189 absolute error 1.7763568394002505e-15 relative error 1.6773166249816047e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2800000000000002 y[1] (analytic) 10.605159896931118 y[1] (numeric) 10.605159896931116 absolute error 1.7763568394002505e-15 relative error 1.67499298140171e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2900000000000003 y[1] (analytic) 10.619871965567754 y[1] (numeric) 10.61987196556775 absolute error 3.552713678800501e-15 relative error 3.3453451136880704e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3000000000000003 y[1] (analytic) 10.634604443605626 y[1] (numeric) 10.634604443605625 absolute error 1.7763568394002505e-15 relative error 1.670355346849161e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3100000000000003 y[1] (analytic) 10.649357359357802 y[1] (numeric) 10.6493573593578 absolute error 1.7763568394002505e-15 relative error 1.668041346963843e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3200000000000003 y[1] (analytic) 10.664130741176614 y[1] (numeric) 10.664130741176612 absolute error 1.7763568394002505e-15 relative error 1.6657305527410087e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3300000000000003 y[1] (analytic) 10.678924617453731 y[1] (numeric) 10.678924617453728 absolute error 3.552713678800501e-15 relative error 3.3268459194794893e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3400000000000003 y[1] (analytic) 10.693739016620203 y[1] (numeric) 10.693739016620201 absolute error 1.7763568394002505e-15 relative error 1.6611185635252906e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3500000000000003 y[1] (analytic) 10.708573967146531 y[1] (numeric) 10.708573967146528 absolute error 3.552713678800501e-15 relative error 3.317634719338057e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3600000000000003 y[1] (analytic) 10.723429497542703 y[1] (numeric) 10.7234294975427 absolute error 3.552713678800501e-15 relative error 3.313038687496955e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3700000000000003 y[1] (analytic) 10.738305636358263 y[1] (numeric) 10.738305636358259 absolute error 3.552713678800501e-15 relative error 3.308449022694563e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3800000000000003 y[1] (analytic) 10.753202412182358 y[1] (numeric) 10.753202412182352 absolute error 5.329070518200751e-15 relative error 4.955798574165609e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3900000000000003 y[1] (analytic) 10.768119853643793 y[1] (numeric) 10.768119853643789 absolute error 3.552713678800501e-15 relative error 3.29928875893623e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4000000000000004 y[1] (analytic) 10.783057989411095 y[1] (numeric) 10.783057989411091 absolute error 3.552713678800501e-15 relative error 3.294718142375982e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4100000000000004 y[1] (analytic) 10.798016848192557 y[1] (numeric) 10.798016848192553 absolute error 3.552713678800501e-15 relative error 3.2901538576457934e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4200000000000004 y[1] (analytic) 10.812996458736299 y[1] (numeric) 10.812996458736295 absolute error 3.552713678800501e-15 relative error 3.285595895973966e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4300000000000004 y[1] (analytic) 10.82799684983032 y[1] (numeric) 10.827996849830317 absolute error 3.552713678800501e-15 relative error 3.281044248600953e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4400000000000004 y[1] (analytic) 10.84301805030256 y[1] (numeric) 10.843018050302556 absolute error 3.552713678800501e-15 relative error 3.276498906779342e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4500000000000004 y[1] (analytic) 10.858060089020945 y[1] (numeric) 10.858060089020942 absolute error 3.552713678800501e-15 relative error 3.271959861773839e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4600000000000004 y[1] (analytic) 10.873122994893453 y[1] (numeric) 10.87312299489345 absolute error 3.552713678800501e-15 relative error 3.267427104861251e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4700000000000004 y[1] (analytic) 10.888206796868161 y[1] (numeric) 10.88820679686816 absolute error 1.7763568394002505e-15 relative error 1.631450313665235e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4800000000000004 y[1] (analytic) 10.903311523933308 y[1] (numeric) 10.903311523933306 absolute error 1.7763568394002505e-15 relative error 1.6291902102412274e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4900000000000004 y[1] (analytic) 10.918437205117344 y[1] (numeric) 10.918437205117343 absolute error 1.7763568394002505e-15 relative error 1.6269332378151084e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5000000000000004 y[1] (analytic) 10.933583869488992 y[1] (numeric) 10.93358386948899 absolute error 1.7763568394002505e-15 relative error 1.6246793920494004e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100000000000005 y[1] (analytic) 10.948751546157295 y[1] (numeric) 10.948751546157293 absolute error 1.7763568394002505e-15 relative error 1.6224286686126345e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5200000000000005 y[1] (analytic) 10.963940264271683 y[1] (numeric) 10.963940264271683 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5300000000000005 y[1] (analytic) 10.979150053022027 y[1] (numeric) 10.979150053022025 absolute error 1.7763568394002505e-15 relative error 1.6179365714300497e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5400000000000005 y[1] (analytic) 10.99438094163868 y[1] (numeric) 10.994380941638678 absolute error 1.7763568394002505e-15 relative error 1.6156951890512626e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5500000000000005 y[1] (analytic) 11.009632959392556 y[1] (numeric) 11.009632959392553 absolute error 3.552713678800501e-15 relative error 3.226913823470931e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5600000000000005 y[1] (analytic) 11.02490613559517 y[1] (numeric) 11.024906135595167 absolute error 3.552713678800501e-15 relative error 3.222443470362218e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5700000000000005 y[1] (analytic) 11.0402004995987 y[1] (numeric) 11.040200499598699 absolute error 1.7763568394002505e-15 relative error 1.6089896550926036e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5800000000000005 y[1] (analytic) 11.055516080796046 y[1] (numeric) 11.055516080796046 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000005 y[1] (analytic) 11.070852908620884 y[1] (numeric) 11.070852908620882 absolute error 1.7763568394002505e-15 relative error 1.6045347671605318e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000005 y[1] (analytic) 11.086211012547711 y[1] (numeric) 11.086211012547711 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000005 y[1] (analytic) 11.101590422091927 y[1] (numeric) 11.101590422091927 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200000000000006 y[1] (analytic) 11.116991166809871 y[1] (numeric) 11.116991166809871 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300000000000006 y[1] (analytic) 11.132413276298884 y[1] (numeric) 11.132413276298884 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400000000000006 y[1] (analytic) 11.147856780197365 y[1] (numeric) 11.147856780197365 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500000000000006 y[1] (analytic) 11.163321708184835 y[1] (numeric) 11.163321708184833 absolute error 1.7763568394002505e-15 relative error 1.591243973644371e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600000000000006 y[1] (analytic) 11.17880808998198 y[1] (numeric) 11.178808089981978 absolute error 1.7763568394002505e-15 relative error 1.589039569426148e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700000000000006 y[1] (analytic) 11.194315955350719 y[1] (numeric) 11.194315955350717 absolute error 1.7763568394002505e-15 relative error 1.5868382190438158e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800000000000006 y[1] (analytic) 11.209845334094263 y[1] (numeric) 11.209845334094261 absolute error 1.7763568394002505e-15 relative error 1.5846399182667913e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900000000000006 y[1] (analytic) 11.225396256057161 y[1] (numeric) 11.22539625605716 absolute error 1.7763568394002505e-15 relative error 1.5824446628703537e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000000000000006 y[1] (analytic) 11.240968751125369 y[1] (numeric) 11.240968751125369 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100000000000006 y[1] (analytic) 11.256562849226302 y[1] (numeric) 11.2565628492263 absolute error 1.7763568394002505e-15 relative error 1.5780632713496062e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200000000000006 y[1] (analytic) 11.272178580328887 y[1] (numeric) 11.272178580328886 absolute error 1.7763568394002505e-15 relative error 1.5758771268050847e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300000000000006 y[1] (analytic) 11.28781597444363 y[1] (numeric) 11.28781597444363 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400000000000007 y[1] (analytic) 11.30347506162267 y[1] (numeric) 11.30347506162267 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500000000000007 y[1] (analytic) 11.319155871959834 y[1] (numeric) 11.319155871959834 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600000000000007 y[1] (analytic) 11.334858435590697 y[1] (numeric) 11.334858435590697 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700000000000007 y[1] (analytic) 11.350582782692637 y[1] (numeric) 11.350582782692639 absolute error 1.7763568394002505e-15 relative error 1.564991748361008e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800000000000007 y[1] (analytic) 11.366328943484904 y[1] (numeric) 11.366328943484904 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900000000000007 y[1] (analytic) 11.38209694822866 y[1] (numeric) 11.38209694822866 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000000000000007 y[1] (analytic) 11.397886827227053 y[1] (numeric) 11.397886827227055 absolute error 1.7763568394002505e-15 relative error 1.558496646200174e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100000000000007 y[1] (analytic) 11.413698610825268 y[1] (numeric) 11.41369861082527 absolute error 1.7763568394002505e-15 relative error 1.5563376079647603e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200000000000007 y[1] (analytic) 11.429532329410588 y[1] (numeric) 11.429532329410588 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8300000000000007 y[1] (analytic) 11.445388013412446 y[1] (numeric) 11.445388013412446 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400000000000007 y[1] (analytic) 11.46126569330249 y[1] (numeric) 11.461265693302492 absolute error 1.7763568394002505e-15 relative error 1.549878422623326e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500000000000008 y[1] (analytic) 11.477165399594647 y[1] (numeric) 11.477165399594648 absolute error 1.7763568394002505e-15 relative error 1.547731323505182e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111205 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8600000000000008 y[1] (analytic) 11.493087162845166 y[1] (numeric) 11.493087162845168 absolute error 1.7763568394002505e-15 relative error 1.545587198836231e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8700000000000008 y[1] (analytic) 11.509031013652688 y[1] (numeric) 11.50903101365269 absolute error 1.7763568394002505e-15 relative error 1.5434460444958674e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8800000000000008 y[1] (analytic) 11.524996982658305 y[1] (numeric) 11.524996982658307 absolute error 1.7763568394002505e-15 relative error 1.5413078563691943e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900000000000008 y[1] (analytic) 11.54098510054561 y[1] (numeric) 11.540985100545612 absolute error 1.7763568394002505e-15 relative error 1.5391726303470158e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000000000000008 y[1] (analytic) 11.556995398040769 y[1] (numeric) 11.55699539804077 absolute error 1.7763568394002505e-15 relative error 1.5370403623258275e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9100000000000008 y[1] (analytic) 11.573027905912568 y[1] (numeric) 11.57302790591257 absolute error 1.7763568394002505e-15 relative error 1.5349110482078107e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9200000000000008 y[1] (analytic) 11.58908265497248 y[1] (numeric) 11.589082654972481 absolute error 1.7763568394002505e-15 relative error 1.5327846839008234e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9300000000000008 y[1] (analytic) 11.605159676074718 y[1] (numeric) 11.60515967607472 absolute error 1.7763568394002505e-15 relative error 1.5306612653183918e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9400000000000008 y[1] (analytic) 11.621259000116302 y[1] (numeric) 11.621259000116304 absolute error 1.7763568394002505e-15 relative error 1.528540788379704e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500000000000008 y[1] (analytic) 11.637380658037111 y[1] (numeric) 11.637380658037113 absolute error 1.7763568394002505e-15 relative error 1.5264232490096016e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600000000000009 y[1] (analytic) 11.653524680819945 y[1] (numeric) 11.653524680819949 absolute error 3.552713678800501e-15 relative error 3.048617286277143e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700000000000009 y[1] (analytic) 11.669691099490592 y[1] (numeric) 11.669691099490594 absolute error 1.7763568394002505e-15 relative error 1.5221969667027368e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000009 y[1] (analytic) 11.68587994511787 y[1] (numeric) 11.685879945117872 absolute error 1.7763568394002505e-15 relative error 1.5200882156438526e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900000000000009 y[1] (analytic) 11.702091248813705 y[1] (numeric) 11.702091248813707 absolute error 1.7763568394002505e-15 relative error 1.5179823859092947e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.000000000000001 y[1] (analytic) 11.718325041733179 y[1] (numeric) 11.71832504173318 absolute error 1.7763568394002505e-15 relative error 1.5158794734520535e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0100000000000007 y[1] (analytic) 11.734581355074598 y[1] (numeric) 11.7345813550746 absolute error 1.7763568394002505e-15 relative error 1.513779474230726e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0200000000000005 y[1] (analytic) 11.750860220079545 y[1] (numeric) 11.750860220079547 absolute error 1.7763568394002505e-15 relative error 1.5116823842095076e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000002 y[1] (analytic) 11.767161668032943 y[1] (numeric) 11.767161668032946 absolute error 3.552713678800501e-15 relative error 3.01917639871637e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.04 y[1] (analytic) 11.783485730263118 y[1] (numeric) 11.783485730263122 absolute error 3.552713678800501e-15 relative error 3.0149938313042545e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.05 y[1] (analytic) 11.799832438141854 y[1] (numeric) 11.799832438141857 absolute error 3.552713678800501e-15 relative error 3.01081705814456e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0599999999999996 y[1] (analytic) 11.816201823084457 y[1] (numeric) 11.81620182308446 absolute error 3.552713678800501e-15 relative error 3.006646071210312e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0699999999999994 y[1] (analytic) 11.832593916549813 y[1] (numeric) 11.832593916549817 absolute error 3.552713678800501e-15 relative error 3.002480862485656e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.079999999999999 y[1] (analytic) 11.849008750040447 y[1] (numeric) 11.849008750040452 absolute error 5.329070518200751e-15 relative error 4.497482135948765e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.089999999999999 y[1] (analytic) 11.865446355102593 y[1] (numeric) 11.865446355102598 absolute error 5.329070518200751e-15 relative error 4.4912516214858185e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111205 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0999999999999988 y[1] (analytic) 11.881906763326242 y[1] (numeric) 11.881906763326247 absolute error 5.329070518200751e-15 relative error 4.485029738365765e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1099999999999985 y[1] (analytic) 11.89839000634521 y[1] (numeric) 11.898390006345217 absolute error 7.105427357601002e-15 relative error 5.971755299508419e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999983 y[1] (analytic) 11.9148961158372 y[1] (numeric) 11.914896115837205 absolute error 5.329070518200751e-15 relative error 4.472611818341737e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.129999999999998 y[1] (analytic) 11.931425123523852 y[1] (numeric) 11.931425123523859 absolute error 7.105427357601002e-15 relative error 5.955221010097133e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.139999999999998 y[1] (analytic) 11.94797706117082 y[1] (numeric) 11.947977061170828 absolute error 8.881784197001252e-15 relative error 7.433713800694976e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1499999999999977 y[1] (analytic) 11.964551960587823 y[1] (numeric) 11.964551960587832 absolute error 8.881784197001252e-15 relative error 7.423415624971624e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1599999999999975 y[1] (analytic) 11.981149853628706 y[1] (numeric) 11.981149853628716 absolute error 1.0658141036401503e-14 relative error 8.895758058792241e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699999999999973 y[1] (analytic) 11.997770772191508 y[1] (numeric) 11.997770772191517 absolute error 8.881784197001252e-15 relative error 7.402862052996958e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.179999999999997 y[1] (analytic) 12.014414748218512 y[1] (numeric) 12.014414748218522 absolute error 1.0658141036401503e-14 relative error 8.871127940694643e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.189999999999997 y[1] (analytic) 12.03108181369632 y[1] (numeric) 12.03108181369633 absolute error 1.0658141036401503e-14 relative error 8.858838466436288e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1999999999999966 y[1] (analytic) 12.047772000655902 y[1] (numeric) 12.047772000655913 absolute error 1.0658141036401503e-14 relative error 8.846566017203226e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2099999999999964 y[1] (analytic) 12.064485341172668 y[1] (numeric) 12.064485341172679 absolute error 1.0658141036401503e-14 relative error 8.834310569410109e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.219999999999996 y[1] (analytic) 12.081221867366521 y[1] (numeric) 12.081221867366532 absolute error 1.0658141036401503e-14 relative error 8.822072099504268e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.229999999999996 y[1] (analytic) 12.097981611401924 y[1] (numeric) 12.097981611401936 absolute error 1.2434497875801753e-14 relative error 1.02781590146266e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2399999999999958 y[1] (analytic) 12.114764605487961 y[1] (numeric) 12.114764605487974 absolute error 1.2434497875801753e-14 relative error 1.0263920332524623e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2499999999999956 y[1] (analytic) 12.131570881878398 y[1] (numeric) 12.13157088187841 absolute error 1.2434497875801753e-14 relative error 1.0249701375751639e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2599999999999953 y[1] (analytic) 12.148400472871742 y[1] (numeric) 12.148400472871757 absolute error 1.4210854715202004e-14 relative error 1.1697716705121692e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.269999999999995 y[1] (analytic) 12.165253410811314 y[1] (numeric) 12.165253410811326 absolute error 1.2434497875801753e-14 relative error 1.0221322528925835e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.279999999999995 y[1] (analytic) 12.182129728085291 y[1] (numeric) 12.182129728085306 absolute error 1.4210854715202004e-14 relative error 1.1665328667810513e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2899999999999947 y[1] (analytic) 12.199029457126796 y[1] (numeric) 12.19902945712681 absolute error 1.4210854715202004e-14 relative error 1.1649168292564356e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2999999999999945 y[1] (analytic) 12.215952630413932 y[1] (numeric) 12.215952630413948 absolute error 1.5987211554602254e-14 relative error 1.308715909293808e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999999943 y[1] (analytic) 12.232899280469866 y[1] (numeric) 12.232899280469882 absolute error 1.5987211554602254e-14 relative error 1.3069029007805405e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.319999999999994 y[1] (analytic) 12.249869439862879 y[1] (numeric) 12.249869439862893 absolute error 1.4210854715202004e-14 relative error 1.1600821367906004e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.329999999999994 y[1] (analytic) 12.26686314120643 y[1] (numeric) 12.266863141206445 absolute error 1.4210854715202004e-14 relative error 1.1584750356809136e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3399999999999936 y[1] (analytic) 12.283880417159226 y[1] (numeric) 12.283880417159242 absolute error 1.5987211554602254e-14 relative error 1.3014789310607324e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3499999999999934 y[1] (analytic) 12.300921300425282 y[1] (numeric) 12.300921300425296 absolute error 1.4210854715202004e-14 relative error 1.1552675094922109e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.359999999999993 y[1] (analytic) 12.317985823753972 y[1] (numeric) 12.317985823753988 absolute error 1.5987211554602254e-14 relative error 1.297875463030048e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.369999999999993 y[1] (analytic) 12.335074019940114 y[1] (numeric) 12.335074019940128 absolute error 1.4210854715202004e-14 relative error 1.1520688641373062e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.379999999999993 y[1] (analytic) 12.352185921824008 y[1] (numeric) 12.352185921824024 absolute error 1.5987211554602254e-14 relative error 1.2942819720966014e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3899999999999926 y[1] (analytic) 12.369321562291523 y[1] (numeric) 12.36932156229154 absolute error 1.7763568394002505e-14 relative error 1.4360988437842544e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3999999999999924 y[1] (analytic) 12.386480974274146 y[1] (numeric) 12.386480974274162 absolute error 1.5987211554602254e-14 relative error 1.2906984306363183e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.409999999999992 y[1] (analytic) 12.403664190749046 y[1] (numeric) 12.40366419074906 absolute error 1.4210854715202004e-14 relative error 1.1456981176417857e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.419999999999992 y[1] (analytic) 12.420871244739137 y[1] (numeric) 12.420871244739152 absolute error 1.4210854715202004e-14 relative error 1.144110943201429e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4299999999999917 y[1] (analytic) 12.43810216931315 y[1] (numeric) 12.438102169313167 absolute error 1.5987211554602254e-14 relative error 1.2853417134685822e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4399999999999915 y[1] (analytic) 12.455356997585692 y[1] (numeric) 12.455356997585708 absolute error 1.5987211554602254e-14 relative error 1.2835610860211525e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999913 y[1] (analytic) 12.472635762717305 y[1] (numeric) 12.472635762717319 absolute error 1.4210854715202004e-14 relative error 1.139362600299811e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.459999999999991 y[1] (analytic) 12.489938497914528 y[1] (numeric) 12.489938497914544 absolute error 1.5987211554602254e-14 relative error 1.2800072279996955e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.469999999999991 y[1] (analytic) 12.507265236429978 y[1] (numeric) 12.507265236429992 absolute error 1.4210854715202004e-14 relative error 1.1362079916407282e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4799999999999907 y[1] (analytic) 12.524616011562388 y[1] (numeric) 12.524616011562406 absolute error 1.7763568394002505e-14 relative error 1.4182924552420334e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111205 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4899999999999904 y[1] (analytic) 12.541990856656701 y[1] (numeric) 12.541990856656717 absolute error 1.5987211554602254e-14 relative error 1.2746948819626186e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999999902 y[1] (analytic) 12.559389805104104 y[1] (numeric) 12.55938980510412 absolute error 1.5987211554602254e-14 relative error 1.2729290039317907e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.50999999999999 y[1] (analytic) 12.57681289034211 y[1] (numeric) 12.576812890342127 absolute error 1.7763568394002505e-14 relative error 1.412406191368512e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.51999999999999 y[1] (analytic) 12.594260145854625 y[1] (numeric) 12.59426014585464 absolute error 1.5987211554602254e-14 relative error 1.269404583473243e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5299999999999896 y[1] (analytic) 12.611731605171991 y[1] (numeric) 12.611731605172011 absolute error 1.9539925233402755e-14 relative error 1.5493451529994148e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5399999999999894 y[1] (analytic) 12.629227301871085 y[1] (numeric) 12.629227301871104 absolute error 1.9539925233402755e-14 relative error 1.5471987926377582e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.549999999999989 y[1] (analytic) 12.646747269575346 y[1] (numeric) 12.646747269575368 absolute error 2.1316282072803006e-14 relative error 1.6855149880384037e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.559999999999989 y[1] (analytic) 12.664291541954869 y[1] (numeric) 12.66429154195489 absolute error 2.1316282072803006e-14 relative error 1.6831799869882505e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5699999999999887 y[1] (analytic) 12.681860152726452 y[1] (numeric) 12.681860152726474 absolute error 2.1316282072803006e-14 relative error 1.6808482206942057e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5799999999999885 y[1] (analytic) 12.699453135653664 y[1] (numeric) 12.69945313565369 absolute error 2.4868995751603507e-14 relative error 1.958272965454229e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999999883 y[1] (analytic) 12.717070524546926 y[1] (numeric) 12.71707052454695 absolute error 2.3092638912203256e-14 relative error 1.8158772389937643e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.599999999999988 y[1] (analytic) 12.734712353263548 y[1] (numeric) 12.734712353263571 absolute error 2.3092638912203256e-14 relative error 1.8133616426982163e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.609999999999988 y[1] (analytic) 12.752378655707815 y[1] (numeric) 12.752378655707838 absolute error 2.3092638912203256e-14 relative error 1.8108495313434925e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6199999999999877 y[1] (analytic) 12.770069465831046 y[1] (numeric) 12.77006946583107 absolute error 2.3092638912203256e-14 relative error 1.8083409001017866e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6299999999999875 y[1] (analytic) 12.787784817631659 y[1] (numeric) 12.787784817631682 absolute error 2.3092638912203256e-14 relative error 1.80583574415198e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999999872 y[1] (analytic) 12.805524745155235 y[1] (numeric) 12.805524745155259 absolute error 2.3092638912203256e-14 relative error 1.8033340586796324e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.649999999999987 y[1] (analytic) 12.823289282494587 y[1] (numeric) 12.823289282494612 absolute error 2.4868995751603507e-14 relative error 1.939361672636742e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111205 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.659999999999987 y[1] (analytic) 12.84107846378982 y[1] (numeric) 12.841078463789847 absolute error 2.6645352591003757e-14 relative error 2.0750089383956498e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6699999999999866 y[1] (analytic) 12.858892323228408 y[1] (numeric) 12.858892323228433 absolute error 2.4868995751603507e-14 relative error 1.9339920676277808e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6799999999999864 y[1] (analytic) 12.87673089504524 y[1] (numeric) 12.876730895045268 absolute error 2.842170943040401e-14 relative error 2.2072146775498917e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.689999999999986 y[1] (analytic) 12.89459421352271 y[1] (numeric) 12.894594213522737 absolute error 2.6645352591003757e-14 relative error 2.0663971389701016e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.699999999999986 y[1] (analytic) 12.912482312990761 y[1] (numeric) 12.912482312990788 absolute error 2.6645352591003757e-14 relative error 2.0635344889647495e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7099999999999858 y[1] (analytic) 12.930395227826963 y[1] (numeric) 12.93039522782699 absolute error 2.6645352591003757e-14 relative error 2.0606758046854908e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7199999999999855 y[1] (analytic) 12.94833299245658 y[1] (numeric) 12.948332992456606 absolute error 2.6645352591003757e-14 relative error 2.0578210806384703e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7299999999999853 y[1] (analytic) 12.966295641352623 y[1] (numeric) 12.966295641352653 absolute error 3.019806626980426e-14 relative error 2.3289663528491046e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.739999999999985 y[1] (analytic) 12.984283209035944 y[1] (numeric) 12.984283209035972 absolute error 2.842170943040401e-14 relative error 2.1889317240573545e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.749999999999985 y[1] (analytic) 13.002295730075263 y[1] (numeric) 13.002295730075293 absolute error 3.019806626980426e-14 relative error 2.3225180304085777e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7599999999999847 y[1] (analytic) 13.02033323908727 y[1] (numeric) 13.0203332390873 absolute error 3.019806626980426e-14 relative error 2.319300567450081e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7699999999999845 y[1] (analytic) 13.038395770736674 y[1] (numeric) 13.038395770736702 absolute error 2.842170943040401e-14 relative error 2.179847116943143e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799999999999843 y[1] (analytic) 13.056483359736266 y[1] (numeric) 13.056483359736298 absolute error 3.197442310920451e-14 relative error 2.4489307134421514e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.789999999999984 y[1] (analytic) 13.074596040847004 y[1] (numeric) 13.074596040847036 absolute error 3.197442310920451e-14 relative error 2.445538126708588e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.799999999999984 y[1] (analytic) 13.092733848878062 y[1] (numeric) 13.092733848878092 absolute error 3.019806626980426e-14 relative error 2.306475226515964e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8099999999999836 y[1] (analytic) 13.1108968186869 y[1] (numeric) 13.110896818686932 absolute error 3.197442310920451e-14 relative error 2.4387670463268013e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8199999999999834 y[1] (analytic) 13.129084985179341 y[1] (numeric) 13.129084985179373 absolute error 3.197442310920451e-14 relative error 2.4353885396658315e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.829999999999983 y[1] (analytic) 13.147298383309625 y[1] (numeric) 13.14729838330966 absolute error 3.552713678800501e-14 relative error 2.7022385704051854e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.839999999999983 y[1] (analytic) 13.16553704808049 y[1] (numeric) 13.165537048080527 absolute error 3.730349362740526e-14 relative error 2.8334198210960213e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8499999999999828 y[1] (analytic) 13.183801014543226 y[1] (numeric) 13.183801014543263 absolute error 3.730349362740526e-14 relative error 2.8294945885678403e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8599999999999826 y[1] (analytic) 13.20209031779775 y[1] (numeric) 13.202090317797786 absolute error 3.552713678800501e-14 relative error 2.691023613140325e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8699999999999823 y[1] (analytic) 13.22040499299267 y[1] (numeric) 13.220404992992705 absolute error 3.552713678800501e-14 relative error 2.6872956469061105e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.879999999999982 y[1] (analytic) 13.238745075325351 y[1] (numeric) 13.23874507532539 absolute error 3.907985046680551e-14 relative error 2.951930129664884e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.889999999999982 y[1] (analytic) 13.257110600041997 y[1] (numeric) 13.257110600042036 absolute error 3.907985046680551e-14 relative error 2.9478407207888655e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8999999999999817 y[1] (analytic) 13.2755016024377 y[1] (numeric) 13.275501602437739 absolute error 3.907985046680551e-14 relative error 2.943756977109589e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9099999999999815 y[1] (analytic) 13.293918117856514 y[1] (numeric) 13.29391811785655 absolute error 3.730349362740526e-14 relative error 2.806057123016191e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999999813 y[1] (analytic) 13.312360181691522 y[1] (numeric) 13.312360181691561 absolute error 3.907985046680551e-14 relative error 2.935606453959381e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.929999999999981 y[1] (analytic) 13.330827829384914 y[1] (numeric) 13.330827829384955 absolute error 4.085620730620576e-14 relative error 3.0647914614985223e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.939999999999981 y[1] (analytic) 13.349321096428046 y[1] (numeric) 13.349321096428087 absolute error 4.085620730620576e-14 relative error 3.060545701993631e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9499999999999806 y[1] (analytic) 13.367840018361504 y[1] (numeric) 13.367840018361544 absolute error 4.085620730620576e-14 relative error 3.056305824283309e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9599999999999804 y[1] (analytic) 13.386384630775183 y[1] (numeric) 13.386384630775222 absolute error 3.907985046680551e-14 relative error 2.9193730454271626e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.96999999999998 y[1] (analytic) 13.404954969308346 y[1] (numeric) 13.404954969308385 absolute error 3.907985046680551e-14 relative error 2.91532873898359e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.97999999999998 y[1] (analytic) 13.4235510696497 y[1] (numeric) 13.42355106964974 absolute error 4.085620730620576e-14 relative error 3.043621400493688e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.98999999999998 y[1] (analytic) 13.442172967537461 y[1] (numeric) 13.442172967537502 absolute error 4.085620730620576e-14 relative error 3.03940496859195e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9999999999999796 y[1] (analytic) 13.460820698759424 y[1] (numeric) 13.460820698759465 absolute error 4.085620730620576e-14 relative error 3.035194377856259e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0099999999999794 y[1] (analytic) 13.479494299153028 y[1] (numeric) 13.47949429915307 absolute error 4.085620730620576e-14 relative error 3.030989620194648e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.019999999999979 y[1] (analytic) 13.49819380460543 y[1] (numeric) 13.49819380460547 absolute error 4.085620730620576e-14 relative error 3.026790687526363e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.029999999999979 y[1] (analytic) 13.516919251053569 y[1] (numeric) 13.51691925105361 absolute error 4.085620730620576e-14 relative error 3.0225975717818427e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0399999999999787 y[1] (analytic) 13.535670674484239 y[1] (numeric) 13.535670674484281 absolute error 4.263256414560601e-14 relative error 3.1496454938115193e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0499999999999785 y[1] (analytic) 13.554448110934162 y[1] (numeric) 13.554448110934203 absolute error 4.085620730620576e-14 relative error 3.0142287588417336e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0599999999999783 y[1] (analytic) 13.57325159649004 y[1] (numeric) 13.573251596490083 absolute error 4.263256414560601e-14 relative error 3.1409249171090685e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.069999999999978 y[1] (analytic) 13.592081167288653 y[1] (numeric) 13.592081167288695 absolute error 4.263256414560601e-14 relative error 3.136573687347274e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.079999999999978 y[1] (analytic) 13.610936859516896 y[1] (numeric) 13.610936859516938 absolute error 4.263256414560601e-14 relative error 3.1322284854915715e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0899999999999777 y[1] (analytic) 13.629818709411873 y[1] (numeric) 13.629818709411916 absolute error 4.263256414560601e-14 relative error 3.127889303191297e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0999999999999774 y[1] (analytic) 13.648726753260958 y[1] (numeric) 13.648726753261002 absolute error 4.440892098500626e-14 relative error 3.2537043042784977e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111205 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1099999999999772 y[1] (analytic) 13.667661027401865 y[1] (numeric) 13.667661027401907 absolute error 4.263256414560601e-14 relative error 3.11922896391221e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.119999999999977 y[1] (analytic) 13.686621568222712 y[1] (numeric) 13.686621568222755 absolute error 4.263256414560601e-14 relative error 3.1149077902898503e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.129999999999977 y[1] (analytic) 13.705608412162103 y[1] (numeric) 13.705608412162146 absolute error 4.263256414560601e-14 relative error 3.1105926029357924e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1399999999999766 y[1] (analytic) 13.724621595709188 y[1] (numeric) 13.724621595709232 absolute error 4.440892098500626e-14 relative error 3.2357118682886015e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1499999999999764 y[1] (analytic) 13.743661155403741 y[1] (numeric) 13.743661155403785 absolute error 4.440892098500626e-14 relative error 3.231229326950158e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.159999999999976 y[1] (analytic) 13.762727127836222 y[1] (numeric) 13.762727127836266 absolute error 4.440892098500626e-14 relative error 3.2267529954281843e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.169999999999976 y[1] (analytic) 13.78181954964785 y[1] (numeric) 13.781819549647896 absolute error 4.618527782440651e-14 relative error 3.3511741797248124e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1799999999999757 y[1] (analytic) 13.80093845753068 y[1] (numeric) 13.800938457530727 absolute error 4.618527782440651e-14 relative error 3.3465316845322826e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1899999999999755 y[1] (analytic) 13.820083888227666 y[1] (numeric) 13.820083888227712 absolute error 4.618527782440651e-14 relative error 3.3418956207457195e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1999999999999753 y[1] (analytic) 13.83925587853273 y[1] (numeric) 13.839255878532779 absolute error 4.796163466380676e-14 relative error 3.4656223632806886e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.209999999999975 y[1] (analytic) 13.858454465290846 y[1] (numeric) 13.858454465290894 absolute error 4.796163466380676e-14 relative error 3.460821319139803e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.219999999999975 y[1] (analytic) 13.87767968539809 y[1] (numeric) 13.877679685398139 absolute error 4.796163466380676e-14 relative error 3.456026926048117e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2299999999999747 y[1] (analytic) 13.89693157580173 y[1] (numeric) 13.896931575801778 absolute error 4.796163466380676e-14 relative error 3.4512391747917057e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2399999999999745 y[1] (analytic) 13.916210173500284 y[1] (numeric) 13.916210173500334 absolute error 4.973799150320701e-14 relative error 3.5741046508423517e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2499999999999742 y[1] (analytic) 13.935515515543603 y[1] (numeric) 13.935515515543653 absolute error 4.973799150320701e-14 relative error 3.56915332251107e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.259999999999974 y[1] (analytic) 13.954847639032932 y[1] (numeric) 13.954847639032982 absolute error 4.973799150320701e-14 relative error 3.5642088534227697e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.269999999999974 y[1] (analytic) 13.974206581120985 y[1] (numeric) 13.974206581121035 absolute error 4.973799150320701e-14 relative error 3.55927123407511e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2799999999999736 y[1] (analytic) 13.993592379012012 y[1] (numeric) 13.993592379012064 absolute error 5.1514348342607263e-14 relative error 3.681281185513875e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2899999999999734 y[1] (analytic) 14.013005069961883 y[1] (numeric) 14.013005069961936 absolute error 5.3290705182007514e-14 relative error 3.8029462571337293e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.299999999999973 y[1] (analytic) 14.032444691278146 y[1] (numeric) 14.0324446912782 absolute error 5.5067062021407764e-14 relative error 3.9242671703266824e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.309999999999973 y[1] (analytic) 14.051911280320109 y[1] (numeric) 14.051911280320162 absolute error 5.3290705182007514e-14 relative error 3.792416854826138e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3199999999999728 y[1] (analytic) 14.071404874498898 y[1] (numeric) 14.071404874498953 absolute error 5.5067062021407764e-14 relative error 3.913401860904722e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3299999999999725 y[1] (analytic) 14.090925511277547 y[1] (numeric) 14.090925511277602 absolute error 5.5067062021407764e-14 relative error 3.9079804926465143e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3399999999999723 y[1] (analytic) 14.110473228171054 y[1] (numeric) 14.110473228171111 absolute error 5.684341886080802e-14 relative error 4.0284558810771963e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.349999999999972 y[1] (analytic) 14.130048062746468 y[1] (numeric) 14.130048062746525 absolute error 5.684341886080802e-14 relative error 4.022875124584631e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.359999999999972 y[1] (analytic) 14.149650052622945 y[1] (numeric) 14.149650052623 absolute error 5.5067062021407764e-14 relative error 3.89176140869999e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3699999999999717 y[1] (analytic) 14.16927923547183 y[1] (numeric) 14.169279235471887 absolute error 5.684341886080802e-14 relative error 4.0117367945226435e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3799999999999715 y[1] (analytic) 14.188935649016733 y[1] (numeric) 14.18893564901679 absolute error 5.684341886080802e-14 relative error 4.0061791995474416e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3899999999999713 y[1] (analytic) 14.208619331033587 y[1] (numeric) 14.208619331033645 absolute error 5.861977570020827e-14 relative error 4.1256489694374865e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.399999999999971 y[1] (analytic) 14.228330319350741 y[1] (numeric) 14.2283303193508 absolute error 5.861977570020827e-14 relative error 4.11993356806487e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.409999999999971 y[1] (analytic) 14.248068651849016 y[1] (numeric) 14.248068651849072 absolute error 5.684341886080802e-14 relative error 3.989552566721474e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4199999999999706 y[1] (analytic) 14.267834366461779 y[1] (numeric) 14.267834366461836 absolute error 5.684341886080802e-14 relative error 3.984025704309068e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4299999999999704 y[1] (analytic) 14.287627501175029 y[1] (numeric) 14.287627501175084 absolute error 5.5067062021407764e-14 relative error 3.854178170370063e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.43999999999997 y[1] (analytic) 14.307448094027452 y[1] (numeric) 14.30744809402751 absolute error 5.861977570020827e-14 relative error 4.0971510303559093e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111205 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.44999999999997 y[1] (analytic) 14.327296183110514 y[1] (numeric) 14.327296183110573 absolute error 5.861977570020827e-14 relative error 4.091475108144353e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4599999999999698 y[1] (analytic) 14.347171806568515 y[1] (numeric) 14.347171806568573 absolute error 5.861977570020827e-14 relative error 4.0858070489802445e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4699999999999696 y[1] (analytic) 14.367075002598675 y[1] (numeric) 14.367075002598733 absolute error 5.861977570020827e-14 relative error 4.080146841970637e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4799999999999693 y[1] (analytic) 14.387005809451201 y[1] (numeric) 14.38700580945126 absolute error 5.861977570020827e-14 relative error 4.074494476237675e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.489999999999969 y[1] (analytic) 14.406964265429364 y[1] (numeric) 14.406964265429425 absolute error 6.039613253960852e-14 relative error 4.192148423976712e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.499999999999969 y[1] (analytic) 14.426950408889573 y[1] (numeric) 14.426950408889635 absolute error 6.217248937900877e-14 relative error 4.3094685721453253e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5099999999999687 y[1] (analytic) 14.446964278241444 y[1] (numeric) 14.446964278241508 absolute error 6.394884621840902e-14 relative error 4.4264556197956617e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5199999999999685 y[1] (analytic) 14.467005911947881 y[1] (numeric) 14.467005911947943 absolute error 6.217248937900877e-14 relative error 4.2975367368628993e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5299999999999683 y[1] (analytic) 14.48707534852514 y[1] (numeric) 14.487075348525204 absolute error 6.394884621840902e-14 relative error 4.414199876783228e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.539999999999968 y[1] (analytic) 14.507172626542914 y[1] (numeric) 14.50717262654298 absolute error 6.572520305780927e-14 relative error 4.5305315342808947e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.549999999999968 y[1] (analytic) 14.5272977846244 y[1] (numeric) 14.527297784624468 absolute error 6.750155989720952e-14 relative error 4.646532403889507e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5599999999999676 y[1] (analytic) 14.54745086144638 y[1] (numeric) 14.547450861446444 absolute error 6.394884621840902e-14 relative error 4.3958798574041654e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5699999999999674 y[1] (analytic) 14.567631895739279 y[1] (numeric) 14.567631895739344 absolute error 6.572520305780927e-14 relative error 4.5117287098002857e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.579999999999967 y[1] (analytic) 14.587840926287264 y[1] (numeric) 14.587840926287328 absolute error 6.394884621840902e-14 relative error 4.3837087709925124e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.589999999999967 y[1] (analytic) 14.60807799192829 y[1] (numeric) 14.60807799192836 absolute error 6.927791673660977e-14 relative error 4.742438859847911e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.599999999999967 y[1] (analytic) 14.628343131554214 y[1] (numeric) 14.628343131554283 absolute error 6.927791673660977e-14 relative error 4.735868998531566e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6099999999999666 y[1] (analytic) 14.648636384110825 y[1] (numeric) 14.648636384110892 absolute error 6.750155989720952e-14 relative error 4.608043924854844e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6199999999999664 y[1] (analytic) 14.668957788597945 y[1] (numeric) 14.668957788598012 absolute error 6.750155989720952e-14 relative error 4.601660245397795e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.629999999999966 y[1] (analytic) 14.689307384069503 y[1] (numeric) 14.68930738406957 absolute error 6.750155989720952e-14 relative error 4.595285409468298e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.639999999999966 y[1] (analytic) 14.709685209633598 y[1] (numeric) 14.709685209633669 absolute error 7.105427357601002e-14 relative error 4.830441478752753e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6499999999999657 y[1] (analytic) 14.730091304452598 y[1] (numeric) 14.730091304452666 absolute error 6.750155989720952e-14 relative error 4.582562219203978e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6599999999999655 y[1] (analytic) 14.750525707743178 y[1] (numeric) 14.750525707743247 absolute error 6.927791673660977e-14 relative error 4.69664052042856e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6699999999999653 y[1] (analytic) 14.77098845877643 y[1] (numeric) 14.7709884587765 absolute error 7.105427357601002e-14 relative error 4.810393953953158e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.679999999999965 y[1] (analytic) 14.791479596877926 y[1] (numeric) 14.791479596877995 absolute error 6.927791673660977e-14 relative error 4.683636703337807e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.689999999999965 y[1] (analytic) 14.811999161427782 y[1] (numeric) 14.811999161427853 absolute error 7.105427357601002e-14 relative error 4.797075182197137e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6999999999999647 y[1] (analytic) 14.832547191860753 y[1] (numeric) 14.832547191860826 absolute error 7.283063041541027e-14 relative error 4.91019037211461e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7099999999999644 y[1] (analytic) 14.8531237276663 y[1] (numeric) 14.853123727666373 absolute error 7.283063041541027e-14 relative error 4.903388118941718e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7199999999999642 y[1] (analytic) 14.873728808388666 y[1] (numeric) 14.873728808388737 absolute error 7.105427357601002e-14 relative error 4.777166135766571e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.729999999999964 y[1] (analytic) 14.894362473626943 y[1] (numeric) 14.894362473627016 absolute error 7.283063041541027e-14 relative error 4.88981186971712e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.739999999999964 y[1] (analytic) 14.915024763035165 y[1] (numeric) 14.915024763035241 absolute error 7.638334409421077e-14 relative error 5.121234815748772e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7499999999999636 y[1] (analytic) 14.935715716322383 y[1] (numeric) 14.935715716322457 absolute error 7.460698725481052e-14 relative error 4.995206702634066e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7599999999999634 y[1] (analytic) 14.95643537325272 y[1] (numeric) 14.956435373252795 absolute error 7.460698725481052e-14 relative error 4.988286673456539e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.769999999999963 y[1] (analytic) 14.97718377364547 y[1] (numeric) 14.977183773645546 absolute error 7.638334409421077e-14 relative error 5.099980426802158e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.779999999999963 y[1] (analytic) 14.997960957375167 y[1] (numeric) 14.997960957375243 absolute error 7.638334409421077e-14 relative error 5.09291525103282e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7899999999999627 y[1] (analytic) 15.018766964371656 y[1] (numeric) 15.018766964371734 absolute error 7.815970093361102e-14 relative error 5.204135673655884e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7999999999999625 y[1] (analytic) 15.039601834620184 y[1] (numeric) 15.03960183462026 absolute error 7.638334409421077e-14 relative error 5.078814248817498e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8099999999999623 y[1] (analytic) 15.060465608161456 y[1] (numeric) 15.060465608161534 absolute error 7.815970093361102e-14 relative error 5.189726730045802e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.819999999999962 y[1] (analytic) 15.081358325091736 y[1] (numeric) 15.081358325091813 absolute error 7.638334409421077e-14 relative error 5.064752288732994e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.829999999999962 y[1] (analytic) 15.102280025562901 y[1] (numeric) 15.10228002556298 absolute error 7.815970093361102e-14 relative error 5.175357681178859e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8399999999999617 y[1] (analytic) 15.123230749782536 y[1] (numeric) 15.123230749782616 absolute error 7.993605777301127e-14 relative error 5.285646902806182e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8499999999999615 y[1] (analytic) 15.144210538013999 y[1] (numeric) 15.144210538014082 absolute error 8.348877145181177e-14 relative error 5.512916717728122e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8599999999999612 y[1] (analytic) 15.165219430576514 y[1] (numeric) 15.165219430576595 absolute error 8.171241461241152e-14 relative error 5.388145881203724e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.869999999999961 y[1] (analytic) 15.186257467845222 y[1] (numeric) 15.186257467845303 absolute error 8.171241461241152e-14 relative error 5.380681500061891e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.879999999999961 y[1] (analytic) 15.207324690251289 y[1] (numeric) 15.207324690251369 absolute error 7.993605777301127e-14 relative error 5.256418166980717e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8899999999999606 y[1] (analytic) 15.228421138281956 y[1] (numeric) 15.22842113828204 absolute error 8.348877145181177e-14 relative error 5.482431218160469e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8999999999999604 y[1] (analytic) 15.249546852480643 y[1] (numeric) 15.249546852480728 absolute error 8.526512829121202e-14 relative error 5.591322097373795e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.90999999999996 y[1] (analytic) 15.270701873447011 y[1] (numeric) 15.270701873447095 absolute error 8.348877145181177e-14 relative error 5.467251744137815e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.91999999999996 y[1] (analytic) 15.291886241837037 y[1] (numeric) 15.29188624183712 absolute error 8.348877145181177e-14 relative error 5.459677774962453e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9299999999999597 y[1] (analytic) 15.313099998363104 y[1] (numeric) 15.313099998363187 absolute error 8.348877145181177e-14 relative error 5.452114298263338e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9399999999999595 y[1] (analytic) 15.334343183794067 y[1] (numeric) 15.334343183794154 absolute error 8.704148513061227e-14 relative error 5.676244759058289e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9499999999999593 y[1] (analytic) 15.355615838955348 y[1] (numeric) 15.355615838955435 absolute error 8.704148513061227e-14 relative error 5.66838126477471e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.959999999999959 y[1] (analytic) 15.376918004729 y[1] (numeric) 15.376918004729085 absolute error 8.526512829121202e-14 relative error 5.545007670912317e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111205 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.969999999999959 y[1] (analytic) 15.39824972205378 y[1] (numeric) 15.398249722053867 absolute error 8.704148513061227e-14 relative error 5.652686941811909e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9799999999999587 y[1] (analytic) 15.419611031925255 y[1] (numeric) 15.419611031925342 absolute error 8.704148513061227e-14 relative error 5.644856082971146e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9899999999999585 y[1] (analytic) 15.441001975395848 y[1] (numeric) 15.441001975395936 absolute error 8.881784197001252e-14 relative error 5.75207762498428e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112054 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9999999999999583 y[1] (analytic) 15.462422593574944 y[1] (numeric) 15.462422593575033 absolute error 8.881784197001252e-14 relative error 5.744109076860876e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.009999999999958 y[1] (analytic) 15.483872927628951 y[1] (numeric) 15.483872927629038 absolute error 8.704148513061227e-14 relative error 5.621428536480566e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.019999999999958 y[1] (analytic) 15.50535301878138 y[1] (numeric) 15.50535301878147 absolute error 9.059419880941277e-14 relative error 5.842769184273167e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.029999999999958 y[1] (analytic) 15.526862908312944 y[1] (numeric) 15.526862908313033 absolute error 8.881784197001252e-14 relative error 5.720269605939538e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039999999999957 y[1] (analytic) 15.548402637561606 y[1] (numeric) 15.548402637561699 absolute error 9.237055564881302e-14 relative error 5.940838927444905e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049999999999957 y[1] (analytic) 15.569972247922694 y[1] (numeric) 15.569972247922784 absolute error 9.059419880941277e-14 relative error 5.818520249546343e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.059999999999957 y[1] (analytic) 15.591571780848945 y[1] (numeric) 15.591571780849035 absolute error 9.059419880941277e-14 relative error 5.810459656202796e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.069999999999957 y[1] (analytic) 15.613201277850608 y[1] (numeric) 15.6132012778507 absolute error 9.237055564881302e-14 relative error 5.916182979069954e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0799999999999566 y[1] (analytic) 15.634860780495522 y[1] (numeric) 15.634860780495615 absolute error 9.237055564881302e-14 relative error 5.907987090236532e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.089999999999956 y[1] (analytic) 15.656550330409182 y[1] (numeric) 15.656550330409278 absolute error 9.592326932761353e-14 relative error 6.126718038347505e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.099999999999956 y[1] (analytic) 15.67826996927484 y[1] (numeric) 15.678269969274934 absolute error 9.414691248821327e-14 relative error 6.004929923563997e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.109999999999956 y[1] (analytic) 15.700019738833562 y[1] (numeric) 15.700019738833655 absolute error 9.237055564881302e-14 relative error 5.883467485097297e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.119999999999956 y[1] (analytic) 15.721799680884322 y[1] (numeric) 15.721799680884416 absolute error 9.414691248821327e-14 relative error 5.988303781957212e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1299999999999555 y[1] (analytic) 15.743609837284087 y[1] (numeric) 15.74360983728418 absolute error 9.414691248821327e-14 relative error 5.98000798173073e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.139999999999955 y[1] (analytic) 15.765450249947879 y[1] (numeric) 15.765450249947977 absolute error 9.769962616701378e-14 relative error 6.19707173712573e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.149999999999955 y[1] (analytic) 15.78732096084888 y[1] (numeric) 15.787320960848977 absolute error 9.592326932761353e-14 relative error 6.075968783145317e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.159999999999955 y[1] (analytic) 15.80922201201849 y[1] (numeric) 15.809222012018585 absolute error 9.592326932761353e-14 relative error 6.067551537620935e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.169999999999955 y[1] (analytic) 15.831153445546418 y[1] (numeric) 15.831153445546514 absolute error 9.592326932761353e-14 relative error 6.059145952792115e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.179999999999954 y[1] (analytic) 15.853115303580763 y[1] (numeric) 15.85311530358086 absolute error 9.769962616701378e-14 relative error 6.162802975699434e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.189999999999954 y[1] (analytic) 15.875107628328099 y[1] (numeric) 15.875107628328198 absolute error 9.947598300641403e-14 relative error 6.266161171021328e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.199999999999954 y[1] (analytic) 15.89713046205355 y[1] (numeric) 15.897130462053648 absolute error 9.769962616701378e-14 relative error 6.145739723293004e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.209999999999954 y[1] (analytic) 15.919183847080863 y[1] (numeric) 15.919183847080962 absolute error 9.947598300641403e-14 relative error 6.248811745751348e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.219999999999954 y[1] (analytic) 15.94126782579251 y[1] (numeric) 15.94126782579261 absolute error 9.947598300641403e-14 relative error 6.24015505501167e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.229999999999953 y[1] (analytic) 15.963382440629752 y[1] (numeric) 15.963382440629854 absolute error 1.0125233984581428e-13 relative error 6.342787327334112e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.239999999999953 y[1] (analytic) 15.985527734092733 y[1] (numeric) 15.985527734092834 absolute error 1.0125233984581428e-13 relative error 6.334000449035592e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.249999999999953 y[1] (analytic) 16.007703748740546 y[1] (numeric) 16.00770374874065 absolute error 1.0302869668521453e-13 relative error 6.436194616190383e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111205 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.259999999999953 y[1] (analytic) 16.02991052719134 y[1] (numeric) 16.02991052719144 absolute error 9.947598300641403e-14 relative error 6.205648050104468e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2699999999999525 y[1] (analytic) 16.052148112122367 y[1] (numeric) 16.052148112122467 absolute error 9.947598300641403e-14 relative error 6.197051155495575e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111205 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.279999999999952 y[1] (analytic) 16.074416546270097 y[1] (numeric) 16.074416546270196 absolute error 9.947598300641403e-14 relative error 6.188466170456209e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.289999999999952 y[1] (analytic) 16.09671587243028 y[1] (numeric) 16.09671587243038 absolute error 9.947598300641403e-14 relative error 6.17989307848764e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.299999999999952 y[1] (analytic) 16.119046133458035 y[1] (numeric) 16.119046133458138 absolute error 1.0302869668521453e-13 relative error 6.391736572510924e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.309999999999952 y[1] (analytic) 16.141407372267942 y[1] (numeric) 16.14140737226804 absolute error 9.947598300641403e-14 relative error 6.162782507882223e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.319999999999951 y[1] (analytic) 16.163799631834095 y[1] (numeric) 16.1637996318342 absolute error 1.0302869668521453e-13 relative error 6.374039460517857e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.329999999999951 y[1] (analytic) 16.186222955190228 y[1] (numeric) 16.186222955190328 absolute error 9.947598300641403e-14 relative error 6.145719312146034e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.339999999999951 y[1] (analytic) 16.208677385429745 y[1] (numeric) 16.208677385429848 absolute error 1.0302869668521453e-13 relative error 6.356391347379692e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.349999999999951 y[1] (analytic) 16.23116296570586 y[1] (numeric) 16.231162965705963 absolute error 1.0302869668521453e-13 relative error 6.347585622971042e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.359999999999951 y[1] (analytic) 16.253679739231636 y[1] (numeric) 16.25367973923174 absolute error 1.0302869668521453e-13 relative error 6.338792097430918e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.36999999999995 y[1] (analytic) 16.27622774928009 y[1] (numeric) 16.27622774928019 absolute error 9.947598300641403e-14 relative error 6.111734520968099e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.37999999999995 y[1] (analytic) 16.29880703918426 y[1] (numeric) 16.29880703918436 absolute error 9.947598300641403e-14 relative error 6.10326772795469e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.38999999999995 y[1] (analytic) 16.321417652337306 y[1] (numeric) 16.32141765233741 absolute error 1.0302869668521453e-13 relative error 6.312484545143683e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.39999999999995 y[1] (analytic) 16.344059632192586 y[1] (numeric) 16.34405963219269 absolute error 1.0302869668521453e-13 relative error 6.303739646316564e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4099999999999495 y[1] (analytic) 16.366733022263737 y[1] (numeric) 16.36673302226384 absolute error 1.0302869668521453e-13 relative error 6.295006862094233e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.419999999999949 y[1] (analytic) 16.38943786612476 y[1] (numeric) 16.38943786612486 absolute error 1.0302869668521453e-13 relative error 6.28628617569392e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.429999999999949 y[1] (analytic) 16.412174207410104 y[1] (numeric) 16.412174207410207 absolute error 1.0302869668521453e-13 relative error 6.277577570356097e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.439999999999949 y[1] (analytic) 16.434942089814747 y[1] (numeric) 16.434942089814854 absolute error 1.0658141036401503e-13 relative error 6.485049340701169e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.449999999999949 y[1] (analytic) 16.457741557094295 y[1] (numeric) 16.4577415570944 absolute error 1.0658141036401503e-13 relative error 6.476065382012996e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4599999999999485 y[1] (analytic) 16.480572653065042 y[1] (numeric) 16.48057265306515 absolute error 1.0658141036401503e-13 relative error 6.46709386910734e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.469999999999948 y[1] (analytic) 16.50343542160407 y[1] (numeric) 16.503435421604177 absolute error 1.0658141036401503e-13 relative error 6.458134784742638e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.479999999999948 y[1] (analytic) 16.526329906649334 y[1] (numeric) 16.526329906649437 absolute error 1.0302869668521453e-13 relative error 6.234215174644502e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.489999999999948 y[1] (analytic) 16.549256152199728 y[1] (numeric) 16.549256152199835 absolute error 1.0658141036401503e-13 relative error 6.440253832789229e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.499999999999948 y[1] (analytic) 16.572214202315205 y[1] (numeric) 16.572214202315312 absolute error 1.0658141036401503e-13 relative error 6.431331930836688e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.509999999999947 y[1] (analytic) 16.595204101116824 y[1] (numeric) 16.595204101116934 absolute error 1.1013412404281553e-13 relative error 6.636503134987278e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.519999999999947 y[1] (analytic) 16.618225892786864 y[1] (numeric) 16.61822589278697 absolute error 1.0658141036401503e-13 relative error 6.413525189248791e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.529999999999947 y[1] (analytic) 16.64127962156888 y[1] (numeric) 16.641279621568987 absolute error 1.0658141036401503e-13 relative error 6.404640315392219e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.539999999999947 y[1] (analytic) 16.66436533176781 y[1] (numeric) 16.664365331767925 absolute error 1.1368683772161603e-13 relative error 6.822152266722764e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5499999999999465 y[1] (analytic) 16.687483067750073 y[1] (numeric) 16.687483067750186 absolute error 1.1368683772161603e-13 relative error 6.812701307923731e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.559999999999946 y[1] (analytic) 16.710632873943606 y[1] (numeric) 16.71063287394372 absolute error 1.1368683772161603e-13 relative error 6.8032634418583e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111205 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.569999999999946 y[1] (analytic) 16.733814794838 y[1] (numeric) 16.73381479483811 absolute error 1.1013412404281553e-13 relative error 6.581531192564016e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.579999999999946 y[1] (analytic) 16.757028874984552 y[1] (numeric) 16.757028874984663 absolute error 1.1013412404281553e-13 relative error 6.572413574295823e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.589999999999946 y[1] (analytic) 16.78027515899637 y[1] (numeric) 16.78027515899648 absolute error 1.1013412404281553e-13 relative error 6.563308586973293e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5999999999999455 y[1] (analytic) 16.80355369154845 y[1] (numeric) 16.803553691548565 absolute error 1.1368683772161603e-13 relative error 6.765642542553138e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.609999999999945 y[1] (analytic) 16.82686451737777 y[1] (numeric) 16.82686451737788 absolute error 1.1013412404281553e-13 relative error 6.54513643519716e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.619999999999945 y[1] (analytic) 16.850207681283354 y[1] (numeric) 16.850207681283464 absolute error 1.1013412404281553e-13 relative error 6.536069235820092e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.629999999999945 y[1] (analytic) 16.873583228126385 y[1] (numeric) 16.8735832281265 absolute error 1.1368683772161603e-13 relative error 6.737563455526905e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.639999999999945 y[1] (analytic) 16.896991202830282 y[1] (numeric) 16.896991202830396 absolute error 1.1368683772161603e-13 relative error 6.728229680475494e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.649999999999944 y[1] (analytic) 16.920431650380777 y[1] (numeric) 16.92043165038089 absolute error 1.1368683772161603e-13 relative error 6.718908835819068e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.659999999999944 y[1] (analytic) 16.943904615826014 y[1] (numeric) 16.943904615826128 absolute error 1.1368683772161603e-13 relative error 6.709600903644712e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.669999999999944 y[1] (analytic) 16.967410144276627 y[1] (numeric) 16.96741014427674 absolute error 1.1368683772161603e-13 relative error 6.700305866064325e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.679999999999944 y[1] (analytic) 16.99094828090583 y[1] (numeric) 16.990948280905943 absolute error 1.1368683772161603e-13 relative error 6.691023705214592e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6899999999999435 y[1] (analytic) 17.014519070949504 y[1] (numeric) 17.01451907094962 absolute error 1.1723955140041653e-13 relative error 6.890559228358719e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.699999999999943 y[1] (analytic) 17.038122559706288 y[1] (numeric) 17.038122559706405 absolute error 1.1723955140041653e-13 relative error 6.881013503076806e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.709999999999943 y[1] (analytic) 17.061758792537656 y[1] (numeric) 17.061758792537777 absolute error 1.2079226507921703e-13 relative error 7.079707698836314e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.719999999999943 y[1] (analytic) 17.08542781486802 y[1] (numeric) 17.085427814868137 absolute error 1.1723955140041653e-13 relative error 6.861961706243771e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729999999999943 y[1] (analytic) 17.109129672184785 y[1] (numeric) 17.109129672184906 absolute error 1.2079226507921703e-13 relative error 7.060105767717419e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7399999999999425 y[1] (analytic) 17.132864410038486 y[1] (numeric) 17.132864410038607 absolute error 1.2079226507921703e-13 relative error 7.050325163867078e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111205 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749999999999942 y[1] (analytic) 17.156632074042832 y[1] (numeric) 17.156632074042953 absolute error 1.2079226507921703e-13 relative error 7.040558109418804e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999942 y[1] (analytic) 17.180432709874815 y[1] (numeric) 17.180432709874935 absolute error 1.2079226507921703e-13 relative error 7.030804585602151e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999942 y[1] (analytic) 17.204266363274787 y[1] (numeric) 17.204266363274908 absolute error 1.2079226507921703e-13 relative error 7.021064573672675e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.779999999999942 y[1] (analytic) 17.22813308004656 y[1] (numeric) 17.228133080046682 absolute error 1.2079226507921703e-13 relative error 7.011338054911901e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999941 y[1] (analytic) 17.252032906057483 y[1] (numeric) 17.252032906057607 absolute error 1.2434497875801753e-13 relative error 7.207555157998678e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999941 y[1] (analytic) 17.27596588723854 y[1] (numeric) 17.275965887238666 absolute error 1.2434497875801753e-13 relative error 7.197570287509599e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (analytic) 17.299932069584433 y[1] (numeric) 17.299932069584557 absolute error 1.2434497875801753e-13 relative error 7.187599249400085e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.819999999999941 y[1] (analytic) 17.323931499153666 y[1] (numeric) 17.323931499153787 absolute error 1.2079226507921703e-13 relative error 6.972566538093167e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.829999999999941 y[1] (analytic) 17.347964222068637 y[1] (numeric) 17.347964222068757 absolute error 1.2079226507921703e-13 relative error 6.962907205305114e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.83999999999994 y[1] (analytic) 17.372030284515724 y[1] (numeric) 17.372030284515848 absolute error 1.2434497875801753e-13 relative error 7.157768937856988e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.84999999999994 y[1] (analytic) 17.396129732745393 y[1] (numeric) 17.396129732745518 absolute error 1.2434497875801753e-13 relative error 7.147853037906373e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.85999999999994 y[1] (analytic) 17.42026261307226 y[1] (numeric) 17.420262613072385 absolute error 1.2434497875801753e-13 relative error 7.137950874788098e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.86999999999994 y[1] (analytic) 17.444428971875194 y[1] (numeric) 17.44442897187532 absolute error 1.2434497875801753e-13 relative error 7.128062429472063e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8799999999999395 y[1] (analytic) 17.468628855597398 y[1] (numeric) 17.468628855597522 absolute error 1.2434497875801753e-13 relative error 7.118187682954532e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.889999999999939 y[1] (analytic) 17.492862310746506 y[1] (numeric) 17.492862310746634 absolute error 1.2789769243681803e-13 relative error 7.311421662436901e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.899999999999939 y[1] (analytic) 17.517129383894677 y[1] (numeric) 17.517129383894805 absolute error 1.2789769243681803e-13 relative error 7.301292902158256e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.909999999999939 y[1] (analytic) 17.54143012167867 y[1] (numeric) 17.541430121678797 absolute error 1.2789769243681803e-13 relative error 7.291178173594581e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.919999999999939 y[1] (analytic) 17.565764570799942 y[1] (numeric) 17.56576457080007 absolute error 1.2789769243681803e-13 relative error 7.281077457307262e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111205 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.929999999999938 y[1] (analytic) 17.590132778024746 y[1] (numeric) 17.59013277802487 absolute error 1.2434497875801753e-13 relative error 7.06901876905449e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.939999999999938 y[1] (analytic) 17.614534790184187 y[1] (numeric) 17.61453479018432 absolute error 1.3145040611561853e-13 relative error 7.462610150162473e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.949999999999938 y[1] (analytic) 17.638970654174372 y[1] (numeric) 17.638970654174503 absolute error 1.3145040611561853e-13 relative error 7.452271943346648e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.3368801111204 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.959999999999938 y[1] (analytic) 17.66344041695644 y[1] (numeric) 17.66344041695657 absolute error 1.2789769243681803e-13 relative error 7.240814327091091e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.969999999999938 y[1] (analytic) 17.68794412555668 y[1] (numeric) 17.687944125556808 absolute error 1.2789769243681803e-13 relative error 7.230783381547617e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979999999999937 y[1] (analytic) 17.71248182706662 y[1] (numeric) 17.712481827066753 absolute error 1.3145040611561853e-13 relative error 7.421343174774517e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112048 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.989999999999937 y[1] (analytic) 17.737053568643127 y[1] (numeric) 17.73705356864326 absolute error 1.3500311979441904e-13 relative error 7.611361113160729e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112042 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.999999999999937 y[1] (analytic) 17.761659397508474 y[1] (numeric) 17.76165939750861 absolute error 1.3500311979441904e-13 relative error 7.600816836593357e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 180.33688011112045 Order of pole (ratio test) 1.0 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = expt ( 2.0 , ( 0.2 * x + 0.3 ) ) ; Iterations 401 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 30 Minutes 0.0 Seconds Percent Done 100.49999999999841%