##############ECHO OF PROBLEM################# ##############temp/div_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) / 2.0 ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-5.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(neg(cos(c(x)))/c(2.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -5.0 y[1] (closed_form) -0.14183109273161312 y[1] (numeric) -0.14183109273161312 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27201055544468467 Order of pole (three term test) 32.919535764538224 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.989999999999997 y[1] (closed_form) -0.13702945977271203 y[1] (numeric) -0.13702945977271364 absolute error 1.609823385706477e-15 relative error 1.1748009430794358e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26356599922604024 Order of pole (three term test) 32.9248917086176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.979999999999993 y[1] (closed_form) -0.13221412398202445 y[1] (numeric) -0.13221412398202767 absolute error 3.219646771412954e-15 relative error 2.43517611768217e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2550160201218711 Order of pole (three term test) 32.93007770167867 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.96999999999999 y[1] (closed_form) -0.12738556688911676 y[1] (numeric) -0.12738556688912156 absolute error 4.801714581503802e-15 relative error 3.7694337739874976e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2463640380098216 Order of pole (three term test) 32.93509166939336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.959999999999987 y[1] (closed_form) -0.12254427134567442 y[1] (numeric) -0.12254427134568084 absolute error 6.4254157550180935e-15 relative error 5.243342413692436e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2376135135673782 Order of pole (three term test) 32.93993160624143 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.949999999999983 y[1] (closed_form) -0.11769072147721739 y[1] (numeric) -0.11769072147722544 absolute error 8.049116928532385e-15 relative error 6.839211135340466e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22876794688764576 Order of pole (three term test) 32.944595576312686 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.93999999999998 y[1] (closed_form) -0.1128254026346879 y[1] (numeric) -0.11282540263469756 absolute error 9.658940314238862e-15 relative error 8.560962415098215e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2198308760793568 Order of pole (three term test) 32.94908171408128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.929999999999977 y[1] (closed_form) -0.1079488013459158 y[1] (numeric) -0.10794880134592708 absolute error 1.1268763699945339e-14 relative error 1.0438989186952827e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21080587585167535 Order of pole (three term test) 32.95338822515191 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.919999999999973 y[1] (closed_form) -0.10306140526696614 y[1] (numeric) -0.10306140526697906 absolute error 1.292022044907526e-14 relative error 1.2536429535001233e-11% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20169655608436046 Order of pole (three term test) 32.95751338697759 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.90999999999997 y[1] (closed_form) -0.09816370313337398 y[1] (numeric) -0.09816370313338856 absolute error 1.457167719820518e-14 relative error 1.4844261914617052e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19250656038386338 Order of pole (three term test) 32.96145554954857 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.899999999999967 y[1] (closed_form) -0.0932561847112713 y[1] (numeric) -0.0932561847112875 absolute error 1.619537837171947e-14 relative error 1.7366546167272095e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18323956462593277 Order of pole (three term test) 32.96521313605239 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.889999999999963 y[1] (closed_form) -0.08833934074841071 y[1] (numeric) -0.08833934074842854 absolute error 1.7832957333041577e-14 relative error 2.0186880705652544e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17389927548531345 Order of pole (three term test) 32.96878464350454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.87999999999996 y[1] (closed_form) -0.08341366292509114 y[1] (numeric) -0.08341366292511061 absolute error 1.9470536294363683e-14 relative error 2.3342142775637385e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1644894289531259 Order of pole (three term test) 32.972168643349676 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.869999999999957 y[1] (closed_form) -0.07847964380499022 y[1] (numeric) -0.07847964380501134 absolute error 2.1121993043493603e-14 relative error 2.6913976694362288e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1550137888425201 Order of pole (three term test) 32.975363782032964 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.859999999999953 y[1] (closed_form) -0.07353777678590828 y[1] (numeric) -0.07353777678593103 absolute error 2.2745694217007895e-14 relative error 3.093062533455125e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14547614528320033 Order of pole (three term test) 32.97836878154154 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.84999999999995 y[1] (closed_form) -0.06858855605042902 y[1] (numeric) -0.06858855605045341 absolute error 2.4397150966137815e-14 relative error 3.557029389596723e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13588031320542338 Order of pole (three term test) 32.98118243991567 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.839999999999947 y[1] (closed_form) -0.06363247651650164 y[1] (numeric) -0.0636324765165277 absolute error 2.606248550307555e-14 relative error 4.095783620226825e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1262301308140775 Order of pole (three term test) 32.9838036317295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.829999999999943 y[1] (closed_form) -0.0586700337879495 y[1] (numeric) -0.058670033787977215 absolute error 2.771394225220547e-14 relative error 4.72369631699407e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11652945805345187 Order of pole (three term test) 32.986231308541285 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.81999999999994 y[1] (closed_form) -0.0537017241049101 y[1] (numeric) -0.053701724104939466 absolute error 2.936539900133539e-14 relative error 5.4682413815928916e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10678217506331042 Order of pole (three term test) 32.98846449931264 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.8099999999999365 y[1] (closed_form) -0.04872804429421149 y[1] (numeric) -0.048728044294242503 absolute error 3.101685575046531e-14 relative error 6.365298710367055e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09699218062688676 Order of pole (three term test) 32.99050231079705 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.799999999999933 y[1] (closed_form) -0.04374949171969002 y[1] (numeric) -0.04374949171972269 absolute error 3.267525139349914e-14 relative error 7.468715660253768e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08716339061142415 Order of pole (three term test) 32.99234392789708 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.78999999999993 y[1] (closed_form) -0.038766564232454365 y[1] (numeric) -0.03876656423248871 absolute error 3.434752482434078e-14 relative error 8.860090003948795e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07729973640188015 Order of pole (three term test) 32.993988613990446 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.7799999999999265 y[1] (closed_form) -0.03377976012110083 y[1] (numeric) -0.03377976012113684 absolute error 3.6012859361278515e-14 relative error 1.0661076109531862e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06740516332842472 Order of pole (three term test) 32.995435711224644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.769999999999923 y[1] (closed_form) -0.028789578061884882 y[1] (numeric) -0.028789578061922564 absolute error 3.7681663345168204e-14 relative error 1.3088647309859584e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05748362908836138 Order of pole (three term test) 32.996684640780074 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.75999999999992 y[1] (closed_form) -0.023796517068853985 y[1] (numeric) -0.02379651706889333 absolute error 3.934699788210594e-14 relative error 1.6534771777003099e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.047539102163100866 Order of pole (three term test) 32.997734903101566 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.7499999999999165 y[1] (closed_form) -0.018801076443946563 y[1] (numeric) -0.018801076443987583 absolute error 4.101927131294758e-14 relative error 2.1817512117054697e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03757556023082136 Order of pole (three term test) 32.99858607809819 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.739999999999913 y[1] (closed_form) -0.013803755727062257 y[1] (numeric) -0.013803755727104945 absolute error 4.268807529683727e-14 relative error 3.09249715373819e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.027596988575450322 Order of pole (three term test) 32.99923782531131 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.72999999999991 y[1] (closed_form) -0.008805054646108335 y[1] (numeric) -0.00880505464615269 absolute error 4.435514455725098e-14 relative error 5.037463859109052e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017607378492604055 Order of pole (three term test) 32.99968988405072 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] -4.719395531910257 y[1] (closed_form) -0.003503247099189137 y[1] (numeric) -0.0035032470992348544 absolute error 4.571733616676177e-14 relative error 1.3049989016573658e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.0007784707755965339 SETTING H FOR POLE NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.007006322218501029 Order of pole (three term test) 32.99995090903905 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] -4.710014322021702 y[1] (closed_form) 0.001187328065602291 y[1] (numeric) 0.001187328065551808 absolute error 5.048305523613905e-14 relative error 4.251820259174175e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.6999220008351115 y[1] (closed_form) 0.006233328302084383 y[1] (numeric) 0.006233328302024315 absolute error 6.00682698026489e-14 relative error 9.636628602180712e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.689829679648521 y[1] (closed_form) 0.011278693648631967 y[1] (numeric) 0.011278693648562313 absolute error 6.965435173089674e-14 relative error 6.175746402983945e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.679935247112648 y[1] (closed_form) 0.01622401830886463 y[1] (numeric) 0.01622401830878558 absolute error 7.90513488002631e-14 relative error 4.872488880086525e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.669842925926058 y[1] (closed_form) 0.021266609855742406 y[1] (numeric) 0.02126660985565377 absolute error 8.863743072851094e-14 relative error 4.167915400233718e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.659948493390185 y[1] (closed_form) 0.026208227517533426 y[1] (numeric) 0.026208227517435394 absolute error 9.803269307440132e-14 relative error 3.7405312132923526e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.649856172203594 y[1] (closed_form) 0.03124603096611625 y[1] (numeric) 0.031246030966008656 absolute error 1.0759448887398548e-13 relative error 3.4434609947952385e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.639961739667721 y[1] (closed_form) 0.03618196766556838 y[1] (numeric) 0.03618196766545146 absolute error 1.169203622808368e-13 relative error 3.231453948594979e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.629869418481131 y[1] (closed_form) 0.041212970629870616 y[1] (numeric) 0.04121297062974413 absolute error 1.2648215808042096e-13 relative error 3.0689891106453843e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.619974985945258 y[1] (closed_form) 0.046141254672386924 y[1] (numeric) 0.04614125467225109 absolute error 1.358357870628879e-13 relative error 2.9439118642818e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.6098826647586675 y[1] (closed_form) 0.051163447482924174 y[1] (numeric) 0.051163447482778776 absolute error 1.4539758286247206e-13 relative error 2.8418253658727467e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.5999882322227945 y[1] (closed_form) 0.056082110230815316 y[1] (numeric) 0.05608211023066057 absolute error 1.547442729510351e-13 relative error 2.7592448343002633e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.589895911036204 y[1] (closed_form) 0.06109348673738099 y[1] (numeric) 0.061093486737216714 absolute error 1.6427831317500363e-13 relative error 2.6889660739315345e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.580001478500331 y[1] (closed_form) 0.06600056339625136 y[1] (numeric) 0.06600056339607778 absolute error 1.7358336990014323e-13 relative error 2.6300286083618834e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.569909157313741 y[1] (closed_form) 0.07099912176928752 y[1] (numeric) 0.07099912176910443 absolute error 1.8308965454849613e-13 relative error 2.578759426679222e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.560014724777868 y[1] (closed_form) 0.0758926521728862 y[1] (numeric) 0.07589265217269382 absolute error 1.92373894591924e-13 relative error 2.5348158100166185e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.549922403591277 y[1] (closed_form) 0.08087639570312836 y[1] (numeric) 0.08087639570292653 absolute error 2.0183854587685346e-13 relative error 2.4956421972331563e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.539830082404687 y[1] (closed_form) 0.08585190164229835 y[1] (numeric) 0.08585190164208709 absolute error 2.1126156379835948e-13 relative error 2.4607674350485566e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.529935649868814 y[1] (closed_form) 0.09072136299242806 y[1] (numeric) 0.09072136299220758 absolute error 2.2047641490274827e-13 relative error 2.4302590661159934e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.5198433286822235 y[1] (closed_form) 0.09567906054732314 y[1] (numeric) 0.09567906054709324 absolute error 2.298994328242543e-13 relative error 2.4028186680464465e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.5099488961463505 y[1] (closed_form) 0.10053009099582726 y[1] (numeric) 0.10053009099558816 absolute error 2.391004061408353e-13 relative error 2.3783963962666633e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.49985657495976 y[1] (closed_form) 0.10546799977932392 y[1] (numeric) 0.10546799977907544 absolute error 2.4848179069891785e-13 relative error 2.3559922556493815e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.489962142423887 y[1] (closed_form) 0.11029866154800405 y[1] (numeric) 0.11029866154774645 absolute error 2.5759949728865195e-13 relative error 2.33547255853635e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.479869821237297 y[1] (closed_form) 0.11521480907774252 y[1] (numeric) 0.11521480907747556 absolute error 2.669670040589267e-13 relative error 2.3171240415699308e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.469975388701424 y[1] (closed_form) 0.12002317252481257 y[1] (numeric) 0.12002317252453648 absolute error 2.760847106486608e-13 relative error 2.300261731471774e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.459883067514833 y[1] (closed_form) 0.1249155950111188 y[1] (numeric) 0.12491559501083348 absolute error 2.8532731732866523e-13 relative error 2.2841608952290391e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.44998863497896 y[1] (closed_form) 0.12969973940201387 y[1] (numeric) 0.12969973940171953 absolute error 2.9434787940374463e-13 relative error 2.2694562129488307e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.43989631379237 y[1] (closed_form) 0.13456648253234915 y[1] (numeric) 0.1345664825320456 absolute error 3.0356273050813343e-13 relative error 2.255856917677538e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.430001881256497 y[1] (closed_form) 0.13932449680697656 y[1] (numeric) 0.1393244968066639 absolute error 3.126665593100597e-13 relative error 2.2441606930275538e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.4199095600699065 y[1] (closed_form) 0.1441636165266013 y[1] (numeric) 0.14416361652627954 absolute error 3.21770388111986e-13 relative error 2.231980550048232e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.410015127534034 y[1] (closed_form) 0.14889360006272687 y[1] (numeric) 0.14889360006239616 absolute error 3.307076834602185e-13 relative error 2.2211007277740332e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.399922806347443 y[1] (closed_form) 0.15370316335126707 y[1] (numeric) 0.15370316335092718 absolute error 3.398947789889917e-13 relative error 2.2113713965158266e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.389830485160853 y[1] (closed_form) 0.1584970713451421 y[1] (numeric) 0.15849707134479304 absolute error 3.490541189421492e-13 relative error 2.2022748810421325e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.37993605262498 y[1] (closed_form) 0.16318131236733774 y[1] (numeric) 0.16318131236697983 absolute error 3.5790814756353484e-13 relative error 2.19331578090172e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.369843731438389 y[1] (closed_form) 0.16794277732810733 y[1] (numeric) 0.1679427773277403 absolute error 3.6703973194107675e-13 relative error 2.1855047164308627e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.359949298902516 y[1] (closed_form) 0.1725942774615907 y[1] (numeric) 0.17259427746121478 absolute error 3.75921516138078e-13 relative error 2.1780647751877865e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.349856977715926 y[1] (closed_form) 0.17732139738861988 y[1] (numeric) 0.177321397388235 absolute error 3.8488656706192614e-13 relative error 2.1705590680542842e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.339962545180053 y[1] (closed_form) 0.18193829855897886 y[1] (numeric) 0.18193829855858532 absolute error 3.9354630665400236e-13 relative error 2.163075667800788e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.3298702239934626 y[1] (closed_form) 0.1866291851709977 y[1] (numeric) 0.18662918517059532 absolute error 4.0237257969977236e-13 relative error 2.1560003025845143e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.31997579145759 y[1] (closed_form) 0.19120964312461922 y[1] (numeric) 0.1912096431242081 absolute error 4.1111558601869547e-13 relative error 2.1500776807096203e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.309883470270999 y[1] (closed_form) 0.19586242261401002 y[1] (numeric) 0.19586242261359013 absolute error 4.198863479132342e-13 relative error 2.1437820604349034e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.299989037735126 y[1] (closed_form) 0.2004046076547799 y[1] (numeric) 0.20040460765435136 absolute error 4.285460875053104e-13 relative error 2.1384043636538067e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.289896716548536 y[1] (closed_form) 0.20501742143608295 y[1] (numeric) 0.20501742143564552 absolute error 4.374278717023117e-13 relative error 2.133613176081653e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.280002284012663 y[1] (closed_form) 0.20951951915627107 y[1] (numeric) 0.20951951915582503 absolute error 4.4603210014315664e-13 relative error 2.128833160458342e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.269909962826072 y[1] (closed_form) 0.21409052460860947 y[1] (numeric) 0.2140905246081548 absolute error 4.5466408415961723e-13 relative error 2.1237001730497572e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.260015530290199 y[1] (closed_form) 0.2185507366136475 y[1] (numeric) 0.21855073661318436 absolute error 4.631295347223841e-13 relative error 2.1190939088029765e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.249923209103609 y[1] (closed_form) 0.22307810781677517 y[1] (numeric) 0.2230781078163034 absolute error 4.717615187388446e-13 relative error 2.114781783635735e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3992896093344495 Order of pole (three term test) 32.80097102340886 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.239830887917019 y[1] (closed_form) 0.2275827576039276 y[1] (numeric) 0.22758275760344732 absolute error 4.802824804528427e-13 relative error 2.1103640957224873e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.229936455381146 y[1] (closed_form) 0.2319765809073164 y[1] (numeric) 0.23197658090682788 absolute error 4.885258864106845e-13 relative error 2.1059276091575357e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.219844134194555 y[1] (closed_form) 0.23643488160920806 y[1] (numeric) 0.23643488160871096 absolute error 4.971023592759138e-13 relative error 2.1024916285303057e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.209949701658682 y[1] (closed_form) 0.24078238932263202 y[1] (numeric) 0.2407823893221267 absolute error 5.0531800965814e-13 relative error 2.098650200621808e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.199857380472092 y[1] (closed_form) 0.24519256003972134 y[1] (numeric) 0.24519256003920767 absolute error 5.136724379184443e-13 relative error 2.0949756299099332e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.189962947936219 y[1] (closed_form) 0.2494920155206766 y[1] (numeric) 0.24949201552015482 absolute error 5.217770659982079e-13 relative error 2.0913577731507235e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.179870626749628 y[1] (closed_form) 0.2538522945792826 y[1] (numeric) 0.2538522945787527 absolute error 5.299094496535872e-13 relative error 2.087471576854654e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.169976194213755 y[1] (closed_form) 0.25810198038006715 y[1] (numeric) 0.25810198037952903 absolute error 5.381251000358134e-13 relative error 2.0849320847650963e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.159883873027165 y[1] (closed_form) 0.2624106260360824 y[1] (numeric) 0.26241062603553633 absolute error 5.460631946618832e-13 relative error 2.0809492470278152e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.149989440491292 y[1] (closed_form) 0.2666088445898428 y[1] (numeric) 0.26660884458928874 absolute error 5.540568004391844e-13 relative error 2.0781636156578306e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.139897119304702 y[1] (closed_form) 0.27086413572448526 y[1] (numeric) 0.27086413572392326 absolute error 5.619948950652542e-13 relative error 2.074822100615411e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.130002686768829 y[1] (closed_form) 0.2750092100233214 y[1] (numeric) 0.2750092100227516 absolute error 5.698219673888616e-13 relative error 2.0720104877234454e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.119910365582238 y[1] (closed_form) 0.27920944683064763 y[1] (numeric) 0.27920944683006993 absolute error 5.777045508637002e-13 relative error 2.0690723663590884e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.110015933046365 y[1] (closed_form) 0.2832997210955055 y[1] (numeric) 0.28329972109492013 absolute error 5.853650897336138e-13 relative error 2.0662395553021972e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.099923611859775 y[1] (closed_form) 0.2874432257614099 y[1] (numeric) 0.2874432257608166 absolute error 5.933031843596837e-13 relative error 2.064070853602758e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.089831290673184 y[1] (closed_form) 0.2915574531613121 y[1] (numeric) 0.29155745316071097 absolute error 6.01130256683291e-13 relative error 2.0617900525791028e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.079936858137311 y[1] (closed_form) 0.2955621834759235 y[1] (numeric) 0.29556218347531465 absolute error 6.088463067044358e-13 relative error 2.0599601056676877e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.069844536950721 y[1] (closed_form) 0.29961719663336267 y[1] (numeric) 0.2996171966327462 absolute error 6.164513344231182e-13 relative error 2.0574631274501276e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.059950104414848 y[1] (closed_form) 0.3035630767994816 y[1] (numeric) 0.3035630767988576 absolute error 6.240008509905692e-13 relative error 2.0555887678090462e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.049857783228258 y[1] (closed_form) 0.3075572559109595 y[1] (numeric) 0.30755725591032795 absolute error 6.315503675580203e-13 relative error 2.053439986929977e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.039963350692385 y[1] (closed_form) 0.3114427097190279 y[1] (numeric) 0.31144270971838905 absolute error 6.388223283693151e-13 relative error 2.0511712377073684e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.029871029505794 y[1] (closed_form) 0.31537445928163327 y[1] (numeric) 0.31537445928098695 absolute error 6.463163337855349e-13 relative error 2.049361686604959e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.019976596969921 y[1] (closed_form) 0.3191979346598264 y[1] (numeric) 0.31919793465917284 absolute error 6.535327834455984e-13 relative error 2.047421717004771e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.009884275783331 y[1] (closed_form) 0.3230656841085702 y[1] (numeric) 0.3230656841079092 absolute error 6.609712777105869e-13 relative error 2.0459346511357099e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.9999898432474583 y[1] (closed_form) 0.3268256537427824 y[1] (numeric) 0.3268256537421147 absolute error 6.676881270095691e-13 relative error 2.0429489526395978e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.9898975220608905 y[1] (closed_form) 0.33062785807796197 y[1] (numeric) 0.3306278580772958 absolute error 6.661893259263252e-13 relative error 2.0149219421469256e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.98000308952504 y[1] (closed_form) 0.3343228200218956 y[1] (numeric) 0.3343228200212308 absolute error 6.648015471455437e-13 relative error 1.9885018530951738e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.969910768338472 y[1] (closed_form) 0.33805796042628194 y[1] (numeric) 0.3380579604256184 absolute error 6.635247906672248e-13 relative error 1.9627545224213565e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.9600163358026212 y[1] (closed_form) 0.3416864387014343 y[1] (numeric) 0.34168643870077203 absolute error 6.622480341889059e-13 relative error 1.938174768380487e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.9499240146160535 y[1] (closed_form) 0.34535302314694794 y[1] (numeric) 0.3453530231462868 absolute error 6.611378111642807e-13 relative error 1.9143825791354551e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49947417282392004 Order of pole (three term test) 32.52292865394407 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.9398316934294857 y[1] (closed_form) 0.3489844319771849 y[1] (numeric) 0.34898443197652484 absolute error 6.600275881396556e-13 relative error 1.8912808929620257e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.929937260893635 y[1] (closed_form) 0.35251013217589733 y[1] (numeric) 0.3525101321752385 absolute error 6.588063428125679e-13 relative error 1.8689004447787993e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.919844939707067 y[1] (closed_form) 0.3560707914235688 y[1] (numeric) 0.3560707914229111 absolute error 6.576961197879427e-13 relative error 1.8470937117826423e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.9099505071712164 y[1] (closed_form) 0.3595264285556392 y[1] (numeric) 0.3595264285549826 absolute error 6.565858967633176e-13 relative error 1.8262521044727768e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.8998581859846486 y[1] (closed_form) 0.3630149158903898 y[1] (numeric) 0.3630149158897343 absolute error 6.555311848899237e-13 relative error 1.8057968314664443e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.889963753448798 y[1] (closed_form) 0.3663991095772848 y[1] (numeric) 0.3663991095766305 absolute error 6.542544284116047e-13 relative error 1.7856332379366836e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.87987143226223 y[1] (closed_form) 0.3698140314983367 y[1] (numeric) 0.3698140314976837 absolute error 6.529776719332858e-13 relative error 1.765691986557905e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.8699769997263793 y[1] (closed_form) 0.373125429900109 y[1] (numeric) 0.37312542989945696 absolute error 6.520339823623544e-13 relative error 1.7474927467069538e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.8598846785398115 y[1] (closed_form) 0.376465422292906 y[1] (numeric) 0.3764654222922551 absolute error 6.509237593377293e-13 relative error 1.729039961686795e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.849990246003961 y[1] (closed_form) 0.3797027026481965 y[1] (numeric) 0.37970270264754663 absolute error 6.498690474643354e-13 relative error 1.7115207316984898e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49408274904666855 Order of pole (three term test) 32.42332971274918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.839897924817393 y[1] (closed_form) 0.38296643132930897 y[1] (numeric) 0.38296643132866004 absolute error 6.48925357893404e-13 relative error 1.694470597960581e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.8300034922815422 y[1] (closed_form) 0.3861283004837329 y[1] (numeric) 0.3861283004830852 absolute error 6.477041125663163e-13 relative error 1.6774323761166613e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.8199111710949745 y[1] (closed_form) 0.3893144617338065 y[1] (numeric) 0.38931446173315976 absolute error 6.467604229953849e-13 relative error 1.6612802414661055e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.8100167385591237 y[1] (closed_form) 0.3923996566565135 y[1] (numeric) 0.3923996566558676 absolute error 6.458722445756848e-13 relative error 1.6459551725373915e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.799924417372556 y[1] (closed_form) 0.3955069777410493 y[1] (numeric) 0.3955069777404045 absolute error 6.448175327022909e-13 relative error 1.6303569064323133e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.789832096185988 y[1] (closed_form) 0.39857401482528454 y[1] (numeric) 0.39857401482464094 absolute error 6.435962873752032e-13 relative error 1.6147472324740603e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.7799376636501374 y[1] (closed_form) 0.40154150570700653 y[1] (numeric) 0.40154150570636377 absolute error 6.427636201067344e-13 relative error 1.6007401749789243e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.7698453424635696 y[1] (closed_form) 0.40452784674315456 y[1] (numeric) 0.404527846742513 absolute error 6.415423747796467e-13 relative error 1.5859041100500034e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.759950909927719 y[1] (closed_form) 0.4074156350970807 y[1] (numeric) 0.4074156350964402 absolute error 6.404876629062528e-13 relative error 1.572074333263216e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.749858588741151 y[1] (closed_form) 0.4103200871702311 y[1] (numeric) 0.4103200871695917 absolute error 6.394329510328589e-13 relative error 1.5583759387523596e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.7399641562053003 y[1] (closed_form) 0.4131270194490123 y[1] (numeric) 0.41312701944837377 absolute error 6.385447726131588e-13 relative error 1.5456378850862532e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.7298718350187325 y[1] (closed_form) 0.4159484223553764 y[1] (numeric) 0.415948422354739 absolute error 6.373790384373024e-13 relative error 1.5323511382205483e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.719977402482882 y[1] (closed_form) 0.41867337731019105 y[1] (numeric) 0.4186733773095545 absolute error 6.365463711688335e-13 relative error 1.5203889372149461e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.709885081296314 y[1] (closed_form) 0.42141060402055325 y[1] (numeric) 0.42141060401991776 absolute error 6.354916592954396e-13 relative error 1.5080106035121153e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.6999906487604632 y[1] (closed_form) 0.4240524931489978 y[1] (numeric) 0.4240524931483633 absolute error 6.34492458573277e-13 relative error 1.4962592339961497e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.6898983275738955 y[1] (closed_form) 0.4267044502589156 y[1] (numeric) 0.426704450258282 absolute error 6.336042801535768e-13 relative error 1.4848785377539855e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.6800038950380447 y[1] (closed_form) 0.4292622182398145 y[1] (numeric) 0.4292622182391821 absolute error 6.323830348264892e-13 relative error 1.4731858709102552e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.669911573851477 y[1] (closed_form) 0.43182784640638633 y[1] (numeric) 0.43182784640575517 absolute error 6.311617894994015e-13 relative error 1.461605115908679e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.660017141315626 y[1] (closed_form) 0.4343004715213474 y[1] (numeric) 0.43430047152071705 absolute error 6.303291222309326e-13 relative error 1.4513664238560463e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.6499248201290584 y[1] (closed_form) 0.43677874588637483 y[1] (numeric) 0.4367787458857454 absolute error 6.294409438112325e-13 relative error 1.441097923695622e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.6398324989424906 y[1] (closed_form) 0.4392125325530282 y[1] (numeric) 0.43921253255239967 absolute error 6.285527653915324e-13 relative error 1.431090232644134e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.62993806640664 y[1] (closed_form) 0.44155517102729636 y[1] (numeric) 0.44155517102666864 absolute error 6.277200981230635e-13 relative error 1.421611928273078e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.619845745220072 y[1] (closed_form) 0.44390012742989676 y[1] (numeric) 0.44390012742926965 absolute error 6.271094754595197e-13 relative error 1.4127265046990922e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.6099513126842213 y[1] (closed_form) 0.44615521385256685 y[1] (numeric) 0.4461552138519407 absolute error 6.261657858885883e-13 relative error 1.4034707349525818e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.5998589914976535 y[1] (closed_form) 0.4484104032818024 y[1] (numeric) 0.4484104032811771 absolute error 6.253331186201194e-13 relative error 1.3945553315522218e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.5899645589618028 y[1] (closed_form) 0.4505770368427576 y[1] (numeric) 0.45057703684213296 absolute error 6.246114736541131e-13 relative error 1.3862479056430256e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.579872237775235 y[1] (closed_form) 0.45274155844736474 y[1] (numeric) 0.45274155844674097 absolute error 6.237788063856442e-13 relative error 1.377781197124549e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.5699778052393842 y[1] (closed_form) 0.4548188736696052 y[1] (numeric) 0.45481887366898216 absolute error 6.230571614196379e-13 relative error 1.3699017289951917e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.5598854840528165 y[1] (closed_form) 0.45689186281622 y[1] (numeric) 0.4568918628155976 absolute error 6.223910276048628e-13 relative error 1.3622283044581449e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.5499910515169657 y[1] (closed_form) 0.4588790299015841 y[1] (numeric) 0.4588790299009623 absolute error 6.217804049413189e-13 relative error 1.3549985168742017e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36447853789403084 Order of pole (three term test) 32.15769617706238 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.539898730330398 y[1] (closed_form) 0.460859658520126 y[1] (numeric) 0.46085965851950467 absolute error 6.213363157314689e-13 relative error 1.3482115525725382e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.530004297794547 y[1] (closed_form) 0.4627558836807586 y[1] (numeric) 0.46275588368013776 absolute error 6.208367153703875e-13 relative error 1.3416073944479205e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.5199119766079794 y[1] (closed_form) 0.46464336059520916 y[1] (numeric) 0.4646433605945889 absolute error 6.20281603858075e-13 relative error 1.334962804727249e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.5100175440721286 y[1] (closed_form) 0.466447886370646 y[1] (numeric) 0.4664478863700263 absolute error 6.196709811945311e-13 relative error 1.3284892038338703e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.499925222885561 y[1] (closed_form) 0.46824145761508934 y[1] (numeric) 0.4682414576144702 absolute error 6.191158696822185e-13 relative error 1.322214980355612e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.489832901698993 y[1] (closed_form) 0.4699873365555257 y[1] (numeric) 0.4699873365549073 absolute error 6.183942247162122e-13 relative error 1.3157678444026614e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.4799384691631423 y[1] (closed_form) 0.47165251229463 y[1] (numeric) 0.4716525122940122 absolute error 6.177836020526684e-13 relative error 1.3098278625658071e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.4698461479765745 y[1] (closed_form) 0.47330342168057865 y[1] (numeric) 0.47330342167996126 absolute error 6.173950239940496e-13 relative error 1.30443811667754e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.4599517154407238 y[1] (closed_form) 0.4748751620640717 y[1] (numeric) 0.47487516206345504 absolute error 6.166733790280432e-13 relative error 1.298601039371353e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.449859394254156 y[1] (closed_form) 0.4764304424281783 y[1] (numeric) 0.4764304424275623 absolute error 6.160072452132681e-13 relative error 1.2929636529389722e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.4399649617183052 y[1] (closed_form) 0.47790811961332 y[1] (numeric) 0.47790811961270446 absolute error 6.15563156003418e-13 relative error 1.2880366136099048e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.4298726405317375 y[1] (closed_form) 0.479367149687915 y[1] (numeric) 0.4793671496872998 absolute error 6.151745779447992e-13 relative error 1.2833056631963615e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.4199782079958867 y[1] (closed_form) 0.4807501734061709 y[1] (numeric) 0.4807501734055561 absolute error 6.147859998861804e-13 relative error 1.278805570740308e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.409885886809319 y[1] (closed_form) 0.48211237037143906 y[1] (numeric) 0.48211237037082466 absolute error 6.143974218275616e-13 relative error 1.2743863455613154e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.399991454273468 y[1] (closed_form) 0.4834001881642671 y[1] (numeric) 0.48340018816365304 absolute error 6.140643549201741e-13 relative error 1.2703022670556042e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.3898991330869004 y[1] (closed_form) 0.4846650078810592 y[1] (numeric) 0.48466500788044564 absolute error 6.135647545590928e-13 relative error 1.265956371064582e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.3800047005510496 y[1] (closed_form) 0.48585710532059323 y[1] (numeric) 0.48585710531998 absolute error 6.132316876517052e-13 relative error 1.2621647001479247e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.369912379364482 y[1] (closed_form) 0.4870240425477862 y[1] (numeric) 0.48702404254717363 absolute error 6.125655538369301e-13 relative error 1.257772718226382e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.360017946828631 y[1] (closed_form) 0.4881199434423276 y[1] (numeric) 0.48811994344171544 absolute error 6.121769757783113e-13 relative error 1.2541527630711146e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.3499256256420633 y[1] (closed_form) 0.48918853203864654 y[1] (numeric) 0.4891885320380347 absolute error 6.118439088709238e-13 relative error 1.2507323226101042e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.3398333044554955 y[1] (closed_form) 0.49020729478591407 y[1] (numeric) 0.4902072947853026 absolute error 6.11455330812305e-13 relative error 1.247340334009805e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.3299388719196448 y[1] (closed_form) 0.4911576117331044 y[1] (numeric) 0.49115761173249306 absolute error 6.113443085098424e-13 relative error 1.2447008738246892e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.319846550733077 y[1] (closed_form) 0.49207739843546927 y[1] (numeric) 0.4920773984348582 absolute error 6.110667527536862e-13 relative error 1.2418102410241486e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.3099521181972262 y[1] (closed_form) 0.49293049506844017 y[1] (numeric) 0.4929304950678293 absolute error 6.108447081487611e-13 relative error 1.2392106275834068e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.2998597970106585 y[1] (closed_form) 0.49375093831064115 y[1] (numeric) 0.4937509383100306 absolute error 6.105671523926048e-13 relative error 1.236589351063611e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.2899653644748077 y[1] (closed_form) 0.4945064738539483 y[1] (numeric) 0.49450647385333824 absolute error 6.100675520315235e-13 relative error 1.233689717501466e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.27987304328824 y[1] (closed_form) 0.4952272459041675 y[1] (numeric) 0.4952272459035578 absolute error 6.096789739729047e-13 relative error 1.231109513895536e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.269978610752389 y[1] (closed_form) 0.4958849185538293 y[1] (numeric) 0.49588491855322003 absolute error 6.092903959142859e-13 relative error 1.228693136486558e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.2598862895658214 y[1] (closed_form) 0.4965057314946068 y[1] (numeric) 0.49650573149399785 absolute error 6.089573290068984e-13 relative error 1.226486000823765e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.2499918570299706 y[1] (closed_form) 0.49706527853866234 y[1] (numeric) 0.4970652785380534 absolute error 6.089573290068984e-13 relative error 1.2251053439041065e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.239899535843403 y[1] (closed_form) 0.4975858843819067 y[1] (numeric) 0.497585884381298 absolute error 6.086797732507421e-13 relative error 1.22326575643687e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.230005103307552 y[1] (closed_form) 0.4980470823053575 y[1] (numeric) 0.4980470823047489 absolute error 6.085687509482796e-13 relative error 1.2219100815355448e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.2199127821209843 y[1] (closed_form) 0.49846727309140665 y[1] (numeric) 0.4984672730907983 absolute error 6.083467063433545e-13 relative error 1.2204345985855698e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.2100183495851335 y[1] (closed_form) 0.4988299376655016 y[1] (numeric) 0.4988299376648934 absolute error 6.081801728896608e-13 relative error 1.219213457267446e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.1999260283985658 y[1] (closed_form) 0.4991495455461936 y[1] (numeric) 0.4991495455455855 absolute error 6.081246617384295e-13 relative error 1.2183215775003662e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.189833707211998 y[1] (closed_form) 0.4994183130079437 y[1] (numeric) 0.49941831300733563 absolute error 6.080691505871982e-13 relative error 1.2175547727212125e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.1799392746761472 y[1] (closed_form) 0.49963242920774154 y[1] (numeric) 0.49963242920713347 absolute error 6.080691505871982e-13 relative error 1.2170329927370866e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.1698469534895795 y[1] (closed_form) 0.4998004369108485 y[1] (numeric) 0.4998004369102406 absolute error 6.079026171335045e-13 relative error 1.2162906877209044e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.1599525209537287 y[1] (closed_form) 0.4999157311847788 y[1] (numeric) 0.49991573118417093 absolute error 6.078471059822732e-13 relative error 1.2158991367239068e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.149860199767161 y[1] (closed_form) 0.4999829120173852 y[1] (numeric) 0.4999829120167773 absolute error 6.079026171335045e-13 relative error 1.2158467870045262e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.13996576723131 y[1] (closed_form) 0.4999993383103401 y[1] (numeric) 0.49999933830973214 absolute error 6.079581282847357e-13 relative error 1.2159178656900294e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.1298734460447424 y[1] (closed_form) 0.49996566543659027 y[1] (numeric) 0.4999656654359821 absolute error 6.081801728896608e-13 relative error 1.2164438779182431e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.1199790135088916 y[1] (closed_form) 0.4998832171869716 y[1] (numeric) 0.49988321718636325 absolute error 6.083467063433545e-13 relative error 1.216977656835025e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.109886692322324 y[1] (closed_form) 0.49974870405773164 y[1] (numeric) 0.4997487040571234 absolute error 6.08235684040892e-13 relative error 1.217083064152634e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.099992259786473 y[1] (closed_form) 0.49956741420007206 y[1] (numeric) 0.4995674141994639 absolute error 6.081801728896608e-13 relative error 1.2174136174664312e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.0898999385999053 y[1] (closed_form) 0.4993321145475565 y[1] (numeric) 0.49933211454694815 absolute error 6.083467063433545e-13 relative error 1.2183208101777628e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.0800055060640545 y[1] (closed_form) 0.4990520554993635 y[1] (numeric) 0.49905205549875503 absolute error 6.08457728645817e-13 relative error 1.219226976306068e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.0699131848774868 y[1] (closed_form) 0.49871606331567186 y[1] (numeric) 0.4987160633150634 absolute error 6.08457728645817e-13 relative error 1.22004838705322e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.060018752341636 y[1] (closed_form) 0.49833734694850007 y[1] (numeric) 0.49833734694789156 absolute error 6.085132397970483e-13 relative error 1.2210869675395494e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.0499264311550682 y[1] (closed_form) 0.49790079644807106 y[1] (numeric) 0.4979007964474624 absolute error 6.086797732507421e-13 relative error 1.2224920658752647e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.0398341099685005 y[1] (closed_form) 0.49741353271889366 y[1] (numeric) 0.4974135327182847 absolute error 6.089573290068984e-13 relative error 1.2242476107923708e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.0299396774326497 y[1] (closed_form) 0.4968866396088328 y[1] (numeric) 0.4968866396082236 absolute error 6.091793736118234e-13 relative error 1.2259926612061686e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.019847356246082 y[1] (closed_form) 0.49629909524209703 y[1] (numeric) 0.4962990952414875 absolute error 6.095124405192109e-13 relative error 1.2281151554827797e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.009952923710231 y[1] (closed_form) 0.4956739979100324 y[1] (numeric) 0.4956739979094229 absolute error 6.095124405192109e-13 relative error 1.2296639385748874e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.9998606025236634 y[1] (closed_form) 0.494986407604464 y[1] (numeric) 0.4949864076038544 absolute error 6.096234628216735e-13 relative error 1.2315963700336883e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.9899661699878126 y[1] (closed_form) 0.49426335574991714 y[1] (numeric) 0.4942633557493072 absolute error 6.09956529729061e-13 relative error 1.2340719226567167e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.979873848801245 y[1] (closed_form) 0.493475994168295 y[1] (numeric) 0.49347599416768473 absolute error 6.102895966364486e-13 relative error 1.2367158764531825e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.969979416265394 y[1] (closed_form) 0.4926552766194097 y[1] (numeric) 0.4926552766187991 absolute error 6.106226635438361e-13 relative error 1.239452194106021e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.9598870950788263 y[1] (closed_form) 0.49176845827885 y[1] (numeric) 0.49176845827823895 absolute error 6.110667527536862e-13 relative error 1.2425903745278225e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.9499926625429755 y[1] (closed_form) 0.490850402877018 y[1] (numeric) 0.49085040287640674 absolute error 6.112332862073799e-13 relative error 1.245253711975711e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.9399003413564078 y[1] (closed_form) 0.48986448202333804 y[1] (numeric) 0.48986448202272653 absolute error 6.115108419635362e-13 relative error 1.2483265564340358e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.930005908820557 y[1] (closed_form) 0.4888494554922403 y[1] (numeric) 0.48884945549162845 absolute error 6.118439088709238e-13 relative error 1.2515998575774947e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.9199135876339892 y[1] (closed_form) 0.48776482595845266 y[1] (numeric) 0.48776482595784054 absolute error 6.121214646270801e-13 relative error 1.254952042563274e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.9100191550981385 y[1] (closed_form) 0.4866532337575691 y[1] (numeric) 0.48665323375695646 absolute error 6.126210649881614e-13 relative error 1.2588451539877045e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.8999268339115707 y[1] (closed_form) 0.4854703288065622 y[1] (numeric) 0.48547032880594915 absolute error 6.130651541980114e-13 relative error 1.2628272374649902e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.889834512725003 y[1] (closed_form) 0.4842379767206824 y[1] (numeric) 0.4842379767200689 absolute error 6.135092434078615e-13 relative error 1.2669581340204244e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.879940080189152 y[1] (closed_form) 0.4829819071206763 y[1] (numeric) 0.48298190712006234 absolute error 6.139533326177116e-13 relative error 1.2711725295836209e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.8698477590025844 y[1] (closed_form) 0.481652005593179 y[1] (numeric) 0.4816520055925646 absolute error 6.143974218275616e-13 relative error 1.275604408769979e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.8599533264667336 y[1] (closed_form) 0.48030055491832213 y[1] (numeric) 0.48030055491770735 absolute error 6.147859998861804e-13 relative error 1.2800026849661424e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.849861005280166 y[1] (closed_form) 0.47887363518771714 y[1] (numeric) 0.4788736351871019 absolute error 6.152300890960305e-13 relative error 1.2847441243134257e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.839966572744315 y[1] (closed_form) 0.47742734328447756 y[1] (numeric) 0.4774273432838616 absolute error 6.159517340620368e-13 relative error 1.2901475852316627e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.8298742515577473 y[1] (closed_form) 0.47590397534387746 y[1] (numeric) 0.4759039753432608 absolute error 6.166733790280432e-13 relative error 1.2957937125497825e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.291914477058429 Order of pole (three term test) 32.09406438631791 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.8199798190218965 y[1] (closed_form) 0.4743634199437182 y[1] (numeric) 0.4743634199431011 absolute error 6.171174682378933e-13 relative error 1.300938146350139e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.8098874978353288 y[1] (closed_form) 0.47274421231315084 y[1] (numeric) 0.4727442123125332 absolute error 6.176170685989746e-13 relative error 1.3064508300946865e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.799993065299478 y[1] (closed_form) 0.4711100088017513 y[1] (numeric) 0.47111000880113313 absolute error 6.181721801112872e-13 relative error 1.3121609996857896e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.7899007441129102 y[1] (closed_form) 0.469395608285082 y[1] (numeric) 0.46939560828446325 absolute error 6.187272916235997e-13 relative error 1.3181360896922215e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.7800063115770595 y[1] (closed_form) 0.4676684094565175 y[1] (numeric) 0.46766840945589816 absolute error 6.193379142871436e-13 relative error 1.3243099207981203e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.7699139903904917 y[1] (closed_form) 0.46585950088307887 y[1] (numeric) 0.4658595008824591 absolute error 6.197820034969936e-13 relative error 1.3304054169167758e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.760019557854641 y[1] (closed_form) 0.46403999667905765 y[1] (numeric) 0.46403999667843737 absolute error 6.20281603858075e-13 relative error 1.3366985783492238e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.749927236668073 y[1] (closed_form) 0.4621373026300896 y[1] (numeric) 0.4621373026294686 absolute error 6.210032488240813e-13 relative error 1.3437635206893337e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.7398349154815054 y[1] (closed_form) 0.4601875380102194 y[1] (numeric) 0.46018753800959766 absolute error 6.217248937900877e-13 relative error 1.3510250548685677e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.7299404829456546 y[1] (closed_form) 0.4582305003843604 y[1] (numeric) 0.4582305003837381 absolute error 6.223355164536315e-13 relative error 1.3581276583108742e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.719848161759087 y[1] (closed_form) 0.4561881082572258 y[1] (numeric) 0.4561881082566029 absolute error 6.228906279659441e-13 relative error 1.3654249567038726e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.709953729223236 y[1] (closed_form) 0.4541406547454994 y[1] (numeric) 0.45414065474487575 absolute error 6.236677840831817e-13 relative error 1.3732921234120413e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.6998614080366683 y[1] (closed_form) 0.45200645095898645 y[1] (numeric) 0.45200645095836195 absolute error 6.245004513516506e-13 relative error 1.38161844820289e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.6899669755008175 y[1] (closed_form) 0.44986939943108434 y[1] (numeric) 0.4498693994304592 absolute error 6.251110740151944e-13 relative error 1.3895389968860406e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.6798746543142498 y[1] (closed_form) 0.4476442365078915 y[1] (numeric) 0.4476442365072656 absolute error 6.25888230132432e-13 relative error 1.3981822596779893e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.669980221778399 y[1] (closed_form) 0.44541844062406244 y[1] (numeric) 0.44541844062343583 absolute error 6.266098750984384e-13 relative error 1.4067892524173763e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.6598879005918312 y[1] (closed_form) 0.4431032074211545 y[1] (numeric) 0.443103207420527 absolute error 6.274980535181385e-13 relative error 1.4161442368475636e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.6499934680559805 y[1] (closed_form) 0.4407895562912039 y[1] (numeric) 0.44078955629057576 absolute error 6.281641873329136e-13 relative error 1.4250886355345546e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.6399011468694127 y[1] (closed_form) 0.4383851776447517 y[1] (numeric) 0.43838517764412266 absolute error 6.290523657526137e-13 relative error 1.4349307363269714e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.630006714333562 y[1] (closed_form) 0.4359845954728802 y[1] (numeric) 0.4359845954722503 absolute error 6.298850330210826e-13 relative error 1.4447414875699745e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.619914393146994 y[1] (closed_form) 0.4334920318288285 y[1] (numeric) 0.43349203182819784 absolute error 6.306621891383202e-13 relative error 1.4548414799636908e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.6098220719604264 y[1] (closed_form) 0.43095531525164715 y[1] (numeric) 0.4309553152510156 absolute error 6.315503675580203e-13 relative error 1.465466012849244e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.5999276394245756 y[1] (closed_form) 0.42842572457486267 y[1] (numeric) 0.42842572457423034 absolute error 6.323275236752579e-13 relative error 1.475932670249276e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.589835318238008 y[1] (closed_form) 0.42580233469621986 y[1] (numeric) 0.4258023346955866 absolute error 6.332712132461893e-13 relative error 1.4872422287162516e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.579940885702157 y[1] (closed_form) 0.42318827965488515 y[1] (numeric) 0.42318827965425077 absolute error 6.343814362708144e-13 relative error 1.499052470895838e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4507676583615151 Order of pole (three term test) 32.28361872659823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.5698485645155893 y[1] (closed_form) 0.4204792644063012 y[1] (numeric) 0.4204792644056658 absolute error 6.353806369929771e-13 relative error 1.5110867307335772e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.5599541319797385 y[1] (closed_form) 0.4177817892030702 y[1] (numeric) 0.417781789202434 absolute error 6.36213304261446e-13 relative error 1.5228363722483923e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.5498618107931708 y[1] (closed_form) 0.4149882307197209 y[1] (numeric) 0.41498823071908364 absolute error 6.372680161348399e-13 relative error 1.5356291310469587e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.53996737825732 y[1] (closed_form) 0.41220841288001736 y[1] (numeric) 0.4122084128793792 absolute error 6.3815619455454e-13 relative error 1.5481396657964132e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.529875057070752 y[1] (closed_form) 0.4093314270684679 y[1] (numeric) 0.4093314270678286 absolute error 6.393219287303964e-13 relative error 1.5618686630270842e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.5199806245349015 y[1] (closed_form) 0.4064703770100602 y[1] (numeric) 0.40647037700941996 absolute error 6.402656183013278e-13 relative error 1.575183960541068e-10% Desired digits 8 Estimated correct digits 12 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.5098883033483337 y[1] (closed_form) 0.4035111131025081 y[1] (numeric) 0.4035111131018669 absolute error 6.412093078722592e-13 relative error 1.5890747170310677e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.499993870812483 y[1] (closed_form) 0.40056997369194525 y[1] (numeric) 0.40056997369130287 absolute error 6.423750420481156e-13 relative error 1.6036525057720086e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.489901549625915 y[1] (closed_form) 0.3975296137871516 y[1] (numeric) 0.3975296137865081 absolute error 6.43540776223972e-13 relative error 1.6188499017548452e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.4800071170900644 y[1] (closed_form) 0.3945095598832371 y[1] (numeric) 0.39450955988259245 absolute error 6.446509992485971e-13 relative error 1.6340567246061016e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.4699147959034966 y[1] (closed_form) 0.39138931847432895 y[1] (numeric) 0.39138931847368336 absolute error 6.455946888195285e-13 relative error 1.6494949104286115e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4871231221605094 Order of pole (three term test) 32.387324699021704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.459822474716929 y[1] (closed_form) 0.3882292124655265 y[1] (numeric) 0.38822921246487974 absolute error 6.467604229953849e-13 relative error 1.6659241557017432e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.449928042181078 y[1] (closed_form) 0.38509267994814755 y[1] (numeric) 0.38509267994749974 absolute error 6.478151348687788e-13 relative error 1.6822317551089432e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.4398357209945103 y[1] (closed_form) 0.38185458017592505 y[1] (numeric) 0.38185458017527624 absolute error 6.488143355909415e-13 relative error 1.6991136659720694e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.4299412884586595 y[1] (closed_form) 0.37864221344510995 y[1] (numeric) 0.3786422134444601 absolute error 6.498690474643354e-13 relative error 1.7163143051363552e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.4198489672720918 y[1] (closed_form) 0.37532741339117387 y[1] (numeric) 0.3753274133905227 absolute error 6.511458039426543e-13 relative error 1.7348740878247997e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.409954534736241 y[1] (closed_form) 0.37204049564938496 y[1] (numeric) 0.37204049564873237 absolute error 6.52589093874667e-13 relative error 1.7540808097666716e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.399862213549673 y[1] (closed_form) 0.36865031943390825 y[1] (numeric) 0.3686503194332545 absolute error 6.537548280505234e-13 relative error 1.773373827681516e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.3899677810138225 y[1] (closed_form) 0.36529016366353295 y[1] (numeric) 0.36529016366287803 absolute error 6.549205622263798e-13 relative error 1.7928776281795095e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.3798754598272547 y[1] (closed_form) 0.36182596551622603 y[1] (numeric) 0.3618259655155697 absolute error 6.563083410071613e-13 relative error 1.8138785039122054e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.369981027291404 y[1] (closed_form) 0.35839391395509695 y[1] (numeric) 0.3583939139544394 absolute error 6.57529586334249e-13 relative error 1.8346561164446297e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.359888706104836 y[1] (closed_form) 0.35485707767425084 y[1] (numeric) 0.3548570776735922 absolute error 6.586398093588741e-13 relative error 1.8560706571660592e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.3499942735689854 y[1] (closed_form) 0.35135450127947937 y[1] (numeric) 0.35135450127881956 absolute error 6.598055435347305e-13 relative error 1.877891249811821e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.3399019523824176 y[1] (closed_form) 0.347746439679198 y[1] (numeric) 0.34774643967853713 absolute error 6.608602554081244e-13 relative error 1.900408401068834e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.330007519846567 y[1] (closed_form) 0.34417473757953587 y[1] (numeric) 0.3441747375788738 absolute error 6.620815007352121e-13 relative error 1.923678377417839e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.319915198659999 y[1] (closed_form) 0.3404968919253775 y[1] (numeric) 0.34049689192471416 absolute error 6.63358257213531e-13 relative error 1.9482064974587523e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.3098228774734313 y[1] (closed_form) 0.3367843652727321 y[1] (numeric) 0.3367843652720674 absolute error 6.646905248430812e-13 relative error 1.9736383080158923e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.2999284449375805 y[1] (closed_form) 0.3331113302955785 y[1] (numeric) 0.33311133029491247 absolute error 6.660227924726314e-13 relative error 1.9993999960363155e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.2898361237510128 y[1] (closed_form) 0.3293312409799478 y[1] (numeric) 0.32933124097928046 absolute error 6.673550601021816e-13 relative error 2.026394635736411e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.279941691215162 y[1] (closed_form) 0.3255927050042886 y[1] (numeric) 0.32559270500362003 absolute error 6.685763054292693e-13 relative error 2.0534130376798922e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.269849370028594 y[1] (closed_form) 0.3217465630089105 y[1] (numeric) 0.3217465630082406 absolute error 6.699085730588195e-13 relative error 2.0821001685114097e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.2599549374927435 y[1] (closed_form) 0.31794401941920997 y[1] (numeric) 0.31794401941853867 absolute error 6.712963518396009e-13 relative error 2.111366501140237e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.2498626163061757 y[1] (closed_form) 0.3140333611125295 y[1] (numeric) 0.31403336111185676 absolute error 6.727396417716136e-13 relative error 2.1422553304155054e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.239968183770325 y[1] (closed_form) 0.310168328861543 y[1] (numeric) 0.3101683288608689 absolute error 6.740719094011638e-13 relative error 2.1732454498991252e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.229875862583757 y[1] (closed_form) 0.30619471638349893 y[1] (numeric) 0.30619471638282353 absolute error 6.75404177030714e-13 relative error 2.205799580763478e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.2199814300479064 y[1] (closed_form) 0.30226873938551685 y[1] (numeric) 0.30226873938484017 absolute error 6.766809335090329e-13 relative error 2.2386732246432757e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.2098891088613386 y[1] (closed_form) 0.2982337600235341 y[1] (numeric) 0.29823376002285584 absolute error 6.782352457435081e-13 relative error 2.2741732716309098e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.199994676325488 y[1] (closed_form) 0.294248406537654 y[1] (numeric) 0.29424840653697426 absolute error 6.797340468267521e-13 relative error 2.3100687437019944e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.18990235513892 y[1] (closed_form) 0.29015367209259046 y[1] (numeric) 0.29015367209190923 absolute error 6.812328479099961e-13 relative error 2.3478346594648954e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.1800079226030693 y[1] (closed_form) 0.28611053409626547 y[1] (numeric) 0.2861105340955828 absolute error 6.826761378420088e-13 relative error 2.3860573326961596e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.1699156014165015 y[1] (closed_form) 0.2819576802385668 y[1] (numeric) 0.2819576802378829 absolute error 6.838973831690964e-13 relative error 2.4255320251977e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.1598232802299338 y[1] (closed_form) 0.27777610784007184 y[1] (numeric) 0.2777761078393865 absolute error 6.853406731011091e-13 relative error 2.467241255665122e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.149928847694083 y[1] (closed_form) 0.27364905840799825 y[1] (numeric) 0.27364905840731146 absolute error 6.867839630331218e-13 relative error 2.5097252920532925e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.139836526507515 y[1] (closed_form) 0.26941187175057424 y[1] (numeric) 0.26941187174988596 absolute error 6.882827641163658e-13 relative error 2.5547603364471957e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4539152240837477 Order of pole (three term test) 32.7096312059011 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.1299420939716645 y[1] (closed_form) 0.26523112553825556 y[1] (numeric) 0.2652311255375658 absolute error 6.897815651996098e-13 relative error 2.6006810618466393e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.1198497727850967 y[1] (closed_form) 0.26094001719588533 y[1] (numeric) 0.26094001719519405 absolute error 6.912803662828537e-13 relative error 2.6491926141168134e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4451734919319841 Order of pole (three term test) 32.72757377598927 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.109955340249246 y[1] (closed_form) 0.25670724423177205 y[1] (numeric) 0.2567072442310792 absolute error 6.928346785173289e-13 relative error 2.698929204708351e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.099863019062678 y[1] (closed_form) 0.2523639283178344 y[1] (numeric) 0.2523639283171401 absolute error 6.942779684493416e-13 relative error 2.7510982773058916e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.0899685865268274 y[1] (closed_form) 0.24808081941282858 y[1] (numeric) 0.24808081941213286 absolute error 6.957212583813543e-13 relative error 2.8044137391517247e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.0798762653402596 y[1] (closed_form) 0.2436870308953836 y[1] (numeric) 0.24368703089468638 absolute error 6.972200594645983e-13 relative error 2.861129116731367e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.069981832804409 y[1] (closed_form) 0.2393552969674326 y[1] (numeric) 0.23935529696673388 absolute error 6.987188605478423e-13 relative error 2.9191702435685476e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.059889511617841 y[1] (closed_form) 0.2349127909761765 y[1] (numeric) 0.23491279097547632 absolute error 7.001899060554706e-13 relative error 2.9806376364004794e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.0499950790819903 y[1] (closed_form) 0.23053416236683472 y[1] (numeric) 0.23053416236613294 absolute error 7.017719738655614e-13 relative error 3.044112710500907e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.0399027578954225 y[1] (closed_form) 0.226044713492001 y[1] (numeric) 0.2260447134912977 absolute error 7.03298530524421e-13 relative error 3.1113248333025425e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.0300083253595718 y[1] (closed_form) 0.22162093927523283 y[1] (numeric) 0.221620939274528 absolute error 7.048250871832806e-13 relative error 3.1803181120352203e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.019916004173004 y[1] (closed_form) 0.21708634085871958 y[1] (numeric) 0.21708634085801323 absolute error 7.063516438421402e-13 relative error 3.253782071447028e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.009823682986436 y[1] (closed_form) 0.2125296313121566 y[1] (numeric) 0.21252963131144872 absolute error 7.078782005009998e-13 relative error 3.330727090291195e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9999292504505854 y[1] (closed_form) 0.20804125156122655 y[1] (numeric) 0.2080412515605171 absolute error 7.094602683110907e-13 relative error 3.410190349207241e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9898369292640177 y[1] (closed_form) 0.20344212512945448 y[1] (numeric) 0.20344212512874346 absolute error 7.110145805455659e-13 relative error 3.4949230897638943e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.979942496728167 y[1] (closed_form) 0.19891305872399706 y[1] (numeric) 0.19891305872328444 absolute error 7.126244039312724e-13 relative error 3.5825923571970123e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9698501755415991 y[1] (closed_form) 0.1942733525603848 y[1] (numeric) 0.1942733525596706 absolute error 7.142064717413632e-13 relative error 3.676296632186706e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9599557430057484 y[1] (closed_form) 0.1897054086677991 y[1] (numeric) 0.18970540866708335 absolute error 7.157607839758384e-13 relative error 3.773012003201429e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9498634218191806 y[1] (closed_form) 0.1850269761355746 y[1] (numeric) 0.18502697613485727 absolute error 7.173150962103136e-13 relative error 3.8768135933039094e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9399689892833298 y[1] (closed_form) 0.18042197945314517 y[1] (numeric) 0.18042197945242636 absolute error 7.188138972935576e-13 relative error 3.984070563200037e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.929876668096762 y[1] (closed_form) 0.17570668938505632 y[1] (numeric) 0.17570668938433592 absolute error 7.203959651036485e-13 relative error 4.099991682871679e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9199822355609113 y[1] (closed_form) 0.17106647941106493 y[1] (numeric) 0.17106647941034292 absolute error 7.220057884893549e-13 relative error 4.220615230844893e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9098899143743435 y[1] (closed_form) 0.16631621536286142 y[1] (numeric) 0.1663162153621378 absolute error 7.236156118750614e-13 relative error 4.3508422212248434e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8999954818384928 y[1] (closed_form) 0.16164264566178657 y[1] (numeric) 0.16164264566106135 absolute error 7.252254352607679e-13 relative error 4.486597161854151e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.889903160651925 y[1] (closed_form) 0.15685930515982016 y[1] (numeric) 0.15685930515909327 absolute error 7.268907697977056e-13 relative error 4.6340302799192826e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8800087281160742 y[1] (closed_form) 0.15215424262191776 y[1] (numeric) 0.15215424262118935 absolute error 7.284173264565652e-13 relative error 4.78736125857878e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2898761566011799 Order of pole (three term test) 32.90740163110818 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8699164069295064 y[1] (closed_form) 0.14733973640516204 y[1] (numeric) 0.1473397364044319 absolute error 7.301381721447342e-13 relative error 4.955473587498246e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8598240857429387 y[1] (closed_form) 0.14251022303475372 y[1] (numeric) 0.14251022303402194 absolute error 7.317757511060563e-13 relative error 5.134900048030937e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.849929653207088 y[1] (closed_form) 0.13776131175751533 y[1] (numeric) 0.13776131175678183 absolute error 7.334965967942253e-13 relative error 5.32440194882371e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8398373320205201 y[1] (closed_form) 0.1329035314623084 y[1] (numeric) 0.13290353146157327 absolute error 7.351341757555474e-13 relative error 5.531336659508045e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8299428994846694 y[1] (closed_form) 0.1281278573859082 y[1] (numeric) 0.12812785738517143 absolute error 7.367717547168695e-13 relative error 5.750285455080913e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8198505782981016 y[1] (closed_form) 0.12324375064037477 y[1] (numeric) 0.12324375063963633 absolute error 7.384370892538072e-13 relative error 5.991679784304573e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8099561457622508 y[1] (closed_form) 0.11844322144137882 y[1] (numeric) 0.1184432214406387 absolute error 7.401301793663606e-13 relative error 6.248818382001487e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.799863824575683 y[1] (closed_form) 0.11353473923627652 y[1] (numeric) 0.11353473923553468 absolute error 7.418371472667218e-13 relative error 6.534010226798413e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7899693920398323 y[1] (closed_form) 0.10871127251980427 y[1] (numeric) 0.10871127251906079 absolute error 7.434747262280439e-13 relative error 6.838984670081963e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7798770708532645 y[1] (closed_form) 0.10378037558283933 y[1] (numeric) 0.10378037558209417 absolute error 7.451539385527894e-13 relative error 7.180104469346369e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7699826383174138 y[1] (closed_form) 0.09893589811656271 y[1] (numeric) 0.09893589811581589 absolute error 7.468192730897272e-13 relative error 7.548516638620408e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.759890317130846 y[1] (closed_form) 0.09398455612916352 y[1] (numeric) 0.09398455612841498 absolute error 7.485401187778962e-13 relative error 7.964501292629112e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7499958845949952 y[1] (closed_form) 0.08912100307364614 y[1] (numeric) 0.08912100307289592 absolute error 7.502193311026417e-13 relative error 8.417985718615505e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17538768052511017 Order of pole (three term test) 32.968226101150776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7399035634084274 y[1] (closed_form) 0.08415119388416013 y[1] (numeric) 0.08415119388340819 absolute error 7.519401767908107e-13 relative error 8.935585368235034e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7300091308725767 y[1] (closed_form) 0.07927050801984371 y[1] (numeric) 0.07927050801909012 absolute error 7.535916335399406e-13 relative error 9.50658261646683e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.719916809686009 y[1] (closed_form) 0.07428421685347196 y[1] (numeric) 0.07428421685271665 absolute error 7.553124792281096e-13 relative error 1.0167872950965992e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7098244884994411 y[1] (closed_form) 0.0692903595363558 y[1] (numeric) 0.0692903595355988 absolute error 7.57005569340663e-13 relative error 1.0925121104956475e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6999300559635904 y[1] (closed_form) 0.06438756647040417 y[1] (numeric) 0.06438756646964544 absolute error 7.58726415028832e-13 relative error 1.1783741126131575e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6898377347770226 y[1] (closed_form) 0.05938022699968841 y[1] (numeric) 0.05938022699892795 absolute error 7.604611385048088e-13 relative error 1.2806639127681327e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6799433022411718 y[1] (closed_form) 0.054465196021491004 y[1] (numeric) 0.054465196020728864 absolute error 7.621403508295543e-13 relative error 1.3993162725951216e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.669850981054604 y[1] (closed_form) 0.049446374614111256 y[1] (numeric) 0.049446374613347395 absolute error 7.638611965177233e-13 relative error 1.5448275075352617e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6599565485187533 y[1] (closed_form) 0.04452106906732775 y[1] (numeric) 0.04452106906656219 absolute error 7.655612255241806e-13 relative error 1.7195481635143296e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6498642273321855 y[1] (closed_form) 0.0394927705267599 y[1] (numeric) 0.039492770525992586 absolute error 7.673167656818691e-13 relative error 1.942929694339735e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6399697947963348 y[1] (closed_form) 0.0345591578592986 y[1] (numeric) 0.03455915785852955 absolute error 7.69044550263942e-13 relative error 2.225298872718394e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.629877473609767 y[1] (closed_form) 0.02952339077472598 y[1] (numeric) 0.029523390773955226 absolute error 7.707549876112552e-13 relative error 2.610658760344945e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6199830410739162 y[1] (closed_form) 0.02458344175283287 y[1] (numeric) 0.02458344175206041 absolute error 7.724584860646644e-13 relative error 3.1421901531572577e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6098907198873484 y[1] (closed_form) 0.0195422176968012 y[1] (numeric) 0.019542217696027 absolute error 7.742001484345451e-13 relative error 3.961680094072799e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5999962873514977 y[1] (closed_form) 0.014597905617823603 y[1] (numeric) 0.014597905617047706 absolute error 7.758967079940504e-13 relative error 5.315123472552829e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.58990396616493 y[1] (closed_form) 0.009553238342704185 y[1] (numeric) 0.009553238341926555 absolute error 7.776296967465512e-13 relative error 8.139959130616978e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5800095336290791 y[1] (closed_form) 0.004606538246843219 y[1] (numeric) 0.004606538246063889 absolute error 7.793297257530085e-13 relative error 1.691790416126621e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5699172124425114 y[1] (closed_form) -0.0004395571195745837 y[1] (numeric) -0.0004395571203556517 absolute error 7.810679728860459e-13 relative error 1.7769430595095044e-07% Desired digits 8 Estimated correct digits 8 Correct digits 9 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5598248912559436 y[1] (closed_form) -0.00548560771530531 y[1] (numeric) -0.0054856077160881185 absolute error 7.8280871368408e-13 relative error 1.4270227736117139e-08% Desired digits 8 Estimated correct digits 10 Correct digits 10 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5499304587200928 y[1] (closed_form) -0.010432176997673393 y[1] (numeric) -0.010432176998457903 absolute error 7.845096100522753e-13 relative error 7.520094897040554e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.539838137533525 y[1] (closed_form) -0.01547662219732358 y[1] (numeric) -0.015476622198109826 absolute error 7.86246068251728e-13 relative error 5.080217493373302e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.030938384605521417 Order of pole (three term test) 32.999077791038296 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5299437049976743 y[1] (closed_form) -0.02042062966936887 y[1] (numeric) -0.020420629670156825 absolute error 7.879565055990412e-13 relative error 3.8586298187512956e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5198513838111065 y[1] (closed_form) -0.02546145443385876 y[1] (numeric) -0.025461454434648454 absolute error 7.896946985219699e-13 relative error 3.1015301995939017e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5099569512752558 y[1] (closed_form) -0.030400925177057506 y[1] (numeric) -0.0304009251778489 absolute error 7.913947275284272e-13 relative error 2.6031929058713798e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.499864630088688 y[1] (closed_form) -0.03543611591351561 y[1] (numeric) -0.03543611591430873 absolute error 7.931225121105001e-13 relative error 2.2381756342771106e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4899701975528372 y[1] (closed_form) -0.04036907682157229 y[1] (numeric) -0.040369076822367095 absolute error 7.948017244352457e-13 relative error 1.968837999313678e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4798778763662694 y[1] (closed_form) -0.045396622187679196 y[1] (numeric) -0.0453966221884757 absolute error 7.965017534417029e-13 relative error 1.7545396883248206e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4699834438304187 y[1] (closed_form) -0.05032110275469768 y[1] (numeric) -0.050321102755495874 absolute error 7.981948435542563e-13 relative error 1.58620300402646e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.459891122643851 y[1] (closed_form) -0.05533899446213088 y[1] (numeric) -0.055338994462930814 absolute error 7.99936505924137e-13 relative error 1.445520493639513e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4499966901080001 y[1] (closed_form) -0.06025302756974684 y[1] (numeric) -0.06025302757054845 absolute error 8.016087793549787e-13 relative error 1.3304041501102393e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4399043689214324 y[1] (closed_form) -0.06525926118640563 y[1] (numeric) -0.06525926118720893 absolute error 8.03301869467532e-13 relative error 1.230939264195762e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4300099363855816 y[1] (closed_form) -0.0701608838895658 y[1] (numeric) -0.07016088389037076 absolute error 8.049533262166619e-13 relative error 1.1472964443886847e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4199176151990138 y[1] (closed_form) -0.07515345964025574 y[1] (numeric) -0.0751534596410624 absolute error 8.066602941170231e-13 relative error 1.0733508450287468e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.409825294012446 y[1] (closed_form) -0.08013838070427484 y[1] (numeric) -0.08013838070508325 absolute error 8.084088953808077e-13 relative error 1.0087661970161129e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3999308614765953 y[1] (closed_form) -0.08501763751658732 y[1] (numeric) -0.08501763751739737 absolute error 8.100464743421298e-13 relative error 9.52798146365907e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3898385402900275 y[1] (closed_form) -0.08998590168838744 y[1] (numeric) -0.08998590168919922 absolute error 8.117811978181066e-13 relative error 9.021204239628861e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3799441077541768 y[1] (closed_form) -0.0948478545002371 y[1] (numeric) -0.09484785450105056 absolute error 8.134604101428522e-13 relative error 8.576476657580259e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.369851786567609 y[1] (closed_form) -0.09979747717178533 y[1] (numeric) -0.09979747717260053 absolute error 8.15195133618829e-13 relative error 8.168494402073927e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3599573540317582 y[1] (closed_form) -0.104640183841959 y[1] (numeric) -0.10464018384277589 absolute error 8.168882237313824e-13 relative error 7.806639798771298e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3498650328451904 y[1] (closed_form) -0.10956918785170071 y[1] (numeric) -0.1095691878525193 absolute error 8.185951916317435e-13 relative error 7.471034582639169e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3399706003093397 y[1] (closed_form) -0.11439071392699174 y[1] (numeric) -0.11439071392781198 absolute error 8.202466483808735e-13 relative error 7.1705702344369e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.329878279122772 y[1] (closed_form) -0.11929713034964162 y[1] (numeric) -0.11929713035046355 absolute error 8.21925860705619e-13 relative error 6.889737064895695e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3199838465869211 y[1] (closed_form) -0.12409554983758084 y[1] (numeric) -0.12409554983840443 absolute error 8.235911952425568e-13 relative error 6.636750442062526e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3098915254003534 y[1] (closed_form) -0.12897741877062396 y[1] (numeric) -0.12897741877144922 absolute error 8.252565297794945e-13 relative error 6.398457479189806e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2999970928645026 y[1] (closed_form) -0.13375081490883084 y[1] (numeric) -0.1337508149096577 absolute error 8.26866353165201e-13 relative error 6.182140675021842e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2899047716779348 y[1] (closed_form) -0.13860618625541948 y[1] (numeric) -0.13860618625624804 absolute error 8.285594432777543e-13 relative error 5.977795549117186e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.280010339142084 y[1] (closed_form) -0.14335265227726637 y[1] (numeric) -0.14335265227809654 absolute error 8.301692666634608e-13 relative error 5.791098061149117e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2699180179555163 y[1] (closed_form) -0.14817958652519994 y[1] (numeric) -0.14817958652603178 absolute error 8.318346012003985e-13 relative error 5.613692281824081e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2598256967689485 y[1] (closed_form) -0.15299142807731758 y[1] (numeric) -0.15299142807815105 absolute error 8.334721801617206e-13 relative error 5.447835807771578e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2499312642330977 y[1] (closed_form) -0.1576937954179601 y[1] (numeric) -0.15769379541879522 absolute error 8.351097591230427e-13 relative error 5.295768022512382e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2992908430978025 Order of pole (three term test) 32.90052816901409 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.23983894304653 y[1] (closed_form) -0.16247430265760437 y[1] (numeric) -0.16247430265844107 absolute error 8.366918269331336e-13 relative error 5.149687139734115e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2299445105106792 y[1] (closed_form) -0.1671450124161063 y[1] (numeric) -0.16714501241694452 absolute error 8.382183835919932e-13 relative error 5.014917115835049e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2198521893241114 y[1] (closed_form) -0.1718922757360701 y[1] (numeric) -0.17189227573690988 absolute error 8.397726958264684e-13 relative error 4.88545917628019e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2099577567882607 y[1] (closed_form) -0.17652946216459964 y[1] (numeric) -0.17652946216544102 absolute error 8.413825192121749e-13 relative error 4.766244166243779e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.199865435601693 y[1] (closed_form) -0.18124158523719322 y[1] (numeric) -0.18124158523803618 absolute error 8.429645870222657e-13 relative error 4.6510550319843376e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1899710030658421 y[1] (closed_form) -0.1858433959790484 y[1] (numeric) -0.1858433959798929 absolute error 8.44518899256741e-13 relative error 4.5442502533259254e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1798786818792744 y[1] (closed_form) -0.19051849651360067 y[1] (numeric) -0.19051849651444688 absolute error 8.462119893692943e-13 relative error 4.4416264292159434e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1699842493434236 y[1] (closed_form) -0.19508309334314602 y[1] (numeric) -0.19508309334399385 absolute error 8.478218127550008e-13 relative error 4.345952272059294e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1598919281568558 y[1] (closed_form) -0.19971930383789896 y[1] (numeric) -0.19971930383874828 absolute error 8.493206138382448e-13 relative error 4.252571471646982e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.149997495621005 y[1] (closed_form) -0.2042448633948578 y[1] (numeric) -0.20424486339570863 absolute error 8.508194149214887e-13 relative error 4.165683292003462e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1399051744344373 y[1] (closed_form) -0.20884033188295295 y[1] (numeric) -0.2088403318838055 absolute error 8.525402606096577e-13 relative error 4.0822586945871834e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1300107418985865 y[1] (closed_form) -0.2133250464007615 y[1] (numeric) -0.2133250464016156 absolute error 8.540945728441329e-13 relative error 4.0037238348449465e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1199184207120187 y[1] (closed_form) -0.21787793719002124 y[1] (numeric) -0.2178779371908769 absolute error 8.556488850786081e-13 relative error 3.9271938045400066e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.109826099525451 y[1] (closed_form) -0.22240863622191331 y[1] (numeric) -0.22240863622277054 absolute error 8.57230952888699e-13 relative error 3.8543060532657425e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0999316669896002 y[1] (closed_form) -0.22682850962416126 y[1] (numeric) -0.22682850962501996 absolute error 8.587019983963273e-13 relative error 3.7856881386697624e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0898393458030324 y[1] (closed_form) -0.2313139006206591 y[1] (numeric) -0.23131390062151935 absolute error 8.602563106308025e-13 relative error 3.7189996291730483e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0799449132671817 y[1] (closed_form) -0.23568847381632302 y[1] (numeric) -0.23568847381718486 absolute error 8.618383784408934e-13 relative error 3.6566844550596993e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.069852592080614 y[1] (closed_form) -0.2401267650564765 y[1] (numeric) -0.2401267650573398 absolute error 8.632816683729061e-13 relative error 3.595108059569565e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0599581595447631 y[1] (closed_form) -0.24445429059155555 y[1] (numeric) -0.24445429059242035 absolute error 8.648082250317657e-13 relative error 3.5377093318305605e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0498658383581954 y[1] (closed_form) -0.24884370916874315 y[1] (numeric) -0.2488437091696095 absolute error 8.663347816906253e-13 relative error 3.481441361666715e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0399714058223446 y[1] (closed_form) -0.253122458382755 y[1] (numeric) -0.25312245838362274 absolute error 8.677503160470224e-13 relative error 3.428183818975351e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0298790846357768 y[1] (closed_form) -0.25746125091288385 y[1] (numeric) -0.2574612509137532 absolute error 8.693601394327288e-13 relative error 3.3766640080797666e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.019984652099926 y[1] (closed_form) -0.26168951462939033 y[1] (numeric) -0.261689514630261 absolute error 8.70692407062279e-13 relative error 3.327196384980767e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0098923309133583 y[1] (closed_form) -0.2659759479512978 y[1] (numeric) -0.2659759479521701 absolute error 8.723022304479855e-13 relative error 3.279628241451782e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9999978983775074 y[1] (closed_form) -0.2701520371606475 y[1] (numeric) -0.27015203716152114 absolute error 8.736344980775357e-13 relative error 3.233862336407346e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.989905577190934 y[1] (closed_form) -0.27438439902842693 y[1] (numeric) -0.2743843990292997 absolute error 8.727463196578356e-13 relative error 3.180743230111333e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9800111446550777 y[1] (closed_form) -0.2785066455624442 y[1] (numeric) -0.2785066455633161 absolute error 8.719136523893667e-13 relative error 3.1306744965763274e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9699188234685042 y[1] (closed_form) -0.2826832453294064 y[1] (numeric) -0.2826832453302774 absolute error 8.709699628184353e-13 relative error 3.081080952652526e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9598265022819308 y[1] (closed_form) -0.28683105265380576 y[1] (numeric) -0.28683105265467573 absolute error 8.699707620962727e-13 relative error 3.033042461920239e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4698823700565773 Order of pole (three term test) 32.67094068200956 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9499320697460745 y[1] (closed_form) -0.2908691718217672 y[1] (numeric) -0.2908691718226362 absolute error 8.690270725253413e-13 relative error 2.987690538266619e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.939839748559501 y[1] (closed_form) -0.29495871490319403 y[1] (numeric) -0.29495871490406195 absolute error 8.679168495007161e-13 relative error 2.942502816997857e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9299453160236447 y[1] (closed_form) -0.2989389085796535 y[1] (numeric) -0.29893890858052075 absolute error 8.67250715685941e-13 relative error 2.901096815421264e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9198529948370713 y[1] (closed_form) -0.3029685538213889 y[1] (numeric) -0.30296855382225535 absolute error 8.664735595687034e-13 relative error 2.8599455245098523e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.909958562301215 y[1] (closed_form) -0.30688923209001545 y[1] (numeric) -0.3068892320908811 absolute error 8.656408923002346e-13 relative error 2.820694901560862e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8998662411146415 y[1] (closed_form) -0.3108573698219533 y[1] (numeric) -0.3108573698228182 absolute error 8.649192473342282e-13 relative error 2.782366870792285e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8899718085787852 y[1] (closed_form) -0.31471696654026404 y[1] (numeric) -0.31471696654112813 absolute error 8.640865800657593e-13 relative error 2.7455989728320236e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8798794873922118 y[1] (closed_form) -0.3186220116619051 y[1] (numeric) -0.31862201166276855 absolute error 8.634204462509842e-13 relative error 2.7098581223169644e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8699850548563555 y[1] (closed_form) -0.32241898508687145 y[1] (numeric) -0.3224189850877338 absolute error 8.623657343775903e-13 relative error 2.67467417945391e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.859892733669782 y[1] (closed_form) -0.3262593777005033 y[1] (numeric) -0.32625937770136465 absolute error 8.613665336554277e-13 relative error 2.640128046974139e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8499983011339257 y[1] (closed_form) -0.3299922111044112 y[1] (numeric) -0.32999221110527155 absolute error 8.603673329332651e-13 relative error 2.6072352739896656e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8399059799473523 y[1] (closed_form) -0.3337664171382197 y[1] (numeric) -0.33376641713907906 absolute error 8.593681322111024e-13 relative error 2.5747591371819175e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.830011547411496 y[1] (closed_form) -0.3374336194145372 y[1] (numeric) -0.3374336194153956 absolute error 8.58424442640171e-13 relative error 2.54398018825029e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8199192262249225 y[1] (closed_form) -0.34114013123540277 y[1] (numeric) -0.34114013123626036 absolute error 8.575917753717022e-13 relative error 2.5138988258755266e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8098269050383491 y[1] (closed_form) -0.34481189654123157 y[1] (numeric) -0.34481189654208844 absolute error 8.568701304056958e-13 relative error 2.4850364474104907e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7999324725024928 y[1] (closed_form) -0.3483775745101451 y[1] (numeric) -0.3483775745110012 absolute error 8.560929742884582e-13 relative error 2.4573710735893764e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7898401513159193 y[1] (closed_form) -0.35197942784769665 y[1] (numeric) -0.35197942784855196 absolute error 8.553158181712206e-13 relative error 2.430016502388657e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.779945718780063 y[1] (closed_form) -0.35547585591487674 y[1] (numeric) -0.3554758559157314 absolute error 8.546496843564455e-13 relative error 2.4042411605054333e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7698533975934896 y[1] (closed_form) -0.35900635849852697 y[1] (numeric) -0.3590063584993808 absolute error 8.538170170879766e-13 relative error 2.3782782585213735e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7599589650576333 y[1] (closed_form) -0.3624321399912145 y[1] (numeric) -0.36243213999206764 absolute error 8.531508832732015e-13 relative error 2.35396033942763e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7498666438710598 y[1] (closed_form) -0.3658898815368993 y[1] (numeric) -0.36588988153775187 absolute error 8.52595771760889e-13 relative error 2.3301977310211744e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7399722113352035 y[1] (closed_form) -0.36924364800260584 y[1] (numeric) -0.36924364800345755 absolute error 8.517075933411888e-13 relative error 2.3066276101117334e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7298798901486301 y[1] (closed_form) -0.37262724729116903 y[1] (numeric) -0.3726272472920201 absolute error 8.51096970677645e-13 relative error 2.2840438450616097e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7199854576127738 y[1] (closed_form) -0.37590765904431456 y[1] (numeric) -0.3759076590451648 absolute error 8.502643034091761e-13 relative error 2.2618967263684862e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7098931364262003 y[1] (closed_form) -0.37921576447324545 y[1] (numeric) -0.379215764474095 absolute error 8.495426584431698e-13 relative error 2.2402619775663544e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.699998703890344 y[1] (closed_form) -0.3824215111303055 y[1] (numeric) -0.38242151113115436 absolute error 8.488765246283947e-13 relative error 2.2197405217070813e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4927247307373654 Order of pole (three term test) 32.41498993963783 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6899063827037706 y[1] (closed_form) -0.3856528012536461 y[1] (numeric) -0.3856528012544946 absolute error 8.484879465697759e-13 relative error 2.2001342757308807e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6800119501679143 y[1] (closed_form) -0.3887826022565933 y[1] (numeric) -0.38878260225744105 absolute error 8.477663016037695e-13 relative error 2.1805664571488486e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6699196289813408 y[1] (closed_form) -0.39193578631279924 y[1] (numeric) -0.3919357863136464 absolute error 8.471556789402257e-13 relative error 2.161465496452832e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6598273077947674 y[1] (closed_form) -0.39504905010913055 y[1] (numeric) -0.39504905010997715 absolute error 8.466005674279131e-13 relative error 2.143026460116898e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6499328752589111 y[1] (closed_form) -0.3980622098681756 y[1] (numeric) -0.39806220986902163 absolute error 8.460454559156005e-13 relative error 2.1254101367617425e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6398405540723376 y[1] (closed_form) -0.4010954840345956 y[1] (numeric) -0.401095484035441 absolute error 8.453793221008254e-13 relative error 2.107675991754395e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6299461215364813 y[1] (closed_form) -0.40402962467683873 y[1] (numeric) -0.4040296246776835 absolute error 8.447686994372816e-13 relative error 2.0908583129590213e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6198538003499079 y[1] (closed_form) -0.4069816975506683 y[1] (numeric) -0.4069816975515124 absolute error 8.441025656225065e-13 relative error 2.0740553462294644e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6099593678140516 y[1] (closed_form) -0.40983564701301334 y[1] (numeric) -0.4098356470138567 absolute error 8.433809206565002e-13 relative error 2.0578515480614614e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5998670466274781 y[1] (closed_form) -0.4127053393680003 y[1] (numeric) -0.4127053393688429 absolute error 8.426037645392626e-13 relative error 2.0416594702399312e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5899726140916218 y[1] (closed_form) -0.4154779576202813 y[1] (numeric) -0.4154779576211231 absolute error 8.418266084220249e-13 relative error 2.0261643078341052e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5798802929050484 y[1] (closed_form) -0.41826412313765055 y[1] (numeric) -0.41826412313849165 absolute error 8.411049634560186e-13 relative error 2.0109421700966958e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45835362463213675 Order of pole (three term test) 32.30021711176016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5699858603691921 y[1] (closed_form) -0.4209543026380247 y[1] (numeric) -0.42095430263886546 absolute error 8.40771896548631e-13 relative error 1.9972996861647574e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5598935391826186 y[1] (closed_form) -0.4236558283643835 y[1] (numeric) -0.4236558283652236 absolute error 8.40105762733856e-13 relative error 1.982991160483426e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5499991066467623 y[1] (closed_form) -0.4262624945017469 y[1] (numeric) -0.42626249450258646 absolute error 8.395506512215434e-13 relative error 1.9695625630936262e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5399067854601889 y[1] (closed_form) -0.42887830129366145 y[1] (numeric) -0.4288783012945006 absolute error 8.391620731629246e-13 relative error 1.9566438092850349e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44093536825779217 Order of pole (three term test) 32.264251272649716 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5300123529243326 y[1] (closed_form) -0.4314004128169099 y[1] (numeric) -0.43140041281774855 absolute error 8.386624728018433e-13 relative error 1.9440465235664457e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5199200317377591 y[1] (closed_form) -0.4339294557719773 y[1] (numeric) -0.43392945577281544 absolute error 8.381628724407619e-13 relative error 1.931564823018612e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5098277105511857 y[1] (closed_form) -0.4364143012405006 y[1] (numeric) -0.4364143012413384 absolute error 8.377742943821431e-13 relative error 1.9196765367238955e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49993327801532944 y[1] (closed_form) -0.4388072740801826 y[1] (numeric) -0.43880727408101994 absolute error 8.373302051722931e-13 relative error 1.9081958176912285e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48984095682875883 y[1] (closed_form) -0.44120384864217155 y[1] (numeric) -0.44120384864300916 absolute error 8.376077609284494e-13 relative error 1.8984597788669162e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41516007811575334 Order of pole (three term test) 32.22132920069436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4799465242929053 y[1] (closed_form) -0.443509807739479 y[1] (numeric) -0.44350980774031695 absolute error 8.379408278358369e-13 relative error 1.8893400173194133e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4698542031063347 y[1] (closed_form) -0.44581715406638595 y[1] (numeric) -0.44581715406722416 absolute error 8.382183835919932e-13 relative error 1.880184232361717e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45995977057048115 y[1] (closed_form) -0.4480351782897554 y[1] (numeric) -0.44803517829059375 absolute error 8.383294058944557e-13 relative error 1.8711240690843417e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.44986744938391054 y[1] (closed_form) -0.4502523746958774 y[1] (numeric) -0.4502523746967159 absolute error 8.384959393481495e-13 relative error 1.8622798822871525e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.439973016848057 y[1] (closed_form) -0.45238157803994794 y[1] (numeric) -0.4523815780407865 absolute error 8.385514504993807e-13 relative error 1.8536374848255464e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4298806956614864 y[1] (closed_form) -0.4545077388506016 y[1] (numeric) -0.4545077388514405 absolute error 8.389400285579995e-13 relative error 1.8458212189732643e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41998626312563286 y[1] (closed_form) -0.45654727079013646 y[1] (numeric) -0.4565472707909756 absolute error 8.391620731629246e-13 relative error 1.8380617448673058e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.40989394193906226 y[1] (closed_form) -0.45858154669544643 y[1] (numeric) -0.4585815466962859 absolute error 8.394951400703121e-13 relative error 1.830634368346789e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3999995094032087 y[1] (closed_form) -0.4605305925250817 y[1] (numeric) -0.46053059252592143 absolute error 8.397171846752371e-13 relative error 1.823368953778036e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3899071882166381 y[1] (closed_form) -0.4624721709192438 y[1] (numeric) -0.4624721709200837 absolute error 8.398837181289309e-13 relative error 1.816074070920886e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3800127556807846 y[1] (closed_form) -0.4643299520789279 y[1] (numeric) -0.4643299520797678 absolute error 8.398837181289309e-13 relative error 1.808807970212883e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36992043449421397 y[1] (closed_form) -0.46617805738481005 y[1] (numeric) -0.4661780573856502 absolute error 8.401612738850872e-13 relative error 1.8022325602330314e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35982811330764336 y[1] (closed_form) -0.4679786805524223 y[1] (numeric) -0.4679786805532626 absolute error 8.402722961875497e-13 relative error 1.7955354188264642e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3499336807717898 y[1] (closed_form) -0.46969772574975716 y[1] (numeric) -0.4696977257505974 absolute error 8.402167850363185e-13 relative error 1.7888457596747325e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3220581798903964 Order of pole (three term test) 32.11753965269601 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3398413595852192 y[1] (closed_form) -0.4714037790978477 y[1] (numeric) -0.471403779098688 absolute error 8.40327807338781e-13 relative error 1.7826072776653685e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3299469270493657 y[1] (closed_form) -0.47302977005782576 y[1] (numeric) -0.4730297700586662 absolute error 8.404388296412435e-13 relative error 1.776714454015238e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31985460586279507 y[1] (closed_form) -0.47464057209139715 y[1] (numeric) -0.4746405720922377 absolute error 8.40549851943706e-13 relative error 1.7709186727127262e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30996017332694153 y[1] (closed_form) -0.47617285930050446 y[1] (numeric) -0.47617285930134523 absolute error 8.40771896548631e-13 relative error 1.765686305144986e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2998678521403709 y[1] (closed_form) -0.47768776657336603 y[1] (numeric) -0.4776877665742068 absolute error 8.40771896548631e-13 relative error 1.7600867248073026e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2822123481387051 Order of pole (three term test) 32.087187554709516 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2899734196045174 y[1] (closed_form) -0.47912573794871033 y[1] (numeric) -0.47912573794955116 absolute error 8.408274076998623e-13 relative error 1.7549201412132686e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2798810984179468 y[1] (closed_form) -0.48054414532050754 y[1] (numeric) -0.4805441453213483 absolute error 8.40771896548631e-13 relative error 1.7496246801381028e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26998666588209325 y[1] (closed_form) -0.48188722645431903 y[1] (numeric) -0.48188722645515997 absolute error 8.409384300023248e-13 relative error 1.745093839050001e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25989434469552264 y[1] (closed_form) -0.48320856733226075 y[1] (numeric) -0.4832085673331018 absolute error 8.410494523047873e-13 relative error 1.7405516151092378e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2499999121596691 y[1] (closed_form) -0.48445622172134334 y[1] (numeric) -0.4844562217221846 absolute error 8.412714969097124e-13 relative error 1.7365273871817613e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2399075909730985 y[1] (closed_form) -0.4856799682865315 y[1] (numeric) -0.485679968287373 absolute error 8.414935415146374e-13 relative error 1.7326091180647385e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23001315843724496 y[1] (closed_form) -0.48683169754657285 y[1] (numeric) -0.4868316975474144 absolute error 8.415490526658687e-13 relative error 1.7286241978632908e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21992083725067435 y[1] (closed_form) -0.4879573609648433 y[1] (numeric) -0.4879573609656851 absolute error 8.417710972707937e-13 relative error 1.7250915030902508e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.20982851606410374 y[1] (closed_form) -0.48903332393386234 y[1] (numeric) -0.48903332393470417 absolute error 8.418266084220249e-13 relative error 1.7214094975169318e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1999340835282502 y[1] (closed_form) -0.4900398356466888 y[1] (numeric) -0.4900398356475305 absolute error 8.417155861195624e-13 relative error 1.717647270468898e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1898417623416796 y[1] (closed_form) -0.4910170537060804 y[1] (numeric) -0.49101705370692217 absolute error 8.417710972707937e-13 relative error 1.714341876554602e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17994732980582606 y[1] (closed_form) -0.4919265604729238 y[1] (numeric) -0.49192656047376554 absolute error 8.417155861195624e-13 relative error 1.7110594421052639e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16985500861925545 y[1] (closed_form) -0.49280464326606777 y[1] (numeric) -0.4928046432669093 absolute error 8.415490526658687e-13 relative error 1.7076727343486332e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15996057608340192 y[1] (closed_form) -0.4936167817780594 y[1] (numeric) -0.49361678177890106 absolute error 8.416600749683312e-13 relative error 1.7050880481343915e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1498682548968313 y[1] (closed_form) -0.4943953785486141 y[1] (numeric) -0.4943953785494559 absolute error 8.418266084220249e-13 relative error 1.7027396390584339e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13997382236097777 y[1] (closed_form) -0.49510982439131895 y[1] (numeric) -0.49510982439216067 absolute error 8.417155861195624e-13 relative error 1.7000583398932867e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12988150117440717 y[1] (closed_form) -0.49578862412333363 y[1] (numeric) -0.4957886241241753 absolute error 8.416600749683312e-13 relative error 1.697618771420132e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11998706863855327 y[1] (closed_form) -0.49640509190633975 y[1] (numeric) -0.4964050919071814 absolute error 8.416600749683312e-13 relative error 1.6955105592009783e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10989474745198195 y[1] (closed_form) -0.4969838234484919 y[1] (numeric) -0.4969838234493334 absolute error 8.414935415146374e-13 relative error 1.6932010697564504e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10000031491612772 y[1] (closed_form) -0.49750206691941173 y[1] (numeric) -0.4975020669202532 absolute error 8.414935415146374e-13 relative error 1.6914372772866235e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.0899079937295564 y[1] (closed_form) -0.4979804990933203 y[1] (numeric) -0.4979804990941618 absolute error 8.414935415146374e-13 relative error 1.6898122377216696e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.08001356119370218 y[1] (closed_form) -0.49840031123615797 y[1] (numeric) -0.4984003112369994 absolute error 8.414380303634061e-13 relative error 1.6882774978138124e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.06992124000713086 y[1] (closed_form) -0.49877825292872946 y[1] (numeric) -0.498778252929571 absolute error 8.415490526658687e-13 relative error 1.6872208195214113e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.059828918820559546 y[1] (closed_form) -0.49910539202002785 y[1] (numeric) -0.49910539202086945 absolute error 8.416045638170999e-13 relative error 1.6862261503745254e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.049934486284705315 y[1] (closed_form) -0.49937676628634436 y[1] (numeric) -0.4993767662871859 absolute error 8.415490526658687e-13 relative error 1.685198650558207e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.039842165098134 y[1] (closed_form) -0.49960320296381205 y[1] (numeric) -0.49960320296465355 absolute error 8.414935415146374e-13 relative error 1.6843237523751216e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.02994773256227977 y[1] (closed_form) -0.4997758000857988 y[1] (numeric) -0.49977580008664035 absolute error 8.415490526658687e-13 relative error 1.6838531447929173e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.019855411375708454 y[1] (closed_form) -0.49990144389771396 y[1] (numeric) -0.49990144389855534 absolute error 8.413825192121749e-13 relative error 1.6830967973445825e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.009960978839854273 y[1] (closed_form) -0.49997519493023784 y[1] (numeric) -0.4999751949310792 absolute error 8.413825192121749e-13 relative error 1.6828485247744622e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.00013134234671698043 y[1] (closed_form) -0.49999999568729697 y[1] (numeric) -0.4999999956881383 absolute error 8.413270080609436e-13 relative error 1.6826540306354615e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.01002577488257115 y[1] (closed_form) -0.49997487116998984 y[1] (numeric) -0.499974871170831 absolute error 8.411604746072499e-13 relative error 1.6824055029782847e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.020118096069142416 y[1] (closed_form) -0.49989881896535626 y[1] (numeric) -0.4998988189661972 absolute error 8.409384300023248e-13 relative error 1.6822172769738091e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.030012528604996647 y[1] (closed_form) -0.4997748289343831 y[1] (numeric) -0.49977482893522407 absolute error 8.409939411535561e-13 relative error 1.6827456935890875e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.04010484979156796 y[1] (closed_form) -0.4995979541476443 y[1] (numeric) -0.49959795414848535 absolute error 8.410494523047873e-13 relative error 1.6834525548442002e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.04999928232742219 y[1] (closed_form) -0.49937514813169415 y[1] (numeric) -0.4993751481325353 absolute error 8.411604746072499e-13 relative error 1.6844259826590747e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.06009160351399351 y[1] (closed_form) -0.4990975214167266 y[1] (numeric) -0.4990975214175677 absolute error 8.411049634560186e-13 relative error 1.685251734106949e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.06998603604984774 y[1] (closed_form) -0.49877598841722803 y[1] (numeric) -0.4987759884180692 absolute error 8.411604746072499e-13 relative error 1.686449416453496e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08007835723641905 y[1] (closed_form) -0.4983977206739737 y[1] (numeric) -0.49839772067481486 absolute error 8.411604746072499e-13 relative error 1.6877293769918624e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09017067842299037 y[1] (closed_form) -0.49796868908820985 y[1] (numeric) -0.49796868908905095 absolute error 8.411049634560186e-13 relative error 1.6890719876305833e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1000651109588446 y[1] (closed_form) -0.4974988314597095 y[1] (numeric) -0.49749883146055063 absolute error 8.411049634560186e-13 relative error 1.6906672142085952e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11015743214541591 y[1] (closed_form) -0.4969694015029029 y[1] (numeric) -0.4969694015037441 absolute error 8.411604746072499e-13 relative error 1.6925800100840544e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12005186468127015 y[1] (closed_form) -0.4964012128415467 y[1] (numeric) -0.4964012128423878 absolute error 8.411049634560186e-13 relative error 1.6944055366853077e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1301441858678411 y[1] (closed_form) -0.4957715959982137 y[1] (numeric) -0.4957715959990545 absolute error 8.408274076998623e-13 relative error 1.6959975409783095e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14003861840369464 y[1] (closed_form) -0.4951053032709548 y[1] (numeric) -0.49510530327179547 absolute error 8.406608742461685e-13 relative error 1.6979435863285483e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15013093959026524 y[1] (closed_form) -0.4943757510459674 y[1] (numeric) -0.49437575104680814 absolute error 8.407163853973998e-13 relative error 1.7005615336485818e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16002537212611878 y[1] (closed_form) -0.49361162040811746 y[1] (numeric) -0.4936116204089583 absolute error 8.408274076998623e-13 relative error 1.703418989619141e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1701176933126894 y[1] (closed_form) -0.4927824242262382 y[1] (numeric) -0.492782424227079 absolute error 8.408274076998623e-13 relative error 1.7062853023220557e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18001212584854293 y[1] (closed_form) -0.4919207609151495 y[1] (numeric) -0.49192076091599046 absolute error 8.409384300023248e-13 relative error 1.7094997747968126e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19010444703511353 y[1] (closed_form) -0.49099225200461954 y[1] (numeric) -0.4909922520054601 absolute error 8.40549851943706e-13 relative error 1.7119411732301584e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19999887957096707 y[1] (closed_form) -0.4900334002177563 y[1] (numeric) -0.49003340021859687 absolute error 8.40549851943706e-13 relative error 1.715290940515872e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21009120075753768 y[1] (closed_form) -0.48900594947798404 y[1] (numeric) -0.48900594947882453 absolute error 8.404943407924748e-13 relative error 1.7187814211457062e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21998563329339121 y[1] (closed_form) -0.4879502922354299 y[1] (numeric) -0.4879502922362704 absolute error 8.404943407924748e-13 relative error 1.722499922977701e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23007795447996182 y[1] (closed_form) -0.48682431008883276 y[1] (numeric) -0.48682431008967336 absolute error 8.406053630949373e-13 relative error 1.7267119691322495e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24017027566653243 y[1] (closed_form) -0.4856487428988415 y[1] (numeric) -0.48564874289968213 absolute error 8.406053630949373e-13 relative error 1.7308916688991238e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25006470820238597 y[1] (closed_form) -0.4844482053083489 y[1] (numeric) -0.4844482053091897 absolute error 8.40771896548631e-13 relative error 1.735524845248387e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2601570293889566 y[1] (closed_form) -0.4831747985089851 y[1] (numeric) -0.4831747985098258 absolute error 8.407163853973998e-13 relative error 1.7399839312640927e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2700514619248101 y[1] (closed_form) -0.48187858428828284 y[1] (numeric) -0.48187858428912345 absolute error 8.406053630949373e-13 relative error 1.7444339518355662e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2801437831113807 y[1] (closed_form) -0.48050784655084 y[1] (numeric) -0.4805078465516804 absolute error 8.403833184900122e-13 relative error 1.7489481691556428e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29003821564723425 y[1] (closed_form) -0.4791164734818063 y[1] (numeric) -0.47911647348264663 absolute error 8.40327807338781e-13 relative error 1.7539113218796287e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30013053683380486 y[1] (closed_form) -0.47764895235710514 y[1] (numeric) -0.4776489523579455 absolute error 8.403833184900122e-13 relative error 1.7594162288912877e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3100249693696584 y[1] (closed_form) -0.47616297623348897 y[1] (numeric) -0.4761629762343291 absolute error 8.401612738850872e-13 relative error 1.7644405714423075e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.320117290556229 y[1] (closed_form) -0.4745992579331543 y[1] (numeric) -0.4745992579339945 absolute error 8.402167850363185e-13 relative error 1.770371046712973e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33001172309208254 y[1] (closed_form) -0.4730192723385594 y[1] (numeric) -0.4730192723393993 absolute error 8.398837181289309e-13 relative error 1.7755803351872553e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34010404427865315 y[1] (closed_form) -0.4713599815008537 y[1] (numeric) -0.47135998150169334 absolute error 8.396616735240059e-13 relative error 1.781359696362949e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3499984768145067 y[1] (closed_form) -0.4696866175716276 y[1] (numeric) -0.4696866175724673 absolute error 8.397171846752371e-13 relative error 1.7878243774896984e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32210789245275573 Order of pole (three term test) 32.11758048289738 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600907980010773 y[1] (closed_form) -0.46793241701193505 y[1] (numeric) -0.4679324170127746 absolute error 8.395506512215434e-13 relative error 1.7941707406865334e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36998523053693083 y[1] (closed_form) -0.4661663431850572 y[1] (numeric) -0.4661663431858966 absolute error 8.394396289190809e-13 relative error 1.8007298064112768e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.38007755172350144 y[1] (closed_form) -0.4643179336311172 y[1] (numeric) -0.46431793363195656 absolute error 8.393841177678496e-13 relative error 1.8077788019161632e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39016987291007205 y[1] (closed_form) -0.4624222314001053 y[1] (numeric) -0.4624222314009445 absolute error 8.392175843141558e-13 relative error 1.814829667192261e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4000643054459256 y[1] (closed_form) -0.46051797518918364 y[1] (numeric) -0.4605179751900227 absolute error 8.390510508604621e-13 relative error 1.8219724225005e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4101566266324962 y[1] (closed_form) -0.4585291893653888 y[1] (numeric) -0.4585291893662276 absolute error 8.38829006255537e-13 relative error 1.829390637958052e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4200510591683497 y[1] (closed_form) -0.45653405960623455 y[1] (numeric) -0.4565340596070731 absolute error 8.385514504993807e-13 relative error 1.8367774163939494e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43014338035492033 y[1] (closed_form) -0.45445298462412814 y[1] (numeric) -0.45445298462496647 absolute error 8.383294058944557e-13 relative error 1.8446999673416744e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44003781289077387 y[1] (closed_form) -0.4523677782853424 y[1] (numeric) -0.4523677782861803 absolute error 8.378853166846056e-13 relative error 1.8522214819555259e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4501301340773445 y[1] (closed_form) -0.45019524544494877 y[1] (numeric) -0.45019524544578626 absolute error 8.374967386259868e-13 relative error 1.860296720366849e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.460024566613198 y[1] (closed_form) -0.4480207954768552 y[1] (numeric) -0.4480207954776926 absolute error 8.373857163235243e-13 relative error 1.8690777856243143e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4701168877997686 y[1] (closed_form) -0.4457576726116827 y[1] (numeric) -0.4457576726125199 absolute error 8.372191828698305e-13 relative error 1.878193543959849e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.48001132033562216 y[1] (closed_form) -0.4434948476135998 y[1] (numeric) -0.4434948476144368 absolute error 8.369971382649055e-13 relative error 1.8872759013294092e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.49010364152219277 y[1] (closed_form) -0.4411420387439788 y[1] (numeric) -0.4411420387448155 absolute error 8.367195825087492e-13 relative error 1.8967124169146523e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4999980740580463 y[1] (closed_form) -0.4387917426172518 y[1] (numeric) -0.4387917426180885 absolute error 8.367195825087492e-13 relative error 1.9068717599788584e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100903952446197 y[1] (closed_form) -0.43635018758921645 y[1] (numeric) -0.43635018759005356 absolute error 8.37108160567368e-13 relative error 1.918431994248226e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.519984827780476 y[1] (closed_form) -0.4339133591761469 y[1] (numeric) -0.43391335917698437 absolute error 8.374967386259868e-13 relative error 1.9301012999832659e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300771489670495 y[1] (closed_form) -0.4313840332860094 y[1] (numeric) -0.4313840332868474 absolute error 8.379963389870682e-13 relative error 1.9425761602805386e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5401694701536229 y[1] (closed_form) -0.42881076917099953 y[1] (numeric) -0.42881076917183814 absolute error 8.38606961650612e-13 relative error 1.9556574180071385e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500639026894792 y[1] (closed_form) -0.42624555959958926 y[1] (numeric) -0.42624555960042837 absolute error 8.391065620116933e-13 relative error 1.9685989522094762e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5601562238760527 y[1] (closed_form) -0.42358605835399865 y[1] (numeric) -0.4235860583548384 absolute error 8.397726958264684e-13 relative error 1.9825314815358133e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.570050656411909 y[1] (closed_form) -0.4209368191293756 y[1] (numeric) -0.420936819130216 absolute error 8.404388296412435e-13 relative error 1.996591391980214e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5801429775984824 y[1] (closed_form) -0.41819214310966374 y[1] (numeric) -0.41819214311050484 absolute error 8.411049634560186e-13 relative error 2.0112882972922167e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900374101343387 y[1] (closed_form) -0.41545993248905105 y[1] (numeric) -0.4154599324898928 absolute error 8.417710972707937e-13 relative error 2.0261186012034446e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6001297313209122 y[1] (closed_form) -0.41263117807533944 y[1] (numeric) -0.412631178076182 absolute error 8.425482533880313e-13 relative error 2.0418918834926144e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100241638567685 y[1] (closed_form) -0.4098170874594674 y[1] (numeric) -0.4098170874603103 absolute error 8.429368314466501e-13 relative error 2.0568611149724696e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6201164850433419 y[1] (closed_form) -0.40690538461758285 y[1] (numeric) -0.40690538461842646 absolute error 8.436029652614252e-13 relative error 2.073216519496931e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300109175791982 y[1] (closed_form) -0.40401053811472104 y[1] (numeric) -0.4040105381155654 absolute error 8.443801213786628e-13 relative error 2.089995289031041e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6401032387657717 y[1] (closed_form) -0.4010170499448229 y[1] (numeric) -0.4010170499456679 absolute error 8.449907440422066e-13 relative error 2.1071192463224978e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.649997671301628 y[1] (closed_form) -0.39804260392174756 y[1] (numeric) -0.39804260392259333 absolute error 8.457679001594443e-13 relative error 2.124817524120399e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600899924882014 y[1] (closed_form) -0.39496852619371886 y[1] (numeric) -0.3949685261945655 absolute error 8.466560785791444e-13 relative error 2.1436039138062558e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6699844250240578 y[1] (closed_form) -0.3919156688137939 y[1] (numeric) -0.3919156688146411 absolute error 8.47211190091457e-13 relative error 2.1617180876072143e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800767462106312 y[1] (closed_form) -0.38876222948958317 y[1] (numeric) -0.3887622294904311 absolute error 8.479328350574633e-13 relative error 2.181109096351099e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6901690673972046 y[1] (closed_form) -0.385569193145216 y[1] (numeric) -0.3855691931460646 absolute error 8.485989688722384e-13 relative error 2.2008993040910108e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000634999330609 y[1] (closed_form) -0.3824006389812427 y[1] (numeric) -0.38240063898209203 absolute error 8.493206138382448e-13 relative error 2.221022998551802e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7101558211196344 y[1] (closed_form) -0.37913014865815303 y[1] (numeric) -0.37913014865900296 absolute error 8.499312365017886e-13 relative error 2.2417927973017484e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200502536554907 y[1] (closed_form) -0.37588629585072575 y[1] (numeric) -0.37588629585157673 absolute error 8.509859483751825e-13 relative error 2.2639451285373042e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7301425748420641 y[1] (closed_form) -0.37253965796925315 y[1] (numeric) -0.3725396579701051 absolute error 8.519296379461139e-13 relative error 2.2868159663592815e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400370073779204 y[1] (closed_form) -0.36922180229816876 y[1] (numeric) -0.36922180229902135 absolute error 8.52595771760889e-13 relative error 2.309169627725198e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7501293285644939 y[1] (closed_form) -0.3658003536963301 y[1] (numeric) -0.36580035369718344 absolute error 8.533174167268953e-13 relative error 2.3327408191498866e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600237611003502 y[1] (closed_form) -0.36240982050234927 y[1] (numeric) -0.36240982050320336 absolute error 8.540945728441329e-13 relative error 2.3567092405504956e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7701160822869236 y[1] (closed_form) -0.3589149279018294 y[1] (numeric) -0.3589149279026843 absolute error 8.549272401126018e-13 relative error 2.3819773814101205e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800105148227799 y[1] (closed_form) -0.35545307155725997 y[1] (numeric) -0.3554530715581156 absolute error 8.556488850786081e-13 relative error 2.407206333398561e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7901028360093534 y[1] (closed_form) -0.351886131017465 y[1] (numeric) -0.35188613101832134 absolute error 8.563150188933832e-13 relative error 2.4335003383548587e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7999972685452097 y[1] (closed_form) -0.3483543343851486 y[1] (numeric) -0.3483543343860057 absolute error 8.570921750106208e-13 relative error 2.4604033606282044e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49978671045883144 Order of pole (three term test) 32.51458752515091 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100895897317831 y[1] (closed_form) -0.34471677074554025 y[1] (numeric) -0.3447167707463981 absolute error 8.578693311278585e-13 relative error 2.488620815495839e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8199840222676394 y[1] (closed_form) -0.3411164446264578 y[1] (numeric) -0.34111644462731655 absolute error 8.587575095475586e-13 relative error 2.517490795519834e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300763434542129 y[1] (closed_form) -0.33740971093739114 y[1] (numeric) -0.33740971093825056 absolute error 8.594236433623337e-13 relative error 2.5471218388311474e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8401686646407863 y[1] (closed_form) -0.33366861069182413 y[1] (numeric) -0.33366861069268416 absolute error 8.600342660258775e-13 relative error 2.5775102555877036e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500630971766426 y[1] (closed_form) -0.32996787044940107 y[1] (numeric) -0.32996787045026194 absolute error 8.608669332943464e-13 relative error 2.6089416891465377e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8601554183632161 y[1] (closed_form) -0.32615983881702754 y[1] (numeric) -0.3261598388178891 absolute error 8.615885782603527e-13 relative error 2.6416145574063013e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700498508990724 y[1] (closed_form) -0.32239422197704304 y[1] (numeric) -0.32239422197790546 absolute error 8.624212455288216e-13 relative error 2.675051805333635e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8801421720856458 y[1] (closed_form) -0.31852078010285556 y[1] (numeric) -0.31852078010371915 absolute error 8.63586979704678e-13 relative error 2.711242197214925e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900366046215021 y[1] (closed_form) -0.3146917908674155 y[1] (numeric) -0.3146917908682797 absolute error 8.641976023682219e-13 relative error 2.7461714205704263e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9001289258080756 y[1] (closed_form) -0.3107544860249875 y[1] (numeric) -0.31075448602585265 absolute error 8.651412919391532e-13 relative error 2.784002583536599e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100233583439319 y[1] (closed_form) -0.3068636539107462 y[1] (numeric) -0.3068636539116122 absolute error 8.659739592076221e-13 relative error 2.82201540707554e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9201156795305053 y[1] (closed_form) -0.30286405888416246 y[1] (numeric) -0.30286405888502926 absolute error 8.66806626476091e-13 relative error 2.8620319943860414e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300101120663616 y[1] (closed_form) -0.29891293811134695 y[1] (numeric) -0.2989129381122146 absolute error 8.676392937445598e-13 relative error 2.902648842257068e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9401024332529351 y[1] (closed_form) -0.29485265056694393 y[1] (numeric) -0.2948526505678127 absolute error 8.68749516769185e-13 relative error 2.9463853049947145e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9499968657887914 y[1] (closed_form) -0.2908428194385094 y[1] (numeric) -0.2908428194393791 absolute error 8.696932063401164e-13 relative error 2.990251600569388e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600891869753648 y[1] (closed_form) -0.2867234612866763 y[1] (numeric) -0.2867234612875469 absolute error 8.705813847598165e-13 relative error 3.0363102511844273e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9699836195112211 y[1] (closed_form) -0.2826565215578421 y[1] (numeric) -0.2826565215587135 absolute error 8.714140520282854e-13 relative error 3.082943380274923e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800759406977946 y[1] (closed_form) -0.2784797383051373 y[1] (numeric) -0.2784797383060096 absolute error 8.723022304479855e-13 relative error 3.132372343341482e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.990168261884368 y[1] (closed_form) -0.2742745907542204 y[1] (numeric) -0.2742745907550935 absolute error 8.730793865652231e-13 relative error 3.1832310246616915e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000626944202242 y[1] (closed_form) -0.27012477463539636 y[1] (numeric) -0.27012477463627016 absolute error 8.738010315312295e-13 relative error 3.2348052218114804e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.010155015606792 y[1] (closed_form) -0.2658647214161867 y[1] (numeric) -0.26586472141705925 absolute error 8.725242750529105e-13 relative error 3.281835477852115e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0200494481426428 y[1] (closed_form) -0.2616619077264022 y[1] (numeric) -0.2616619077272731 absolute error 8.70914451667204e-13 relative error 3.328396017726225e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0301417693292105 y[1] (closed_form) -0.25734865054708905 y[1] (numeric) -0.2573486505479586 absolute error 8.695266728864226e-13 relative error 3.378788546347239e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400362018650613 y[1] (closed_form) -0.2530945181298012 y[1] (numeric) -0.2530945181306694 absolute error 8.681944052568724e-13 relative error 3.4303169095571366e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.050128523051629 y[1] (closed_form) -0.24872977995127193 y[1] (numeric) -0.24872977995213857 absolute error 8.666400930223972e-13 relative error 3.4842634974878306e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600229555874798 y[1] (closed_form) -0.24442602814956654 y[1] (numeric) -0.2444260281504317 absolute error 8.651690475147689e-13 relative error 3.539594592542182e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0701152767740476 y[1] (closed_form) -0.2400115524971553 y[1] (numeric) -0.2400115524980188 absolute error 8.635037129778311e-13 relative error 3.5977589578237724e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800097093098984 y[1] (closed_form) -0.2356599004749298 y[1] (numeric) -0.23565990047579183 absolute error 8.620326674702028e-13 relative error 3.657952268217598e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0901020304964661 y[1] (closed_form) -0.2311974507419543 y[1] (numeric) -0.23119745074281475 absolute error 8.604505996601119e-13 relative error 3.7217131802222336e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.099996463032317 y[1] (closed_form) -0.2267996367971858 y[1] (numeric) -0.2267996367980447 absolute error 8.589240430012524e-13 relative error 3.787149111571726e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100887842188847 y[1] (closed_form) -0.2222909955405472 y[1] (numeric) -0.22229099554140455 absolute error 8.573419751911615e-13 relative error 3.856845272145885e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.398229324759001 Order of pole (three term test) 32.80235555780215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1199832167547354 y[1] (closed_form) -0.21784877641091716 y[1] (numeric) -0.21784877641177294 absolute error 8.557876629566863e-13 relative error 3.9283565281195667e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300755379413032 y[1] (closed_form) -0.21329574463904538 y[1] (numeric) -0.21329574463989973 absolute error 8.543443730246736e-13 relative error 4.005444995963035e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.140167859127871 y[1] (closed_form) -0.2087209878248236 y[1] (numeric) -0.20872098782567633 absolute error 8.527345496389671e-13 relative error 4.085523734463419e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500622916637218 y[1] (closed_form) -0.20421529125362653 y[1] (numeric) -0.20421529125447777 absolute error 8.512357485557231e-13 relative error 4.1683252185974914e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1601546128502895 y[1] (closed_form) -0.199598887545952 y[1] (numeric) -0.19959888754680163 absolute error 8.496259251700167e-13 relative error 4.256666635851937e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700490453861403 y[1] (closed_form) -0.19505326263519915 y[1] (numeric) -0.19505326263604725 absolute error 8.480993685111571e-13 relative error 4.348039899734083e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.180141366572708 y[1] (closed_form) -0.1903970560889701 y[1] (numeric) -0.19039705608981652 absolute error 8.464340339742193e-13 relative error 4.4456256381332474e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900357991085588 y[1] (closed_form) -0.18581331862047182 y[1] (numeric) -0.18581331862131673 absolute error 8.449074773153598e-13 relative error 4.547077053400589e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2001281202951266 y[1] (closed_form) -0.18111916919010987 y[1] (numeric) -0.18111916919095325 absolute error 8.433809206565002e-13 relative error 4.6564972908596664e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100225528309774 y[1] (closed_form) -0.17649915017000561 y[1] (numeric) -0.17649915017084736 absolute error 8.417433416951781e-13 relative error 4.769107051701966e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2201148740175451 y[1] (closed_form) -0.17176893296648418 y[1] (numeric) -0.17176893296732434 absolute error 8.401612738850872e-13 relative error 4.891229510338873e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.230009306553396 y[1] (closed_form) -0.16711447789383402 y[1] (numeric) -0.1671144778946726 absolute error 8.385792060749964e-13 relative error 5.017992556023402e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2401016277399637 y[1] (closed_form) -0.16235008243565185 y[1] (numeric) -0.16235008243648882 absolute error 8.369693826892899e-13 relative error 5.155336973857259e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2499960602758144 y[1] (closed_form) -0.15766305056523905 y[1] (numeric) -0.1576630505660744 absolute error 8.353595593035834e-13 relative error 5.298385108677837e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2992394307504719 Order of pole (three term test) 32.900569964603754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2600883814623822 y[1] (closed_form) -0.15286638002363898 y[1] (numeric) -0.1528663800244727 absolute error 8.337219803422613e-13 relative error 5.453926365060362e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.269982813998233 y[1] (closed_form) -0.14814864362327756 y[1] (numeric) -0.14814864362410976 absolute error 8.321954236834017e-13 relative error 5.617300323042881e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2800751351848008 y[1] (closed_form) -0.1433216140620111 y[1] (numeric) -0.14332161406284163 absolute error 8.30530089146464e-13 relative error 5.794869773006587e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2901674563713685 y[1] (closed_form) -0.1384799866092563 y[1] (numeric) -0.13847998661008518 absolute error 8.288647546095262e-13 relative error 5.985447969086698e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3000618889072193 y[1] (closed_form) -0.13371959727459792 y[1] (numeric) -0.13371959727542515 absolute error 8.272271756482041e-13 relative error 6.18628228403548e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.310154210093787 y[1] (closed_form) -0.12885051699766117 y[1] (numeric) -0.12885051699848665 absolute error 8.254785743844195e-13 relative error 6.406482438866762e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3200486426296378 y[1] (closed_form) -0.12406416525447364 y[1] (numeric) -0.1240641652552974 absolute error 8.237577286962505e-13 relative error 6.639771661757476e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3301409638162056 y[1] (closed_form) -0.11916957714168414 y[1] (numeric) -0.11916957714250623 absolute error 8.220923941593128e-13 relative error 6.898508947312144e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3400353963520564 y[1] (closed_form) -0.11435917493180249 y[1] (numeric) -0.11435917493262289 absolute error 8.203993040467594e-13 relative error 7.173882677415261e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3501277175386242 y[1] (closed_form) -0.10944103416077366 y[1] (numeric) -0.10944103416159243 absolute error 8.187617250854373e-13 relative error 7.4813047168637e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.360022150074475 y[1] (closed_form) -0.10460850303316094 y[1] (numeric) -0.10460850303397805 absolute error 8.171102683363074e-13 relative error 7.811126673682378e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3701144712610427 y[1] (closed_form) -0.09966877418978107 y[1] (numeric) -0.09966877419059643 absolute error 8.153616670725228e-13 relative error 8.180713304650244e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3800089037968934 y[1] (closed_form) -0.09481604453295189 y[1] (numeric) -0.09481604453376558 absolute error 8.136824547477772e-13 relative error 8.581695838039248e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3901012249834612 y[1] (closed_form) -0.08985670082661644 y[1] (numeric) -0.08985670082742839 absolute error 8.119477312718004e-13 relative error 9.036028741345615e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.399995657519312 y[1] (closed_form) -0.08498571109752993 y[1] (numeric) -0.0849857110983402 absolute error 8.102685189470549e-13 relative error 9.53417355085948e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4100879787058798 y[1] (closed_form) -0.08000873357292916 y[1] (numeric) -0.08000873357373772 absolute error 8.085615510466937e-13 relative error 1.0105916128639603e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4199824112417305 y[1] (closed_form) -0.07512142952265859 y[1] (numeric) -0.07512142952346545 absolute error 8.068684609341403e-13 relative error 1.0740856052143785e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4300747324282983 y[1] (closed_form) -0.0701288062684354 y[1] (numeric) -0.07012880626924049 absolute error 8.050921040947401e-13 relative error 1.1480191192946452e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.440167053614866 y[1] (closed_form) -0.06512904010899996 y[1] (numeric) -0.06512904010980335 absolute error 8.033851361943789e-13 relative error 1.233528292217778e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4500614861507168 y[1] (closed_form) -0.06022086551951818 y[1] (numeric) -0.06022086552031985 absolute error 8.016712294001138e-13 relative error 1.331218378354732e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4601538073372846 y[1] (closed_form) -0.05520845713311331 y[1] (numeric) -0.05520845713391324 absolute error 7.999295670302331e-13 relative error 1.4489257779863691e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4700482398731354 y[1] (closed_form) -0.05028886912272771 y[1] (numeric) -0.050288869123525974 absolute error 7.982642324932954e-13 relative error 1.5873576925048117e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4801405610597032 y[1] (closed_form) -0.04526582075110301 y[1] (numeric) -0.04526582075189955 absolute error 7.965364479112225e-13 relative error 1.7596863034717269e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09015983153824911 Order of pole (three term test) 32.991825955734406 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490034993595554 y[1] (closed_form) -0.04033678448381179 y[1] (numeric) -0.040336784484606654 absolute error 7.948641744803808e-13 relative error 1.9705690095336696e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5001273147821217 y[1] (closed_form) -0.035305102618933736 y[1] (numeric) -0.03530510261972688 absolute error 7.931433287922118e-13 relative error 2.24654021644695e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100217473179725 y[1] (closed_form) -0.030368587032907696 y[1] (numeric) -0.030368587033699122 absolute error 7.914259525509948e-13 relative error 2.606067749195568e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5201140685045402 y[1] (closed_form) -0.025330281615452276 y[1] (numeric) -0.02533028161624197 absolute error 7.896946985219699e-13 relative error 3.1175914682299906e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.530008501040391 y[1] (closed_form) -0.020388258636528652 y[1] (numeric) -0.020388258637316636 absolute error 7.879842611746568e-13 relative error 3.864892412944299e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5401008222269588 y[1] (closed_form) -0.015345342252996486 y[1] (numeric) -0.015345342253782727 absolute error 7.862408640813001e-13 relative error 5.123645019567881e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5499952547628095 y[1] (closed_form) -0.010399786006979298 y[1] (numeric) -0.010399786007763838 absolute error 7.845391003513669e-13 relative error 7.543800418824605e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5600875759493773 y[1] (closed_form) -0.005354273085753804 y[1] (numeric) -0.0053542730865366005 absolute error 7.827965706197482e-13 relative error 1.4620034467471353e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.569982008485228 y[1] (closed_form) -0.00040715910983543527 y[1] (numeric) -0.00040715911061652547 absolute error 7.810901990305819e-13 relative error 1.9183905754835777e-07% Desired digits 8 Estimated correct digits 8 Correct digits 9 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5800743296717958 y[1] (closed_form) 0.004638934883494744 y[1] (numeric) 0.004638934882715394 absolute error 7.793505424347202e-13 relative error 1.680020440053248e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5901666508583636 y[1] (closed_form) 0.009684556382369052 y[1] (numeric) 0.00968455638159144 absolute error 7.776123495117915e-13 relative error 8.02940598216199e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000610833942144 y[1] (closed_form) 0.014630289797608638 y[1] (numeric) 0.014630289796832738 absolute error 7.759001774410024e-13 relative error 5.303382148778936e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6101534045807822 y[1] (closed_form) 0.019673459010598943 y[1] (numeric) 0.019673459009824777 absolute error 7.741654539650256e-13 relative error 3.935075441222355e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.039316443741978596 Order of pole (three term test) 32.99849095869739 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.620047837116633 y[1] (closed_form) 0.024615800539663252 y[1] (numeric) 0.02461580053889079 absolute error 7.724619555116163e-13 relative error 3.138073670474191e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6301401583032007 y[1] (closed_form) 0.029654502937391636 y[1] (numeric) 0.029654502936620898 absolute error 7.707376403764954e-13 relative error 2.5990576945556056e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400345908390515 y[1] (closed_form) 0.03459147832722956 y[1] (numeric) 0.034591478326460506 absolute error 7.690514891578459e-13 relative error 2.223239729400254e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6501269120256192 y[1] (closed_form) 0.03962370116461884 y[1] (numeric) 0.03962370116385151 absolute error 7.67323704575773e-13 relative error 1.9365270835954588e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.66002134456147 y[1] (closed_form) 0.04455333830572128 y[1] (numeric) 0.04455333830495567 absolute error 7.65609797781508e-13 relative error 1.7184117439819157e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6701136657480378 y[1] (closed_form) 0.04957707142600019 y[1] (numeric) 0.049577071425236305 absolute error 7.63882013199435e-13 relative error 1.5407969676862053e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800080982838885 y[1] (closed_form) 0.054497401140173075 y[1] (numeric) 0.05449740113941091 absolute error 7.6216810640517e-13 relative error 1.3985402798287445e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6901004194704563 y[1] (closed_form) 0.05951063777784749 y[1] (numeric) 0.05951063777708703 absolute error 7.604611385048088e-13 relative error 1.2778574838058387e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.699994852006307 y[1] (closed_form) 0.06441969460481384 y[1] (numeric) 0.06441969460405507 absolute error 7.587680483922554e-13 relative error 1.177851048575998e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100871731928748 y[1] (closed_form) 0.06942043218728337 y[1] (numeric) 0.06942043218652634 absolute error 7.570333249162786e-13 relative error 1.0905050589053436e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7199816057287256 y[1] (closed_form) 0.0743162551698002 y[1] (numeric) 0.07431625516904483 absolute error 7.553679903793409e-13 relative error 1.0164236460158703e-09% Desired digits 8 Estimated correct digits 11 Correct digits 11 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300739269152934 y[1] (closed_form) 0.07930249611729989 y[1] (numeric) 0.07930249611654623 absolute error 7.536610224789797e-13 relative error 9.503622954871507e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7401662481018612 y[1] (closed_form) 0.08428065978182553 y[1] (numeric) 0.08428065978107362 absolute error 7.519124212151951e-13 relative error 8.921529840436052e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.750060680637712 y[1] (closed_form) 0.08915288210802394 y[1] (numeric) 0.08915288210727372 absolute error 7.502193311026417e-13 relative error 8.414975639190474e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7601530018242797 y[1] (closed_form) 0.0941135540465711 y[1] (numeric) 0.09411355404582263 absolute error 7.484707298388571e-13 relative error 7.952847359993272e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700474343601305 y[1] (closed_form) 0.09896765535355787 y[1] (numeric) 0.09896765535281106 absolute error 7.468053953019194e-13 relative error 7.545954207301243e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7801397555466982 y[1] (closed_form) 0.10390885399086457 y[1] (numeric) 0.10390885399011937 absolute error 7.451955719162129e-13 relative error 7.171627280017243e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.790034188082549 y[1] (closed_form) 0.10874289527376531 y[1] (numeric) 0.10874289527302176 absolute error 7.43544115167083e-13 relative error 6.837633974110915e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8001265092691168 y[1] (closed_form) 0.11366264681331657 y[1] (numeric) 0.11366264681257471 absolute error 7.418649028423374e-13 relative error 6.52690152518445e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100209418049675 y[1] (closed_form) 0.11847469708037449 y[1] (numeric) 0.11847469707963425 absolute error 7.402412016688231e-13 relative error 6.248095330994058e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8201132629915353 y[1] (closed_form) 0.12337103629284926 y[1] (numeric) 0.12337103629211073 absolute error 7.385342337684619e-13 relative error 5.986285403450634e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.830007695527386 y[1] (closed_form) 0.12815917333677332 y[1] (numeric) 0.12815917333603638 absolute error 7.369382881705633e-13 relative error 5.750179788020762e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8401000167139538 y[1] (closed_form) 0.13303014434506907 y[1] (numeric) 0.1330301443443338 absolute error 7.352729536336255e-13 relative error 5.527115356098457e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8499944492498046 y[1] (closed_form) 0.13779245551087327 y[1] (numeric) 0.13779245551013963 absolute error 7.336353746723034e-13 relative error 5.324205682758966e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8600867704363724 y[1] (closed_form) 0.1426361125713949 y[1] (numeric) 0.1426361125706629 absolute error 7.32025551286597e-13 relative error 5.132119335628905e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8699812029722231 y[1] (closed_form) 0.14737069552042176 y[1] (numeric) 0.14737069551969134 absolute error 7.304157279008905e-13 relative error 4.956315944099441e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.880073524158791 y[1] (closed_form) 0.15218510380032252 y[1] (numeric) 0.1521851037995939 absolute error 7.286116154858746e-13 relative error 4.787667105986036e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2899288132500561 Order of pole (three term test) 32.90736106008339 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8901658453453587 y[1] (closed_form) 0.15698401140612078 y[1] (numeric) 0.15698401140539386 absolute error 7.269185253733212e-13 relative error 4.630525866056311e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000602778812095 y[1] (closed_form) 0.16167330362020957 y[1] (numeric) 0.16167330361948437 absolute error 7.251976796851523e-13 relative error 4.4855746956759826e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9101525990677772 y[1] (closed_form) 0.16644007288428486 y[1] (numeric) 0.1664400728835612 absolute error 7.236711230262927e-13 relative error 4.3479380325038365e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.920047031603628 y[1] (closed_form) 0.17109692190296924 y[1] (numeric) 0.17109692190224718 absolute error 7.220612996405862e-13 relative error 4.2201887188249613e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9301393527901958 y[1] (closed_form) 0.17582964870584536 y[1] (numeric) 0.17582964870512494 absolute error 7.204237206792641e-13 relative error 4.0972823751954297e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9400337853260465 y[1] (closed_form) 0.1804521943180635 y[1] (numeric) 0.18045219431734463 absolute error 7.188694084447889e-13 relative error 3.9837110940181516e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9501261065126143 y[1] (closed_form) 0.1851489881387646 y[1] (numeric) 0.18514898813804734 absolute error 7.172595850590824e-13 relative error 3.8739589790332205e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.960020539048465 y[1] (closed_form) 0.18973538383619137 y[1] (numeric) 0.18973538383547572 absolute error 7.156497616733759e-13 relative error 3.771830784558532e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9701128602350328 y[1] (closed_form) 0.19439436850742375 y[1] (numeric) 0.1943943685067098 absolute error 7.139566715608225e-13 relative error 3.6727230168375847e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800072927708836 y[1] (closed_form) 0.19894278222207162 y[1] (numeric) 0.1989427822213592 absolute error 7.12430114901963e-13 relative error 3.581080484270631e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900996139574514 y[1] (closed_form) 0.20356209667967204 y[1] (numeric) 0.2035620966789611 absolute error 7.10931313818719e-13 relative error 3.492454270293009e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9999940464933021 y[1] (closed_form) 0.20807071151572323 y[1] (numeric) 0.20807071151501383 absolute error 7.094047571598594e-13 relative error 3.409440723262255e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.01008636767987 y[1] (closed_form) 0.21264851054207404 y[1] (numeric) 0.21264851054136624 absolute error 7.077949337741529e-13 relative error 3.328473507620034e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0199808002157207 y[1] (closed_form) 0.21711552550165256 y[1] (numeric) 0.21711552550094632 absolute error 7.062406215396777e-13 relative error 3.2528333471679906e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300731214022885 y[1] (closed_form) 0.22164998046276682 y[1] (numeric) 0.22164998046206205 absolute error 7.047695760320494e-13 relative error 3.179650972946681e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0401654425888562 y[1] (closed_form) 0.22616185946850706 y[1] (numeric) 0.22616185946780393 absolute error 7.031319970707273e-13 relative error 3.108976901424168e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4034069613760997 Order of pole (three term test) 32.79539861719336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.050059875124707 y[1] (closed_form) 0.23056291074134178 y[1] (numeric) 0.2305629107406402 absolute error 7.01577684836252e-13 relative error 3.042890474363072e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0601521963112748 y[1] (closed_form) 0.2350287265436149 y[1] (numeric) 0.2350287265429148 absolute error 7.001066393286237e-13 relative error 2.978813056703956e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0700466288471255 y[1] (closed_form) 0.2393837410451725 y[1] (numeric) 0.23938374104447385 absolute error 6.986355938209954e-13 relative error 2.9184755437887514e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0801389500336933 y[1] (closed_form) 0.24380170974247725 y[1] (numeric) 0.2438017097417801 absolute error 6.97164548313367e-13 relative error 2.8595556161183927e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.090033382569544 y[1] (closed_form) 0.2481089478316146 y[1] (numeric) 0.24810894783091894 absolute error 6.956657472301231e-13 relative error 2.8038720622935945e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.100125703756112 y[1] (closed_form) 0.25247730463531204 y[1] (numeric) 0.25247730463461776 absolute error 6.942779684493416e-13 relative error 2.7498628815456643e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1100201362919626 y[1] (closed_form) 0.2567350457555097 y[1] (numeric) 0.2567350457548168 absolute error 6.928901896685602e-13 relative error 2.6988531605786443e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1201124574785304 y[1] (closed_form) 0.26105204569478035 y[1] (numeric) 0.2610520456940891 absolute error 6.912803662828537e-13 relative error 2.6480557332658955e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.130006890014381 y[1] (closed_form) 0.2652585890614308 y[1] (numeric) 0.26525858906074107 absolute error 6.897260540483785e-13 relative error 2.600202528743173e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.140099211200949 y[1] (closed_form) 0.26952250768031555 y[1] (numeric) 0.26952250767962743 absolute error 6.88116230662672e-13 relative error 2.553093753041421e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1499936437367997 y[1] (closed_form) 0.2736761729601138 y[1] (numeric) 0.2736761729594269 absolute error 6.868949853355844e-13 relative error 2.509882310564515e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1600859649233675 y[1] (closed_form) 0.27788530700635994 y[1] (numeric) 0.27788530700567465 absolute error 6.852851619498779e-13 relative error 2.4660719536862513e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699803974592182 y[1] (closed_form) 0.28198443498852427 y[1] (numeric) 0.28198443498784037 absolute error 6.838973831690964e-13 relative error 2.4253018901448534e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4657232611354401 Order of pole (three term test) 32.68196556791731 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.180072718645786 y[1] (closed_form) 0.28613710309396156 y[1] (numeric) 0.2861371030932792 absolute error 6.823430709346212e-13 relative error 2.3846717659350656e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1901650398323538 y[1] (closed_form) 0.29026062696732274 y[1] (numeric) 0.29026062696664184 absolute error 6.808997810026085e-13 relative error 2.3458220569449245e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2000594723682045 y[1] (closed_form) 0.2942745997051921 y[1] (numeric) 0.2942745997045126 absolute error 6.795120022218271e-13 relative error 2.30910857716762e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2101517935547723 y[1] (closed_form) 0.2983391699880406 y[1] (numeric) 0.29833916998736243 absolute error 6.781797345922769e-13 relative error 2.2731836876111934e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.220046226090623 y[1] (closed_form) 0.302294546259852 y[1] (numeric) 0.302294546259175 absolute error 6.770140004164205e-13 relative error 2.2395839051441572e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.230138547277191 y[1] (closed_form) 0.3062985393310288 y[1] (numeric) 0.3062985393303529 absolute error 6.759037773917953e-13 relative error 2.2066829925732023e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2400329798130416 y[1] (closed_form) 0.310193739133938 y[1] (numeric) 0.3101937391332633 absolute error 6.746825320647076e-13 relative error 2.1750359434991293e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2501253009996094 y[1] (closed_form) 0.3141355555702767 y[1] (numeric) 0.3141355555696036 absolute error 6.731282198302324e-13 relative error 2.1427953884693062e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.26001973353546 y[1] (closed_form) 0.3179690229393529 y[1] (numeric) 0.3179690229386813 absolute error 6.716294187469884e-13 relative error 2.112247955912014e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.270112054722028 y[1] (closed_form) 0.3218470881545809 y[1] (numeric) 0.3218470881539106 absolute error 6.702971511174383e-13 relative error 2.0826571865565527e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2800064872578787 y[1] (closed_form) 0.32561729178434773 y[1] (numeric) 0.3256172917836789 absolute error 6.688538611854256e-13 relative error 2.054110386829208e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2900988084444465 y[1] (closed_form) 0.3294300566580656 y[1] (numeric) 0.329430056657398 absolute error 6.675771047071066e-13 relative error 2.0264608259471096e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2999932409802972 y[1] (closed_form) 0.3331354905141917 y[1] (numeric) 0.3331354905135252 absolute error 6.665223928337127e-13 relative error 2.0007546833420277e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4968450408332347 Order of pole (three term test) 32.556086519114686 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.310085562166865 y[1] (closed_form) 0.33688143201068027 y[1] (numeric) 0.3368814320100149 absolute error 6.653566586578563e-13 relative error 1.9750469911228656e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.320177883353433 y[1] (closed_form) 0.34059306075803386 y[1] (numeric) 0.3405930607573697 absolute error 6.641354133307686e-13 relative error 1.9499381809266737e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3300723158892835 y[1] (closed_form) 0.3441982377081834 y[1] (numeric) 0.34419823770752056 absolute error 6.628586568524497e-13 relative error 1.9258049119194837e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3401646370758513 y[1] (closed_form) 0.34784080148912566 y[1] (numeric) 0.34784080148846397 absolute error 6.616929226765933e-13 relative error 1.902286677824595e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.350059069611702 y[1] (closed_form) 0.3513775510011276 y[1] (numeric) 0.35137755100046725 absolute error 6.603606550470431e-13 relative error 1.8793478785584795e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.36015139079827 y[1] (closed_form) 0.3549495947679618 y[1] (numeric) 0.3549495947673024 absolute error 6.593614543248805e-13 relative error 1.857619966451629e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3700458233341206 y[1] (closed_form) 0.35841650406237263 y[1] (numeric) 0.35841650406171466 absolute error 6.57973675544099e-13 relative error 1.8357795137402394e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3801381445206884 y[1] (closed_form) 0.36191660093711714 y[1] (numeric) 0.36191660093646044 absolute error 6.566969190657801e-13 relative error 1.814497918485593e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.390032577056539 y[1] (closed_form) 0.365312285132659 y[1] (numeric) 0.3653122851320036 absolute error 6.554201625874612e-13 relative error 1.7941366585836356e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.400124898243107 y[1] (closed_form) 0.36873903697702376 y[1] (numeric) 0.3687390369763696 absolute error 6.541434061091422e-13 relative error 1.7740009614167922e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4100193307789577 y[1] (closed_form) 0.372062139643785 y[1] (numeric) 0.37206213964313184 absolute error 6.531442053869796e-13 relative error 1.7554707555364398e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4201116519655255 y[1] (closed_form) 0.3754141776176678 y[1] (numeric) 0.37541417761701573 absolute error 6.520894935135857e-13 relative error 1.7369868598241692e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4300060845013762 y[1] (closed_form) 0.3786633713189384 y[1] (numeric) 0.37866337131828753 absolute error 6.50868248186498e-13 relative error 1.718857163077145e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.440098405687944 y[1] (closed_form) 0.38193935642721755 y[1] (numeric) 0.3819393564265679 absolute error 6.496470028594103e-13 relative error 1.7009166296356977e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499928382237948 y[1] (closed_form) 0.38511334324974306 y[1] (numeric) 0.3851133432490945 absolute error 6.485367798347852e-13 relative error 1.684015345617911e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4600851594103625 y[1] (closed_form) 0.3883119668771483 y[1] (numeric) 0.38831196687650094 absolute error 6.473710456589288e-13 relative error 1.667141630646011e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4701774805969303 y[1] (closed_form) 0.39147103934548233 y[1] (numeric) 0.3914710393448362 absolute error 6.461498003318411e-13 relative error 1.6505685871735683e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.480071913132781 y[1] (closed_form) 0.39452946338343875 y[1] (numeric) 0.39452946338279354 absolute error 6.452061107609097e-13 relative error 1.635381310251704e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.490164234319349 y[1] (closed_form) 0.39760926338081437 y[1] (numeric) 0.3976092633801704 absolute error 6.439848654338221e-13 relative error 1.619642510232562e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5000586668551996 y[1] (closed_form) 0.40058936232342235 y[1] (numeric) 0.4005893623227794 absolute error 6.429301535604282e-13 relative error 1.6049606255928184e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5101509880417674 y[1] (closed_form) 0.4035886596020904 y[1] (numeric) 0.4035886596014485 absolute error 6.418754416870343e-13 relative error 1.5904199149695573e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.520045420577618 y[1] (closed_form) 0.40648924302788764 y[1] (numeric) 0.4064892430272468 absolute error 6.408207298136404e-13 relative error 1.576476477065535e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.530137741764186 y[1] (closed_form) 0.4094068394974756 y[1] (numeric) 0.4094068394968357 absolute error 6.39877040242709e-13 relative error 1.5629368601367845e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5400321743000367 y[1] (closed_form) 0.4122267487480317 y[1] (numeric) 0.412226748747393 absolute error 6.387113060668526e-13 relative error 1.5494174213747023e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5501244954866045 y[1] (closed_form) 0.4150614789541293 y[1] (numeric) 0.41506147895349166 absolute error 6.376565941934587e-13 relative error 1.5362943239161194e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5600189280224552 y[1] (closed_form) 0.4177995875968802 y[1] (numeric) 0.4177995875962434 absolute error 6.367684157737585e-13 relative error 1.5241001539430755e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.570111249209023 y[1] (closed_form) 0.4205503191865884 y[1] (numeric) 0.4205503191859525 absolute error 6.359357485052897e-13 relative error 1.5121513871046183e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5800056817448738 y[1] (closed_form) 0.42320553346479733 y[1] (numeric) 0.4232055334641621 absolute error 6.352141035392833e-13 relative error 1.500958880047633e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4507393019135671 Order of pole (three term test) 32.28361626082014 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5900980029314415 y[1] (closed_form) 0.4258711676390547 y[1] (numeric) 0.42587116763842026 absolute error 6.344369474220457e-13 relative error 1.4897391409219797e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999924354672923 y[1] (closed_form) 0.42844242690872136 y[1] (numeric) 0.428442426908088 absolute error 6.333822355486518e-13 relative error 1.478336868079576e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.61008475665386 y[1] (closed_form) 0.4310218988612269 y[1] (numeric) 0.4310218988605944 absolute error 6.324940571289517e-13 relative error 1.4674290536049802e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.620177077840428 y[1] (closed_form) 0.43355746947372964 y[1] (numeric) 0.4335574694730978 absolute error 6.318279233141766e-13 relative error 1.457310663061845e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6300715103762786 y[1] (closed_form) 0.4360004553573268 y[1] (numeric) 0.4360004553566958 absolute error 6.309952560457077e-13 relative error 1.4472353143039078e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6401638315628464 y[1] (closed_form) 0.438448326273578 y[1] (numeric) 0.43844832627294783 absolute error 6.301625887772389e-13 relative error 1.4372562307012599e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.650058264098697 y[1] (closed_form) 0.4408048484079802 y[1] (numeric) 0.44080484840735085 absolute error 6.2932992150877e-13 relative error 1.427683755706569e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4161017973078602 Order of pole (three term test) 32.22279195464935 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.660150585285265 y[1] (closed_form) 0.44316404180874247 y[1] (numeric) 0.44316404180811403 absolute error 6.284417430890699e-13 relative error 1.4180792749432685e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41042136448761746 Order of pole (three term test) 32.21445118560775 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6700450178211157 y[1] (closed_form) 0.4454331588646249 y[1] (numeric) 0.4454331588639973 absolute error 6.27609075820601e-13 relative error 1.408985979895005e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6801373390076835 y[1] (closed_form) 0.4477027323535175 y[1] (numeric) 0.44770273235289065 absolute error 6.268319197033634e-13 relative error 1.4001074248713785e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6900317715435342 y[1] (closed_form) 0.4498835379161284 y[1] (numeric) 0.4498835379155024 absolute error 6.259992524348945e-13 relative error 1.391469568623334e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.700124092730102 y[1] (closed_form) 0.452062584896074 y[1] (numeric) 0.4520625848954487 absolute error 6.252776074688882e-13 relative error 1.3831660224936224e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7100185252659528 y[1] (closed_form) 0.45415420782730787 y[1] (numeric) 0.4541542078266833 absolute error 6.245559625028818e-13 relative error 1.3752068168448398e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7201108464525205 y[1] (closed_form) 0.45624185786267923 y[1] (numeric) 0.45624185786205534 absolute error 6.238898286881067e-13 relative error 1.3674541647949508e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7300052789883713 y[1] (closed_form) 0.4582434626490595 y[1] (numeric) 0.4582434626484363 absolute error 6.232236948733316e-13 relative error 1.360027465030353e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.740097600174939 y[1] (closed_form) 0.4602388818133812 y[1] (numeric) 0.4602388818127585 absolute error 6.22668583361019e-13 relative error 1.3529247700838545e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.74999203271079 y[1] (closed_form) 0.4621496688998117 y[1] (numeric) 0.4621496688991897 absolute error 6.22002449546244e-13 relative error 1.3458896357688106e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7600843538973576 y[1] (closed_form) 0.4640520601088777 y[1] (numeric) 0.4640520601082562 absolute error 6.214473380339314e-13 relative error 1.339175906013918e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7701766750839254 y[1] (closed_form) 0.46590718572117545 y[1] (numeric) 0.4659071857205548 absolute error 6.206701819166938e-13 relative error 1.3321755940637864e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.780071107619776 y[1] (closed_form) 0.46767986954830526 y[1] (numeric) 0.46767986954768515 absolute error 6.201150704043812e-13 relative error 1.3259391964065097e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.790163428806344 y[1] (closed_form) 0.4694408377746102 y[1] (numeric) 0.4694408377739906 absolute error 6.196154700432999e-13 relative error 1.3199010827021234e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8000578613421947 y[1] (closed_form) 0.47112086097769257 y[1] (numeric) 0.47112086097707356 absolute error 6.19004847379756e-13 relative error 1.3138981918464988e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8101501825287625 y[1] (closed_form) 0.47278696838687323 y[1] (numeric) 0.4727869683862548 absolute error 6.184497358674435e-13 relative error 1.3080938714905037e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8200446150646132 y[1] (closed_form) 0.47437365986883506 y[1] (numeric) 0.47437365986821733 absolute error 6.177280909014371e-13 relative error 1.3021972827754385e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.830136936251181 y[1] (closed_form) 0.47594424092258 y[1] (numeric) 0.4759442409219627 absolute error 6.17284001691587e-13 relative error 1.2969670575171393e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8400313687870318 y[1] (closed_form) 0.4774369668683599 y[1] (numeric) 0.47743696686774323 absolute error 6.166733790280432e-13 relative error 1.2916330779180613e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8501236899735996 y[1] (closed_form) 0.47891139418703144 y[1] (numeric) 0.4789113941864153 absolute error 6.161182675157306e-13 relative error 1.2864974084853683e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8600181225094503 y[1] (closed_form) 0.48030955831676186 y[1] (numeric) 0.480309558316146 absolute error 6.158407117595743e-13 relative error 1.2821745915650305e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.870110443696018 y[1] (closed_form) 0.48168724293000753 y[1] (numeric) 0.48168724292939225 absolute error 6.152856002472618e-13 relative error 1.2773549835046535e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2583380183059139 Order of pole (three term test) 32.07193158953722 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.880004876231869 y[1] (closed_form) 0.48299028673720257 y[1] (numeric) 0.4829902867365879 absolute error 6.146749775837179e-13 relative error 1.2726445944412245e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8900971974184366 y[1] (closed_form) 0.4842706783192233 y[1] (numeric) 0.48427067831860904 absolute error 6.142863995250991e-13 relative error 1.2684773764480772e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8999916299542874 y[1] (closed_form) 0.48547808129387837 y[1] (numeric) 0.4854780812932645 absolute error 6.138978214664803e-13 relative error 1.264522220715593e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.910083951140855 y[1] (closed_form) 0.4866606683832601 y[1] (numeric) 0.48666066838264654 absolute error 6.135647545590928e-13 relative error 1.2607650349008517e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.920176272327423 y[1] (closed_form) 0.4877936870968236 y[1] (numeric) 0.4877936870962105 absolute error 6.130651541980114e-13 relative error 1.256812399206639e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9300707048632737 y[1] (closed_form) 0.4888562584237936 y[1] (numeric) 0.488856258423181 absolute error 6.126210649881614e-13 relative error 1.2531721839123414e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9401630260498415 y[1] (closed_form) 0.48989077662218683 y[1] (numeric) 0.48989077662157443 absolute error 6.123990203832363e-13 relative error 1.2500725663907125e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9500574585856922 y[1] (closed_form) 0.4908565713969548 y[1] (numeric) 0.4908565713963427 absolute error 6.121214646270801e-13 relative error 1.2470475089800897e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.96014977977226 y[1] (closed_form) 0.49179217583461443 y[1] (numeric) 0.49179217583400264 absolute error 6.117883977196925e-13 relative error 1.2439978262798386e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9700442123081108 y[1] (closed_form) 0.49266080826367137 y[1] (numeric) 0.4926608082630599 absolute error 6.11455330812305e-13 relative error 1.2411284205198132e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9801365334946786 y[1] (closed_form) 0.49349712520683076 y[1] (numeric) 0.49349712520621963 absolute error 6.111222639049174e-13 relative error 1.2383502004166457e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9900309660305293 y[1] (closed_form) 0.49426824830884947 y[1] (numeric) 0.4942682483082387 absolute error 6.107891969975299e-13 relative error 1.2357443535718905e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.000123287217097 y[1] (closed_form) 0.4950049436848293 y[1] (numeric) 0.49500494368421855 absolute error 6.107336858462986e-13 relative error 1.2337931037617152e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.010017719752948 y[1] (closed_form) 0.49567824942926836 y[1] (numeric) 0.4956782494286578 absolute error 6.105671523926048e-13 relative error 1.2317812070544176e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0201100409395156 y[1] (closed_form) 0.4963150289599243 y[1] (numeric) 0.496315028959314 absolute error 6.102895966364486e-13 relative error 1.2296415805005318e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0300044734753664 y[1] (closed_form) 0.4968902483900731 y[1] (numeric) 0.49689024838946283 absolute error 6.102895966364486e-13 relative error 1.2282180996986555e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.040096794661934 y[1] (closed_form) 0.49742685770934736 y[1] (numeric) 0.4974268577087373 absolute error 6.100675520315235e-13 relative error 1.226446748052341e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.049991227197785 y[1] (closed_form) 0.49790376104976275 y[1] (numeric) 0.4979037610491529 absolute error 6.098455074265985e-13 relative error 1.224826071088159e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0600835483843527 y[1] (closed_form) 0.4983399858052922 y[1] (numeric) 0.4983399858046827 absolute error 6.095124405192109e-13 relative error 1.2230855598197075e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0701758695709205 y[1] (closed_form) 0.49872545259884427 y[1] (numeric) 0.4987254525982347 absolute error 6.095679516704422e-13 relative error 1.2222515383844975e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0800703021067712 y[1] (closed_form) 0.49905404849232493 y[1] (numeric) 0.4990540484917153 absolute error 6.096234628216735e-13 relative error 1.2215579948973182e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.090162623293339 y[1] (closed_form) 0.4993388837388887 y[1] (numeric) 0.4993388837382791 absolute error 6.095679516704422e-13 relative error 1.220750018717136e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.10005705582919 y[1] (closed_form) 0.49956876053308774 y[1] (numeric) 0.49956876053247806 absolute error 6.096789739729047e-13 relative error 1.2204105263153742e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1101493770157576 y[1] (closed_form) 0.4997528504532226 y[1] (numeric) 0.499752850452613 absolute error 6.096234628216735e-13 relative error 1.2198498963413814e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1200438095516083 y[1] (closed_form) 0.49988391632223933 y[1] (numeric) 0.49988391632162965 absolute error 6.096789739729047e-13 relative error 1.2196411087967238e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.130136130738176 y[1] (closed_form) 0.49996718737993323 y[1] (numeric) 0.4999671873793236 absolute error 6.096234628216735e-13 relative error 1.2193269442668657e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.140030563274027 y[1] (closed_form) 0.4999993899685854 y[1] (numeric) 0.49999938996797577 absolute error 6.096234628216735e-13 relative error 1.2192484132030155e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00019788865071708342 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 3.149990095654971 y[1] (closed_form) 0.4999823708452872 y[1] (numeric) 0.4999823708446777 absolute error 6.094569293679797e-13 relative error 1.2189568370932982e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.160020375372506 y[1] (closed_form) 0.4999151071698477 y[1] (numeric) 0.49991510716923854 absolute error 6.091793736118234e-13 relative error 1.2185656421958315e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1700506550900407 y[1] (closed_form) 0.499797549201237 y[1] (numeric) 0.4997975492006278 absolute error 6.091793736118234e-13 relative error 1.2188522624518618e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1800809348075756 y[1] (closed_form) 0.49962970876645285 y[1] (numeric) 0.4996297087658439 absolute error 6.089573290068984e-13 relative error 1.2188172927313848e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1899945833656043 y[1] (closed_form) 0.4994144276325363 y[1] (numeric) 0.49941442763192756 absolute error 6.087352844019733e-13 relative error 1.21889807486674e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.200024863083139 y[1] (closed_form) 0.4991466620625063 y[1] (numeric) 0.49914666206189784 absolute error 6.08457728645817e-13 relative error 1.2189958881656753e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.210055142800674 y[1] (closed_form) 0.4988286795092382 y[1] (numeric) 0.49882867950863014 absolute error 6.080691505871982e-13 relative error 1.2189939663963064e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.220085422518209 y[1] (closed_form) 0.49846051196357904 y[1] (numeric) 0.4984605119629714 absolute error 6.076250613773482e-13 relative error 1.2190034050716248e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2299990710762376 y[1] (closed_form) 0.4980473486112 y[1] (numeric) 0.49804734861059285 absolute error 6.071254610162669e-13 relative error 1.2190115311510645e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2400293507937725 y[1] (closed_form) 0.49757950961048336 y[1] (numeric) 0.49757950960987696 absolute error 6.064038160502605e-13 relative error 1.2187073710590843e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2500596305113074 y[1] (closed_form) 0.49706161129094745 y[1] (numeric) 0.49706161129034176 absolute error 6.056821710842542e-13 relative error 1.2185253443958425e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2600899102288423 y[1] (closed_form) 0.4964937057560986 y[1] (numeric) 0.49649370575549334 absolute error 6.052380818744041e-13 relative error 1.2190246822015623e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.270003558786871 y[1] (closed_form) 0.49588332130678536 y[1] (numeric) 0.4958833213061812 absolute error 6.041833700010102e-13 relative error 1.2183982482186036e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.280033838504406 y[1] (closed_form) 0.49521615748590964 y[1] (numeric) 0.4952161574853061 absolute error 6.035172361862351e-13 relative error 1.2186945580494451e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.290064118221941 y[1] (closed_form) 0.4944991721128333 y[1] (numeric) 0.4944991721122307 absolute error 6.025735466153037e-13 relative error 1.2185531960361106e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3000943979394757 y[1] (closed_form) 0.4937324373203485 y[1] (numeric) 0.4937324373197468 absolute error 6.016853681956036e-13 relative error 1.2186466245992503e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3100080464975044 y[1] (closed_form) 0.49292580847810374 y[1] (numeric) 0.49292580847750345 absolute error 6.002975894148221e-13 relative error 1.2178254396300046e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3200383262150392 y[1] (closed_form) 0.49206038739633423 y[1] (numeric) 0.4920603873957353 absolute error 5.989098106340407e-13 relative error 1.217146972149261e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.330068605932574 y[1] (closed_form) 0.49114546225072114 y[1] (numeric) 0.49114546225012373 absolute error 5.974110095507967e-13 relative error 1.2163626775927105e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.340098885650109 y[1] (closed_form) 0.4901811250879198 y[1] (numeric) 0.4901811250873236 absolute error 5.961897642237091e-13 relative error 1.2162642209382814e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3500125342081377 y[1] (closed_form) 0.4891795425763518 y[1] (numeric) 0.4891795425757571 absolute error 5.947464742916964e-13 relative error 1.2158040607327062e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3600428139256726 y[1] (closed_form) 0.4881172490334414 y[1] (numeric) 0.4881172490328484 absolute error 5.929701174522961e-13 relative error 1.214810823888076e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3700730936432075 y[1] (closed_form) 0.48700584812875536 y[1] (numeric) 0.48700584812816394 absolute error 5.914158052178209e-13 relative error 1.2143915878838922e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3801033733607424 y[1] (closed_form) 0.48584545167552395 y[1] (numeric) 0.4858454516749342 absolute error 5.897504706808832e-13 relative error 1.2138643444062805e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.390017021918771 y[1] (closed_form) 0.48465051817250104 y[1] (numeric) 0.484650518171913 absolute error 5.880296249927142e-13 relative error 1.213306502198802e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.400047301636306 y[1] (closed_form) 0.4833930519928087 y[1] (numeric) 0.48339305199222254 absolute error 5.861422458508514e-13 relative error 1.212558276198747e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.410077581353841 y[1] (closed_form) 0.4820869537323386 y[1] (numeric) 0.4820869537317543 absolute error 5.843103778602199e-13 relative error 1.212043539731708e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4199912299118695 y[1] (closed_form) 0.4807483841299508 y[1] (numeric) 0.4807483841293686 absolute error 5.822009541134321e-13 relative error 1.2110304960610284e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4300215096294044 y[1] (closed_form) 0.47934598236511083 y[1] (numeric) 0.47934598236453074 absolute error 5.800915303666443e-13 relative error 1.2101729266707342e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4400517893469393 y[1] (closed_form) 0.47789535567763547 y[1] (numeric) 0.4778953556770573 absolute error 5.781486400735503e-13 relative error 1.2097808300600868e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4500820690644742 y[1] (closed_form) 0.4763966500087912 y[1] (numeric) 0.47639665000821524 absolute error 5.759837051755312e-13 relative error 1.2090423078434792e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.459995717622503 y[1] (closed_form) 0.4748682750758652 y[1] (numeric) 0.4748682750752914 absolute error 5.738187702775122e-13 relative error 1.2083746175417564e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.470025997340038 y[1] (closed_form) 0.47327442318391577 y[1] (numeric) 0.4732744231833442 absolute error 5.715983242282618e-13 relative error 1.207752407964242e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4800562770575727 y[1] (closed_form) 0.47163295720259657 y[1] (numeric) 0.47163295720202747 absolute error 5.691003224228552e-13 relative error 1.2066593602753469e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4900865567751076 y[1] (closed_form) 0.4699440422726887 y[1] (numeric) 0.46994404227212183 absolute error 5.668798763736049e-13 relative error 1.2062710139533345e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5000002053331363 y[1] (closed_form) 0.46822830763167816 y[1] (numeric) 0.4682283076311135 absolute error 5.646594303243546e-13 relative error 1.2059489379880294e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.510030485050671 y[1] (closed_form) 0.4664455560077419 y[1] (numeric) 0.46644555600717985 absolute error 5.620504062164855e-13 relative error 1.2049646501662818e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.520060764768206 y[1] (closed_form) 0.46461587731717807 y[1] (numeric) 0.4646158773166189 absolute error 5.591638263524601e-13 relative error 1.203497025502504e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.530091044485741 y[1] (closed_form) 0.462739455636033 y[1] (numeric) 0.46273945563547647 absolute error 5.56554802244591e-13 relative error 1.2027390261753435e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5400046930437696 y[1] (closed_form) 0.46083910671220757 y[1] (numeric) 0.4608391067116537 absolute error 5.538902669854906e-13 relative error 1.2019168054923628e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5500349727613045 y[1] (closed_form) 0.45887030801848583 y[1] (numeric) 0.4588703080179349 absolute error 5.509481759702339e-13 relative error 1.200662074539891e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5600652524788394 y[1] (closed_form) 0.45685534437101877 y[1] (numeric) 0.4568553443704707 absolute error 5.480615961062085e-13 relative error 1.199639235611349e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5700955321963743 y[1] (closed_form) 0.45479441848656965 y[1] (numeric) 0.4547944184860244 absolute error 5.452305273934144e-13 relative error 1.1988505250521568e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.580009180754403 y[1] (closed_form) 0.45271249611493486 y[1] (numeric) 0.45271249611439257 absolute error 5.422884363781577e-13 relative error 1.1978649607243915e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.590039460471938 y[1] (closed_form) 0.45056080071603266 y[1] (numeric) 0.4505608007154936 absolute error 5.390687896067448e-13 relative error 1.196439612034724e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.600069740189473 y[1] (closed_form) 0.4483637763469159 y[1] (numeric) 0.4483637763463797 absolute error 5.361822097427194e-13 relative error 1.195864246909757e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6101000199070077 y[1] (closed_form) 0.44612164404068827 y[1] (numeric) 0.4461216440401551 absolute error 5.331846075762314e-13 relative error 1.1951552109128394e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6200136684650364 y[1] (closed_form) 0.44386147960020683 y[1] (numeric) 0.4438614795996771 absolute error 5.297429161998934e-13 relative error 1.193487023647651e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6300439481825713 y[1] (closed_form) 0.4415303305220908 y[1] (numeric) 0.4415303305215644 absolute error 5.26412247126018e-13 relative error 1.1922448147640456e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.640074227900106 y[1] (closed_form) 0.43915476099024403 y[1] (numeric) 0.43915476098972084 absolute error 5.23192600354605e-13 relative error 1.191362696774288e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.650104507617641 y[1] (closed_form) 0.43673501000042564 y[1] (numeric) 0.4367350099999056 absolute error 5.200284647344233e-13 relative error 1.1907185199874782e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6600181561756697 y[1] (closed_form) 0.43430022008332586 y[1] (numeric) 0.43430022008280905 absolute error 5.168088179630104e-13 relative error 1.1899805573753894e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6700484358932046 y[1] (closed_form) 0.4317933475039812 y[1] (numeric) 0.4317933475034676 absolute error 5.135891711915974e-13 relative error 1.1894328019652088e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6800787156107395 y[1] (closed_form) 0.42924303406658415 y[1] (numeric) 0.4292430340660742 absolute error 5.099254352103344e-13 relative error 1.1879643808762073e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.689992364168768 y[1] (closed_form) 0.4266799404597405 y[1] (numeric) 0.42667994045923424 absolute error 5.062616992290714e-13 relative error 1.1865139445824026e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.700022643886303 y[1] (closed_form) 0.4240440169718227 y[1] (numeric) 0.4240440169713202 absolute error 5.024869409453459e-13 relative error 1.1849876919233496e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.710052923603838 y[1] (closed_form) 0.42136543225242534 y[1] (numeric) 0.4213654322519267 absolute error 4.986566715103891e-13 relative error 1.183430422483402e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.720083203321373 y[1] (closed_form) 0.41864445578235265 y[1] (numeric) 0.4186444557818579 absolute error 4.94770890924201e-13 relative error 1.181840304082339e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7299968518794016 y[1] (closed_form) 0.4159137312828878 y[1] (numeric) 0.4159137312823967 absolute error 4.910516437917067e-13 relative error 1.180657446141669e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7400271315969364 y[1] (closed_form) 0.41310928168417677 y[1] (numeric) 0.41310928168368954 absolute error 4.872213743567499e-13 relative error 1.1794006960347894e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7500574113144713 y[1] (closed_form) 0.4102632709503314 y[1] (numeric) 0.41026327094984844 absolute error 4.829470157119431e-13 relative error 1.177163665158832e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7600876910320062 y[1] (closed_form) 0.4073759854061619 y[1] (numeric) 0.40737598540568315 absolute error 4.787281682183675e-13 relative error 1.1751506847932288e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.770001339590035 y[1] (closed_form) 0.404481999570921 y[1] (numeric) 0.40448199957044634 absolute error 4.746758541784857e-13 relative error 1.17354011966423e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.78003161930757 y[1] (closed_form) 0.4015135113891567 y[1] (numeric) 0.401513511388686 absolute error 4.706790512898351e-13 relative error 1.1722620483215608e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7900618990251047 y[1] (closed_form) 0.39850462867247144 y[1] (numeric) 0.39850462867200503 absolute error 4.664046926450283e-13 relative error 1.1703871400408838e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8000921787426396 y[1] (closed_form) 0.39545565413152023 y[1] (numeric) 0.3954556541310582 absolute error 4.620193116977589e-13 relative error 1.168321420798553e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8100058273006683 y[1] (closed_form) 0.39240303775926 y[1] (numeric) 0.39240303775880253 absolute error 4.574673972967958e-13 relative error 1.165810030190064e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.820036107018203 y[1] (closed_form) 0.38927526100780224 y[1] (numeric) 0.3892752610073488 absolute error 4.5341508325691393e-13 relative error 1.1647672705505582e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.830066386735738 y[1] (closed_form) 0.38610832095877523 y[1] (numeric) 0.38610832095832615 absolute error 4.490852134608758e-13 relative error 1.163106799526407e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.840096666453273 y[1] (closed_form) 0.3829025362242973 y[1] (numeric) 0.3829025362238527 absolute error 4.446443213623752e-13 relative error 1.161246738522282e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8500103150113016 y[1] (closed_form) 0.37969617394573313 y[1] (numeric) 0.379696173945293 absolute error 4.401479181126433e-13 relative error 1.1592108330687316e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8600405947288365 y[1] (closed_form) 0.376414113522849 y[1] (numeric) 0.3764141135224134 absolute error 4.3559600371168017e-13 relative error 1.1572254813586811e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8700708744463714 y[1] (closed_form) 0.3730941837067262 y[1] (numeric) 0.37309418370629527 absolute error 4.309330670082545e-13 relative error 1.1550248860137499e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8801011541639063 y[1] (closed_form) 0.36973671850112083 y[1] (numeric) 0.3697367185006949 absolute error 4.259370633974413e-13 relative error 1.1520009836300586e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.890014802721935 y[1] (closed_form) 0.36638174096280657 y[1] (numeric) 0.3663817409623853 absolute error 4.2127412669401565e-13 relative error 1.149822929458653e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.90004508243947 y[1] (closed_form) 0.3629506486431039 y[1] (numeric) 0.36295064864268745 absolute error 4.164446565368962e-13 relative error 1.147386450730369e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.910075362157005 y[1] (closed_form) 0.359483041431037 y[1] (numeric) 0.3594830414306255 absolute error 4.1150416407731427e-13 relative error 1.1447109227717407e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9199890107150335 y[1] (closed_form) 0.35602021622048546 y[1] (numeric) 0.35602021622007884 absolute error 4.066191827689636e-13 relative error 1.1421238577000973e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9300192904325684 y[1] (closed_form) 0.3524810438420913 y[1] (numeric) 0.35248104384168943 absolute error 4.018452237630754e-13 relative error 1.1400477579812742e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9400495701501033 y[1] (closed_form) 0.3489064098729148 y[1] (numeric) 0.348906409872518 absolute error 3.968492201522622e-13 relative error 1.1374087976681483e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.950079849867638 y[1] (closed_form) 0.3452966739413935 y[1] (numeric) 0.3452966739410017 absolute error 3.9179770539021774e-13 relative error 1.1346697925526984e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.959993498425667 y[1] (closed_form) 0.34169477504879664 y[1] (numeric) 0.3416947750484097 absolute error 3.8691272408186705e-13 relative error 1.132334329743886e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9700237781432017 y[1] (closed_form) 0.33801632572318996 y[1] (numeric) 0.3380163257228085 absolute error 3.814726312612038e-13 relative error 1.1285627415925505e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9800540578607366 y[1] (closed_form) 0.3343038700394261 y[1] (numeric) 0.33430387003904977 absolute error 3.763100941966968e-13 relative error 1.1256528204484045e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9900843375782715 y[1] (closed_form) 0.33055778149158804 y[1] (numeric) 0.33055778149121723 absolute error 3.708144902248023e-13 relative error 1.1217841811242876e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9999979861363 y[1] (closed_form) 0.32682257247967983 y[1] (numeric) 0.3268225724793146 absolute error 3.6520786395044524e-13 relative error 1.1174499398237006e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.010028265853835 y[1] (closed_form) 0.3230107322614348 y[1] (numeric) 0.3230107322610751 absolute error 3.597122599785507e-13 relative error 1.1136232454574013e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.02005854557137 y[1] (closed_form) 0.3191663953327827 y[1] (numeric) 0.31916639533242813 absolute error 3.5454972291404374e-13 relative error 1.1108616950239019e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.030088825288905 y[1] (closed_form) 0.3152899484558072 y[1] (numeric) 0.31528994845545827 absolute error 3.489430966396867e-13 relative error 1.1067371425847929e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.040002473846934 y[1] (closed_form) 0.31142740620292525 y[1] (numeric) 0.3114274062025819 absolute error 3.4333647036532966e-13 relative error 1.1024606811309746e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0500327535644685 y[1] (closed_form) 0.3074882745914685 y[1] (numeric) 0.30748827459113093 absolute error 3.3756331063727885e-13 relative error 1.0978087248555032e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.060063033282003 y[1] (closed_form) 0.3035182079168236 y[1] (numeric) 0.3035182079164914 absolute error 3.3217872896784684e-13 relative error 1.0944276827664896e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.070093312999538 y[1] (closed_form) 0.29951760559019924 y[1] (numeric) 0.29951760558987256 absolute error 3.266831249959523e-13 relative error 1.0906975713571943e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.080006961557567 y[1] (closed_form) 0.2955339107264088 y[1] (numeric) 0.2955339107260876 absolute error 3.211875210240578e-13 relative error 1.0868042866370008e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.090037241275102 y[1] (closed_form) 0.29147379090593223 y[1] (numeric) 0.2914737909056166 absolute error 3.15636405900932e-13 relative error 1.0828980709376982e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.100067520992637 y[1] (closed_form) 0.28738434717009226 y[1] (numeric) 0.28738434716978223 absolute error 3.1002977962657496e-13 relative error 1.0787984198842942e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.110097800710172 y[1] (closed_form) 0.2832659909401065 y[1] (numeric) 0.2832659909398022 absolute error 3.043121310497554e-13 relative error 1.0742981536180912e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1200114492682 y[1] (closed_form) 0.2791675179572924 y[1] (numeric) 0.2791675179569938 absolute error 2.9859448247293585e-13 relative error 1.0695889144188166e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.130041728985735 y[1] (closed_form) 0.27499290671074056 y[1] (numeric) 0.2749929067104477 absolute error 2.928768338961163e-13 relative error 1.0650341399685174e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.14007200870327 y[1] (closed_form) 0.2707906296191847 y[1] (numeric) 0.27079062961889777 absolute error 2.869371407143717e-13 relative error 1.0596272888685032e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.150102288420805 y[1] (closed_form) 0.26656110945551764 y[1] (numeric) 0.2665611094552366 absolute error 2.810529586838584e-13 relative error 1.0543659548009161e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.160015936978834 y[1] (closed_form) 0.2623544165072691 y[1] (numeric) 0.26235441650699404 absolute error 2.7505775435088253e-13 relative error 1.0484205221803897e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1700462166963685 y[1] (closed_form) 0.2580719938205404 y[1] (numeric) 0.25807199382027135 absolute error 2.690625500179067e-13 relative error 1.042587171256595e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.180076496413903 y[1] (closed_form) 0.25376360762854777 y[1] (numeric) 0.25376360762828476 absolute error 2.630118345336996e-13 relative error 1.0364442600401911e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.189990144971932 y[1] (closed_form) 0.24948023080080428 y[1] (numeric) 0.24948023080054707 absolute error 2.5721091923003314e-13 relative error 1.0309871784406091e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.200020424689467 y[1] (closed_form) 0.24512150978697086 y[1] (numeric) 0.24512150978671976 absolute error 2.511046925945948e-13 relative error 1.0244090484463145e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.210050704407002 y[1] (closed_form) 0.24073812815996734 y[1] (numeric) 0.24073812815972243 absolute error 2.4491519923230953e-13 relative error 1.017351098906803e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.220080984124537 y[1] (closed_form) 0.23633052691282927 y[1] (numeric) 0.2363305269125904 absolute error 2.3886448374810243e-13 relative error 1.0107220885442692e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2299946326825655 y[1] (closed_form) 0.23195081205045368 y[1] (numeric) 0.2319508120502209 absolute error 2.327860126882797e-13 relative error 1.0036007661729778e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2400249124001 y[1] (closed_form) 0.22749637295659372 y[1] (numeric) 0.22749637295636727 absolute error 2.264577414479163e-13 relative error 9.954345139872819e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.250055192117635 y[1] (closed_form) 0.22301904643822354 y[1] (numeric) 0.22301904643800333 absolute error 2.202127369343998e-13 relative error 9.874167271870158e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.26008547183517 y[1] (closed_form) 0.2185192829397672 y[1] (numeric) 0.21851928293955308 absolute error 2.1410651029896144e-13 relative error 9.79806026354104e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.269999120393199 y[1] (closed_form) 0.2140502382243102 y[1] (numeric) 0.21405023822410238 absolute error 2.078337502098293e-13 relative error 9.709578084750065e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.280029400110734 y[1] (closed_form) 0.20950720880162618 y[1] (numeric) 0.20950720880142473 absolute error 2.0144996781823465e-13 relative error 9.615419391557997e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.290059679828269 y[1] (closed_form) 0.20494310176630381 y[1] (numeric) 0.20494310176610872 absolute error 1.9509394100225563e-13 relative error 9.519419747277995e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3000899595458035 y[1] (closed_form) 0.20035837629337905 y[1] (numeric) 0.2003583762931902 absolute error 1.8884893648873913e-13 relative error 9.425557342919021e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.310003608103832 y[1] (closed_form) 0.1958071528471646 y[1] (numeric) 0.19580715284698208 absolute error 1.8252066524837574e-13 relative error 9.321450345117908e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.320033887821367 y[1] (closed_form) 0.1911828026042854 y[1] (numeric) 0.1911828026041094 absolute error 1.7602586055431857e-13 relative error 9.207201597450214e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.330064167538902 y[1] (closed_form) 0.1865392182878894 y[1] (numeric) 0.18653921828771994 absolute error 1.6947554470903015e-13 relative error 9.085250075803117e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.340094447256437 y[1] (closed_form) 0.1818768670688774 y[1] (numeric) 0.1818768670687146 absolute error 1.628142065612792e-13 relative error 8.951891968736238e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.350008095814466 y[1] (closed_form) 0.1772507475121653 y[1] (numeric) 0.1772507475120089 absolute error 1.5640266859406893e-13 relative error 8.82380868849845e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3600383755320005 y[1] (closed_form) 0.17255247608287422 y[1] (numeric) 0.17255247608272448 absolute error 1.49741330446318e-13 relative error 8.678016905094981e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.370068655249535 y[1] (closed_form) 0.16783684489650622 y[1] (numeric) 0.16783684489636314 absolute error 1.4307999229856705e-13 relative error 8.524945305471807e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.38009893496707 y[1] (closed_form) 0.16310432837228567 y[1] (numeric) 0.16310432837214925 absolute error 1.364186541508161e-13 relative error 8.363889267208195e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.390012583525099 y[1] (closed_form) 0.15841071517001887 y[1] (numeric) 0.15841071516988914 absolute error 1.2972956042744954e-13 relative error 8.189443516381676e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.400042863242634 y[1] (closed_form) 0.15364604047276167 y[1] (numeric) 0.15364604047263875 absolute error 1.2292944440162046e-13 relative error 8.000820849230629e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.410073142960169 y[1] (closed_form) 0.14886590811300676 y[1] (numeric) 0.14886590811289047 absolute error 1.1629586182948515e-13 relative error 7.812121882278304e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.420103422677704 y[1] (closed_form) 0.1440707989991621 y[1] (numeric) 0.1440707989990526 absolute error 1.0949574580365606e-13 relative error 7.600134556364395e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.430017071235732 y[1] (closed_form) 0.13931720261594485 y[1] (numeric) 0.13931720261584205 absolute error 1.028066520802895e-13 relative error 7.379322161936897e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.440047350953267 y[1] (closed_form) 0.1344937488240657 y[1] (numeric) 0.13449374882396964 absolute error 9.606204720569167e-14 relative error 7.142491606160268e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.450077630670802 y[1] (closed_form) 0.12965676419877895 y[1] (numeric) 0.12965676419868957 absolute error 8.93729534823251e-14 relative error 6.893042105023224e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.459991279228831 y[1] (closed_form) 0.12486320415164388 y[1] (numeric) 0.12486320415156114 absolute error 8.273937091018979e-14 relative error 6.626401386408799e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.470021558946366 y[1] (closed_form) 0.12000076225041348 y[1] (numeric) 0.12000076225033754 absolute error 7.593925488436071e-14 relative error 6.32823104289065e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4800518386639006 y[1] (closed_form) 0.11512624759236728 y[1] (numeric) 0.11512624759229816 absolute error 6.912526107072381e-14 relative error 6.004300714766519e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4900821183814354 y[1] (closed_form) 0.11024015058130739 y[1] (numeric) 0.11024015058124517 absolute error 6.221412274243221e-14 relative error 5.6435085052379636e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.499995766939464 y[1] (closed_form) 0.1053999686865274 y[1] (numeric) 0.10539996868647206 absolute error 5.5344617777564054e-14 relative error 5.250914062618541e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.510026046656999 y[1] (closed_form) 0.10049230319085586 y[1] (numeric) 0.10049230319080746 absolute error 4.8405723873656825e-14 relative error 4.81685883760911e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.520056326374534 y[1] (closed_form) 0.09557452759991886 y[1] (numeric) 0.09557452759987735 absolute error 4.150846333317304e-14 relative error 4.343046664790241e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.530086606092069 y[1] (closed_form) 0.0906471366698135 y[1] (numeric) 0.09064713666977887 absolute error 3.462508058049707e-14 relative error 3.819765505293407e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5400002546500975 y[1] (closed_form) 0.08576807792324408 y[1] (numeric) 0.08576807792321632 absolute error 2.7755575615628914e-14 relative error 3.236119578250086e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.550030534367632 y[1] (closed_form) 0.08082304181257524 y[1] (numeric) 0.08082304181255436 absolute error 2.0886070650760757e-14 relative error 2.584172802997758e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.560060814085167 y[1] (closed_form) 0.07586987444581589 y[1] (numeric) 0.07586987444580194 absolute error 1.3947176746853529e-14 relative error 1.8383023365636655e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.570091093802702 y[1] (closed_form) 0.0709090741396764 y[1] (numeric) 0.07090907413966936 absolute error 7.0360384185619296e-15 relative error 9.922620629205185e-12% Desired digits 8 Estimated correct digits 10 Correct digits 14 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.580004742360731 y[1] (closed_form) 0.06599894574579711 y[1] (numeric) 0.0659989457457969 absolute error 2.0816681711721685e-16 relative error 3.1540930656528427e-13% Desired digits 8 Estimated correct digits 10 Correct digits 15 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.590035022078266 y[1] (closed_form) 0.06102445179800069 y[1] (numeric) 0.06102445179800741 absolute error 6.723788192886104e-15 relative error 1.1018186964043145e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.600065301795801 y[1] (closed_form) 0.05604381844448252 y[1] (numeric) 0.056043818444496206 absolute error 1.3683498778505054e-14 relative error 2.441571462883109e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6100955815133355 y[1] (closed_form) 0.051057546765186916 y[1] (numeric) 0.05105754676520762 absolute error 2.070565940925917e-14 relative error 4.0553572823395265e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.620009230071364 y[1] (closed_form) 0.04612420564443738 y[1] (numeric) 0.04612420564446499 absolute error 2.7609858843646862e-14 relative error 5.985980345436396e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.630039509788899 y[1] (closed_form) 0.04112821377421211 y[1] (numeric) 0.041128213774246726 absolute error 3.461814168659316e-14 relative error 8.41712744361856e-11% Desired digits 8 Estimated correct digits 10 Correct digits 13 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.640069789506434 y[1] (closed_form) 0.036128084172577034 y[1] (numeric) 0.036128084172618695 absolute error 4.1661118999059e-14 relative error 1.1531505185841492e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.650100069223969 y[1] (closed_form) 0.031124319880909527 y[1] (numeric) 0.031124319880958203 absolute error 4.867634073590921e-14 relative error 1.563932671369485e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.660013717781998 y[1] (closed_form) 0.026175660097472565 y[1] (numeric) 0.026175660097528187 absolute error 5.562217353372034e-14 relative error 2.1249578167883924e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6700439974995325 y[1] (closed_form) 0.021166164619323583 y[1] (numeric) 0.021166164619386238 absolute error 6.265474250533032e-14 relative error 2.9601367858648265e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.680074277217067 y[1] (closed_form) 0.01615453970504953 y[1] (numeric) 0.016154539705119233 absolute error 6.970118926474811e-14 relative error 4.3146502801909697e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.690104556934602 y[1] (closed_form) 0.011141289552521383 y[1] (numeric) 0.011141289552598122 absolute error 7.673896240678602e-14 relative error 6.887798943293708e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.700018205492631 y[1] (closed_form) 0.006185229682670802 y[1] (numeric) 0.0061852296827544975 absolute error 8.369520354545301e-14 relative error 1.3531462506548852e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.710048485210166 y[1] (closed_form) 0.0011702465188423155 y[1] (numeric) 0.001170246518933054 absolute error 9.073861453878784e-14 relative error 7.753803414732857e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.720078764927701 y[1] (closed_form) -0.0038448543784186224 y[1] (numeric) -0.0038448543783208416 absolute error 9.778072448951569e-14 relative error 2.543158072211115e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729992413485729 y[1] (closed_form) -0.00880126197698514 y[1] (numeric) -0.008801261976880408 absolute error 1.0473219513862375e-13 relative error 1.1899679320135363e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.740022693203264 y[1] (closed_form) -0.013815098000311976 y[1] (numeric) -0.013815098000200206 absolute error 1.1176996828066166e-13 relative error 8.090421673312607e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.750052972920799 y[1] (closed_form) -0.018827544146479566 y[1] (numeric) -0.018827544146360745 absolute error 1.1882161921050738e-13 relative error 6.311052481729276e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.760083252638334 y[1] (closed_form) -0.02383809613499635 y[1] (numeric) -0.02383809613487049 absolute error 1.2586112707602126e-13 relative error 5.279831340693623e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769996901196363 y[1] (closed_form) -0.028788031230510526 y[1] (numeric) -0.028788031230377705 absolute error 1.328208376616402e-13 relative error 4.613752034591105e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.780027180913898 y[1] (closed_form) -0.03379331951474952 y[1] (numeric) -0.03379331951460969 absolute error 1.3983258995153847e-13 relative error 4.137876715263405e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.790057460631433 y[1] (closed_form) -0.038795207999513505 y[1] (numeric) -0.03879520799936665 absolute error 1.4685475058229258e-13 relative error 3.785383766575866e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8000877403489675 y[1] (closed_form) -0.043793193466471494 y[1] (numeric) -0.04379319346631759 absolute error 1.5390466678866233e-13 relative error 3.514351309102253e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.810001388906996 y[1] (closed_form) -0.04872873544197448 y[1] (numeric) -0.048728735441813636 absolute error 1.6084356069256955e-13 relative error 3.300794884860082e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.820031668624531 y[1] (closed_form) -0.053717466797004336 y[1] (numeric) -0.0537174667968365 absolute error 1.6783796574770804e-13 relative error 3.1244579418080057e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.830061948342066 y[1] (closed_form) -0.05870079387041765 y[1] (numeric) -0.058700793870242844 absolute error 1.748046152272309e-13 relative error 2.977891842708518e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.840092228059601 y[1] (closed_form) -0.06367821531126663 y[1] (numeric) -0.06367821531108482 absolute error 1.818128980701772e-13 relative error 2.855182061580311e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8500058766176295 y[1] (closed_form) -0.06859146658088751 y[1] (numeric) -0.06859146658069881 absolute error 1.8869628082285317e-13 relative error 2.751016857181939e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.860036156335164 y[1] (closed_form) -0.07355565831008468 y[1] (numeric) -0.07355565830988901 absolute error 1.9566293030237603e-13 relative error 2.6600663334087804e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.870066436052699 y[1] (closed_form) -0.07851244992316132 y[1] (numeric) -0.07851244992295875 absolute error 2.0257406863066763e-13 relative error 2.5801521775071736e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.880096715770234 y[1] (closed_form) -0.08346134273878736 y[1] (numeric) -0.08346134273857783 absolute error 2.0952684032238267e-13 relative error 2.5104657251698916e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.890010364328263 y[1] (closed_form) -0.0883444413850306 y[1] (numeric) -0.0883444413848142 absolute error 2.1639634528725082e-13 relative error 2.4494619230669313e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.900040644045798 y[1] (closed_form) -0.09327615005874627 y[1] (numeric) -0.09327615005852295 absolute error 2.2332136140335024e-13 relative error 2.39419574309939e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.910070923763333 y[1] (closed_form) -0.09819847462310087 y[1] (numeric) -0.09819847462287068 absolute error 2.301908663682184e-13 relative error 2.34413892121769e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9201012034808675 y[1] (closed_form) -0.10311091986434473 y[1] (numeric) -0.1031109198641077 absolute error 2.370326157574709e-13 relative error 2.2988119596771794e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.930014852038896 y[1] (closed_form) -0.10795605221830297 y[1] (numeric) -0.10795605221805915 absolute error 2.438188539954922e-13 relative error 2.2585010194931424e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.940045131756431 y[1] (closed_form) -0.11284738638450732 y[1] (numeric) -0.1128473863842567 absolute error 2.5061897002132127e-13 relative error 2.2208664112732028e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.950075411473966 y[1] (closed_form) -0.11772736746405149 y[1] (numeric) -0.11772736746379399 absolute error 2.5750235277399725e-13 relative error 2.187276912079314e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.959989060031995 y[1] (closed_form) -0.1225389681850312 y[1] (numeric) -0.12253896818476685 absolute error 2.6434410216324977e-13 relative error 2.1572248083898985e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.97001933974953 y[1] (closed_form) -0.1273949176475426 y[1] (numeric) -0.1273949176472716 absolute error 2.710054403110007e-13 relative error 2.1272861218905016e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9800496194670645 y[1] (closed_form) -0.1322380504592971 y[1] (numeric) -0.13223805045901924 absolute error 2.7786106748806105e-13 relative error 2.1012187227728887e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.990079899184599 y[1] (closed_form) -0.1370678793736842 y[1] (numeric) -0.1370678793733994 absolute error 2.847999613919683e-13 relative error 2.0778023464967047e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.999993547742628 y[1] (closed_form) -0.14182799911555066 y[1] (numeric) -0.14182799911525903 absolute error 2.91627832993413e-13 relative error 2.056207764419047e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00011663115950605595 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( x ) / 2.0 ; Iterations 55931 Total Elapsed Time 11 Seconds Elapsed Time(since restart) 11 Seconds Time to Timeout 2 Minutes 49.0 Seconds Percent Done 100.0022681006164%