##############ECHO OF PROBLEM################# ##############temp/sin_backpostode.ode################# diff ( y , x , 1 ) = sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # ELIMINATED in preodein.rb # Digits:=32; ELIMINATED in preodein.rb max_terms=40 # ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK # ELIMINATED in preodein.rb x_start=c(-0.1) x_end=c(-1.0) $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 # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #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(c(2.0) - cos(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.101 y[1] (closed_form) 1.0050961656240234 y[1] (numeric) 1.0050961656240234 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 0.10031453265272965 Order of pole (three term test) 32.01016636034397 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10200000000000001 y[1] (closed_form) 1.0051974914298238 y[1] (numeric) 1.0051974914298238 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.10129399864993185 Order of pole (three term test) 32.01036796894248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10300000000000001 y[1] (closed_form) 1.00529981203805 y[1] (numeric) 1.00529981203805 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.1022730594712746 Order of pole (three term test) 32.01057153606847 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10400000000000001 y[1] (closed_form) 1.0054031273463815 y[1] (numeric) 1.0054031273463815 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.10325171120051588 Order of pole (three term test) 32.01077706090765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10500000000000001 y[1] (closed_form) 1.0055074372515027 y[1] (numeric) 1.0055074372515025 absolute error 2.220446049250313e-16 relative error 2.2082840633379856e-14% Desired digits 8 Estimated correct digits 13 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 0.10422994992304974 Order of pole (three term test) 32.01098454263793 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10600000000000001 y[1] (closed_form) 1.0056127416491036 y[1] (numeric) 1.0056127416491034 absolute error 2.220446049250313e-16 relative error 2.208052819228409e-14% Desired digits 8 Estimated correct digits 13 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 0.10520777172592313 Order of pole (three term test) 32.01119398042939 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10700000000000001 y[1] (closed_form) 1.0057190404338798 y[1] (numeric) 1.0057190404338798 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.1061851726978497 Order of pole (three term test) 32.01140537344427 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10800000000000001 y[1] (closed_form) 1.0058263334995332 y[1] (numeric) 1.005826333499533 absolute error 2.220446049250313e-16 relative error 2.2075839290514494e-14% Desired digits 8 Estimated correct digits 13 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 0.10716214892922715 Order of pole (three term test) 32.01161872083701 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10900000000000001 y[1] (closed_form) 1.00593462073877 y[1] (numeric) 1.0059346207387698 absolute error 2.220446049250313e-16 relative error 2.2073462862025683e-14% Desired digits 8 Estimated correct digits 13 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 0.10813869651215191 Order of pole (three term test) 32.01183402175423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11000000000000001 y[1] (closed_form) 1.0060439020433032 y[1] (numeric) 1.006043902043303 absolute error 2.220446049250313e-16 relative error 2.20710651368248e-14% Desired digits 8 Estimated correct digits 13 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 0.10911481154043468 Order of pole (three term test) 32.0120512753347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11100000000000002 y[1] (closed_form) 1.0061541773038516 y[1] (numeric) 1.0061541773038514 absolute error 2.220446049250313e-16 relative error 2.2068646131354815e-14% Desired digits 8 Estimated correct digits 13 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 0.11009049010961683 Order of pole (three term test) 32.01227048070941 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11200000000000002 y[1] (closed_form) 1.0062654464101397 y[1] (numeric) 1.0062654464101397 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.11106572831698515 Order of pole (three term test) 32.01249163700156 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11300000000000002 y[1] (closed_form) 1.0063777092508988 y[1] (numeric) 1.0063777092508988 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.11204052226158843 Order of pole (three term test) 32.01271474332651 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11400000000000002 y[1] (closed_form) 1.0064909657138656 y[1] (numeric) 1.0064909657138656 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.1130148680442521 Order of pole (three term test) 32.012939798791834 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11500000000000002 y[1] (closed_form) 1.0066052156857843 y[1] (numeric) 1.006605215685784 absolute error 2.220446049250313e-16 relative error 2.205875764052701e-14% Desired digits 8 Estimated correct digits 13 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 0.1139887617675942 Order of pole (three term test) 32.01316680249732 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11600000000000002 y[1] (closed_form) 1.0067204590524041 y[1] (numeric) 1.0067204590524041 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.11496219953604131 Order of pole (three term test) 32.01339575353494 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11700000000000002 y[1] (closed_form) 1.0068366956984822 y[1] (numeric) 1.0068366956984822 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.11593517745584352 Order of pole (three term test) 32.0136266509889 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11800000000000002 y[1] (closed_form) 1.006953925507782 y[1] (numeric) 1.006953925507782 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.11690769163509038 Order of pole (three term test) 32.0138594939356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11900000000000002 y[1] (closed_form) 1.0070721483630733 y[1] (numeric) 1.0070721483630733 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.11787973818372657 Order of pole (three term test) 32.014094281443676 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12000000000000002 y[1] (closed_form) 1.0071913641461339 y[1] (numeric) 1.0071913641461336 absolute error 2.220446049250313e-16 relative error 2.2045920252034127e-14% Desired digits 8 Estimated correct digits 13 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 0.11885131321356741 Order of pole (three term test) 32.01433101257399 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12100000000000002 y[1] (closed_form) 1.007311572737747 y[1] (numeric) 1.007311572737747 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.1198224128383137 Order of pole (three term test) 32.014569686379595 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12200000000000003 y[1] (closed_form) 1.0074327740177051 y[1] (numeric) 1.0074327740177051 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.12079303317356832 Order of pole (three term test) 32.01481030190581 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12300000000000003 y[1] (closed_form) 1.0075549678648064 y[1] (numeric) 1.0075549678648064 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.12176317033685145 Order of pole (three term test) 32.015052858190174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12400000000000003 y[1] (closed_form) 1.0076781541568571 y[1] (numeric) 1.0076781541568571 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.12273282044761563 Order of pole (three term test) 32.01529735426245 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12500000000000003 y[1] (closed_form) 1.0078023327706709 y[1] (numeric) 1.0078023327706709 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.12370197962726145 Order of pole (three term test) 32.01554378914468 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12600000000000003 y[1] (closed_form) 1.0079275035820694 y[1] (numeric) 1.0079275035820692 absolute error 2.220446049250313e-16 relative error 2.202981902328371e-14% Desired digits 8 Estimated correct digits 13 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 0.12467064399915379 Order of pole (three term test) 32.01579216185109 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12700000000000003 y[1] (closed_form) 1.0080536664658815 y[1] (numeric) 1.0080536664658812 absolute error 2.220446049250313e-16 relative error 2.2027061882875124e-14% Desired digits 8 Estimated correct digits 13 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 0.12563880968863647 Order of pole (three term test) 32.01604247138822 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12800000000000003 y[1] (closed_form) 1.0081808212959444 y[1] (numeric) 1.0081808212959442 absolute error 2.220446049250313e-16 relative error 2.2024283762867938e-14% Desired digits 8 Estimated correct digits 13 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 0.12660647282304782 Order of pole (three term test) 32.016294716754814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12900000000000003 y[1] (closed_form) 1.0083089679451036 y[1] (numeric) 1.0083089679451032 absolute error 4.440892098500626e-16 relative error 4.404296936435069e-14% Desired digits 8 Estimated correct digits 13 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 0.12757362953173665 Order of pole (three term test) 32.01654889694189 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13000000000000003 y[1] (closed_form) 1.008438106285212 y[1] (numeric) 1.0084381062852117 absolute error 2.220446049250313e-16 relative error 2.201866465984492e-14% Desired digits 8 Estimated correct digits 13 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 0.12854027594607761 Order of pole (three term test) 32.01680501093275 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13100000000000003 y[1] (closed_form) 1.0085682361871315 y[1] (numeric) 1.0085682361871313 absolute error 2.220446049250313e-16 relative error 2.201582371505826e-14% Desired digits 8 Estimated correct digits 13 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 0.12950640819948597 Order of pole (three term test) 32.017063057702906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13200000000000003 y[1] (closed_form) 1.0086993575207321 y[1] (numeric) 1.0086993575207321 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.13047202242743425 Order of pole (three term test) 32.01732303622019 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13300000000000003 y[1] (closed_form) 1.0088314701548928 y[1] (numeric) 1.0088314701548928 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.13143711476746694 Order of pole (three term test) 32.01758494544469 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13400000000000004 y[1] (closed_form) 1.0089645739575008 y[1] (numeric) 1.0089645739575006 absolute error 2.220446049250313e-16 relative error 2.200717553978106e-14% Desired digits 8 Estimated correct digits 13 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 0.1324016813592157 Order of pole (three term test) 32.01784878432876 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13500000000000004 y[1] (closed_form) 1.0090986687954522 y[1] (numeric) 1.009098668795452 absolute error 2.220446049250313e-16 relative error 2.2004251099655403e-14% Desired digits 8 Estimated correct digits 13 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 0.1333657183444155 Order of pole (three term test) 32.01811455181706 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13600000000000004 y[1] (closed_form) 1.0092337545346521 y[1] (numeric) 1.009233754534652 absolute error 2.220446049250313e-16 relative error 2.2001305834981105e-14% Desired digits 8 Estimated correct digits 13 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 0.13432922186691987 Order of pole (three term test) 32.01838224684649 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13700000000000004 y[1] (closed_form) 1.009369831040015 y[1] (numeric) 1.0093698310400148 absolute error 2.220446049250313e-16 relative error 2.199833976573733e-14% Desired digits 8 Estimated correct digits 13 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 0.13529218807271592 Order of pole (three term test) 32.01865186834631 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13800000000000004 y[1] (closed_form) 1.0095068981754642 y[1] (numeric) 1.009506898175464 absolute error 2.220446049250313e-16 relative error 2.1995352912035012e-14% Desired digits 8 Estimated correct digits 13 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 0.13625461310993997 Order of pole (three term test) 32.018923415238014 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13900000000000004 y[1] (closed_form) 1.0096449558039327 y[1] (numeric) 1.0096449558039327 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.1372164931288932 Order of pole (three term test) 32.01919688643541 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14000000000000004 y[1] (closed_form) 1.0097840037873629 y[1] (numeric) 1.0097840037873629 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.13817782428205685 Order of pole (three term test) 32.019472280844624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14100000000000004 y[1] (closed_form) 1.0099240419867068 y[1] (numeric) 1.0099240419867068 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.13913860272410775 Order of pole (three term test) 32.01974959736406 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14200000000000004 y[1] (closed_form) 1.010065070261926 y[1] (numeric) 1.0100650702619263 absolute error 2.220446049250313e-16 relative error 2.19831980594529e-14% Desired digits 8 Estimated correct digits 13 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 0.14009882461193313 Order of pole (three term test) 32.02002883488448 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14300000000000004 y[1] (closed_form) 1.0102070884719927 y[1] (numeric) 1.010207088471993 absolute error 2.220446049250313e-16 relative error 2.1980107589711033e-14% Desired digits 8 Estimated correct digits 13 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 0.14105848610464702 Order of pole (three term test) 32.02030999228891 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14400000000000004 y[1] (closed_form) 1.0103500964748884 y[1] (numeric) 1.0103500964748886 absolute error 2.220446049250313e-16 relative error 2.1976996458924978e-14% Desired digits 8 Estimated correct digits 13 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 0.14201758336360443 Order of pole (three term test) 32.02059306845274 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14500000000000005 y[1] (closed_form) 1.0104940941276053 y[1] (numeric) 1.0104940941276053 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.1429761125524177 Order of pole (three term test) 32.020878062243646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14600000000000005 y[1] (closed_form) 1.0106390812861454 y[1] (numeric) 1.0106390812861454 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.14393406983697152 Order of pole (three term test) 32.02116497252168 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14700000000000005 y[1] (closed_form) 1.010785057805522 y[1] (numeric) 1.010785057805522 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.14489145138543794 Order of pole (three term test) 32.02145379813918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14800000000000005 y[1] (closed_form) 1.010932023539758 y[1] (numeric) 1.010932023539758 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.1458482533682919 Order of pole (three term test) 32.02174453794085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14900000000000005 y[1] (closed_form) 1.0110799783418882 y[1] (numeric) 1.0110799783418882 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.14680447195832705 Order of pole (three term test) 32.022037190763726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15000000000000005 y[1] (closed_form) 1.0112289220639576 y[1] (numeric) 1.0112289220639576 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.14776010333066983 Order of pole (three term test) 32.0223317554372 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15100000000000005 y[1] (closed_form) 1.0113788545570226 y[1] (numeric) 1.0113788545570226 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.14871514366279637 Order of pole (three term test) 32.02262823078301 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15200000000000005 y[1] (closed_form) 1.0115297756711508 y[1] (numeric) 1.0115297756711508 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.14966958913454653 Order of pole (three term test) 32.022926615615276 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15300000000000005 y[1] (closed_form) 1.0116816852554207 y[1] (numeric) 1.011681685255421 absolute error 2.220446049250313e-16 relative error 2.1948070046258808e-14% Desired digits 8 Estimated correct digits 13 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 0.15062343592813993 Order of pole (three term test) 32.02322690874043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15400000000000005 y[1] (closed_form) 1.0118345831579232 y[1] (numeric) 1.0118345831579234 absolute error 2.220446049250313e-16 relative error 2.194475348253396e-14% Desired digits 8 Estimated correct digits 13 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 0.15157668022819032 Order of pole (three term test) 32.02352910895733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15500000000000005 y[1] (closed_form) 1.0119884692257601 y[1] (numeric) 1.0119884692257604 absolute error 2.220446049250313e-16 relative error 2.1941416496070406e-14% Desired digits 8 Estimated correct digits 13 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 0.1525293182217219 Order of pole (three term test) 32.023833215057145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15600000000000006 y[1] (closed_form) 1.0121433433050455 y[1] (numeric) 1.0121433433050457 absolute error 2.220446049250313e-16 relative error 2.193805910929261e-14% Desired digits 8 Estimated correct digits 13 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 0.15348134609818376 Order of pole (three term test) 32.02413922582346 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15700000000000006 y[1] (closed_form) 1.0122992052409052 y[1] (numeric) 1.0122992052409054 absolute error 2.220446049250313e-16 relative error 2.1934681344750193e-14% Desired digits 8 Estimated correct digits 13 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 0.15443276004946607 Order of pole (three term test) 32.02444714003225 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15800000000000006 y[1] (closed_form) 1.0124560548774775 y[1] (numeric) 1.0124560548774777 absolute error 2.220446049250313e-16 relative error 2.1931283225117565e-14% Desired digits 8 Estimated correct digits 13 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 0.15538355626991412 Order of pole (three term test) 32.02475695645184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15900000000000006 y[1] (closed_form) 1.0126138920579124 y[1] (numeric) 1.0126138920579126 absolute error 2.220446049250313e-16 relative error 2.1927864773193567e-14% Desired digits 8 Estimated correct digits 13 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 0.15633373095634417 Order of pole (three term test) 32.02506867384298 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16000000000000006 y[1] (closed_form) 1.0127727166243732 y[1] (numeric) 1.0127727166243734 absolute error 2.220446049250313e-16 relative error 2.1924426011901082e-14% Desired digits 8 Estimated correct digits 13 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 0.15728328030805888 Order of pole (three term test) 32.025382290958774 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16100000000000006 y[1] (closed_form) 1.0129325284180348 y[1] (numeric) 1.0129325284180353 absolute error 4.440892098500626e-16 relative error 4.384193392857338e-14% Desired digits 8 Estimated correct digits 13 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 0.15823220052686202 Order of pole (three term test) 32.025697806544784 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16200000000000006 y[1] (closed_form) 1.013093327279086 y[1] (numeric) 1.0130933272790863 absolute error 2.220446049250313e-16 relative error 2.1917487653520263e-14% Desired digits 8 Estimated correct digits 13 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 0.15918048781707408 Order of pole (three term test) 32.02601521933894 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16300000000000006 y[1] (closed_form) 1.0132551130467276 y[1] (numeric) 1.0132551130467278 absolute error 2.220446049250313e-16 relative error 2.191398810289462e-14% Desired digits 8 Estimated correct digits 13 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 0.16012813838554715 Order of pole (three term test) 32.02633452807157 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16400000000000006 y[1] (closed_form) 1.0134178855591738 y[1] (numeric) 1.013417885559174 absolute error 2.220446049250313e-16 relative error 2.191046833582513e-14% Desired digits 8 Estimated correct digits 13 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 0.16107514844168017 Order of pole (three term test) 32.02665573146547 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16500000000000006 y[1] (closed_form) 1.0135816446536523 y[1] (numeric) 1.0135816446536525 absolute error 2.220446049250313e-16 relative error 2.1906928375849332e-14% Desired digits 8 Estimated correct digits 13 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 0.16202151419743424 Order of pole (three term test) 32.026978828235805 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16600000000000006 y[1] (closed_form) 1.0137463901664039 y[1] (numeric) 1.013746390166404 absolute error 2.220446049250313e-16 relative error 2.190336824662658e-14% Desired digits 8 Estimated correct digits 13 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 0.16296723186734755 Order of pole (three term test) 32.0273038170902 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16700000000000007 y[1] (closed_form) 1.0139121219326834 y[1] (numeric) 1.0139121219326834 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.16391229766855073 Order of pole (three term test) 32.0276306967287 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16800000000000007 y[1] (closed_form) 1.0140788397867584 y[1] (numeric) 1.0140788397867586 absolute error 2.220446049250313e-16 relative error 2.1896187575684264e-14% Desired digits 8 Estimated correct digits 13 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 0.16485670782078138 Order of pole (three term test) 32.02795946584377 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16900000000000007 y[1] (closed_form) 1.014246543561912 y[1] (numeric) 1.014246543561912 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.16580045854640105 Order of pole (three term test) 32.028290123120364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17000000000000007 y[1] (closed_form) 1.0144152330904395 y[1] (numeric) 1.0144152330904395 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.1667435460704072 Order of pole (three term test) 32.02862266723583 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17100000000000007 y[1] (closed_form) 1.0145849082036515 y[1] (numeric) 1.0145849082036518 absolute error 2.220446049250313e-16 relative error 2.1885265898363002e-14% Desired digits 8 Estimated correct digits 13 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 0.16768596662045174 Order of pole (three term test) 32.02895709686 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17200000000000007 y[1] (closed_form) 1.0147555687318737 y[1] (numeric) 1.0147555687318737 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.16862771642685312 Order of pole (three term test) 32.02929341065515 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17300000000000007 y[1] (closed_form) 1.0149272145044448 y[1] (numeric) 1.0149272145044448 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.1695687917226138 Order of pole (three term test) 32.02963160727602 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17400000000000007 y[1] (closed_form) 1.0150998453497193 y[1] (numeric) 1.0150998453497193 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.17050918874343346 Order of pole (three term test) 32.02997168536985 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17500000000000007 y[1] (closed_form) 1.0152734610950667 y[1] (numeric) 1.0152734610950664 absolute error 2.220446049250313e-16 relative error 2.1870423431095655e-14% Desired digits 8 Estimated correct digits 13 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 0.17144890372772575 Order of pole (three term test) 32.03031364357631 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17600000000000007 y[1] (closed_form) 1.0154480615668704 y[1] (numeric) 1.0154480615668704 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.1723879329166316 Order of pole (three term test) 32.03065748052756 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17700000000000007 y[1] (closed_form) 1.015623646590531 y[1] (numeric) 1.0156236465905308 absolute error 2.220446049250313e-16 relative error 2.18628825422133e-14% Desired digits 8 Estimated correct digits 13 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 0.17332627255403563 Order of pole (three term test) 32.031003194848275 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17800000000000007 y[1] (closed_form) 1.0158002159904627 y[1] (numeric) 1.0158002159904627 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.17426391888658066 Order of pole (three term test) 32.03135078515559 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17900000000000008 y[1] (closed_form) 1.0159777695900964 y[1] (numeric) 1.0159777695900964 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.17520086816368227 Order of pole (three term test) 32.03170025005912 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18000000000000008 y[1] (closed_form) 1.0161563072118787 y[1] (numeric) 1.0161563072118787 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.17613711663754514 Order of pole (three term test) 32.03205158816103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18100000000000008 y[1] (closed_form) 1.0163358286772715 y[1] (numeric) 1.0163358286772717 absolute error 2.220446049250313e-16 relative error 2.184756245521869e-14% Desired digits 8 Estimated correct digits 13 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 0.177072660563176 Order of pole (three term test) 32.032404798055964 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18200000000000008 y[1] (closed_form) 1.016516333806754 y[1] (numeric) 1.016516333806754 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.17800749619840098 Order of pole (three term test) 32.03275987833109 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18300000000000008 y[1] (closed_form) 1.0166978224198204 y[1] (numeric) 1.0166978224198207 absolute error 2.220446049250313e-16 relative error 2.1839783663207596e-14% Desired digits 8 Estimated correct digits 13 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 0.17894161980387818 Order of pole (three term test) 32.033116827566076 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18400000000000008 y[1] (closed_form) 1.0168802943349826 y[1] (numeric) 1.0168802943349828 absolute error 2.220446049250313e-16 relative error 2.183586466981776e-14% Desired digits 8 Estimated correct digits 13 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 0.17987502764311503 Order of pole (three term test) 32.03347564433313 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18500000000000008 y[1] (closed_form) 1.0170637493697685 y[1] (numeric) 1.0170637493697687 absolute error 2.220446049250313e-16 relative error 2.1831925979332463e-14% Desired digits 8 Estimated correct digits 13 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 0.18080771598248113 Order of pole (three term test) 32.03383632719698 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18600000000000008 y[1] (closed_form) 1.0172481873407233 y[1] (numeric) 1.0172481873407233 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 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 0.1817396810912243 Order of pole (three term test) 32.03419887471491 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18700000000000008 y[1] (closed_form) 1.0174336080634085 y[1] (numeric) 1.0174336080634088 absolute error 2.220446049250313e-16 relative error 2.1823989611240858e-14% Desired digits 8 Estimated correct digits 13 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 0.18267091924148526 Order of pole (three term test) 32.03456328543671 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18800000000000008 y[1] (closed_form) 1.017620011352404 y[1] (numeric) 1.0176200113524043 absolute error 2.220446049250313e-16 relative error 2.1819991986000436e-14% Desired digits 8 Estimated correct digits 13 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 0.18360142670831325 Order of pole (three term test) 32.03492955790475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18900000000000008 y[1] (closed_form) 1.0178073970213064 y[1] (numeric) 1.0178073970213066 absolute error 2.220446049250313e-16 relative error 2.181597476839551e-14% Desired digits 8 Estimated correct digits 13 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 0.1845311997696788 Order of pole (three term test) 32.03529769065394 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.19000000000000009 y[1] (closed_form) 1.0179957648827296 y[1] (numeric) 1.01799576488273 absolute error 4.440892098500626e-16 relative error 4.362387596978073e-14% Desired digits 8 Estimated correct digits 13 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 0.18546023470649145 Order of pole (three term test) 32.035667682211745 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1910000000000001 y[1] (closed_form) 1.0181851147483063 y[1] (numeric) 1.0181851147483068 absolute error 4.440892098500626e-16 relative error 4.361576332412213e-14% Desired digits 8 Estimated correct digits 13 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 0.18638852780261242 Order of pole (three term test) 32.036039531098204 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1920000000000001 y[1] (closed_form) 1.0183754464286865 y[1] (numeric) 1.018375446428687 absolute error 4.440892098500626e-16 relative error 4.36076116531901e-14% Desired digits 8 Estimated correct digits 13 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 0.18731607534487085 Order of pole (three term test) 32.03641323582592 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1930000000000001 y[1] (closed_form) 1.0185667597335382 y[1] (numeric) 1.0185667597335388 absolute error 6.661338147750939e-16 relative error 6.539913151587213e-14% Desired digits 8 Estimated correct digits 13 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 0.18824287362307762 Order of pole (three term test) 32.03678879490007 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1940000000000001 y[1] (closed_form) 1.0187590544715488 y[1] (numeric) 1.0187590544715492 absolute error 4.440892098500626e-16 relative error 4.3591191450113866e-14% Desired digits 8 Estimated correct digits 13 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 0.18916891893004092 Order of pole (three term test) 32.03716620681844 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1950000000000001 y[1] (closed_form) 1.0189523304504227 y[1] (numeric) 1.0189523304504233 absolute error 6.661338147750939e-16 relative error 6.537438453873823e-14% Desired digits 8 Estimated correct digits 13 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 0.19009420756158082 Order of pole (three term test) 32.03754547007134 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1960000000000001 y[1] (closed_form) 1.0191465874768846 y[1] (numeric) 1.0191465874768852 absolute error 6.661338147750939e-16 relative error 6.536192368796041e-14% Desired digits 8 Estimated correct digits 13 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 0.19101873581654388 Order of pole (three term test) 32.03792658314176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1970000000000001 y[1] (closed_form) 1.0193418253566775 y[1] (numeric) 1.019341825356678 absolute error 4.440892098500626e-16 relative error 4.3566269803034086e-14% Desired digits 8 Estimated correct digits 13 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 0.19194249999681834 Order of pole (three term test) 32.038309544505225 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1980000000000001 y[1] (closed_form) 1.019538043894563 y[1] (numeric) 1.0195380438945636 absolute error 6.661338147750939e-16 relative error 6.533682767055068e-14% Desired digits 8 Estimated correct digits 13 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 0.19286549640734862 Order of pole (three term test) 32.038694352629896 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1990000000000001 y[1] (closed_form) 1.019735242894323 y[1] (numeric) 1.0197352428943236 absolute error 6.661338147750939e-16 relative error 6.532419266832446e-14% Desired digits 8 Estimated correct digits 13 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 0.19378772135615038 Order of pole (three term test) 32.03908100597655 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2000000000000001 y[1] (closed_form) 1.0199334221587584 y[1] (numeric) 1.019933422158759 absolute error 6.661338147750939e-16 relative error 6.53114997805618e-14% Desired digits 8 Estimated correct digits 13 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 0.19470917115432546 Order of pole (three term test) 32.03946950299856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2010000000000001 y[1] (closed_form) 1.02013258148969 y[1] (numeric) 1.0201325814896907 absolute error 6.661338147750939e-16 relative error 6.529874909027462e-14% Desired digits 8 Estimated correct digits 13 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 0.19562984211607512 Order of pole (three term test) 32.039859842141944 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2020000000000001 y[1] (closed_form) 1.0203327206879584 y[1] (numeric) 1.020332720687959 absolute error 6.661338147750939e-16 relative error 6.528594068079614e-14% Desired digits 8 Estimated correct digits 13 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 0.19654973055871736 Order of pole (three term test) 32.04025202184534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2030000000000001 y[1] (closed_form) 1.0205338395534245 y[1] (numeric) 1.0205338395534251 absolute error 6.661338147750939e-16 relative error 6.527307463577959e-14% Desired digits 8 Estimated correct digits 13 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 0.19746883280269936 Order of pole (three term test) 32.04064604054005 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2040000000000001 y[1] (closed_form) 1.0207359378849694 y[1] (numeric) 1.02073593788497 absolute error 6.661338147750939e-16 relative error 6.526015103919688e-14% Desired digits 8 Estimated correct digits 13 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 0.19838714517161346 Order of pole (three term test) 32.041041896649965 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2050000000000001 y[1] (closed_form) 1.020939015480495 y[1] (numeric) 1.0209390154804956 absolute error 6.661338147750939e-16 relative error 6.524716997533732e-14% Desired digits 8 Estimated correct digits 13 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 0.19930466399221142 Order of pole (three term test) 32.0414395885917 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2060000000000001 y[1] (closed_form) 1.0211430721369235 y[1] (numeric) 1.021143072136924 absolute error 4.440892098500626e-16 relative error 4.348942101920419e-14% Desired digits 8 Estimated correct digits 13 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 0.20022138559441938 Order of pole (three term test) 32.04183911477446 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2070000000000001 y[1] (closed_form) 1.021348107650198 y[1] (numeric) 1.0213481076501987 absolute error 6.661338147750939e-16 relative error 6.522103578452396e-14% Desired digits 8 Estimated correct digits 13 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 0.20113730631135157 Order of pole (three term test) 32.04224047360015 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2080000000000001 y[1] (closed_form) 1.0215541218152835 y[1] (numeric) 1.0215541218152842 absolute error 6.661338147750939e-16 relative error 6.52078828277239e-14% Desired digits 8 Estimated correct digits 13 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 0.20205242247932687 Order of pole (three term test) 32.04264366346334 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2090000000000001 y[1] (closed_form) 1.0217611144261656 y[1] (numeric) 1.0217611144261662 absolute error 6.661338147750939e-16 relative error 6.519467274395184e-14% Desired digits 8 Estimated correct digits 13 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 0.20296673043788166 Order of pole (three term test) 32.04304868275126 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2100000000000001 y[1] (closed_form) 1.0219690852758516 y[1] (numeric) 1.0219690852758525 absolute error 8.881784197001252e-16 relative error 8.690854082541906e-14% Desired digits 8 Estimated correct digits 13 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 0.2038802265297852 Order of pole (three term test) 32.04345552984385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2110000000000001 y[1] (closed_form) 1.0221780341563713 y[1] (numeric) 1.022178034156372 absolute error 6.661338147750939e-16 relative error 6.516808153922722e-14% Desired digits 8 Estimated correct digits 13 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 0.2047929071010545 Order of pole (three term test) 32.0438642031137 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2120000000000001 y[1] (closed_form) 1.022387960858775 y[1] (numeric) 1.0223879608587758 absolute error 8.881784197001252e-16 relative error 8.687293412121973e-14% Desired digits 8 Estimated correct digits 13 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 0.20570476850096847 Order of pole (three term test) 32.04427470092614 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2130000000000001 y[1] (closed_form) 1.0225988651731364 y[1] (numeric) 1.0225988651731373 absolute error 8.881784197001252e-16 relative error 8.68550171478772e-14% Desired digits 8 Estimated correct digits 13 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 0.2066158070820827 Order of pole (three term test) 32.044687021639156 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2140000000000001 y[1] (closed_form) 1.0228107468885512 y[1] (numeric) 1.0228107468885521 absolute error 8.881784197001252e-16 relative error 8.683702458172392e-14% Desired digits 8 Estimated correct digits 13 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 0.2075260192002441 Order of pole (three term test) 32.04510116360349 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2150000000000001 y[1] (closed_form) 1.0230236057931377 y[1] (numeric) 1.0230236057931386 absolute error 8.881784197001252e-16 relative error 8.681895653928058e-14% Desired digits 8 Estimated correct digits 13 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 0.20843540121460563 Order of pole (three term test) 32.045517125162554 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2160000000000001 y[1] (closed_form) 1.0232374416740369 y[1] (numeric) 1.0232374416740377 absolute error 8.881784197001252e-16 relative error 8.680081313747155e-14% Desired digits 8 Estimated correct digits 13 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 0.20934394948763987 Order of pole (three term test) 32.04593490465252 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2170000000000001 y[1] (closed_form) 1.0234522543174132 y[1] (numeric) 1.023452254317414 absolute error 8.881784197001252e-16 relative error 8.678259449362313e-14% Desired digits 8 Estimated correct digits 13 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 0.21025166038515541 Order of pole (three term test) 32.04635450040225 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2180000000000001 y[1] (closed_form) 1.0236680435084535 y[1] (numeric) 1.0236680435084546 absolute error 1.1102230246251565e-15 relative error 1.0845537590682718e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2111585302763098 Order of pole (three term test) 32.04677591073339 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2190000000000001 y[1] (closed_form) 1.0238848090313692 y[1] (numeric) 1.0238848090313704 absolute error 1.1102230246251565e-15 relative error 1.0843241493889007e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.21206455553362474 Order of pole (three term test) 32.04719913396027 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2200000000000001 y[1] (closed_form) 1.0241025506693946 y[1] (numeric) 1.0241025506693957 absolute error 1.1102230246251565e-15 relative error 1.084093603613691e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.21296973253299986 Order of pole (three term test) 32.047624168390016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2210000000000001 y[1] (closed_form) 1.0243212682047877 y[1] (numeric) 1.024321268204789 absolute error 1.3322676295501878e-15 relative error 1.3006345478749094e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.21387405765372924 Order of pole (three term test) 32.04805101232248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22200000000000011 y[1] (closed_form) 1.0245409614188317 y[1] (numeric) 1.0245409614188328 absolute error 1.1102230246251565e-15 relative error 1.0836297097264597e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.21477752727851274 Order of pole (three term test) 32.048479664050305 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22300000000000011 y[1] (closed_form) 1.0247616300918327 y[1] (numeric) 1.0247616300918339 absolute error 1.1102230246251565e-15 relative error 1.0833963646020444e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.215680137793474 Order of pole (three term test) 32.04891012185886 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22400000000000012 y[1] (closed_form) 1.0249832740031222 y[1] (numeric) 1.0249832740031235 absolute error 1.3322676295501878e-15 relative error 1.299794507228349e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.21658188558817146 Order of pole (three term test) 32.04934238402633 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22500000000000012 y[1] (closed_form) 1.0252058929310568 y[1] (numeric) 1.025205892931058 absolute error 1.1102230246251565e-15 relative error 1.0829268854971525e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2174827670556152 Order of pole (three term test) 32.049776448823664 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22600000000000012 y[1] (closed_form) 1.025429486653017 y[1] (numeric) 1.0254294866530183 absolute error 1.3322676295501878e-15 relative error 1.2992289054400854e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.21838277859228086 Order of pole (three term test) 32.050212314514596 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22700000000000012 y[1] (closed_form) 1.0256540549454094 y[1] (numeric) 1.0256540549454107 absolute error 1.3322676295501878e-15 relative error 1.2989444375775397e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.21928191659812316 Order of pole (three term test) 32.050649979355676 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22800000000000012 y[1] (closed_form) 1.0258795975836656 y[1] (numeric) 1.025879597583667 absolute error 1.3322676295501878e-15 relative error 1.298658860833359e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.22018017747659155 Order of pole (three term test) 32.05108944159624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22900000000000012 y[1] (closed_form) 1.0261061143422432 y[1] (numeric) 1.0261061143422445 absolute error 1.3322676295501878e-15 relative error 1.2983721770376555e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2210775576346438 Order of pole (three term test) 32.051530699478434 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23000000000000012 y[1] (closed_form) 1.0263336049946252 y[1] (numeric) 1.0263336049946266 absolute error 1.3322676295501878e-15 relative error 1.2980843880262156e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.22197405348275995 Order of pole (three term test) 32.051973751237234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23100000000000012 y[1] (closed_form) 1.026562069313321 y[1] (numeric) 1.0265620693133224 absolute error 1.3322676295501878e-15 relative error 1.2977954956404699e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2228696614349585 Order of pole (three term test) 32.052418595100434 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23200000000000012 y[1] (closed_form) 1.0267915070698665 y[1] (numeric) 1.0267915070698679 absolute error 1.3322676295501878e-15 relative error 1.2975055017274657e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.22376437790880802 Order of pole (three term test) 32.052865229288656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23300000000000012 y[1] (closed_form) 1.0270219180348237 y[1] (numeric) 1.0270219180348252 absolute error 1.5543122344752192e-15 relative error 1.513416809496481e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2246581993254446 Order of pole (three term test) 32.05331365201536 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23400000000000012 y[1] (closed_form) 1.0272533019777819 y[1] (numeric) 1.0272533019777834 absolute error 1.5543122344752192e-15 relative error 1.5130759195250918e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.22555112210958322 Order of pole (three term test) 32.05376386148688 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23500000000000013 y[1] (closed_form) 1.027485658667357 y[1] (numeric) 1.0274856586673586 absolute error 1.5543122344752192e-15 relative error 1.5127337509422304e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.22644314268953422 Order of pole (three term test) 32.054215855902335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23600000000000013 y[1] (closed_form) 1.0277189878711925 y[1] (numeric) 1.027718987871194 absolute error 1.5543122344752192e-15 relative error 1.5123903059286732e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.22733425749721653 Order of pole (three term test) 32.054669633453784 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23700000000000013 y[1] (closed_form) 1.0279532893559589 y[1] (numeric) 1.0279532893559606 absolute error 1.7763568394002505e-15 relative error 1.728052099053243e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2282244629681716 Order of pole (three term test) 32.0551251923261 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23800000000000013 y[1] (closed_form) 1.028188562887355 y[1] (numeric) 1.0281885628873568 absolute error 1.7763568394002505e-15 relative error 1.727656680416569e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.22911375554157967 Order of pole (three term test) 32.05558253069706 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23900000000000013 y[1] (closed_form) 1.0284248082301075 y[1] (numeric) 1.028424808230109 absolute error 1.5543122344752192e-15 relative error 1.5113523342072526e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.23000213166027048 Order of pole (three term test) 32.0560416467373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24000000000000013 y[1] (closed_form) 1.0286620251479706 y[1] (numeric) 1.0286620251479721 absolute error 1.5543122344752192e-15 relative error 1.5110038054059932e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2308895877707416 Order of pole (three term test) 32.05650253861036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24100000000000013 y[1] (closed_form) 1.0289002134037273 y[1] (numeric) 1.028900213403729 absolute error 1.7763568394002505e-15 relative error 1.7264617270549937e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.23177612032316955 Order of pole (three term test) 32.05696520447267 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24200000000000013 y[1] (closed_form) 1.02913937275919 y[1] (numeric) 1.0291393727591918 absolute error 1.7763568394002505e-15 relative error 1.7260605185454343e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2326617257714249 Order of pole (three term test) 32.05742964247358 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24300000000000013 y[1] (closed_form) 1.029379502975199 y[1] (numeric) 1.0293795029752006 absolute error 1.5543122344752192e-15 relative error 1.5099506352932183e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.23354640057308793 Order of pole (three term test) 32.05789585075533 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24400000000000013 y[1] (closed_form) 1.0296206038116242 y[1] (numeric) 1.0296206038116258 absolute error 1.5543122344752192e-15 relative error 1.5095970581019866e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.23443014118945943 Order of pole (three term test) 32.058363827453086 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24500000000000013 y[1] (closed_form) 1.0298626750273647 y[1] (numeric) 1.0298626750273663 absolute error 1.5543122344752192e-15 relative error 1.5092422243906636e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.23531294408557926 Order of pole (three term test) 32.05883357069494 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24600000000000014 y[1] (closed_form) 1.030105716380349 y[1] (numeric) 1.0301057163803509 absolute error 1.7763568394002505e-15 relative error 1.724441298745653e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.23619480573023616 Order of pole (three term test) 32.05930507860192 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24700000000000014 y[1] (closed_form) 1.0303497276275366 y[1] (numeric) 1.0303497276275382 absolute error 1.5543122344752192e-15 relative error 1.5085287963865904e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.23707572259598508 Order of pole (three term test) 32.05977834928801 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24800000000000014 y[1] (closed_form) 1.0305947085249154 y[1] (numeric) 1.0305947085249172 absolute error 1.7763568394002505e-15 relative error 1.7236230932552916e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.23795569115916004 Order of pole (three term test) 32.060253380860104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24900000000000014 y[1] (closed_form) 1.0308406588275052 y[1] (numeric) 1.0308406588275068 absolute error 1.5543122344752192e-15 relative error 1.5078103692990914e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.23883470789988745 Order of pole (three term test) 32.06073017141809 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2500000000000001 y[1] (closed_form) 1.0310875782893554 y[1] (numeric) 1.0310875782893567 absolute error 1.3322676295501878e-15 relative error 1.292099388647966e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.23971276930210164 Order of pole (three term test) 32.06120871905482 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2510000000000001 y[1] (closed_form) 1.0313354666635464 y[1] (numeric) 1.0313354666635477 absolute error 1.3322676295501878e-15 relative error 1.291788823921843e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2405898718535583 Order of pole (three term test) 32.06168902185607 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2520000000000001 y[1] (closed_form) 1.03158432370219 y[1] (numeric) 1.0315843237021913 absolute error 1.3322676295501878e-15 relative error 1.2914771957457574e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.24146601204584828 Order of pole (three term test) 32.06217107790066 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2530000000000001 y[1] (closed_form) 1.0318341491564291 y[1] (numeric) 1.0318341491564305 absolute error 1.3322676295501878e-15 relative error 1.2911645060782071e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.24234118637441207 Order of pole (three term test) 32.06265488526035 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2540000000000001 y[1] (closed_form) 1.0320849427764385 y[1] (numeric) 1.0320849427764398 absolute error 1.3322676295501878e-15 relative error 1.2908507568826846e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.24321539133855333 Order of pole (three term test) 32.063140441999906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2550000000000001 y[1] (closed_form) 1.0323367043114244 y[1] (numeric) 1.0323367043114258 absolute error 1.3322676295501878e-15 relative error 1.2905359501276468e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2440886234414539 Order of pole (three term test) 32.063627746177126 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2560000000000001 y[1] (closed_form) 1.0325894335096255 y[1] (numeric) 1.0325894335096268 absolute error 1.3322676295501878e-15 relative error 1.2902200877864868e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.24496087919018592 Order of pole (three term test) 32.06411679584277 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2570000000000001 y[1] (closed_form) 1.0328431301183123 y[1] (numeric) 1.0328431301183136 absolute error 1.3322676295501878e-15 relative error 1.289903171837505e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.24583215509572778 Order of pole (three term test) 32.064607589040655 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2580000000000001 y[1] (closed_form) 1.0330977938837886 y[1] (numeric) 1.0330977938837898 absolute error 1.1102230246251565e-15 relative error 1.0746543368865654e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2467024476729772 Order of pole (three term test) 32.065100123807596 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2590000000000001 y[1] (closed_form) 1.0333534245513902 y[1] (numeric) 1.0333534245513916 absolute error 1.3322676295501878e-15 relative error 1.2892661870536358e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.24757175344076443 Order of pole (three term test) 32.065594398173474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2600000000000001 y[1] (closed_form) 1.0336100218654867 y[1] (numeric) 1.0336100218654882 absolute error 1.5543122344752192e-15 relative error 1.5037704758995615e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2484400689218684 Order of pole (three term test) 32.06609041016117 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2610000000000001 y[1] (closed_form) 1.033867585569481 y[1] (numeric) 1.0338675855694823 absolute error 1.3322676295501878e-15 relative error 1.2886250116994822e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.24930739064302804 Order of pole (three term test) 32.06658815778666 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2620000000000001 y[1] (closed_form) 1.034126115405809 y[1] (numeric) 1.0341261154058103 absolute error 1.3322676295501878e-15 relative error 1.2883028575556114e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.25017371513495723 Order of pole (three term test) 32.067087639058926 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2630000000000001 y[1] (closed_form) 1.0343856111159413 y[1] (numeric) 1.0343856111159426 absolute error 1.3322676295501878e-15 relative error 1.287979661775146e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.25103903893235946 Order of pole (three term test) 32.06758885198006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2640000000000001 y[1] (closed_form) 1.034646072440382 y[1] (numeric) 1.0346460724403832 absolute error 1.1102230246251565e-15 relative error 1.0730461886416036e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2519033585739408 Order of pole (three term test) 32.06809179454521 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2650000000000001 y[1] (closed_form) 1.0349074991186697 y[1] (numeric) 1.0349074991186709 absolute error 1.1102230246251565e-15 relative error 1.0727751277970502e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.25276667060242347 Order of pole (three term test) 32.068596464742626 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2660000000000001 y[1] (closed_form) 1.035169890889378 y[1] (numeric) 1.0351698908893792 absolute error 1.1102230246251565e-15 relative error 1.0725032039632603e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2536289715645612 Order of pole (three term test) 32.069102860553585 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2670000000000001 y[1] (closed_form) 1.035433247490115 y[1] (numeric) 1.035433247490116 absolute error 1.1102230246251565e-15 relative error 1.0722304188283809e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2544902580111505 Order of pole (three term test) 32.069610979952536 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2680000000000001 y[1] (closed_form) 1.035697568657524 y[1] (numeric) 1.0356975686575252 absolute error 1.1102230246251565e-15 relative error 1.0719567740843814e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.25535052649704715 Order of pole (three term test) 32.07012082090699 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26900000000000013 y[1] (closed_form) 1.035962854127284 y[1] (numeric) 1.0359628541272852 absolute error 1.1102230246251565e-15 relative error 1.0716822714270298e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.25620977358117825 Order of pole (three term test) 32.070632381377585 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27000000000000013 y[1] (closed_form) 1.0362291036341094 y[1] (numeric) 1.0362291036341107 absolute error 1.3322676295501878e-15 relative error 1.2856882950670427e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.25706799582655676 Order of pole (three term test) 32.071145659318084 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27100000000000013 y[1] (closed_form) 1.0364963169117511 y[1] (numeric) 1.0364963169117523 absolute error 1.1102230246251565e-15 relative error 1.0711306991741897e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.25792518980029455 Order of pole (three term test) 32.07166065267538 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27200000000000013 y[1] (closed_form) 1.0367644936929956 y[1] (numeric) 1.0367644936929967 absolute error 1.1102230246251565e-15 relative error 1.0708536329890106e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2587813520736169 Order of pole (three term test) 32.07217735938949 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27300000000000013 y[1] (closed_form) 1.0370336337096662 y[1] (numeric) 1.0370336337096673 absolute error 1.1102230246251565e-15 relative error 1.0705757157110498e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.25963647922187644 Order of pole (three term test) 32.07269577739359 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27400000000000013 y[1] (closed_form) 1.0373037366926225 y[1] (numeric) 1.0373037366926239 absolute error 1.3322676295501878e-15 relative error 1.2843563388656432e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2604905678245651 Order of pole (three term test) 32.07321590461402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27500000000000013 y[1] (closed_form) 1.0375748023717621 y[1] (numeric) 1.0375748023717635 absolute error 1.3322676295501878e-15 relative error 1.2840208016856192e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.26134361446532955 Order of pole (three term test) 32.073737738970244 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27600000000000013 y[1] (closed_form) 1.037846830476019 y[1] (numeric) 1.0378468304760204 absolute error 1.3322676295501878e-15 relative error 1.2836842493791976e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2621956157319847 Order of pole (three term test) 32.074261278374955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27700000000000014 y[1] (closed_form) 1.0381198207333653 y[1] (numeric) 1.0381198207333668 absolute error 1.5543122344752192e-15 relative error 1.4972377980194974e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.26304656821652683 Order of pole (three term test) 32.07478652073399 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27800000000000014 y[1] (closed_form) 1.038393772870811 y[1] (numeric) 1.0383937728708124 absolute error 1.3322676295501878e-15 relative error 1.2830081076727897e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2638964685151468 Order of pole (three term test) 32.075313463946365 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27900000000000014 y[1] (closed_form) 1.0386686866144035 y[1] (numeric) 1.0386686866144048 absolute error 1.3322676295501878e-15 relative error 1.2826685224263244e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2647453132282442 Order of pole (three term test) 32.07584210590433 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28000000000000014 y[1] (closed_form) 1.0389445616892292 y[1] (numeric) 1.0389445616892306 absolute error 1.3322676295501878e-15 relative error 1.282327930360444e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2655930989604418 Order of pole (three term test) 32.076372444493295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28100000000000014 y[1] (closed_form) 1.039221397819413 y[1] (numeric) 1.0392213978194145 absolute error 1.5543122344752192e-15 relative error 1.4956507224895636e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.26643982232059776 Order of pole (three term test) 32.07690447759192 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28200000000000014 y[1] (closed_form) 1.0394991947281191 y[1] (numeric) 1.0394991947281205 absolute error 1.3322676295501878e-15 relative error 1.2816437341239522e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.26728547992181984 Order of pole (three term test) 32.07743820307206 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28300000000000014 y[1] (closed_form) 1.0397779521375505 y[1] (numeric) 1.0397779521375519 absolute error 1.3322676295501878e-15 relative error 1.2813001341405095e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.26813006838147835 Order of pole (three term test) 32.07797361879885 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28400000000000014 y[1] (closed_form) 1.0400576697689496 y[1] (numeric) 1.040057669768951 absolute error 1.3322676295501878e-15 relative error 1.2809555357119314e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2689735843212208 Order of pole (three term test) 32.07851072263058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28500000000000014 y[1] (closed_form) 1.040338347342599 y[1] (numeric) 1.0403383473426004 absolute error 1.5543122344752192e-15 relative error 1.4940449310990947e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2698160243669846 Order of pole (three term test) 32.07904951241886 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28600000000000014 y[1] (closed_form) 1.040619984577821 y[1] (numeric) 1.0406199845778226 absolute error 1.5543122344752192e-15 relative error 1.4936405772620278e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.27065738514901094 Order of pole (three term test) 32.079589986008536 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28700000000000014 y[1] (closed_form) 1.0409025811929786 y[1] (numeric) 1.0409025811929802 absolute error 1.5543122344752192e-15 relative error 1.4932350659499966e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2714976633018573 Order of pole (three term test) 32.080132141237705 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28800000000000014 y[1] (closed_form) 1.041186136905475 y[1] (numeric) 1.0411861369054767 absolute error 1.7763568394002505e-15 relative error 1.7060895995789836e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2723368554644129 Order of pole (three term test) 32.08067597593775 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28900000000000015 y[1] (closed_form) 1.0414706514317547 y[1] (numeric) 1.0414706514317562 absolute error 1.5543122344752192e-15 relative error 1.4924205807801105e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2731749582799093 Order of pole (three term test) 32.081221487933334 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29000000000000015 y[1] (closed_form) 1.041756124487303 y[1] (numeric) 1.0417561244873046 absolute error 1.5543122344752192e-15 relative error 1.4920116118733346e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.274011968395937 Order of pole (three term test) 32.081768675042404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29100000000000015 y[1] (closed_form) 1.0420425557866468 y[1] (numeric) 1.0420425557866486 absolute error 1.7763568394002505e-15 relative error 1.704687423307068e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2748478824644563 Order of pole (three term test) 32.082317535076214 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29200000000000015 y[1] (closed_form) 1.0423299450433552 y[1] (numeric) 1.042329945043357 absolute error 1.7763568394002505e-15 relative error 1.7042174100892436e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.27568269714181226 Order of pole (three term test) 32.082868065839335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29300000000000015 y[1] (closed_form) 1.0426182919700386 y[1] (numeric) 1.0426182919700404 absolute error 1.7763568394002505e-15 relative error 1.7037460910491076e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.27651640908874736 Order of pole (three term test) 32.08342026512963 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29400000000000015 y[1] (closed_form) 1.0429075962783503 y[1] (numeric) 1.042907596278352 absolute error 1.7763568394002505e-15 relative error 1.7032734690390957e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2773490149704146 Order of pole (three term test) 32.08397413073832 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29500000000000015 y[1] (closed_form) 1.0431978576789862 y[1] (numeric) 1.0431978576789878 absolute error 1.5543122344752192e-15 relative error 1.489949603552113e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.27818051145639205 Order of pole (three term test) 32.08452966044992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29600000000000015 y[1] (closed_form) 1.0434890758816846 y[1] (numeric) 1.0434890758816862 absolute error 1.5543122344752192e-15 relative error 1.4895337866013789e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.27901089522069433 Order of pole (three term test) 32.08508685204232 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29700000000000015 y[1] (closed_form) 1.0437812505952273 y[1] (numeric) 1.0437812505952289 absolute error 1.5543122344752192e-15 relative error 1.4891168370660579e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2798401629417881 Order of pole (three term test) 32.08564570328677 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29800000000000015 y[1] (closed_form) 1.0440743815274396 y[1] (numeric) 1.0440743815274414 absolute error 1.7763568394002505e-15 relative error 1.701370008525169e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2806683113026027 Order of pole (three term test) 32.08620621194785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29900000000000015 y[1] (closed_form) 1.0443684683851908 y[1] (numeric) 1.0443684683851926 absolute error 1.7763568394002505e-15 relative error 1.700890914627923e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2814953369905466 Order of pole (three term test) 32.08676837578353 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30000000000000016 y[1] (closed_form) 1.044663510874394 y[1] (numeric) 1.0446635108743958 absolute error 1.7763568394002505e-15 relative error 1.700410534980227e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.28232123669751774 Order of pole (three term test) 32.08733219254516 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30100000000000016 y[1] (closed_form) 1.0449595087000068 y[1] (numeric) 1.0449595087000085 absolute error 1.7763568394002505e-15 relative error 1.699928872469084e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.28314600711991866 Order of pole (three term test) 32.08789765997747 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30200000000000016 y[1] (closed_form) 1.0452564615660314 y[1] (numeric) 1.045256461566033 absolute error 1.5543122344752192e-15 relative error 1.4870151887379932e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.28396964495866867 Order of pole (three term test) 32.088464775818586 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30300000000000016 y[1] (closed_form) 1.0455543691755145 y[1] (numeric) 1.0455543691755163 absolute error 1.7763568394002505e-15 relative error 1.6989617104283346e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.28479214691921734 Order of pole (three term test) 32.08903353780005 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30400000000000016 y[1] (closed_form) 1.045853231230549 y[1] (numeric) 1.0458532312305509 absolute error 1.7763568394002505e-15 relative error 1.6984762166964786e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.28561350971155786 Order of pole (three term test) 32.089603943646814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30500000000000016 y[1] (closed_form) 1.046153047432273 y[1] (numeric) 1.0461530474322747 absolute error 1.5543122344752192e-15 relative error 1.4857407702345233e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.28643373005024086 Order of pole (three term test) 32.09017599107726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30600000000000016 y[1] (closed_form) 1.04645381748087 y[1] (numeric) 1.0464538174808715 absolute error 1.5543122344752192e-15 relative error 1.485313741046803e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2872528046543852 Order of pole (three term test) 32.090749677803196 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30700000000000016 y[1] (closed_form) 1.0467555410755698 y[1] (numeric) 1.0467555410755716 absolute error 1.7763568394002505e-15 relative error 1.6970121195393868e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2880707302476939 Order of pole (three term test) 32.09132500152987 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30800000000000016 y[1] (closed_form) 1.0470582179146493 y[1] (numeric) 1.047058217914651 absolute error 1.7763568394002505e-15 relative error 1.6965215582167846e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.28888750355846576 Order of pole (three term test) 32.09190195995599 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30900000000000016 y[1] (closed_form) 1.0473618476954316 y[1] (numeric) 1.0473618476954332 absolute error 1.5543122344752192e-15 relative error 1.4840260201335944e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.28970312131960885 Order of pole (three term test) 32.092480550773736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31000000000000016 y[1] (closed_form) 1.0476664301142866 y[1] (numeric) 1.0476664301142882 absolute error 1.5543122344752192e-15 relative error 1.483594577241216e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2905175802686528 Order of pole (three term test) 32.09306077166873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31100000000000017 y[1] (closed_form) 1.0479719648666324 y[1] (numeric) 1.0479719648666337 absolute error 1.3322676295501878e-15 relative error 1.2712817462819586e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2913308771477628 Order of pole (three term test) 32.093642620320104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31200000000000017 y[1] (closed_form) 1.0482784516469337 y[1] (numeric) 1.048278451646935 absolute error 1.3322676295501878e-15 relative error 1.270910059686034e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.2921430087037529 Order of pole (three term test) 32.09422609440044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31300000000000017 y[1] (closed_form) 1.0485858901487042 y[1] (numeric) 1.0485858901487055 absolute error 1.3322676295501878e-15 relative error 1.2705374371967312e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.29295397168809756 Order of pole (three term test) 32.094811191575864 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31400000000000017 y[1] (closed_form) 1.0488942800645051 y[1] (numeric) 1.0488942800645065 absolute error 1.3322676295501878e-15 relative error 1.270163881023601e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.29376376285694605 Order of pole (three term test) 32.095397909505984 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31500000000000017 y[1] (closed_form) 1.0492036210859468 y[1] (numeric) 1.0492036210859481 absolute error 1.3322676295501878e-15 relative error 1.269789393379394e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 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 0.294572378971135 Order of pole (three term test) 32.095986245843925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31600000000000017 y[1] (closed_form) 1.0495139129036881 y[1] (numeric) 1.0495139129036894 absolute error 1.3322676295501878e-15 relative error 1.2694139764800312e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.2953798167962006 Order of pole (three term test) 32.09657619823634 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31700000000000017 y[1] (closed_form) 1.0498251552074374 y[1] (numeric) 1.0498251552074387 absolute error 1.3322676295501878e-15 relative error 1.2690376325445755e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.296186073102393 Order of pole (three term test) 32.09716776432343 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31800000000000017 y[1] (closed_form) 1.0501373476859523 y[1] (numeric) 1.0501373476859535 absolute error 1.1102230246251565e-15 relative error 1.0572169698293342e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.2969911446646878 Order of pole (three term test) 32.09776094173892 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3190000000000002 y[1] (closed_form) 1.0504504900270404 y[1] (numeric) 1.0504504900270415 absolute error 1.1102230246251565e-15 relative error 1.0569018103809705e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.2977950282627997 Order of pole (three term test) 32.098355728110114 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3200000000000002 y[1] (closed_form) 1.050764581917559 y[1] (numeric) 1.0507645819175604 absolute error 1.3322676295501878e-15 relative error 1.267903060758775e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.29859772068119605 Order of pole (three term test) 32.098952121057856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3210000000000002 y[1] (closed_form) 1.051079623043417 y[1] (numeric) 1.0510796230434183 absolute error 1.3322676295501878e-15 relative error 1.2675230309313644e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.29939921870910796 Order of pole (three term test) 32.099550118196575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3220000000000002 y[1] (closed_form) 1.0513956130895727 y[1] (numeric) 1.051395613089574 absolute error 1.3322676295501878e-15 relative error 1.2671420852092585e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3001995191405437 Order of pole (three term test) 32.10014971713429 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3230000000000002 y[1] (closed_form) 1.0517125517400363 y[1] (numeric) 1.0517125517400376 absolute error 1.3322676295501878e-15 relative error 1.266760225829747e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3009986187743032 Order of pole (three term test) 32.1007509154726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3240000000000002 y[1] (closed_form) 1.0520304386778692 y[1] (numeric) 1.0520304386778705 absolute error 1.3322676295501878e-15 relative error 1.2663774550330545e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.30179651441398925 Order of pole (three term test) 32.10135371080673 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3250000000000002 y[1] (closed_form) 1.0523492735851843 y[1] (numeric) 1.0523492735851856 absolute error 1.3322676295501878e-15 relative error 1.2659937750623107e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3025932028680199 Order of pole (three term test) 32.10195810072546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3260000000000002 y[1] (closed_form) 1.0526690561431469 y[1] (numeric) 1.0526690561431482 absolute error 1.3322676295501878e-15 relative error 1.2656091881635208e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.30338868094964255 Order of pole (three term test) 32.10256408281128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3270000000000002 y[1] (closed_form) 1.0529897860319744 y[1] (numeric) 1.0529897860319757 absolute error 1.3322676295501878e-15 relative error 1.2652236965855365e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.30418294547694563 Order of pole (three term test) 32.103171654640235 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3280000000000002 y[1] (closed_form) 1.053311462930937 y[1] (numeric) 1.0533114629309381 absolute error 1.1102230246251565e-15 relative error 1.0540310854833553e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.30497599327287284 Order of pole (three term test) 32.10378081378204 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3290000000000002 y[1] (closed_form) 1.0536340865183578 y[1] (numeric) 1.0536340865183589 absolute error 1.1102230246251565e-15 relative error 1.0537083403345387e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3057678211652336 Order of pole (three term test) 32.10439155780006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3300000000000002 y[1] (closed_form) 1.053957656471613 y[1] (numeric) 1.0539576564716142 absolute error 1.1102230246251565e-15 relative error 1.053384846922509e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.30655842598671706 Order of pole (three term test) 32.10500388425132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3310000000000002 y[1] (closed_form) 1.0542821724671332 y[1] (numeric) 1.0542821724671343 absolute error 1.1102230246251565e-15 relative error 1.053060607130552e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.30734780457490546 Order of pole (three term test) 32.105617790686516 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3320000000000002 y[1] (closed_form) 1.0546076341804018 y[1] (numeric) 1.0546076341804032 absolute error 1.3322676295501878e-15 relative error 1.2632827474130435e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.30813595377228553 Order of pole (three term test) 32.10623327465002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3330000000000002 y[1] (closed_form) 1.0549340412859576 y[1] (numeric) 1.054934041285959 absolute error 1.3322676295501878e-15 relative error 1.262891875141466e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.30892287042626104 Order of pole (three term test) 32.106850333679915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3340000000000002 y[1] (closed_form) 1.0552613934573936 y[1] (numeric) 1.0552613934573947 absolute error 1.1102230246251565e-15 relative error 1.0520834283415695e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.30970855138916686 Order of pole (three term test) 32.10746896530794 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3350000000000002 y[1] (closed_form) 1.055589690367357 y[1] (numeric) 1.0555896903673583 absolute error 1.3322676295501878e-15 relative error 1.2621074662888608e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.31049299351828025 Order of pole (three term test) 32.108089167059575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3360000000000002 y[1] (closed_form) 1.0559189316875517 y[1] (numeric) 1.0559189316875528 absolute error 1.1102230246251565e-15 relative error 1.0514282785429531e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3112761936758331 Order of pole (three term test) 32.10871093645403 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3370000000000002 y[1] (closed_form) 1.0562491170887358 y[1] (numeric) 1.056249117088737 absolute error 1.1102230246251565e-15 relative error 1.0510996001446943e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3120581487290266 Order of pole (three term test) 32.10933427100421 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3380000000000002 y[1] (closed_form) 1.056580246240724 y[1] (numeric) 1.0565802462407254 absolute error 1.3322676295501878e-15 relative error 1.2609242263333522e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3128388555500411 Order of pole (three term test) 32.10995916821679 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3390000000000002 y[1] (closed_form) 1.0569123188123877 y[1] (numeric) 1.056912318812389 absolute error 1.3322676295501878e-15 relative error 1.260528055011419e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.31361831101605075 Order of pole (three term test) 32.11058562559217 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3400000000000002 y[1] (closed_form) 1.057245334471654 y[1] (numeric) 1.0572453344716553 absolute error 1.3322676295501878e-15 relative error 1.260131008491017e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3143965120092345 Order of pole (three term test) 32.111213640624534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3410000000000002 y[1] (closed_form) 1.057579292885507 y[1] (numeric) 1.0575792928855083 absolute error 1.3322676295501878e-15 relative error 1.2597330890577663e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3151734554167893 Order of pole (three term test) 32.111843210801815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3420000000000002 y[1] (closed_form) 1.0579141937199887 y[1] (numeric) 1.05791419371999 absolute error 1.3322676295501878e-15 relative error 1.2593342989996933e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3159491381309426 Order of pole (three term test) 32.11247433360574 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3430000000000002 y[1] (closed_form) 1.0582500366401981 y[1] (numeric) 1.0582500366401995 absolute error 1.3322676295501878e-15 relative error 1.2589346406072037e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.31672355704896465 Order of pole (three term test) 32.11310700651181 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3440000000000002 y[1] (closed_form) 1.0585868213102925 y[1] (numeric) 1.0585868213102938 absolute error 1.3322676295501878e-15 relative error 1.2585341161730505e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.317496709073181 Order of pole (three term test) 32.11374122698934 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3450000000000002 y[1] (closed_form) 1.0589245473934872 y[1] (numeric) 1.0589245473934883 absolute error 1.1102230246251565e-15 relative error 1.0484439399935898e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3182685911109841 Order of pole (three term test) 32.11437699250145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3460000000000002 y[1] (closed_form) 1.0592632145520557 y[1] (numeric) 1.059263214552057 absolute error 1.3322676295501878e-15 relative error 1.2577304783623408e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3190392000748471 Order of pole (three term test) 32.115014300505074 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3470000000000002 y[1] (closed_form) 1.0596028224473315 y[1] (numeric) 1.0596028224473328 absolute error 1.3322676295501878e-15 relative error 1.2573273695827753e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.31980853288233524 Order of pole (three term test) 32.11565314845098 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3480000000000002 y[1] (closed_form) 1.0599433707397066 y[1] (numeric) 1.059943370739708 absolute error 1.3322676295501878e-15 relative error 1.256923403955471e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3205765864561188 Order of pole (three term test) 32.116293533783775 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3490000000000002 y[1] (closed_form) 1.0602848590886325 y[1] (numeric) 1.0602848590886338 absolute error 1.3322676295501878e-15 relative error 1.2565185837844917e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.32134335772398337 Order of pole (three term test) 32.116935453941934 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3500000000000002 y[1] (closed_form) 1.060627287152621 y[1] (numeric) 1.0606272871526223 absolute error 1.3322676295501878e-15 relative error 1.2561129113760757e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3221088436188458 Order of pole (three term test) 32.11757890635776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3510000000000002 y[1] (closed_form) 1.0609706545892443 y[1] (numeric) 1.0609706545892454 absolute error 1.1102230246251565e-15 relative error 1.0464219908655064e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3228730410787629 Order of pole (three term test) 32.11822388845744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3520000000000002 y[1] (closed_form) 1.0613149610551345 y[1] (numeric) 1.0613149610551358 absolute error 1.3322676295501878e-15 relative error 1.2552990190825904e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3236359470469465 Order of pole (three term test) 32.11887039766108 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3530000000000002 y[1] (closed_form) 1.0616602062059854 y[1] (numeric) 1.0616602062059868 absolute error 1.3322676295501878e-15 relative error 1.2548908038206138e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3243975584717734 Order of pole (three term test) 32.1195184313826 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3540000000000002 y[1] (closed_form) 1.0620063896965521 y[1] (numeric) 1.0620063896965533 absolute error 1.1102230246251565e-15 relative error 1.0454014546394409e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3251578723067987 Order of pole (three term test) 32.12016798702991 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3550000000000002 y[1] (closed_form) 1.0623535111806508 y[1] (numeric) 1.062353511180652 absolute error 1.1102230246251565e-15 relative error 1.0450598721995146e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.32591688551076853 Order of pole (three term test) 32.12081906200475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3560000000000002 y[1] (closed_form) 1.0627015703111602 y[1] (numeric) 1.0627015703111613 absolute error 1.1102230246251565e-15 relative error 1.0447175911296358e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3266745950476307 Order of pole (three term test) 32.12147165370284 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3570000000000002 y[1] (closed_form) 1.0630505667400212 y[1] (numeric) 1.0630505667400223 absolute error 1.1102230246251565e-15 relative error 1.0443746133636856e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3274309978865483 Order of pole (three term test) 32.1221257595138 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3580000000000002 y[1] (closed_form) 1.0634005001182374 y[1] (numeric) 1.0634005001182385 absolute error 1.1102230246251565e-15 relative error 1.0440309408371663e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3281860910019113 Order of pole (three term test) 32.12278137682123 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3590000000000002 y[1] (closed_form) 1.0637513700958754 y[1] (numeric) 1.0637513700958765 absolute error 1.1102230246251565e-15 relative error 1.0436865754871767e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.32893987137334735 Order of pole (three term test) 32.123438503002646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3600000000000002 y[1] (closed_form) 1.0641031763220652 y[1] (numeric) 1.0641031763220663 absolute error 1.1102230246251565e-15 relative error 1.0433415192523893e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3296923359857368 Order of pole (three term test) 32.12409713542955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3610000000000002 y[1] (closed_form) 1.0644559184450006 y[1] (numeric) 1.0644559184450018 absolute error 1.1102230246251565e-15 relative error 1.0429957740730253e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3304434818292217 Order of pole (three term test) 32.12475727146741 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3620000000000002 y[1] (closed_form) 1.06480959611194 y[1] (numeric) 1.0648095961119408 absolute error 8.881784197001252e-16 relative error 8.341194735126654e-14% Desired digits 8 Estimated correct digits 12 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 0.33119330589922014 Order of pole (three term test) 32.12541890847569 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3630000000000002 y[1] (closed_form) 1.065164208969205 y[1] (numeric) 1.065164208969206 absolute error 8.881784197001252e-16 relative error 8.338417797192464e-14% Desired digits 8 Estimated correct digits 12 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 0.33194180519643635 Order of pole (three term test) 32.12608204380783 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3640000000000002 y[1] (closed_form) 1.0655197566621832 y[1] (numeric) 1.0655197566621841 absolute error 8.881784197001252e-16 relative error 8.33563539433945e-14% Desired digits 8 Estimated correct digits 12 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 0.3326889767268742 Order of pole (three term test) 32.1267466748113 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3650000000000002 y[1] (closed_form) 1.065876238835327 y[1] (numeric) 1.0658762388353278 absolute error 8.881784197001252e-16 relative error 8.332847542137065e-14% Desired digits 8 Estimated correct digits 12 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 0.33343481750184917 Order of pole (three term test) 32.127412798827564 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3660000000000002 y[1] (closed_form) 1.066233655132154 y[1] (numeric) 1.0662336551321547 absolute error 6.661338147750939e-16 relative error 6.247540692124655e-14% Desired digits 8 Estimated correct digits 12 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 0.3341793245379984 Order of pole (three term test) 32.12808041319214 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3670000000000002 y[1] (closed_form) 1.0665920051952482 y[1] (numeric) 1.0665920051952489 absolute error 6.661338147750939e-16 relative error 6.24544166401428e-14% Desired digits 8 Estimated correct digits 12 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 0.33492249485729525 Order of pole (three term test) 32.128749515234574 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3680000000000002 y[1] (closed_form) 1.0669512886662593 y[1] (numeric) 1.06695128866626 absolute error 6.661338147750939e-16 relative error 6.243338583974095e-14% Desired digits 8 Estimated correct digits 12 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 0.3356643254870592 Order of pole (three term test) 32.12942010227845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3690000000000002 y[1] (closed_form) 1.067311505185904 y[1] (numeric) 1.0673115051859046 absolute error 6.661338147750939e-16 relative error 6.241231463714682e-14% Desired digits 8 Estimated correct digits 12 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 0.33640481345996864 Order of pole (three term test) 32.130092171641415 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3700000000000002 y[1] (closed_form) 1.0676726543939656 y[1] (numeric) 1.0676726543939663 absolute error 6.661338147750939e-16 relative error 6.239120314954644e-14% Desired digits 8 Estimated correct digits 12 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 0.33714395581407286 Order of pole (three term test) 32.1307657206352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3710000000000002 y[1] (closed_form) 1.0680347359292952 y[1] (numeric) 1.0680347359292959 absolute error 6.661338147750939e-16 relative error 6.237005149420463e-14% Desired digits 8 Estimated correct digits 12 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 0.33788174959280326 Order of pole (three term test) 32.13144074656562 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3720000000000002 y[1] (closed_form) 1.0683977494298116 y[1] (numeric) 1.068397749429812 absolute error 4.440892098500626e-16 relative error 4.1565906525642405e-14% Desired digits 8 Estimated correct digits 12 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 0.33861819184498587 Order of pole (three term test) 32.13211724673256 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3730000000000002 y[1] (closed_form) 1.0687616945325005 y[1] (numeric) 1.0687616945325011 absolute error 6.661338147750939e-16 relative error 6.232762814974159e-14% Desired digits 8 Estimated correct digits 12 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 0.3393532796248526 Order of pole (three term test) 32.13279521843002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3740000000000002 y[1] (closed_form) 1.0691265708734172 y[1] (numeric) 1.0691265708734181 absolute error 8.881784197001252e-16 relative error 8.307514226070845e-14% Desired digits 8 Estimated correct digits 12 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 0.34008700999205305 Order of pole (three term test) 32.13347465894611 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3750000000000002 y[1] (closed_form) 1.069492378087686 y[1] (numeric) 1.0694923780876866 absolute error 6.661338147750939e-16 relative error 6.228504554339879e-14% Desired digits 8 Estimated correct digits 12 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 0.34081938001166723 Order of pole (three term test) 32.13415556556309 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3760000000000002 y[1] (closed_form) 1.0698591158094986 y[1] (numeric) 1.0698591158094994 absolute error 8.881784197001252e-16 relative error 8.301825974797566e-14% Desired digits 8 Estimated correct digits 12 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 0.34155038675421584 Order of pole (three term test) 32.134837935557314 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3770000000000002 y[1] (closed_form) 1.0702267836721182 y[1] (numeric) 1.0702267836721189 absolute error 6.661338147750939e-16 relative error 6.22423046159883e-14% Desired digits 8 Estimated correct digits 12 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 0.3422800272956726 Order of pole (three term test) 32.135521766199304 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3780000000000002 y[1] (closed_form) 1.0705953813078763 y[1] (numeric) 1.0705953813078772 absolute error 8.881784197001252e-16 relative error 8.296116676826083e-14% Desired digits 8 Estimated correct digits 12 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 0.3430082987174767 Order of pole (three term test) 32.13620705475375 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3790000000000002 y[1] (closed_form) 1.070964908348176 y[1] (numeric) 1.070964908348177 absolute error 8.881784197001252e-16 relative error 8.293254174593123e-14% Desired digits 8 Estimated correct digits 12 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 0.3437351981065435 Order of pole (three term test) 32.136893798479484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3800000000000002 y[1] (closed_form) 1.07133536442349 y[1] (numeric) 1.0713353644234906 absolute error 6.661338147750939e-16 relative error 6.217789843365767e-14% Desired digits 8 Estimated correct digits 12 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 0.34446072255527593 Order of pole (three term test) 32.13758199462955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3810000000000002 y[1] (closed_form) 1.0717067491633618 y[1] (numeric) 1.0717067491633627 absolute error 8.881784197001252e-16 relative error 8.287513542239892e-14% Desired digits 8 Estimated correct digits 12 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 0.34518486916157726 Order of pole (three term test) 32.138271640451144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38200000000000023 y[1] (closed_form) 1.0720790621964074 y[1] (numeric) 1.0720790621964083 absolute error 8.881784197001252e-16 relative error 8.28463544358829e-14% Desired digits 8 Estimated correct digits 12 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 0.34590763502886257 Order of pole (three term test) 32.1389627331857 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38300000000000023 y[1] (closed_form) 1.0724523031503133 y[1] (numeric) 1.0724523031503141 absolute error 8.881784197001252e-16 relative error 8.281752177613064e-14% Desired digits 8 Estimated correct digits 12 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 0.3466290172660689 Order of pole (three term test) 32.139655270068836 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38400000000000023 y[1] (closed_form) 1.0728264716518388 y[1] (numeric) 1.0728264716518396 absolute error 8.881784197001252e-16 relative error 8.278863760069142e-14% Desired digits 8 Estimated correct digits 12 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 0.347349012987668 Order of pole (three term test) 32.14034924833042 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38500000000000023 y[1] (closed_form) 1.0732015673268154 y[1] (numeric) 1.0732015673268163 absolute error 8.881784197001252e-16 relative error 8.275970206719367e-14% Desired digits 8 Estimated correct digits 12 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 0.3480676193136785 Order of pole (three term test) 32.14104466519453 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38600000000000023 y[1] (closed_form) 1.0735775898001474 y[1] (numeric) 1.0735775898001483 absolute error 8.881784197001252e-16 relative error 8.273071533334304e-14% Desired digits 8 Estimated correct digits 12 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 0.3487848333696758 Order of pole (three term test) 32.141741517879495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38700000000000023 y[1] (closed_form) 1.0739545386958125 y[1] (numeric) 1.0739545386958134 absolute error 8.881784197001252e-16 relative error 8.270167755692063e-14% Desired digits 8 Estimated correct digits 12 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 0.3495006522868047 Order of pole (three term test) 32.14243980359792 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38800000000000023 y[1] (closed_form) 1.0743324136368617 y[1] (numeric) 1.0743324136368626 absolute error 8.881784197001252e-16 relative error 8.26725888957811e-14% Desired digits 8 Estimated correct digits 12 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 0.3502150732017906 Order of pole (three term test) 32.14313951955664 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38900000000000023 y[1] (closed_form) 1.07471121424542 y[1] (numeric) 1.074711214245421 absolute error 8.881784197001252e-16 relative error 8.264344950785092e-14% Desired digits 8 Estimated correct digits 12 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 0.3509280932569504 Order of pole (three term test) 32.14384066295681 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39000000000000024 y[1] (closed_form) 1.0750909401426871 y[1] (numeric) 1.075090940142688 absolute error 8.881784197001252e-16 relative error 8.261425955112646e-14% Desired digits 8 Estimated correct digits 12 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 0.3516397096002052 Order of pole (three term test) 32.14454323099387 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39100000000000024 y[1] (closed_form) 1.0754715909489367 y[1] (numeric) 1.0754715909489379 absolute error 1.1102230246251565e-15 relative error 1.0323127397959039e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.3523499193850906 Order of pole (three term test) 32.14524722085751 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39200000000000024 y[1] (closed_form) 1.0758531662835187 y[1] (numeric) 1.0758531662835196 absolute error 8.881784197001252e-16 relative error 8.255572856361927e-14% Desired digits 8 Estimated correct digits 12 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 0.35305871977076786 Order of pole (three term test) 32.1459526297318 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39300000000000024 y[1] (closed_form) 1.076235665764857 y[1] (numeric) 1.0762356657648582 absolute error 1.1102230246251565e-15 relative error 1.0315798481145349e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.35376610792203717 Order of pole (three term test) 32.146659454795106 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39400000000000024 y[1] (closed_form) 1.076619089010453 y[1] (numeric) 1.076619089010454 absolute error 8.881784197001252e-16 relative error 8.249699719856089e-14% Desired digits 8 Estimated correct digits 12 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 0.3544720810093462 Order of pole (three term test) 32.14736769322011 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39500000000000024 y[1] (closed_form) 1.077003435636883 y[1] (numeric) 1.0770034356368836 absolute error 6.661338147750939e-16 relative error 6.185066757759947e-14% Desired digits 8 Estimated correct digits 12 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 0.3551766362088041 Order of pole (three term test) 32.148077342173885 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39600000000000024 y[1] (closed_form) 1.0773887052598001 y[1] (numeric) 1.0773887052598008 absolute error 6.661338147750939e-16 relative error 6.182855004169208e-14% Desired digits 8 Estimated correct digits 12 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 0.35587977070219057 Order of pole (three term test) 32.148788398817814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39700000000000024 y[1] (closed_form) 1.0777748974939354 y[1] (numeric) 1.0777748974939358 absolute error 4.440892098500626e-16 relative error 4.120426360668337e-14% Desired digits 8 Estimated correct digits 12 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 0.3565814816769689 Order of pole (three term test) 32.14950086030768 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39800000000000024 y[1] (closed_form) 1.0781620119530961 y[1] (numeric) 1.0781620119530966 absolute error 4.440892098500626e-16 relative error 4.118946920097775e-14% Desired digits 8 Estimated correct digits 12 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 0.35728176632629566 Order of pole (three term test) 32.15021472379364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39900000000000024 y[1] (closed_form) 1.0785500482501682 y[1] (numeric) 1.0785500482501686 absolute error 4.440892098500626e-16 relative error 4.117465022328354e-14% Desired digits 8 Estimated correct digits 12 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 0.3579806218490336 Order of pole (three term test) 32.15092998642024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.40000000000000024 y[1] (closed_form) 1.078939005997115 y[1] (numeric) 1.0789390059971156 absolute error 6.661338147750939e-16 relative error 6.173971012934861e-14% Desired digits 8 Estimated correct digits 12 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 0.3586780454497616 Order of pole (three term test) 32.151646645326416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.40100000000000025 y[1] (closed_form) 1.0793288848049793 y[1] (numeric) 1.0793288848049798 absolute error 4.440892098500626e-16 relative error 4.1144938869147725e-14% Desired digits 8 Estimated correct digits 12 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 0.359374034338786 Order of pole (three term test) 32.15236469764556 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.40200000000000025 y[1] (closed_form) 1.0797196842838819 y[1] (numeric) 1.0797196842838825 absolute error 6.661338147750939e-16 relative error 6.169506997706571e-14% Desired digits 8 Estimated correct digits 12 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 0.3600685857321521 Order of pole (three term test) 32.15308414050544 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.40300000000000025 y[1] (closed_form) 1.0801114040430235 y[1] (numeric) 1.0801114040430242 absolute error 6.661338147750939e-16 relative error 6.167269526843734e-14% Desired digits 8 Estimated correct digits 12 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 0.36076169685165527 Order of pole (three term test) 32.1538049710283 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.40400000000000025 y[1] (closed_form) 1.0805040436906848 y[1] (numeric) 1.0805040436906852 absolute error 4.440892098500626e-16 relative error 4.110018953128432e-14% Desired digits 8 Estimated correct digits 12 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 0.3614533649248519 Order of pole (three term test) 32.15452718633081 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.40500000000000025 y[1] (closed_form) 1.0808976028342254 y[1] (numeric) 1.0808976028342259 absolute error 4.440892098500626e-16 relative error 4.1085224787770346e-14% Desired digits 8 Estimated correct digits 12 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 0.36214358718507134 Order of pole (three term test) 32.15525078352413 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.40600000000000025 y[1] (closed_form) 1.0812920810800866 y[1] (numeric) 1.0812920810800872 absolute error 6.661338147750939e-16 relative error 6.160535404177775e-14% Desired digits 8 Estimated correct digits 12 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 0.36283236087142484 Order of pole (three term test) 32.15597575971384 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.40700000000000025 y[1] (closed_form) 1.0816874780337904 y[1] (numeric) 1.0816874780337908 absolute error 4.440892098500626e-16 relative error 4.1055223330984136e-14% Desired digits 8 Estimated correct digits 12 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 0.3635196832288184 Order of pole (three term test) 32.156702112000055 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.40800000000000025 y[1] (closed_form) 1.0820837932999394 y[1] (numeric) 1.0820837932999399 absolute error 4.440892098500626e-16 relative error 4.104018677664151e-14% Desired digits 8 Estimated correct digits 12 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 0.3642055515079636 Order of pole (three term test) 32.157429837477366 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.40900000000000025 y[1] (closed_form) 1.0824810264822187 y[1] (numeric) 1.082481026482219 absolute error 4.440892098500626e-16 relative error 4.1025126444316246e-14% Desired digits 8 Estimated correct digits 12 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 0.3648899629653886 Order of pole (three term test) 32.15815893323487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41000000000000025 y[1] (closed_form) 1.082879177183395 y[1] (numeric) 1.0828791771833954 absolute error 4.440892098500626e-16 relative error 4.101004241351778e-14% Desired digits 8 Estimated correct digits 12 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 0.3655729148634483 Order of pole (three term test) 32.158889396356194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41100000000000025 y[1] (closed_form) 1.0832782450053178 y[1] (numeric) 1.0832782450053182 absolute error 4.440892098500626e-16 relative error 4.099493476377185e-14% Desired digits 8 Estimated correct digits 12 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 0.3662544044703357 Order of pole (three term test) 32.159621223919466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41200000000000025 y[1] (closed_form) 1.083678229548919 y[1] (numeric) 1.0836782295489196 absolute error 6.661338147750939e-16 relative error 6.146970536192944e-14% Desired digits 8 Estimated correct digits 12 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 0.3669344290600939 Order of pole (three term test) 32.1603544129974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41300000000000026 y[1] (closed_form) 1.0840791304142146 y[1] (numeric) 1.084079130414215 absolute error 4.440892098500626e-16 relative error 4.096464892561681e-14% Desired digits 8 Estimated correct digits 12 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 0.36761298591262487 Order of pole (three term test) 32.16108896065722 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41400000000000026 y[1] (closed_form) 1.0844809472003032 y[1] (numeric) 1.0844809472003036 absolute error 4.440892098500626e-16 relative error 4.0949470896332815e-14% Desired digits 8 Estimated correct digits 12 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 0.3682900723137023 Order of pole (three term test) 32.16182486396074 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41500000000000026 y[1] (closed_form) 1.0848836795053685 y[1] (numeric) 1.084883679505369 absolute error 4.440892098500626e-16 relative error 4.093426956634986e-14% Desired digits 8 Estimated correct digits 12 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 0.36896568555498166 Order of pole (three term test) 32.16256211996436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41600000000000026 y[1] (closed_form) 1.0852873269266778 y[1] (numeric) 1.0852873269266783 absolute error 4.440892098500626e-16 relative error 4.0919045015262154e-14% Desired digits 8 Estimated correct digits 12 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 0.3696398229340105 Order of pole (three term test) 32.163300725719054 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41700000000000026 y[1] (closed_form) 1.085691889060584 y[1] (numeric) 1.0856918890605847 absolute error 6.661338147750939e-16 relative error 6.135569598401247e-14% Desired digits 8 Estimated correct digits 12 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 0.3703124817542408 Order of pole (three term test) 32.1640406782704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41800000000000026 y[1] (closed_form) 1.0860973655025252 y[1] (numeric) 1.0860973655025257 absolute error 4.440892098500626e-16 relative error 4.08885265682039e-14% Desired digits 8 Estimated correct digits 12 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 0.3709836593250376 Order of pole (three term test) 32.16478197465857 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41900000000000026 y[1] (closed_form) 1.0865037558470245 y[1] (numeric) 1.086503755847025 absolute error 4.440892098500626e-16 relative error 4.087323283147386e-14% Desired digits 8 Estimated correct digits 12 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 0.3716533529616918 Order of pole (three term test) 32.16552461191841 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42000000000000026 y[1] (closed_form) 1.0869110596876919 y[1] (numeric) 1.0869110596876923 absolute error 4.440892098500626e-16 relative error 4.085791619211835e-14% Desired digits 8 Estimated correct digits 12 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 0.3723215599854298 Order of pole (three term test) 32.166268587079344 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42100000000000026 y[1] (closed_form) 1.0873192766172235 y[1] (numeric) 1.087319276617224 absolute error 4.440892098500626e-16 relative error 4.084257672977855e-14% Desired digits 8 Estimated correct digits 12 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 0.37298827772342436 Order of pole (three term test) 32.167013897165496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42200000000000026 y[1] (closed_form) 1.0877284062274024 y[1] (numeric) 1.0877284062274029 absolute error 4.440892098500626e-16 relative error 4.082721452410249e-14% Desired digits 8 Estimated correct digits 12 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 0.373653503508805 Order of pole (three term test) 32.167760539195605 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42300000000000026 y[1] (closed_form) 1.088138448109099 y[1] (numeric) 1.0881384481090994 absolute error 4.440892098500626e-16 relative error 4.0811829654744205e-14% Desired digits 8 Estimated correct digits 12 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 0.37431723468067 Order of pole (three term test) 32.168508510183116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42400000000000027 y[1] (closed_form) 1.0885494018522717 y[1] (numeric) 1.0885494018522721 absolute error 4.440892098500626e-16 relative error 4.0796422201362843e-14% Desired digits 8 Estimated correct digits 12 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 0.37497946858409503 Order of pole (three term test) 32.16925780713615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42500000000000027 y[1] (closed_form) 1.0889612670459665 y[1] (numeric) 1.088961267045967 absolute error 4.440892098500626e-16 relative error 4.078099224362192e-14% Desired digits 8 Estimated correct digits 12 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 0.3756402025701465 Order of pole (three term test) 32.17000842705751 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42600000000000027 y[1] (closed_form) 1.089374043278318 y[1] (numeric) 1.0893740432783188 absolute error 6.661338147750939e-16 relative error 6.114830979178261e-14% Desired digits 8 Estimated correct digits 12 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 0.376299433995888 Order of pole (three term test) 32.17076036694473 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42700000000000027 y[1] (closed_form) 1.089787730136551 y[1] (numeric) 1.0897877301365515 absolute error 4.440892098500626e-16 relative error 4.0750065133731864e-14% Desired digits 8 Estimated correct digits 12 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 0.3769571602243952 Order of pole (three term test) 32.17151362379003 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42800000000000027 y[1] (closed_form) 1.0902023272069776 y[1] (numeric) 1.090202327206978 absolute error 4.440892098500626e-16 relative error 4.073456814092373e-14% Desired digits 8 Estimated correct digits 12 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 0.3776133786247647 Order of pole (three term test) 32.1722681945804 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42900000000000027 y[1] (closed_form) 1.0906178340750012 y[1] (numeric) 1.0906178340750017 absolute error 4.440892098500626e-16 relative error 4.071904896243635e-14% Desired digits 8 Estimated correct digits 12 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 0.37826808657212263 Order of pole (three term test) 32.17302407629756 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.43000000000000027 y[1] (closed_form) 1.091034250325115 y[1] (numeric) 1.0910342503251154 absolute error 4.440892098500626e-16 relative error 4.0703507677942233e-14% Desired digits 8 Estimated correct digits 12 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 0.3789212814476387 Order of pole (three term test) 32.173781265917974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.43100000000000027 y[1] (closed_form) 1.0914515755409027 y[1] (numeric) 1.091451575540903 absolute error 4.440892098500626e-16 relative error 4.0687944367113164e-14% Desired digits 8 Estimated correct digits 12 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 0.37957296063853413 Order of pole (three term test) 32.17453976041289 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4320000000000003 y[1] (closed_form) 1.0918698093050392 y[1] (numeric) 1.0918698093050396 absolute error 4.440892098500626e-16 relative error 4.067235910961945e-14% Desired digits 8 Estimated correct digits 12 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 0.3802231215380932 Order of pole (three term test) 32.175299556748335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4330000000000003 y[1] (closed_form) 1.0922889511992906 y[1] (numeric) 1.092288951199291 absolute error 4.440892098500626e-16 relative error 4.065675198512903e-14% Desired digits 8 Estimated correct digits 12 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 0.3808717615456732 Order of pole (three term test) 32.176060651885116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4340000000000003 y[1] (closed_form) 1.0927090008045153 y[1] (numeric) 1.0927090008045157 absolute error 4.440892098500626e-16 relative error 4.064112307330667e-14% Desired digits 8 Estimated correct digits 12 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 0.3815188780667146 Order of pole (three term test) 32.17682304277886 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4350000000000003 y[1] (closed_form) 1.0931299577006635 y[1] (numeric) 1.093129957700664 absolute error 4.440892098500626e-16 relative error 4.062547245381317e-14% Desired digits 8 Estimated correct digits 12 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 0.3821644685127528 Order of pole (three term test) 32.17758672638 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4360000000000003 y[1] (closed_form) 1.0935518214667783 y[1] (numeric) 1.0935518214667788 absolute error 4.440892098500626e-16 relative error 4.060980020630452e-14% Desired digits 8 Estimated correct digits 12 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 0.38280853030142625 Order of pole (three term test) 32.17835169963381 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4370000000000003 y[1] (closed_form) 1.0939745916809964 y[1] (numeric) 1.0939745916809966 absolute error 2.220446049250313e-16 relative error 2.029705320521554e-14% Desired digits 8 Estimated correct digits 12 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 0.3834510608564889 Order of pole (three term test) 32.17911795948038 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4380000000000003 y[1] (closed_form) 1.094398267920547 y[1] (numeric) 1.0943982679205475 absolute error 4.440892098500626e-16 relative error 4.0578391145836806e-14% Desired digits 8 Estimated correct digits 12 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 0.38409205760781956 Order of pole (three term test) 32.179885502854695 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4390000000000003 y[1] (closed_form) 1.0948228497617545 y[1] (numeric) 1.094822849761755 absolute error 4.440892098500626e-16 relative error 4.0562654492158374e-14% Desired digits 8 Estimated correct digits 12 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 0.3847315179914317 Order of pole (three term test) 32.18065432668657 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4400000000000003 y[1] (closed_form) 1.0952483367800367 y[1] (numeric) 1.0952483367800372 absolute error 4.440892098500626e-16 relative error 4.054689652902444e-14% Desired digits 8 Estimated correct digits 12 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 0.3853694394494846 Order of pole (three term test) 32.18142442790071 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4410000000000003 y[1] (closed_form) 1.0956747285499067 y[1] (numeric) 1.095674728549907 absolute error 4.440892098500626e-16 relative error 4.05311173360548e-14% Desired digits 8 Estimated correct digits 12 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 0.386005819430294 Order of pole (three term test) 32.18219580341671 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4420000000000003 y[1] (closed_form) 1.0961020246449729 y[1] (numeric) 1.0961020246449733 absolute error 4.440892098500626e-16 relative error 4.051531699285958e-14% Desired digits 8 Estimated correct digits 12 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 0.38664065538834047 Order of pole (three term test) 32.18296845014908 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4430000000000003 y[1] (closed_form) 1.096530224637939 y[1] (numeric) 1.0965302246379394 absolute error 4.440892098500626e-16 relative error 4.0499495579038464e-14% Desired digits 8 Estimated correct digits 12 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 0.38727394478428057 Order of pole (three term test) 32.18374236500723 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4440000000000003 y[1] (closed_form) 1.0969593281006051 y[1] (numeric) 1.0969593281006056 absolute error 4.440892098500626e-16 relative error 4.048365317417985e-14% Desired digits 8 Estimated correct digits 12 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 0.3879056850849579 Order of pole (three term test) 32.18451754489549 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4450000000000003 y[1] (closed_form) 1.097389334603868 y[1] (numeric) 1.0973893346038683 absolute error 4.440892098500626e-16 relative error 4.046778985786011e-14% Desired digits 8 Estimated correct digits 12 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 0.38853587376341203 Order of pole (three term test) 32.18529398671315 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4460000000000003 y[1] (closed_form) 1.0978202437177211 y[1] (numeric) 1.0978202437177214 absolute error 2.220446049250313e-16 relative error 2.0225952854821367e-14% Desired digits 8 Estimated correct digits 12 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 0.3891645082988893 Order of pole (three term test) 32.18607168735445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4470000000000003 y[1] (closed_form) 1.0982520550112551 y[1] (numeric) 1.0982520550112556 absolute error 4.440892098500626e-16 relative error 4.0436000809077615e-14% Desired digits 8 Estimated correct digits 12 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 0.38979158617685217 Order of pole (three term test) 32.186850643708574 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4480000000000003 y[1] (closed_form) 1.0986847680526592 y[1] (numeric) 1.0986847680526595 absolute error 2.220446049250313e-16 relative error 2.021003761785008e-14% Desired digits 8 Estimated correct digits 12 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 0.39041710488899034 Order of pole (three term test) 32.187630852659716 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4490000000000003 y[1] (closed_form) 1.0991183824092199 y[1] (numeric) 1.0991183824092203 absolute error 4.440892098500626e-16 relative error 4.040412906903061e-14% Desired digits 8 Estimated correct digits 12 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 0.39104106193322924 Order of pole (three term test) 32.18841231108702 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4500000000000003 y[1] (closed_form) 1.0995528976473232 y[1] (numeric) 1.0995528976473237 absolute error 4.440892098500626e-16 relative error 4.038816238857317e-14% Desired digits 8 Estimated correct digits 12 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 0.39166345481374193 Order of pole (three term test) 32.18919501586466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4510000000000003 y[1] (closed_form) 1.099988313332454 y[1] (numeric) 1.0999883133324544 absolute error 4.440892098500626e-16 relative error 4.037217527381527e-14% Desired digits 8 Estimated correct digits 12 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 0.39228428104095747 Order of pole (three term test) 32.18997896386184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4520000000000003 y[1] (closed_form) 1.1004246290291961 y[1] (numeric) 1.1004246290291968 absolute error 6.661338147750939e-16 relative error 6.053425170634019e-14% Desired digits 8 Estimated correct digits 12 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 0.3929035381315719 Order of pole (three term test) 32.19076415194274 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4530000000000003 y[1] (closed_form) 1.1008618443012343 y[1] (numeric) 1.100861844301235 absolute error 6.661338147750939e-16 relative error 6.05102100888889e-14% Desired digits 8 Estimated correct digits 12 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 0.39352122360855774 Order of pole (three term test) 32.19155057696663 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4540000000000003 y[1] (closed_form) 1.1012999587113534 y[1] (numeric) 1.101299958711354 absolute error 6.661338147750939e-16 relative error 6.048613817751764e-14% Desired digits 8 Estimated correct digits 12 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 0.39413733500117365 Order of pole (three term test) 32.19233823578778 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4550000000000003 y[1] (closed_form) 1.101738971821439 y[1] (numeric) 1.1017389718214396 absolute error 6.661338147750939e-16 relative error 6.04620360913452e-14% Desired digits 8 Estimated correct digits 12 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 0.3947518698449755 Order of pole (three term test) 32.19312712525559 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4560000000000003 y[1] (closed_form) 1.1021788831924777 y[1] (numeric) 1.1021788831924784 absolute error 6.661338147750939e-16 relative error 6.043790394945939e-14% Desired digits 8 Estimated correct digits 12 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 0.39536482568182385 Order of pole (three term test) 32.193917242214496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4570000000000003 y[1] (closed_form) 1.1026196923845586 y[1] (numeric) 1.1026196923845593 absolute error 6.661338147750939e-16 relative error 6.041374187091588e-14% Desired digits 8 Estimated correct digits 12 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 0.39597620005989687 Order of pole (three term test) 32.19470858350402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4580000000000003 y[1] (closed_form) 1.1030613989568723 y[1] (numeric) 1.103061398956873 absolute error 6.661338147750939e-16 relative error 6.038954997473704e-14% Desired digits 8 Estimated correct digits 12 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 0.3965859905336974 Order of pole (three term test) 32.195501145958794 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4590000000000003 y[1] (closed_form) 1.1035040024677123 y[1] (numeric) 1.103504002467713 absolute error 6.661338147750939e-16 relative error 6.036532837991084e-14% Desired digits 8 Estimated correct digits 12 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 0.39719419466406497 Order of pole (three term test) 32.196294926408584 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4600000000000003 y[1] (closed_form) 1.103947502474475 y[1] (numeric) 1.1039475024744758 absolute error 8.881784197001252e-16 relative error 8.045476960718622e-14% Desired digits 8 Estimated correct digits 12 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 0.39780081001818324 Order of pole (three term test) 32.19708992167827 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4610000000000003 y[1] (closed_form) 1.1043918985336605 y[1] (numeric) 1.1043918985336614 absolute error 8.881784197001252e-16 relative error 8.04223954267856e-14% Desired digits 8 Estimated correct digits 12 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 0.3984058341695918 Order of pole (three term test) 32.19788612858786 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4620000000000003 y[1] (closed_form) 1.104837190200873 y[1] (numeric) 1.1048371902008738 absolute error 8.881784197001252e-16 relative error 8.038998212384971e-14% Desired digits 8 Estimated correct digits 12 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 0.39900926469819503 Order of pole (three term test) 32.198683543952534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4630000000000003 y[1] (closed_form) 1.1052833770308206 y[1] (numeric) 1.1052833770308215 absolute error 8.881784197001252e-16 relative error 8.035752985683043e-14% Desired digits 8 Estimated correct digits 12 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 0.39961109919027166 Order of pole (three term test) 32.199482164582626 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4640000000000003 y[1] (closed_form) 1.1057304585773164 y[1] (numeric) 1.1057304585773176 absolute error 1.1102230246251565e-15 relative error 1.0040629848015767e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.40021133523848373 Order of pole (three term test) 32.20028198728367 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4650000000000003 y[1] (closed_form) 1.1061784343932795 y[1] (numeric) 1.1061784343932806 absolute error 1.1102230246251565e-15 relative error 1.0036563633010034e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.40080997044188904 Order of pole (three term test) 32.20108300885635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4660000000000003 y[1] (closed_form) 1.1066273040307335 y[1] (numeric) 1.1066273040307346 absolute error 1.1102230246251565e-15 relative error 1.0032492606872486e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.40140700240594673 Order of pole (three term test) 32.20188522609661 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4670000000000003 y[1] (closed_form) 1.1070770670408092 y[1] (numeric) 1.10707706704081 absolute error 8.881784197001252e-16 relative error 8.022733431505406e-14% Desired digits 8 Estimated correct digits 12 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 0.4020024287425296 Order of pole (three term test) 32.20268863579555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4680000000000003 y[1] (closed_form) 1.1075277229737432 y[1] (numeric) 1.1075277229737441 absolute error 8.881784197001252e-16 relative error 8.019468960247253e-14% Desired digits 8 Estimated correct digits 12 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 0.4025962470699341 Order of pole (three term test) 32.20349323473957 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4690000000000003 y[1] (closed_form) 1.10797927137888 y[1] (numeric) 1.107979271378881 absolute error 8.881784197001252e-16 relative error 8.016200687534409e-14% Desired digits 8 Estimated correct digits 12 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 0.4031884550128869 Order of pole (three term test) 32.20429901971025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4700000000000003 y[1] (closed_form) 1.1084317118046711 y[1] (numeric) 1.108431711804672 absolute error 8.881784197001252e-16 relative error 8.012928629171527e-14% Desired digits 8 Estimated correct digits 12 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 0.4037790502025573 Order of pole (three term test) 32.20510598748445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4710000000000003 y[1] (closed_form) 1.1088850437986761 y[1] (numeric) 1.108885043798677 absolute error 8.881784197001252e-16 relative error 8.009652800956875e-14% Desired digits 8 Estimated correct digits 12 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 0.40436803027656526 Order of pole (three term test) 32.205914134834316 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4720000000000003 y[1] (closed_form) 1.109339266907563 y[1] (numeric) 1.109339266907564 absolute error 8.881784197001252e-16 relative error 8.006373218682195e-14% Desired digits 8 Estimated correct digits 12 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 0.4049553928789913 Order of pole (three term test) 32.20672345852725 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4730000000000003 y[1] (closed_form) 1.109794380677109 y[1] (numeric) 1.1097943806771098 absolute error 8.881784197001252e-16 relative error 8.003089898132561e-14% Desired digits 8 Estimated correct digits 12 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 0.405541135660386 Order of pole (three term test) 32.20753395532595 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4740000000000003 y[1] (closed_form) 1.1102503846521998 y[1] (numeric) 1.1102503846522007 absolute error 8.881784197001252e-16 relative error 7.999802855086229e-14% Desired digits 8 Estimated correct digits 12 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 0.4061252562777781 Order of pole (three term test) 32.208345621988435 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4750000000000003 y[1] (closed_form) 1.110707278376832 y[1] (numeric) 1.1107072783768328 absolute error 8.881784197001252e-16 relative error 7.996512105314494e-14% Desired digits 8 Estimated correct digits 12 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 0.4067077523946871 Order of pole (three term test) 32.20915845526806 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4760000000000003 y[1] (closed_form) 1.1111650613941115 y[1] (numeric) 1.1111650613941124 absolute error 8.881784197001252e-16 relative error 7.993217664581548e-14% Desired digits 8 Estimated correct digits 12 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 0.40728862168112856 Order of pole (three term test) 32.209972451913465 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4770000000000003 y[1] (closed_form) 1.1116237332462557 y[1] (numeric) 1.1116237332462566 absolute error 8.881784197001252e-16 relative error 7.989919548644333e-14% Desired digits 8 Estimated correct digits 12 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 0.4078678618136268 Order of pole (three term test) 32.21078760866868 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4780000000000003 y[1] (closed_form) 1.1120832934745928 y[1] (numeric) 1.1120832934745934 absolute error 6.661338147750939e-16 relative error 5.989963329939303e-14% Desired digits 8 Estimated correct digits 12 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 0.4084454704752211 Order of pole (three term test) 32.21160392227308 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4790000000000003 y[1] (closed_form) 1.112543741619562 y[1] (numeric) 1.112543741619563 absolute error 8.881784197001252e-16 relative error 7.983312354147786e-14% Desired digits 8 Estimated correct digits 12 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 0.4090214453554783 Order of pole (three term test) 32.2124213894614 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4800000000000003 y[1] (closed_form) 1.1130050772207158 y[1] (numeric) 1.1130050772207167 absolute error 8.881784197001252e-16 relative error 7.980003307064824e-14% Desired digits 8 Estimated correct digits 12 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 0.4095957841504994 Order of pole (three term test) 32.21324000696377 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4810000000000003 y[1] (closed_form) 1.1134672998167185 y[1] (numeric) 1.1134672998167194 absolute error 8.881784197001252e-16 relative error 7.976690647730052e-14% Desired digits 8 Estimated correct digits 12 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 0.41016848456293004 Order of pole (three term test) 32.21405977150574 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4820000000000003 y[1] (closed_form) 1.1139304089453477 y[1] (numeric) 1.1139304089453486 absolute error 8.881784197001252e-16 relative error 7.973374391862046e-14% Desired digits 8 Estimated correct digits 12 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 0.4107395443019692 Order of pole (three term test) 32.21488067980824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4830000000000003 y[1] (closed_form) 1.114394404143494 y[1] (numeric) 1.1143944041434948 absolute error 6.661338147750939e-16 relative error 5.977540916378469e-14% Desired digits 8 Estimated correct digits 12 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 0.41130896108337917 Order of pole (three term test) 32.215702728587644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4840000000000003 y[1] (closed_form) 1.1148592849471624 y[1] (numeric) 1.114859284947163 absolute error 6.661338147750939e-16 relative error 5.975048365020028e-14% Desired digits 8 Estimated correct digits 12 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 0.41187673262949276 Order of pole (three term test) 32.21652591455575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4850000000000003 y[1] (closed_form) 1.1153250508914718 y[1] (numeric) 1.1153250508914727 absolute error 8.881784197001252e-16 relative error 7.963404202122155e-14% Desired digits 8 Estimated correct digits 12 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 0.41244285666922514 Order of pole (three term test) 32.217350234419825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4860000000000003 y[1] (closed_form) 1.1157917015106569 y[1] (numeric) 1.1157917015106578 absolute error 8.881784197001252e-16 relative error 7.960073717143005e-14% Desired digits 8 Estimated correct digits 12 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 0.41300733093808084 Order of pole (three term test) 32.21817568488258 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4870000000000003 y[1] (closed_form) 1.1162592363380666 y[1] (numeric) 1.1162592363380675 absolute error 8.881784197001252e-16 relative error 7.956739714099301e-14% Desired digits 8 Estimated correct digits 12 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 0.4135701531781634 Order of pole (three term test) 32.21900226264223 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4880000000000003 y[1] (closed_form) 1.1167276549061664 y[1] (numeric) 1.1167276549061673 absolute error 8.881784197001252e-16 relative error 7.953402208658966e-14% Desired digits 8 Estimated correct digits 12 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 0.41413132113818496 Order of pole (three term test) 32.21982996439244 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4890000000000003 y[1] (closed_form) 1.1171969567465376 y[1] (numeric) 1.1171969567465385 absolute error 8.881784197001252e-16 relative error 7.950061216481002e-14% Desired digits 8 Estimated correct digits 12 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 0.4146908325734738 Order of pole (three term test) 32.220658786822426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4900000000000003 y[1] (closed_form) 1.1176671413898787 y[1] (numeric) 1.1176671413898795 absolute error 8.881784197001252e-16 relative error 7.946716753215345e-14% Desired digits 8 Estimated correct digits 12 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 0.4152486852459853 Order of pole (three term test) 32.22148872661689 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4910000000000003 y[1] (closed_form) 1.1181382083660047 y[1] (numeric) 1.1181382083660056 absolute error 8.881784197001252e-16 relative error 7.943368834502739e-14% Desired digits 8 Estimated correct digits 12 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 0.41580487692430956 Order of pole (three term test) 32.22231978045608 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4920000000000003 y[1] (closed_form) 1.118610157203849 y[1] (numeric) 1.1186101572038498 absolute error 8.881784197001252e-16 relative error 7.940017475974597e-14% Desired digits 8 Estimated correct digits 12 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 0.41635940538368066 Order of pole (three term test) 32.22315194501578 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4930000000000003 y[1] (closed_form) 1.1190829874314625 y[1] (numeric) 1.1190829874314634 absolute error 8.881784197001252e-16 relative error 7.936662693252864e-14% Desired digits 8 Estimated correct digits 12 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 0.41691226840598544 Order of pole (three term test) 32.22398521696732 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4940000000000003 y[1] (closed_form) 1.119556698576015 y[1] (numeric) 1.1195566985760161 absolute error 1.1102230246251565e-15 relative error 9.916630627437359e-14% Desired digits 8 Estimated correct digits 12 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 0.41746346377977195 Order of pole (three term test) 32.22481959297763 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49500000000000033 y[1] (closed_form) 1.1200312901637959 y[1] (numeric) 1.120031290163797 absolute error 1.1102230246251565e-15 relative error 9.912428647085343e-14% Desired digits 8 Estimated correct digits 12 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 0.4180129893002603 Order of pole (three term test) 32.225655069709205 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49600000000000033 y[1] (closed_form) 1.1205067617202134 y[1] (numeric) 1.1205067617202142 absolute error 8.881784197001252e-16 relative error 7.926577956000772e-14% Desired digits 8 Estimated correct digits 12 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 0.4185608427693488 Order of pole (three term test) 32.22649164382013 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49700000000000033 y[1] (closed_form) 1.1209831127697956 y[1] (numeric) 1.1209831127697965 absolute error 8.881784197001252e-16 relative error 7.923209632530129e-14% Desired digits 8 Estimated correct digits 12 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 0.41910702199562444 Order of pole (three term test) 32.22732931196411 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49800000000000033 y[1] (closed_form) 1.1214603428361918 y[1] (numeric) 1.1214603428361927 absolute error 8.881784197001252e-16 relative error 7.919837962828961e-14% Desired digits 8 Estimated correct digits 12 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 0.4196515247943706 Order of pole (three term test) 32.228168070790495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49900000000000033 y[1] (closed_form) 1.1219384514421717 y[1] (numeric) 1.1219384514421729 absolute error 1.1102230246251565e-15 relative error 9.895578703074524e-14% Desired digits 8 Estimated correct digits 12 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 0.4201943489875779 Order of pole (three term test) 32.229007916944234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5000000000000003 y[1] (closed_form) 1.1224174381096275 y[1] (numeric) 1.1224174381096284 absolute error 8.881784197001252e-16 relative error 7.913084646974062e-14% Desired digits 8 Estimated correct digits 12 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 0.4207354924039487 Order of pole (three term test) 32.22984884706593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5010000000000003 y[1] (closed_form) 1.1228973023595716 y[1] (numeric) 1.1228973023595727 absolute error 1.1102230246251565e-15 relative error 9.887128789892163e-14% Desired digits 8 Estimated correct digits 12 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 0.42127495287891065 Order of pole (three term test) 32.230690857791885 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5020000000000003 y[1] (closed_form) 1.1233780437121408 y[1] (numeric) 1.1233780437121417 absolute error 8.881784197001252e-16 relative error 7.906318132809402e-14% Desired digits 8 Estimated correct digits 12 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 0.4218127282546234 Order of pole (three term test) 32.231533945754045 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5030000000000003 y[1] (closed_form) 1.1238596616865928 y[1] (numeric) 1.1238596616865937 absolute error 8.881784197001252e-16 relative error 7.902929965181086e-14% Desired digits 8 Estimated correct digits 12 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 0.42234881637998517 Order of pole (three term test) 32.23237810758007 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5040000000000003 y[1] (closed_form) 1.12434215580131 y[1] (numeric) 1.1243421558013111 absolute error 1.1102230246251565e-15 relative error 9.874423180672339e-14% Desired digits 8 Estimated correct digits 12 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 0.42288321511064486 Order of pole (three term test) 32.23322333989331 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5050000000000003 y[1] (closed_form) 1.1248255255737987 y[1] (numeric) 1.1248255255737998 absolute error 1.1102230246251565e-15 relative error 9.870179857972257e-14% Desired digits 8 Estimated correct digits 12 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 0.4234159223090081 Order of pole (three term test) 32.23406963931282 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5060000000000003 y[1] (closed_form) 1.125309770520689 y[1] (numeric) 1.1253097705206898 absolute error 8.881784197001252e-16 relative error 7.892746006187778e-14% Desired digits 8 Estimated correct digits 12 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 0.42394693584424603 Order of pole (three term test) 32.23491700245343 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5070000000000003 y[1] (closed_form) 1.1257948901577357 y[1] (numeric) 1.1257948901577366 absolute error 8.881784197001252e-16 relative error 7.889344919443381e-14% Desired digits 8 Estimated correct digits 12 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 0.424476253592306 Order of pole (three term test) 32.23576542592568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5080000000000003 y[1] (closed_form) 1.1262808839998195 y[1] (numeric) 1.1262808839998204 absolute error 8.881784197001252e-16 relative error 7.88594064160879e-14% Desired digits 8 Estimated correct digits 12 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 0.42500387343591806 Order of pole (three term test) 32.23661490633586 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5090000000000003 y[1] (closed_form) 1.1267677515609464 y[1] (numeric) 1.1267677515609473 absolute error 8.881784197001252e-16 relative error 7.882533188136632e-14% Desired digits 8 Estimated correct digits 12 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 0.4255297932646026 Order of pole (three term test) 32.23746544028607 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5100000000000003 y[1] (closed_form) 1.1272554923542488 y[1] (numeric) 1.12725549235425 absolute error 1.1102230246251565e-15 relative error 9.848903218084835e-14% Desired digits 8 Estimated correct digits 12 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 0.42605401097468154 Order of pole (three term test) 32.238317024374176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5110000000000003 y[1] (closed_form) 1.1277441058919864 y[1] (numeric) 1.1277441058919875 absolute error 1.1102230246251565e-15 relative error 9.844636020039567e-14% Desired digits 8 Estimated correct digits 12 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 0.4265765244692851 Order of pole (three term test) 32.23916965519383 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5120000000000003 y[1] (closed_form) 1.1282335916855453 y[1] (numeric) 1.1282335916855464 absolute error 1.1102230246251565e-15 relative error 9.840364910306548e-14% Desired digits 8 Estimated correct digits 12 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 0.4270973316583588 Order of pole (three term test) 32.24002332933452 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5130000000000003 y[1] (closed_form) 1.12872394924544 y[1] (numeric) 1.128723949245441 absolute error 1.1102230246251565e-15 relative error 9.836089908142276e-14% Desired digits 8 Estimated correct digits 12 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 0.4276164304586754 Order of pole (three term test) 32.240878043381535 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5140000000000003 y[1] (closed_form) 1.1292151780813127 y[1] (numeric) 1.1292151780813138 absolute error 1.1102230246251565e-15 relative error 9.831811032788043e-14% Desired digits 8 Estimated correct digits 12 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 0.428133818793841 Order of pole (three term test) 32.24173379391604 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5150000000000003 y[1] (closed_form) 1.1297072777019346 y[1] (numeric) 1.129707277701936 absolute error 1.3322676295501878e-15 relative error 1.1793033964163745e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.42864949459430185 Order of pole (three term test) 32.24259057751502 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5160000000000003 y[1] (closed_form) 1.1302002476152064 y[1] (numeric) 1.1302002476152078 absolute error 1.3322676295501878e-15 relative error 1.178789008727751e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4291634557973561 Order of pole (three term test) 32.243448390751354 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5170000000000003 y[1] (closed_form) 1.1306940873281583 y[1] (numeric) 1.1306940873281595 absolute error 1.1102230246251565e-15 relative error 9.81895135976721e-14% Desired digits 8 Estimated correct digits 12 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 0.4296757003471591 Order of pole (three term test) 32.24430723019378 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5180000000000003 y[1] (closed_form) 1.1311887963469505 y[1] (numeric) 1.1311887963469514 absolute error 8.881784197001252e-16 relative error 7.85172574700527e-14% Desired digits 8 Estimated correct digits 12 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 0.43018622619473357 Order of pole (three term test) 32.24516709240694 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5190000000000003 y[1] (closed_form) 1.1316843741768736 y[1] (numeric) 1.1316843741768745 absolute error 8.881784197001252e-16 relative error 7.848287384423227e-14% Desired digits 8 Estimated correct digits 12 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 0.430695031297977 Order of pole (three term test) 32.24602797395139 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5200000000000004 y[1] (closed_form) 1.1321808203223502 y[1] (numeric) 1.1321808203223511 absolute error 8.881784197001252e-16 relative error 7.844846015385126e-14% Desired digits 8 Estimated correct digits 12 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 0.4312021136216694 Order of pole (three term test) 32.246889871383615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5210000000000004 y[1] (closed_form) 1.1326781342869343 y[1] (numeric) 1.1326781342869352 absolute error 8.881784197001252e-16 relative error 7.841401655195443e-14% Desired digits 8 Estimated correct digits 12 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 0.43170747113748215 Order of pole (three term test) 32.247752781256004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5220000000000004 y[1] (closed_form) 1.1331763155733119 y[1] (numeric) 1.1331763155733128 absolute error 8.881784197001252e-16 relative error 7.837954319145524e-14% Desired digits 8 Estimated correct digits 12 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 0.43221110182398625 Order of pole (three term test) 32.24861670011694 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5230000000000004 y[1] (closed_form) 1.1336753636833015 y[1] (numeric) 1.1336753636833026 absolute error 1.1102230246251565e-15 relative error 9.793130028141844e-14% Desired digits 8 Estimated correct digits 12 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 0.4327130036666592 Order of pole (three term test) 32.249481624510736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5240000000000004 y[1] (closed_form) 1.1341752781178553 y[1] (numeric) 1.1341752781178565 absolute error 1.1102230246251565e-15 relative error 9.788813475705033e-14% Desired digits 8 Estimated correct digits 12 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 0.4332131746578941 Order of pole (three term test) 32.25034755097771 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5250000000000004 y[1] (closed_form) 1.134676058377059 y[1] (numeric) 1.13467605837706 absolute error 1.1102230246251565e-15 relative error 9.78449326068554e-14% Desired digits 8 Estimated correct digits 12 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 0.43371161279700876 Order of pole (three term test) 32.25121447605413 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5260000000000004 y[1] (closed_form) 1.135177703960132 y[1] (numeric) 1.1351777039601332 absolute error 1.1102230246251565e-15 relative error 9.780169402130435e-14% Desired digits 8 Estimated correct digits 12 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 0.43420831609025 Order of pole (three term test) 32.25208239627233 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5270000000000004 y[1] (closed_form) 1.135680214365429 y[1] (numeric) 1.13568021436543 absolute error 1.1102230246251565e-15 relative error 9.775841919069649e-14% Desired digits 8 Estimated correct digits 12 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 0.4347032825508058 Order of pole (three term test) 32.25295130816061 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5280000000000004 y[1] (closed_form) 1.1361835890904395 y[1] (numeric) 1.1361835890904408 absolute error 1.3322676295501878e-15 relative error 1.1725812996618984e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4351965101988112 Order of pole (three term test) 32.25382120824332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5290000000000004 y[1] (closed_form) 1.136687827631789 y[1] (numeric) 1.1366878276317904 absolute error 1.3322676295501878e-15 relative error 1.1720611386556992e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.43568799706135575 Order of pole (three term test) 32.25469209304088 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5300000000000004 y[1] (closed_form) 1.1371929294852392 y[1] (numeric) 1.1371929294852405 absolute error 1.3322676295501878e-15 relative error 1.1715405495470774e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.43617774117249347 Order of pole (three term test) 32.25556395906974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5310000000000004 y[1] (closed_form) 1.1376988941456878 y[1] (numeric) 1.1376988941456891 absolute error 1.3322676295501878e-15 relative error 1.1710195346112242e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.43666574057324764 Order of pole (three term test) 32.25643680284243 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5320000000000004 y[1] (closed_form) 1.1382057211071703 y[1] (numeric) 1.1382057211071717 absolute error 1.3322676295501878e-15 relative error 1.170498096121189e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.43715199331162174 Order of pole (three term test) 32.257310620867585 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5330000000000004 y[1] (closed_form) 1.1387134098628602 y[1] (numeric) 1.1387134098628613 absolute error 1.1102230246251565e-15 relative error 9.749801969565504e-14% Desired digits 8 Estimated correct digits 12 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 0.43763649744260563 Order of pole (three term test) 32.25818540964994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5340000000000004 y[1] (closed_form) 1.1392219599050681 y[1] (numeric) 1.1392219599050692 absolute error 1.1102230246251565e-15 relative error 9.74544964633294e-14% Desired digits 8 Estimated correct digits 12 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 0.4381192510281834 Order of pole (three term test) 32.259061165690326 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5350000000000004 y[1] (closed_form) 1.1397313707252446 y[1] (numeric) 1.1397313707252457 absolute error 1.1102230246251565e-15 relative error 9.741093850199885e-14% Desired digits 8 Estimated correct digits 12 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 0.43860025213734094 Order of pole (three term test) 32.25993788548574 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5360000000000004 y[1] (closed_form) 1.1402416418139785 y[1] (numeric) 1.1402416418139796 absolute error 1.1102230246251565e-15 relative error 9.736734600035601e-14% Desired digits 8 Estimated correct digits 12 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 0.43907949884607483 Order of pole (three term test) 32.26081556552928 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5370000000000004 y[1] (closed_form) 1.140752772660999 y[1] (numeric) 1.140752772661 absolute error 1.1102230246251565e-15 relative error 9.7323719146908e-14% Desired digits 8 Estimated correct digits 12 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 0.4395569892373986 Order of pole (three term test) 32.26169420231024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5380000000000004 y[1] (closed_form) 1.1412647627551753 y[1] (numeric) 1.1412647627551764 absolute error 1.1102230246251565e-15 relative error 9.728005812997506e-14% Desired digits 8 Estimated correct digits 12 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 0.44003272140135186 Order of pole (three term test) 32.26257379231407 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5390000000000004 y[1] (closed_form) 1.141777611584517 y[1] (numeric) 1.1417776115845184 absolute error 1.3322676295501878e-15 relative error 1.1668363576522713e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4405066934350065 Order of pole (three term test) 32.26345433202242 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5400000000000004 y[1] (closed_form) 1.142291318636176 y[1] (numeric) 1.1422913186361772 absolute error 1.1102230246251565e-15 relative error 9.71926343579931e-14% Desired digits 8 Estimated correct digits 12 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 0.4409789034424741 Order of pole (three term test) 32.264335817913135 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5410000000000004 y[1] (closed_form) 1.1428058833964447 y[1] (numeric) 1.1428058833964458 absolute error 1.1102230246251565e-15 relative error 9.714887197863812e-14% Desired digits 8 Estimated correct digits 12 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 0.44144934953491594 Order of pole (three term test) 32.26521824646025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5420000000000004 y[1] (closed_form) 1.1433213053507587 y[1] (numeric) 1.1433213053507598 absolute error 1.1102230246251565e-15 relative error 9.710507618718362e-14% Desired digits 8 Estimated correct digits 12 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 0.44191802983054823 Order of pole (three term test) 32.26610161413408 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5430000000000004 y[1] (closed_form) 1.1438375839836958 y[1] (numeric) 1.143837583983697 absolute error 1.1102230246251565e-15 relative error 9.706124717099535e-14% Desired digits 8 Estimated correct digits 12 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 0.442384942454651 Order of pole (three term test) 32.26698591740112 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5440000000000004 y[1] (closed_form) 1.1443547187789775 y[1] (numeric) 1.1443547187789789 absolute error 1.3322676295501878e-15 relative error 1.1642086214069293e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4428500855395729 Order of pole (three term test) 32.2678711527242 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5450000000000004 y[1] (closed_form) 1.1448727092194693 y[1] (numeric) 1.1448727092194706 absolute error 1.3322676295501878e-15 relative error 1.163681882554854e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.44331345722474375 Order of pole (three term test) 32.26875731656235 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5460000000000004 y[1] (closed_form) 1.1453915547871807 y[1] (numeric) 1.1453915547871818 absolute error 1.1102230246251565e-15 relative error 9.692956264475351e-14% Desired digits 8 Estimated correct digits 12 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 0.4437750556566767 Order of pole (three term test) 32.269644405370926 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5470000000000004 y[1] (closed_form) 1.145911254963266 y[1] (numeric) 1.145911254963267 absolute error 1.1102230246251565e-15 relative error 9.68856025993694e-14% Desired digits 8 Estimated correct digits 12 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 0.4442348789889787 Order of pole (three term test) 32.27053241560157 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5480000000000004 y[1] (closed_form) 1.1464318092280252 y[1] (numeric) 1.1464318092280261 absolute error 8.881784197001252e-16 relative error 7.747328821050416e-14% Desired digits 8 Estimated correct digits 12 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 0.4446929253823569 Order of pole (three term test) 32.27142134370226 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5490000000000004 y[1] (closed_form) 1.1469532170609038 y[1] (numeric) 1.146953217060905 absolute error 1.1102230246251565e-15 relative error 9.679758582221258e-14% Desired digits 8 Estimated correct digits 12 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 0.44514919300462696 Order of pole (three term test) 32.27231118611726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5500000000000004 y[1] (closed_form) 1.1474754779404943 y[1] (numeric) 1.1474754779404954 absolute error 1.1102230246251565e-15 relative error 9.675352946259043e-14% Desired digits 8 Estimated correct digits 12 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 0.4456036800307179 Order of pole (three term test) 32.27320193928721 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5510000000000004 y[1] (closed_form) 1.147998591344536 y[1] (numeric) 1.147998591344537 absolute error 8.881784197001252e-16 relative error 7.736755309602693e-14% Desired digits 8 Estimated correct digits 12 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 0.44605638464268316 Order of pole (three term test) 32.274093599649106 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5520000000000004 y[1] (closed_form) 1.1485225567499153 y[1] (numeric) 1.1485225567499162 absolute error 8.881784197001252e-16 relative error 7.733225738408561e-14% Desired digits 8 Estimated correct digits 12 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 0.4465073050297047 Order of pole (three term test) 32.2749861636363 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5530000000000004 y[1] (closed_form) 1.149047373632667 y[1] (numeric) 1.1490473736326678 absolute error 8.881784197001252e-16 relative error 7.729693658253488e-14% Desired digits 8 Estimated correct digits 12 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 0.4469564393881011 Order of pole (three term test) 32.275879627678535 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5540000000000004 y[1] (closed_form) 1.1495730414679741 y[1] (numeric) 1.1495730414679748 absolute error 6.661338147750939e-16 relative error 5.794619312962131e-14% Desired digits 8 Estimated correct digits 12 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 0.4474037859213361 Order of pole (three term test) 32.27677398820197 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5550000000000004 y[1] (closed_form) 1.1500995597301689 y[1] (numeric) 1.1500995597301695 absolute error 6.661338147750939e-16 relative error 5.791966522718948e-14% Desired digits 8 Estimated correct digits 12 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 0.4478493428400241 Order of pole (three term test) 32.27766924162915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5560000000000004 y[1] (closed_form) 1.1506269278927328 y[1] (numeric) 1.1506269278927337 absolute error 8.881784197001252e-16 relative error 7.719082512059249e-14% Desired digits 8 Estimated correct digits 12 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 0.44829310836193764 Order of pole (three term test) 32.278565384379064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5570000000000004 y[1] (closed_form) 1.1511551454282984 y[1] (numeric) 1.151155145428299 absolute error 6.661338147750939e-16 relative error 5.786655408009773e-14% Desired digits 8 Estimated correct digits 12 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 0.4487350807120154 Order of pole (three term test) 32.27946241286715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5580000000000004 y[1] (closed_form) 1.1516842118086477 y[1] (numeric) 1.1516842118086483 absolute error 6.661338147750939e-16 relative error 5.783997105673374e-14% Desired digits 8 Estimated correct digits 12 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 0.4491752581223688 Order of pole (three term test) 32.280360323505285 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5590000000000004 y[1] (closed_form) 1.1522141265047146 y[1] (numeric) 1.1522141265047152 absolute error 6.661338147750939e-16 relative error 5.78133698808082e-14% Desired digits 8 Estimated correct digits 12 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 0.4496136388322888 Order of pole (three term test) 32.28125911270184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5600000000000004 y[1] (closed_form) 1.1527448889865841 y[1] (numeric) 1.1527448889865848 absolute error 6.661338147750939e-16 relative error 5.778675066264783e-14% Desired digits 8 Estimated correct digits 12 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 0.45005022108825254 Order of pole (three term test) 32.28215877686164 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5610000000000004 y[1] (closed_form) 1.153276498723494 y[1] (numeric) 1.153276498723495 absolute error 8.881784197001252e-16 relative error 7.701348468326606e-14% Desired digits 8 Estimated correct digits 12 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 0.4504850031439324 Order of pole (three term test) 32.28305931238606 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5620000000000004 y[1] (closed_form) 1.1538089551838349 y[1] (numeric) 1.1538089551838357 absolute error 8.881784197001252e-16 relative error 7.697794472037296e-14% Desired digits 8 Estimated correct digits 12 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 0.4509179832602001 Order of pole (three term test) 32.283960715672926 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5630000000000004 y[1] (closed_form) 1.1543422578351499 y[1] (numeric) 1.1543422578351508 absolute error 8.881784197001252e-16 relative error 7.694238114143136e-14% Desired digits 8 Estimated correct digits 12 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 0.451349159705136 Order of pole (three term test) 32.284862983116646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5640000000000004 y[1] (closed_form) 1.1548764061441368 y[1] (numeric) 1.1548764061441374 absolute error 6.661338147750939e-16 relative error 5.768009556963411e-14% Desired digits 8 Estimated correct digits 12 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 0.4517785307540349 Order of pole (three term test) 32.28576611110815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5650000000000004 y[1] (closed_form) 1.1554113995766468 y[1] (numeric) 1.1554113995766477 absolute error 8.881784197001252e-16 relative error 7.687118372084279e-14% Desired digits 8 Estimated correct digits 12 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 0.45220609468941314 Order of pole (three term test) 32.286670096034925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5660000000000004 y[1] (closed_form) 1.1559472375976871 y[1] (numeric) 1.155947237597688 absolute error 8.881784197001252e-16 relative error 7.683555017147284e-14% Desired digits 8 Estimated correct digits 12 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 0.4526318498010155 Order of pole (three term test) 32.287574934281025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5670000000000004 y[1] (closed_form) 1.1564839196714196 y[1] (numeric) 1.1564839196714203 absolute error 6.661338147750939e-16 relative error 5.759992019295486e-14% Desired digits 8 Estimated correct digits 12 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 0.45305579438582255 Order of pole (three term test) 32.28848062222711 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5680000000000004 y[1] (closed_form) 1.1570214452611618 y[1] (numeric) 1.1570214452611627 absolute error 8.881784197001252e-16 relative error 7.676421412393496e-14% Desired digits 8 Estimated correct digits 12 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 0.4534779267480554 Order of pole (three term test) 32.28938715625042 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5690000000000004 y[1] (closed_form) 1.1575598138293888 y[1] (numeric) 1.1575598138293894 absolute error 6.661338147750939e-16 relative error 5.754638393772665e-14% Desired digits 8 Estimated correct digits 12 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 0.45389824519918653 Order of pole (three term test) 32.29029453272483 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5700000000000004 y[1] (closed_form) 1.1580990248377314 y[1] (numeric) 1.1580990248377323 absolute error 8.881784197001252e-16 relative error 7.669278711503739e-14% Desired digits 8 Estimated correct digits 12 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 0.45431674805794175 Order of pole (three term test) 32.29120274802082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5710000000000004 y[1] (closed_form) 1.1586390777469793 y[1] (numeric) 1.1586390777469802 absolute error 8.881784197001252e-16 relative error 7.665703986328721e-14% Desired digits 8 Estimated correct digits 12 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 0.45473343365031066 Order of pole (three term test) 32.292111798505545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5720000000000004 y[1] (closed_form) 1.1591799720170792 y[1] (numeric) 1.1591799720170801 absolute error 8.881784197001252e-16 relative error 7.662127030668185e-14% Desired digits 8 Estimated correct digits 12 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 0.4551483003095511 Order of pole (three term test) 32.29302168054279 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5730000000000004 y[1] (closed_form) 1.159721707107137 y[1] (numeric) 1.159721707107138 absolute error 8.881784197001252e-16 relative error 7.658547859000054e-14% Desired digits 8 Estimated correct digits 12 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 0.4555613463761975 Order of pole (three term test) 32.293932390493055 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5740000000000004 y[1] (closed_form) 1.160264282475418 y[1] (numeric) 1.1602642824754186 absolute error 6.661338147750939e-16 relative error 5.741224864337811e-14% Desired digits 8 Estimated correct digits 12 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 0.45597257019806553 Order of pole (three term test) 32.29484392471347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5750000000000004 y[1] (closed_form) 1.160807697579346 y[1] (numeric) 1.1608076975793469 absolute error 8.881784197001252e-16 relative error 7.651382925460094e-14% Desired digits 8 Estimated correct digits 12 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 0.4563819701302607 Order of pole (three term test) 32.29575627955792 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5760000000000004 y[1] (closed_form) 1.1613519518755069 y[1] (numeric) 1.1613519518755075 absolute error 6.661338147750939e-16 relative error 5.73584789433842e-14% Desired digits 8 Estimated correct digits 12 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 0.45678954453518433 Order of pole (three term test) 32.29666945137698 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5770000000000004 y[1] (closed_form) 1.161897044819646 y[1] (numeric) 1.1618970448196466 absolute error 6.661338147750939e-16 relative error 5.733156975870386e-14% Desired digits 8 Estimated correct digits 12 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 0.45719529178253826 Order of pole (three term test) 32.297583436517954 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5780000000000004 y[1] (closed_form) 1.1624429758666701 y[1] (numeric) 1.162442975866671 absolute error 8.881784197001252e-16 relative error 7.640619265972472e-14% Desired digits 8 Estimated correct digits 12 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 0.45759921024933464 Order of pole (three term test) 32.29849823132492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5790000000000004 y[1] (closed_form) 1.1629897444706487 y[1] (numeric) 1.1629897444706496 absolute error 8.881784197001252e-16 relative error 7.637027101252662e-14% Desired digits 8 Estimated correct digits 12 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 0.45800129831990055 Order of pole (three term test) 32.29941383213869 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5800000000000004 y[1] (closed_form) 1.1635373500848134 y[1] (numeric) 1.163537350084814 absolute error 6.661338147750939e-16 relative error 5.725074616010716e-14% Desired digits 8 Estimated correct digits 12 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 0.4584015543858839 Order of pole (three term test) 32.30033023529687 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5810000000000004 y[1] (closed_form) 1.164085792161558 y[1] (numeric) 1.1640857921615588 absolute error 8.881784197001252e-16 relative error 7.629836440584777e-14% Desired digits 8 Estimated correct digits 12 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 0.4587999768462603 Order of pole (three term test) 32.301247437133824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5820000000000004 y[1] (closed_form) 1.1646350701524408 y[1] (numeric) 1.1646350701524417 absolute error 8.881784197001252e-16 relative error 7.626237973272351e-14% Desired digits 8 Estimated correct digits 12 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 0.4591965641073415 Order of pole (three term test) 32.30216543398078 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5830000000000004 y[1] (closed_form) 1.165185183508184 y[1] (numeric) 1.1651851835081848 absolute error 8.881784197001252e-16 relative error 7.622637433699284e-14% Desired digits 8 Estimated correct digits 12 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 0.45959131458277863 Order of pole (three term test) 32.30308422216573 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5840000000000004 y[1] (closed_form) 1.1657361316786738 y[1] (numeric) 1.1657361316786747 absolute error 8.881784197001252e-16 relative error 7.619034836135154e-14% Desired digits 8 Estimated correct digits 12 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 0.45998422669357014 Order of pole (three term test) 32.30400379801353 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5850000000000004 y[1] (closed_form) 1.1662879141129627 y[1] (numeric) 1.1662879141129636 absolute error 8.881784197001252e-16 relative error 7.615430194830084e-14% Desired digits 8 Estimated correct digits 12 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 0.46037529886806794 Order of pole (three term test) 32.30492415784588 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5860000000000004 y[1] (closed_form) 1.1668405302592677 y[1] (numeric) 1.1668405302592688 absolute error 1.1102230246251565e-15 relative error 9.514779405018345e-14% Desired digits 8 Estimated correct digits 12 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 0.46076452954198444 Order of pole (three term test) 32.30584529798134 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5870000000000004 y[1] (closed_form) 1.1673939795649733 y[1] (numeric) 1.1673939795649744 absolute error 1.1102230246251565e-15 relative error 9.510268547374886e-14% Desired digits 8 Estimated correct digits 12 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 0.46115191715839676 Order of pole (three term test) 32.306767214735345 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5880000000000004 y[1] (closed_form) 1.1679482614766301 y[1] (numeric) 1.167948261476631 absolute error 8.881784197001252e-16 relative error 7.604604150677072e-14% Desired digits 8 Estimated correct digits 12 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 0.46153746016775554 Order of pole (three term test) 32.307689904420236 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5890000000000004 y[1] (closed_form) 1.1685033754399559 y[1] (numeric) 1.1685033754399567 absolute error 8.881784197001252e-16 relative error 7.600991476517688e-14% Desired digits 8 Estimated correct digits 12 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 0.4619211570278891 Order of pole (three term test) 32.30861336334525 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5900000000000004 y[1] (closed_form) 1.1690593208998368 y[1] (numeric) 1.1690593208998377 absolute error 8.881784197001252e-16 relative error 7.597376829573415e-14% Desired digits 8 Estimated correct digits 12 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 0.4623030062040102 Order of pole (three term test) 32.30953758781656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5910000000000004 y[1] (closed_form) 1.1696160973003276 y[1] (numeric) 1.1696160973003285 absolute error 8.881784197001252e-16 relative error 7.593760223975985e-14% Desired digits 8 Estimated correct digits 12 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 0.46268300616872315 Order of pole (three term test) 32.31046257413726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5920000000000004 y[1] (closed_form) 1.170173704084652 y[1] (numeric) 1.170173704084653 absolute error 8.881784197001252e-16 relative error 7.59014167383711e-14% Desired digits 8 Estimated correct digits 12 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 0.4630611554020282 Order of pole (three term test) 32.31138831860741 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5930000000000004 y[1] (closed_form) 1.1707321406952031 y[1] (numeric) 1.170732140695204 absolute error 8.881784197001252e-16 relative error 7.586521193248422e-14% Desired digits 8 Estimated correct digits 12 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 0.4634374523913292 Order of pole (three term test) 32.31231481752404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5940000000000004 y[1] (closed_form) 1.1712914065735445 y[1] (numeric) 1.1712914065735454 absolute error 8.881784197001252e-16 relative error 7.582898796281377e-14% Desired digits 8 Estimated correct digits 12 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 0.46381189563143826 Order of pole (three term test) 32.31324206718114 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5950000000000004 y[1] (closed_form) 1.1718515011604103 y[1] (numeric) 1.1718515011604111 absolute error 8.881784197001252e-16 relative error 7.57927449698719e-14% Desired digits 8 Estimated correct digits 12 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 0.46418448362458353 Order of pole (three term test) 32.31417006386973 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5960000000000004 y[1] (closed_form) 1.1724124238957057 y[1] (numeric) 1.1724124238957068 absolute error 1.1102230246251565e-15 relative error 9.469560386745941e-14% Desired digits 8 Estimated correct digits 12 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 0.46455521488041274 Order of pole (three term test) 32.31509880387782 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5970000000000004 y[1] (closed_form) 1.1729741742185085 y[1] (numeric) 1.1729741742185094 absolute error 8.881784197001252e-16 relative error 7.572020247520557e-14% Desired digits 8 Estimated correct digits 12 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 0.4649240879160024 Order of pole (three term test) 32.31602828349044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5980000000000004 y[1] (closed_form) 1.173536751567068 y[1] (numeric) 1.173536751567069 absolute error 8.881784197001252e-16 relative error 7.568390325348626e-14% Desired digits 8 Estimated correct digits 12 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 0.46529110125585993 Order of pole (three term test) 32.31695849898968 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5990000000000004 y[1] (closed_form) 1.174100155378807 y[1] (numeric) 1.174100155378808 absolute error 8.881784197001252e-16 relative error 7.564758556850432e-14% Desired digits 8 Estimated correct digits 12 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 0.4656562534319333 Order of pole (three term test) 32.317889446654696 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6000000000000004 y[1] (closed_form) 1.1746643850903218 y[1] (numeric) 1.174664385090323 absolute error 1.1102230246251565e-15 relative error 9.45140619496853e-14% Desired digits 8 Estimated correct digits 12 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 0.4660195429836131 Order of pole (three term test) 32.31882112276166 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6010000000000004 y[1] (closed_form) 1.1752294401373828 y[1] (numeric) 1.175229440137384 absolute error 1.1102230246251565e-15 relative error 9.44686192081244e-14% Desired digits 8 Estimated correct digits 12 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 0.46638096845774313 Order of pole (three term test) 32.319753523583906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6020000000000004 y[1] (closed_form) 1.1757953199549351 y[1] (numeric) 1.175795319954936 absolute error 8.881784197001252e-16 relative error 7.553852312783203e-14% Desired digits 8 Estimated correct digits 12 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 0.46674052840862057 Order of pole (three term test) 32.32068664539181 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6030000000000004 y[1] (closed_form) 1.1763620239770987 y[1] (numeric) 1.1763620239770995 absolute error 8.881784197001252e-16 relative error 7.550213298261117e-14% Desired digits 8 Estimated correct digits 12 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 0.46709822139800705 Order of pole (three term test) 32.32162048445289 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6040000000000004 y[1] (closed_form) 1.1769295516371696 y[1] (numeric) 1.1769295516371705 absolute error 8.881784197001252e-16 relative error 7.546572506949318e-14% Desired digits 8 Estimated correct digits 12 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 0.46745404599513046 Order of pole (three term test) 32.32255503703181 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6050000000000004 y[1] (closed_form) 1.1774979023676202 y[1] (numeric) 1.177497902367621 absolute error 8.881784197001252e-16 relative error 7.54292995269245e-14% Desired digits 8 Estimated correct digits 12 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 0.4678080007766932 Order of pole (three term test) 32.323490299390336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6060000000000004 y[1] (closed_form) 1.1780670756001 y[1] (numeric) 1.1780670756001008 absolute error 8.881784197001252e-16 relative error 7.539285649314092e-14% Desired digits 8 Estimated correct digits 12 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 0.4681600843268763 Order of pole (three term test) 32.32442626778742 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6070000000000004 y[1] (closed_form) 1.1786370707654357 y[1] (numeric) 1.1786370707654366 absolute error 8.881784197001252e-16 relative error 7.535639610616697e-14% Desired digits 8 Estimated correct digits 12 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 0.4685102952373469 Order of pole (three term test) 32.325362938479216 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6080000000000004 y[1] (closed_form) 1.1792078872936322 y[1] (numeric) 1.1792078872936331 absolute error 8.881784197001252e-16 relative error 7.531991850381523e-14% Desired digits 8 Estimated correct digits 12 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 0.468858632107261 Order of pole (three term test) 32.32630030771902 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6090000000000004 y[1] (closed_form) 1.179779524613873 y[1] (numeric) 1.1797795246138738 absolute error 8.881784197001252e-16 relative error 7.528342382368561e-14% Desired digits 8 Estimated correct digits 12 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 0.4692050935432718 Order of pole (three term test) 32.32723837175735 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6100000000000004 y[1] (closed_form) 1.1803519821545208 y[1] (numeric) 1.1803519821545216 absolute error 8.881784197001252e-16 relative error 7.52469122031646e-14% Desired digits 8 Estimated correct digits 12 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 0.46954967815953375 Order of pole (three term test) 32.32817712684198 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6110000000000004 y[1] (closed_form) 1.180925259343118 y[1] (numeric) 1.180925259343119 absolute error 8.881784197001252e-16 relative error 7.521038377942467e-14% Desired digits 8 Estimated correct digits 12 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 0.4698923845777099 Order of pole (three term test) 32.32911656921786 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6120000000000004 y[1] (closed_form) 1.181499355606388 y[1] (numeric) 1.1814993556063886 absolute error 6.661338147750939e-16 relative error 5.638037901706769e-14% Desired digits 8 Estimated correct digits 12 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 0.4702332114269734 Order of pole (three term test) 32.33005669512723 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6130000000000004 y[1] (closed_form) 1.1820742703702338 y[1] (numeric) 1.1820742703702345 absolute error 6.661338147750939e-16 relative error 5.635295780242778e-14% Desired digits 8 Estimated correct digits 12 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 0.4705721573440185 Order of pole (three term test) 32.330997500809616 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6140000000000004 y[1] (closed_form) 1.182650003059741 y[1] (numeric) 1.182650003059742 absolute error 8.881784197001252e-16 relative error 7.510069905739131e-14% Desired digits 8 Estimated correct digits 12 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 0.47090922097306187 Order of pole (three term test) 32.33193898250176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6150000000000004 y[1] (closed_form) 1.1832265530991775 y[1] (numeric) 1.1832265530991781 absolute error 6.661338147750939e-16 relative error 5.6298078591146945e-14% Desired digits 8 Estimated correct digits 12 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 0.47124440096584885 Order of pole (three term test) 32.33288113643775 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6160000000000004 y[1] (closed_form) 1.1838039199119925 y[1] (numeric) 1.1838039199119932 absolute error 6.661338147750939e-16 relative error 5.627062079880731e-14% Desired digits 8 Estimated correct digits 12 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 0.4715776959816605 Order of pole (three term test) 32.33382395884897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6170000000000004 y[1] (closed_form) 1.1843821029208197 y[1] (numeric) 1.1843821029208204 absolute error 6.661338147750939e-16 relative error 5.6243151017930186e-14% Desired digits 8 Estimated correct digits 12 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 0.471909104687317 Order of pole (three term test) 32.33476744596413 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6180000000000004 y[1] (closed_form) 1.1849611015474757 y[1] (numeric) 1.1849611015474766 absolute error 8.881784197001252e-16 relative error 7.495422580034288e-14% Desired digits 8 Estimated correct digits 12 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 0.47223862575718395 Order of pole (three term test) 32.3357115940093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6190000000000004 y[1] (closed_form) 1.1855409152129628 y[1] (numeric) 1.1855409152129635 absolute error 6.661338147750939e-16 relative error 5.61881758973653e-14% Desired digits 8 Estimated correct digits 12 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 0.4725662578731775 Order of pole (three term test) 32.33665639920786 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6200000000000004 y[1] (closed_form) 1.1861215433374663 y[1] (numeric) 1.1861215433374672 absolute error 8.881784197001252e-16 relative error 7.48808943475557e-14% Desired digits 8 Estimated correct digits 12 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 0.47289199972476953 Order of pole (three term test) 32.33760185778062 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6210000000000004 y[1] (closed_form) 1.186702985340359 y[1] (numeric) 1.1867029853403597 absolute error 6.661338147750939e-16 relative error 5.613315404140824e-14% Desired digits 8 Estimated correct digits 12 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 0.47321585000899347 Order of pole (three term test) 32.33854796594571 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6220000000000004 y[1] (closed_form) 1.1872852406401981 y[1] (numeric) 1.187285240640199 absolute error 8.881784197001252e-16 relative error 7.4807501120894e-14% Desired digits 8 Estimated correct digits 12 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 0.47353780743044804 Order of pole (three term test) 32.33949471991874 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6230000000000004 y[1] (closed_form) 1.1878683086547293 y[1] (numeric) 1.1878683086547301 absolute error 8.881784197001252e-16 relative error 7.477078167915724e-14% Desired digits 8 Estimated correct digits 12 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 0.4738578707013042 Order of pole (three term test) 32.340442115912666 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6240000000000004 y[1] (closed_form) 1.188452188800884 y[1] (numeric) 1.1884521888008848 absolute error 6.661338147750939e-16 relative error 5.60505353982481e-14% Desired digits 8 Estimated correct digits 12 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 0.47417603854130985 Order of pole (three term test) 32.34139015013792 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6250000000000004 y[1] (closed_form) 1.1890368804947824 y[1] (numeric) 1.189036880494783 absolute error 6.661338147750939e-16 relative error 5.6022973357891317e-14% Desired digits 8 Estimated correct digits 12 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 0.47449230967779327 Order of pole (three term test) 32.34233881880237 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6260000000000004 y[1] (closed_form) 1.1896223831517325 y[1] (numeric) 1.1896223831517332 absolute error 6.661338147750939e-16 relative error 5.5995400238710095e-14% Desired digits 8 Estimated correct digits 12 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 0.47480668284567046 Order of pole (three term test) 32.34328811811132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6270000000000004 y[1] (closed_form) 1.1902086961862322 y[1] (numeric) 1.1902086961862328 absolute error 6.661338147750939e-16 relative error 5.5967816140948765e-14% Desired digits 8 Estimated correct digits 12 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 0.47511915678744965 Order of pole (three term test) 32.34423804426759 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6280000000000004 y[1] (closed_form) 1.190795819011968 y[1] (numeric) 1.1907958190119687 absolute error 6.661338147750939e-16 relative error 5.594022116468306e-14% Desired digits 8 Estimated correct digits 12 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 0.475429730253235 Order of pole (three term test) 32.34518859347149 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6290000000000004 y[1] (closed_form) 1.1913837510418173 y[1] (numeric) 1.1913837510418182 absolute error 8.881784197001252e-16 relative error 7.455015387975947e-14% Desired digits 8 Estimated correct digits 12 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 0.4757384020007334 Order of pole (three term test) 32.346139761920796 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6300000000000004 y[1] (closed_form) 1.1919724916878485 y[1] (numeric) 1.1919724916878491 absolute error 6.661338147750939e-16 relative error 5.588499897609548e-14% Desired digits 8 Estimated correct digits 12 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 0.47604517079525793 Order of pole (three term test) 32.347091545810855 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6310000000000004 y[1] (closed_form) 1.1925620403613204 y[1] (numeric) 1.192562040361321 absolute error 6.661338147750939e-16 relative error 5.5857371963077897e-14% Desired digits 8 Estimated correct digits 12 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 0.4763500354097342 Order of pole (three term test) 32.34804394133453 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6320000000000005 y[1] (closed_form) 1.1931523964726847 y[1] (numeric) 1.1931523964726853 absolute error 6.661338147750939e-16 relative error 5.5829734470163634e-14% Desired digits 8 Estimated correct digits 12 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 0.4766529946247039 Order of pole (three term test) 32.34899694468223 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6330000000000005 y[1] (closed_form) 1.1937435594315853 y[1] (numeric) 1.193743559431586 absolute error 6.661338147750939e-16 relative error 5.580208659657868e-14% Desired digits 8 Estimated correct digits 12 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 0.4769540472283305 Order of pole (three term test) 32.34995055204195 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6340000000000005 y[1] (closed_form) 1.1943355286468593 y[1] (numeric) 1.19433552864686 absolute error 6.661338147750939e-16 relative error 5.577442844137781e-14% Desired digits 8 Estimated correct digits 12 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 0.47725319201640415 Order of pole (three term test) 32.35090475959926 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6350000000000005 y[1] (closed_form) 1.1949283035265374 y[1] (numeric) 1.1949283035265381 absolute error 6.661338147750939e-16 relative error 5.574676010344416e-14% Desired digits 8 Estimated correct digits 12 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 0.4775504277923461 Order of pole (three term test) 32.35185956353734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6360000000000005 y[1] (closed_form) 1.195521883477845 y[1] (numeric) 1.1955218834778456 absolute error 6.661338147750939e-16 relative error 5.571908168148881e-14% Desired digits 8 Estimated correct digits 12 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 0.4778457533672139 Order of pole (three term test) 32.352814960036966 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6370000000000005 y[1] (closed_form) 1.1961162679072022 y[1] (numeric) 1.1961162679072026 absolute error 4.440892098500626e-16 relative error 3.712759551603358e-14% Desired digits 8 Estimated correct digits 12 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 0.4781391675597052 Order of pole (three term test) 32.35377094527656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6380000000000005 y[1] (closed_form) 1.1967114562202243 y[1] (numeric) 1.1967114562202248 absolute error 4.440892098500626e-16 relative error 3.7109129986329745e-14% Desired digits 8 Estimated correct digits 12 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 0.4784306691961635 Order of pole (three term test) 32.35472751543217 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6390000000000005 y[1] (closed_form) 1.1973074478217234 y[1] (numeric) 1.1973074478217238 absolute error 4.440892098500626e-16 relative error 3.709065793067601e-14% Desired digits 8 Estimated correct digits 12 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 0.4787202571105831 Order of pole (three term test) 32.355684666677526 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6400000000000005 y[1] (closed_form) 1.1979042421157078 y[1] (numeric) 1.1979042421157082 absolute error 4.440892098500626e-16 relative error 3.707217941441827e-14% Desired digits 8 Estimated correct digits 12 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 0.47900793014461257 Order of pole (three term test) 32.35664239518402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6410000000000005 y[1] (closed_form) 1.1985018385053832 y[1] (numeric) 1.1985018385053836 absolute error 4.440892098500626e-16 relative error 3.705369450278636e-14% Desired digits 8 Estimated correct digits 12 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 0.47929368714756027 Order of pole (three term test) 32.35760069712075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6420000000000005 y[1] (closed_form) 1.199100236393153 y[1] (numeric) 1.1991002363931536 absolute error 4.440892098500626e-16 relative error 3.7035203260893825e-14% Desired digits 8 Estimated correct digits 12 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 0.4795775269763983 Order of pole (three term test) 32.3585595686545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6430000000000005 y[1] (closed_form) 1.1996994351806198 y[1] (numeric) 1.1996994351806205 absolute error 6.661338147750939e-16 relative error 5.5525058630606476e-14% Desired digits 8 Estimated correct digits 12 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 0.4798594484957679 Order of pole (three term test) 32.35951900594978 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6440000000000005 y[1] (closed_form) 1.2002994342685849 y[1] (numeric) 1.2002994342685855 absolute error 6.661338147750939e-16 relative error 5.5497303069297003e-14% Desired digits 8 Estimated correct digits 12 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 0.48013945057798335 Order of pole (three term test) 32.360479005168855 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6450000000000005 y[1] (closed_form) 1.200900233057049 y[1] (numeric) 1.2009002330570497 absolute error 6.661338147750939e-16 relative error 5.5469538304556985e-14% Desired digits 8 Estimated correct digits 12 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 0.4804175321030365 Order of pole (three term test) 32.36143956247172 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6460000000000005 y[1] (closed_form) 1.2015018309452137 y[1] (numeric) 1.2015018309452141 absolute error 4.440892098500626e-16 relative error 3.696117628890341e-14% Desired digits 8 Estimated correct digits 12 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 0.4806936919586019 Order of pole (three term test) 32.36240067401616 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6470000000000005 y[1] (closed_form) 1.2021042273314806 y[1] (numeric) 1.202104227331481 absolute error 4.440892098500626e-16 relative error 3.6942654368322495e-14% Desired digits 8 Estimated correct digits 12 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 0.48096792904004043 Order of pole (three term test) 32.36336233595771 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6480000000000005 y[1] (closed_form) 1.2027074216134537 y[1] (numeric) 1.2027074216134541 absolute error 4.440892098500626e-16 relative error 3.692412650570568e-14% Desired digits 8 Estimated correct digits 12 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 0.48124024225040396 Order of pole (three term test) 32.36432454444974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6490000000000005 y[1] (closed_form) 1.2033114131879388 y[1] (numeric) 1.2033114131879392 absolute error 4.440892098500626e-16 relative error 3.690559276534533e-14% Desired digits 8 Estimated correct digits 12 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 0.4815106305004403 Order of pole (three term test) 32.3652872956434 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6500000000000005 y[1] (closed_form) 1.2039162014509444 y[1] (numeric) 1.2039162014509448 absolute error 4.440892098500626e-16 relative error 3.6887053211415545e-14% Desired digits 8 Estimated correct digits 12 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 0.48177909270859665 Order of pole (three term test) 32.36625058568771 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6510000000000005 y[1] (closed_form) 1.2045217857976822 y[1] (numeric) 1.2045217857976827 absolute error 4.440892098500626e-16 relative error 3.6868507907971886e-14% Desired digits 8 Estimated correct digits 12 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 0.48204562780102445 Order of pole (three term test) 32.36721441072949 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6520000000000005 y[1] (closed_form) 1.2051281656225679 y[1] (numeric) 1.2051281656225683 absolute error 4.440892098500626e-16 relative error 3.684995691895116e-14% Desired digits 8 Estimated correct digits 12 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 0.4823102347115839 Order of pole (three term test) 32.36817876691346 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6530000000000005 y[1] (closed_form) 1.2057353403192217 y[1] (numeric) 1.2057353403192221 absolute error 4.440892098500626e-16 relative error 3.6831400308171176e-14% Desired digits 8 Estimated correct digits 12 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 0.4825729123818474 Order of pole (three term test) 32.36914365038218 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6540000000000005 y[1] (closed_form) 1.206343309280469 y[1] (numeric) 1.2063433092804694 absolute error 4.440892098500626e-16 relative error 3.6812838139330535e-14% Desired digits 8 Estimated correct digits 12 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 0.48283365976110504 Order of pole (three term test) 32.37010905727612 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6550000000000005 y[1] (closed_form) 1.2069520718983409 y[1] (numeric) 1.2069520718983413 absolute error 4.440892098500626e-16 relative error 3.679427047600838e-14% Desired digits 8 Estimated correct digits 12 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 0.4830924758063671 Order of pole (three term test) 32.37107498373366 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6560000000000005 y[1] (closed_form) 1.2075616275640746 y[1] (numeric) 1.2075616275640753 absolute error 6.661338147750939e-16 relative error 5.5163546072496255e-14% Desired digits 8 Estimated correct digits 12 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 0.48334935948237023 Order of pole (three term test) 32.3720414258911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6570000000000005 y[1] (closed_form) 1.2081719756681149 y[1] (numeric) 1.2081719756681155 absolute error 6.661338147750939e-16 relative error 5.5135678379456226e-14% Desired digits 8 Estimated correct digits 12 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 0.4836043097615799 Order of pole (three term test) 32.37300837988266 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6580000000000005 y[1] (closed_form) 1.2087831156001136 y[1] (numeric) 1.208783115600114 absolute error 4.440892098500626e-16 relative error 3.673853515314777e-14% Desired digits 8 Estimated correct digits 12 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 0.4838573256241954 Order of pole (three term test) 32.37397584184054 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6590000000000005 y[1] (closed_form) 1.2093950467489307 y[1] (numeric) 1.2093950467489312 absolute error 4.440892098500626e-16 relative error 3.671994614529417e-14% Desired digits 8 Estimated correct digits 12 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 0.4841084060581534 Order of pole (three term test) 32.37494380789487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6600000000000005 y[1] (closed_form) 1.2100077685026354 y[1] (numeric) 1.2100077685026356 absolute error 2.220446049250313e-16 relative error 1.8350675979527624e-14% Desired digits 8 Estimated correct digits 12 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 0.48435755005913284 Order of pole (three term test) 32.375912274173814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6610000000000005 y[1] (closed_form) 1.2106212802485055 y[1] (numeric) 1.2106212802485057 absolute error 2.220446049250313e-16 relative error 1.8341376328644412e-14% Desired digits 8 Estimated correct digits 12 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 0.48460475663055746 Order of pole (three term test) 32.376881236803484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6620000000000005 y[1] (closed_form) 1.2112355813730296 y[1] (numeric) 1.2112355813730298 absolute error 2.220446049250313e-16 relative error 1.8332074151365875e-14% Desired digits 8 Estimated correct digits 12 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 0.4848500247836023 Order of pole (three term test) 32.37785069190806 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6630000000000005 y[1] (closed_form) 1.2118506712619064 y[1] (numeric) 1.2118506712619068 absolute error 4.440892098500626e-16 relative error 3.6645538957999684e-14% Desired digits 8 Estimated correct digits 12 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 0.48509335353719396 Order of pole (three term test) 32.37882063560969 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6640000000000005 y[1] (closed_form) 1.2124665493000464 y[1] (numeric) 1.2124665493000468 absolute error 4.440892098500626e-16 relative error 3.6626924685586923e-14% Desired digits 8 Estimated correct digits 12 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 0.48533474191801845 Order of pole (three term test) 32.37979106402862 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6650000000000005 y[1] (closed_form) 1.2130832148715716 y[1] (numeric) 1.213083214871572 absolute error 4.440892098500626e-16 relative error 3.6608305547866155e-14% Desired digits 8 Estimated correct digits 12 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 0.48557418896052235 Order of pole (three term test) 32.38076197328314 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6660000000000005 y[1] (closed_form) 1.2137006673598163 y[1] (numeric) 1.2137006673598167 absolute error 4.440892098500626e-16 relative error 3.65896816070883e-14% Desired digits 8 Estimated correct digits 12 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 0.4858116937069179 Order of pole (three term test) 32.3817333594896 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6670000000000005 y[1] (closed_form) 1.214318906147328 y[1] (numeric) 1.2143189061473285 absolute error 4.440892098500626e-16 relative error 3.6571052925382286e-14% Desired digits 8 Estimated correct digits 12 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 0.48604725520718645 Order of pole (three term test) 32.382705218762474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6680000000000005 y[1] (closed_form) 1.2149379306158683 y[1] (numeric) 1.2149379306158687 absolute error 4.440892098500626e-16 relative error 3.6552419564754874e-14% Desired digits 8 Estimated correct digits 12 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 0.4862808725190822 Order of pole (three term test) 32.38367754721431 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6690000000000005 y[1] (closed_form) 1.2155577401464124 y[1] (numeric) 1.2155577401464128 absolute error 4.440892098500626e-16 relative error 3.6533781587090434e-14% Desired digits 8 Estimated correct digits 12 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 0.48651254470813593 Order of pole (three term test) 32.384650340955794 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6700000000000005 y[1] (closed_form) 1.216178334119151 y[1] (numeric) 1.2161783341191514 absolute error 4.440892098500626e-16 relative error 3.651513905415079e-14% Desired digits 8 Estimated correct digits 12 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 0.48674227084766 Order of pole (three term test) 32.38562359609577 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6710000000000005 y[1] (closed_form) 1.2167997119134903 y[1] (numeric) 1.2167997119134906 absolute error 2.220446049250313e-16 relative error 1.82482460137875e-14% Desired digits 8 Estimated correct digits 12 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 0.48697005001874916 Order of pole (three term test) 32.38659730874121 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6720000000000005 y[1] (closed_form) 1.2174218729080521 y[1] (numeric) 1.2174218729080526 absolute error 4.440892098500626e-16 relative error 3.6477840568879213e-14% Desired digits 8 Estimated correct digits 12 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 0.48719588131028785 Order of pole (three term test) 32.38757147499726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6730000000000005 y[1] (closed_form) 1.218044816480676 y[1] (numeric) 1.2180448164806765 absolute error 4.440892098500626e-16 relative error 3.645918473945642e-14% Desired digits 8 Estimated correct digits 12 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 0.48741976381895097 Order of pole (three term test) 32.38854609096726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6740000000000005 y[1] (closed_form) 1.2186685420084182 y[1] (numeric) 1.2186685420084187 absolute error 4.440892098500626e-16 relative error 3.6440524600576336e-14% Desired digits 8 Estimated correct digits 12 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 0.48764169664920853 Order of pole (three term test) 32.38952115275275 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6750000000000005 y[1] (closed_form) 1.2192930488675535 y[1] (numeric) 1.2192930488675537 absolute error 2.220446049250313e-16 relative error 1.821093010669259e-14% Desired digits 8 Estimated correct digits 12 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 0.48786167891332977 Order of pole (three term test) 32.39049665645348 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6760000000000005 y[1] (closed_form) 1.2199183364335746 y[1] (numeric) 1.2199183364335748 absolute error 2.220446049250313e-16 relative error 1.820159581945277e-14% Desired digits 8 Estimated correct digits 12 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 0.4880797097313856 Order of pole (three term test) 32.39147259816744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6770000000000005 y[1] (closed_form) 1.2205444040811944 y[1] (numeric) 1.2205444040811946 absolute error 2.220446049250313e-16 relative error 1.8192259469018074e-14% Desired digits 8 Estimated correct digits 12 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 0.48829578823125347 Order of pole (three term test) 32.39244897399086 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6780000000000005 y[1] (closed_form) 1.221171251184345 y[1] (numeric) 1.2211712511843453 absolute error 2.220446049250313e-16 relative error 1.818292108577587e-14% Desired digits 8 Estimated correct digits 12 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 0.48850991354861945 Order of pole (three term test) 32.39342578001824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6790000000000005 y[1] (closed_form) 1.2217988771161798 y[1] (numeric) 1.2217988771161798 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.48872208482698265 Order of pole (three term test) 32.39440301234236 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6800000000000005 y[1] (closed_form) 1.2224272812490724 y[1] (numeric) 1.2224272812490724 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.48893230121765824 Order of pole (three term test) 32.39538066705429 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6810000000000005 y[1] (closed_form) 1.223056462954619 y[1] (numeric) 1.223056462954619 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4891405618797807 Order of pole (three term test) 32.396358740243414 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6820000000000005 y[1] (closed_form) 1.223686421603638 y[1] (numeric) 1.2236864216036378 absolute error 2.220446049250313e-16 relative error 1.814554783030463e-14% Desired digits 8 Estimated correct digits 12 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 0.48934686598030797 Order of pole (three term test) 32.39733722799744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6830000000000005 y[1] (closed_form) 1.2243171565661706 y[1] (numeric) 1.2243171565661704 absolute error 2.220446049250313e-16 relative error 1.8136199736659532e-14% Desired digits 8 Estimated correct digits 12 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 0.4895512126940237 Order of pole (three term test) 32.39831612640241 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6840000000000005 y[1] (closed_form) 1.224948667211482 y[1] (numeric) 1.2249486672114818 absolute error 2.220446049250313e-16 relative error 1.812684979122446e-14% Desired digits 8 Estimated correct digits 12 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 0.48975360120354133 Order of pole (three term test) 32.39929543154274 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6850000000000005 y[1] (closed_form) 1.2255809529080617 y[1] (numeric) 1.2255809529080615 absolute error 2.220446049250313e-16 relative error 1.8117498023950463e-14% Desired digits 8 Estimated correct digits 12 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 0.4899540306993073 Order of pole (three term test) 32.40027513950122 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6860000000000005 y[1] (closed_form) 1.2262140130236237 y[1] (numeric) 1.2262140130236237 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4901525003796036 Order of pole (three term test) 32.40125524635899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6870000000000005 y[1] (closed_form) 1.2268478469251085 y[1] (numeric) 1.2268478469251083 absolute error 2.220446049250313e-16 relative error 1.8098789143376615e-14% Desired digits 8 Estimated correct digits 12 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 0.49034900945055193 Order of pole (three term test) 32.40223574819566 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6880000000000005 y[1] (closed_form) 1.2274824539786817 y[1] (numeric) 1.2274824539786815 absolute error 2.220446049250313e-16 relative error 1.8089432089665344e-14% Desired digits 8 Estimated correct digits 12 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 0.49054355712611636 Order of pole (three term test) 32.4032166410892 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6890000000000005 y[1] (closed_form) 1.2281178335497365 y[1] (numeric) 1.2281178335497365 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4907361426281063 Order of pole (three term test) 32.40419792111605 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6900000000000005 y[1] (closed_form) 1.2287539850028937 y[1] (numeric) 1.2287539850028935 absolute error 2.220446049250313e-16 relative error 1.8070712903894136e-14% Desired digits 8 Estimated correct digits 12 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 0.49092676518617995 Order of pole (three term test) 32.40517958435108 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6910000000000005 y[1] (closed_form) 1.2293909077020015 y[1] (numeric) 1.2293909077020013 absolute error 2.220446049250313e-16 relative error 1.806135083104534e-14% Desired digits 8 Estimated correct digits 12 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 0.49111542403784747 Order of pole (three term test) 32.40616162686765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6920000000000005 y[1] (closed_form) 1.2300286010101376 y[1] (numeric) 1.2300286010101371 absolute error 4.440892098500626e-16 relative error 3.610397428851352e-14% Desired digits 8 Estimated correct digits 12 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 0.49130211842847377 Order of pole (three term test) 32.4071440447376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6930000000000005 y[1] (closed_form) 1.2306670642896083 y[1] (numeric) 1.2306670642896078 absolute error 4.440892098500626e-16 relative error 3.608524374595246e-14% Desired digits 8 Estimated correct digits 12 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 0.4914868476112815 Order of pole (three term test) 32.40812683403123 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6940000000000005 y[1] (closed_form) 1.2313062969019506 y[1] (numeric) 1.2313062969019501 absolute error 4.440892098500626e-16 relative error 3.606651009317673e-14% Desired digits 8 Estimated correct digits 12 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 0.4916696108473536 Order of pole (three term test) 32.409109990817406 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6950000000000005 y[1] (closed_form) 1.231946298207932 y[1] (numeric) 1.2319462982079314 absolute error 4.440892098500626e-16 relative error 3.6047773388828984e-14% Desired digits 8 Estimated correct digits 12 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 0.49185040740563835 Order of pole (three term test) 32.410093511163495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6960000000000005 y[1] (closed_form) 1.232587067567551 y[1] (numeric) 1.2325870675675505 absolute error 4.440892098500626e-16 relative error 3.602903369142518e-14% Desired digits 8 Estimated correct digits 12 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 0.49202923656294906 Order of pole (three term test) 32.41107739113543 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6970000000000005 y[1] (closed_form) 1.2332286043400384 y[1] (numeric) 1.2332286043400382 absolute error 2.220446049250313e-16 relative error 1.8005145529677228e-14% Desired digits 8 Estimated correct digits 12 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 0.4922060976039697 Order of pole (three term test) 32.41206162679767 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6980000000000005 y[1] (closed_form) 1.233870907883858 y[1] (numeric) 1.2338709078838577 absolute error 2.220446049250313e-16 relative error 1.7995772775439484e-14% Desired digits 8 Estimated correct digits 12 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 0.49238098982125617 Order of pole (three term test) 32.41304621421329 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6990000000000005 y[1] (closed_form) 1.2345139775567056 y[1] (numeric) 1.2345139775567053 absolute error 2.220446049250313e-16 relative error 1.798639861206691e-14% Desired digits 8 Estimated correct digits 12 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 0.49255391251523994 Order of pole (three term test) 32.41403114944394 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7000000000000005 y[1] (closed_form) 1.2351578127155118 y[1] (numeric) 1.2351578127155116 absolute error 2.220446049250313e-16 relative error 1.797702306856345e-14% Desired digits 8 Estimated correct digits 12 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 0.4927248649942302 Order of pole (three term test) 32.415016428549876 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7010000000000005 y[1] (closed_form) 1.2358024127164418 y[1] (numeric) 1.2358024127164415 absolute error 2.220446049250313e-16 relative error 1.7967646173869386e-14% Desired digits 8 Estimated correct digits 12 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 0.49289384657441765 Order of pole (three term test) 32.41600204758999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7020000000000005 y[1] (closed_form) 1.2364477769148952 y[1] (numeric) 1.236447776914895 absolute error 2.220446049250313e-16 relative error 1.7958267956861283e-14% Desired digits 8 Estimated correct digits 12 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 0.49306085657987575 Order of pole (three term test) 32.41698800262179 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7030000000000005 y[1] (closed_form) 1.237093904665508 y[1] (numeric) 1.2370939046655078 absolute error 2.220446049250313e-16 relative error 1.7948888446351927e-14% Desired digits 8 Estimated correct digits 12 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 0.493225894342565 Order of pole (three term test) 32.417974289701476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7040000000000005 y[1] (closed_form) 1.2377407953221526 y[1] (numeric) 1.2377407953221524 absolute error 2.220446049250313e-16 relative error 1.793950767109027e-14% Desired digits 8 Estimated correct digits 12 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 0.4933889592023346 Order of pole (three term test) 32.418960904883896 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7050000000000005 y[1] (closed_form) 1.2383884482379386 y[1] (numeric) 1.2383884482379381 absolute error 4.440892098500626e-16 relative error 3.586025131952274e-14% Desired digits 8 Estimated correct digits 12 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 0.4935500505069253 Order of pole (three term test) 32.419947844222584 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7060000000000005 y[1] (closed_form) 1.2390368627652126 y[1] (numeric) 1.2390368627652122 absolute error 4.440892098500626e-16 relative error 3.584148488197271e-14% Desired digits 8 Estimated correct digits 12 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 0.49370916761197187 Order of pole (three term test) 32.42093510376979 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7070000000000005 y[1] (closed_form) 1.2396860382555608 y[1] (numeric) 1.2396860382555601 absolute error 6.661338147750939e-16 relative error 5.3734074129966987e-14% Desired digits 8 Estimated correct digits 12 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 0.49386630988100627 Order of pole (three term test) 32.421922679576475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7080000000000005 y[1] (closed_form) 1.240335974059807 y[1] (numeric) 1.2403359740598066 absolute error 4.440892098500626e-16 relative error 3.580394499052475e-14% Desired digits 8 Estimated correct digits 12 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 0.49402147668545987 Order of pole (three term test) 32.422910567692334 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7090000000000005 y[1] (closed_form) 1.240986669528016 y[1] (numeric) 1.2409866695280156 absolute error 4.440892098500626e-16 relative error 3.57851716504709e-14% Desired digits 8 Estimated correct digits 12 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 0.49417466740466537 Order of pole (three term test) 32.42389876416582 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7100000000000005 y[1] (closed_form) 1.241638124009492 y[1] (numeric) 1.2416381240094918 absolute error 2.220446049250313e-16 relative error 1.788319806160638e-14% Desired digits 8 Estimated correct digits 12 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 0.49432588142586004 Order of pole (three term test) 32.42488726504416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7110000000000005 y[1] (closed_form) 1.2422903368527811 y[1] (numeric) 1.2422903368527807 absolute error 4.440892098500626e-16 relative error 3.574761846535154e-14% Desired digits 8 Estimated correct digits 12 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 0.49447511814418804 Order of pole (three term test) 32.42587606637333 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7120000000000005 y[1] (closed_form) 1.2429433074056702 y[1] (numeric) 1.2429433074056697 absolute error 4.440892098500626e-16 relative error 3.5728838733359975e-14% Desired digits 8 Estimated correct digits 12 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 0.4946223769627029 Order of pole (three term test) 32.426865164198134 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7130000000000005 y[1] (closed_form) 1.2435970350151886 y[1] (numeric) 1.2435970350151881 absolute error 4.440892098500626e-16 relative error 3.5710056983582204e-14% Desired digits 8 Estimated correct digits 12 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 0.4947676572923694 Order of pole (three term test) 32.42785455456219 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7140000000000005 y[1] (closed_form) 1.244251519027609 y[1] (numeric) 1.2442515190276087 absolute error 4.440892098500626e-16 relative error 3.569127327223368e-14% Desired digits 8 Estimated correct digits 12 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 0.4949109585520663 Order of pole (three term test) 32.42884423350792 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7150000000000005 y[1] (closed_form) 1.2449067587884475 y[1] (numeric) 1.244906758788447 absolute error 4.440892098500626e-16 relative error 3.567248765540108e-14% Desired digits 8 Estimated correct digits 12 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 0.495052280168589 Order of pole (three term test) 32.42983419707663 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7160000000000005 y[1] (closed_form) 1.2455627536424643 y[1] (numeric) 1.2455627536424638 absolute error 4.440892098500626e-16 relative error 3.5653700189042206e-14% Desired digits 8 Estimated correct digits 12 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 0.49519162157665103 Order of pole (three term test) 32.43082444130846 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7170000000000005 y[1] (closed_form) 1.2462195029336645 y[1] (numeric) 1.246219502933664 absolute error 4.440892098500626e-16 relative error 3.5634910928985935e-14% Desired digits 8 Estimated correct digits 12 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 0.4953289822188871 Order of pole (three term test) 32.43181496224243 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7180000000000005 y[1] (closed_form) 1.246877006005299 y[1] (numeric) 1.2468770060052985 absolute error 4.440892098500626e-16 relative error 3.561611993093209e-14% Desired digits 8 Estimated correct digits 12 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 0.49546436154585455 Order of pole (three term test) 32.432805755916455 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7190000000000005 y[1] (closed_form) 1.2475352621998645 y[1] (numeric) 1.247535262199864 absolute error 4.440892098500626e-16 relative error 3.5597327250451394e-14% Desired digits 8 Estimated correct digits 12 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 0.49559775901603664 Order of pole (three term test) 32.43379681836738 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7200000000000005 y[1] (closed_form) 1.2481942708591054 y[1] (numeric) 1.248194270859105 absolute error 4.440892098500626e-16 relative error 3.5578532942985353e-14% Desired digits 8 Estimated correct digits 12 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 0.4957291740958432 Order of pole (three term test) 32.434788145630925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7210000000000005 y[1] (closed_form) 1.2488540313240126 y[1] (numeric) 1.2488540313240122 absolute error 4.440892098500626e-16 relative error 3.555973706384622e-14% Desired digits 8 Estimated correct digits 12 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 0.49585860625961464 Order of pole (three term test) 32.43577973374181 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7220000000000005 y[1] (closed_form) 1.249514542934826 y[1] (numeric) 1.2495145429348256 absolute error 4.440892098500626e-16 relative error 3.55409396682169e-14% Desired digits 8 Estimated correct digits 12 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 0.495986054989622 Order of pole (three term test) 32.436771578733676 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7230000000000005 y[1] (closed_form) 1.2501758050310339 y[1] (numeric) 1.2501758050310334 absolute error 4.440892098500626e-16 relative error 3.5522140811150854e-14% Desired digits 8 Estimated correct digits 12 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 0.4961115197760709 Order of pole (three term test) 32.43776367663914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7240000000000005 y[1] (closed_form) 1.2508378169513743 y[1] (numeric) 1.2508378169513739 absolute error 4.440892098500626e-16 relative error 3.5503340547572075e-14% Desired digits 8 Estimated correct digits 12 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 0.496235000117102 Order of pole (three term test) 32.43875602348982 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7250000000000005 y[1] (closed_form) 1.2515005780338353 y[1] (numeric) 1.2515005780338349 absolute error 4.440892098500626e-16 relative error 3.548453893227497e-14% Desired digits 8 Estimated correct digits 12 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 0.4963564955187943 Order of pole (three term test) 32.43974861531632 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7260000000000005 y[1] (closed_form) 1.2521640876156557 y[1] (numeric) 1.2521640876156555 absolute error 2.220446049250313e-16 relative error 1.7732868009962173e-14% Desired digits 8 Estimated correct digits 12 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 0.4964760054951665 Order of pole (three term test) 32.44074144814828 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7270000000000005 y[1] (closed_form) 1.2528283450333264 y[1] (numeric) 1.2528283450333262 absolute error 2.220446049250313e-16 relative error 1.772346593252763e-14% Desired digits 8 Estimated correct digits 12 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 0.49659352956817837 Order of pole (three term test) 32.44173451801436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7280000000000005 y[1] (closed_form) 1.2534933496225897 y[1] (numeric) 1.2534933496225895 absolute error 2.220446049250313e-16 relative error 1.7714063261036527e-14% Desired digits 8 Estimated correct digits 12 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 0.4967090672677343 Order of pole (three term test) 32.442727820942295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7290000000000005 y[1] (closed_form) 1.2541591007184412 y[1] (numeric) 1.254159100718441 absolute error 2.220446049250313e-16 relative error 1.7704660022626613e-14% Desired digits 8 Estimated correct digits 12 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 0.4968226181316835 Order of pole (three term test) 32.443721352958875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7300000000000005 y[1] (closed_form) 1.2548255976551301 y[1] (numeric) 1.2548255976551297 absolute error 4.440892098500626e-16 relative error 3.539051248874139e-14% Desired digits 8 Estimated correct digits 12 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 0.4969341817058225 Order of pole (three term test) 32.444715110089966 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7310000000000005 y[1] (closed_form) 1.2554928397661589 y[1] (numeric) 1.2554928397661587 absolute error 2.220446049250313e-16 relative error 1.7685851953276618e-14% Desired digits 8 Estimated correct digits 12 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 0.4970437575438973 Order of pole (three term test) 32.445709088360545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7320000000000005 y[1] (closed_form) 1.2561608263842858 y[1] (numeric) 1.2561608263842858 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4971513452076044 Order of pole (three term test) 32.44670328379469 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7330000000000005 y[1] (closed_form) 1.2568295568415246 y[1] (numeric) 1.2568295568415246 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.497256944266594 Order of pole (three term test) 32.44769769241564 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7340000000000005 y[1] (closed_form) 1.2574990304691447 y[1] (numeric) 1.2574990304691447 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49736055429846926 Order of pole (three term test) 32.44869231024574 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7350000000000005 y[1] (closed_form) 1.2581692465976722 y[1] (numeric) 1.2581692465976724 absolute error 2.220446049250313e-16 relative error 1.7648230198399934e-14% Desired digits 8 Estimated correct digits 12 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 0.49746217488879046 Order of pole (three term test) 32.44968713330653 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7360000000000005 y[1] (closed_form) 1.2588402045568914 y[1] (numeric) 1.2588402045568916 absolute error 2.220446049250313e-16 relative error 1.7638823745956737e-14% Desired digits 8 Estimated correct digits 12 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 0.49756180563107555 Order of pole (three term test) 32.45068215761873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7370000000000005 y[1] (closed_form) 1.2595119036758442 y[1] (numeric) 1.2595119036758444 absolute error 2.220446049250313e-16 relative error 1.7629416941356523e-14% Desired digits 8 Estimated correct digits 12 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 0.4976594461268014 Order of pole (three term test) 32.45167737920223 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7380000000000005 y[1] (closed_form) 1.2601843432828317 y[1] (numeric) 1.260184343282832 absolute error 2.220446049250313e-16 relative error 1.76200098111516e-14% Desired digits 8 Estimated correct digits 12 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 0.4977550959854063 Order of pole (three term test) 32.45267279407614 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7390000000000005 y[1] (closed_form) 1.2608575227054142 y[1] (numeric) 1.2608575227054144 absolute error 2.220446049250313e-16 relative error 1.761060238182912e-14% Desired digits 8 Estimated correct digits 12 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 0.49784875482429103 Order of pole (three term test) 32.45366839825882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7400000000000005 y[1] (closed_form) 1.2615314412704124 y[1] (numeric) 1.2615314412704126 absolute error 2.220446049250313e-16 relative error 1.7601194679811035e-14% Desired digits 8 Estimated correct digits 12 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 0.49794042226882 Order of pole (three term test) 32.45466418776785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7410000000000005 y[1] (closed_form) 1.2622060983039078 y[1] (numeric) 1.262206098303908 absolute error 2.220446049250313e-16 relative error 1.7591786731454097e-14% Desired digits 8 Estimated correct digits 12 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 0.49803009795232417 Order of pole (three term test) 32.45566015862006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7420000000000005 y[1] (closed_form) 1.2628814931312435 y[1] (numeric) 1.2628814931312438 absolute error 2.220446049250313e-16 relative error 1.7582378563049825e-14% Desired digits 8 Estimated correct digits 12 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 0.49811778151610037 Order of pole (three term test) 32.456656306831576 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7430000000000005 y[1] (closed_form) 1.2635576250770246 y[1] (numeric) 1.2635576250770248 absolute error 2.220446049250313e-16 relative error 1.75729702008245e-14% Desired digits 8 Estimated correct digits 12 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 0.49820347260941455 Order of pole (three term test) 32.45765262841781 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7440000000000005 y[1] (closed_form) 1.2642344934651193 y[1] (numeric) 1.2642344934651195 absolute error 2.220446049250313e-16 relative error 1.7563561670939143e-14% Desired digits 8 Estimated correct digits 12 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 0.49828717088950286 Order of pole (three term test) 32.45864911939347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7450000000000006 y[1] (closed_form) 1.2649120976186592 y[1] (numeric) 1.2649120976186594 absolute error 2.220446049250313e-16 relative error 1.7554152999489492e-14% Desired digits 8 Estimated correct digits 12 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 0.4983688760215717 Order of pole (three term test) 32.4596457757726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7460000000000006 y[1] (closed_form) 1.2655904368600401 y[1] (numeric) 1.2655904368600404 absolute error 2.220446049250313e-16 relative error 1.7544744212506002e-14% Desired digits 8 Estimated correct digits 12 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 0.4984485876788012 Order of pole (three term test) 32.46064259356858 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7470000000000006 y[1] (closed_form) 1.266269510510923 y[1] (numeric) 1.2662695105109232 absolute error 2.220446049250313e-16 relative error 1.7535335335953816e-14% Desired digits 8 Estimated correct digits 12 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 0.4985263055423444 Order of pole (three term test) 32.46163956879412 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7480000000000006 y[1] (closed_form) 1.2669493178922342 y[1] (numeric) 1.2669493178922344 absolute error 2.220446049250313e-16 relative error 1.7525926395732768e-14% Desired digits 8 Estimated correct digits 12 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 0.4986020293013302 Order of pole (three term test) 32.46263669746134 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7490000000000006 y[1] (closed_form) 1.2676298583241665 y[1] (numeric) 1.2676298583241667 absolute error 2.220446049250313e-16 relative error 1.7516517417677347e-14% Desired digits 8 Estimated correct digits 12 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 0.4986757586528635 Order of pole (three term test) 32.46363397558172 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7500000000000006 y[1] (closed_form) 1.2683111311261794 y[1] (numeric) 1.2683111311261797 absolute error 2.220446049250313e-16 relative error 1.750710842755672e-14% Desired digits 8 Estimated correct digits 12 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 0.49874749330202717 Order of pole (three term test) 32.46463139916615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7510000000000006 y[1] (closed_form) 1.2689931356170003 y[1] (numeric) 1.2689931356170006 absolute error 2.220446049250313e-16 relative error 1.7497699451074685e-14% Desired digits 8 Estimated correct digits 12 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 0.49881723296188274 Order of pole (three term test) 32.465628964224926 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7520000000000006 y[1] (closed_form) 1.2696758711146248 y[1] (numeric) 1.2696758711146248 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49888497735347154 Order of pole (three term test) 32.46662666676782 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7530000000000006 y[1] (closed_form) 1.270359336936317 y[1] (numeric) 1.270359336936317 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4989507262058159 Order of pole (three term test) 32.467624502803986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7540000000000006 y[1] (closed_form) 1.2710435323986116 y[1] (numeric) 1.2710435323986116 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49901447925592085 Order of pole (three term test) 32.468622468342105 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7550000000000006 y[1] (closed_form) 1.2717284568173128 y[1] (numeric) 1.271728456817313 absolute error 2.220446049250313e-16 relative error 1.7460064193320838e-14% Desired digits 8 Estimated correct digits 12 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 0.4990762362487743 Order of pole (three term test) 32.469620559390314 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7560000000000006 y[1] (closed_form) 1.2724141095074968 y[1] (numeric) 1.272414109507497 absolute error 2.220446049250313e-16 relative error 1.745065566830097e-14% Desired digits 8 Estimated correct digits 12 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 0.4991359969373478 Order of pole (three term test) 32.47061877195623 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7570000000000006 y[1] (closed_form) 1.2731004897835105 y[1] (numeric) 1.2731004897835108 absolute error 2.220446049250313e-16 relative error 1.744124730976969e-14% Desired digits 8 Estimated correct digits 12 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 0.4991937610825993 Order of pole (three term test) 32.47161710204703 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7580000000000006 y[1] (closed_form) 1.2737875969589743 y[1] (numeric) 1.2737875969589743 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.499249528453472 Order of pole (three term test) 32.47261554566938 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7590000000000006 y[1] (closed_form) 1.27447543034678 y[1] (numeric) 1.2744754303467802 absolute error 2.220446049250313e-16 relative error 1.742243119309203e-14% Desired digits 8 Estimated correct digits 12 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 0.49930329882689645 Order of pole (three term test) 32.47361409882951 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7600000000000006 y[1] (closed_form) 1.2751639892590951 y[1] (numeric) 1.2751639892590954 absolute error 2.220446049250313e-16 relative error 1.741302348524171e-14% Desired digits 8 Estimated correct digits 12 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 0.49935507198779155 Order of pole (three term test) 32.474612757533215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7610000000000006 y[1] (closed_form) 1.2758532730073608 y[1] (numeric) 1.2758532730073608 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4994048477290644 Order of pole (three term test) 32.47561151778586 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7620000000000006 y[1] (closed_form) 1.2765432809022927 y[1] (numeric) 1.276543280902293 absolute error 2.220446049250313e-16 relative error 1.7394208895767687e-14% Desired digits 8 Estimated correct digits 12 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 0.4994526258516123 Order of pole (three term test) 32.47661037559239 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7630000000000006 y[1] (closed_form) 1.2772340122538837 y[1] (numeric) 1.2772340122538839 absolute error 2.220446049250313e-16 relative error 1.738480206404761e-14% Desired digits 8 Estimated correct digits 12 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 0.4994984061643226 Order of pole (three term test) 32.477609326957385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7640000000000006 y[1] (closed_form) 1.2779254663714021 y[1] (numeric) 1.2779254663714024 absolute error 2.220446049250313e-16 relative error 1.737539557416557e-14% Desired digits 8 Estimated correct digits 12 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 0.4995421884840742 Order of pole (three term test) 32.478608367885045 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7650000000000006 y[1] (closed_form) 1.2786176425633942 y[1] (numeric) 1.2786176425633944 absolute error 2.220446049250313e-16 relative error 1.7365989450909854e-14% Desired digits 8 Estimated correct digits 12 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 0.499583972635738 Order of pole (three term test) 32.4796074943792 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7660000000000006 y[1] (closed_form) 1.2793105401376834 y[1] (numeric) 1.2793105401376836 absolute error 2.220446049250313e-16 relative error 1.7356583719003376e-14% Desired digits 8 Estimated correct digits 12 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 0.4996237584521773 Order of pole (three term test) 32.48060670244336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7670000000000006 y[1] (closed_form) 1.2800041584013724 y[1] (numeric) 1.2800041584013726 absolute error 2.220446049250313e-16 relative error 1.7347178403103634e-14% Desired digits 8 Estimated correct digits 12 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 0.4996615457742492 Order of pole (three term test) 32.48160598808068 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7680000000000006 y[1] (closed_form) 1.2806984966608432 y[1] (numeric) 1.2806984966608432 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.499697334450804 Order of pole (three term test) 32.482605347294026 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7690000000000006 y[1] (closed_form) 1.2813935542217572 y[1] (numeric) 1.2813935542217572 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49973112433868727 Order of pole (three term test) 32.48360477608596 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7700000000000006 y[1] (closed_form) 1.282089330389057 y[1] (numeric) 1.282089330389057 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4997629153027396 Order of pole (three term test) 32.48460427045877 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7710000000000006 y[1] (closed_form) 1.2827858244669668 y[1] (numeric) 1.2827858244669668 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4997927072157969 Order of pole (three term test) 32.48560382641447 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7720000000000006 y[1] (closed_form) 1.2834830357589921 y[1] (numeric) 1.2834830357589921 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4998204999586918 Order of pole (three term test) 32.48660343995485 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7730000000000006 y[1] (closed_form) 1.2841809635679222 y[1] (numeric) 1.2841809635679222 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49984629342025333 Order of pole (three term test) 32.487603107081455 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7740000000000006 y[1] (closed_form) 1.284879607195829 y[1] (numeric) 1.284879607195829 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4998700874973077 Order of pole (three term test) 32.48860282379561 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7750000000000006 y[1] (closed_form) 1.285578965944069 y[1] (numeric) 1.285578965944069 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4998918820946785 Order of pole (three term test) 32.48960258609846 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7760000000000006 y[1] (closed_form) 1.2862790391132837 y[1] (numeric) 1.2862790391132837 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49991167712518747 Order of pole (three term test) 32.49060238999093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7770000000000006 y[1] (closed_form) 1.2869798260033996 y[1] (numeric) 1.2869798260033996 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4999294725096544 Order of pole (three term test) 32.49160223147386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7780000000000006 y[1] (closed_form) 1.28768132591363 y[1] (numeric) 1.2876813259136302 absolute error 2.220446049250313e-16 relative error 1.7243754371252312e-14% Desired digits 8 Estimated correct digits 12 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 0.49994526817689794 Order of pole (three term test) 32.492602106547835 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7790000000000006 y[1] (closed_form) 1.2883835381424753 y[1] (numeric) 1.2883835381424753 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4999590640637354 Order of pole (three term test) 32.493602011213376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7800000000000006 y[1] (closed_form) 1.289086461987723 y[1] (numeric) 1.2890864619877231 absolute error 2.220446049250313e-16 relative error 1.722495825319947e-14% Desired digits 8 Estimated correct digits 12 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 0.4999708601149831 Order of pole (three term test) 32.49460194147087 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7810000000000006 y[1] (closed_form) 1.2897900967464495 y[1] (numeric) 1.2897900967464497 absolute error 2.220446049250313e-16 relative error 1.7215561313825272e-14% Desired digits 8 Estimated correct digits 12 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 0.49998065628345706 Order of pole (three term test) 32.495601893320575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7820000000000006 y[1] (closed_form) 1.2904944417150204 y[1] (numeric) 1.2904944417150204 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4999884525299725 Order of pole (three term test) 32.49660186276272 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7830000000000006 y[1] (closed_form) 1.29119949618909 y[1] (numeric) 1.2911994961890902 absolute error 2.220446049250313e-16 relative error 1.719676979276903e-14% Desired digits 8 Estimated correct digits 12 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 0.4999942488233445 Order of pole (three term test) 32.4976018457974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7840000000000006 y[1] (closed_form) 1.2919052594636047 y[1] (numeric) 1.2919052594636047 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49999804514038787 Order of pole (three term test) 32.4986018384247 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7850000000000006 y[1] (closed_form) 1.2926117308328007 y[1] (numeric) 1.2926117308328007 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4999998414659173 Order of pole (three term test) 32.499601836644636 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7860000000000006 y[1] (closed_form) 1.293318909590207 y[1] (numeric) 1.293318909590207 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4999996377927476 Order of pole (three term test) 32.50060183645723 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7870000000000006 y[1] (closed_form) 1.2940267950286448 y[1] (numeric) 1.2940267950286446 absolute error 2.220446049250313e-16 relative error 1.715919684028769e-14% Desired digits 8 Estimated correct digits 12 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 0.4999974341216933 Order of pole (three term test) 32.50160183386247 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7880000000000006 y[1] (closed_form) 1.2947353864402287 y[1] (numeric) 1.2947353864402285 absolute error 2.220446049250313e-16 relative error 1.7149805840676462e-14% Desired digits 8 Estimated correct digits 12 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 0.49999323046156924 Order of pole (three term test) 32.50260182486039 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7890000000000006 y[1] (closed_form) 1.2954446831163673 y[1] (numeric) 1.2954446831163673 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49998702682919 Order of pole (three term test) 32.503601805451005 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7900000000000006 y[1] (closed_form) 1.2961546843477643 y[1] (numeric) 1.2961546843477643 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49997882324937 Order of pole (three term test) 32.504601771634405 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7910000000000006 y[1] (closed_form) 1.2968653894244182 y[1] (numeric) 1.2968653894244182 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49996861975492374 Order of pole (three term test) 32.50560171941072 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7920000000000006 y[1] (closed_form) 1.297576797635624 y[1] (numeric) 1.297576797635624 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49995641638666505 Order of pole (three term test) 32.506601644780176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7930000000000006 y[1] (closed_form) 1.2982889082699738 y[1] (numeric) 1.2982889082699738 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4999422131934074 Order of pole (three term test) 32.50760154374306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7940000000000006 y[1] (closed_form) 1.2990017206153568 y[1] (numeric) 1.2990017206153568 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49992601023196354 Order of pole (three term test) 32.50860141229977 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7950000000000006 y[1] (closed_form) 1.2997152339589606 y[1] (numeric) 1.2997152339589608 absolute error 2.220446049250313e-16 relative error 1.7084096510023865e-14% Desired digits 8 Estimated correct digits 12 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 0.4999078075671455 Order of pole (three term test) 32.50960124645085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7960000000000006 y[1] (closed_form) 1.3004294475872724 y[1] (numeric) 1.3004294475872724 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49988760527176357 Order of pole (three term test) 32.51060104219695 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7970000000000006 y[1] (closed_form) 1.3011443607860782 y[1] (numeric) 1.3011443607860782 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4998654034266272 Order of pole (three term test) 32.51160079553891 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7980000000000006 y[1] (closed_form) 1.3018599728404647 y[1] (numeric) 1.301859972840465 absolute error 2.220446049250313e-16 relative error 1.70559514507972e-14% Desired digits 8 Estimated correct digits 12 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 0.4998412021205434 Order of pole (three term test) 32.51260050247768 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7990000000000006 y[1] (closed_form) 1.3025762830348204 y[1] (numeric) 1.3025762830348206 absolute error 2.220446049250313e-16 relative error 1.7046572075433343e-14% Desired digits 8 Estimated correct digits 12 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 0.4998150014503177 Order of pole (three term test) 32.51360015901447 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8000000000000006 y[1] (closed_form) 1.3032932906528352 y[1] (numeric) 1.3032932906528352 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49978680152075255 Order of pole (three term test) 32.51459976115064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8010000000000006 y[1] (closed_form) 1.3040109949775007 y[1] (numeric) 1.304010994977501 absolute error 2.220446049250313e-16 relative error 1.702781692641038e-14% Desired digits 8 Estimated correct digits 12 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 0.49975660244464787 Order of pole (three term test) 32.51559930488779 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8020000000000006 y[1] (closed_form) 1.3047293952911136 y[1] (numeric) 1.3047293952911139 absolute error 2.220446049250313e-16 relative error 1.701844119757019e-14% Desired digits 8 Estimated correct digits 12 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 0.4997244043427996 Order of pole (three term test) 32.51659878622774 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8030000000000006 y[1] (closed_form) 1.3054484908752733 y[1] (numeric) 1.3054484908752735 absolute error 2.220446049250313e-16 relative error 1.7009066728948875e-14% Desired digits 8 Estimated correct digits 12 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 0.4996902073440003 Order of pole (three term test) 32.51759820117257 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8040000000000006 y[1] (closed_form) 1.3061682810108841 y[1] (numeric) 1.3061682810108843 absolute error 2.220446049250313e-16 relative error 1.699969354279405e-14% Desired digits 8 Estimated correct digits 12 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 0.49965401158503775 Order of pole (three term test) 32.5185975457246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8050000000000006 y[1] (closed_form) 1.3068887649781562 y[1] (numeric) 1.3068887649781564 absolute error 2.220446049250313e-16 relative error 1.6990321661288643e-14% Desired digits 8 Estimated correct digits 12 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 0.4996158172106952 Order of pole (three term test) 32.51959681588649 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8060000000000006 y[1] (closed_form) 1.3076099420566054 y[1] (numeric) 1.3076099420566056 absolute error 2.220446049250313e-16 relative error 1.6980951106550944e-14% Desired digits 8 Estimated correct digits 12 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 0.49957562437374997 Order of pole (three term test) 32.52059600766115 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8070000000000006 y[1] (closed_form) 1.308331811525055 y[1] (numeric) 1.308331811525055 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49953343323497335 Order of pole (three term test) 32.52159511705179 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8080000000000006 y[1] (closed_form) 1.3090543726616355 y[1] (numeric) 1.3090543726616355 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49948924396312966 Order of pole (three term test) 32.52259414006199 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8090000000000006 y[1] (closed_form) 1.3097776247437856 y[1] (numeric) 1.3097776247437856 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.49944305673497635 Order of pole (three term test) 32.52359307269567 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8100000000000006 y[1] (closed_form) 1.3105015670482534 y[1] (numeric) 1.3105015670482534 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.499394871735262 Order of pole (three term test) 32.524591910957085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8110000000000006 y[1] (closed_form) 1.311226198851097 y[1] (numeric) 1.3112261988510967 absolute error 2.220446049250313e-16 relative error 1.6934119003997016e-14% Desired digits 8 Estimated correct digits 12 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 0.4993446891567265 Order of pole (three term test) 32.525590650850894 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8120000000000006 y[1] (closed_form) 1.311951519427684 y[1] (numeric) 1.3119515194276838 absolute error 2.220446049250313e-16 relative error 1.6924756870733637e-14% Desired digits 8 Estimated correct digits 12 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 0.4992925092001001 Order of pole (three term test) 32.52658928838212 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8130000000000006 y[1] (closed_form) 1.3126775280526943 y[1] (numeric) 1.312677528052694 absolute error 2.220446049250313e-16 relative error 1.6915396217258763e-14% Desired digits 8 Estimated correct digits 12 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 0.49923833207410273 Order of pole (three term test) 32.527587819556246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8140000000000006 y[1] (closed_form) 1.3134042240001191 y[1] (numeric) 1.3134042240001191 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 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 0.4991821579954427 Order of pole (three term test) 32.52858624037912 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8150000000000006 y[1] (closed_form) 1.314131606543263 y[1] (numeric) 1.3141316065432629 absolute error 2.220446049250313e-16 relative error 1.6896679436019734e-14% Desired digits 8 Estimated correct digits 12 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 0.4991239871888161 Order of pole (three term test) 32.52958454685707 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8160000000000006 y[1] (closed_form) 1.3148596749547432 y[1] (numeric) 1.314859674954743 absolute error 2.220446049250313e-16 relative error 1.6887323351267424e-14% Desired digits 8 Estimated correct digits 12 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 0.49906381988690646 Order of pole (three term test) 32.530582734996884 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8170000000000006 y[1] (closed_form) 1.3155884285064912 y[1] (numeric) 1.315588428506491 absolute error 2.220446049250313e-16 relative error 1.6877968832327393e-14% Desired digits 8 Estimated correct digits 12 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 0.4990016563303827 Order of pole (three term test) 32.53158080080579 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8180000000000006 y[1] (closed_form) 1.316317866469754 y[1] (numeric) 1.3163178664697535 absolute error 4.440892098500626e-16 relative error 3.3737231801089956e-14% Desired digits 8 Estimated correct digits 12 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 0.4989374967678987 Order of pole (three term test) 32.53257874029153 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8190000000000006 y[1] (closed_form) 1.317047988115093 y[1] (numeric) 1.3170479881150925 absolute error 4.440892098500626e-16 relative error 3.371852915440276e-14% Desired digits 8 Estimated correct digits 12 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 0.49887134145609313 Order of pole (three term test) 32.53357654946236 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8200000000000006 y[1] (closed_form) 1.317778792712387 y[1] (numeric) 1.3177787927123865 absolute error 4.440892098500626e-16 relative error 3.369982976702735e-14% Desired digits 8 Estimated correct digits 12 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 0.4988031906595869 Order of pole (three term test) 32.53457422432704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8210000000000006 y[1] (closed_form) 1.3185102795308312 y[1] (numeric) 1.318510279530831 absolute error 2.220446049250313e-16 relative error 1.6840566840634872e-14% Desired digits 8 Estimated correct digits 12 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 0.49873304465098284 Order of pole (three term test) 32.535571760894854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8220000000000006 y[1] (closed_form) 1.3192424478389395 y[1] (numeric) 1.319242447838939 absolute error 4.440892098500626e-16 relative error 3.366244093930788e-14% Desired digits 8 Estimated correct digits 12 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 0.4986609037108654 Order of pole (three term test) 32.536569155175684 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8230000000000006 y[1] (closed_form) 1.319975296904543 y[1] (numeric) 1.3199752969045426 absolute error 4.440892098500626e-16 relative error 3.364375158319178e-14% Desired digits 8 Estimated correct digits 12 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 0.49858676812779795 Order of pole (three term test) 32.53756640317994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8240000000000006 y[1] (closed_form) 1.3207088259947932 y[1] (numeric) 1.3207088259947926 absolute error 6.661338147750939e-16 relative error 5.043759848226532e-14% Desired digits 8 Estimated correct digits 12 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 0.49851063819832264 Order of pole (three term test) 32.53856350091863 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8250000000000006 y[1] (closed_form) 1.3214430343761605 y[1] (numeric) 1.32144303437616 absolute error 4.440892098500626e-16 relative error 3.360638319605752e-14% Desired digits 8 Estimated correct digits 12 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 0.4984325142269594 Order of pole (three term test) 32.53956044440337 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8260000000000006 y[1] (closed_form) 1.3221779213144371 y[1] (numeric) 1.3221779213144365 absolute error 6.661338147750939e-16 relative error 5.0381556372750504e-14% Desired digits 8 Estimated correct digits 12 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 0.4983523965262037 Order of pole (three term test) 32.54055722964638 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8270000000000006 y[1] (closed_form) 1.3229134860747358 y[1] (numeric) 1.3229134860747351 absolute error 6.661338147750939e-16 relative error 5.0353543280566554e-14% Desired digits 8 Estimated correct digits 12 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 0.49827028541652646 Order of pole (three term test) 32.541553852660535 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8280000000000006 y[1] (closed_form) 1.323649727921492 y[1] (numeric) 1.3236497279214914 absolute error 6.661338147750939e-16 relative error 5.032553557965174e-14% Desired digits 8 Estimated correct digits 12 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 0.4981861812263719 Order of pole (three term test) 32.54255030945932 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8290000000000006 y[1] (closed_form) 1.324386646118464 y[1] (numeric) 1.3243866461184632 absolute error 6.661338147750939e-16 relative error 5.029753333193225e-14% Desired digits 8 Estimated correct digits 12 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 0.49810008429215663 Order of pole (three term test) 32.54354659605694 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8300000000000006 y[1] (closed_form) 1.3251242399287335 y[1] (numeric) 1.3251242399287326 absolute error 8.881784197001252e-16 relative error 6.702604879885771e-14% Desired digits 8 Estimated correct digits 12 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 0.49801199495826826 Order of pole (three term test) 32.54454270846823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8310000000000006 y[1] (closed_form) 1.3258625086147067 y[1] (numeric) 1.325862508614706 absolute error 6.661338147750939e-16 relative error 5.024154544282927e-14% Desired digits 8 Estimated correct digits 12 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 0.4979219135770642 Order of pole (three term test) 32.54553864270875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8320000000000006 y[1] (closed_form) 1.3266014514381153 y[1] (numeric) 1.3266014514381146 absolute error 6.661338147750939e-16 relative error 5.02135599243439e-14% Desired digits 8 Estimated correct digits 12 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 0.4978298405088697 Order of pole (three term test) 32.54653439479475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8330000000000006 y[1] (closed_form) 1.3273410676600161 y[1] (numeric) 1.3273410676600155 absolute error 6.661338147750939e-16 relative error 5.01855801048504e-14% Desired digits 8 Estimated correct digits 12 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 0.49773577612197695 Order of pole (three term test) 32.54752996074323 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8340000000000006 y[1] (closed_form) 1.3280813565407934 y[1] (numeric) 1.3280813565407927 absolute error 6.661338147750939e-16 relative error 5.0157606045321586e-14% Desired digits 8 Estimated correct digits 12 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 0.4976397207926434 Order of pole (three term test) 32.54852533657194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8350000000000006 y[1] (closed_form) 1.3288223173401583 y[1] (numeric) 1.3288223173401574 absolute error 8.881784197001252e-16 relative error 6.683951707538677e-14% Desired digits 8 Estimated correct digits 12 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 0.49754167490509 Order of pole (three term test) 32.54952051829937 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8360000000000006 y[1] (closed_form) 1.3295639493171496 y[1] (numeric) 1.329563949317149 absolute error 6.661338147750939e-16 relative error 5.0101675449098435e-14% Desired digits 8 Estimated correct digits 12 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 0.4974416388515006 Order of pole (three term test) 32.55051550194479 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8370000000000006 y[1] (closed_form) 1.330306251730136 y[1] (numeric) 1.3303062517301352 absolute error 8.881784197001252e-16 relative error 6.676495871119906e-14% Desired digits 8 Estimated correct digits 12 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 0.497339613032019 Order of pole (three term test) 32.55151028352826 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8380000000000006 y[1] (closed_form) 1.3310492238368146 y[1] (numeric) 1.331049223836814 absolute error 6.661338147750939e-16 relative error 5.0045768619655596e-14% Desired digits 8 Estimated correct digits 12 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 0.49723559785474813 Order of pole (three term test) 32.55250485907067 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8390000000000006 y[1] (closed_form) 1.3317928648942137 y[1] (numeric) 1.331792864894213 absolute error 6.661338147750939e-16 relative error 5.0017824267890636e-14% Desired digits 8 Estimated correct digits 12 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 0.4971295937357491 Order of pole (three term test) 32.553499224593715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8400000000000006 y[1] (closed_form) 1.3325371741586922 y[1] (numeric) 1.3325371741586916 absolute error 6.661338147750939e-16 relative error 4.998988603793832e-14% Desired digits 8 Estimated correct digits 12 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 0.49702160109903787 Order of pole (three term test) 32.55449337611993 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8410000000000006 y[1] (closed_form) 1.3332821508859412 y[1] (numeric) 1.3332821508859403 absolute error 8.881784197001252e-16 relative error 6.661593865259106e-14% Desired digits 8 Estimated correct digits 12 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 0.49691162037658515 Order of pole (three term test) 32.55548730967273 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8420000000000006 y[1] (closed_form) 1.3340277943309835 y[1] (numeric) 1.3340277943309826 absolute error 8.881784197001252e-16 relative error 6.657870424248153e-14% Desired digits 8 Estimated correct digits 12 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 0.4967996520083132 Order of pole (three term test) 32.55648102127635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8430000000000006 y[1] (closed_form) 1.334774103748176 y[1] (numeric) 1.334774103748175 absolute error 8.881784197001252e-16 relative error 6.654147823261131e-14% Desired digits 8 Estimated correct digits 12 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 0.4966856964420957 Order of pole (three term test) 32.55747450695596 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8440000000000006 y[1] (closed_form) 1.3355210783912095 y[1] (numeric) 1.3355210783912084 absolute error 1.1102230246251565e-15 relative error 8.313032587718864e-14% Desired digits 8 Estimated correct digits 12 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 0.4965697541337546 Order of pole (three term test) 32.55846776273762 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8450000000000006 y[1] (closed_form) 1.336268717513109 y[1] (numeric) 1.3362687175131078 absolute error 1.1102230246251565e-15 relative error 8.308381466052431e-14% Desired digits 8 Estimated correct digits 12 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 0.49645182554705924 Order of pole (three term test) 32.55946078464831 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8460000000000006 y[1] (closed_form) 1.3370170203662357 y[1] (numeric) 1.3370170203662346 absolute error 1.1102230246251565e-15 relative error 8.30373142386059e-14% Desired digits 8 Estimated correct digits 12 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 0.4963319111537235 Order of pole (three term test) 32.560453568715936 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8470000000000006 y[1] (closed_form) 1.3377659862022868 y[1] (numeric) 1.3377659862022857 absolute error 1.1102230246251565e-15 relative error 8.299082470895452e-14% Desired digits 8 Estimated correct digits 12 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 0.4962100114334049 Order of pole (three term test) 32.56144611096937 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8480000000000006 y[1] (closed_form) 1.3385156142722965 y[1] (numeric) 1.3385156142722954 absolute error 1.1102230246251565e-15 relative error 8.294434616877782e-14% Desired digits 8 Estimated correct digits 12 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 0.4960861268737023 Order of pole (three term test) 32.56243840743844 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8490000000000006 y[1] (closed_form) 1.3392659038266368 y[1] (numeric) 1.3392659038266357 absolute error 1.1102230246251565e-15 relative error 8.289787871497033e-14% Desired digits 8 Estimated correct digits 12 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 0.4959602579701535 Order of pole (three term test) 32.56343045415397 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8500000000000006 y[1] (closed_form) 1.3400168541150184 y[1] (numeric) 1.340016854115017 absolute error 1.3322676295501878e-15 relative error 9.942170693293643e-14% Desired digits 8 Estimated correct digits 12 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 0.49583240522623423 Order of pole (three term test) 32.56442224714776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8510000000000006 y[1] (closed_form) 1.3407684643864908 y[1] (numeric) 1.3407684643864894 absolute error 1.3322676295501878e-15 relative error 9.936597294297247e-14% Desired digits 8 Estimated correct digits 12 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 0.4957025691533552 Order of pole (three term test) 32.56541378245266 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8520000000000006 y[1] (closed_form) 1.3415207338894437 y[1] (numeric) 1.3415207338894424 absolute error 1.3322676295501878e-15 relative error 9.931025260322078e-14% Desired digits 8 Estimated correct digits 12 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 0.49557075027086034 Order of pole (three term test) 32.566405056102504 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8530000000000006 y[1] (closed_form) 1.3422736618716078 y[1] (numeric) 1.3422736618716067 absolute error 1.1102230246251565e-15 relative error 8.271212169037945e-14% Desired digits 8 Estimated correct digits 12 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 0.49543694910602526 Order of pole (three term test) 32.56739606413221 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8540000000000006 y[1] (closed_form) 1.3430272475800555 y[1] (numeric) 1.3430272475800542 absolute error 1.3322676295501878e-15 relative error 9.919885333307608e-14% Desired digits 8 Estimated correct digits 12 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 0.4953011661940543 Order of pole (three term test) 32.56838680257776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8550000000000006 y[1] (closed_form) 1.3437814902612009 y[1] (numeric) 1.3437814902611995 absolute error 1.3322676295501878e-15 relative error 9.914317463110948e-14% Desired digits 8 Estimated correct digits 12 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 0.49516340207807896 Order of pole (three term test) 32.569377267476185 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8560000000000006 y[1] (closed_form) 1.344536389160801 y[1] (numeric) 1.3445363891607998 absolute error 1.3322676295501878e-15 relative error 9.908751003620877e-14% Desired digits 8 Estimated correct digits 12 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 0.49502365730915554 Order of pole (three term test) 32.57036745486565 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8570000000000007 y[1] (closed_form) 1.3452919435239576 y[1] (numeric) 1.3452919435239563 absolute error 1.3322676295501878e-15 relative error 9.903185966165434e-14% Desired digits 8 Estimated correct digits 12 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 0.49488193244626294 Order of pole (three term test) 32.57135736078536 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8580000000000007 y[1] (closed_form) 1.346048152595116 y[1] (numeric) 1.3460481525951147 absolute error 1.3322676295501878e-15 relative error 9.897622362035415e-14% Desired digits 8 Estimated correct digits 12 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 0.49473822805630036 Order of pole (three term test) 32.57234698127574 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8590000000000007 y[1] (closed_form) 1.3468050156180673 y[1] (numeric) 1.346805015618066 absolute error 1.3322676295501878e-15 relative error 9.892060202484411e-14% Desired digits 8 Estimated correct digits 12 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 0.4945925447140852 Order of pole (three term test) 32.57333631237829 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8600000000000007 y[1] (closed_form) 1.3475625318359485 y[1] (numeric) 1.3475625318359472 absolute error 1.3322676295501878e-15 relative error 9.886499498728844e-14% Desired digits 8 Estimated correct digits 12 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 0.4944448830023506 Order of pole (three term test) 32.57432535013568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8610000000000007 y[1] (closed_form) 1.3483207004912439 y[1] (numeric) 1.3483207004912423 absolute error 1.5543122344752192e-15 relative error 1.1527763638939347e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.49429524351174337 Order of pole (three term test) 32.575314090591775 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8620000000000007 y[1] (closed_form) 1.349079520825784 y[1] (numeric) 1.3490795208257826 absolute error 1.3322676295501878e-15 relative error 9.875382503284125e-14% Desired digits 8 Estimated correct digits 12 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 0.494143626840821 Order of pole (three term test) 32.57630252979161 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8630000000000007 y[1] (closed_form) 1.3498389920807492 y[1] (numeric) 1.3498389920807479 absolute error 1.3322676295501878e-15 relative error 9.869826233842338e-14% Desired digits 8 Estimated correct digits 12 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 0.4939900335960502 Order of pole (three term test) 32.577290663781426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8640000000000007 y[1] (closed_form) 1.3505991134966682 y[1] (numeric) 1.3505991134966668 absolute error 1.3322676295501878e-15 relative error 9.864271464690802e-14% Desired digits 8 Estimated correct digits 12 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 0.49383446439180373 Order of pole (three term test) 32.57827848860869 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8650000000000007 y[1] (closed_form) 1.3513598843134196 y[1] (numeric) 1.3513598843134182 absolute error 1.3322676295501878e-15 relative error 9.8587182068607e-14% Desired digits 8 Estimated correct digits 12 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 0.4936769198503582 Order of pole (three term test) 32.5792660003221 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8660000000000007 y[1] (closed_form) 1.3521213037702324 y[1] (numeric) 1.3521213037702313 absolute error 1.1102230246251565e-15 relative error 8.210972059455238e-14% Desired digits 8 Estimated correct digits 12 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 0.49351740060189137 Order of pole (three term test) 32.58025319497162 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8670000000000007 y[1] (closed_form) 1.3528833711056878 y[1] (numeric) 1.3528833711056865 absolute error 1.3322676295501878e-15 relative error 9.847616269104919e-14% Desired digits 8 Estimated correct digits 12 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 0.4933559072844802 Order of pole (three term test) 32.581240068608466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8680000000000007 y[1] (closed_form) 1.353646085557718 y[1] (numeric) 1.3536460855577166 absolute error 1.3322676295501878e-15 relative error 9.842067611057125e-14% Desired digits 8 Estimated correct digits 12 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 0.4931924405440976 Order of pole (three term test) 32.58222661728514 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8690000000000007 y[1] (closed_form) 1.3544094463636087 y[1] (numeric) 1.3544094463636074 absolute error 1.3322676295501878e-15 relative error 9.836520508086617e-14% Desired digits 8 Estimated correct digits 12 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 0.4930270010346105 Order of pole (three term test) 32.583212837055456 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8700000000000007 y[1] (closed_form) 1.3551734527599995 y[1] (numeric) 1.355173452759998 absolute error 1.5543122344752192e-15 relative error 1.1469470799547068e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4928595894177766 Order of pole (three term test) 32.58419872397454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8710000000000007 y[1] (closed_form) 1.3559381039828833 y[1] (numeric) 1.355938103982882 absolute error 1.3322676295501878e-15 relative error 9.825431010728538e-14% Desired digits 8 Estimated correct digits 12 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 0.49269020636324223 Order of pole (three term test) 32.58518427409884 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8720000000000007 y[1] (closed_form) 1.3567033992676099 y[1] (numeric) 1.3567033992676083 absolute error 1.5543122344752192e-15 relative error 1.1456536744245534e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4925188525485394 Order of pole (three term test) 32.586169483486145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8730000000000007 y[1] (closed_form) 1.3574693378488836 y[1] (numeric) 1.3574693378488818 absolute error 1.7763568394002505e-15 relative error 1.30857971511545e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4923455286590829 Order of pole (three term test) 32.58715434819565 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8740000000000007 y[1] (closed_form) 1.3582359189607658 y[1] (numeric) 1.358235918960764 absolute error 1.7763568394002505e-15 relative error 1.3078411597003e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.49217023538816834 Order of pole (three term test) 32.58813886428787 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8750000000000007 y[1] (closed_form) 1.3590031418366753 y[1] (numeric) 1.3590031418366737 absolute error 1.5543122344752192e-15 relative error 1.1437149677038907e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4919929734369684 Order of pole (three term test) 32.589123027824755 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8760000000000007 y[1] (closed_form) 1.35977100570939 y[1] (numeric) 1.3597710057093881 absolute error 1.7763568394002505e-15 relative error 1.3063646981305713e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4918137435145306 Order of pole (three term test) 32.59010683486964 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8770000000000007 y[1] (closed_form) 1.3605395098110453 y[1] (numeric) 1.3605395098110435 absolute error 1.7763568394002505e-15 relative error 1.3056267948050657e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.49163254633777465 Order of pole (three term test) 32.5910902814873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8780000000000007 y[1] (closed_form) 1.3613086533731376 y[1] (numeric) 1.3613086533731358 absolute error 1.7763568394002505e-15 relative error 1.304889111663751e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4914493826314887 Order of pole (three term test) 32.59207336374396 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8790000000000007 y[1] (closed_form) 1.3620784356265232 y[1] (numeric) 1.3620784356265214 absolute error 1.7763568394002505e-15 relative error 1.3041516501090256e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4912642531283277 Order of pole (three term test) 32.59305607770729 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8800000000000007 y[1] (closed_form) 1.3628488558014205 y[1] (numeric) 1.3628488558014185 absolute error 1.9984014443252818e-15 relative error 1.4663412129807498e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.491077158568809 Order of pole (three term test) 32.59403841944644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8810000000000007 y[1] (closed_form) 1.3636199131274083 y[1] (numeric) 1.3636199131274065 absolute error 1.7763568394002505e-15 relative error 1.3026773973447236e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.49088809970131114 Order of pole (three term test) 32.595020385032036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8820000000000007 y[1] (closed_form) 1.36439160683343 y[1] (numeric) 1.3643916068334283 absolute error 1.7763568394002505e-15 relative error 1.301940608915747e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4906970772820685 Order of pole (three term test) 32.596001970536214 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8830000000000007 y[1] (closed_form) 1.3651639361477923 y[1] (numeric) 1.3651639361477903 absolute error 1.9984014443252818e-15 relative error 1.4638545535888924e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.49050409207517126 Order of pole (three term test) 32.59698317203264 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8840000000000007 y[1] (closed_form) 1.3659369002981654 y[1] (numeric) 1.3659369002981634 absolute error 1.9984014443252818e-15 relative error 1.4630261792393615e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.49030914485255994 Order of pole (three term test) 32.59796398559651 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8850000000000007 y[1] (closed_form) 1.3667104985115852 y[1] (numeric) 1.3667104985115832 absolute error 1.9984014443252818e-15 relative error 1.4621980635267228e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4901122363940225 Order of pole (three term test) 32.59894440730456 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8860000000000007 y[1] (closed_form) 1.367484730014454 y[1] (numeric) 1.367484730014452 absolute error 1.9984014443252818e-15 relative error 1.4613702079906657e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4899133674871934 Order of pole (three term test) 32.59992443323512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8870000000000007 y[1] (closed_form) 1.3682595940325397 y[1] (numeric) 1.3682595940325377 absolute error 1.9984014443252818e-15 relative error 1.4605426141654784e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4897125389275472 Order of pole (three term test) 32.60090405946807 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8880000000000007 y[1] (closed_form) 1.3690350897909789 y[1] (numeric) 1.3690350897909769 absolute error 1.9984014443252818e-15 relative error 1.4597152835800528e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48950975151839843 Order of pole (three term test) 32.60188328208492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8890000000000007 y[1] (closed_form) 1.3698112165142757 y[1] (numeric) 1.3698112165142737 absolute error 1.9984014443252818e-15 relative error 1.4588882177578922e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4893050060708963 Order of pole (three term test) 32.60286209716879 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8900000000000007 y[1] (closed_form) 1.3705879734263036 y[1] (numeric) 1.3705879734263016 absolute error 1.9984014443252818e-15 relative error 1.458061418217118e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4890983034040221 Order of pole (three term test) 32.60384050080439 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8910000000000007 y[1] (closed_form) 1.3713653597503055 y[1] (numeric) 1.3713653597503035 absolute error 1.9984014443252818e-15 relative error 1.4572348864704773e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4888896443445867 Order of pole (three term test) 32.60481848907814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8920000000000007 y[1] (closed_form) 1.3721433747088954 y[1] (numeric) 1.3721433747088934 absolute error 1.9984014443252818e-15 relative error 1.4564086240253495e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48867902972722566 Order of pole (three term test) 32.60579605807807 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8930000000000007 y[1] (closed_form) 1.3729220175240582 y[1] (numeric) 1.3729220175240562 absolute error 1.9984014443252818e-15 relative error 1.4555826323837532e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48846646039439706 Order of pole (three term test) 32.60677320389391 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8940000000000007 y[1] (closed_form) 1.373701287417151 y[1] (numeric) 1.3737012874171493 absolute error 1.7763568394002505e-15 relative error 1.2931172560376477e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4882519371963785 Order of pole (three term test) 32.60774992261707 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8950000000000007 y[1] (closed_form) 1.3744811836089044 y[1] (numeric) 1.3744811836089026 absolute error 1.7763568394002505e-15 relative error 1.2923835266599735e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.488035460991262 Order of pole (three term test) 32.608726210340684 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8960000000000007 y[1] (closed_form) 1.375261705319422 y[1] (numeric) 1.3752617053194203 absolute error 1.7763568394002505e-15 relative error 1.2916500419734067e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4878170326449523 Order of pole (three term test) 32.60970206315961 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8970000000000007 y[1] (closed_form) 1.3760428517681824 y[1] (numeric) 1.3760428517681806 absolute error 1.7763568394002505e-15 relative error 1.2909168032940793e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48759665303116234 Order of pole (three term test) 32.61067747717041 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8980000000000007 y[1] (closed_form) 1.376824622174039 y[1] (numeric) 1.3768246221740372 absolute error 1.7763568394002505e-15 relative error 1.2901838119333895e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48737432303141054 Order of pole (three term test) 32.611652448471474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8990000000000007 y[1] (closed_form) 1.3776070157552214 y[1] (numeric) 1.3776070157552196 absolute error 1.7763568394002505e-15 relative error 1.2894510691980104e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48715004353501634 Order of pole (three term test) 32.61262697316288 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9000000000000007 y[1] (closed_form) 1.378390031729336 y[1] (numeric) 1.3783900317293343 absolute error 1.7763568394002505e-15 relative error 1.2887185763898937e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48692381543909746 Order of pole (three term test) 32.61360104734654 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9010000000000007 y[1] (closed_form) 1.3791736693133674 y[1] (numeric) 1.3791736693133656 absolute error 1.7763568394002505e-15 relative error 1.2879863348062786e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48669563964856605 Order of pole (three term test) 32.61457466712618 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9020000000000007 y[1] (closed_form) 1.3799579277236775 y[1] (numeric) 1.3799579277236758 absolute error 1.7763568394002505e-15 relative error 1.287254345739697e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4864655170761251 Order of pole (three term test) 32.61554782860728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9030000000000007 y[1] (closed_form) 1.3807428061760083 y[1] (numeric) 1.3807428061760065 absolute error 1.7763568394002505e-15 relative error 1.2865226104779806e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48623344864226453 Order of pole (three term test) 32.61652052789724 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9040000000000007 y[1] (closed_form) 1.3815283038854813 y[1] (numeric) 1.3815283038854795 absolute error 1.7763568394002505e-15 relative error 1.2857911303042675e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4859994352752575 Order of pole (three term test) 32.61749276110523 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9050000000000007 y[1] (closed_form) 1.3823144200665989 y[1] (numeric) 1.382314420066597 absolute error 1.7763568394002505e-15 relative error 1.2850599064970087e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48576347791115765 Order of pole (three term test) 32.61846452434234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9060000000000007 y[1] (closed_form) 1.383101153933245 y[1] (numeric) 1.3831011539332432 absolute error 1.7763568394002505e-15 relative error 1.2843289403299752e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4855255774937934 Order of pole (three term test) 32.6194358137215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9070000000000007 y[1] (closed_form) 1.3838885046986857 y[1] (numeric) 1.383888504698684 absolute error 1.7763568394002505e-15 relative error 1.283598233072264e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4852857349747669 Order of pole (three term test) 32.620406625357575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9080000000000007 y[1] (closed_form) 1.3846764715755704 y[1] (numeric) 1.3846764715755686 absolute error 1.7763568394002505e-15 relative error 1.2828677859883054e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48504395131344746 Order of pole (three term test) 32.6213769553673 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9090000000000007 y[1] (closed_form) 1.385465053775932 y[1] (numeric) 1.3854650537759303 absolute error 1.7763568394002505e-15 relative error 1.2821376003378692e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4848002274769696 Order of pole (three term test) 32.62234679986938 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9100000000000007 y[1] (closed_form) 1.386254250511189 y[1] (numeric) 1.3862542505111872 absolute error 1.7763568394002505e-15 relative error 1.2814076773760723e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48455456444022815 Order of pole (three term test) 32.62331615498442 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9110000000000007 y[1] (closed_form) 1.3870440609921442 y[1] (numeric) 1.3870440609921424 absolute error 1.7763568394002505e-15 relative error 1.2806780183533846e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48430696318587474 Order of pole (three term test) 32.624285016834996 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9120000000000007 y[1] (closed_form) 1.3878344844289874 y[1] (numeric) 1.3878344844289854 absolute error 1.9984014443252818e-15 relative error 1.4399422025800914e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48405742470431473 Order of pole (three term test) 32.625253381545676 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9130000000000007 y[1] (closed_form) 1.388625520031295 y[1] (numeric) 1.3886255200312931 absolute error 1.7763568394002505e-15 relative error 1.2792194971040266e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4838059499937012 Order of pole (three term test) 32.626221245242995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9140000000000007 y[1] (closed_form) 1.3894171670080318 y[1] (numeric) 1.3894171670080298 absolute error 1.9984014443252818e-15 relative error 1.4383019670245155e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4835525400599326 Order of pole (three term test) 32.6271886040555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9150000000000007 y[1] (closed_form) 1.3902094245675505 y[1] (numeric) 1.3902094245675485 absolute error 1.9984014443252818e-15 relative error 1.4374823023134952e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4832971959166487 Order of pole (three term test) 32.62815545411377 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9160000000000007 y[1] (closed_form) 1.391002291917594 y[1] (numeric) 1.391002291917592 absolute error 1.9984014443252818e-15 relative error 1.4366629414897266e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4830399185852254 Order of pole (three term test) 32.629121791550375 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9170000000000007 y[1] (closed_form) 1.3917957682652946 y[1] (numeric) 1.3917957682652926 absolute error 1.9984014443252818e-15 relative error 1.4358438859287867e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4827807090947719 Order of pole (three term test) 32.63008761249999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9180000000000007 y[1] (closed_form) 1.3925898528171763 y[1] (numeric) 1.3925898528171743 absolute error 1.9984014443252818e-15 relative error 1.4350251370010796e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48251956848212574 Order of pole (three term test) 32.631052913099346 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9190000000000007 y[1] (closed_form) 1.3933845447791549 y[1] (numeric) 1.3933845447791526 absolute error 2.220446049250313e-15 relative error 1.593562995635382e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4822564977918488 Order of pole (three term test) 32.63201768948721 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9200000000000007 y[1] (closed_form) 1.3941798433565378 y[1] (numeric) 1.3941798433565356 absolute error 2.220446049250313e-15 relative error 1.592653960556846e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4819914980762238 Order of pole (three term test) 32.632981937804495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9210000000000007 y[1] (closed_form) 1.3949757477540268 y[1] (numeric) 1.3949757477540248 absolute error 1.9984014443252818e-15 relative error 1.4325707436439646e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4817245703952492 Order of pole (three term test) 32.6339456541942 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9220000000000007 y[1] (closed_form) 1.395772257175718 y[1] (numeric) 1.3957722571757158 absolute error 2.220446049250313e-15 relative error 1.5908369276111598e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4814557158166355 Order of pole (three term test) 32.63490883480147 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9230000000000007 y[1] (closed_form) 1.3965693708251012 y[1] (numeric) 1.3965693708250992 absolute error 1.9984014443252818e-15 relative error 1.430936039464058e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4811849354158003 Order of pole (three term test) 32.635871475773584 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9240000000000007 y[1] (closed_form) 1.3973670879050637 y[1] (numeric) 1.3973670879050617 absolute error 1.9984014443252818e-15 relative error 1.4301191588255383e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4809122302758648 Order of pole (three term test) 32.63683357325998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9250000000000007 y[1] (closed_form) 1.398165407617888 y[1] (numeric) 1.398165407617886 absolute error 1.9984014443252818e-15 relative error 1.4293025942689003e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4806376014876497 Order of pole (three term test) 32.63779512341225 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9260000000000007 y[1] (closed_form) 1.3989643291652545 y[1] (numeric) 1.3989643291652525 absolute error 1.9984014443252818e-15 relative error 1.4284863471234498e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48036105014966946 Order of pole (three term test) 32.63875612238423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9270000000000007 y[1] (closed_form) 1.3997638517482418 y[1] (numeric) 1.3997638517482398 absolute error 1.9984014443252818e-15 relative error 1.4276704187133913e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.48008257736812926 Order of pole (three term test) 32.63971656633189 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9280000000000007 y[1] (closed_form) 1.4005639745673273 y[1] (numeric) 1.4005639745673253 absolute error 1.9984014443252818e-15 relative error 1.4268548103578366e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47980218425691934 Order of pole (three term test) 32.64067645141348 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9290000000000007 y[1] (closed_form) 1.401364696822388 y[1] (numeric) 1.4013646968223863 absolute error 1.7763568394002505e-15 relative error 1.2675906874407223e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47951987193761203 Order of pole (three term test) 32.641635773789446 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9300000000000007 y[1] (closed_form) 1.4021660177127022 y[1] (numeric) 1.4021660177127004 absolute error 1.7763568394002505e-15 relative error 1.2668662747211283e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4792356415394569 Order of pole (three term test) 32.642594529622514 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9310000000000007 y[1] (closed_form) 1.4029679364369492 y[1] (numeric) 1.4029679364369472 absolute error 1.9984014443252818e-15 relative error 1.424409918733087e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4789494941993743 Order of pole (three term test) 32.64355271507765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9320000000000007 y[1] (closed_form) 1.4037704521932095 y[1] (numeric) 1.4037704521932077 absolute error 1.7763568394002505e-15 relative error 1.2654183143867453e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4786614310619534 Order of pole (three term test) 32.64451032632211 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9330000000000007 y[1] (closed_form) 1.404573564178968 y[1] (numeric) 1.4045735641789663 absolute error 1.7763568394002505e-15 relative error 1.2646947690764814e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4783714532794465 Order of pole (three term test) 32.64546735952546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9340000000000007 y[1] (closed_form) 1.405377271591113 y[1] (numeric) 1.405377271591111 absolute error 1.9984014443252818e-15 relative error 1.4219679545996714e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47807956201176444 Order of pole (three term test) 32.646423810859574 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9350000000000007 y[1] (closed_form) 1.4061815736259367 y[1] (numeric) 1.4061815736259347 absolute error 1.9984014443252818e-15 relative error 1.4211546231346674e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4777857584264717 Order of pole (three term test) 32.64737967649864 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9360000000000007 y[1] (closed_form) 1.4069864694791372 y[1] (numeric) 1.4069864694791352 absolute error 1.9984014443252818e-15 relative error 1.4203416220946922e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47749004369878234 Order of pole (three term test) 32.64833495261918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9370000000000007 y[1] (closed_form) 1.407791958345819 y[1] (numeric) 1.407791958345817 absolute error 1.9984014443252818e-15 relative error 1.4195289527533882e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47719241901155485 Order of pole (three term test) 32.64928963540012 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9380000000000007 y[1] (closed_form) 1.4085980394204929 y[1] (numeric) 1.4085980394204909 absolute error 1.9984014443252818e-15 relative error 1.4187166163793882e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47689288555528747 Order of pole (three term test) 32.65024372102272 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9390000000000007 y[1] (closed_form) 1.409404711897078 y[1] (numeric) 1.409404711897076 absolute error 1.9984014443252818e-15 relative error 1.4179046142363225e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47659144452811386 Order of pole (three term test) 32.65119720567063 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9400000000000007 y[1] (closed_form) 1.4102119749689024 y[1] (numeric) 1.4102119749689002 absolute error 2.220446049250313e-15 relative error 1.5745477195364744e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47628809713579734 Order of pole (three term test) 32.652150085529925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9410000000000007 y[1] (closed_form) 1.4110198278287025 y[1] (numeric) 1.4110198278287003 absolute error 2.220446049250313e-15 relative error 1.573646241858392e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4759828445917276 Order of pole (three term test) 32.65310235678907 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9420000000000007 y[1] (closed_form) 1.4118282696686255 y[1] (numeric) 1.4118282696686235 absolute error 1.9984014443252818e-15 relative error 1.4154706257541738e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47567568811691424 Order of pole (three term test) 32.654054015639005 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9430000000000007 y[1] (closed_form) 1.41263729968023 y[1] (numeric) 1.4126372996802279 absolute error 2.220446049250313e-15 relative error 1.5718444145237717e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47536662893998216 Order of pole (three term test) 32.65500505827306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9440000000000007 y[1] (closed_form) 1.4134469170544857 y[1] (numeric) 1.4134469170544837 absolute error 1.9984014443252818e-15 relative error 1.4138496608629606e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47505566829716855 Order of pole (three term test) 32.65595548088711 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9450000000000007 y[1] (closed_form) 1.4142571209817758 y[1] (numeric) 1.4142571209817736 absolute error 2.220446049250313e-15 relative error 1.5700441004029604e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4747428074323151 Order of pole (three term test) 32.65690527967944 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9460000000000007 y[1] (closed_form) 1.4150679106518957 y[1] (numeric) 1.4150679106518937 absolute error 1.9984014443252818e-15 relative error 1.4122300627993572e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4744280475968648 Order of pole (three term test) 32.657854450850856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9470000000000007 y[1] (closed_form) 1.4158792852540565 y[1] (numeric) 1.4158792852540545 absolute error 1.9984014443252818e-15 relative error 1.4114207793969534e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4741113900498567 Order of pole (three term test) 32.658802990604684 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9480000000000007 y[1] (closed_form) 1.4166912439768833 y[1] (numeric) 1.4166912439768813 absolute error 1.9984014443252818e-15 relative error 1.410611841374443e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47379283605792055 Order of pole (three term test) 32.659750895146765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9490000000000007 y[1] (closed_form) 1.4175037860084174 y[1] (numeric) 1.4175037860084154 absolute error 1.9984014443252818e-15 relative error 1.409803249945898e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4734723868952717 Order of pole (three term test) 32.66069816068547 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9500000000000007 y[1] (closed_form) 1.418316910536117 y[1] (numeric) 1.418316910536115 absolute error 1.9984014443252818e-15 relative error 1.4089950063204813e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47315004384370707 Order of pole (three term test) 32.66164478343175 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9510000000000007 y[1] (closed_form) 1.4191306167468576 y[1] (numeric) 1.4191306167468558 absolute error 1.7763568394002505e-15 relative error 1.2517218770688493e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47282580819259745 Order of pole (three term test) 32.66259075959911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9520000000000007 y[1] (closed_form) 1.4199449038269332 y[1] (numeric) 1.4199449038269314 absolute error 1.7763568394002505e-15 relative error 1.2510040598143926e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4724996812388857 Order of pole (three term test) 32.66353608540365 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9530000000000007 y[1] (closed_form) 1.4207597709620565 y[1] (numeric) 1.4207597709620547 absolute error 1.7763568394002505e-15 relative error 1.2502865549166022e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.472171664287079 Order of pole (three term test) 32.66448075706408 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9540000000000007 y[1] (closed_form) 1.4215752173373606 y[1] (numeric) 1.4215752173373588 absolute error 1.7763568394002505e-15 relative error 1.249569363432913e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.471841758649245 Order of pole (three term test) 32.66542477080168 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9550000000000007 y[1] (closed_form) 1.4223912421373992 y[1] (numeric) 1.4223912421373974 absolute error 1.7763568394002505e-15 relative error 1.2488524864164336e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.47150996564500497 Order of pole (three term test) 32.66636812284043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9560000000000007 y[1] (closed_form) 1.4232078445461473 y[1] (numeric) 1.4232078445461458 absolute error 1.5543122344752192e-15 relative error 1.0921189343014619e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4711762866015313 Order of pole (three term test) 32.6673108094069 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9570000000000007 y[1] (closed_form) 1.424025023747003 y[1] (numeric) 1.4240250237470014 absolute error 1.5543122344752192e-15 relative error 1.0914922199789683e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4708407228535396 Order of pole (three term test) 32.66825282673036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9580000000000007 y[1] (closed_form) 1.424842778922787 y[1] (numeric) 1.4248427789227853 absolute error 1.7763568394002505e-15 relative error 1.2467037526366354e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.470503275743284 Order of pole (three term test) 32.66919417104273 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9590000000000007 y[1] (closed_form) 1.4256611092557439 y[1] (numeric) 1.4256611092557423 absolute error 1.5543122344752192e-15 relative error 1.0902396259421264e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4701639466205527 Order of pole (three term test) 32.670134838578655 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9600000000000007 y[1] (closed_form) 1.426480013927544 y[1] (numeric) 1.4264800139275422 absolute error 1.7763568394002505e-15 relative error 1.2452728548992332e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.46982273684266196 Order of pole (three term test) 32.67107482557545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9610000000000007 y[1] (closed_form) 1.4272994921192823 y[1] (numeric) 1.4272994921192803 absolute error 1.9984014443252818e-15 relative error 1.4001276223800908e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4694796477744505 Order of pole (three term test) 32.672014128273176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9620000000000007 y[1] (closed_form) 1.4281195430114806 y[1] (numeric) 1.4281195430114786 absolute error 1.9984014443252818e-15 relative error 1.399323644931884e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4691346807882738 Order of pole (three term test) 32.6729527429146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9630000000000007 y[1] (closed_form) 1.4289401657840881 y[1] (numeric) 1.4289401657840863 absolute error 1.7763568394002505e-15 relative error 1.243128916056137e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4687878372639994 Order of pole (three term test) 32.6738906657453 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9640000000000007 y[1] (closed_form) 1.4297613596164824 y[1] (numeric) 1.4297613596164807 absolute error 1.7763568394002505e-15 relative error 1.2424149159246675e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4684391185890012 Order of pole (three term test) 32.67482789301356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9650000000000007 y[1] (closed_form) 1.4305831236874698 y[1] (numeric) 1.4305831236874678 absolute error 1.9984014443252818e-15 relative error 1.3969138956247464e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.46808852615815255 Order of pole (three term test) 32.67576442097049 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9660000000000007 y[1] (closed_form) 1.431405457175286 y[1] (numeric) 1.431405457175284 absolute error 1.9984014443252818e-15 relative error 1.3961113773234435e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.46773606137382406 Order of pole (three term test) 32.67670024586996 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9670000000000007 y[1] (closed_form) 1.4322283592575973 y[1] (numeric) 1.4322283592575953 absolute error 1.9984014443252818e-15 relative error 1.3953092266383855e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4673817256458737 Order of pole (three term test) 32.67763536396868 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9680000000000007 y[1] (closed_form) 1.4330518291115024 y[1] (numeric) 1.4330518291115002 absolute error 2.220446049250313e-15 relative error 1.5494527163242924e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4670255203916434 Order of pole (three term test) 32.67856977152619 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9690000000000007 y[1] (closed_form) 1.4338758659135307 y[1] (numeric) 1.4338758659135287 absolute error 1.9984014443252818e-15 relative error 1.3937060326014264e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4666674470359546 Order of pole (three term test) 32.679503464804846 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9700000000000008 y[1] (closed_form) 1.4347004688396463 y[1] (numeric) 1.434700468839644 absolute error 2.220446049250313e-15 relative error 1.5476722127554333e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.46630750701109996 Order of pole (three term test) 32.680436440069876 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9710000000000008 y[1] (closed_form) 1.4355256370652458 y[1] (numeric) 1.4355256370652436 absolute error 2.220446049250313e-15 relative error 1.5467825804837172e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.46594570175683897 Order of pole (three term test) 32.681368693589405 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9720000000000008 y[1] (closed_form) 1.4363513697651613 y[1] (numeric) 1.436351369765159 absolute error 2.220446049250313e-15 relative error 1.5458933628568535e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.46558203272039195 Order of pole (three term test) 32.682300221634385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9730000000000008 y[1] (closed_form) 1.43717766611366 y[1] (numeric) 1.4371776661136577 absolute error 2.220446049250313e-15 relative error 1.5450045610955856e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.46521650135643516 Order of pole (three term test) 32.683231020478736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9740000000000008 y[1] (closed_form) 1.4380045252844456 y[1] (numeric) 1.4380045252844433 absolute error 2.220446049250313e-15 relative error 1.5441161764154367e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4648491091270933 Order of pole (three term test) 32.68416108639924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9750000000000008 y[1] (closed_form) 1.4388319464506591 y[1] (numeric) 1.438831946450657 absolute error 2.220446049250313e-15 relative error 1.5432282100267206e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4644798575019344 Order of pole (three term test) 32.685090415675646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9760000000000008 y[1] (closed_form) 1.4396599287848795 y[1] (numeric) 1.4396599287848773 absolute error 2.220446049250313e-15 relative error 1.542340663134552e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.46410874795796503 Order of pole (three term test) 32.68601900459064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9770000000000008 y[1] (closed_form) 1.4404884714591244 y[1] (numeric) 1.4404884714591222 absolute error 2.220446049250313e-15 relative error 1.5414535369388556e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.46373578197962256 Order of pole (three term test) 32.68694684942985 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9780000000000008 y[1] (closed_form) 1.4413175736448511 y[1] (numeric) 1.441317573644849 absolute error 2.220446049250313e-15 relative error 1.5405668326343766e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4633609610587704 Order of pole (three term test) 32.68787394648192 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9790000000000008 y[1] (closed_form) 1.4421472345129578 y[1] (numeric) 1.4421472345129556 absolute error 2.220446049250313e-15 relative error 1.5396805514106903e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4629842866946918 Order of pole (three term test) 32.688800292038465 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9800000000000008 y[1] (closed_form) 1.4429774532337833 y[1] (numeric) 1.4429774532337811 absolute error 2.220446049250313e-15 relative error 1.5387946944522137e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4626057603940838 Order of pole (three term test) 32.68972588239408 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9810000000000008 y[1] (closed_form) 1.4438082289771093 y[1] (numeric) 1.443808228977107 absolute error 2.220446049250313e-15 relative error 1.5379092629382132e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.462225383671051 Order of pole (three term test) 32.69065071384642 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9820000000000008 y[1] (closed_form) 1.4446395609121598 y[1] (numeric) 1.4446395609121576 absolute error 2.220446049250313e-15 relative error 1.5370242580428169e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4618431580471 Order of pole (three term test) 32.69157478269616 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9830000000000008 y[1] (closed_form) 1.4454714482076032 y[1] (numeric) 1.445471448207601 absolute error 2.220446049250313e-15 relative error 1.536139680935023e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4614590850511325 Order of pole (three term test) 32.69249808524703 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9840000000000008 y[1] (closed_form) 1.4463038900315524 y[1] (numeric) 1.44630389003155 absolute error 2.4424906541753444e-15 relative error 1.6887810860565822e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.46107316621943983 Order of pole (three term test) 32.693420617805806 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9850000000000008 y[1] (closed_form) 1.447136885551565 y[1] (numeric) 1.4471368855515627 absolute error 2.220446049250313e-15 relative error 1.5343718147326522e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.46068540309569744 Order of pole (three term test) 32.69434237668238 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9860000000000008 y[1] (closed_form) 1.4479704339346462 y[1] (numeric) 1.447970433934644 absolute error 2.220446049250313e-15 relative error 1.5334885279505179e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4602957972309566 Order of pole (three term test) 32.69526335818969 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9870000000000008 y[1] (closed_form) 1.4488045343472475 y[1] (numeric) 1.4488045343472453 absolute error 2.220446049250313e-15 relative error 1.5326056735808913e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.45990435018364095 Order of pole (three term test) 32.696183558643845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9880000000000008 y[1] (closed_form) 1.4496391859552684 y[1] (numeric) 1.4496391859552662 absolute error 2.220446049250313e-15 relative error 1.5317232527672783e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.45951106351953724 Order of pole (three term test) 32.69710297436402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9890000000000008 y[1] (closed_form) 1.4504743879240576 y[1] (numeric) 1.4504743879240554 absolute error 2.220446049250313e-15 relative error 1.5308412666481147e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4591159388117924 Order of pole (three term test) 32.69802160167256 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9900000000000008 y[1] (closed_form) 1.4513101394184131 y[1] (numeric) 1.4513101394184107 absolute error 2.4424906541753444e-15 relative error 1.682955687992457e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4587189776409047 Order of pole (three term test) 32.69893943689496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9910000000000008 y[1] (closed_form) 1.4521464396025834 y[1] (numeric) 1.452146439602581 absolute error 2.4424906541753444e-15 relative error 1.6819864633237634e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.45832018159471777 Order of pole (three term test) 32.69985647635988 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9920000000000008 y[1] (closed_form) 1.4529832876402684 y[1] (numeric) 1.452983287640266 absolute error 2.4424906541753444e-15 relative error 1.6810177205424674e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.45791955226841546 Order of pole (three term test) 32.70077271639914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9930000000000008 y[1] (closed_form) 1.4538206826946203 y[1] (numeric) 1.4538206826946178 absolute error 2.4424906541753444e-15 relative error 1.6800494608786615e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4575170912645148 Order of pole (three term test) 32.701688153347824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9940000000000008 y[1] (closed_form) 1.454658623928244 y[1] (numeric) 1.4546586239282415 absolute error 2.4424906541753444e-15 relative error 1.6790816855569191e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.45711280019285905 Order of pole (three term test) 32.702602783544165 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9950000000000008 y[1] (closed_form) 1.455497110503198 y[1] (numeric) 1.4554971105031957 absolute error 2.220446049250313e-15 relative error 1.525558541633006e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.45670668067061226 Order of pole (three term test) 32.70351660332964 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9960000000000008 y[1] (closed_form) 1.4563361415809966 y[1] (numeric) 1.4563361415809941 absolute error 2.4424906541753444e-15 relative error 1.6771475928103932e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4562987343222515 Order of pole (three term test) 32.70442960904896 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9970000000000008 y[1] (closed_form) 1.4571757163226078 y[1] (numeric) 1.4571757163226056 absolute error 2.220446049250313e-15 relative error 1.5238011616429676e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4558889627795618 Order of pole (three term test) 32.705341797050124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9980000000000008 y[1] (closed_form) 1.458015833888458 y[1] (numeric) 1.4580158338884555 absolute error 2.4424906541753444e-15 relative error 1.67521545198953e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.45547736768162905 Order of pole (three term test) 32.70625316368437 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9990000000000008 y[1] (closed_form) 1.4588564934384287 y[1] (numeric) 1.4588564934384263 absolute error 2.4424906541753444e-15 relative error 1.6742501165543395e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 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 0.4550639506748328 Order of pole (three term test) 32.70716370530625 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( x ) ; Iterations 900 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Expected Time Remaining 0 Seconds Optimized Time Remaining 0 Seconds Expected Total Time 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 0.0%