##############ECHO OF PROBLEM################# ##############R:Temp/sing2_backpostode.ode################# diff ( y , x , 1 ) = 1.0 / ( x * x + 1.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-1.5) x_end=c(-2.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=2 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(0.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(1.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(1.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=12 $glob_max_minutes=(3.0) $glob_subiter_method=2 $glob_max_iter=1000000 $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) $glob_h_reason=1 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(arctan(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -1.501 y[1] (closed_form) -0.9831012735990039 y[1] (numeric) -0.9831012735990039 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 14 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.8036077733254534 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8036077733254519 Order of pole (six term test) -1.0658141036401503e-14 TOP MAIN SOLVE Loop x[1] -1.5019999999999998 y[1] (closed_form) -0.9834085402617772 y[1] (numeric) -0.9834085402617773 absolute error 1.1102230246251565e-16 relative error 1.1289540197908207e-14% Desired digits 12 Estimated correct digits 14 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.8044400793597994 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8044400793598006 Order of pole (six term test) 1.509903313490213e-14 TOP MAIN SOLVE Loop x[1] -1.5029999999999997 y[1] (closed_form) -0.9837155235700464 y[1] (numeric) -0.9837155235700465 absolute error 1.1102230246251565e-16 relative error 1.1286017126130083e-14% Desired digits 12 Estimated correct digits 14 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.8052725555992921 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.805272555599287 Order of pole (six term test) -3.2862601528904634e-14 TOP MAIN SOLVE Loop x[1] -1.5039999999999996 y[1] (closed_form) -0.9840222238578065 y[1] (numeric) -0.9840222238578066 absolute error 1.1102230246251565e-16 relative error 1.1282499497547796e-14% Desired digits 12 Estimated correct digits 14 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.8061052018085764 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8061052018085884 Order of pole (six term test) 8.08242361927114e-14 TOP MAIN SOLVE Loop x[1] -1.5049999999999994 y[1] (closed_form) -0.9843286414586493 y[1] (numeric) -0.9843286414586494 absolute error 1.1102230246251565e-16 relative error 1.12789873002166e-14% Desired digits 12 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.806938017752684 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8069380177526795 Order of pole (six term test) -3.019806626980426e-14 TOP MAIN SOLVE Loop x[1] -1.5059999999999993 y[1] (closed_form) -0.9846347767057648 y[1] (numeric) -0.9846347767057649 absolute error 1.1102230246251565e-16 relative error 1.1275480522225358e-14% Desired digits 12 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.8077710031970304 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8077710031970344 Order of pole (six term test) 3.375077994860476e-14 TOP MAIN SOLVE Loop x[1] -1.5069999999999992 y[1] (closed_form) -0.9849406299319408 y[1] (numeric) -0.984940629931941 absolute error 2.220446049250313e-16 relative error 2.2543958303392823e-14% Desired digits 12 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.8086041579074172 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8086041579074268 Order of pole (six term test) 5.861977570020827e-14 TOP MAIN SOLVE Loop x[1] -1.5079999999999991 y[1] (closed_form) -0.9852462014695631 y[1] (numeric) -0.9852462014695633 absolute error 2.220446049250313e-16 relative error 2.253696635357095e-14% Desired digits 12 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.8094374816500285 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8094374816500283 Order of pole (six term test) -1.7763568394002505e-15 TOP MAIN SOLVE Loop x[1] -1.508999999999999 y[1] (closed_form) -0.9855514916506163 y[1] (numeric) -0.9855514916506165 absolute error 2.220446049250313e-16 relative error 2.252998517136306e-14% Desired digits 12 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.8102709741914322 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8102709741914362 Order of pole (six term test) 2.930988785010413e-14 TOP MAIN SOLVE Loop x[1] -1.509999999999999 y[1] (closed_form) -0.9858565008066833 y[1] (numeric) -0.9858565008066835 absolute error 2.220446049250313e-16 relative error 2.2523014733213393e-14% Desired digits 12 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.8111046352985782 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8111046352985785 Order of pole (six term test) 5.329070518200751e-15 TOP MAIN SOLVE Loop x[1] -1.5109999999999988 y[1] (closed_form) -0.9861612292689462 y[1] (numeric) -0.9861612292689466 absolute error 3.3306690738754696e-16 relative error 3.377408252344839e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.811938464738799 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.811938464738805 Order of pole (six term test) 3.552713678800501e-14 TOP MAIN SOLVE Loop x[1] -1.5119999999999987 y[1] (closed_form) -0.9864656773681865 y[1] (numeric) -0.9864656773681868 absolute error 3.3306690738754696e-16 relative error 3.3763658992793696e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8127724622798076 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8127724622798134 Order of pole (six term test) 3.9968028886505635e-14 TOP MAIN SOLVE Loop x[1] -1.5129999999999986 y[1] (closed_form) -0.9867698454347849 y[1] (numeric) -0.9867698454347852 absolute error 3.3306690738754696e-16 relative error 3.375325147281866e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8136066276896972 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8136066276897045 Order of pole (six term test) 5.950795411990839e-14 TOP MAIN SOLVE Loop x[1] -1.5139999999999985 y[1] (closed_form) -0.9870737337987219 y[1] (numeric) -0.9870737337987223 absolute error 4.440892098500626e-16 relative error 4.499047990477868e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8144409607369414 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.814440960736939 Order of pole (six term test) -1.9539925233402755e-14 TOP MAIN SOLVE Loop x[1] -1.5149999999999983 y[1] (closed_form) -0.9873773427895783 y[1] (numeric) -0.9873773427895788 absolute error 4.440892098500626e-16 relative error 4.497664576699763e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8152754611903932 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.815275461190401 Order of pole (six term test) 5.240252676230739e-14 TOP MAIN SOLVE Loop x[1] -1.5159999999999982 y[1] (closed_form) -0.987680672736535 y[1] (numeric) -0.9876806727365356 absolute error 5.551115123125783e-16 relative error 5.6203541046778684e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8161101288192836 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.816110128819289 Order of pole (six term test) 3.730349362740526e-14 TOP MAIN SOLVE Loop x[1] -1.5169999999999981 y[1] (closed_form) -0.9879837239683736 y[1] (numeric) -0.9879837239683742 absolute error 5.551115123125783e-16 relative error 5.618630133732324e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8169449633932213 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8169449633932269 Order of pole (six term test) 3.2862601528904634e-14 TOP MAIN SOLVE Loop x[1] -1.517999999999998 y[1] (closed_form) -0.9882864968134766 y[1] (numeric) -0.988286496813477 absolute error 4.440892098500626e-16 relative error 4.4935270418237576e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8177799646821928 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8177799646822017 Order of pole (six term test) 6.572520305780927e-14 TOP MAIN SOLVE Loop x[1] -1.518999999999998 y[1] (closed_form) -0.9885889915998272 y[1] (numeric) -0.9885889915998277 absolute error 5.551115123125783e-16 relative error 5.615190104577686e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8186151324565607 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8186151324565627 Order of pole (six term test) 2.1316282072803006e-14 TOP MAIN SOLVE Loop x[1] -1.5199999999999978 y[1] (closed_form) -0.9888912086550105 y[1] (numeric) -0.988891208655011 absolute error 5.551115123125783e-16 relative error 5.613474034900003e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8194504664870637 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8194504664870736 Order of pole (six term test) 6.572520305780927e-14 TOP MAIN SOLVE Loop x[1] -1.5209999999999977 y[1] (closed_form) -0.989193148306213 y[1] (numeric) -0.9891931483062136 absolute error 6.661338147750939e-16 relative error 6.734112705043592e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8202859665448154 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8202859665448252 Order of pole (six term test) 7.105427357601002e-14 TOP MAIN SOLVE Loop x[1] -1.5219999999999976 y[1] (closed_form) -0.9894948108802233 y[1] (numeric) -0.989494810880224 absolute error 6.661338147750939e-16 relative error 6.732059708150691e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8211216324013046 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8211216324013035 Order of pole (six term test) -1.687538997430238e-14 TOP MAIN SOLVE Loop x[1] -1.5229999999999975 y[1] (closed_form) -0.9897961967034322 y[1] (numeric) -0.9897961967034329 absolute error 6.661338147750939e-16 relative error 6.730009844387029e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8219574638283935 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8219574638283973 Order of pole (six term test) 3.4638958368304884e-14 TOP MAIN SOLVE Loop x[1] -1.5239999999999974 y[1] (closed_form) -0.990097306101833 y[1] (numeric) -0.9900973061018337 absolute error 6.661338147750939e-16 relative error 6.727963106957299e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.822793460598318 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8227934605983245 Order of pole (six term test) 3.552713678800501e-14 TOP MAIN SOLVE Loop x[1] -1.5249999999999972 y[1] (closed_form) -0.9903981394010216 y[1] (numeric) -0.9903981394010224 absolute error 7.771561172376096e-16 relative error 7.846906070599267e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.823629622483686 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.82362962248369 Order of pole (six term test) 2.7533531010703882e-14 TOP MAIN SOLVE Loop x[1] -1.5259999999999971 y[1] (closed_form) -0.9906986969261973 y[1] (numeric) -0.9906986969261982 absolute error 8.881784197001252e-16 relative error 8.965171978683754e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8244659492574782 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8244659492574828 Order of pole (six term test) 3.4638958368304884e-14 TOP MAIN SOLVE Loop x[1] -1.526999999999997 y[1] (closed_form) -0.9909989790021625 y[1] (numeric) -0.9909989790021634 absolute error 8.881784197001252e-16 relative error 8.962455446668901e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.825302440693046 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8253024406930474 Order of pole (six term test) 1.5987211554602254e-14 TOP MAIN SOLVE Loop x[1] -1.527999999999997 y[1] (closed_form) -0.9912989859533233 y[1] (numeric) -0.9912989859533242 absolute error 8.881784197001252e-16 relative error 8.959743047108759e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8261390965641118 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8261390965641122 Order of pole (six term test) 6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.5289999999999968 y[1] (closed_form) -0.9915987181036897 y[1] (numeric) -0.9915987181036907 absolute error 9.992007221626409e-16 relative error 1.0076664117451555e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.826975916644768 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8269759166447714 Order of pole (six term test) 3.108624468950438e-14 TOP MAIN SOLVE Loop x[1] -1.5299999999999967 y[1] (closed_form) -0.9918981757768761 y[1] (numeric) -0.9918981757768771 absolute error 9.992007221626409e-16 relative error 1.0073621935840796e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8278129007094763 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8278129007094794 Order of pole (six term test) 1.7763568394002505e-14 TOP MAIN SOLVE Loop x[1] -1.5309999999999966 y[1] (closed_form) -0.992197359296101 y[1] (numeric) -0.9921973592961021 absolute error 1.1102230246251565e-15 relative error 1.1189538192409493e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8286500485330672 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8286500485330708 Order of pole (six term test) 2.7533531010703882e-14 TOP MAIN SOLVE Loop x[1] -1.5319999999999965 y[1] (closed_form) -0.9924962689841881 y[1] (numeric) -0.9924962689841891 absolute error 9.992007221626409e-16 relative error 1.0067551419465936e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8294873598907397 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8294873598907342 Order of pole (six term test) -4.440892098500626e-14 TOP MAIN SOLVE Loop x[1] -1.5329999999999964 y[1] (closed_form) -0.9927949051635656 y[1] (numeric) -0.9927949051635667 absolute error 1.1102230246251565e-15 relative error 1.1182803405324127e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8303248345580598 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.830324834558061 Order of pole (six term test) 1.3322676295501878e-14 TOP MAIN SOLVE Loop x[1] -1.5339999999999963 y[1] (closed_form) -0.9930932681562679 y[1] (numeric) -0.9930932681562689 absolute error 9.992007221626409e-16 relative error 1.0061499299232103e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8311624723109603 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8311624723109614 Order of pole (six term test) 1.2434497875801753e-14 TOP MAIN SOLVE Loop x[1] -1.5349999999999961 y[1] (closed_form) -0.9933913582839341 y[1] (numeric) -0.9933913582839351 absolute error 9.992007221626409e-16 relative error 1.0058480112900745e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8320002729257407 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8320002729257396 Order of pole (six term test) -7.993605777301127e-15 TOP MAIN SOLVE Loop x[1] -1.535999999999996 y[1] (closed_form) -0.9936891758678098 y[1] (numeric) -0.9936891758678109 absolute error 1.1102230246251565e-15 relative error 1.117273943993176e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8328382361790654 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.832838236179062 Order of pole (six term test) -3.197442310920451e-14 TOP MAIN SOLVE Loop x[1] -1.536999999999996 y[1] (closed_form) -0.9939867212287469 y[1] (numeric) -0.993986721228748 absolute error 1.1102230246251565e-15 relative error 1.1169394931681991e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8336763618479646 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8336763618479641 Order of pole (six term test) 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.5379999999999958 y[1] (closed_form) -0.9942839946872034 y[1] (numeric) -0.9942839946872045 absolute error 1.1102230246251565e-15 relative error 1.1166055478690744e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.834514649709832 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8345146497098366 Order of pole (six term test) 3.907985046680551e-14 TOP MAIN SOLVE Loop x[1] -1.5389999999999957 y[1] (closed_form) -0.9945809965632445 y[1] (numeric) -0.9945809965632456 absolute error 1.1102230246251565e-15 relative error 1.1162721070093946e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8353530995424252 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.835353099542426 Order of pole (six term test) 1.5987211554602254e-14 TOP MAIN SOLVE Loop x[1] -1.5399999999999956 y[1] (closed_form) -0.9948777271765423 y[1] (numeric) -0.9948777271765434 absolute error 1.1102230246251565e-15 relative error 1.1159391695057477e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8361917111238648 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8361917111238688 Order of pole (six term test) 2.4868995751603507e-14 TOP MAIN SOLVE Loop x[1] -1.5409999999999955 y[1] (closed_form) -0.9951741868463763 y[1] (numeric) -0.9951741868463775 absolute error 1.2212453270876722e-15 relative error 1.2271674077054756e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8370304842326342 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8370304842326357 Order of pole (six term test) 7.993605777301127e-15 TOP MAIN SOLVE Loop x[1] -1.5419999999999954 y[1] (closed_form) -0.9954703758916337 y[1] (numeric) -0.995470375891635 absolute error 1.3322676295501878e-15 relative error 1.338329760297375e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.837869418647578 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8378694186475808 Order of pole (six term test) 2.1316282072803006e-14 TOP MAIN SOLVE Loop x[1] -1.5429999999999953 y[1] (closed_form) -0.9957662946308099 y[1] (numeric) -0.9957662946308112 absolute error 1.3322676295501878e-15 relative error 1.3379320396098956e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.838708514147902 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8387085141479054 Order of pole (six term test) 3.019806626980426e-14 TOP MAIN SOLVE Loop x[1] -1.5439999999999952 y[1] (closed_form) -0.9960619433820084 y[1] (numeric) -0.9960619433820098 absolute error 1.4432899320127035e-15 relative error 1.4489961609337128e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8395477705131729 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8395477705131733 Order of pole (six term test) 1.7763568394002505e-15 TOP MAIN SOLVE Loop x[1] -1.544999999999995 y[1] (closed_form) -0.9963573224629414 y[1] (numeric) -0.9963573224629428 absolute error 1.4432899320127035e-15 relative error 1.4485665930019651e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.840387187523317 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8403871875233173 Order of pole (six term test) 1.7763568394002505e-15 TOP MAIN SOLVE Loop x[1] -1.545999999999995 y[1] (closed_form) -0.9966524321909299 y[1] (numeric) -0.9966524321909314 absolute error 1.4432899320127035e-15 relative error 1.4481376710634572e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8412267649586198 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8412267649586234 Order of pole (six term test) 4.618527782440651e-14 TOP MAIN SOLVE Loop x[1] -1.5469999999999948 y[1] (closed_form) -0.9969472728829042 y[1] (numeric) -0.9969472728829056 absolute error 1.4432899320127035e-15 relative error 1.4477093937366376e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8420665025997254 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8420665025997216 Order of pole (six term test) -2.398081733190338e-14 TOP MAIN SOLVE Loop x[1] -1.5479999999999947 y[1] (closed_form) -0.997241844855404 y[1] (numeric) -0.9972418448554055 absolute error 1.4432899320127035e-15 relative error 1.447281759643745e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.842906400227636 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8429064002276336 Order of pole (six term test) -1.4210854715202004e-14 TOP MAIN SOLVE Loop x[1] -1.5489999999999946 y[1] (closed_form) -0.997536148424579 y[1] (numeric) -0.9975361484245805 absolute error 1.4432899320127035e-15 relative error 1.446854767410794e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.843746457623711 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.843746457623713 Order of pole (six term test) 2.842170943040401e-14 TOP MAIN SOLVE Loop x[1] -1.5499999999999945 y[1] (closed_form) -0.9978301839061888 y[1] (numeric) -0.9978301839061904 absolute error 1.5543122344752192e-15 relative error 1.557692139949685e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.844586674569667 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8445866745696686 Order of pole (six term test) 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.5509999999999944 y[1] (closed_form) -0.9981239516156036 y[1] (numeric) -0.9981239516156052 absolute error 1.5543122344752192e-15 relative error 1.5572336802050954e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8454270508475763 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.845427050847575 Order of pole (six term test) -3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.5519999999999943 y[1] (closed_form) -0.9984174518678042 y[1] (numeric) -0.9984174518678058 absolute error 1.6653345369377348e-15 relative error 1.667974186370927e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8462675862398663 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8462675862398659 Order of pole (six term test) -1.2434497875801753e-14 TOP MAIN SOLVE Loop x[1] -1.5529999999999942 y[1] (closed_form) -0.9987106849773825 y[1] (numeric) -0.9987106849773841 absolute error 1.6653345369377348e-15 relative error 1.6674844496886995e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8471082805293202 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8471082805293237 Order of pole (six term test) 2.398081733190338e-14 TOP MAIN SOLVE Loop x[1] -1.553999999999994 y[1] (closed_form) -0.9990036512585417 y[1] (numeric) -0.9990036512585434 absolute error 1.6653345369377348e-15 relative error 1.6669954457521265e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.847949133499075 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8479491334990774 Order of pole (six term test) 2.4868995751603507e-14 TOP MAIN SOLVE Loop x[1] -1.554999999999994 y[1] (closed_form) -0.9992963510250967 y[1] (numeric) -0.9992963510250984 absolute error 1.6653345369377348e-15 relative error 1.6665071730016864e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8487901449326207 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8487901449326198 Order of pole (six term test) -1.3322676295501878e-14 TOP MAIN SOLVE Loop x[1] -1.5559999999999938 y[1] (closed_form) -0.9995887845904744 y[1] (numeric) -0.9995887845904761 absolute error 1.6653345369377348e-15 relative error 1.6660196298821144e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8496313146138017 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8496313146138008 Order of pole (six term test) 2.6645352591003757e-15 TOP MAIN SOLVE Loop x[1] -1.5569999999999937 y[1] (closed_form) -0.9998809522677138 y[1] (numeric) -0.9998809522677156 absolute error 1.7763568394002505e-15 relative error 1.776568335831883e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8504726423268139 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8504726423268159 Order of pole (six term test) 9.769962616701378e-15 TOP MAIN SOLVE Loop x[1] -1.5579999999999936 y[1] (closed_form) -1.0001728543694666 y[1] (numeric) -1.0001728543694686 absolute error 1.9984014443252818e-15 relative error 1.998056071602866e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8513141278562049 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8513141278562033 Order of pole (six term test) 8.881784197001252e-16 TOP MAIN SOLVE Loop x[1] -1.5589999999999935 y[1] (closed_form) -1.0004644912079976 y[1] (numeric) -1.0004644912079996 absolute error 1.9984014443252818e-15 relative error 1.997473635383439e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8521557709868735 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8521557709868772 Order of pole (six term test) 3.375077994860476e-14 TOP MAIN SOLVE Loop x[1] -1.5599999999999934 y[1] (closed_form) -1.0007558630951845 y[1] (numeric) -1.0007558630951865 absolute error 1.9984014443252818e-15 relative error 1.996892067306538e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8529975715040696 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8529975715040754 Order of pole (six term test) 4.707345624410664e-14 TOP MAIN SOLVE Loop x[1] -1.5609999999999933 y[1] (closed_form) -1.0010469703425184 y[1] (numeric) -1.0010469703425207 absolute error 2.220446049250313e-15 relative error 2.2181237394790426e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8538395291933925 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8538395291933902 Order of pole (six term test) -1.4210854715202004e-14 TOP MAIN SOLVE Loop x[1] -1.5619999999999932 y[1] (closed_form) -1.001337813261105 y[1] (numeric) -1.0013378132611073 absolute error 2.220446049250313e-15 relative error 2.2174794758013577e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.854681643840791 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8546816438407971 Order of pole (six term test) 3.8191672047105385e-14 TOP MAIN SOLVE Loop x[1] -1.562999999999993 y[1] (closed_form) -1.0016283921616633 y[1] (numeric) -1.0016283921616655 absolute error 2.220446049250313e-15 relative error 2.216836170606406e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8555239152325627 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8555239152325682 Order of pole (six term test) 4.618527782440651e-14 TOP MAIN SOLVE Loop x[1] -1.563999999999993 y[1] (closed_form) -1.001918707354527 y[1] (numeric) -1.0019187073545295 absolute error 2.4424906541753444e-15 relative error 2.437813204051767e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.856366343155353 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8563663431553548 Order of pole (six term test) 2.398081733190338e-14 TOP MAIN SOLVE Loop x[1] -1.5649999999999928 y[1] (closed_form) -1.0022087591496451 y[1] (numeric) -1.0022087591496476 absolute error 2.4424906541753444e-15 relative error 2.437107670309877e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8572089273961552 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8572089273961594 Order of pole (six term test) 3.6415315207705135e-14 TOP MAIN SOLVE Loop x[1] -1.5659999999999927 y[1] (closed_form) -1.0024985478565809 y[1] (numeric) -1.0024985478565835 absolute error 2.6645352591003757e-15 relative error 2.657894382787244e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8580516677423093 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.858051667742309 Order of pole (six term test) 1.0658141036401503e-14 TOP MAIN SOLVE Loop x[1] -1.5669999999999926 y[1] (closed_form) -1.0027880737845138 y[1] (numeric) -1.0027880737845165 absolute error 2.6645352591003757e-15 relative error 2.6571269929890983e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8588945639815015 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.858894563981506 Order of pole (six term test) 4.3520742565306136e-14 TOP MAIN SOLVE Loop x[1] -1.5679999999999925 y[1] (closed_form) -1.0030773372422388 y[1] (numeric) -1.0030773372422415 absolute error 2.6645352591003757e-15 relative error 2.656360741262468e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8597376159017638 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.859737615901766 Order of pole (six term test) 1.1546319456101628e-14 TOP MAIN SOLVE Loop x[1] -1.5689999999999924 y[1] (closed_form) -1.0033663385381668 y[1] (numeric) -1.0033663385381695 absolute error 2.6645352591003757e-15 relative error 2.655595625205459e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8605808232914731 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8605808232914736 Order of pole (six term test) 1.865174681370263e-14 TOP MAIN SOLVE Loop x[1] -1.5699999999999923 y[1] (closed_form) -1.003655077980325 y[1] (numeric) -1.0036550779803277 absolute error 2.6645352591003757e-15 relative error 2.6548316424226866e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.861424185939351 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.861424185939353 Order of pole (six term test) 1.7763568394002505e-14 TOP MAIN SOLVE Loop x[1] -1.5709999999999922 y[1] (closed_form) -1.0039435558763576 y[1] (numeric) -1.0039435558763603 absolute error 2.6645352591003757e-15 relative error 2.6540687905252427e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8622677036344628 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8622677036344664 Order of pole (six term test) 2.930988785010413e-14 TOP MAIN SOLVE Loop x[1] -1.571999999999992 y[1] (closed_form) -1.0042317725335257 y[1] (numeric) -1.0042317725335284 absolute error 2.6645352591003757e-15 relative error 2.6533070671306826e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.863111376166217 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8631113761662166 Order of pole (six term test) 1.865174681370263e-14 TOP MAIN SOLVE Loop x[1] -1.572999999999992 y[1] (closed_form) -1.0045197282587077 y[1] (numeric) -1.0045197282587104 absolute error 2.6645352591003757e-15 relative error 2.6525464698630003e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.863955203324365 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8639552033243654 Order of pole (six term test) 7.105427357601002e-15 TOP MAIN SOLVE Loop x[1] -1.5739999999999919 y[1] (closed_form) -1.0048074233584 y[1] (numeric) -1.0048074233584026 absolute error 2.6645352591003757e-15 relative error 2.651786996352609e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.864799184899 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8647991848990004 Order of pole (six term test) 4.3520742565306136e-14 TOP MAIN SOLVE Loop x[1] -1.5749999999999917 y[1] (closed_form) -1.0050948581387165 y[1] (numeric) -1.0050948581387191 absolute error 2.6645352591003757e-15 relative error 2.651028644236318e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8656433206805565 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.865643320680559 Order of pole (six term test) 2.6645352591003757e-14 TOP MAIN SOLVE Loop x[1] -1.5759999999999916 y[1] (closed_form) -1.00538203290539 y[1] (numeric) -1.0053820329053926 absolute error 2.6645352591003757e-15 relative error 2.6502714111573126e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8664876104598105 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8664876104598143 Order of pole (six term test) 3.552713678800501e-14 TOP MAIN SOLVE Loop x[1] -1.5769999999999915 y[1] (closed_form) -1.0056689479637713 y[1] (numeric) -1.0056689479637742 absolute error 2.886579864025407e-15 relative error 2.870308235995564e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.867332054027878 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8673320540278764 Order of pole (six term test) -6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.5779999999999914 y[1] (closed_form) -1.0059556036188309 y[1] (numeric) -1.0059556036188337 absolute error 2.886579864025407e-15 relative error 2.8694903171086345e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.868176651176214 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8681766511762168 Order of pole (six term test) 3.375077994860476e-14 TOP MAIN SOLVE Loop x[1] -1.5789999999999913 y[1] (closed_form) -1.0062420001751582 y[1] (numeric) -1.006242000175161 absolute error 2.886579864025407e-15 relative error 2.868673602893673e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8690214016966131 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.869021401696611 Order of pole (six term test) 1.0658141036401503e-14 TOP MAIN SOLVE Loop x[1] -1.5799999999999912 y[1] (closed_form) -1.0065281379369624 y[1] (numeric) -1.0065281379369653 absolute error 2.886579864025407e-15 relative error 2.867858090824869e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8698663053812088 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8698663053812077 Order of pole (six term test) -1.1546319456101628e-14 TOP MAIN SOLVE Loop x[1] -1.580999999999991 y[1] (closed_form) -1.0068140172080724 y[1] (numeric) -1.0068140172080753 absolute error 2.886579864025407e-15 relative error 2.867043778383207e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.870711362022472 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8707113620224756 Order of pole (six term test) 2.4868995751603507e-14 TOP MAIN SOLVE Loop x[1] -1.581999999999991 y[1] (closed_form) -1.007099638291938 y[1] (numeric) -1.0070996382919408 absolute error 2.886579864025407e-15 relative error 2.866230663056445e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8715565714132103 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.87155657141321 Order of pole (six term test) 7.993605777301127e-15 TOP MAIN SOLVE Loop x[1] -1.5829999999999909 y[1] (closed_form) -1.0073850014916288 y[1] (numeric) -1.0073850014916317 absolute error 2.886579864025407e-15 relative error 2.8654187423390916e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8724019333465693 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8724019333465711 Order of pole (six term test) 3.9968028886505635e-14 TOP MAIN SOLVE Loop x[1] -1.5839999999999907 y[1] (closed_form) -1.007670107109836 y[1] (numeric) -1.007670107109839 absolute error 3.1086244689504383e-15 relative error 3.0849624763271845e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.87324744761603 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8732474476160277 Order of pole (six term test) 8.881784197001252e-16 TOP MAIN SOLVE Loop x[1] -1.5849999999999906 y[1] (closed_form) -1.007954955448872 y[1] (numeric) -1.0079549554488751 absolute error 3.1086244689504383e-15 relative error 3.0840906651092125e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8740931140154082 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8740931140154076 Order of pole (six term test) 9.769962616701378e-15 TOP MAIN SOLVE Loop x[1] -1.5859999999999905 y[1] (closed_form) -1.008239546810671 y[1] (numeric) -1.008239546810674 absolute error 2.886579864025407e-15 relative error 2.862990122889371e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8749389323388561 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8749389323388561 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.5869999999999904 y[1] (closed_form) -1.0085238814967885 y[1] (numeric) -1.0085238814967916 absolute error 3.1086244689504383e-15 relative error 3.08235087535737e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8757849023808593 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.87578490238086 Order of pole (six term test) 1.0658141036401503e-14 TOP MAIN SOLVE Loop x[1] -1.5879999999999903 y[1] (closed_form) -1.008807959808403 y[1] (numeric) -1.008807959808406 absolute error 3.1086244689504383e-15 relative error 3.081482891491896e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.876631023936237 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8766310239362376 Order of pole (six term test) -9.769962616701378e-15 TOP MAIN SOLVE Loop x[1] -1.5889999999999902 y[1] (closed_form) -1.0090917820463154 y[1] (numeric) -1.0090917820463186 absolute error 3.1086244689504383e-15 relative error 3.080616178090883e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.877477296800142 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8774772968001392 Order of pole (six term test) -1.865174681370263e-14 TOP MAIN SOLVE Loop x[1] -1.58999999999999 y[1] (closed_form) -1.0093753485109496 y[1] (numeric) -1.0093753485109527 absolute error 3.1086244689504383e-15 relative error 3.079750732506339e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8783237207680599 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8783237207680612 Order of pole (six term test) 3.019806626980426e-14 TOP MAIN SOLVE Loop x[1] -1.59099999999999 y[1] (closed_form) -1.0096586595023525 y[1] (numeric) -1.0096586595023556 absolute error 3.1086244689504383e-15 relative error 3.078886552097358e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.8791702956358074 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.879170295635807 Order of pole (six term test) 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.5919999999999899 y[1] (closed_form) -1.0099417153201948 y[1] (numeric) -1.0099417153201982 absolute error 3.3306690738754696e-15 relative error 3.297882465246526e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8800170211995337 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8800170211995355 Order of pole (six term test) 3.108624468950438e-14 TOP MAIN SOLVE Loop x[1] -1.5929999999999898 y[1] (closed_form) -1.010224516263772 y[1] (numeric) -1.0102245162637753 absolute error 3.3306690738754696e-15 relative error 3.2969592602975633e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8808638972557177 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8808638972557157 Order of pole (six term test) 1.0658141036401503e-14 TOP MAIN SOLVE Loop x[1] -1.5939999999999896 y[1] (closed_form) -1.0105070626320025 y[1] (numeric) -1.0105070626320058 absolute error 3.3306690738754696e-15 relative error 3.296037402450499e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8817109236011695 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8817109236011726 Order of pole (six term test) 1.509903313490213e-14 TOP MAIN SOLVE Loop x[1] -1.5949999999999895 y[1] (closed_form) -1.0107893547234303 y[1] (numeric) -1.0107893547234337 absolute error 3.3306690738754696e-15 relative error 3.2951168889058976e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8825581000330287 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.882558100033029 Order of pole (six term test) 2.1316282072803006e-14 TOP MAIN SOLVE Loop x[1] -1.5959999999999894 y[1] (closed_form) -1.0110713928362245 y[1] (numeric) -1.0110713928362278 absolute error 3.3306690738754696e-15 relative error 3.294197716871788e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8834054263487632 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8834054263487638 Order of pole (six term test) 7.993605777301127e-15 TOP MAIN SOLVE Loop x[1] -1.5969999999999893 y[1] (closed_form) -1.0113531772681787 y[1] (numeric) -1.011353177268182 absolute error 3.3306690738754696e-15 relative error 3.2932798835636445e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8842529023461703 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8842529023461683 Order of pole (six term test) -7.105427357601002e-15 TOP MAIN SOLVE Loop x[1] -1.5979999999999892 y[1] (closed_form) -1.011634708316713 y[1] (numeric) -1.0116347083167163 absolute error 3.3306690738754696e-15 relative error 3.2923633862043565e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8851005278233746 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.885100527823377 Order of pole (six term test) 1.7763568394002505e-15 TOP MAIN SOLVE Loop x[1] -1.598999999999989 y[1] (closed_form) -1.011915986278873 y[1] (numeric) -1.0119159862788765 absolute error 3.552713678800501e-15 relative error 3.510878103492489e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8859483025788286 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8859483025788255 Order of pole (six term test) -2.398081733190338e-14 TOP MAIN SOLVE Loop x[1] -1.599999999999989 y[1] (closed_form) -1.012197011451331 y[1] (numeric) -1.0121970114513346 absolute error 3.552713678800501e-15 relative error 3.509903347478244e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8867962264113114 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8867962264113094 Order of pole (six term test) 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.6009999999999889 y[1] (closed_form) -1.012477784130386 y[1] (numeric) -1.0124777841303896 absolute error 3.552713678800501e-15 relative error 3.508930007636578e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.887644299119928 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8876442991199276 Order of pole (six term test) 6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.6019999999999888 y[1] (closed_form) -1.0127583046119637 y[1] (numeric) -1.0127583046119673 absolute error 3.552713678800501e-15 relative error 3.507958081036636e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8884925205041094 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8884925205041097 Order of pole (six term test) -6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.6029999999999887 y[1] (closed_form) -1.0130385731916176 y[1] (numeric) -1.0130385731916212 absolute error 3.552713678800501e-15 relative error 3.5069875647553455e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8893408903636113 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8893408903636117 Order of pole (six term test) 1.687538997430238e-14 TOP MAIN SOLVE Loop x[1] -1.6039999999999885 y[1] (closed_form) -1.0133185901645285 y[1] (numeric) -1.013318590164532 absolute error 3.552713678800501e-15 relative error 3.5060184558773965e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8901894084985142 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8901894084985076 Order of pole (six term test) 8.881784197001252e-16 TOP MAIN SOLVE Loop x[1] -1.6049999999999884 y[1] (closed_form) -1.013598355825506 y[1] (numeric) -1.0135983558255093 absolute error 3.3306690738754696e-15 relative error 3.2859850795267615e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8910380747092224 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.891038074709222 Order of pole (six term test) -3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.6059999999999883 y[1] (closed_form) -1.013877870468987 y[1] (numeric) -1.0138778704689904 absolute error 3.3306690738754696e-15 relative error 3.2850791706646187e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8918868887964635 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8918868887964644 Order of pole (six term test) 9.769962616701378e-15 TOP MAIN SOLVE Loop x[1] -1.6069999999999882 y[1] (closed_form) -1.014157134389038 y[1] (numeric) -1.0141571343890416 absolute error 3.552713678800501e-15 relative error 3.50311954462636e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.892735850561288 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8927358505612892 Order of pole (six term test) 7.993605777301127e-15 TOP MAIN SOLVE Loop x[1] -1.607999999999988 y[1] (closed_form) -1.0144361478793547 y[1] (numeric) -1.0144361478793584 absolute error 3.774758283725532e-15 relative error 3.721040788635677e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8935849598050682 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.893584959805067 Order of pole (six term test) 1.9539925233402755e-14 TOP MAIN SOLVE Loop x[1] -1.608999999999988 y[1] (closed_form) -1.0147149112332619 y[1] (numeric) -1.0147149112332656 absolute error 3.774758283725532e-15 relative error 3.720018541107054e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8944342163294987 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8944342163294994 Order of pole (six term test) 8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.6099999999999879 y[1] (closed_form) -1.014993424743714 y[1] (numeric) -1.0149934247437178 absolute error 3.774758283725532e-15 relative error 3.7189977705310346e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8952836199365943 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8952836199365948 Order of pole (six term test) 3.197442310920451e-14 TOP MAIN SOLVE Loop x[1] -1.6109999999999878 y[1] (closed_form) -1.015271688703296 y[1] (numeric) -1.0152716887033 absolute error 3.9968028886505635e-15 relative error 3.936683089976907e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8961331704286915 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.896133170428691 Order of pole (six term test) 5.329070518200751e-15 TOP MAIN SOLVE Loop x[1] -1.6119999999999877 y[1] (closed_form) -1.0155497034042233 y[1] (numeric) -1.0155497034042273 absolute error 3.9968028886505635e-15 relative error 3.93560539208754e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8969828676084453 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8969828676084441 Order of pole (six term test) 1.2434497875801753e-14 TOP MAIN SOLVE Loop x[1] -1.6129999999999876 y[1] (closed_form) -1.015827469138342 y[1] (numeric) -1.0158274691383462 absolute error 4.218847493575595e-15 relative error 4.15311420664196e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8978327112788314 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.89783271127883 Order of pole (six term test) 2.220446049250313e-14 TOP MAIN SOLVE Loop x[1] -1.6139999999999874 y[1] (closed_form) -1.0161049861971296 y[1] (numeric) -1.0161049861971339 absolute error 4.218847493575595e-15 relative error 4.151979914364003e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8986827012431433 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.898682701243144 Order of pole (six term test) 1.509903313490213e-14 TOP MAIN SOLVE Loop x[1] -1.6149999999999873 y[1] (closed_form) -1.016382254871695 y[1] (numeric) -1.0163822548716992 absolute error 4.218847493575595e-15 relative error 4.1508472558960306e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8995328373049936 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8995328373049938 Order of pole (six term test) 1.0658141036401503e-14 TOP MAIN SOLVE Loop x[1] -1.6159999999999872 y[1] (closed_form) -1.0166592754527788 y[1] (numeric) -1.016659275452783 absolute error 4.218847493575595e-15 relative error 4.1497162278844027e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9003831192683118 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9003831192683118 Order of pole (six term test) 9.769962616701378e-15 TOP MAIN SOLVE Loop x[1] -1.6169999999999871 y[1] (closed_form) -1.0169360482307543 y[1] (numeric) -1.0169360482307586 absolute error 4.218847493575595e-15 relative error 4.1485868269843163e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9012335469373451 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9012335469373447 Order of pole (six term test) -8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.617999999999987 y[1] (closed_form) -1.017212573495627 y[1] (numeric) -1.0172125734956314 absolute error 4.440892098500626e-15 relative error 4.365746368273453e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9020841201166572 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.902084120116653 Order of pole (six term test) 8.881784197001252e-16 TOP MAIN SOLVE Loop x[1] -1.618999999999987 y[1] (closed_form) -1.0174888515370357 y[1] (numeric) -1.0174888515370402 absolute error 4.440892098500626e-15 relative error 4.3645609401932414e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9029348386111276 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.902934838611127 Order of pole (six term test) -1.2434497875801753e-14 TOP MAIN SOLVE Loop x[1] -1.6199999999999868 y[1] (closed_form) -1.0177648826442525 y[1] (numeric) -1.017764882644257 absolute error 4.440892098500626e-15 relative error 4.3633772143550046e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.903785702225951 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.90378570222595 Order of pole (six term test) 1.5987211554602254e-14 TOP MAIN SOLVE Loop x[1] -1.6209999999999867 y[1] (closed_form) -1.0180406671061824 y[1] (numeric) -1.018040667106187 absolute error 4.6629367034256575e-15 relative error 4.58030494663855e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9046367107666378 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.904636710766638 Order of pole (six term test) 2.4868995751603507e-14 TOP MAIN SOLVE Loop x[1] -1.6219999999999866 y[1] (closed_form) -1.0183162052113655 y[1] (numeric) -1.0183162052113701 absolute error 4.6629367034256575e-15 relative error 4.579065598251774e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.905487864039012 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9054878640390132 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.6229999999999865 y[1] (closed_form) -1.0185914972479755 y[1] (numeric) -1.0185914972479801 absolute error 4.6629367034256575e-15 relative error 4.577828026273489e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.906339161849212 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9063391618492076 Order of pole (six term test) -1.3322676295501878e-14 TOP MAIN SOLVE Loop x[1] -1.6239999999999863 y[1] (closed_form) -1.018866543503821 y[1] (numeric) -1.0188665435038258 absolute error 4.6629367034256575e-15 relative error 4.57659222707431e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.907190604003689 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9071906040036886 Order of pole (six term test) -7.105427357601002e-15 TOP MAIN SOLVE Loop x[1] -1.6249999999999862 y[1] (closed_form) -1.019141344266346 y[1] (numeric) -1.0191413442663506 absolute error 4.6629367034256575e-15 relative error 4.575358197034374e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9080421903092069 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9080421903092084 Order of pole (six term test) -1.0658141036401503e-14 TOP MAIN SOLVE Loop x[1] -1.6259999999999861 y[1] (closed_form) -1.0194158998226293 y[1] (numeric) -1.019415899822634 absolute error 4.6629367034256575e-15 relative error 4.574125932543305e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9088939205728417 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.908893920572842 Order of pole (six term test) 7.993605777301127e-15 TOP MAIN SOLVE Loop x[1] -1.626999999999986 y[1] (closed_form) -1.019690210459386 y[1] (numeric) -1.0196902104593906 absolute error 4.6629367034256575e-15 relative error 4.57289543000019e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9097457946019816 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.90974579460198 Order of pole (six term test) -8.881784197001252e-16 TOP MAIN SOLVE Loop x[1] -1.627999999999986 y[1] (closed_form) -1.019964276462967 y[1] (numeric) -1.0199642764629717 absolute error 4.6629367034256575e-15 relative error 4.57166668581354e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9105978122043252 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9105978122043235 Order of pole (six term test) 7.105427357601002e-15 TOP MAIN SOLVE Loop x[1] -1.6289999999999858 y[1] (closed_form) -1.0202380981193602 y[1] (numeric) -1.0202380981193648 absolute error 4.6629367034256575e-15 relative error 4.570439696401269e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9114499731878818 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.91144997318788 Order of pole (six term test) -3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.6299999999999857 y[1] (closed_form) -1.0205116757141894 y[1] (numeric) -1.020511675714194 absolute error 4.6629367034256575e-15 relative error 4.569214458190664e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9123022773609704 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9123022773609688 Order of pole (six term test) 1.3322676295501878e-14 TOP MAIN SOLVE Loop x[1] -1.6309999999999856 y[1] (closed_form) -1.0207850095327164 y[1] (numeric) -1.0207850095327213 absolute error 4.884981308350689e-15 relative error 4.785514347028745e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9131547245322196 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9131547245322151 Order of pole (six term test) 8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.6319999999999855 y[1] (closed_form) -1.0210580998598406 y[1] (numeric) -1.0210580998598455 absolute error 4.884981308350689e-15 relative error 4.784234422136453e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.914007314510567 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9140073145105645 Order of pole (six term test) 6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.6329999999999854 y[1] (closed_form) -1.0213309469800986 y[1] (numeric) -1.0213309469801037 absolute error 5.10702591327572e-15 relative error 5.000363426151262e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9148600471052584 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9148600471052541 Order of pole (six term test) 2.042810365310288e-14 TOP MAIN SOLVE Loop x[1] -1.6339999999999852 y[1] (closed_form) -1.0216035511776662 y[1] (numeric) -1.021603551177671 absolute error 4.884981308350689e-15 relative error 4.781680038914769e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.915712922125847 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9157129221258447 Order of pole (six term test) 2.6645352591003757e-15 TOP MAIN SOLVE Loop x[1] -1.6349999999999851 y[1] (closed_form) -1.0218759127363568 y[1] (numeric) -1.0218759127363617 absolute error 4.884981308350689e-15 relative error 4.78040557318725e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9165659393821939 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9165659393821923 Order of pole (six term test) 1.5987211554602254e-14 TOP MAIN SOLVE Loop x[1] -1.635999999999985 y[1] (closed_form) -1.0221480319396237 y[1] (numeric) -1.0221480319396286 absolute error 4.884981308350689e-15 relative error 4.779132919799268e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9174190986844661 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.91741909868446 Order of pole (six term test) 1.1546319456101628e-14 TOP MAIN SOLVE Loop x[1] -1.636999999999985 y[1] (closed_form) -1.0224199090705588 y[1] (numeric) -1.0224199090705637 absolute error 4.884981308350689e-15 relative error 4.777862075075818e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9182723998431377 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9182723998431417 Order of pole (six term test) 7.105427357601002e-15 TOP MAIN SOLVE Loop x[1] -1.6379999999999848 y[1] (closed_form) -1.0226915444118942 y[1] (numeric) -1.0226915444118991 absolute error 4.884981308350689e-15 relative error 4.776593035351466e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9191258426689872 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9191258426689866 Order of pole (six term test) -6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.6389999999999847 y[1] (closed_form) -1.0229629382460022 y[1] (numeric) -1.022962938246007 absolute error 4.884981308350689e-15 relative error 4.775325796970319e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.919979426973099 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9199794269730968 Order of pole (six term test) 1.865174681370263e-14 TOP MAIN SOLVE Loop x[1] -1.6399999999999846 y[1] (closed_form) -1.023234090854895 y[1] (numeric) -1.0232340908548998 absolute error 4.884981308350689e-15 relative error 4.774060356285988e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9208331525668618 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9208331525668594 Order of pole (six term test) 8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.6409999999999845 y[1] (closed_form) -1.0235050025202257 y[1] (numeric) -1.0235050025202306 absolute error 4.884981308350689e-15 relative error 4.772796709661569e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9216870192619684 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9216870192619688 Order of pole (six term test) -8.881784197001252e-16 TOP MAIN SOLVE Loop x[1] -1.6419999999999844 y[1] (closed_form) -1.0237756735232888 y[1] (numeric) -1.0237756735232937 absolute error 4.884981308350689e-15 relative error 4.771534853469602e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9225410268704146 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9225410268704166 Order of pole (six term test) 8.881784197001252e-16 TOP MAIN SOLVE Loop x[1] -1.6429999999999843 y[1] (closed_form) -1.0240461041450204 y[1] (numeric) -1.0240461041450253 absolute error 4.884981308350689e-15 relative error 4.770274784092046e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9233951752044998 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9233951752044989 Order of pole (six term test) -8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.6439999999999841 y[1] (closed_form) -1.0243162946659978 y[1] (numeric) -1.0243162946660027 absolute error 4.884981308350689e-15 relative error 4.769016497920255e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9242494640768248 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.924249464076822 Order of pole (six term test) 1.687538997430238e-14 TOP MAIN SOLVE Loop x[1] -1.644999999999984 y[1] (closed_form) -1.0245862453664412 y[1] (numeric) -1.0245862453664463 absolute error 5.10702591327572e-15 relative error 4.984476354598342e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9251038933002935 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.925103893300294 Order of pole (six term test) 1.7763568394002505e-15 TOP MAIN SOLVE Loop x[1] -1.645999999999984 y[1] (closed_form) -1.0248559565262132 y[1] (numeric) -1.0248559565262183 absolute error 5.10702591327572e-15 relative error 4.983164590842767e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9259584626881097 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9259584626881094 Order of pole (six term test) -1.7763568394002505e-15 TOP MAIN SOLVE Loop x[1] -1.6469999999999838 y[1] (closed_form) -1.0251254284248192 y[1] (numeric) -1.0251254284248243 absolute error 5.10702591327572e-15 relative error 4.981854680088311e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9268131720537793 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9268131720537691 Order of pole (six term test) 1.1546319456101628e-14 TOP MAIN SOLVE Loop x[1] -1.6479999999999837 y[1] (closed_form) -1.0253946613414082 y[1] (numeric) -1.0253946613414133 absolute error 5.10702591327572e-15 relative error 4.980546618601246e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9276680212111075 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9276680212110973 Order of pole (six term test) 8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.6489999999999836 y[1] (closed_form) -1.0256636555547725 y[1] (numeric) -1.0256636555547776 absolute error 5.10702591327572e-15 relative error 4.979240402657512e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9285230099741995 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9285230099741972 Order of pole (six term test) 1.865174681370263e-14 TOP MAIN SOLVE Loop x[1] -1.6499999999999835 y[1] (closed_form) -1.0259324113433486 y[1] (numeric) -1.0259324113433537 absolute error 5.10702591327572e-15 relative error 4.977936028542676e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9293781381574597 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9293781381574604 Order of pole (six term test) 4.440892098500626e-15 TOP MAIN SOLVE Loop x[1] -1.6509999999999834 y[1] (closed_form) -1.0262009289852174 y[1] (numeric) -1.0262009289852225 absolute error 5.10702591327572e-15 relative error 4.976633492551912e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9302334055755912 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9302334055755823 Order of pole (six term test) -7.105427357601002e-15 TOP MAIN SOLVE Loop x[1] -1.6519999999999833 y[1] (closed_form) -1.0264692087581047 y[1] (numeric) -1.02646920875811 absolute error 5.329070518200751e-15 relative error 5.191651607989527e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9310888120435954 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9310888120435987 Order of pole (six term test) -1.2434497875801753e-14 TOP MAIN SOLVE Loop x[1] -1.6529999999999831 y[1] (closed_form) -1.0267372509393815 y[1] (numeric) -1.0267372509393866 absolute error 5.10702591327572e-15 relative error 4.97403392017111e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.931944357376771 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9319443573767665 Order of pole (six term test) 8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.653999999999983 y[1] (closed_form) -1.0270050558060637 y[1] (numeric) -1.027005055806069 absolute error 5.329070518200751e-15 relative error 5.188942827567809e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9328000413907136 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9328000413907096 Order of pole (six term test) 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.654999999999983 y[1] (closed_form) -1.0272726236348138 y[1] (numeric) -1.027272623634819 absolute error 5.329070518200751e-15 relative error 5.18759129328768e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9336558639013157 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9336558639013126 Order of pole (six term test) -4.440892098500626e-15 TOP MAIN SOLVE Loop x[1] -1.6559999999999828 y[1] (closed_form) -1.0275399547019402 y[1] (numeric) -1.0275399547019455 absolute error 5.329070518200751e-15 relative error 5.186241657869705e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.934511824724766 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9345118247247624 Order of pole (six term test) 1.7763568394002505e-14 TOP MAIN SOLVE Loop x[1] -1.6569999999999827 y[1] (closed_form) -1.0278070492833975 y[1] (numeric) -1.027807049283403 absolute error 5.551115123125783e-15 relative error 5.400931164070244e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9353679236775478 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9353679236775412 Order of pole (six term test) 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.6579999999999826 y[1] (closed_form) -1.028073907654788 y[1] (numeric) -1.0280739076547936 absolute error 5.551115123125783e-15 relative error 5.39952923792106e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9362241605764408 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9362241605764368 Order of pole (six term test) -5.329070518200751e-15 TOP MAIN SOLVE Loop x[1] -1.6589999999999825 y[1] (closed_form) -1.028340530091361 y[1] (numeric) -1.0283405300913666 absolute error 5.551115123125783e-15 relative error 5.39812927788872e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9370805352385176 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9370805352385143 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.6599999999999824 y[1] (closed_form) -1.0286069168680132 y[1] (numeric) -1.028606916868019 absolute error 5.773159728050814e-15 relative error 5.612600531240257e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.937937047481146 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9379370474811415 Order of pole (six term test) 1.2434497875801753e-14 TOP MAIN SOLVE Loop x[1] -1.6609999999999823 y[1] (closed_form) -1.02887306825929 y[1] (numeric) -1.0288730682592955 absolute error 5.551115123125783e-15 relative error 5.395335240446615e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9387936971219863 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9387936971219828 Order of pole (six term test) -3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.6619999999999822 y[1] (closed_form) -1.0291389845393841 y[1] (numeric) -1.0291389845393897 absolute error 5.551115123125783e-15 relative error 5.393941155198117e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9396504839789928 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9396504839789872 Order of pole (six term test) -3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.662999999999982 y[1] (closed_form) -1.0294046659821383 y[1] (numeric) -1.0294046659821439 absolute error 5.551115123125783e-15 relative error 5.392549020388939e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9405074078704105 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9405074078704043 Order of pole (six term test) -3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.663999999999982 y[1] (closed_form) -1.0296701128610437 y[1] (numeric) -1.0296701128610493 absolute error 5.551115123125783e-15 relative error 5.391158832124826e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9413644686147782 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.94136446861478 Order of pole (six term test) 5.329070518200751e-15 TOP MAIN SOLVE Loop x[1] -1.6649999999999818 y[1] (closed_form) -1.0299353254492412 y[1] (numeric) -1.0299353254492467 absolute error 5.551115123125783e-15 relative error 5.389770586521514e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9422216660309244 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9422216660309144 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.6659999999999817 y[1] (closed_form) -1.0302003040195216 y[1] (numeric) -1.0302003040195271 absolute error 5.551115123125783e-15 relative error 5.38838427970469e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9430789999379694 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.943078999937969 Order of pole (six term test) -3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.6669999999999816 y[1] (closed_form) -1.0304650488443257 y[1] (numeric) -1.0304650488443314 absolute error 5.773159728050814e-15 relative error 5.602479904122373e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9439364701553234 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.943936470155321 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.6679999999999815 y[1] (closed_form) -1.0307295601957454 y[1] (numeric) -1.0307295601957511 absolute error 5.773159728050814e-15 relative error 5.60104216566219e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9447940765026868 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9447940765026832 Order of pole (six term test) 9.769962616701378e-15 TOP MAIN SOLVE Loop x[1] -1.6689999999999814 y[1] (closed_form) -1.0309938383455233 y[1] (numeric) -1.0309938383455288 absolute error 5.551115123125783e-15 relative error 5.384236953378768e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9456518188000487 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9456518188000507 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.6699999999999813 y[1] (closed_form) -1.031257883565053 y[1] (numeric) -1.0312578835650588 absolute error 5.773159728050814e-15 relative error 5.598172697689381e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9465096968676876 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.946509696867693 Order of pole (six term test) 1.509903313490213e-14 TOP MAIN SOLVE Loop x[1] -1.6709999999999812 y[1] (closed_form) -1.0315216961253806 y[1] (numeric) -1.0315216961253864 absolute error 5.773159728050814e-15 relative error 5.596740960210585e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.94736771052617 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9473677105261646 Order of pole (six term test) -4.440892098500626e-15 TOP MAIN SOLVE Loop x[1] -1.671999999999981 y[1] (closed_form) -1.0317852762972037 y[1] (numeric) -1.0317852762972095 absolute error 5.773159728050814e-15 relative error 5.595311215109708e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.94822585959635 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9482258595963458 Order of pole (six term test) -1.0658141036401503e-14 TOP MAIN SOLVE Loop x[1] -1.672999999999981 y[1] (closed_form) -1.0320486243508726 y[1] (numeric) -1.0320486243508784 absolute error 5.773159728050814e-15 relative error 5.593883458429061e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9490841438993691 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9490841438993616 Order of pole (six term test) 2.6645352591003757e-15 TOP MAIN SOLVE Loop x[1] -1.6739999999999808 y[1] (closed_form) -1.0323117405563904 y[1] (numeric) -1.0323117405563962 absolute error 5.773159728050814e-15 relative error 5.592457686221048e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9499425632566556 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.949942563256645 Order of pole (six term test) -4.440892098500626e-15 TOP MAIN SOLVE Loop x[1] -1.6749999999999807 y[1] (closed_form) -1.0325746251834134 y[1] (numeric) -1.0325746251834191 absolute error 5.773159728050814e-15 relative error 5.591033894548148e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9508011174899238 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9508011174899227 Order of pole (six term test) 2.6645352591003757e-15 TOP MAIN SOLVE Loop x[1] -1.6759999999999806 y[1] (closed_form) -1.0328372785012512 y[1] (numeric) -1.0328372785012572 absolute error 5.995204332975845e-15 relative error 5.804597159462988e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.951659806421174 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9516598064211634 Order of pole (six term test) -7.105427357601002e-15 TOP MAIN SOLVE Loop x[1] -1.6769999999999805 y[1] (closed_form) -1.0330997007788678 y[1] (numeric) -1.033099700778874 absolute error 6.217248937900877e-15 relative error 6.018053178423736e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9525186298726922 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9525186298726855 Order of pole (six term test) 2.6645352591003757e-15 TOP MAIN SOLVE Loop x[1] -1.6779999999999804 y[1] (closed_form) -1.0333618922848815 y[1] (numeric) -1.0333618922848877 absolute error 6.217248937900877e-15 relative error 6.016526237631839e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9533775876670476 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9533775876670376 Order of pole (six term test) -6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.6789999999999803 y[1] (closed_form) -1.033623853287565 y[1] (numeric) -1.0336238532875712 absolute error 6.217248937900877e-15 relative error 6.015001412870038e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9542366796270951 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.954236679627098 Order of pole (six term test) 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.6799999999999802 y[1] (closed_form) -1.0338855840548458 y[1] (numeric) -1.0338855840548522 absolute error 6.439293542825908e-15 relative error 6.228245796378485e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.955095905575973 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9550959055759674 Order of pole (six term test) -1.5987211554602254e-14 TOP MAIN SOLVE Loop x[1] -1.68099999999998 y[1] (closed_form) -1.0341470848543075 y[1] (numeric) -1.034147084854314 absolute error 6.439293542825908e-15 relative error 6.226670883797044e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.955955265337102 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9559552653371008 Order of pole (six term test) -7.993605777301127e-15 TOP MAIN SOLVE Loop x[1] -1.68199999999998 y[1] (closed_form) -1.0344083559531891 y[1] (numeric) -1.0344083559531956 absolute error 6.439293542825908e-15 relative error 6.225098149842585e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9568147587341866 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9568147587341795 Order of pole (six term test) -1.7763568394002505e-15 TOP MAIN SOLVE Loop x[1] -1.6829999999999798 y[1] (closed_form) -1.034669397618386 y[1] (numeric) -1.0346693976183923 absolute error 6.217248937900877e-15 relative error 6.008923190549379e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9576743855912127 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9576743855912027 Order of pole (six term test) -4.440892098500626e-15 TOP MAIN SOLVE Loop x[1] -1.6839999999999797 y[1] (closed_form) -1.0349302101164495 y[1] (numeric) -1.034930210116456 absolute error 6.439293542825908e-15 relative error 6.221959200612536e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9585341457324486 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.958534145732444 Order of pole (six term test) -2.042810365310288e-14 TOP MAIN SOLVE Loop x[1] -1.6849999999999796 y[1] (closed_form) -1.0351907937135887 y[1] (numeric) -1.0351907937135951 absolute error 6.439293542825908e-15 relative error 6.220392976763179e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9593940389824431 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9593940389824362 Order of pole (six term test) -1.2434497875801753e-14 TOP MAIN SOLVE Loop x[1] -1.6859999999999795 y[1] (closed_form) -1.0354511486756692 y[1] (numeric) -1.0354511486756757 absolute error 6.439293542825908e-15 relative error 6.218828914393204e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.960254065166026 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9602540651660074 Order of pole (six term test) -1.687538997430238e-14 TOP MAIN SOLVE Loop x[1] -1.6869999999999794 y[1] (closed_form) -1.035711275268215 y[1] (numeric) -1.0357112752682214 absolute error 6.439293542825908e-15 relative error 6.217267009242845e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.961114224108308 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.961114224108294 Order of pole (six term test) -1.1546319456101628e-14 TOP MAIN SOLVE Loop x[1] -1.6879999999999793 y[1] (closed_form) -1.0359711737564072 y[1] (numeric) -1.0359711737564137 absolute error 6.439293542825908e-15 relative error 6.215707257063128e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9619745156346782 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.961974515634668 Order of pole (six term test) -1.1546319456101628e-14 TOP MAIN SOLVE Loop x[1] -1.6889999999999792 y[1] (closed_form) -1.0362308444050863 y[1] (numeric) -1.0362308444050927 absolute error 6.439293542825908e-15 relative error 6.214149653615832e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.962834939570806 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9628349395708098 Order of pole (six term test) -1.7763568394002505e-15 TOP MAIN SOLVE Loop x[1] -1.689999999999979 y[1] (closed_form) -1.0364902874787507 y[1] (numeric) -1.0364902874787572 absolute error 6.439293542825908e-15 relative error 6.212594194673456e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9636954957426391 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9636954957426316 Order of pole (six term test) -1.2434497875801753e-14 TOP MAIN SOLVE Loop x[1] -1.690999999999979 y[1] (closed_form) -1.0367495032415586 y[1] (numeric) -1.036749503241565 absolute error 6.439293542825908e-15 relative error 6.211040876019188e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9645561839764036 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9645561839764116 Order of pole (six term test) -1.7763568394002505e-15 TOP MAIN SOLVE Loop x[1] -1.6919999999999789 y[1] (closed_form) -1.037008491957327 y[1] (numeric) -1.0370084919573337 absolute error 6.661338147750939e-15 relative error 6.423610027703663e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9654170040986032 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9654170040985937 Order of pole (six term test) -8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.6929999999999787 y[1] (closed_form) -1.0372672538895338 y[1] (numeric) -1.0372672538895404 absolute error 6.661338147750939e-15 relative error 6.422007561476875e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9662779559360186 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9662779559360117 Order of pole (six term test) -1.9539925233402755e-14 TOP MAIN SOLVE Loop x[1] -1.6939999999999786 y[1] (closed_form) -1.037525789301316 y[1] (numeric) -1.0375257893013228 absolute error 6.8833827526759706e-15 relative error 6.634420872864601e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9671390393157082 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9671390393157007 Order of pole (six term test) -1.4210854715202004e-14 TOP MAIN SOLVE Loop x[1] -1.6949999999999785 y[1] (closed_form) -1.037784098455472 y[1] (numeric) -1.0377840984554787 absolute error 6.661338147750939e-15 relative error 6.418809227916452e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.968000254065006 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9680002540650046 Order of pole (six term test) -1.7763568394002505e-15 TOP MAIN SOLVE Loop x[1] -1.6959999999999784 y[1] (closed_form) -1.038042181614461 y[1] (numeric) -1.0380421816144676 absolute error 6.661338147750939e-15 relative error 6.417213351957046e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.968861600011521 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9688616000115031 Order of pole (six term test) -1.509903313490213e-14 TOP MAIN SOLVE Loop x[1] -1.6969999999999783 y[1] (closed_form) -1.0383000390404034 y[1] (numeric) -1.03830003904041 absolute error 6.661338147750939e-15 relative error 6.415619664145777e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9697230769831393 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9697230769831402 Order of pole (six term test) -1.0658141036401503e-14 TOP MAIN SOLVE Loop x[1] -1.6979999999999782 y[1] (closed_form) -1.0385576709950815 y[1] (numeric) -1.0385576709950883 absolute error 6.8833827526759706e-15 relative error 6.62782909887011e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9705846848080206 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9705846848080124 Order of pole (six term test) -4.440892098500626e-15 TOP MAIN SOLVE Loop x[1] -1.698999999999978 y[1] (closed_form) -1.0388150777399399 y[1] (numeric) -1.0388150777399467 absolute error 6.8833827526759706e-15 relative error 6.626186797029892e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9714464233145992 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9714464233145934 Order of pole (six term test) -2.6645352591003757e-15 TOP MAIN SOLVE Loop x[1] -1.699999999999978 y[1] (closed_form) -1.0390722595360853 y[1] (numeric) -1.0390722595360922 absolute error 6.8833827526759706e-15 relative error 6.624546743023624e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9723082923315831 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9723082923315909 Order of pole (six term test) 1.2434497875801753e-14 TOP MAIN SOLVE Loop x[1] -1.7009999999999779 y[1] (closed_form) -1.0393292166442876 y[1] (numeric) -1.0393292166442945 absolute error 6.8833827526759706e-15 relative error 6.62290893245602e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9731702916879539 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9731702916879428 Order of pole (six term test) -1.5987211554602254e-14 TOP MAIN SOLVE Loop x[1] -1.7019999999999778 y[1] (closed_form) -1.0395859493249797 y[1] (numeric) -1.0395859493249866 absolute error 6.8833827526759706e-15 relative error 6.621273360942849e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9740324212129658 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9740324212129632 Order of pole (six term test) 2.6645352591003757e-15 TOP MAIN SOLVE Loop x[1] -1.7029999999999776 y[1] (closed_form) -1.0398424578382583 y[1] (numeric) -1.0398424578382652 absolute error 6.8833827526759706e-15 relative error 6.619640024110884e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.974894680736146 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9748946807361432 Order of pole (six term test) -1.1546319456101628e-14 TOP MAIN SOLVE Loop x[1] -1.7039999999999775 y[1] (closed_form) -1.0400987424438841 y[1] (numeric) -1.040098742443891 absolute error 6.8833827526759706e-15 relative error 6.618008917597885e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9757570700872928 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9757570700872984 Order of pole (six term test) 8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.7049999999999774 y[1] (closed_form) -1.0403548034012817 y[1] (numeric) -1.0403548034012886 absolute error 6.8833827526759706e-15 relative error 6.616380037052549e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9766195890964764 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9766195890964642 Order of pole (six term test) -1.865174681370263e-14 TOP MAIN SOLVE Loop x[1] -1.7059999999999773 y[1] (closed_form) -1.040610640969541 y[1] (numeric) -1.040610640969548 absolute error 6.8833827526759706e-15 relative error 6.614753378134492e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9774822375940377 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9774822375940142 Order of pole (six term test) -3.2862601528904634e-14 TOP MAIN SOLVE Loop x[1] -1.7069999999999772 y[1] (closed_form) -1.0408662554074168 y[1] (numeric) -1.0408662554074237 absolute error 6.8833827526759706e-15 relative error 6.613128936514202e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9783450154105886 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9783450154105915 Order of pole (six term test) 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.707999999999977 y[1] (closed_form) -1.0411216469733293 y[1] (numeric) -1.0411216469733362 absolute error 6.8833827526759706e-15 relative error 6.611506707873018e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9792079223770103 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9792079223769987 Order of pole (six term test) -2.930988785010413e-14 TOP MAIN SOLVE Loop x[1] -1.708999999999977 y[1] (closed_form) -1.041376815925365 y[1] (numeric) -1.0413768159253716 absolute error 6.661338147750939e-15 relative error 6.396664536680404e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.980070958324454 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9800709583244327 Order of pole (six term test) -3.108624468950438e-14 TOP MAIN SOLVE Loop x[1] -1.7099999999999769 y[1] (closed_form) -1.0416317625212754 y[1] (numeric) -1.0416317625212823 absolute error 6.8833827526759706e-15 relative error 6.608268872307335e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9809341230843396 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9809341230843402 Order of pole (six term test) 4.440892098500626e-15 TOP MAIN SOLVE Loop x[1] -1.7109999999999768 y[1] (closed_form) -1.0418864870184803 y[1] (numeric) -1.0418864870184872 absolute error 6.8833827526759706e-15 relative error 6.606653256799441e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9817974164883556 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9817974164883556 Order of pole (six term test) 4.440892098500626e-15 TOP MAIN SOLVE Loop x[1] -1.7119999999999767 y[1] (closed_form) -1.0421409896740652 y[1] (numeric) -1.042140989674072 absolute error 6.8833827526759706e-15 relative error 6.60503983710379e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9826608383684587 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9826608383684459 Order of pole (six term test) -9.769962616701378e-15 TOP MAIN SOLVE Loop x[1] -1.7129999999999765 y[1] (closed_form) -1.0423952707447837 y[1] (numeric) -1.0423952707447905 absolute error 6.8833827526759706e-15 relative error 6.603428608955454e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9835243885568739 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.983524388556886 Order of pole (six term test) 1.0658141036401503e-14 TOP MAIN SOLVE Loop x[1] -1.7139999999999764 y[1] (closed_form) -1.0426493304870563 y[1] (numeric) -1.0426493304870634 absolute error 7.105427357601002e-15 relative error 6.814781489651769e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9843880668860916 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9843880668860772 Order of pole (six term test) -1.687538997430238e-14 TOP MAIN SOLVE Loop x[1] -1.7149999999999763 y[1] (closed_form) -1.0429031691569728 y[1] (numeric) -1.0429031691569797 absolute error 6.8833827526759706e-15 relative error 6.600212710294217e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9852518731888704 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.985251873188856 Order of pole (six term test) -6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.7159999999999762 y[1] (closed_form) -1.04315678701029 y[1] (numeric) -1.0431567870102971 absolute error 7.105427357601002e-15 relative error 6.81146635489504e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9861158072982348 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9861158072982332 Order of pole (six term test) -7.105427357601002e-15 TOP MAIN SOLVE Loop x[1] -1.716999999999976 y[1] (closed_form) -1.043410184302435 y[1] (numeric) -1.0434101843024421 absolute error 7.105427357601002e-15 relative error 6.809812156808962e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9869798690474743 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9869798690474656 Order of pole (six term test) -7.993605777301127e-15 TOP MAIN SOLVE Loop x[1] -1.717999999999976 y[1] (closed_form) -1.0436633612885031 y[1] (numeric) -1.0436633612885102 absolute error 7.105427357601002e-15 relative error 6.808160199116951e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9878440582701444 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9878440582701389 Order of pole (six term test) -8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.7189999999999759 y[1] (closed_form) -1.0439163182232596 y[1] (numeric) -1.0439163182232667 absolute error 7.105427357601002e-15 relative error 6.806510477481954e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9887083748000653 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9887083748000345 Order of pole (six term test) -4.1744385725905886e-14 TOP MAIN SOLVE Loop x[1] -1.7199999999999758 y[1] (closed_form) -1.0441690553611398 y[1] (numeric) -1.044169055361147 absolute error 7.105427357601002e-15 relative error 6.804862987577711e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.989572818471321 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9895728184713128 Order of pole (six term test) -1.2434497875801753e-14 TOP MAIN SOLVE Loop x[1] -1.7209999999999757 y[1] (closed_form) -1.0444215729562494 y[1] (numeric) -1.0444215729562565 absolute error 7.105427357601002e-15 relative error 6.803217725088725e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.99043738911826 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9904373891182565 Order of pole (six term test) -1.509903313490213e-14 TOP MAIN SOLVE Loop x[1] -1.7219999999999756 y[1] (closed_form) -1.0446738712623642 y[1] (numeric) -1.0446738712623715 absolute error 7.327471962526033e-15 relative error 7.014123894638672e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9913020865754938 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9913020865754902 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.7229999999999754 y[1] (closed_form) -1.0449259505329322 y[1] (numeric) -1.0449259505329396 absolute error 7.327471962526033e-15 relative error 7.012431798434025e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9921669106778968 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9921669106778799 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.7239999999999753 y[1] (closed_form) -1.0451778110210719 y[1] (numeric) -1.0451778110210794 absolute error 7.549516567451064e-15 relative error 7.223188712814013e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.993031861260606 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9930318612605877 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.7249999999999752 y[1] (closed_form) -1.0454294529795742 y[1] (numeric) -1.0454294529795818 absolute error 7.549516567451064e-15 relative error 7.221450042309615e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.99389693815902 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.99389693815902 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.725999999999975 y[1] (closed_form) -1.0456808766609018 y[1] (numeric) -1.0456808766609096 absolute error 7.771561172376096e-15 relative error 7.432058236727507e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9947621412087992 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.99476214120879 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.726999999999975 y[1] (closed_form) -1.0459320823171905 y[1] (numeric) -1.0459320823171983 absolute error 7.771561172376096e-15 relative error 7.430273249825876e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9956274702458658 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9956274702458514 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.727999999999975 y[1] (closed_form) -1.0461830702002486 y[1] (numeric) -1.0461830702002564 absolute error 7.771561172376096e-15 relative error 7.428490666445742e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.996492925106401 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9964929251063808 Order of pole (six term test) -2.4868995751603507e-14 TOP MAIN SOLVE Loop x[1] -1.7289999999999748 y[1] (closed_form) -1.046433840561558 y[1] (numeric) -1.0464338405615659 absolute error 7.771561172376096e-15 relative error 7.426710481959917e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9973585056268472 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9973585056268324 Order of pole (six term test) -1.7763568394002505e-14 TOP MAIN SOLVE Loop x[1] -1.7299999999999747 y[1] (closed_form) -1.0466843936522743 y[1] (numeric) -1.0466843936522823 absolute error 7.993605777301127e-15 relative error 7.63707362580275e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9982242116439066 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.998224211643895 Order of pole (six term test) -1.4210854715202004e-14 TOP MAIN SOLVE Loop x[1] -1.7309999999999746 y[1] (closed_form) -1.0469347297232272 y[1] (numeric) -1.0469347297232352 absolute error 7.993605777301127e-15 relative error 7.635247499540258e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.99909004299454 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9990900429945293 Order of pole (six term test) -2.3092638912203256e-14 TOP MAIN SOLVE Loop x[1] -1.7319999999999744 y[1] (closed_form) -1.047184849024921 y[1] (numeric) -1.047184849024929 absolute error 7.993605777301127e-15 relative error 7.633423826504288e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9999559995159673 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.999955999515961 Order of pole (six term test) -2.042810365310288e-14 TOP MAIN SOLVE Loop x[1] -1.7329999999999743 y[1] (closed_form) -1.0474347518075342 y[1] (numeric) -1.0474347518075422 absolute error 7.993605777301127e-15 relative error 7.631602601982362e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0008220810456665 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.000822081045663 Order of pole (six term test) 8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.7339999999999742 y[1] (closed_form) -1.0476844383209212 y[1] (numeric) -1.0476844383209294 absolute error 8.215650382226158e-15 relative error 7.841722260753465e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0016882874213735 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0016882874213695 Order of pole (six term test) -7.993605777301127e-15 TOP MAIN SOLVE Loop x[1] -1.7349999999999741 y[1] (closed_form) -1.047933908814612 y[1] (numeric) -1.0479339088146202 absolute error 8.215650382226158e-15 relative error 7.839855465235807e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0025546184810814 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.002554618481082 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.735999999999974 y[1] (closed_form) -1.0481831635378123 y[1] (numeric) -1.0481831635378205 absolute error 8.215650382226158e-15 relative error 7.83799117178797e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0034210740630414 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0034210740630334 Order of pole (six term test) -6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.736999999999974 y[1] (closed_form) -1.0484322027394042 y[1] (numeric) -1.0484322027394124 absolute error 8.215650382226158e-15 relative error 7.83612937561421e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.004287654005759 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.00428765400576 Order of pole (six term test) -5.329070518200751e-15 TOP MAIN SOLVE Loop x[1] -1.7379999999999738 y[1] (closed_form) -1.0486810266679465 y[1] (numeric) -1.0486810266679547 absolute error 8.215650382226158e-15 relative error 7.834270071930608e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0051543581479976 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0051543581479967 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.7389999999999737 y[1] (closed_form) -1.048929635571675 y[1] (numeric) -1.0489296355716833 absolute error 8.215650382226158e-15 relative error 7.832413255965032e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0060211863287756 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.006021186328764 Order of pole (six term test) -2.4868995751603507e-14 TOP MAIN SOLVE Loop x[1] -1.7399999999999736 y[1] (closed_form) -1.0491780296985036 y[1] (numeric) -1.0491780296985118 absolute error 8.215650382226158e-15 relative error 7.830558922957093e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.006888138387366 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0068881383873634 Order of pole (six term test) -8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.7409999999999735 y[1] (closed_form) -1.049426209296023 y[1] (numeric) -1.0494262092960314 absolute error 8.43769498715119e-15 relative error 8.040293745675908e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0077552141632973 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.007755214163288 Order of pole (six term test) -2.5757174171303632e-14 TOP MAIN SOLVE Loop x[1] -1.7419999999999733 y[1] (closed_form) -1.0496741746115028 y[1] (numeric) -1.0496741746115112 absolute error 8.43769498715119e-15 relative error 8.038394381069805e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0086224134963513 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0086224134963584 Order of pole (six term test) 7.993605777301127e-15 TOP MAIN SOLVE Loop x[1] -1.7429999999999732 y[1] (closed_form) -1.0499219258918913 y[1] (numeric) -1.0499219258918997 absolute error 8.43769498715119e-15 relative error 8.036497551933215e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0094897362265645 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0094897362265733 Order of pole (six term test) 1.1546319456101628e-14 TOP MAIN SOLVE Loop x[1] -1.7439999999999731 y[1] (closed_form) -1.0501694633838154 y[1] (numeric) -1.0501694633838239 absolute error 8.43769498715119e-15 relative error 8.034603253425e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0103571821942254 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.010357182194212 Order of pole (six term test) -2.7533531010703882e-14 TOP MAIN SOLVE Loop x[1] -1.744999999999973 y[1] (closed_form) -1.0504167873335815 y[1] (numeric) -1.05041678733359 absolute error 8.43769498715119e-15 relative error 8.032711480715917e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0112247512398773 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.011224751239863 Order of pole (six term test) -1.2434497875801753e-14 TOP MAIN SOLVE Loop x[1] -1.745999999999973 y[1] (closed_form) -1.0506638979871756 y[1] (numeric) -1.050663897987184 absolute error 8.43769498715119e-15 relative error 8.03082222898857e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.012092443204314 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0120924432042964 Order of pole (six term test) -3.2862601528904634e-14 TOP MAIN SOLVE Loop x[1] -1.7469999999999728 y[1] (closed_form) -1.0509107955902641 y[1] (numeric) -1.0509107955902726 absolute error 8.43769498715119e-15 relative error 8.028935493437384e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0129602579285826 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0129602579285653 Order of pole (six term test) -3.019806626980426e-14 TOP MAIN SOLVE Loop x[1] -1.7479999999999727 y[1] (closed_form) -1.0511574803881936 y[1] (numeric) -1.051157480388202 absolute error 8.43769498715119e-15 relative error 8.02705126926856e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0138281952539807 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0138281952539807 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.7489999999999726 y[1] (closed_form) -1.0514039526259917 y[1] (numeric) -1.051403952626 absolute error 8.215650382226158e-15 relative error 7.81398087928689e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.014696255022058 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0146962550220566 Order of pole (six term test) -1.7763568394002505e-15 TOP MAIN SOLVE Loop x[1] -1.7499999999999725 y[1] (closed_form) -1.0516502125483669 y[1] (numeric) -1.0516502125483753 absolute error 8.43769498715119e-15 relative error 8.023290335961519e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0155644370746137 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.015564437074614 Order of pole (six term test) 2.6645352591003757e-15 TOP MAIN SOLVE Loop x[1] -1.7509999999999724 y[1] (closed_form) -1.0518962603997097 y[1] (numeric) -1.0518962603997182 absolute error 8.43769498715119e-15 relative error 8.021413617294306e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.016432741253698 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0164327412536607 Order of pole (six term test) -7.105427357601002e-14 TOP MAIN SOLVE Loop x[1] -1.7519999999999722 y[1] (closed_form) -1.0521420964240924 y[1] (numeric) -1.0521420964241008 absolute error 8.43769498715119e-15 relative error 8.019539390951394e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.017301167401611 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.017301167401588 Order of pole (six term test) -3.730349362740526e-14 TOP MAIN SOLVE Loop x[1] -1.7529999999999721 y[1] (closed_form) -1.0523877208652697 y[1] (numeric) -1.052387720865278 absolute error 8.43769498715119e-15 relative error 8.017667652197372e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0181697153609015 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0181697153608926 Order of pole (six term test) -1.509903313490213e-14 TOP MAIN SOLVE Loop x[1] -1.753999999999972 y[1] (closed_form) -1.0526331339666788 y[1] (numeric) -1.0526331339666872 absolute error 8.43769498715119e-15 relative error 8.0157983963084e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0190383849743676 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0190383849743716 Order of pole (six term test) 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.754999999999972 y[1] (closed_form) -1.0528783359714402 y[1] (numeric) -1.0528783359714486 absolute error 8.43769498715119e-15 relative error 8.013931618572182e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.019907176085055 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.019907176085051 Order of pole (six term test) -2.6645352591003757e-15 TOP MAIN SOLVE Loop x[1] -1.7559999999999718 y[1] (closed_form) -1.053123327122358 y[1] (numeric) -1.0531233271223663 absolute error 8.43769498715119e-15 relative error 8.01206731428792e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0207760885362585 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.020776088536239 Order of pole (six term test) -3.6415315207705135e-14 TOP MAIN SOLVE Loop x[1] -1.7569999999999717 y[1] (closed_form) -1.0533681076619197 y[1] (numeric) -1.0533681076619281 absolute error 8.43769498715119e-15 relative error 8.010205478766291e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0216451221715204 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0216451221715355 Order of pole (six term test) 3.2862601528904634e-14 TOP MAIN SOLVE Loop x[1] -1.7579999999999716 y[1] (closed_form) -1.0536126778322976 y[1] (numeric) -1.0536126778323058 absolute error 8.215650382226158e-15 relative error 7.797600157136525e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0225142768346283 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.022514276834616 Order of pole (six term test) -1.5987211554602254e-14 TOP MAIN SOLVE Loop x[1] -1.7589999999999715 y[1] (closed_form) -1.053857037875348 y[1] (numeric) -1.0538570378753562 absolute error 8.215650382226158e-15 relative error 7.795792111223648e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0233835523696193 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.023383552369597 Order of pole (six term test) -3.907985046680551e-14 TOP MAIN SOLVE Loop x[1] -1.7599999999999714 y[1] (closed_form) -1.0541011880326123 y[1] (numeric) -1.0541011880326208 absolute error 8.43769498715119e-15 relative error 8.004634738055281e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.024252948620774 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0242529486207794 Order of pole (six term test) 7.993605777301127e-15 TOP MAIN SOLVE Loop x[1] -1.7609999999999713 y[1] (closed_form) -1.0543451285453178 y[1] (numeric) -1.0543451285453262 absolute error 8.43769498715119e-15 relative error 8.00278273091914e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0251224654326214 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0251224654326028 Order of pole (six term test) -3.730349362740526e-14 TOP MAIN SOLVE Loop x[1] -1.7619999999999711 y[1] (closed_form) -1.0545888596543769 y[1] (numeric) -1.0545888596543853 absolute error 8.43769498715119e-15 relative error 8.000933169269868e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0259921026499335 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0259921026499437 Order of pole (six term test) 1.4210854715202004e-14 TOP MAIN SOLVE Loop x[1] -1.762999999999971 y[1] (closed_form) -1.0548323816003882 y[1] (numeric) -1.0548323816003966 absolute error 8.43769498715119e-15 relative error 7.999086048486252e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0268618601177284 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0268618601177373 Order of pole (six term test) 1.3322676295501878e-14 TOP MAIN SOLVE Loop x[1] -1.763999999999971 y[1] (closed_form) -1.0550756946236368 y[1] (numeric) -1.0550756946236453 absolute error 8.43769498715119e-15 relative error 7.997241363958305e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0277317376812687 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.027731737681254 Order of pole (six term test) -2.1316282072803006e-14 TOP MAIN SOLVE Loop x[1] -1.7649999999999708 y[1] (closed_form) -1.0553187989640946 y[1] (numeric) -1.0553187989641033 absolute error 8.659739592076221e-15 relative error 8.205804350852706e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.028601735186061 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0286017351860486 Order of pole (six term test) -2.1316282072803006e-14 TOP MAIN SOLVE Loop x[1] -1.7659999999999707 y[1] (closed_form) -1.055561694861421 y[1] (numeric) -1.0555616948614297 absolute error 8.659739592076221e-15 relative error 8.203916108582465e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.029471852477855 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0294718524778514 Order of pole (six term test) -8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.7669999999999706 y[1] (closed_form) -1.0558043825549626 y[1] (numeric) -1.0558043825549714 absolute error 8.881784197001252e-15 relative error 8.412338823133165e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0303420894026445 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0303420894026414 Order of pole (six term test) -9.769962616701378e-15 TOP MAIN SOLVE Loop x[1] -1.7679999999999705 y[1] (closed_form) -1.0560468622837542 y[1] (numeric) -1.056046862283763 absolute error 8.881784197001252e-15 relative error 8.410407259573641e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0312124458066654 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0312124458066703 Order of pole (six term test) 8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.7689999999999704 y[1] (closed_form) -1.0562891342865186 y[1] (numeric) -1.0562891342865277 absolute error 9.103828801926284e-15 relative error 8.618690192317049e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.032082921536396 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.032082921536368 Order of pole (six term test) -5.595524044110789e-14 TOP MAIN SOLVE Loop x[1] -1.7699999999999703 y[1] (closed_form) -1.056531198801668 y[1] (numeric) -1.056531198801677 absolute error 9.103828801926284e-15 relative error 8.616715542571739e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0329535164385573 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0329535164385586 Order of pole (six term test) 1.7763568394002505e-15 TOP MAIN SOLVE Loop x[1] -1.7709999999999702 y[1] (closed_form) -1.0567730560673025 y[1] (numeric) -1.0567730560673116 absolute error 9.103828801926284e-15 relative error 8.614743486936981e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.03382423036011 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0338242303601053 Order of pole (six term test) -6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.77199999999997 y[1] (closed_form) -1.057014706321213 y[1] (numeric) -1.057014706321222 absolute error 9.103828801926284e-15 relative error 8.612774020534535e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.034695063148258 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.034695063148254 Order of pole (six term test) -1.1546319456101628e-14 TOP MAIN SOLVE Loop x[1] -1.77299999999997 y[1] (closed_form) -1.057256149800879 y[1] (numeric) -1.0572561498008883 absolute error 9.325873406851315e-15 relative error 8.820826824802795e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0355660146504446 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0355660146504246 Order of pole (six term test) -3.2862601528904634e-14 TOP MAIN SOLVE Loop x[1] -1.7739999999999698 y[1] (closed_form) -1.0574973867434714 y[1] (numeric) -1.0574973867434807 absolute error 9.325873406851315e-15 relative error 8.81881461245974e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.036437084714353 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0364370847143407 Order of pole (six term test) -1.9539925233402755e-14 TOP MAIN SOLVE Loop x[1] -1.7749999999999697 y[1] (closed_form) -1.0577384173858504 y[1] (numeric) -1.05773841738586 absolute error 9.547918011776346e-15 relative error 9.026728967047984e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0373082731879073 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0373082731879055 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] -1.7759999999999696 y[1] (closed_form) -1.0579792419645682 y[1] (numeric) -1.0579792419645777 absolute error 9.547918011776346e-15 relative error 9.024674240344035e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.03817957991927 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0381795799192655 Order of pole (six term test) -7.993605777301127e-15 TOP MAIN SOLVE Loop x[1] -1.7769999999999695 y[1] (closed_form) -1.0582198607158677 y[1] (numeric) -1.0582198607158773 absolute error 9.547918011776346e-15 relative error 9.022622203780359e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.039051004756843 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0390510047568404 Order of pole (six term test) -4.440892098500626e-15 TOP MAIN SOLVE Loop x[1] -1.7779999999999694 y[1] (closed_form) -1.0584602738756839 y[1] (numeric) -1.0584602738756934 absolute error 9.547918011776346e-15 relative error 9.020572852314483e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.039922547549267 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0399225475492453 Order of pole (six term test) -4.1744385725905886e-14 TOP MAIN SOLVE Loop x[1] -1.7789999999999693 y[1] (closed_form) -1.058700481679643 y[1] (numeric) -1.0587004816796528 absolute error 9.769962616701378e-15 relative error 9.22825934791415e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0407942081454196 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0407942081454093 Order of pole (six term test) -1.865174681370263e-14 TOP MAIN SOLVE Loop x[1] -1.7799999999999692 y[1] (closed_form) -1.058940484363065 y[1] (numeric) -1.0589404843630748 absolute error 9.769962616701378e-15 relative error 9.226167816766254e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0416659863944178 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0416659863944036 Order of pole (six term test) -2.842170943040401e-14 TOP MAIN SOLVE Loop x[1] -1.780999999999969 y[1] (closed_form) -1.0591802821609617 y[1] (numeric) -1.0591802821609713 absolute error 9.547918011776346e-15 relative error 9.01444085826115e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0425378821456137 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.042537882145593 Order of pole (six term test) -3.8191672047105385e-14 TOP MAIN SOLVE Loop x[1] -1.781999999999969 y[1] (closed_form) -1.059419875308038 y[1] (numeric) -1.0594198753080477 absolute error 9.769962616701378e-15 relative error 9.221992945771998e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.043409895248599 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0434098952485904 Order of pole (six term test) -1.9539925233402755e-14 TOP MAIN SOLVE Loop x[1] -1.7829999999999688 y[1] (closed_form) -1.059659264038693 y[1] (numeric) -1.0596592640387028 absolute error 9.769962616701378e-15 relative error 9.219909595717584e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0442820255531986 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0442820255531853 Order of pole (six term test) -2.5757174171303632e-14 TOP MAIN SOLVE Loop x[1] -1.7839999999999687 y[1] (closed_form) -1.0598984485870193 y[1] (numeric) -1.059898448587029 absolute error 9.769962616701378e-15 relative error 9.21782896250673e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.045154272909476 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0451542729094654 Order of pole (six term test) -2.398081733190338e-14 TOP MAIN SOLVE Loop x[1] -1.7849999999999686 y[1] (closed_form) -1.060137429186804 y[1] (numeric) -1.0601374291868138 absolute error 9.769962616701378e-15 relative error 9.215751041066054e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0460266371677296 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.046026637167717 Order of pole (six term test) -2.5757174171303632e-14 TOP MAIN SOLVE Loop x[1] -1.7859999999999685 y[1] (closed_form) -1.0603762060715285 y[1] (numeric) -1.0603762060715383 absolute error 9.769962616701378e-15 relative error 9.213675826334355e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0468991181784917 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.046899118178488 Order of pole (six term test) -1.4210854715202004e-14 TOP MAIN SOLVE Loop x[1] -1.7869999999999684 y[1] (closed_form) -1.0606147794743697 y[1] (numeric) -1.0606147794743794 absolute error 9.769962616701378e-15 relative error 9.211603313262592e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.047771715792531 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0477717157925337 Order of pole (six term test) 7.105427357601002e-15 TOP MAIN SOLVE Loop x[1] -1.7879999999999683 y[1] (closed_form) -1.0608531496281994 y[1] (numeric) -1.0608531496282092 absolute error 9.769962616701378e-15 relative error 9.20953349681385e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.04864442986085 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0486444298608406 Order of pole (six term test) -2.042810365310288e-14 TOP MAIN SOLVE Loop x[1] -1.7889999999999682 y[1] (closed_form) -1.0610913167655855 y[1] (numeric) -1.0610913167655955 absolute error 9.992007221626409e-15 relative error 9.416726971326094e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0495172602346843 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.049517260234675 Order of pole (six term test) -2.042810365310288e-14 TOP MAIN SOLVE Loop x[1] -1.789999999999968 y[1] (closed_form) -1.0613292811187924 y[1] (numeric) -1.0613292811188022 absolute error 9.769962616701378e-15 relative error 9.20540193369813e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.050390206765504 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0503902067655 Order of pole (six term test) -1.0658141036401503e-14 TOP MAIN SOLVE Loop x[1] -1.790999999999968 y[1] (closed_form) -1.06156704291978 y[1] (numeric) -1.0615670429197899 absolute error 9.769962616701378e-15 relative error 9.203340177017599e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0512632693050117 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.051263269305002 Order of pole (six term test) -2.1316282072803006e-14 TOP MAIN SOLVE Loop x[1] -1.7919999999999678 y[1] (closed_form) -1.0618046024002061 y[1] (numeric) -1.0618046024002161 absolute error 9.992007221626409e-15 relative error 9.410401121863199e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.052136447705143 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0521364477051325 Order of pole (six term test) -2.3092638912203256e-14 TOP MAIN SOLVE Loop x[1] -1.7929999999999677 y[1] (closed_form) -1.0620419597914255 y[1] (numeric) -1.0620419597914355 absolute error 9.992007221626409e-15 relative error 9.408297976841461e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0530097418180664 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.053009741818051 Order of pole (six term test) -3.4638958368304884e-14 TOP MAIN SOLVE Loop x[1] -1.7939999999999676 y[1] (closed_form) -1.06227911532449 y[1] (numeric) -1.0622791153245 absolute error 9.992007221626409e-15 relative error 9.406197559079557e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.053883151496181 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0538831514961675 Order of pole (six term test) -2.842170943040401e-14 TOP MAIN SOLVE Loop x[1] -1.7949999999999675 y[1] (closed_form) -1.06251606923015 y[1] (numeric) -1.06251606923016 absolute error 9.992007221626409e-15 relative error 9.404099863511857e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0547566765921172 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0547566765921044 Order of pole (six term test) -2.6645352591003757e-14 TOP MAIN SOLVE Loop x[1] -1.7959999999999674 y[1] (closed_form) -1.0627528217388547 y[1] (numeric) -1.0627528217388644 absolute error 9.769962616701378e-15 relative error 9.193071443194066e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.055630316958738 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.05563031695871 Order of pole (six term test) -5.595524044110789e-14 TOP MAIN SOLVE Loop x[1] -1.7969999999999673 y[1] (closed_form) -1.0629893730807507 y[1] (numeric) -1.0629893730807605 absolute error 9.769962616701378e-15 relative error 9.191025671673574e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0565040724491364 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0565040724491266 Order of pole (six term test) -1.7763568394002505e-14 TOP MAIN SOLVE Loop x[1] -1.7979999999999672 y[1] (closed_form) -1.063225723485685 y[1] (numeric) -1.0632257234856948 absolute error 9.769962616701378e-15 relative error 9.18898254706581e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0573779429166343 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.057377942916612 Order of pole (six term test) -4.529709940470639e-14 TOP MAIN SOLVE Loop x[1] -1.798999999999967 y[1] (closed_form) -1.0634618731832035 y[1] (numeric) -1.0634618731832133 absolute error 9.769962616701378e-15 relative error 9.186942064464871e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0582519282147853 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.058251928214768 Order of pole (six term test) -3.2862601528904634e-14 TOP MAIN SOLVE Loop x[1] -1.799999999999967 y[1] (closed_form) -1.063697822402552 y[1] (numeric) -1.0636978224025617 absolute error 9.769962616701378e-15 relative error 9.18490421897656e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.059126028197371 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0591260281973347 Order of pole (six term test) -7.460698725481052e-14 TOP MAIN SOLVE Loop x[1] -1.8009999999999668 y[1] (closed_form) -1.0639335713726763 y[1] (numeric) -1.0639335713726863 absolute error 9.992007221626409e-15 relative error 9.391570574030128e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.060000242718403 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0600002427183974 Order of pole (six term test) -1.687538997430238e-14 TOP MAIN SOLVE Loop x[1] -1.8019999999999667 y[1] (closed_form) -1.0641691203222234 y[1] (numeric) -1.0641691203222334 absolute error 9.992007221626409e-15 relative error 9.38949179299705e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0608745716321213 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.060874571632102 Order of pole (six term test) -3.907985046680551e-14 TOP MAIN SOLVE Loop x[1] -1.8029999999999666 y[1] (closed_form) -1.064404469479541 y[1] (numeric) -1.064404469479551 absolute error 9.992007221626409e-15 relative error 9.387415694066162e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0617490147929933 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0617490147929787 Order of pole (six term test) -3.108624468950438e-14 TOP MAIN SOLVE Loop x[1] -1.8039999999999665 y[1] (closed_form) -1.0646396190726777 y[1] (numeric) -1.0646396190726877 absolute error 9.992007221626409e-15 relative error 9.38534227227956e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0626235720557156 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0626235720556747 Order of pole (six term test) -8.348877145181177e-14 TOP MAIN SOLVE Loop x[1] -1.8049999999999664 y[1] (closed_form) -1.0648745693293842 y[1] (numeric) -1.0648745693293942 absolute error 9.992007221626409e-15 relative error 9.383271522691146e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0634982432752103 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0634982432752103 Order of pole (six term test) 8.881784197001252e-16 TOP MAIN SOLVE Loop x[1] -1.8059999999999663 y[1] (closed_form) -1.0651093204771132 y[1] (numeric) -1.0651093204771231 absolute error 9.992007221626409e-15 relative error 9.381203440366585e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.064373028306628 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.064373028306625 Order of pole (six term test) -6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.8069999999999662 y[1] (closed_form) -1.06534387274302 y[1] (numeric) -1.0653438727430298 absolute error 9.769962616701378e-15 relative error 9.170712731041414e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0652479270053457 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.06524792700532 Order of pole (six term test) -5.1514348342607263e-14 TOP MAIN SOLVE Loop x[1] -1.807999999999966 y[1] (closed_form) -1.0655782263539622 y[1] (numeric) -1.065578226353972 absolute error 9.769962616701378e-15 relative error 9.16869580765627e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.066122939226966 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.066122939226957 Order of pole (six term test) -2.042810365310288e-14 TOP MAIN SOLVE Loop x[1] -1.808999999999966 y[1] (closed_form) -1.065812381536501 y[1] (numeric) -1.0658123815365108 absolute error 9.769962616701378e-15 relative error 9.16668147785707e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0669980648273176 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0669980648272963 Order of pole (six term test) -4.440892098500626e-14 TOP MAIN SOLVE Loop x[1] -1.8099999999999659 y[1] (closed_form) -1.0660463385169012 y[1] (numeric) -1.066046338516911 absolute error 9.769962616701378e-15 relative error 9.164669736864803e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0678733036624553 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0678733036624473 Order of pole (six term test) -1.7763568394002505e-14 TOP MAIN SOLVE Loop x[1] -1.8109999999999657 y[1] (closed_form) -1.066280097521131 y[1] (numeric) -1.066280097521141 absolute error 9.992007221626409e-15 relative error 9.370902865818887e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.068748655588657 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0687486555886316 Order of pole (six term test) -5.595524044110789e-14 TOP MAIN SOLVE Loop x[1] -1.8119999999999656 y[1] (closed_form) -1.0665136587748638 y[1] (numeric) -1.0665136587748736 absolute error 9.769962616701378e-15 relative error 9.160654002241683e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0696241204624273 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0696241204624157 Order of pole (six term test) -2.4868995751603507e-14 TOP MAIN SOLVE Loop x[1] -1.8129999999999655 y[1] (closed_form) -1.0667470225034765 y[1] (numeric) -1.0667470225034863 absolute error 9.769962616701378e-15 relative error 9.158649999109359e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0704996981404937 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0704996981404675 Order of pole (six term test) -5.595524044110789e-14 TOP MAIN SOLVE Loop x[1] -1.8139999999999654 y[1] (closed_form) -1.0669801889320516 y[1] (numeric) -1.0669801889320616 absolute error 9.992007221626409e-15 relative error 9.364754215003263e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0713753884798076 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0713753884797854 Order of pole (six term test) -5.062616992290714e-14 TOP MAIN SOLVE Loop x[1] -1.8149999999999653 y[1] (closed_form) -1.0672131582853772 y[1] (numeric) -1.0672131582853872 absolute error 9.992007221626409e-15 relative error 9.36270991793235e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.072251191337545 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0722511913375166 Order of pole (six term test) -6.128431095930864e-14 TOP MAIN SOLVE Loop x[1] -1.8159999999999652 y[1] (closed_form) -1.067445930787947 y[1] (numeric) -1.0674459307879567 absolute error 9.769962616701378e-15 relative error 9.152653389656535e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.073127106571103 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0731271065710737 Order of pole (six term test) -6.039613253960852e-14 TOP MAIN SOLVE Loop x[1] -1.816999999999965 y[1] (closed_form) -1.06767850666396 y[1] (numeric) -1.06767850666397 absolute error 9.992007221626409e-15 relative error 9.35862917466342e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.074003134038103 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.074003134038094 Order of pole (six term test) -1.509903313490213e-14 TOP MAIN SOLVE Loop x[1] -1.817999999999965 y[1] (closed_form) -1.067910886137323 y[1] (numeric) -1.067910886137333 absolute error 9.992007221626409e-15 relative error 9.356592718862436e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0748792735963875 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.074879273596395 Order of pole (six term test) 1.7763568394002505e-14 TOP MAIN SOLVE Loop x[1] -1.8189999999999649 y[1] (closed_form) -1.068143069431649 y[1] (numeric) -1.068143069431659 absolute error 9.992007221626409e-15 relative error 9.354558867234034e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0757555251040216 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0757555251040274 Order of pole (six term test) 5.329070518200751e-15 TOP MAIN SOLVE Loop x[1] -1.8199999999999648 y[1] (closed_form) -1.0683750567702577 y[1] (numeric) -1.068375056770268 absolute error 1.021405182655144e-14 relative error 9.56036156200515e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0766318884192914 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.076631888419271 Order of pole (six term test) -4.529709940470639e-14 TOP MAIN SOLVE Loop x[1] -1.8209999999999646 y[1] (closed_form) -1.0686068483761775 y[1] (numeric) -1.0686068483761877 absolute error 1.021405182655144e-14 relative error 9.558287823133834e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.077508363400704 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.077508363400682 Order of pole (six term test) -4.884981308350689e-14 TOP MAIN SOLVE Loop x[1] -1.8219999999999645 y[1] (closed_form) -1.0688384444721437 y[1] (numeric) -1.068838444472154 absolute error 1.021405182655144e-14 relative error 9.556216731702374e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0783849499069875 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.07838494990694 Order of pole (six term test) -1.0391687510491465e-13 TOP MAIN SOLVE Loop x[1] -1.8229999999999644 y[1] (closed_form) -1.0690698452806005 y[1] (numeric) -1.0690698452806109 absolute error 1.0436096431476471e-14 relative error 9.76184715858045e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.07926164779709 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0792616477970474 Order of pole (six term test) -9.325873406851315e-14 TOP MAIN SOLVE Loop x[1] -1.8239999999999643 y[1] (closed_form) -1.0693010510237007 y[1] (numeric) -1.069301051023711 absolute error 1.0436096431476471e-14 relative error 9.759736438569309e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.08013845693018 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0801384569301744 Order of pole (six term test) -1.4210854715202004e-14 TOP MAIN SOLVE Loop x[1] -1.8249999999999642 y[1] (closed_form) -1.069532061923306 y[1] (numeric) -1.0695320619233164 absolute error 1.0436096431476471e-14 relative error 9.757628408735656e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0810153771656443 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0810153771656217 Order of pole (six term test) -4.884981308350689e-14 TOP MAIN SOLVE Loop x[1] -1.825999999999964 y[1] (closed_form) -1.0697628782009874 y[1] (numeric) -1.069762878200998 absolute error 1.0658141036401503e-14 relative error 9.96308738467839e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0818924083630908 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0818924083630805 Order of pole (six term test) -2.398081733190338e-14 TOP MAIN SOLVE Loop x[1] -1.826999999999964 y[1] (closed_form) -1.069993500078026 y[1] (numeric) -1.0699935000780367 absolute error 1.0658141036401503e-14 relative error 9.960939982929138e-13% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.082769550382343 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.082769550382344 Order of pole (six term test) -1.7763568394002505e-15 TOP MAIN SOLVE Loop x[1] -1.8279999999999639 y[1] (closed_form) -1.0702239277754129 y[1] (numeric) -1.0702239277754237 absolute error 1.0880185641326534e-14 relative error 1.0166270215937227e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0836468030834467 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0836468030834285 Order of pole (six term test) -3.907985046680551e-14 TOP MAIN SOLVE Loop x[1] -1.8289999999999638 y[1] (closed_form) -1.0704541615138496 y[1] (numeric) -1.0704541615138605 absolute error 1.0880185641326534e-14 relative error 1.016408365019539e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0845241663266627 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0845241663266343 Order of pole (six term test) -5.950795411990839e-14 TOP MAIN SOLVE Loop x[1] -1.8299999999999637 y[1] (closed_form) -1.0706842015137485 y[1] (numeric) -1.0706842015137594 absolute error 1.0880185641326534e-14 relative error 1.0161899863604948e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0854016399724697 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.085401639972439 Order of pole (six term test) -6.572520305780927e-14 TOP MAIN SOLVE Loop x[1] -1.8309999999999635 y[1] (closed_form) -1.0709140479952333 y[1] (numeric) -1.0709140479952441 absolute error 1.0880185641326534e-14 relative error 1.015971885110145e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0862792238815655 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.086279223881547 Order of pole (six term test) -3.8191672047105385e-14 TOP MAIN SOLVE Loop x[1] -1.8319999999999634 y[1] (closed_form) -1.071143701178139 y[1] (numeric) -1.07114370117815 absolute error 1.0880185641326534e-14 relative error 1.0157540607632328e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.087156917914862 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0871569179148532 Order of pole (six term test) -2.042810365310288e-14 TOP MAIN SOLVE Loop x[1] -1.8329999999999633 y[1] (closed_form) -1.0713731612820132 y[1] (numeric) -1.071373161282024 absolute error 1.0880185641326534e-14 relative error 1.0155365128156863e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.08803472193349 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.088034721933478 Order of pole (six term test) -2.842170943040401e-14 TOP MAIN SOLVE Loop x[1] -1.8339999999999632 y[1] (closed_form) -1.0716024285261152 y[1] (numeric) -1.071602428526126 absolute error 1.0880185641326534e-14 relative error 1.0153192407646154e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.088912635798794 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0889126357987897 Order of pole (six term test) -1.3322676295501878e-14 TOP MAIN SOLVE Loop x[1] -1.834999999999963 y[1] (closed_form) -1.0718315031294172 y[1] (numeric) -1.071831503129428 absolute error 1.0880185641326534e-14 relative error 1.015102244108309e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0897906593723365 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.089790659372349 Order of pole (six term test) 2.7533531010703882e-14 TOP MAIN SOLVE Loop x[1] -1.835999999999963 y[1] (closed_form) -1.0720603853106043 y[1] (numeric) -1.0720603853106152 absolute error 1.0880185641326534e-14 relative error 1.01488552234623e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0906687925158933 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.090668792515844 Order of pole (six term test) -1.1368683772161603e-13 TOP MAIN SOLVE Loop x[1] -1.8369999999999629 y[1] (closed_form) -1.0722890752880754 y[1] (numeric) -1.0722890752880863 absolute error 1.0880185641326534e-14 relative error 1.0146690749790138e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.091547035091457 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.091547035091436 Order of pole (six term test) -4.618527782440651e-14 TOP MAIN SOLVE Loop x[1] -1.8379999999999628 y[1] (closed_form) -1.0725175732799426 y[1] (numeric) -1.0725175732799537 absolute error 1.1102230246251565e-14 relative error 1.0351560219474113e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0924253869612324 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0924253869611875 Order of pole (six term test) -1.021405182655144e-13 TOP MAIN SOLVE Loop x[1] -1.8389999999999627 y[1] (closed_form) -1.0727458795040328 y[1] (numeric) -1.0727458795040439 absolute error 1.1102230246251565e-14 relative error 1.0349357157525981e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0933038479876402 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.093303847987618 Order of pole (six term test) -4.796163466380676e-14 TOP MAIN SOLVE Loop x[1] -1.8399999999999626 y[1] (closed_form) -1.0729739941778869 y[1] (numeric) -1.072973994177898 absolute error 1.1102230246251565e-14 relative error 1.0347156880310132e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.094182418033315 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0941824180332915 Order of pole (six term test) -5.417888360170764e-14 TOP MAIN SOLVE Loop x[1] -1.8409999999999624 y[1] (closed_form) -1.0732019175187608 y[1] (numeric) -1.073201917518772 absolute error 1.1102230246251565e-14 relative error 1.0344959382778484e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0950610969611034 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0950610969610755 Order of pole (six term test) -6.394884621840902e-14 TOP MAIN SOLVE Loop x[1] -1.8419999999999623 y[1] (closed_form) -1.0734296497436255 y[1] (numeric) -1.0734296497436366 absolute error 1.1102230246251565e-14 relative error 1.0342764659894746e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0959398846340656 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.095939884634043 Order of pole (six term test) -5.417888360170764e-14 TOP MAIN SOLVE Loop x[1] -1.8429999999999622 y[1] (closed_form) -1.073657191069168 y[1] (numeric) -1.073657191069179 absolute error 1.1102230246251565e-14 relative error 1.0340572706634376e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0968187809154752 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0968187809154437 Order of pole (six term test) -7.194245199571014e-14 TOP MAIN SOLVE Loop x[1] -1.8439999999999621 y[1] (closed_form) -1.0738845417117906 y[1] (numeric) -1.0738845417118017 absolute error 1.1102230246251565e-14 relative error 1.0338383517984549e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.0976977856688177 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0976977856688004 Order of pole (six term test) -4.085620730620576e-14 TOP MAIN SOLVE Loop x[1] -1.844999999999962 y[1] (closed_form) -1.0741117018876123 y[1] (numeric) -1.0741117018876236 absolute error 1.1324274851176597e-14 relative error 1.0542921030723014e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.098576898757789 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0985768987577917 Order of pole (six term test) 6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.845999999999962 y[1] (closed_form) -1.074338671812469 y[1] (numeric) -1.0743386718124803 absolute error 1.1324274851176597e-14 relative error 1.0540693682814113e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.099456120046299 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0994561200462813 Order of pole (six term test) -3.8191672047105385e-14 TOP MAIN SOLVE Loop x[1] -1.8469999999999618 y[1] (closed_form) -1.074565451701913 y[1] (numeric) -1.0745654517019245 absolute error 1.1546319456101628e-14 relative error 1.0745105789335023e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1003354493984667 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.100335449398434 Order of pole (six term test) -7.37188088351104e-14 TOP MAIN SOLVE Loop x[1] -1.8479999999999617 y[1] (closed_form) -1.0747920417712147 y[1] (numeric) -1.0747920417712262 absolute error 1.1546319456101628e-14 relative error 1.0742840482028274e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.101214886678623 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1012148866785854 Order of pole (six term test) -8.43769498715119e-14 TOP MAIN SOLVE Loop x[1] -1.8489999999999616 y[1] (closed_form) -1.0750184422353615 y[1] (numeric) -1.075018442235373 absolute error 1.1546319456101628e-14 relative error 1.0740578024031434e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.102094431751309 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.102094431751276 Order of pole (six term test) -7.638334409421077e-14 TOP MAIN SOLVE Loop x[1] -1.8499999999999615 y[1] (closed_form) -1.0752446533090594 y[1] (numeric) -1.075244653309071 absolute error 1.1546319456101628e-14 relative error 1.073831841020357e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.102974084481275 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.10297408448128 Order of pole (six term test) 1.1546319456101628e-14 TOP MAIN SOLVE Loop x[1] -1.8509999999999613 y[1] (closed_form) -1.0754706752067327 y[1] (numeric) -1.0754706752067444 absolute error 1.176836406102666e-14 relative error 1.09425243591737e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1038538447334827 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1038538447334667 Order of pole (six term test) -4.263256414560601e-14 TOP MAIN SOLVE Loop x[1] -1.8519999999999612 y[1] (closed_form) -1.0756965081425247 y[1] (numeric) -1.0756965081425365 absolute error 1.176836406102666e-14 relative error 1.0940227073292132e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1047337123731014 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.104733712373078 Order of pole (six term test) -5.3290705182007514e-14 TOP MAIN SOLVE Loop x[1] -1.8529999999999611 y[1] (closed_form) -1.0759221523302978 y[1] (numeric) -1.0759221523303095 absolute error 1.176836406102666e-14 relative error 1.093793267062865e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.10561368726551 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.105613687265474 Order of pole (six term test) -8.43769498715119e-14 TOP MAIN SOLVE Loop x[1] -1.853999999999961 y[1] (closed_form) -1.0761476079836336 y[1] (numeric) -1.0761476079836454 absolute error 1.176836406102666e-14 relative error 1.093564114599197e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1064937692762955 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1064937692762666 Order of pole (six term test) -6.838973831690964e-14 TOP MAIN SOLVE Loop x[1] -1.854999999999961 y[1] (closed_form) -1.0763728753158341 y[1] (numeric) -1.076372875315846 absolute error 1.176836406102666e-14 relative error 1.0933352494202843e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1073739582712543 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1073739582712285 Order of pole (six term test) -6.128431095930864e-14 TOP MAIN SOLVE Loop x[1] -1.8559999999999608 y[1] (closed_form) -1.0765979545399216 y[1] (numeric) -1.0765979545399333 absolute error 1.176836406102666e-14 relative error 1.0931066710094027e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.10825425411639 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.108254254116332 Order of pole (six term test) -1.376676550535194e-13 TOP MAIN SOLVE Loop x[1] -1.8569999999999607 y[1] (closed_form) -1.0768228458686382 y[1] (numeric) -1.0768228458686502 absolute error 1.199040866595169e-14 relative error 1.1134987256218004e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.109134656677912 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1091346566779103 Order of pole (six term test) -4.440892098500626e-15 TOP MAIN SOLVE Loop x[1] -1.8579999999999606 y[1] (closed_form) -1.077047549514448 y[1] (numeric) -1.07704754951446 absolute error 1.199040866595169e-14 relative error 1.1132664171936679e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1100151658222397 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1100151658222206 Order of pole (six term test) -3.907985046680551e-14 TOP MAIN SOLVE Loop x[1] -1.8589999999999605 y[1] (closed_form) -1.077272065689536 y[1] (numeric) -1.077272065689548 absolute error 1.199040866595169e-14 relative error 1.1130343993721694e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.110895781415997 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.110895781415975 Order of pole (six term test) -5.1514348342607263e-14 TOP MAIN SOLVE Loop x[1] -1.8599999999999604 y[1] (closed_form) -1.0774963946058087 y[1] (numeric) -1.0774963946058207 absolute error 1.199040866595169e-14 relative error 1.1128026716356912e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1117765033260154 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.111776503326035 Order of pole (six term test) 4.618527782440651e-14 TOP MAIN SOLVE Loop x[1] -1.8609999999999602 y[1] (closed_form) -1.077720536474895 y[1] (numeric) -1.077720536474907 absolute error 1.199040866595169e-14 relative error 1.112571233463825e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.112657331419332 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1126573314192965 Order of pole (six term test) -8.348877145181177e-14 TOP MAIN SOLVE Loop x[1] -1.8619999999999601 y[1] (closed_form) -1.0779444915081458 y[1] (numeric) -1.077944491508158 absolute error 1.2212453270876722e-14 relative error 1.132938974788057e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.113538265563189 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.113538265563161 Order of pole (six term test) -6.483702463810914e-14 TOP MAIN SOLVE Loop x[1] -1.86299999999996 y[1] (closed_form) -1.0781682599166353 y[1] (numeric) -1.0781682599166476 absolute error 1.2212453270876722e-14 relative error 1.1327038389927187e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.114419305625034 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1144193056249936 Order of pole (six term test) -9.325873406851315e-14 TOP MAIN SOLVE Loop x[1] -1.86399999999996 y[1] (closed_form) -1.0783918419111604 y[1] (numeric) -1.0783918419111727 absolute error 1.2212453270876722e-14 relative error 1.1324689965415005e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.115300451472521 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1153004514725406 Order of pole (six term test) 4.3520742565306136e-14 TOP MAIN SOLVE Loop x[1] -1.8649999999999598 y[1] (closed_form) -1.0786152377022418 y[1] (numeric) -1.078615237702254 absolute error 1.2212453270876722e-14 relative error 1.1322344469092363e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1161817029735066 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.116181702973471 Order of pole (six term test) -8.43769498715119e-14 TOP MAIN SOLVE Loop x[1] -1.8659999999999597 y[1] (closed_form) -1.0788384475001236 y[1] (numeric) -1.0788384475001358 absolute error 1.2212453270876722e-14 relative error 1.1320001895719723e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1170630599960525 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.117063059996066 Order of pole (six term test) 3.4638958368304884e-14 TOP MAIN SOLVE Loop x[1] -1.8669999999999596 y[1] (closed_form) -1.0790614715147746 y[1] (numeric) -1.0790614715147868 absolute error 1.2212453270876722e-14 relative error 1.1317662240069618e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1179445224084246 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1179445224084397 Order of pole (six term test) 3.6415315207705135e-14 TOP MAIN SOLVE Loop x[1] -1.8679999999999595 y[1] (closed_form) -1.0792843099558875 y[1] (numeric) -1.0792843099559 absolute error 1.2434497875801753e-14 relative error 1.1521058687779845e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.118826090079091 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1188260900790996 Order of pole (six term test) 1.865174681370263e-14 TOP MAIN SOLVE Loop x[1] -1.8689999999999594 y[1] (closed_form) -1.0795069630328809 y[1] (numeric) -1.0795069630328933 absolute error 1.2434497875801753e-14 relative error 1.1518682418561676e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1197077628767245 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.119707762876698 Order of pole (six term test) -5.950795411990839e-14 TOP MAIN SOLVE Loop x[1] -1.8699999999999593 y[1] (closed_form) -1.0797294309548975 y[1] (numeric) -1.07972943095491 absolute error 1.2434497875801753e-14 relative error 1.151630910422147e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1205895406701996 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.120589540670233 Order of pole (six term test) 7.638334409421077e-14 TOP MAIN SOLVE Loop x[1] -1.8709999999999591 y[1] (closed_form) -1.0799517139308064 y[1] (numeric) -1.079951713930819 absolute error 1.2656542480726785e-14 relative error 1.1719544788404958e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.121471423328593 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.121471423328571 Order of pole (six term test) -5.062616992290714e-14 TOP MAIN SOLVE Loop x[1] -1.871999999999959 y[1] (closed_form) -1.0801738121692026 y[1] (numeric) -1.0801738121692153 absolute error 1.2656542480726785e-14 relative error 1.1717135092647677e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.122353410721185 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.122353410721161 Order of pole (six term test) -5.417888360170764e-14 TOP MAIN SOLVE Loop x[1] -1.872999999999959 y[1] (closed_form) -1.080395725878407 y[1] (numeric) -1.0803957258784198 absolute error 1.2878587085651816e-14 relative error 1.1920249939142425e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1232355027174554 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1232355027174377 Order of pole (six term test) -4.085620730620576e-14 TOP MAIN SOLVE Loop x[1] -1.8739999999999588 y[1] (closed_form) -1.0806174552664676 y[1] (numeric) -1.0806174552664805 absolute error 1.2878587085651816e-14 relative error 1.1917804050718493e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1241176991870874 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1241176991870376 Order of pole (six term test) -1.2079226507921703e-13 TOP MAIN SOLVE Loop x[1] -1.8749999999999587 y[1] (closed_form) -1.0808390005411592 y[1] (numeric) -1.080839000541172 absolute error 1.2878587085651816e-14 relative error 1.1915361195519136e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1249999999999636 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1249999999999023 Order of pole (six term test) -1.4477308241112041e-13 TOP MAIN SOLVE Loop x[1] -1.8759999999999586 y[1] (closed_form) -1.0810603619099841 y[1] (numeric) -1.081060361909997 absolute error 1.2878587085651816e-14 relative error 1.1912921368144814e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.125882405026168 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1258824050261556 Order of pole (six term test) -3.019806626980426e-14 TOP MAIN SOLVE Loop x[1] -1.8769999999999585 y[1] (closed_form) -1.0812815395801723 y[1] (numeric) -1.0812815395801851 absolute error 1.2878587085651816e-14 relative error 1.1910484563208364e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1267649141359852 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1267649141359337 Order of pole (six term test) -1.2079226507921703e-13 TOP MAIN SOLVE Loop x[1] -1.8779999999999584 y[1] (closed_form) -1.0815025337586817 y[1] (numeric) -1.0815025337586945 absolute error 1.2878587085651816e-14 relative error 1.1908050775334981e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1276475271998985 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.12764752719985 Order of pole (six term test) -1.163513729807164e-13 TOP MAIN SOLVE Loop x[1] -1.8789999999999583 y[1] (closed_form) -1.081723344652199 y[1] (numeric) -1.0817233446522119 absolute error 1.2878587085651816e-14 relative error 1.1905619999162173e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1285302440885925 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.128530244088584 Order of pole (six term test) -1.687538997430238e-14 TOP MAIN SOLVE Loop x[1] -1.8799999999999581 y[1] (closed_form) -1.0819439724671396 y[1] (numeric) -1.0819439724671525 absolute error 1.2878587085651816e-14 relative error 1.1903192229339731e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.129413064672949 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1294130646729057 Order of pole (six term test) -1.0658141036401503e-13 TOP MAIN SOLVE Loop x[1] -1.880999999999958 y[1] (closed_form) -1.0821644174096479 y[1] (numeric) -1.0821644174096607 absolute error 1.2878587085651816e-14 relative error 1.1900767460529698e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1302959888240514 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1302959888240087 Order of pole (six term test) -1.0036416142611415e-13 TOP MAIN SOLVE Loop x[1] -1.881999999999958 y[1] (closed_form) -1.0823846796855976 y[1] (numeric) -1.0823846796856107 absolute error 1.3100631690576847e-14 relative error 1.2103489578568512e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1311790164131783 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1311790164131765 Order of pole (six term test) -2.6645352591003757e-15 TOP MAIN SOLVE Loop x[1] -1.8829999999999578 y[1] (closed_form) -1.082604759500593 y[1] (numeric) -1.082604759500606 absolute error 1.3100631690576847e-14 relative error 1.210102909266738e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.132062147311809 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1320621473117343 Order of pole (six term test) -1.8030021919912542e-13 TOP MAIN SOLVE Loop x[1] -1.8839999999999577 y[1] (closed_form) -1.082824657059968 y[1] (numeric) -1.082824657059981 absolute error 1.3100631690576847e-14 relative error 1.2098571643304683e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1329453813916195 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1329453813916444 Order of pole (six term test) 6.039613253960852e-14 TOP MAIN SOLVE Loop x[1] -1.8849999999999576 y[1] (closed_form) -1.083044372568787 y[1] (numeric) -1.0830443725688002 absolute error 1.3100631690576847e-14 relative error 1.2096117225099926e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1338287185244833 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1338287185245015 Order of pole (six term test) 4.440892098500626e-14 TOP MAIN SOLVE Loop x[1] -1.8859999999999575 y[1] (closed_form) -1.0832639062318457 y[1] (numeric) -1.0832639062318588 absolute error 1.3100631690576847e-14 relative error 1.2093665832684895e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.134712158582473 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1347121585824533 Order of pole (six term test) -4.707345624410664e-14 TOP MAIN SOLVE Loop x[1] -1.8869999999999574 y[1] (closed_form) -1.0834832582536706 y[1] (numeric) -1.0834832582536837 absolute error 1.3100631690576847e-14 relative error 1.2091217460703634e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.135595701437854 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1355957014377993 Order of pole (six term test) -1.305622276959184e-13 TOP MAIN SOLVE Loop x[1] -1.8879999999999573 y[1] (closed_form) -1.0837024288385202 y[1] (numeric) -1.0837024288385335 absolute error 1.3322676295501878e-14 relative error 1.22936665462499e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1364793469630916 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.136479346963061 Order of pole (six term test) -7.283063041541027e-14 TOP MAIN SOLVE Loop x[1] -1.8889999999999572 y[1] (closed_form) -1.083921418190385 y[1] (numeric) -1.0839214181903982 absolute error 1.3322676295501878e-14 relative error 1.2291182803403024e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.137363095030846 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1373630950308375 Order of pole (six term test) -2.042810365310288e-14 TOP MAIN SOLVE Loop x[1] -1.889999999999957 y[1] (closed_form) -1.0841402265129874 y[1] (numeric) -1.0841402265130007 absolute error 1.3322676295501878e-14 relative error 1.2288702115917918e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1382469455139734 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1382469455139725 Order of pole (six term test) -8.881784197001252e-16 TOP MAIN SOLVE Loop x[1] -1.890999999999957 y[1] (closed_form) -1.0843588540097828 y[1] (numeric) -1.0843588540097961 absolute error 1.3322676295501878e-14 relative error 1.2286224478397337e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1391308982855253 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1391308982854578 Order of pole (six term test) -1.6076029396572267e-13 TOP MAIN SOLVE Loop x[1] -1.8919999999999568 y[1] (closed_form) -1.0845773008839594 y[1] (numeric) -1.084577300883973 absolute error 1.354472090042691e-14 relative error 1.2488479050213941e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1400149532187474 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1400149532187123 Order of pole (six term test) -7.993605777301127e-14 TOP MAIN SOLVE Loop x[1] -1.8929999999999567 y[1] (closed_form) -1.084795567338439 y[1] (numeric) -1.0847955673384526 absolute error 1.354472090042691e-14 relative error 1.2485966303917585e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1408991101870813 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.140899110187088 Order of pole (six term test) 1.509903313490213e-14 TOP MAIN SOLVE Loop x[1] -1.8939999999999566 y[1] (closed_form) -1.085013653575877 y[1] (numeric) -1.0850136535758905 absolute error 1.354472090042691e-14 relative error 1.2483456642031743e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1417833690641626 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1417833690641146 Order of pole (six term test) -1.1723955140041653e-13 TOP MAIN SOLVE Loop x[1] -1.8949999999999565 y[1] (closed_form) -1.0852315597986628 y[1] (numeric) -1.0852315597986761 absolute error 1.3322676295501878e-14 relative error 1.2276344320444904e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1426677297238212 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.142667729723773 Order of pole (six term test) -1.1723955140041653e-13 TOP MAIN SOLVE Loop x[1] -1.8959999999999564 y[1] (closed_form) -1.0854492862089198 y[1] (numeric) -1.0854492862089333 absolute error 1.354472090042691e-14 relative error 1.247844654975425e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1435521920400804 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.143552192040075 Order of pole (six term test) -1.0658141036401503e-14 TOP MAIN SOLVE Loop x[1] -1.8969999999999563 y[1] (closed_form) -1.085666833008507 y[1] (numeric) -1.0856668330085206 absolute error 1.354472090042691e-14 relative error 1.2475946108524783e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.144436755887157 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.14443675588713 Order of pole (six term test) -6.394884621840902e-14 TOP MAIN SOLVE Loop x[1] -1.8979999999999562 y[1] (closed_form) -1.0858842003990181 y[1] (numeric) -1.0858842003990317 absolute error 1.354472090042691e-14 relative error 1.2473448730030125e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1453214211394602 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1453214211394043 Order of pole (six term test) -1.341149413747189e-13 TOP MAIN SOLVE Loop x[1] -1.898999999999956 y[1] (closed_form) -1.086101388581782 y[1] (numeric) -1.0861013885817956 absolute error 1.354472090042691e-14 relative error 1.2470954408882067e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.146206187671593 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1462061876715306 Order of pole (six term test) -1.5010215292932116e-13 TOP MAIN SOLVE Loop x[1] -1.899999999999956 y[1] (closed_form) -1.0863183977578639 y[1] (numeric) -1.0863183977578774 absolute error 1.354472090042691e-14 relative error 1.2468463139704621e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.14709105535835 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.147091055358352 Order of pole (six term test) 5.329070518200751e-15 TOP MAIN SOLVE Loop x[1] -1.9009999999999558 y[1] (closed_form) -1.0865352281280645 y[1] (numeric) -1.086535228128078 absolute error 1.354472090042691e-14 relative error 1.246597491713399e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1479760240747177 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1479760240747 Order of pole (six term test) -4.1744385725905886e-14 TOP MAIN SOLVE Loop x[1] -1.9019999999999557 y[1] (closed_form) -1.0867518798929214 y[1] (numeric) -1.086751879892935 absolute error 1.354472090042691e-14 relative error 1.2463489735818522e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1488610936958747 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1488610936958557 Order of pole (six term test) -4.618527782440651e-14 TOP MAIN SOLVE Loop x[1] -1.9029999999999556 y[1] (closed_form) -1.0869683532527092 y[1] (numeric) -1.0869683532527228 absolute error 1.354472090042691e-14 relative error 1.2461007590418686e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.149746264097191 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1497462640971485 Order of pole (six term test) -1.0036416142611415e-13 TOP MAIN SOLVE Loop x[1] -1.9039999999999555 y[1] (closed_form) -1.0871846484074392 y[1] (numeric) -1.0871846484074528 absolute error 1.354472090042691e-14 relative error 1.245852847560704e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.150631535154228 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1506315351542207 Order of pole (six term test) -1.687538997430238e-14 TOP MAIN SOLVE Loop x[1] -1.9049999999999554 y[1] (closed_form) -1.0874007655568607 y[1] (numeric) -1.0874007655568743 absolute error 1.354472090042691e-14 relative error 1.2456052386068188e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1515169067427355 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1515169067427586 Order of pole (six term test) 5.773159728050814e-14 TOP MAIN SOLVE Loop x[1] -1.9059999999999553 y[1] (closed_form) -1.0876167049004606 y[1] (numeric) -1.0876167049004741 absolute error 1.354472090042691e-14 relative error 1.2453579316498759e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1524023787386573 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1524023787386333 Order of pole (six term test) -5.950795411990839e-14 TOP MAIN SOLVE Loop x[1] -1.9069999999999552 y[1] (closed_form) -1.087832466637464 y[1] (numeric) -1.0878324666374775 absolute error 1.354472090042691e-14 relative error 1.2451109261607362e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1532879510181235 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.153287951018093 Order of pole (six term test) -7.549516567451064e-14 TOP MAIN SOLVE Loop x[1] -1.907999999999955 y[1] (closed_form) -1.0880480509668344 y[1] (numeric) -1.088048050966848 absolute error 1.354472090042691e-14 relative error 1.2448642216114569e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.154173623457457 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1541736234574227 Order of pole (six term test) -8.171241461241152e-14 TOP MAIN SOLVE Loop x[1] -1.908999999999955 y[1] (closed_form) -1.0882634580872748 y[1] (numeric) -1.0882634580872883 absolute error 1.354472090042691e-14 relative error 1.2446178174752858e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.155059395933167 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1550593959331756 Order of pole (six term test) 1.9539925233402755e-14 TOP MAIN SOLVE Loop x[1] -1.9099999999999548 y[1] (closed_form) -1.088478688197227 y[1] (numeric) -1.0884786881972406 absolute error 1.354472090042691e-14 relative error 1.24437171322666e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1559452683219553 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.155945268321968 Order of pole (six term test) 3.197442310920451e-14 TOP MAIN SOLVE Loop x[1] -1.9109999999999547 y[1] (closed_form) -1.0886937414948723 y[1] (numeric) -1.088693741494886 absolute error 1.3766765505351941e-14 relative error 1.2645214150353213e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.156831240500709 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.156831240500655 Order of pole (six term test) -1.3145040611561853e-13 TOP MAIN SOLVE Loop x[1] -1.9119999999999546 y[1] (closed_form) -1.0889086181781324 y[1] (numeric) -1.088908618178146 absolute error 1.354472090042691e-14 relative error 1.2438804022957192e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1577173123465054 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.157717312346539 Order of pole (six term test) 8.43769498715119e-14 TOP MAIN SOLVE Loop x[1] -1.9129999999999545 y[1] (closed_form) -1.0891233184446687 y[1] (numeric) -1.0891233184446822 absolute error 1.354472090042691e-14 relative error 1.2436351945681925e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1586034837366093 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.158603483736561 Order of pole (six term test) -1.1723955140041653e-13 TOP MAIN SOLVE Loop x[1] -1.9139999999999544 y[1] (closed_form) -1.0893378424918836 y[1] (numeric) -1.0893378424918971 absolute error 1.354472090042691e-14 relative error 1.2433902846377826e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1594897545484733 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.159489754548484 Order of pole (six term test) 2.5757174171303632e-14 TOP MAIN SOLVE Loop x[1] -1.9149999999999543 y[1] (closed_form) -1.0895521905169205 y[1] (numeric) -1.089552190516934 absolute error 1.354472090042691e-14 relative error 1.243145671984821e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.160376124659737 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1603761246596793 Order of pole (six term test) -1.4033219031261979e-13 TOP MAIN SOLVE Loop x[1] -1.9159999999999542 y[1] (closed_form) -1.089766362716664 y[1] (numeric) -1.0897663627166776 absolute error 1.354472090042691e-14 relative error 1.2429013560908098e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.161262593948228 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1612625939482224 Order of pole (six term test) -1.3322676295501878e-14 TOP MAIN SOLVE Loop x[1] -1.916999999999954 y[1] (closed_form) -1.0899803592877402 y[1] (numeric) -1.0899803592877537 absolute error 1.354472090042691e-14 relative error 1.242657336438416e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.16214916229196 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1621491622919184 Order of pole (six term test) -1.0036416142611415e-13 TOP MAIN SOLVE Loop x[1] -1.917999999999954 y[1] (closed_form) -1.0901941804265174 y[1] (numeric) -1.090194180426531 absolute error 1.354472090042691e-14 relative error 1.24241361251147e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.163035829569132 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1630358295691448 Order of pole (six term test) 3.108624468950438e-14 TOP MAIN SOLVE Loop x[1] -1.9189999999999539 y[1] (closed_form) -1.0904078263291062 y[1] (numeric) -1.0904078263291197 absolute error 1.354472090042691e-14 relative error 1.2421701837949622e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.163922595658131 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1639225956581103 Order of pole (six term test) -5.062616992290714e-14 TOP MAIN SOLVE Loop x[1] -1.9199999999999537 y[1] (closed_form) -1.0906212971913598 y[1] (numeric) -1.0906212971913734 absolute error 1.354472090042691e-14 relative error 1.2419270497750386e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.164809460437528 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1648094604375188 Order of pole (six term test) -2.398081733190338e-14 TOP MAIN SOLVE Loop x[1] -1.9209999999999536 y[1] (closed_form) -1.0908345932088745 y[1] (numeric) -1.090834593208888 absolute error 1.354472090042691e-14 relative error 1.2416842099389992e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1656964237860814 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1656964237860694 Order of pole (six term test) -3.019806626980426e-14 TOP MAIN SOLVE Loop x[1] -1.9219999999999535 y[1] (closed_form) -1.0910477145769901 y[1] (numeric) -1.0910477145770037 absolute error 1.354472090042691e-14 relative error 1.2414416637752944e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.166583485582732 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1665834855827018 Order of pole (six term test) -7.72715225139109e-14 TOP MAIN SOLVE Loop x[1] -1.9229999999999534 y[1] (closed_form) -1.0912606614907898 y[1] (numeric) -1.0912606614908034 absolute error 1.354472090042691e-14 relative error 1.2411994107735208e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.167470645706608 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1674706457066093 Order of pole (six term test) 2.6645352591003757e-15 TOP MAIN SOLVE Loop x[1] -1.9239999999999533 y[1] (closed_form) -1.091473434145101 y[1] (numeric) -1.0914734341451144 absolute error 1.354472090042691e-14 relative error 1.2409574504244205e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1683579040370202 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.168357904037031 Order of pole (six term test) 2.4868995751603507e-14 TOP MAIN SOLVE Loop x[1] -1.9249999999999532 y[1] (closed_form) -1.091686032734495 y[1] (numeric) -1.0916860327345088 absolute error 1.3766765505351941e-14 relative error 1.261055385207086e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1692452604534647 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1692452604534305 Order of pole (six term test) -8.260059303211165e-14 TOP MAIN SOLVE Loop x[1] -1.925999999999953 y[1] (closed_form) -1.091898457453289 y[1] (numeric) -1.0918984574533028 absolute error 1.3766765505351941e-14 relative error 1.2608100516472134e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.17013271483562 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1701327148355802 Order of pole (six term test) -9.592326932761353e-14 TOP MAIN SOLVE Loop x[1] -1.926999999999953 y[1] (closed_form) -1.0921107084955441 y[1] (numeric) -1.092110708495558 absolute error 1.3766765505351941e-14 relative error 1.2605650139917212e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1710202670633496 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.17102026706334 Order of pole (six term test) -2.398081733190338e-14 TOP MAIN SOLVE Loop x[1] -1.9279999999999529 y[1] (closed_form) -1.0923227860550675 y[1] (numeric) -1.0923227860550813 absolute error 1.3766765505351941e-14 relative error 1.2603202717276204e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1719079170166995 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.171907917016683 Order of pole (six term test) -3.9968028886505635e-14 TOP MAIN SOLVE Loop x[1] -1.9289999999999528 y[1] (closed_form) -1.0925346903254116 y[1] (numeric) -1.0925346903254254 absolute error 1.3766765505351941e-14 relative error 1.2600758243430702e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1727956645758977 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.17279566457591 Order of pole (six term test) 2.930988785010413e-14 TOP MAIN SOLVE Loop x[1] -1.9299999999999526 y[1] (closed_form) -1.0927464214998752 y[1] (numeric) -1.092746421499889 absolute error 1.3766765505351941e-14 relative error 1.2598316713273733e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1736835096213563 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.173683509621332 Order of pole (six term test) -6.039613253960852e-14 TOP MAIN SOLVE Loop x[1] -1.9309999999999525 y[1] (closed_form) -1.0929579797715037 y[1] (numeric) -1.0929579797715174 absolute error 1.3766765505351941e-14 relative error 1.2595878121709724e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1745714520336685 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.174571452033663 Order of pole (six term test) -1.509903313490213e-14 TOP MAIN SOLVE Loop x[1] -1.9319999999999524 y[1] (closed_form) -1.0931693653330885 y[1] (numeric) -1.0931693653331023 absolute error 1.3766765505351941e-14 relative error 1.2593442463654488e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1754594916936094 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1754594916935672 Order of pole (six term test) -1.021405182655144e-13 TOP MAIN SOLVE Loop x[1] -1.9329999999999523 y[1] (closed_form) -1.093380578377169 y[1] (numeric) -1.0933805783771828 absolute error 1.3766765505351941e-14 relative error 1.259100973403517e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1763476284821355 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.176347628482085 Order of pole (six term test) -1.2434497875801753e-13 TOP MAIN SOLVE Loop x[1] -1.9339999999999522 y[1] (closed_form) -1.0935916190960315 y[1] (numeric) -1.0935916190960453 absolute error 1.3766765505351941e-14 relative error 1.2588579927790247e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.177235862280386 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1772358622803925 Order of pole (six term test) 1.7763568394002505e-14 TOP MAIN SOLVE Loop x[1] -1.934999999999952 y[1] (closed_form) -1.0938024876817103 y[1] (numeric) -1.093802487681724 absolute error 1.3766765505351941e-14 relative error 1.2586153039869466e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.178124192969679 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1781241929696944 Order of pole (six term test) 3.907985046680551e-14 TOP MAIN SOLVE Loop x[1] -1.935999999999952 y[1] (closed_form) -1.0940131843259873 y[1] (numeric) -1.0940131843260013 absolute error 1.3988810110276972e-14 relative error 1.278669243725373e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1790126204315143 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.17901262043148 Order of pole (six term test) -8.348877145181177e-14 TOP MAIN SOLVE Loop x[1] -1.9369999999999519 y[1] (closed_form) -1.0942237092203935 y[1] (numeric) -1.0942237092204075 absolute error 1.3988810110276972e-14 relative error 1.278423232141775e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.179901144547572 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.179901144547551 Order of pole (six term test) -5.1514348342607263e-14 TOP MAIN SOLVE Loop x[1] -1.9379999999999518 y[1] (closed_form) -1.0944340625562086 y[1] (numeric) -1.0944340625562223 absolute error 1.3766765505351941e-14 relative error 1.2578889835718084e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1807897651997115 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1807897651997146 Order of pole (six term test) 6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.9389999999999517 y[1] (closed_form) -1.0946442445244606 y[1] (numeric) -1.0946442445244744 absolute error 1.3766765505351941e-14 relative error 1.2576474570815974e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.181678482269973 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.181678482269911 Order of pole (six term test) -1.5365486660812167e-13 TOP MAIN SOLVE Loop x[1] -1.9399999999999515 y[1] (closed_form) -1.094854255315928 y[1] (numeric) -1.0948542553159417 absolute error 1.3766765505351941e-14 relative error 1.257406219915494e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.182567295640575 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.18256729564055 Order of pole (six term test) -6.039613253960852e-14 TOP MAIN SOLVE Loop x[1] -1.9409999999999514 y[1] (closed_form) -1.0950640951211383 y[1] (numeric) -1.095064095121152 absolute error 1.3766765505351941e-14 relative error 1.2571652715751795e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.183456205193915 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.183456205193932 Order of pole (six term test) 4.263256414560601e-14 TOP MAIN SOLVE Loop x[1] -1.9419999999999513 y[1] (closed_form) -1.0952737641303696 y[1] (numeric) -1.0952737641303836 absolute error 1.3988810110276972e-14 relative error 1.2771975891693043e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.18434521081257 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1843452108125616 Order of pole (six term test) -1.9539925233402755e-14 TOP MAIN SOLVE Loop x[1] -1.9429999999999512 y[1] (closed_form) -1.0954832625336504 y[1] (numeric) -1.0954832625336643 absolute error 1.3988810110276972e-14 relative error 1.276953340019403e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.185234312379295 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.185234312379281 Order of pole (six term test) -3.375077994860476e-14 TOP MAIN SOLVE Loop x[1] -1.943999999999951 y[1] (closed_form) -1.0956925905207595 y[1] (numeric) -1.0956925905207735 absolute error 1.3988810110276972e-14 relative error 1.2767093828414397e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.186123509777023 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.186123509776975 Order of pole (six term test) -1.199040866595169e-13 TOP MAIN SOLVE Loop x[1] -1.944999999999951 y[1] (closed_form) -1.0959017482812272 y[1] (numeric) -1.0959017482812414 absolute error 1.4210854715202004e-14 relative error 1.2967270777229614e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.187012802888865 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.187012802888834 Order of pole (six term test) -7.638334409421077e-14 TOP MAIN SOLVE Loop x[1] -1.9459999999999509 y[1] (closed_form) -1.0961107360043356 y[1] (numeric) -1.0961107360043496 absolute error 1.3988810110276972e-14 relative error 1.276222342394942e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.187902191598109 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.187902191598099 Order of pole (six term test) -2.4868995751603507e-14 TOP MAIN SOLVE Loop x[1] -1.9469999999999508 y[1] (closed_form) -1.0963195538791177 y[1] (numeric) -1.0963195538791317 absolute error 1.3988810110276972e-14 relative error 1.2759792581259939e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.188791675788221 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.188791675788239 Order of pole (six term test) 4.707345624410664e-14 TOP MAIN SOLVE Loop x[1] -1.9479999999999507 y[1] (closed_form) -1.0965282020943594 y[1] (numeric) -1.0965282020943734 absolute error 1.3988810110276972e-14 relative error 1.2757364638281501e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1896812553428426 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1896812553427782 Order of pole (six term test) -1.5898393712632242e-13 TOP MAIN SOLVE Loop x[1] -1.9489999999999505 y[1] (closed_form) -1.0967366808385985 y[1] (numeric) -1.0967366808386125 absolute error 1.3988810110276972e-14 relative error 1.2754939590039697e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.190570930145794 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.190570930145714 Order of pole (six term test) -1.971756091734278e-13 TOP MAIN SOLVE Loop x[1] -1.9499999999999504 y[1] (closed_form) -1.096944990300126 y[1] (numeric) -1.09694499030014 absolute error 1.3988810110276972e-14 relative error 1.275251743157112e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1914607000810684 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.191460700081024 Order of pole (six term test) -1.0835776720341528e-13 TOP MAIN SOLVE Loop x[1] -1.9509999999999503 y[1] (closed_form) -1.0971531306669857 y[1] (numeric) -1.0971531306669997 absolute error 1.3988810110276972e-14 relative error 1.275009815792335e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1923505650328385 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1923505650327924 Order of pole (six term test) -1.1457501614131615e-13 TOP MAIN SOLVE Loop x[1] -1.9519999999999502 y[1] (closed_form) -1.097361102126975 y[1] (numeric) -1.0973611021269891 absolute error 1.4210854715202004e-14 relative error 1.2950025919141497e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1932405248854505 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1932405248854576 Order of pole (six term test) 1.5987211554602254e-14 TOP MAIN SOLVE Loop x[1] -1.95299999999995 y[1] (closed_form) -1.0975689048676451 y[1] (numeric) -1.0975689048676591 absolute error 1.3988810110276972e-14 relative error 1.274526824533524e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.194130579523426 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.194130579523405 Order of pole (six term test) -5.3290705182007514e-14 TOP MAIN SOLVE Loop x[1] -1.95399999999995 y[1] (closed_form) -1.097776539076301 y[1] (numeric) -1.0977765390763152 absolute error 1.4210854715202004e-14 relative error 1.2945125177442216e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1950207288314623 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1950207288314636 Order of pole (six term test) 3.552713678800501e-15 TOP MAIN SOLVE Loop x[1] -1.9549999999999499 y[1] (closed_form) -1.0979840049400027 y[1] (numeric) -1.097984004940017 absolute error 1.4210854715202004e-14 relative error 1.2942679174983545e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1959109726944317 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.19591097269439 Order of pole (six term test) -1.056932319443149e-13 TOP MAIN SOLVE Loop x[1] -1.9559999999999498 y[1] (closed_form) -1.0981913026455645 y[1] (numeric) -1.0981913026455787 absolute error 1.4210854715202004e-14 relative error 1.2940236078147564e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.196801310997379 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.196801310997341 Order of pole (six term test) -9.592326932761353e-14 TOP MAIN SOLVE Loop x[1] -1.9569999999999497 y[1] (closed_form) -1.098398432379556 y[1] (numeric) -1.0983984323795701 absolute error 1.4210854715202004e-14 relative error 1.2937795881969527e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.1976917436255254 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.197691743625544 Order of pole (six term test) 4.796163466380676e-14 TOP MAIN SOLVE Loop x[1] -1.9579999999999496 y[1] (closed_form) -1.0986053943283018 y[1] (numeric) -1.098605394328316 absolute error 1.4210854715202004e-14 relative error 1.2935358581495643e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.198582270464265 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1985822704642297 Order of pole (six term test) -8.615330671091215e-14 TOP MAIN SOLVE Loop x[1] -1.9589999999999494 y[1] (closed_form) -1.098812188677883 y[1] (numeric) -1.0988121886778972 absolute error 1.4210854715202004e-14 relative error 1.2932924171783027e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.199472891399165 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1994728913991146 Order of pole (six term test) -1.2612133559741778e-13 TOP MAIN SOLVE Loop x[1] -1.9599999999999493 y[1] (closed_form) -1.099018815614136 y[1] (numeric) -1.0990188156141505 absolute error 1.4432899320127035e-14 relative error 1.3132531595523115e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2003636063159657 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.200363606315955 Order of pole (six term test) -2.398081733190338e-14 TOP MAIN SOLVE Loop x[1] -1.9609999999999492 y[1] (closed_form) -1.0992252753226546 y[1] (numeric) -1.099225275322669 absolute error 1.4432899320127035e-14 relative error 1.3130065005001416e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.201254415100581 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.201254415100551 Order of pole (six term test) -7.549516567451064e-14 TOP MAIN SOLVE Loop x[1] -1.9619999999999491 y[1] (closed_form) -1.099431567988788 y[1] (numeric) -1.0994315679888025 absolute error 1.4432899320127035e-14 relative error 1.3127601335415012e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.202145317639097 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2021453176390797 Order of pole (six term test) -4.263256414560601e-14 TOP MAIN SOLVE Loop x[1] -1.962999999999949 y[1] (closed_form) -1.0996376937976438 y[1] (numeric) -1.0996376937976582 absolute error 1.4432899320127035e-14 relative error 1.3125140581787832e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2030363138177727 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2030363138177482 Order of pole (six term test) -6.306066779870889e-14 TOP MAIN SOLVE Loop x[1] -1.963999999999949 y[1] (closed_form) -1.099843652934086 y[1] (numeric) -1.0998436529341005 absolute error 1.4432899320127035e-14 relative error 1.3122682739154746e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.203927403523038 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.203927403522999 Order of pole (six term test) -9.50350909079134e-14 TOP MAIN SOLVE Loop x[1] -1.9649999999999488 y[1] (closed_form) -1.1000494455827368 y[1] (numeric) -1.1000494455827514 absolute error 1.4654943925052066e-14 relative error 1.332207746106249e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.204818586641495 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.204818586641469 Order of pole (six term test) -6.572520305780927e-14 TOP MAIN SOLVE Loop x[1] -1.9659999999999487 y[1] (closed_form) -1.1002550719279764 y[1] (numeric) -1.100255071927991 absolute error 1.4654943925052066e-14 relative error 1.33195877019428e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.205709863059917 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2057098630598917 Order of pole (six term test) -6.394884621840902e-14 TOP MAIN SOLVE Loop x[1] -1.9669999999999486 y[1] (closed_form) -1.1004605321539433 y[1] (numeric) -1.100460532153958 absolute error 1.4654943925052066e-14 relative error 1.3317100883543534e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2066012326652493 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2066012326652045 Order of pole (six term test) -1.127986593019159e-13 TOP MAIN SOLVE Loop x[1] -1.9679999999999485 y[1] (closed_form) -1.1006658264445348 y[1] (numeric) -1.1006658264445495 absolute error 1.4654943925052066e-14 relative error 1.3314617000867306e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2074926953446066 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.207492695344585 Order of pole (six term test) -5.417888360170764e-14 TOP MAIN SOLVE Loop x[1] -1.9689999999999483 y[1] (closed_form) -1.100870954983407 y[1] (numeric) -1.1008709549834217 absolute error 1.4654943925052066e-14 relative error 1.331213604892769e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.208384250985276 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.208384250985273 Order of pole (six term test) -6.217248937900877e-15 TOP MAIN SOLVE Loop x[1] -1.9699999999999482 y[1] (closed_form) -1.1010759179539757 y[1] (numeric) -1.1010759179539904 absolute error 1.4654943925052066e-14 relative error 1.3309658022749193e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2092758994747115 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.209275899474671 Order of pole (six term test) -1.0302869668521453e-13 TOP MAIN SOLVE Loop x[1] -1.9709999999999481 y[1] (closed_form) -1.1012807155394162 y[1] (numeric) -1.1012807155394309 absolute error 1.4654943925052066e-14 relative error 1.330718291736722e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.210167640700541 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2101676407005115 Order of pole (six term test) -7.37188088351104e-14 TOP MAIN SOLVE Loop x[1] -1.971999999999948 y[1] (closed_form) -1.1014853479226636 y[1] (numeric) -1.1014853479226783 absolute error 1.4654943925052066e-14 relative error 1.3304710727828043e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2110594745505594 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.211059474550478 Order of pole (six term test) -2.0516921495072893e-13 TOP MAIN SOLVE Loop x[1] -1.972999999999948 y[1] (closed_form) -1.1016898152864134 y[1] (numeric) -1.1016898152864283 absolute error 1.4876988529977098e-14 relative error 1.3503790562055281e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2119514009127315 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2119514009127275 Order of pole (six term test) -8.881784197001252e-15 TOP MAIN SOLVE Loop x[1] -1.9739999999999478 y[1] (closed_form) -1.1018941178131223 y[1] (numeric) -1.1018941178131372 absolute error 1.4876988529977098e-14 relative error 1.3501286820100975e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.212843419675191 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2128434196751554 Order of pole (six term test) -8.970602038971265e-14 TOP MAIN SOLVE Loop x[1] -1.9749999999999477 y[1] (closed_form) -1.1020982556850072 y[1] (numeric) -1.102098255685022 absolute error 1.4876988529977098e-14 relative error 1.3498786023148483e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2137355307262414 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2137355307261974 Order of pole (six term test) -1.1191048088221578e-13 TOP MAIN SOLVE Loop x[1] -1.9759999999999476 y[1] (closed_form) -1.102302229084047 y[1] (numeric) -1.1023022290840616 absolute error 1.4654943925052066e-14 relative error 1.3294851029403728e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.214627733954353 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.214627733954352 Order of pole (six term test) -8.881784197001252e-16 TOP MAIN SOLVE Loop x[1] -1.9769999999999475 y[1] (closed_form) -1.1025060381919813 y[1] (numeric) -1.102506038191996 absolute error 1.4654943925052066e-14 relative error 1.3292393345151163e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2155200292481654 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.215520029248116 Order of pole (six term test) -1.234568003383174e-13 TOP MAIN SOLVE Loop x[1] -1.9779999999999474 y[1] (closed_form) -1.1027096831903127 y[1] (numeric) -1.1027096831903274 absolute error 1.4654943925052066e-14 relative error 1.3289938547245733e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.216412416496486 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2164124164965022 Order of pole (six term test) 3.9968028886505635e-14 TOP MAIN SOLVE Loop x[1] -1.9789999999999472 y[1] (closed_form) -1.1029131642603054 y[1] (numeric) -1.10291316426032 absolute error 1.4654943925052066e-14 relative error 1.3287486630809007e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2173048955882884 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2173048955883012 Order of pole (six term test) 3.197442310920451e-14 TOP MAIN SOLVE Loop x[1] -1.9799999999999471 y[1] (closed_form) -1.1031164815829864 y[1] (numeric) -1.103116481583001 absolute error 1.4654943925052066e-14 relative error 1.3285037590973196e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2181974664127155 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.218197466412699 Order of pole (six term test) -4.1744385725905886e-14 TOP MAIN SOLVE Loop x[1] -1.980999999999947 y[1] (closed_form) -1.1033196353391455 y[1] (numeric) -1.10331963533916 absolute error 1.4654943925052066e-14 relative error 1.3282591422881127e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.219090128859076 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2190901288589755 Order of pole (six term test) -2.540190280342358e-13 TOP MAIN SOLVE Loop x[1] -1.981999999999947 y[1] (closed_form) -1.103522625709336 y[1] (numeric) -1.1035226257093507 absolute error 1.4654943925052066e-14 relative error 1.3280148121686203e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.219982882816845 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.219982882816781 Order of pole (six term test) -1.6076029396572267e-13 TOP MAIN SOLVE Loop x[1] -1.9829999999999468 y[1] (closed_form) -1.1037254528738745 y[1] (numeric) -1.1037254528738891 absolute error 1.4654943925052066e-14 relative error 1.3277707682552397e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.220875728175665 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2208757281756495 Order of pole (six term test) -3.730349362740526e-14 TOP MAIN SOLVE Loop x[1] -1.9839999999999467 y[1] (closed_form) -1.1039281170128414 y[1] (numeric) -1.103928117012856 absolute error 1.4654943925052066e-14 relative error 1.3275270100654202e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.221768664825343 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.22176866482527 Order of pole (six term test) -1.8474111129762605e-13 TOP MAIN SOLVE Loop x[1] -1.9849999999999466 y[1] (closed_form) -1.1041306183060817 y[1] (numeric) -1.1041306183060964 absolute error 1.4654943925052066e-14 relative error 1.3272835371176614e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2226616926558544 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.222661692655789 Order of pole (six term test) -1.6608936448392342e-13 TOP MAIN SOLVE Loop x[1] -1.9859999999999465 y[1] (closed_form) -1.1043329569332045 y[1] (numeric) -1.1043329569332192 absolute error 1.4654943925052066e-14 relative error 1.3270403489315106e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.223554811557338 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.223554811557348 Order of pole (six term test) 2.4868995751603507e-14 TOP MAIN SOLVE Loop x[1] -1.9869999999999464 y[1] (closed_form) -1.1045351330735842 y[1] (numeric) -1.1045351330735989 absolute error 1.4654943925052066e-14 relative error 1.3267974450275592e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2244480214200975 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.224448021420052 Order of pole (six term test) -1.1723955140041653e-13 TOP MAIN SOLVE Loop x[1] -1.9879999999999463 y[1] (closed_form) -1.1047371469063596 y[1] (numeric) -1.1047371469063745 absolute error 1.4876988529977098e-14 relative error 1.3466541404566447e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2253413221346037 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2253413221345935 Order of pole (six term test) -2.7533531010703882e-14 TOP MAIN SOLVE Loop x[1] -1.9889999999999461 y[1] (closed_form) -1.1049389986104359 y[1] (numeric) -1.1049389986104508 absolute error 1.4876988529977098e-14 relative error 1.3464081319137347e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2262347135914906 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2262347135915 Order of pole (six term test) 2.3092638912203256e-14 TOP MAIN SOLVE Loop x[1] -1.989999999999946 y[1] (closed_form) -1.1051406883644834 y[1] (numeric) -1.1051406883644983 absolute error 1.4876988529977098e-14 relative error 1.3461624105066484e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2271281956815567 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2271281956815323 Order of pole (six term test) -6.128431095930864e-14 TOP MAIN SOLVE Loop x[1] -1.990999999999946 y[1] (closed_form) -1.1053422163469389 y[1] (numeric) -1.1053422163469537 absolute error 1.4876988529977098e-14 relative error 1.345916975752927e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2280217682957644 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2280217682957355 Order of pole (six term test) -7.37188088351104e-14 TOP MAIN SOLVE Loop x[1] -1.9919999999999458 y[1] (closed_form) -1.1055435827360052 y[1] (numeric) -1.1055435827360203 absolute error 1.509903313490213e-14 relative error 1.3657564813080422e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2289154313252406 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.228915431325209 Order of pole (six term test) -8.08242361927114e-14 TOP MAIN SOLVE Loop x[1] -1.9929999999999457 y[1] (closed_form) -1.1057447877096525 y[1] (numeric) -1.1057447877096676 absolute error 1.509903313490213e-14 relative error 1.365507963747856e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.229809184661276 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2298091846612405 Order of pole (six term test) -8.970602038971265e-14 TOP MAIN SOLVE Loop x[1] -1.9939999999999456 y[1] (closed_form) -1.1059458314456176 y[1] (numeric) -1.1059458314456325 absolute error 1.4876988529977098e-14 relative error 1.3451823866030495e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2307030281953226 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2307030281952422 Order of pole (six term test) -2.0516921495072893e-13 TOP MAIN SOLVE Loop x[1] -1.9949999999999455 y[1] (closed_form) -1.1061467141214048 y[1] (numeric) -1.1061467141214196 absolute error 1.4876988529977098e-14 relative error 1.3449380936590911e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.231596961818998 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.231596961818987 Order of pole (six term test) -2.930988785010413e-14 TOP MAIN SOLVE Loop x[1] -1.9959999999999454 y[1] (closed_form) -1.106347435914286 y[1] (numeric) -1.1063474359143008 absolute error 1.4876988529977098e-14 relative error 1.3446940849718468e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2324909854240804 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2324909854240746 Order of pole (six term test) -1.5987211554602254e-14 TOP MAIN SOLVE Loop x[1] -1.9969999999999453 y[1] (closed_form) -1.1065479970013012 y[1] (numeric) -1.1065479970013163 absolute error 1.509903313490213e-14 relative error 1.3645167833496492e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2333850989025117 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2333850989024406 Order of pole (six term test) -1.8207657603852567e-13 TOP MAIN SOLVE Loop x[1] -1.9979999999999452 y[1] (closed_form) -1.1067483975592591 y[1] (numeric) -1.1067483975592742 absolute error 1.509903313490213e-14 relative error 1.3642697082914616e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.234279302146395 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.234279302146399 Order of pole (six term test) 9.769962616701378e-15 TOP MAIN SOLVE Loop x[1] -1.998999999999945 y[1] (closed_form) -1.1069486377647366 y[1] (numeric) -1.1069486377647517 absolute error 1.509903313490213e-14 relative error 1.3640229202857716e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2351735950479954 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.235173595047974 Order of pole (six term test) -5.5067062021407764e-14 TOP MAIN SOLVE Loop x[1] -1.999999999999945 y[1] (closed_form) -1.1071487177940795 y[1] (numeric) -1.1071487177940946 absolute error 1.509903313490213e-14 relative error 1.363776418852379e-12% Desired digits 12 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.2360679774997405 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2360679774997005 Order of pole (six term test) -1.0036416142611415e-13 Finished! diff ( y , x , 1 ) = 1.0 / ( x * x + 1.0 ) ; Iterations 501 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%