##############ECHO OF PROBLEM################# ##############temp/sing4_backpostode.ode################# diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 1.0 ) / ( x * x + 1.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-1.0) x_end=c(-2.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_h=c(0.1) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=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) # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(1.0) / (c(x) * c(x) + c(1.0))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -1.001 y[1] (closed_form) 0.49950024999987513 y[1] (numeric) 0.49950024999987513 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.4149208458426217 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.414920845842616 Order of pole (six term test) 0.9999999999998863 TOP MAIN SOLVE Loop x[1] -1.0019999999999998 y[1] (closed_form) 0.4990009999980042 y[1] (numeric) 0.499000999998004 absolute error 1.6653345369377348e-16 relative error 3.337337073361367e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.4156284823356724 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4156284823356724 Order of pole (six term test) 0.9999999999999964 TOP MAIN SOLVE Loop x[1] -1.0029999999999997 y[1] (closed_form) 0.4985022499899055 y[1] (numeric) 0.49850224998990533 absolute error 1.6653345369377348e-16 relative error 3.3406760691079276e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.4163364713231101 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4163364713231066 Order of pole (six term test) 0.9999999999999254 TOP MAIN SOLVE Loop x[1] -1.0039999999999996 y[1] (closed_form) 0.49800399996812794 y[1] (numeric) 0.4980039999681277 absolute error 2.220446049250313e-16 relative error 4.458691194031415e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.417044812276591 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4170448122765817 Order of pole (six term test) 0.9999999999998153 TOP MAIN SOLVE Loop x[1] -1.0049999999999994 y[1] (closed_form) 0.49750624992226494 y[1] (numeric) 0.4975062499222646 absolute error 3.3306690738754696e-16 relative error 6.694728105216536e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.417753504668565 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.41775350466856 Order of pole (six term test) 0.9999999999999041 TOP MAIN SOLVE Loop x[1] -1.0059999999999993 y[1] (closed_form) 0.49700899983896946 y[1] (numeric) 0.49700899983896907 absolute error 3.885780586188048e-16 relative error 7.81833042751145e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.418462547972275 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4184625479722652 Order of pole (six term test) 0.9999999999998082 TOP MAIN SOLVE Loop x[1] -1.0069999999999992 y[1] (closed_form) 0.49651224970196894 y[1] (numeric) 0.4965122497019685 absolute error 4.440892098500626e-16 relative error 8.94417429009308e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.4191719416617559 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4191719416617534 Order of pole (six term test) 0.9999999999999538 TOP MAIN SOLVE Loop x[1] -1.0079999999999991 y[1] (closed_form) 0.49601599949208003 y[1] (numeric) 0.4960159994920796 absolute error 4.440892098500626e-16 relative error 8.953122687671559e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.4198816852118343 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.419881685211826 Order of pole (six term test) 0.9999999999998366 TOP MAIN SOLVE Loop x[1] -1.008999999999999 y[1] (closed_form) 0.4955202491872234 y[1] (numeric) 0.49552024918722287 absolute error 5.551115123125783e-16 relative error 1.1202599958792791e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.420591778098127 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4205917780981225 Order of pole (six term test) 0.9999999999999076 TOP MAIN SOLVE Loop x[1] -1.009999999999999 y[1] (closed_form) 0.4950249987624381 y[1] (numeric) 0.49502499876243744 absolute error 6.661338147750939e-16 relative error 1.3456569192271657e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4213022197970415 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4213022197970269 Order of pole (six term test) 0.9999999999997051 TOP MAIN SOLVE Loop x[1] -1.0109999999999988 y[1] (closed_form) 0.4945302481898962 y[1] (numeric) 0.4945302481898956 absolute error 6.106226635438361e-16 relative error 1.234752911027924e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4220130097857746 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4220130097857675 Order of pole (six term test) 0.9999999999998614 TOP MAIN SOLVE Loop x[1] -1.0119999999999987 y[1] (closed_form) 0.49403599743891813 y[1] (numeric) 0.49403599743891735 absolute error 7.771561172376096e-16 relative error 1.5730758917698016e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4227241475423116 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.422724147542301 Order of pole (six term test) 0.9999999999997833 TOP MAIN SOLVE Loop x[1] -1.0129999999999986 y[1] (closed_form) 0.49354224647598577 y[1] (numeric) 0.49354224647598494 absolute error 8.326672684688674e-16 relative error 1.687124606686294e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4234356325454258 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4234356325454336 Order of pole (six term test) 1.0000000000001492 TOP MAIN SOLVE Loop x[1] -1.0139999999999985 y[1] (closed_form) 0.4930489952647582 y[1] (numeric) 0.49304899526475743 absolute error 7.771561172376096e-16 relative error 1.5762249283568483e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4241474642746785 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4241474642746965 Order of pole (six term test) 1.0000000000003553 TOP MAIN SOLVE Loop x[1] -1.0149999999999983 y[1] (closed_form) 0.49255624376608587 y[1] (numeric) 0.49255624376608503 absolute error 8.326672684688674e-16 relative error 1.6905019051272036e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4248596422104167 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4248596422104094 Order of pole (six term test) 0.9999999999998579 TOP MAIN SOLVE Loop x[1] -1.0159999999999982 y[1] (closed_form) 0.49206399193802436 y[1] (numeric) 0.4920639919380235 absolute error 8.326672684688674e-16 relative error 1.6921930523494638e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4255721658337739 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4255721658337754 Order of pole (six term test) 1.000000000000032 TOP MAIN SOLVE Loop x[1] -1.0169999999999981 y[1] (closed_form) 0.4915722397358496 y[1] (numeric) 0.49157223973584874 absolute error 8.881784197001252e-16 relative error 1.8068115892333448e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4262850346266682 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4262850346266676 Order of pole (six term test) 0.9999999999999822 TOP MAIN SOLVE Loop x[1] -1.017999999999998 y[1] (closed_form) 0.49108098711207154 y[1] (numeric) 0.49108098711207054 absolute error 9.992007221626409e-16 relative error 2.0346964113571136e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4269982480718033 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4269982480717913 Order of pole (six term test) 0.9999999999997584 TOP MAIN SOLVE Loop x[1] -1.018999999999998 y[1] (closed_form) 0.4905902340164486 y[1] (numeric) 0.4905902340164475 absolute error 1.0547118733938987e-15 relative error 2.149883548963056e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4277118056526659 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.427711805652653 Order of pole (six term test) 0.9999999999997407 TOP MAIN SOLVE Loop x[1] -1.0199999999999978 y[1] (closed_form) 0.49009998039600183 y[1] (numeric) 0.4900999803960008 absolute error 1.0547118733938987e-15 relative error 2.1520341064729063e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.428425706853526 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.428425706853538 Order of pole (six term test) 1.0000000000002451 TOP MAIN SOLVE Loop x[1] -1.0209999999999977 y[1] (closed_form) 0.48961022619502953 y[1] (numeric) 0.4896102261950284 absolute error 1.1102230246251565e-15 relative error 2.267565024638424e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.429139951159436 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4291399511594036 Order of pole (six term test) 0.9999999999993499 TOP MAIN SOLVE Loop x[1] -1.0219999999999976 y[1] (closed_form) 0.48912097135512056 y[1] (numeric) 0.48912097135511945 absolute error 1.1102230246251565e-15 relative error 2.2698332102777334e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4298545380562302 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4298545380562455 Order of pole (six term test) 1.0000000000003055 TOP MAIN SOLVE Loop x[1] -1.0229999999999975 y[1] (closed_form) 0.4886322158151693 y[1] (numeric) 0.488632215815168 absolute error 1.27675647831893e-15 relative error 2.6129191588175545e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4305694670305231 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4305694670305307 Order of pole (six term test) 1.0000000000001528 TOP MAIN SOLVE Loop x[1] -1.0239999999999974 y[1] (closed_form) 0.4881439595113888 y[1] (numeric) 0.48814395951138745 absolute error 1.3322676295501878e-15 relative error 2.729251491473398e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4312847375697102 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4312847375696984 Order of pole (six term test) 0.9999999999997655 TOP MAIN SOLVE Loop x[1] -1.0249999999999972 y[1] (closed_form) 0.4876562023773253 y[1] (numeric) 0.487656202377324 absolute error 1.3322676295501878e-15 relative error 2.7319813078463464e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4320003491619666 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.43200034916196 Order of pole (six term test) 0.9999999999998685 TOP MAIN SOLVE Loop x[1] -1.0259999999999971 y[1] (closed_form) 0.4871689443438725 y[1] (numeric) 0.48716894434387115 absolute error 1.3322676295501878e-15 relative error 2.734713788754554e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4327163012962456 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4327163012962292 Order of pole (six term test) 0.9999999999996732 TOP MAIN SOLVE Loop x[1] -1.026999999999997 y[1] (closed_form) 0.48668218533928465 y[1] (numeric) 0.4866821853392832 absolute error 1.4432899320127035e-15 relative error 2.965569678714521e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4334325934622785 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4334325934622374 Order of pole (six term test) 0.9999999999991722 TOP MAIN SOLVE Loop x[1] -1.027999999999997 y[1] (closed_form) 0.4861959252891908 y[1] (numeric) 0.48619592528918937 absolute error 1.4432899320127035e-15 relative error 2.968535639524807e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4341492251505747 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.434149225150548 Order of pole (six term test) 0.9999999999994671 TOP MAIN SOLVE Loop x[1] -1.0289999999999968 y[1] (closed_form) 0.4857101641166089 y[1] (numeric) 0.4857101641166074 absolute error 1.4988010832439613e-15 relative error 3.0857931210270707e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4348661958524194 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4348661958524085 Order of pole (six term test) 0.9999999999997762 TOP MAIN SOLVE Loop x[1] -1.0299999999999967 y[1] (closed_form) 0.48522490174195904 y[1] (numeric) 0.4852249017419574 absolute error 1.609823385706477e-15 relative error 3.317685015602467e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.435583505059874 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4355835050598598 Order of pole (six term test) 0.9999999999997193 TOP MAIN SOLVE Loop x[1] -1.0309999999999966 y[1] (closed_form) 0.4847401380830774 y[1] (numeric) 0.48474013808307576 absolute error 1.6653345369377348e-15 relative error 3.4355202016555946e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.436301152265775 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4363011522657878 Order of pole (six term test) 1.0000000000002558 TOP MAIN SOLVE Loop x[1] -1.0319999999999965 y[1] (closed_form) 0.48425587305523016 y[1] (numeric) 0.48425587305522844 absolute error 1.7208456881689926e-15 relative error 3.553587646365473e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4370191369637333 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4370191369636935 Order of pole (six term test) 0.9999999999992006 TOP MAIN SOLVE Loop x[1] -1.0329999999999964 y[1] (closed_form) 0.48377210657112674 y[1] (numeric) 0.4837721065711249 absolute error 1.8318679906315083e-15 relative error 3.7866341728864795e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.437737458648133 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.43773745864812 Order of pole (six term test) 0.9999999999997335 TOP MAIN SOLVE Loop x[1] -1.0339999999999963 y[1] (closed_form) 0.4832888385409334 y[1] (numeric) 0.4832888385409317 absolute error 1.7208456881689926e-15 relative error 3.560698180748987e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4384561168141323 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.438456116814125 Order of pole (six term test) 0.9999999999998508 TOP MAIN SOLVE Loop x[1] -1.0349999999999961 y[1] (closed_form) 0.48280606887228755 y[1] (numeric) 0.4828060688722857 absolute error 1.8318679906315083e-15 relative error 3.7942107788957314e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4391751109576596 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.439175110957666 Order of pole (six term test) 1.0000000000001243 TOP MAIN SOLVE Loop x[1] -1.035999999999996 y[1] (closed_form) 0.48232379747031 y[1] (numeric) 0.4823237974703081 absolute error 1.887379141862766e-15 relative error 3.9130956253074904e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4398944405754166 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.439894440575378 Order of pole (six term test) 0.9999999999992255 TOP MAIN SOLVE Loop x[1] -1.036999999999996 y[1] (closed_form) 0.4818420242376195 y[1] (numeric) 0.48184202423761746 absolute error 2.0539125955565396e-15 relative error 4.262626529527562e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4406141051648742 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.440614105164855 Order of pole (six term test) 0.9999999999996163 TOP MAIN SOLVE Loop x[1] -1.0379999999999958 y[1] (closed_form) 0.4813607490743453 y[1] (numeric) 0.48136074907434323 absolute error 2.0539125955565396e-15 relative error 4.2668883981633423e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4413341042242744 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4413341042242613 Order of pole (six term test) 0.9999999999997407 TOP MAIN SOLVE Loop x[1] -1.0389999999999957 y[1] (closed_form) 0.48087997187814135 y[1] (numeric) 0.4808799718781392 absolute error 2.1649348980190553e-15 relative error 4.5020275840634643e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.442054437252627 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.442054437252604 Order of pole (six term test) 0.9999999999995417 TOP MAIN SOLVE Loop x[1] -1.0399999999999956 y[1] (closed_form) 0.48039969254419884 y[1] (numeric) 0.48039969254419673 absolute error 2.1094237467877974e-15 relative error 4.3909764713134604e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4427751037497116 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.442775103749676 Order of pole (six term test) 0.9999999999992859 TOP MAIN SOLVE Loop x[1] -1.0409999999999955 y[1] (closed_form) 0.47991991096526027 y[1] (numeric) 0.4799199109652581 absolute error 2.1649348980190553e-15 relative error 4.5110337132392226e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.443496103216074 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.443496103216076 Order of pole (six term test) 1.000000000000032 TOP MAIN SOLVE Loop x[1] -1.0419999999999954 y[1] (closed_form) 0.47944062703163187 y[1] (numeric) 0.47944062703162965 absolute error 2.220446049250313e-15 relative error 4.631326433468509e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.444217435153028 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.444217435153013 Order of pole (six term test) 0.999999999999698 TOP MAIN SOLVE Loop x[1] -1.0429999999999953 y[1] (closed_form) 0.47896184063119734 y[1] (numeric) 0.47896184063119507 absolute error 2.275957200481571e-15 relative error 4.751854965068225e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4449390990626525 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4449390990626771 Order of pole (six term test) 1.0000000000004903 TOP MAIN SOLVE Loop x[1] -1.0439999999999952 y[1] (closed_form) 0.4784835516494308 y[1] (numeric) 0.4784835516494285 absolute error 2.275957200481571e-15 relative error 4.756604887745629e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4456610944477928 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.445661094447765 Order of pole (six term test) 0.9999999999994422 TOP MAIN SOLVE Loop x[1] -1.044999999999995 y[1] (closed_form) 0.47800575996940997 y[1] (numeric) 0.47800575996940764 absolute error 2.3314683517128287e-15 relative error 4.877490078492007e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4463834208120576 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4463834208120727 Order of pole (six term test) 1.000000000000302 TOP MAIN SOLVE Loop x[1] -1.045999999999995 y[1] (closed_form) 0.4775284654718292 y[1] (numeric) 0.47752846547182676 absolute error 2.4424906541753444e-15 relative error 5.11485875875903e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4471060776598201 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.44710607765984 Order of pole (six term test) 1.0000000000003872 TOP MAIN SOLVE Loop x[1] -1.0469999999999948 y[1] (closed_form) 0.4770516680350123 y[1] (numeric) 0.47705166803500987 absolute error 2.4424906541753444e-15 relative error 5.119970891698219e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4478290644962164 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.447829064496189 Order of pole (six term test) 0.9999999999994493 TOP MAIN SOLVE Loop x[1] -1.0479999999999947 y[1] (closed_form) 0.4765753675349259 y[1] (numeric) 0.47657536753492347 absolute error 2.4424906541753444e-15 relative error 5.125087909618715e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4485523808271445 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4485523808271834 Order of pole (six term test) 1.0000000000007745 TOP MAIN SOLVE Loop x[1] -1.0489999999999946 y[1] (closed_form) 0.47609956384519214 y[1] (numeric) 0.4760995638451896 absolute error 2.55351295663786e-15 relative error 5.363401167635089e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4492760261592643 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.449276026159307 Order of pole (six term test) 1.0000000000008455 TOP MAIN SOLVE Loop x[1] -1.0499999999999945 y[1] (closed_form) 0.4756242568371013 y[1] (numeric) 0.4756242568370987 absolute error 2.609024107869118e-15 relative error 5.48547318679479e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.449999999999996 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.449999999999953 Order of pole (six term test) 0.9999999999991402 TOP MAIN SOLVE Loop x[1] -1.0509999999999944 y[1] (closed_form) 0.4751494463796252 y[1] (numeric) 0.47514944637962253 absolute error 2.6645352591003757e-15 relative error 5.607783570837879e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4507243018575198 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4507243018575 Order of pole (six term test) 0.9999999999996021 TOP MAIN SOLVE Loop x[1] -1.0519999999999943 y[1] (closed_form) 0.4746751323394296 y[1] (numeric) 0.4746751323394269 absolute error 2.7200464103316335e-15 relative error 5.730332652831261e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.451448931240775 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4514489312407413 Order of pole (six term test) 0.9999999999993285 TOP MAIN SOLVE Loop x[1] -1.0529999999999942 y[1] (closed_form) 0.4742013145808871 y[1] (numeric) 0.47420131458088427 absolute error 2.831068712794149e-15 relative error 5.970183181158682e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4521738876594592 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.452173887659397 Order of pole (six term test) 0.9999999999987494 TOP MAIN SOLVE Loop x[1] -1.053999999999994 y[1] (closed_form) 0.47372799296608964 y[1] (numeric) 0.47372799296608675 absolute error 2.886579864025407e-15 relative error 6.093327620249019e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4528991706240275 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4528991706240981 Order of pole (six term test) 1.0000000000014104 TOP MAIN SOLVE Loop x[1] -1.054999999999994 y[1] (closed_form) 0.47325516735486145 y[1] (numeric) 0.47325516735485856 absolute error 2.886579864025407e-15 relative error 6.099415417182248e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4536247796456923 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4536247796460762 Order of pole (six term test) 1.000000000007649 TOP MAIN SOLVE Loop x[1] -1.0559999999999938 y[1] (closed_form) 0.4727828376047715 y[1] (numeric) 0.4727828376047687 absolute error 2.831068712794149e-15 relative error 5.988095352904529e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4543507142364207 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.454350714236544 Order of pole (six term test) 1.0000000000024514 TOP MAIN SOLVE Loop x[1] -1.0569999999999937 y[1] (closed_form) 0.4723110035711464 y[1] (numeric) 0.47231100357114353 absolute error 2.886579864025407e-15 relative error 6.111608330527891e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4550769739089362 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4550769739089964 Order of pole (six term test) 1.0000000000011937 TOP MAIN SOLVE Loop x[1] -1.0579999999999936 y[1] (closed_form) 0.47183966510708225 y[1] (numeric) 0.4718396651070793 absolute error 2.942091015256665e-15 relative error 6.235361782458388e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.455803558176716 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4558035581766862 Order of pole (six term test) 0.9999999999994102 TOP MAIN SOLVE Loop x[1] -1.0589999999999935 y[1] (closed_form) 0.47136882206345787 y[1] (numeric) 0.47136882206345476 absolute error 3.1086244689504383e-15 relative error 6.594887747013401e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4565304665539907 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.456530466554015 Order of pole (six term test) 1.0000000000004832 TOP MAIN SOLVE Loop x[1] -1.0599999999999934 y[1] (closed_form) 0.47089847428894643 y[1] (numeric) 0.4708984742889433 absolute error 3.1086244689504383e-15 relative error 6.601474922263107e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4572576985557448 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4572576985556709 Order of pole (six term test) 0.9999999999985185 TOP MAIN SOLVE Loop x[1] -1.0609999999999933 y[1] (closed_form) 0.4704286216300289 y[1] (numeric) 0.4704286216300258 absolute error 3.1086244689504383e-15 relative error 6.60806831476175e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4579852536977134 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4579852536977653 Order of pole (six term test) 1.0000000000010374 TOP MAIN SOLVE Loop x[1] -1.0619999999999932 y[1] (closed_form) 0.4699592639310057 y[1] (numeric) 0.4699592639310025 absolute error 3.164135620181696e-15 relative error 6.732786994589855e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4587131314963835 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.45871313149637 Order of pole (six term test) 0.9999999999997229 TOP MAIN SOLVE Loop x[1] -1.062999999999993 y[1] (closed_form) 0.4694904010340089 y[1] (numeric) 0.4694904010340057 absolute error 3.219646771412954e-15 relative error 6.857747814059631e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4594413314689925 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4594413314689705 Order of pole (six term test) 0.9999999999995559 TOP MAIN SOLVE Loop x[1] -1.063999999999993 y[1] (closed_form) 0.4690220327790152 y[1] (numeric) 0.46902203277901183 absolute error 3.3861802251067274e-15 relative error 7.219661313229101e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4601698531335265 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4601698531334728 Order of pole (six term test) 0.9999999999989235 TOP MAIN SOLVE Loop x[1] -1.0649999999999928 y[1] (closed_form) 0.4685541590038572 y[1] (numeric) 0.4685541590038539 absolute error 3.3306690738754696e-15 relative error 7.108397204191823e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4608986960087222 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4608986960087298 Order of pole (six term test) 1.0000000000001492 TOP MAIN SOLVE Loop x[1] -1.0659999999999927 y[1] (closed_form) 0.46808677954423666 y[1] (numeric) 0.4680867795442333 absolute error 3.3861802251067274e-15 relative error 7.234086440988055e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4616278596140622 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.461627859614071 Order of pole (six term test) 1.000000000000167 TOP MAIN SOLVE Loop x[1] -1.0669999999999926 y[1] (closed_form) 0.46761989423373573 y[1] (numeric) 0.46761989423373235 absolute error 3.3861802251067274e-15 relative error 7.241309163408208e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4623573434697774 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4623573434697599 Order of pole (six term test) 0.9999999999996518 TOP MAIN SOLVE Loop x[1] -1.0679999999999925 y[1] (closed_form) 0.4671535029038297 y[1] (numeric) 0.4671535029038262 absolute error 3.497202527569243e-15 relative error 7.486195663375327e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4630871470968447 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4630871470968727 Order of pole (six term test) 1.0000000000005613 TOP MAIN SOLVE Loop x[1] -1.0689999999999924 y[1] (closed_form) 0.4666876053838984 y[1] (numeric) 0.46668760538389487 absolute error 3.552713678800501e-15 relative error 7.612616315100183e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4638172700169867 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4638172700170338 Order of pole (six term test) 1.0000000000009415 TOP MAIN SOLVE Loop x[1] -1.0699999999999923 y[1] (closed_form) 0.466222201501239 y[1] (numeric) 0.46622220150123544 absolute error 3.552713678800501e-15 relative error 7.620215569659137e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4645477117526706 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4645477117526895 Order of pole (six term test) 1.0000000000003766 TOP MAIN SOLVE Loop x[1] -1.0709999999999922 y[1] (closed_form) 0.4657572910810775 y[1] (numeric) 0.46575729108107383 absolute error 3.6637359812630166e-15 relative error 7.866191364946868e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4652784718271075 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.465278471827105 Order of pole (six term test) 0.9999999999999503 TOP MAIN SOLVE Loop x[1] -1.071999999999992 y[1] (closed_form) 0.4652928739465806 y[1] (numeric) 0.46529287394657687 absolute error 3.7192471324942744e-15 relative error 7.993346429202512e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4660095497642514 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4660095497642571 Order of pole (six term test) 1.0000000000001137 TOP MAIN SOLVE Loop x[1] -1.072999999999992 y[1] (closed_form) 0.46482894991886786 y[1] (numeric) 0.46482894991886403 absolute error 3.83026943495679e-15 relative error 8.240169713236089e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4667409450887987 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.466740945088758 Order of pole (six term test) 0.9999999999991829 TOP MAIN SOLVE Loop x[1] -1.0739999999999919 y[1] (closed_form) 0.4643655188170233 y[1] (numeric) 0.4643655188170195 absolute error 3.83026943495679e-15 relative error 8.248393301712941e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4674726573261876 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.46747265732621 Order of pole (six term test) 1.000000000000444 TOP MAIN SOLVE Loop x[1] -1.0749999999999917 y[1] (closed_form) 0.46390258045810767 y[1] (numeric) 0.46390258045810373 absolute error 3.941291737419306e-15 relative error 8.49594700147442e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4682046860025961 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4682046860026121 Order of pole (six term test) 1.0000000000003162 TOP MAIN SOLVE Loop x[1] -1.0759999999999916 y[1] (closed_form) 0.46344013465716943 y[1] (numeric) 0.46344013465716544 absolute error 3.9968028886505635e-15 relative error 8.624205349860785e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.468937030644943 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4689370306449607 Order of pole (six term test) 1.0000000000003588 TOP MAIN SOLVE Loop x[1] -1.0769999999999915 y[1] (closed_form) 0.4629781812272572 y[1] (numeric) 0.4629781812272532 absolute error 3.9968028886505635e-15 relative error 8.63281046648005e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4696696907808848 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4696696907809308 Order of pole (six term test) 1.000000000000913 TOP MAIN SOLVE Loop x[1] -1.0779999999999914 y[1] (closed_form) 0.4625167199794312 y[1] (numeric) 0.46251671997942717 absolute error 4.052314039881821e-15 relative error 8.761443348603772e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4704026659388174 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4704026659388305 Order of pole (six term test) 1.0000000000002593 TOP MAIN SOLVE Loop x[1] -1.0789999999999913 y[1] (closed_form) 0.46205575072277477 y[1] (numeric) 0.4620557507227706 absolute error 4.163336342344337e-15 relative error 9.010463208891571e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4711359556478731 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4711359556479047 Order of pole (six term test) 1.0000000000006288 TOP MAIN SOLVE Loop x[1] -1.0799999999999912 y[1] (closed_form) 0.46159527326440586 y[1] (numeric) 0.4615952732644017 absolute error 4.163336342344337e-15 relative error 9.019451852054692e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4718695594379214 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4718695594378746 Order of pole (six term test) 0.9999999999990585 TOP MAIN SOLVE Loop x[1] -1.080999999999991 y[1] (closed_form) 0.461135287409489 y[1] (numeric) 0.46113528740948484 absolute error 4.163336342344337e-15 relative error 9.028448821890497e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4726034768395668 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.472603476839541 Order of pole (six term test) 0.9999999999994813 TOP MAIN SOLVE Loop x[1] -1.081999999999991 y[1] (closed_form) 0.4606757929612466 y[1] (numeric) 0.46067579296124234 absolute error 4.274358644806853e-15 relative error 9.278452894889627e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.473337707384149 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4733377073841445 Order of pole (six term test) 0.9999999999999076 TOP MAIN SOLVE Loop x[1] -1.0829999999999909 y[1] (closed_form) 0.4602167897209702 y[1] (numeric) 0.46021678972096586 absolute error 4.3298697960381105e-15 relative error 9.408326451243368e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4740722506037416 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4740722506037347 Order of pole (six term test) 0.9999999999998579 TOP MAIN SOLVE Loop x[1] -1.0839999999999907 y[1] (closed_form) 0.4597582774880321 y[1] (numeric) 0.4597582774880278 absolute error 4.3298697960381105e-15 relative error 9.417709279091381e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4748071060311514 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4748071060311827 Order of pole (six term test) 1.0000000000006217 TOP MAIN SOLVE Loop x[1] -1.0849999999999906 y[1] (closed_form) 0.45930025605989705 y[1] (numeric) 0.4593002560598926 absolute error 4.440892098500626e-15 relative error 9.668821299157935e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4755422731999173 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4755422731999608 Order of pole (six term test) 1.0000000000008704 TOP MAIN SOLVE Loop x[1] -1.0859999999999905 y[1] (closed_form) 0.45884272523213293 y[1] (numeric) 0.4588427252321284 absolute error 4.551914400963142e-15 relative error 9.920424037801373e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.47627775164431 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4762777516443195 Order of pole (six term test) 1.0000000000001883 TOP MAIN SOLVE Loop x[1] -1.0869999999999904 y[1] (closed_form) 0.4583856847984224 y[1] (numeric) 0.45838568479841785 absolute error 4.551914400963142e-15 relative error 9.930315347794665e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.4770135408993308 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4770135408993608 Order of pole (six term test) 1.0000000000006004 TOP MAIN SOLVE Loop x[1] -1.0879999999999903 y[1] (closed_form) 0.45792913455057455 y[1] (numeric) 0.4579291345505698 absolute error 4.718447854656915e-15 relative error 1.030388219191981e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4777496405007102 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4777496405006902 Order of pole (six term test) 0.999999999999595 TOP MAIN SOLVE Loop x[1] -1.0889999999999902 y[1] (closed_form) 0.4574730742785351 y[1] (numeric) 0.45747307427853046 absolute error 4.6629367034256575e-15 relative error 1.0192811261688817e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4784860499849088 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4784860499848855 Order of pole (six term test) 0.999999999999531 TOP MAIN SOLVE Loop x[1] -1.08999999999999 y[1] (closed_form) 0.45701750377039896 y[1] (numeric) 0.4570175037703942 absolute error 4.773959005888173e-15 relative error 1.0445899700783809e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4792227688891144 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4792227688891215 Order of pole (six term test) 1.000000000000142 TOP MAIN SOLVE Loop x[1] -1.09099999999999 y[1] (closed_form) 0.4565624228124199 y[1] (numeric) 0.45656242281241516 absolute error 4.718447854656915e-15 relative error 1.03347266855457e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4799597967512423 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4799597967513027 Order of pole (six term test) 1.000000000001215 TOP MAIN SOLVE Loop x[1] -1.0919999999999899 y[1] (closed_form) 0.456107831189023 y[1] (numeric) 0.45610783118901815 absolute error 4.829470157119431e-15 relative error 1.0588439458558589e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4806971331099341 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4806971331099381 Order of pole (six term test) 1.0000000000000817 TOP MAIN SOLVE Loop x[1] -1.0929999999999898 y[1] (closed_form) 0.45565372868281445 y[1] (numeric) 0.4556537286828096 absolute error 4.829470157119431e-15 relative error 1.0598991850851895e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4814347775045575 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.481434777504547 Order of pole (six term test) 0.9999999999997868 TOP MAIN SOLVE Loop x[1] -1.0939999999999896 y[1] (closed_form) 0.45520011507459385 y[1] (numeric) 0.45520011507458885 absolute error 4.9960036108132044e-15 relative error 1.0975400588364322e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4821727294752043 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4821727294752094 Order of pole (six term test) 1.000000000000096 TOP MAIN SOLVE Loop x[1] -1.0949999999999895 y[1] (closed_form) 0.4547469901433637 y[1] (numeric) 0.45474699014335873 absolute error 4.9960036108132044e-15 relative error 1.0986336840268393e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.482910988562691 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4829109885626695 Order of pole (six term test) 0.9999999999995666 TOP MAIN SOLVE Loop x[1] -1.0959999999999894 y[1] (closed_form) 0.454294353666342 y[1] (numeric) 0.4542943536663369 absolute error 5.10702591327572e-15 relative error 1.1241667152717006e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.483649554308556 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4836495543085364 Order of pole (six term test) 0.9999999999996128 TOP MAIN SOLVE Loop x[1] -1.0969999999999893 y[1] (closed_form) 0.4538422054189715 y[1] (numeric) 0.45384220541896647 absolute error 5.051514762044462e-15 relative error 1.113055309032151e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.484388426255061 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4843884262551341 Order of pole (six term test) 1.0000000000014602 TOP MAIN SOLVE Loop x[1] -1.0979999999999892 y[1] (closed_form) 0.45339054517493205 y[1] (numeric) 0.4533905451749269 absolute error 5.162537064506978e-15 relative error 1.1386512399624726e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4851276039451884 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4851276039452643 Order of pole (six term test) 1.0000000000015241 TOP MAIN SOLVE Loop x[1] -1.098999999999989 y[1] (closed_form) 0.4529393727061501 y[1] (numeric) 0.4529393727061449 absolute error 5.162537064506978e-15 relative error 1.1397854493555446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4858670869226414 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.485867086922575 Order of pole (six term test) 0.9999999999986677 TOP MAIN SOLVE Loop x[1] -1.099999999999989 y[1] (closed_form) 0.4524886877828104 y[1] (numeric) 0.4524886877828052 absolute error 5.162537064506978e-15 relative error 1.1409206912560296e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4866068747318424 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.48660687473184 Order of pole (six term test) 0.9999999999999432 TOP MAIN SOLVE Loop x[1] -1.1009999999999889 y[1] (closed_form) 0.4520384901733663 y[1] (numeric) 0.45203849017336106 absolute error 5.218048215738236e-15 relative error 1.1543371480904213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.487346966917933 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4873469669180426 Order of pole (six term test) 1.000000000002192 TOP MAIN SOLVE Loop x[1] -1.1019999999999888 y[1] (closed_form) 0.4515887796445505 y[1] (numeric) 0.4515887796445452 absolute error 5.329070518200751e-15 relative error 1.1800715071785683e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.488087363026773 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.488087363026732 Order of pole (six term test) 0.9999999999991722 TOP MAIN SOLVE Loop x[1] -1.1029999999999887 y[1] (closed_form) 0.4511395559613857 y[1] (numeric) 0.4511395559613804 absolute error 5.329070518200751e-15 relative error 1.1812465672278316e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4888280626049386 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.488828062604891 Order of pole (six term test) 0.9999999999990479 TOP MAIN SOLVE Loop x[1] -1.1039999999999885 y[1] (closed_form) 0.4506908188871954 y[1] (numeric) 0.45069081888719004 absolute error 5.384581669432009e-15 relative error 1.1947395961442317e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4895690651997222 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.489569065199731 Order of pole (six term test) 1.000000000000174 TOP MAIN SOLVE Loop x[1] -1.1049999999999884 y[1] (closed_form) 0.45024256818361413 y[1] (numeric) 0.45024256818360864 absolute error 5.495603971894525e-15 relative error 1.2205873811676895e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4903103703591323 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4903103703591363 Order of pole (six term test) 1.0000000000000782 TOP MAIN SOLVE Loop x[1] -1.1059999999999883 y[1] (closed_form) 0.44979480361059804 y[1] (numeric) 0.44979480361059254 absolute error 5.495603971894525e-15 relative error 1.2218024592058755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4910519776318913 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4910519776318867 Order of pole (six term test) 0.9999999999999041 TOP MAIN SOLVE Loop x[1] -1.1069999999999882 y[1] (closed_form) 0.4493475249264359 y[1] (numeric) 0.44934752492643026 absolute error 5.662137425588298e-15 relative error 1.2600798071637903e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4917938865674352 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4917938865674167 Order of pole (six term test) 0.999999999999627 TOP MAIN SOLVE Loop x[1] -1.107999999999988 y[1] (closed_form) 0.4489007318877586 y[1] (numeric) 0.4489007318877529 absolute error 5.662137425588298e-15 relative error 1.2613339706035582e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4925360967159131 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4925360967161632 Order of pole (six term test) 1.0000000000050164 TOP MAIN SOLVE Loop x[1] -1.108999999999988 y[1] (closed_form) 0.44845442424955057 y[1] (numeric) 0.4484544242495448 absolute error 5.773159728050814e-15 relative error 1.2873459187545521e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4932786076281857 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4932786076279747 Order of pole (six term test) 0.9999999999957616 TOP MAIN SOLVE Loop x[1] -1.1099999999999879 y[1] (closed_form) 0.4480086017651592 y[1] (numeric) 0.4480086017651535 absolute error 5.717648576819556e-15 relative error 1.276236338831878e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4940214188558252 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4940214188552947 Order of pole (six term test) 0.999999999989349 TOP MAIN SOLVE Loop x[1] -1.1109999999999878 y[1] (closed_form) 0.4475632641863063 y[1] (numeric) 0.4475632641863005 absolute error 5.828670879282072e-15 relative error 1.3023121747668241e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4947645299511134 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4947645299503152 Order of pole (six term test) 0.9999999999839702 TOP MAIN SOLVE Loop x[1] -1.1119999999999877 y[1] (closed_form) 0.4471184112630971 y[1] (numeric) 0.4471184112630912 absolute error 5.88418203051333e-15 relative error 1.3160232015252244e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4955079404670417 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.49550794046654 Order of pole (six term test) 0.999999999989921 TOP MAIN SOLVE Loop x[1] -1.1129999999999876 y[1] (closed_form) 0.44667404274403144 y[1] (numeric) 0.44667404274402545 absolute error 5.995204332975845e-15 relative error 1.3421877609331833e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4962516499573097 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4962516499574274 Order of pole (six term test) 1.000000000002359 TOP MAIN SOLVE Loop x[1] -1.1139999999999874 y[1] (closed_form) 0.4462301583760134 y[1] (numeric) 0.4462301583760074 absolute error 5.995204332975845e-15 relative error 1.343522892938137e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4969956579763255 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4969956579762913 Order of pole (six term test) 0.9999999999993072 TOP MAIN SOLVE Loop x[1] -1.1149999999999873 y[1] (closed_form) 0.44578675790436206 y[1] (numeric) 0.445786757904356 absolute error 6.050715484207103e-15 relative error 1.3573116242060307e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4977399640792028 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4977399640791735 Order of pole (six term test) 0.9999999999994067 TOP MAIN SOLVE Loop x[1] -1.1159999999999872 y[1] (closed_form) 0.44534384107282116 y[1] (numeric) 0.44534384107281505 absolute error 6.106226635438361e-15 relative error 1.3711263235904706e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4984845678217615 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4984845678217855 Order of pole (six term test) 1.0000000000004796 TOP MAIN SOLVE Loop x[1] -1.1169999999999871 y[1] (closed_form) 0.44490140762356933 y[1] (numeric) 0.4449014076235631 absolute error 6.217248937900877e-15 relative error 1.3974442047981304e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4992294687605268 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4992294687604657 Order of pole (six term test) 0.9999999999987708 TOP MAIN SOLVE Loop x[1] -1.117999999999987 y[1] (closed_form) 0.44445945729723 y[1] (numeric) 0.4444594572972238 absolute error 6.217248937900877e-15 relative error 1.3988337599357512e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.4999746664527274 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4999746664527296 Order of pole (six term test) 1.000000000000039 TOP MAIN SOLVE Loop x[1] -1.118999999999987 y[1] (closed_form) 0.4440179898328818 y[1] (numeric) 0.4440179898328756 absolute error 6.217248937900877e-15 relative error 1.4002245585231594e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.500720160456296 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5007201604563343 Order of pole (six term test) 1.0000000000007674 TOP MAIN SOLVE Loop x[1] -1.1199999999999868 y[1] (closed_form) 0.44357700496806834 y[1] (numeric) 0.44357700496806196 absolute error 6.38378239159465e-15 relative error 1.4391599023610789e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5014659503298668 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.501465950329911 Order of pole (six term test) 1.0000000000008846 TOP MAIN SOLVE Loop x[1] -1.1209999999999867 y[1] (closed_form) 0.44313650243880764 y[1] (numeric) 0.44313650243880126 absolute error 6.38378239159465e-15 relative error 1.4405905079950352e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5022120356327764 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5022120356327415 Order of pole (six term test) 0.999999999999293 TOP MAIN SOLVE Loop x[1] -1.1219999999999866 y[1] (closed_form) 0.4426964819796029 y[1] (numeric) 0.4426964819795965 absolute error 6.38378239159465e-15 relative error 1.4420223903854698e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5029584159250615 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5029584159251066 Order of pole (six term test) 1.0000000000008988 TOP MAIN SOLVE Loop x[1] -1.1229999999999865 y[1] (closed_form) 0.44225694332345195 y[1] (numeric) 0.4422569433234454 absolute error 6.5503158452884236e-15 relative error 1.4811109116940967e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.503705090767458 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.503705090767443 Order of pole (six term test) 0.9999999999996945 TOP MAIN SOLVE Loop x[1] -1.1239999999999863 y[1] (closed_form) 0.44181788620185675 y[1] (numeric) 0.44181788620185014 absolute error 6.6058269965196814e-15 relative error 1.4951470284074524e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.504452059721402 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5044520597213653 Order of pole (six term test) 0.9999999999992646 TOP MAIN SOLVE Loop x[1] -1.1249999999999862 y[1] (closed_form) 0.44137931034483363 y[1] (numeric) 0.441379310344827 absolute error 6.6058269965196814e-15 relative error 1.49663267889897e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5051993223490265 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5051993223490574 Order of pole (six term test) 1.0000000000006075 TOP MAIN SOLVE Loop x[1] -1.1259999999999861 y[1] (closed_form) 0.440941215480923 y[1] (numeric) 0.44094121548091636 absolute error 6.661338147750939e-15 relative error 1.51070889131686e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5059468782131622 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.505946878213186 Order of pole (six term test) 1.0000000000004725 TOP MAIN SOLVE Loop x[1] -1.126999999999986 y[1] (closed_form) 0.4405036013371988 y[1] (numeric) 0.44050360133719213 absolute error 6.661338147750939e-15 relative error 1.5122096908015483e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5066947268773356 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5066947268773851 Order of pole (six term test) 1.0000000000009912 TOP MAIN SOLVE Loop x[1] -1.127999999999986 y[1] (closed_form) 0.44006646763927837 y[1] (numeric) 0.44006646763927165 absolute error 6.716849298982197e-15 relative error 1.5263260877418148e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5074428679057685 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.507442867905816 Order of pole (six term test) 1.0000000000009486 TOP MAIN SOLVE Loop x[1] -1.1289999999999858 y[1] (closed_form) 0.4396298141113319 y[1] (numeric) 0.4396298141113251 absolute error 6.772360450213455e-15 relative error 1.5404688746833766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5081913008633778 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.508191300863423 Order of pole (six term test) 1.0000000000008953 TOP MAIN SOLVE Loop x[1] -1.1299999999999857 y[1] (closed_form) 0.43919364047609216 y[1] (numeric) 0.43919364047608533 absolute error 6.827871601444713e-15 relative error 1.5546380849329246e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5089400253157736 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.50894002531578 Order of pole (six term test) 1.000000000000128 TOP MAIN SOLVE Loop x[1] -1.1309999999999856 y[1] (closed_form) 0.438757946454864 y[1] (numeric) 0.43875794645485716 absolute error 6.827871601444713e-15 relative error 1.556181866702011e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5096890408292587 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5096890408292556 Order of pole (six term test) 0.9999999999999396 TOP MAIN SOLVE Loop x[1] -1.1319999999999855 y[1] (closed_form) 0.438322731767534 y[1] (numeric) 0.43832273176752706 absolute error 6.938893903907228e-15 relative error 1.5830559085827416e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5104383469708278 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5104383469708365 Order of pole (six term test) 1.0000000000001705 TOP MAIN SOLVE Loop x[1] -1.1329999999999854 y[1] (closed_form) 0.43788799613257956 y[1] (numeric) 0.4378879961325726 absolute error 6.938893903907228e-15 relative error 1.5846275680519766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5111879433081667 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5111879433081776 Order of pole (six term test) 1.0000000000002132 TOP MAIN SOLVE Loop x[1] -1.1339999999999852 y[1] (closed_form) 0.43745373926707887 y[1] (numeric) 0.43745373926707193 absolute error 6.938893903907228e-15 relative error 1.5862006152999922e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.511937829409651 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5119378294096686 Order of pole (six term test) 1.0000000000003482 TOP MAIN SOLVE Loop x[1] -1.1349999999999851 y[1] (closed_form) 0.43701996088672 y[1] (numeric) 0.4370199608867129 absolute error 7.105427357601002e-15 relative error 1.625881651534631e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5126880048443452 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5126880048443911 Order of pole (six term test) 1.0000000000009166 TOP MAIN SOLVE Loop x[1] -1.135999999999985 y[1] (closed_form) 0.43658666070581 y[1] (numeric) 0.4365866607058029 absolute error 7.105427357601002e-15 relative error 1.6274952940875422e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5134384691820033 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5134384691819884 Order of pole (six term test) 0.9999999999996945 TOP MAIN SOLVE Loop x[1] -1.136999999999985 y[1] (closed_form) 0.4361538384372848 y[1] (numeric) 0.4361538384372777 absolute error 7.105427357601002e-15 relative error 1.6291103577259248e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5141892219930657 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5141892219930932 Order of pole (six term test) 1.0000000000005507 TOP MAIN SOLVE Loop x[1] -1.1379999999999848 y[1] (closed_form) 0.4357214937927182 y[1] (numeric) 0.435721493792711 absolute error 7.16093850883226e-15 relative error 1.6434668959064175e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5149402628486595 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.514940262848665 Order of pole (six term test) 1.0000000000001101 TOP MAIN SOLVE Loop x[1] -1.1389999999999847 y[1] (closed_form) 0.43528962648233105 y[1] (numeric) 0.43528962648232383 absolute error 7.216449660063518e-15 relative error 1.6578501349506527e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5156915913205975 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5156915913205997 Order of pole (six term test) 1.000000000000039 TOP MAIN SOLVE Loop x[1] -1.1399999999999846 y[1] (closed_form) 0.4348582362150006 y[1] (numeric) 0.4348582362149933 absolute error 7.271960811294775e-15 relative error 1.6722601081653208e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5164432069813774 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5164432069813925 Order of pole (six term test) 1.0000000000002913 TOP MAIN SOLVE Loop x[1] -1.1409999999999845 y[1] (closed_form) 0.4344273226982696 y[1] (numeric) 0.43442732269826223 absolute error 7.382983113757291e-15 relative error 1.6994748552878482e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.517195109404181 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.517195109404216 Order of pole (six term test) 1.0000000000007034 TOP MAIN SOLVE Loop x[1] -1.1419999999999844 y[1] (closed_form) 0.4339968856383553 y[1] (numeric) 0.43399688563834804 absolute error 7.271960811294775e-15 relative error 1.6755790310795958e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5179472981628725 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5179472981628483 Order of pole (six term test) 0.9999999999995097 TOP MAIN SOLVE Loop x[1] -1.1429999999999843 y[1] (closed_form) 0.43356692474015923 y[1] (numeric) 0.43356692474015185 absolute error 7.382983113757291e-15 relative error 1.7028474019742126e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5186997728319986 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5186997728320326 Order of pole (six term test) 1.000000000000675 TOP MAIN SOLVE Loop x[1] -1.1439999999999841 y[1] (closed_form) 0.4331374397072752 y[1] (numeric) 0.43313743970726776 absolute error 7.438494264988549e-15 relative error 1.7173519495372333e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5194525329867872 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5194525329868138 Order of pole (six term test) 1.000000000000533 TOP MAIN SOLVE Loop x[1] -1.144999999999984 y[1] (closed_form) 0.432708430241999 y[1] (numeric) 0.43270843024199157 absolute error 7.438494264988549e-15 relative error 1.719054620874489e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5202055782031467 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5202055782031885 Order of pole (six term test) 1.0000000000008384 TOP MAIN SOLVE Loop x[1] -1.145999999999984 y[1] (closed_form) 0.4322798960453375 y[1] (numeric) 0.43227989604532996 absolute error 7.549516567451064e-15 relative error 1.7464417467749349e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5209589080576644 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.520958908057668 Order of pole (six term test) 1.000000000000071 TOP MAIN SOLVE Loop x[1] -1.1469999999999838 y[1] (closed_form) 0.43185183681701705 y[1] (numeric) 0.4318518368170095 absolute error 7.549516567451064e-15 relative error 1.7481728509238511e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.521712522127607 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5217125221276009 Order of pole (six term test) 0.9999999999998757 TOP MAIN SOLVE Loop x[1] -1.1479999999999837 y[1] (closed_form) 0.43142425225549297 y[1] (numeric) 0.43142425225548536 absolute error 7.605027718682322e-15 relative error 1.7627724169244344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5224664199909181 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5224664199909452 Order of pole (six term test) 1.0000000000005365 TOP MAIN SOLVE Loop x[1] -1.1489999999999836 y[1] (closed_form) 0.430997142057958 y[1] (numeric) 0.43099714205795037 absolute error 7.66053886991358e-15 relative error 1.777398994651207e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5232206012262184 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5232206012262324 Order of pole (six term test) 1.0000000000002771 TOP MAIN SOLVE Loop x[1] -1.1499999999999835 y[1] (closed_form) 0.4305705059203515 y[1] (numeric) 0.4305705059203438 absolute error 7.716050021144838e-15 relative error 1.7920526174108593e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5239750654128046 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5239750654127946 Order of pole (six term test) 0.9999999999997975 TOP MAIN SOLVE Loop x[1] -1.1509999999999834 y[1] (closed_form) 0.4301443435373679 y[1] (numeric) 0.43014434353736014 absolute error 7.771561172376096e-15 relative error 1.8067333185100823e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5247298121306483 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.52472981213063 Order of pole (six term test) 0.9999999999996305 TOP MAIN SOLVE Loop x[1] -1.1519999999999833 y[1] (closed_form) 0.42971865460246583 y[1] (numeric) 0.429718654602458 absolute error 7.827072323607354e-15 relative error 1.8214411312555665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.525484840960395 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.525484840960407 Order of pole (six term test) 1.0000000000002416 TOP MAIN SOLVE Loop x[1] -1.1529999999999831 y[1] (closed_form) 0.42929343880787646 y[1] (numeric) 0.42929343880786863 absolute error 7.827072323607354e-15 relative error 1.8232452714261577e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5262401514833637 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5262401514833965 Order of pole (six term test) 1.0000000000006608 TOP MAIN SOLVE Loop x[1] -1.153999999999983 y[1] (closed_form) 0.4288686958446126 y[1] (numeric) 0.42886869584460474 absolute error 7.882583474838611e-15 relative error 1.837994600961648e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.526995743281546 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5269957432815615 Order of pole (six term test) 1.000000000000309 TOP MAIN SOLVE Loop x[1] -1.154999999999983 y[1] (closed_form) 0.42844442540247724 y[1] (numeric) 0.4284444254024693 absolute error 7.93809462606987e-15 relative error 1.8527711309612413e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5277516159376041 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5277516159376114 Order of pole (six term test) 1.0000000000001528 TOP MAIN SOLVE Loop x[1] -1.1559999999999828 y[1] (closed_form) 0.4280206271700719 y[1] (numeric) 0.4280206271700639 absolute error 7.993605777301127e-15 relative error 1.867574894731629e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5285077690348716 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5285077690349016 Order of pole (six term test) 1.000000000000604 TOP MAIN SOLVE Loop x[1] -1.1569999999999827 y[1] (closed_form) 0.42759730083480546 y[1] (numeric) 0.4275973008347975 absolute error 7.93809462606987e-15 relative error 1.8564417059163357e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5292642021573513 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5292642021573843 Order of pole (six term test) 1.0000000000006608 TOP MAIN SOLVE Loop x[1] -1.1579999999999826 y[1] (closed_form) 0.4271744460829031 y[1] (numeric) 0.42717444608289507 absolute error 8.049116928532385e-15 relative error 1.884269296148456e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5300209148897148 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5300209148897264 Order of pole (six term test) 1.0000000000002345 TOP MAIN SOLVE Loop x[1] -1.1589999999999825 y[1] (closed_form) 0.42675206259941395 y[1] (numeric) 0.42675206259940585 absolute error 8.104628079763643e-15 relative error 1.89914209913763e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5307779068173015 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5307779068173233 Order of pole (six term test) 1.000000000000437 TOP MAIN SOLVE Loop x[1] -1.1599999999999824 y[1] (closed_form) 0.4263301500682202 y[1] (numeric) 0.4263301500682121 absolute error 8.104628079763643e-15 relative error 1.901021562389327e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5315351775261186 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5315351775261614 Order of pole (six term test) 1.0000000000008598 TOP MAIN SOLVE Loop x[1] -1.1609999999999823 y[1] (closed_form) 0.4259087081720457 y[1] (numeric) 0.42590870817203746 absolute error 8.215650382226158e-15 relative error 1.9289698061086483e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5322927266028377 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.532292726602845 Order of pole (six term test) 1.0000000000001492 TOP MAIN SOLVE Loop x[1] -1.1619999999999822 y[1] (closed_form) 0.4254877365924635 y[1] (numeric) 0.42548773659245526 absolute error 8.215650382226158e-15 relative error 1.930878301692439e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5330505536347971 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5330505536348282 Order of pole (six term test) 1.0000000000006253 TOP MAIN SOLVE Loop x[1] -1.162999999999982 y[1] (closed_form) 0.42506723500990523 y[1] (numeric) 0.425067235009897 absolute error 8.215650382226158e-15 relative error 1.932788440406307e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5338086582099992 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5338086582099946 Order of pole (six term test) 0.9999999999999076 TOP MAIN SOLVE Loop x[1] -1.163999999999982 y[1] (closed_form) 0.42464720310366905 y[1] (numeric) 0.4246472031036608 absolute error 8.271161533457416e-15 relative error 1.947772521049239e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.534567039917109 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5345670399170988 Order of pole (six term test) 0.9999999999997939 TOP MAIN SOLVE Loop x[1] -1.1649999999999818 y[1] (closed_form) 0.42422764055192774 y[1] (numeric) 0.42422764055191947 absolute error 8.271161533457416e-15 relative error 1.949698874570381e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5353256983454546 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.535325698345451 Order of pole (six term test) 0.999999999999929 TOP MAIN SOLVE Loop x[1] -1.1659999999999817 y[1] (closed_form) 0.42380854703173737 y[1] (numeric) 0.423808547031729 absolute error 8.382183835919932e-15 relative error 1.9778232163147534e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5360846330850255 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.536084633085043 Order of pole (six term test) 1.0000000000003446 TOP MAIN SOLVE Loop x[1] -1.1669999999999816 y[1] (closed_form) 0.4233899222190451 y[1] (numeric) 0.42338992221903665 absolute error 8.43769498715119e-15 relative error 1.9928898975507173e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5368438437264722 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5368438437264789 Order of pole (six term test) 1.0000000000001386 TOP MAIN SOLVE Loop x[1] -1.1679999999999815 y[1] (closed_form) 0.42297176578869783 y[1] (numeric) 0.42297176578868934 absolute error 8.493206138382448e-15 relative error 2.0079841789310734e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5376033298611045 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.537603329861132 Order of pole (six term test) 1.0000000000005507 TOP MAIN SOLVE Loop x[1] -1.1689999999999814 y[1] (closed_form) 0.4225540774144501 y[1] (numeric) 0.42255407741444156 absolute error 8.548717289613705e-15 relative error 2.0231060937625125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5383630910808919 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.538363091080902 Order of pole (six term test) 1.000000000000199 TOP MAIN SOLVE Loop x[1] -1.1699999999999813 y[1] (closed_form) 0.4221368567689723 y[1] (numeric) 0.42213685676896373 absolute error 8.548717289613705e-15 relative error 2.0251056387365534e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5391231269784613 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5391231269784627 Order of pole (six term test) 1.0000000000000249 TOP MAIN SOLVE Loop x[1] -1.1709999999999812 y[1] (closed_form) 0.42172010352385886 y[1] (numeric) 0.42172010352385025 absolute error 8.604228440844963e-15 relative error 2.0402699252297273e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5398834371470964 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.539883437147102 Order of pole (six term test) 1.0000000000001066 TOP MAIN SOLVE Loop x[1] -1.171999999999981 y[1] (closed_form) 0.4213038173496361 y[1] (numeric) 0.42130381734962746 absolute error 8.659739592076221e-15 relative error 2.055461933991826e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5406440211807384 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5406440211807657 Order of pole (six term test) 1.0000000000005507 TOP MAIN SOLVE Loop x[1] -1.172999999999981 y[1] (closed_form) 0.42088799791577053 y[1] (numeric) 0.42088799791576187 absolute error 8.659739592076221e-15 relative error 2.0574926429261678e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5414048786739827 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5414048786739982 Order of pole (six term test) 1.0000000000003126 TOP MAIN SOLVE Loop x[1] -1.1739999999999808 y[1] (closed_form) 0.42047264489067665 y[1] (numeric) 0.42047264489066793 absolute error 8.715250743307479e-15 relative error 2.0727271676789945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5421660092220795 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5421660092220926 Order of pole (six term test) 1.0000000000002665 TOP MAIN SOLVE Loop x[1] -1.1749999999999807 y[1] (closed_form) 0.42005775794172495 y[1] (numeric) 0.42005775794171624 absolute error 8.715250743307479e-15 relative error 2.0747743800785975e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5429274124209327 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5429274124209447 Order of pole (six term test) 1.000000000000238 TOP MAIN SOLVE Loop x[1] -1.1759999999999806 y[1] (closed_form) 0.41964333673525 y[1] (numeric) 0.41964333673524123 absolute error 8.770761894538737e-15 relative error 2.090051509639994e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5436890878670986 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.543689087867103 Order of pole (six term test) 1.0000000000000853 TOP MAIN SOLVE Loop x[1] -1.1769999999999805 y[1] (closed_form) 0.4192293809365581 y[1] (numeric) 0.41922938093654927 absolute error 8.826273045769994e-15 relative error 2.105356505799309e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5444510351577851 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5444510351577763 Order of pole (six term test) 0.9999999999998153 TOP MAIN SOLVE Loop x[1] -1.1779999999999804 y[1] (closed_form) 0.41881589020993537 y[1] (numeric) 0.4188158902099265 absolute error 8.881784197001252e-15 relative error 2.1206894018632328e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5452132538908518 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5452132538908478 Order of pole (six term test) 0.9999999999999183 TOP MAIN SOLVE Loop x[1] -1.1789999999999803 y[1] (closed_form) 0.41840286421865547 y[1] (numeric) 0.4184028642186465 absolute error 8.992806499463768e-15 relative error 2.1493176238784463e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5459757436648072 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.545975743664815 Order of pole (six term test) 1.0000000000001563 TOP MAIN SOLVE Loop x[1] -1.1799999999999802 y[1] (closed_form) 0.41799030262498726 y[1] (numeric) 0.41799030262497827 absolute error 8.992806499463768e-15 relative error 2.1514390269316697e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5467385040788095 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5467385040788137 Order of pole (six term test) 1.0000000000000853 TOP MAIN SOLVE Loop x[1] -1.18099999999998 y[1] (closed_form) 0.41757820509020305 y[1] (numeric) 0.41757820509019394 absolute error 9.103828801926284e-15 relative error 2.180149416552936e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5475015347326648 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5475015347326613 Order of pole (six term test) 0.9999999999999254 TOP MAIN SOLVE Loop x[1] -1.18199999999998 y[1] (closed_form) 0.4171665712745856 y[1] (numeric) 0.4171665712745765 absolute error 9.103828801926284e-15 relative error 2.1823006512988308e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5482648352268267 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.548264835226845 Order of pole (six term test) 1.0000000000003801 TOP MAIN SOLVE Loop x[1] -1.1829999999999798 y[1] (closed_form) 0.4167554008374366 y[1] (numeric) 0.41675540083742746 absolute error 9.159339953157541e-15 relative error 2.1977735464861596e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5490284051623946 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.549028405162403 Order of pole (six term test) 1.0000000000001705 TOP MAIN SOLVE Loop x[1] -1.1839999999999797 y[1] (closed_form) 0.41634469343708363 y[1] (numeric) 0.4163446934370745 absolute error 9.159339953157541e-15 relative error 2.199941562253072e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5497922441411145 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5497922441411327 Order of pole (six term test) 1.0000000000003837 TOP MAIN SOLVE Loop x[1] -1.1849999999999796 y[1] (closed_form) 0.4159344487308884 y[1] (numeric) 0.41593444873087915 absolute error 9.270362255620057e-15 relative error 2.228803669401768e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5505563517653758 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5505563517653687 Order of pole (six term test) 0.9999999999998579 TOP MAIN SOLVE Loop x[1] -1.1859999999999795 y[1] (closed_form) 0.41552466637525376 y[1] (numeric) 0.4155246663752445 absolute error 9.270362255620057e-15 relative error 2.2310016722925755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.551320727638212 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.551320727638213 Order of pole (six term test) 1.0000000000000142 TOP MAIN SOLVE Loop x[1] -1.1869999999999794 y[1] (closed_form) 0.4151153460256318 y[1] (numeric) 0.4151153460256225 absolute error 9.325873406851315e-15 relative error 2.246573993502875e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5520853713632994 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5520853713633038 Order of pole (six term test) 1.0000000000000995 TOP MAIN SOLVE Loop x[1] -1.1879999999999793 y[1] (closed_form) 0.41470648733653115 y[1] (numeric) 0.41470648733652177 absolute error 9.381384558082573e-15 relative error 2.2621745365824604e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5528502825449564 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5528502825449657 Order of pole (six term test) 1.0000000000001954 TOP MAIN SOLVE Loop x[1] -1.1889999999999792 y[1] (closed_form) 0.41429808996152434 y[1] (numeric) 0.4142980899615149 absolute error 9.43689570931383e-15 relative error 2.2778033348380223e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5536154607881418 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5536154607881498 Order of pole (six term test) 1.0000000000001705 TOP MAIN SOLVE Loop x[1] -1.189999999999979 y[1] (closed_form) 0.4138901535532555 y[1] (numeric) 0.413890153553246 absolute error 9.492406860545088e-15 relative error 2.293460421576252e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5543809056984554 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5543809056984756 Order of pole (six term test) 1.000000000000437 TOP MAIN SOLVE Loop x[1] -1.190999999999979 y[1] (closed_form) 0.41348267776344766 y[1] (numeric) 0.4134826777634381 absolute error 9.547918011776346e-15 relative error 2.3091458301038394e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.555146616882135 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5551466168821504 Order of pole (six term test) 1.0000000000003304 TOP MAIN SOLVE Loop x[1] -1.1919999999999789 y[1] (closed_form) 0.41307566224291037 y[1] (numeric) 0.4130756622429007 absolute error 9.658940314238862e-15 relative error 2.3382980884889057e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5559125939460576 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5559125939460503 Order of pole (six term test) 0.9999999999998437 TOP MAIN SOLVE Loop x[1] -1.1929999999999787 y[1] (closed_form) 0.41266910664154643 y[1] (numeric) 0.4126691066415369 absolute error 9.547918011776346e-15 relative error 2.313698277411854e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5566788364977375 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5566788364977564 Order of pole (six term test) 1.000000000000398 TOP MAIN SOLVE Loop x[1] -1.1939999999999786 y[1] (closed_form) 0.4122630106083604 y[1] (numeric) 0.4122630106083508 absolute error 9.603429163007604e-15 relative error 2.3294423501240625e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5574453441453249 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5574453441453409 Order of pole (six term test) 1.0000000000003588 TOP MAIN SOLVE Loop x[1] -1.1949999999999785 y[1] (closed_form) 0.41185737379146475 y[1] (numeric) 0.41185737379145504 absolute error 9.71445146547012e-15 relative error 2.3586931019447587e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.558212116497606 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5582121164976095 Order of pole (six term test) 1.0000000000000888 TOP MAIN SOLVE Loop x[1] -1.1959999999999784 y[1] (closed_form) 0.41145219583808745 y[1] (numeric) 0.41145219583807774 absolute error 9.71445146547012e-15 relative error 2.3610158272901525e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.558979153164002 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5589791531640156 Order of pole (six term test) 1.0000000000002878 TOP MAIN SOLVE Loop x[1] -1.1969999999999783 y[1] (closed_form) 0.4110474763945798 y[1] (numeric) 0.41104747639457 absolute error 9.769962616701378e-15 relative error 2.3768452983574156e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.559746453754567 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5597464537545624 Order of pole (six term test) 0.9999999999999076 TOP MAIN SOLVE Loop x[1] -1.1979999999999782 y[1] (closed_form) 0.4106432151064229 y[1] (numeric) 0.41064321510641305 absolute error 9.825473767932635e-15 relative error 2.3927033021564114e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5605140178799894 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5605140178799954 Order of pole (six term test) 1.0000000000001243 TOP MAIN SOLVE Loop x[1] -1.198999999999978 y[1] (closed_form) 0.41023941161823513 y[1] (numeric) 0.41023941161822525 absolute error 9.880984919163893e-15 relative error 2.4085898719938304e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5612818451515882 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.561281845151593 Order of pole (six term test) 1.0000000000001066 TOP MAIN SOLVE Loop x[1] -1.199999999999978 y[1] (closed_form) 0.4098360655737794 y[1] (numeric) 0.40983606557376945 absolute error 9.936496070395151e-15 relative error 2.4245050411763643e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.562049935181314 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.562049935181324 Order of pole (six term test) 1.0000000000002203 TOP MAIN SOLVE Loop x[1] -1.2009999999999779 y[1] (closed_form) 0.40943317661597 y[1] (numeric) 0.40943317661596007 absolute error 9.936496070395151e-15 relative error 2.426890793882866e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.562818287581748 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5628182875817447 Order of pole (six term test) 0.999999999999929 TOP MAIN SOLVE Loop x[1] -1.2019999999999778 y[1] (closed_form) 0.4090307443868801 y[1] (numeric) 0.40903074438687004 absolute error 1.0047518372857667e-14 relative error 2.4564213108035375e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5635869019661 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.563586901966102 Order of pole (six term test) 1.0000000000000355 TOP MAIN SOLVE Loop x[1] -1.2029999999999776 y[1] (closed_form) 0.40862876852774815 y[1] (numeric) 0.4086287685277381 absolute error 1.0047518372857667e-14 relative error 2.4588377389722098e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5643557779482091 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.564355777948212 Order of pole (six term test) 1.0000000000000995 TOP MAIN SOLVE Loop x[1] -1.2039999999999775 y[1] (closed_form) 0.4082272486789857 y[1] (numeric) 0.4082272486789756 absolute error 1.0103029524088925e-14 relative error 2.4748542770680066e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5651249151425408 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5651249151425404 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] -1.2049999999999774 y[1] (closed_form) 0.4078261844801836 y[1] (numeric) 0.4078261844801735 absolute error 1.0103029524088925e-14 relative error 2.4772880968803598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5658943131641885 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5658943131641863 Order of pole (six term test) 0.9999999999999822 TOP MAIN SOLVE Loop x[1] -1.2059999999999773 y[1] (closed_form) 0.4074255755701197 y[1] (numeric) 0.40742557557010955 absolute error 1.0158540675320182e-14 relative error 2.493348794096961e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5666639716288702 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5666639716288775 Order of pole (six term test) 1.000000000000206 TOP MAIN SOLVE Loop x[1] -1.2069999999999772 y[1] (closed_form) 0.40702542158676513 y[1] (numeric) 0.407025421586755 absolute error 1.0158540675320182e-14 relative error 2.4958000499619157e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5674338901529292 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5674338901529263 Order of pole (six term test) 0.9999999999999574 TOP MAIN SOLVE Loop x[1] -1.207999999999977 y[1] (closed_form) 0.4066257221672917 y[1] (numeric) 0.4066257221672815 absolute error 1.021405182655144e-14 relative error 2.5119049951171636e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.568204068353333 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.568204068353335 Order of pole (six term test) 1.0000000000000533 TOP MAIN SOLVE Loop x[1] -1.208999999999977 y[1] (closed_form) 0.4062264769480784 y[1] (numeric) 0.4062264769480681 absolute error 1.0269562977782698e-14 relative error 2.528038806071052e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5689745058476714 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.568974505847673 Order of pole (six term test) 1.0000000000000249 TOP MAIN SOLVE Loop x[1] -1.2099999999999769 y[1] (closed_form) 0.40582768556471843 y[1] (numeric) 0.4058276855647081 absolute error 1.0325074129013956e-14 relative error 2.5442015161302712e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.569745202254157 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5697452022541594 Order of pole (six term test) 1.0000000000000355 TOP MAIN SOLVE Loop x[1] -1.2109999999999768 y[1] (closed_form) 0.405429347652026 y[1] (numeric) 0.4054293476520156 absolute error 1.0380585280245214e-14 relative error 2.5603931586015123e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5705161571916233 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5705161571916237 Order of pole (six term test) 1.0000000000000213 TOP MAIN SOLVE Loop x[1] -1.2119999999999767 y[1] (closed_form) 0.40503146284404296 y[1] (numeric) 0.4050314628440326 absolute error 1.0380585280245214e-14 relative error 2.5629083744149154e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5712873702795245 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5712873702795291 Order of pole (six term test) 1.0000000000000497 TOP MAIN SOLVE Loop x[1] -1.2129999999999765 y[1] (closed_form) 0.40463403077404586 y[1] (numeric) 0.4046340307740354 absolute error 1.0436096431476471e-14 relative error 2.5791445201760984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5720588411379337 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5720588411379386 Order of pole (six term test) 1.000000000000103 TOP MAIN SOLVE Loop x[1] -1.2139999999999764 y[1] (closed_form) 0.40423705107455227 y[1] (numeric) 0.4042370510745418 absolute error 1.049160758270773e-14 relative error 2.595409687167145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.572830569387543 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5728305693875342 Order of pole (six term test) 0.9999999999998579 TOP MAIN SOLVE Loop x[1] -1.2149999999999763 y[1] (closed_form) 0.4038405233773277 y[1] (numeric) 0.40384052337731713 absolute error 1.0547118733938987e-14 relative error 2.6117039086947463e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5736025546496621 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5736025546496504 Order of pole (six term test) 0.9999999999998366 TOP MAIN SOLVE Loop x[1] -1.2159999999999762 y[1] (closed_form) 0.40344444731339213 y[1] (numeric) 0.4034444473133816 absolute error 1.0547118733938987e-14 relative error 2.6142679132589664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.574374796546217 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5743747965462163 Order of pole (six term test) 0.9999999999999858 TOP MAIN SOLVE Loop x[1] -1.216999999999976 y[1] (closed_form) 0.40304882251302687 y[1] (numeric) 0.4030488225130163 absolute error 1.0547118733938987e-14 relative error 2.6168340272469337e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5751472946997502 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5751472946997478 Order of pole (six term test) 0.9999999999999574 TOP MAIN SOLVE Loop x[1] -1.217999999999976 y[1] (closed_form) 0.40265364860578096 y[1] (numeric) 0.4026536486057703 absolute error 1.0658141036401503e-14 relative error 2.6469749059287383e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5759200487334188 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5759200487334228 Order of pole (six term test) 1.0000000000000853 TOP MAIN SOLVE Loop x[1] -1.2189999999999759 y[1] (closed_form) 0.4022589252204776 y[1] (numeric) 0.40225892522046686 absolute error 1.0769163338864018e-14 relative error 2.6771720063045096e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5766930582709944 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5766930582709857 Order of pole (six term test) 0.9999999999998757 TOP MAIN SOLVE Loop x[1] -1.2199999999999758 y[1] (closed_form) 0.4018646519852209 y[1] (numeric) 0.40186465198521015 absolute error 1.0769163338864018e-14 relative error 2.679798605242859e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5774663229368608 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.577466322936857 Order of pole (six term test) 0.9999999999999218 TOP MAIN SOLVE Loop x[1] -1.2209999999999757 y[1] (closed_form) 0.4014708285274025 y[1] (numeric) 0.40147082852739174 absolute error 1.0769163338864018e-14 relative error 2.6824273580138752e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5782398423560156 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.578239842356026 Order of pole (six term test) 1.0000000000001705 TOP MAIN SOLVE Loop x[1] -1.2219999999999756 y[1] (closed_form) 0.4010774544737077 y[1] (numeric) 0.4010774544736969 absolute error 1.0769163338864018e-14 relative error 2.68505826461756e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5790136161540662 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5790136161540604 Order of pole (six term test) 0.9999999999999076 TOP MAIN SOLVE Loop x[1] -1.2229999999999754 y[1] (closed_form) 0.40068452945012223 y[1] (numeric) 0.40068452945011135 absolute error 1.0880185641326534e-14 relative error 2.7153994830441574e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5797876439572314 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5797876439572363 Order of pole (six term test) 1.0000000000000853 TOP MAIN SOLVE Loop x[1] -1.2239999999999753 y[1] (closed_form) 0.40029205308193827 y[1] (numeric) 0.40029205308192733 absolute error 1.0935696792557792e-14 relative error 2.731929527044419e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5805619253923395 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5805619253923338 Order of pole (six term test) 0.9999999999999112 TOP MAIN SOLVE Loop x[1] -1.2249999999999752 y[1] (closed_form) 0.3999000249937613 y[1] (numeric) 0.3999000249937503 absolute error 1.099120794378905e-14 relative error 2.7484889364436822e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5813364600868276 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5813364600868522 Order of pole (six term test) 1.0000000000004157 TOP MAIN SOLVE Loop x[1] -1.225999999999975 y[1] (closed_form) 0.39950844480951614 y[1] (numeric) 0.39950844480950515 absolute error 1.099120794378905e-14 relative error 2.7511828815107047e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5821112476687405 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5821112476687318 Order of pole (six term test) 0.9999999999998543 TOP MAIN SOLVE Loop x[1] -1.226999999999975 y[1] (closed_form) 0.3991173121524534 y[1] (numeric) 0.3991173121524424 absolute error 1.099120794378905e-14 relative error 2.753879024819316e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5828862877667298 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5828862877667218 Order of pole (six term test) 0.9999999999998792 TOP MAIN SOLVE Loop x[1] -1.227999999999975 y[1] (closed_form) 0.3987266266451559 y[1] (numeric) 0.3987266266451448 absolute error 1.1102230246251565e-14 relative error 2.78442158219143e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5836615800100533 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.58366158001004 Order of pole (six term test) 0.9999999999997868 TOP MAIN SOLVE Loop x[1] -1.2289999999999748 y[1] (closed_form) 0.39833638790954445 y[1] (numeric) 0.39833638790953335 absolute error 1.1102230246251565e-14 relative error 2.787149400162934e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5844371240285737 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5844371240285924 Order of pole (six term test) 1.0000000000003055 TOP MAIN SOLVE Loop x[1] -1.2299999999999747 y[1] (closed_form) 0.3979465955668848 y[1] (numeric) 0.3979465955668737 absolute error 1.1102230246251565e-14 relative error 2.789879438580487e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5852129194527584 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5852129194527573 Order of pole (six term test) 0.9999999999999787 TOP MAIN SOLVE Loop x[1] -1.2309999999999746 y[1] (closed_form) 0.3975572492377933 y[1] (numeric) 0.3975572492377821 absolute error 1.1213252548714081e-14 relative error 2.8205378144185295e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5859889659136779 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5859889659136674 Order of pole (six term test) 0.9999999999998259 TOP MAIN SOLVE Loop x[1] -1.2319999999999744 y[1] (closed_form) 0.39716834854224325 y[1] (numeric) 0.397168348542232 absolute error 1.1268763699945339e-14 relative error 2.837276369405046e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5867652630430051 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.586765263042982 Order of pole (six term test) 0.9999999999996128 TOP MAIN SOLVE Loop x[1] -1.2329999999999743 y[1] (closed_form) 0.3967798930995711 y[1] (numeric) 0.39677989309955985 absolute error 1.1268763699945339e-14 relative error 2.8400541196570827e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5875418104730146 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5875418104730192 Order of pole (six term test) 1.0000000000000888 TOP MAIN SOLVE Loop x[1] -1.2339999999999742 y[1] (closed_form) 0.39639188252848284 y[1] (numeric) 0.39639188252847146 absolute error 1.1379786002407855e-14 relative error 2.8708423416289706e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5883186078365814 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5883186078365659 Order of pole (six term test) 0.9999999999997407 TOP MAIN SOLVE Loop x[1] -1.2349999999999741 y[1] (closed_form) 0.3960043164470593 y[1] (numeric) 0.3960043164470479 absolute error 1.1379786002407855e-14 relative error 2.8736520107929645e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.589095654767181 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5890956547671788 Order of pole (six term test) 0.9999999999998934 TOP MAIN SOLVE Loop x[1] -1.235999999999974 y[1] (closed_form) 0.3956171944727631 y[1] (numeric) 0.3956171944727517 absolute error 1.1435297153639112e-14 relative error 2.8904954874064237e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5898729508988874 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5898729508988811 Order of pole (six term test) 0.9999999999998934 TOP MAIN SOLVE Loop x[1] -1.236999999999974 y[1] (closed_form) 0.3952305162224442 y[1] (numeric) 0.39523051622243277 absolute error 1.1435297153639112e-14 relative error 2.8933234363925183e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.590650495866372 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.590650495866349 Order of pole (six term test) 0.9999999999996163 TOP MAIN SOLVE Loop x[1] -1.2379999999999738 y[1] (closed_form) 0.39484428131234617 y[1] (numeric) 0.3948442813123346 absolute error 1.1546319456101628e-14 relative error 2.9242716692578303e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5914282893049045 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5914282893048952 Order of pole (six term test) 0.9999999999998437 TOP MAIN SOLVE Loop x[1] -1.2389999999999737 y[1] (closed_form) 0.39445848935811184 y[1] (numeric) 0.39445848935810024 absolute error 1.1601830607332886e-14 relative error 2.9412044411091592e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.59220633085035 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5922063308503462 Order of pole (six term test) 0.9999999999999432 TOP MAIN SOLVE Loop x[1] -1.2399999999999736 y[1] (closed_form) 0.3940731399747895 y[1] (numeric) 0.3940731399747779 absolute error 1.1601830607332886e-14 relative error 2.944080534916717e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5929846201391695 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.592984620139136 Order of pole (six term test) 0.9999999999994245 TOP MAIN SOLVE Loop x[1] -1.2409999999999735 y[1] (closed_form) 0.393688232776839 y[1] (numeric) 0.39368823277682735 absolute error 1.1657341758564144e-14 relative error 2.9610592311434598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.593763156808418 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.593763156808384 Order of pole (six term test) 0.9999999999994174 TOP MAIN SOLVE Loop x[1] -1.2419999999999733 y[1] (closed_form) 0.3933037673781372 y[1] (numeric) 0.39330376737812556 absolute error 1.1657341758564144e-14 relative error 2.963953749102111e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5945419404957444 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5945419404957415 Order of pole (six term test) 0.9999999999999467 TOP MAIN SOLVE Loop x[1] -1.2429999999999732 y[1] (closed_form) 0.39291974339198427 y[1] (numeric) 0.39291974339197255 absolute error 1.1712852909795402e-14 relative error 2.98097845852211e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5953209708393898 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.595320970839335 Order of pole (six term test) 0.9999999999990514 TOP MAIN SOLVE Loop x[1] -1.2439999999999731 y[1] (closed_form) 0.39253616043110917 y[1] (numeric) 0.39253616043109746 absolute error 1.1712852909795402e-14 relative error 2.9838914450407757e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5961002474781882 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5961002474781587 Order of pole (six term test) 0.9999999999994991 TOP MAIN SOLVE Loop x[1] -1.244999999999973 y[1] (closed_form) 0.39215301810767594 y[1] (numeric) 0.3921530181076641 absolute error 1.1823875212257917e-14 relative error 3.01511773881372e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.596879770051563 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5968797700515633 Order of pole (six term test) 1.0000000000000036 TOP MAIN SOLVE Loop x[1] -1.245999999999973 y[1] (closed_form) 0.39177031603328893 y[1] (numeric) 0.39177031603327706 absolute error 1.1879386363489175e-14 relative error 3.032232376298713e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.597659538199529 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5976595381995082 Order of pole (six term test) 0.9999999999996412 TOP MAIN SOLVE Loop x[1] -1.2469999999999728 y[1] (closed_form) 0.3913880538189989 y[1] (numeric) 0.391388053818987 absolute error 1.1879386363489175e-14 relative error 3.0351939073191307e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5984395515626895 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5984395515626904 Order of pole (six term test) 1.0000000000000142 TOP MAIN SOLVE Loop x[1] -1.2479999999999727 y[1] (closed_form) 0.39100623107530885 y[1] (numeric) 0.3910062310752969 absolute error 1.1934897514720433e-14 relative error 3.052354813348675e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5992198097822363 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5992198097822166 Order of pole (six term test) 0.9999999999996554 TOP MAIN SOLVE Loop x[1] -1.2489999999999726 y[1] (closed_form) 0.39062484741217945 y[1] (numeric) 0.39062484741216746 absolute error 1.199040866595169e-14 relative error 3.069545817524417e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.600000312499948 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6000003124999167 Order of pole (six term test) 0.9999999999994529 TOP MAIN SOLVE Loop x[1] -1.2499999999999725 y[1] (closed_form) 0.3902439024390349 y[1] (numeric) 0.39024390243902285 absolute error 1.2045919817182948e-14 relative error 3.0867669531530473e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6007810593581906 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6007810593581973 Order of pole (six term test) 1.0000000000001101 TOP MAIN SOLVE Loop x[1] -1.2509999999999724 y[1] (closed_form) 0.3898633957647685 y[1] (numeric) 0.3898633957647564 absolute error 1.2101430968414206e-14 relative error 3.104018253541257e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6015620499999152 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6015620499998702 Order of pole (six term test) 0.9999999999992184 TOP MAIN SOLVE Loop x[1] -1.2519999999999722 y[1] (closed_form) 0.38948332699774846 y[1] (numeric) 0.3894833269977363 absolute error 1.2156942119645464e-14 relative error 3.121299751995736e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6023432840686576 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6023432840686371 Order of pole (six term test) 0.9999999999996518 TOP MAIN SOLVE Loop x[1] -1.2529999999999721 y[1] (closed_form) 0.3891036957458231 y[1] (numeric) 0.389103695745811 absolute error 1.2101430968414206e-14 relative error 3.1100786501702385e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6031247612085375 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6031247612085453 Order of pole (six term test) 1.000000000000135 TOP MAIN SOLVE Loop x[1] -1.253999999999972 y[1] (closed_form) 0.38872450161632705 y[1] (numeric) 0.3887245016163149 absolute error 1.2156942119645464e-14 relative error 3.127392811386102e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6039064810642578 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6039064810642534 Order of pole (six term test) 0.9999999999999218 TOP MAIN SOLVE Loop x[1] -1.254999999999972 y[1] (closed_form) 0.3883457442160862 y[1] (numeric) 0.388345744216074 absolute error 1.2212453270876722e-14 relative error 3.1447372483838472e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6046884432811028 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6046884432811452 Order of pole (six term test) 1.0000000000007425 TOP MAIN SOLVE Loop x[1] -1.2559999999999718 y[1] (closed_form) 0.38796742315142346 y[1] (numeric) 0.3879674231514112 absolute error 1.226796442210798e-14 relative error 3.162111994470165e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6054706475049394 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6054706475048932 Order of pole (six term test) 0.9999999999991864 TOP MAIN SOLVE Loop x[1] -1.2569999999999717 y[1] (closed_form) 0.3875895380281644 y[1] (numeric) 0.3875895380281521 absolute error 1.2323475573339238e-14 relative error 3.179517082951745e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6062530933822132 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6062530933821877 Order of pole (six term test) 0.9999999999995524 TOP MAIN SOLVE Loop x[1] -1.2579999999999716 y[1] (closed_form) 0.3872120884516425 y[1] (numeric) 0.38721208845163013 absolute error 1.2378986724570495e-14 relative error 3.196952547135279e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6070357805599502 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6070357805599804 Order of pole (six term test) 1.0000000000005258 TOP MAIN SOLVE Loop x[1] -1.2589999999999715 y[1] (closed_form) 0.3868350740267047 y[1] (numeric) 0.38683507402669226 absolute error 1.2434497875801753e-14 relative error 3.2144184203274577e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.607818708685755 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6078187086857278 Order of pole (six term test) 0.999999999999531 TOP MAIN SOLVE Loop x[1] -1.2599999999999714 y[1] (closed_form) 0.3864584943577168 y[1] (numeric) 0.3864584943577043 absolute error 1.2490009027033011e-14 relative error 3.2319147358349715e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.608601877407809 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.608601877407726 Order of pole (six term test) 0.9999999999985469 TOP MAIN SOLVE Loop x[1] -1.2609999999999713 y[1] (closed_form) 0.38608234904856875 y[1] (numeric) 0.38608234904855626 absolute error 1.2490009027033011e-14 relative error 3.2350634671106867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6093852863748717 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.609385286374816 Order of pole (six term test) 0.999999999999023 TOP MAIN SOLVE Loop x[1] -1.2619999999999711 y[1] (closed_form) 0.3857066377026804 y[1] (numeric) 0.38570663770266783 absolute error 1.2545520178264269e-14 relative error 3.2526067617054873e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6101689352362774 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6101689352362802 Order of pole (six term test) 1.0000000000000497 TOP MAIN SOLVE Loop x[1] -1.262999999999971 y[1] (closed_form) 0.38533135992300627 y[1] (numeric) 0.38533135992299367 absolute error 1.2601031329495527e-14 relative error 3.2701805874334653e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.610952823641936 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6109528236419048 Order of pole (six term test) 0.9999999999994564 TOP MAIN SOLVE Loop x[1] -1.263999999999971 y[1] (closed_form) 0.3849565153120413 y[1] (numeric) 0.3849565153120286 absolute error 1.2656542480726785e-14 relative error 3.2877849776013114e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6117369512423316 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.61173695124234 Order of pole (six term test) 1.0000000000001457 TOP MAIN SOLVE Loop x[1] -1.2649999999999708 y[1] (closed_form) 0.38458210347182586 y[1] (numeric) 0.3845821034718132 absolute error 1.2656542480726785e-14 relative error 3.290985817194687e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6125213176885216 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6125213176885287 Order of pole (six term test) 1.0000000000001208 TOP MAIN SOLVE Loop x[1] -1.2659999999999707 y[1] (closed_form) 0.38420812400395143 y[1] (numeric) 0.3842081240039387 absolute error 1.2712053631958042e-14 relative error 3.308637386289964e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6133059226321353 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.613305922632103 Order of pole (six term test) 0.999999999999428 TOP MAIN SOLVE Loop x[1] -1.2669999999999706 y[1] (closed_form) 0.3838345765095652 y[1] (numeric) 0.3838345765095525 absolute error 1.2712053631958042e-14 relative error 3.3118573494749387e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6140907657253745 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.614090765725304 Order of pole (six term test) 0.9999999999987672 TOP MAIN SOLVE Loop x[1] -1.2679999999999705 y[1] (closed_form) 0.3834614605893759 y[1] (numeric) 0.3834614605893632 absolute error 1.2712053631958042e-14 relative error 3.31507985507064e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6148758466210105 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6148758466209665 Order of pole (six term test) 0.9999999999992255 TOP MAIN SOLVE Loop x[1] -1.2689999999999704 y[1] (closed_form) 0.38308877584365875 y[1] (numeric) 0.3830887758436459 absolute error 1.2823075934420558e-14 relative error 3.3472857319249016e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.615661164972385 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6156611649723642 Order of pole (six term test) 0.9999999999996376 TOP MAIN SOLVE Loop x[1] -1.2699999999999703 y[1] (closed_form) 0.3827165218722603 y[1] (numeric) 0.3827165218722475 absolute error 1.2823075934420558e-14 relative error 3.3505415109046506e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6164467204334092 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6164467204334017 Order of pole (six term test) 0.999999999999865 TOP MAIN SOLVE Loop x[1] -1.2709999999999702 y[1] (closed_form) 0.38234469827460416 y[1] (numeric) 0.38234469827459133 absolute error 1.2823075934420558e-14 relative error 3.3537998544995867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6172325126585614 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.617232512658473 Order of pole (six term test) 0.999999999998451 TOP MAIN SOLVE Loop x[1] -1.27199999999997 y[1] (closed_form) 0.3819733046496958 y[1] (numeric) 0.3819733046496829 absolute error 1.2934098236883074e-14 relative error 3.3861262238587105e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6180185413028874 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6180185413028831 Order of pole (six term test) 0.9999999999999218 TOP MAIN SOLVE Loop x[1] -1.27299999999997 y[1] (closed_form) 0.3816023405961274 y[1] (numeric) 0.3816023405961145 absolute error 1.2934098236883074e-14 relative error 3.3894179518599975e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6188048060219995 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6188048060219848 Order of pole (six term test) 0.9999999999997442 TOP MAIN SOLVE Loop x[1] -1.2739999999999698 y[1] (closed_form) 0.3812318057120836 y[1] (numeric) 0.38123180571207055 absolute error 1.304512053934559e-14 relative error 3.4218342603863465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.619591306472075 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6195913064720797 Order of pole (six term test) 1.0000000000000782 TOP MAIN SOLVE Loop x[1] -1.2749999999999697 y[1] (closed_form) 0.3808616995953456 y[1] (numeric) 0.3808616995953326 absolute error 1.2989609388114332e-14 relative error 3.4105843149666694e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6203780423098564 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.620378042309829 Order of pole (six term test) 0.9999999999995168 TOP MAIN SOLVE Loop x[1] -1.2759999999999696 y[1] (closed_form) 0.3804920218432972 y[1] (numeric) 0.3804920218432841 absolute error 1.3100631690576847e-14 relative error 3.443076579401248e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6211650131926492 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6211650131926068 Order of pole (six term test) 0.9999999999992539 TOP MAIN SOLVE Loop x[1] -1.2769999999999695 y[1] (closed_form) 0.3801227720529289 y[1] (numeric) 0.3801227720529158 absolute error 1.3100631690576847e-14 relative error 3.4464211706718522e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6219522187783222 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6219522187782596 Order of pole (six term test) 0.9999999999988916 TOP MAIN SOLVE Loop x[1] -1.2779999999999694 y[1] (closed_form) 0.3797539498208434 y[1] (numeric) 0.3797539498208302 absolute error 1.3156142841808105e-14 relative error 3.4643860447046786e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6227396587253058 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6227396587252791 Order of pole (six term test) 0.9999999999995275 TOP MAIN SOLVE Loop x[1] -1.2789999999999693 y[1] (closed_form) 0.37938555474326024 y[1] (numeric) 0.37938555474324703 absolute error 1.3211653993039363e-14 relative error 3.482381927266583e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6235273326925916 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6235273326925816 Order of pole (six term test) 0.9999999999998224 TOP MAIN SOLVE Loop x[1] -1.2799999999999692 y[1] (closed_form) 0.37901758641602107 y[1] (numeric) 0.3790175864160078 absolute error 1.326716514427062e-14 relative error 3.5004088516642557e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6243152403397318 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6243152403397632 Order of pole (six term test) 1.0000000000005542 TOP MAIN SOLVE Loop x[1] -1.280999999999969 y[1] (closed_form) 0.37865004443459405 y[1] (numeric) 0.3786500444345808 absolute error 1.326716514427062e-14 relative error 3.5038065726577034e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6251033813268376 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.625103381326848 Order of pole (six term test) 1.0000000000001847 TOP MAIN SOLVE Loop x[1] -1.281999999999969 y[1] (closed_form) 0.37828292839407934 y[1] (numeric) 0.37828292839406596 absolute error 1.3378187446733136e-14 relative error 3.53655595919367e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6258917553145782 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6258917553145142 Order of pole (six term test) 0.9999999999988809 TOP MAIN SOLVE Loop x[1] -1.2829999999999688 y[1] (closed_form) 0.3779162378892132 y[1] (numeric) 0.3779162378891998 absolute error 1.3378187446733136e-14 relative error 3.5399874642737566e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6266803619641814 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6266803619641563 Order of pole (six term test) 0.9999999999995595 TOP MAIN SOLVE Loop x[1] -1.2839999999999687 y[1] (closed_form) 0.3775499725143734 y[1] (numeric) 0.37754997251436007 absolute error 1.3322676295501878e-14 relative error 3.528718650613776e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.627469200937431 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6274692009374132 Order of pole (six term test) 0.9999999999996838 TOP MAIN SOLVE Loop x[1] -1.2849999999999686 y[1] (closed_form) 0.37718413186358396 y[1] (numeric) 0.3771841318635705 absolute error 1.3433698597964394e-14 relative error 3.561575756538707e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6282582718966667 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6282582718966494 Order of pole (six term test) 0.9999999999996945 TOP MAIN SOLVE Loop x[1] -1.2859999999999685 y[1] (closed_form) 0.3768187155305195 y[1] (numeric) 0.376818715530506 absolute error 1.3489209749195652e-14 relative error 3.5797610875575334e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6290475745047837 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6290475745047466 Order of pole (six term test) 0.9999999999993392 TOP MAIN SOLVE Loop x[1] -1.2869999999999684 y[1] (closed_form) 0.37645372310851033 y[1] (numeric) 0.37645372310849684 absolute error 1.3489209749195652e-14 relative error 3.5832318612260014e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6298371084252312 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6298371084251753 Order of pole (six term test) 0.9999999999990159 TOP MAIN SOLVE Loop x[1] -1.2879999999999683 y[1] (closed_form) 0.37608915419054734 y[1] (numeric) 0.37608915419053374 absolute error 1.3600232051658168e-14 relative error 3.6162255412363066e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.630626873322011 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.630626873322016 Order of pole (six term test) 1.0000000000000782 TOP MAIN SOLVE Loop x[1] -1.2889999999999682 y[1] (closed_form) 0.37572500836928613 y[1] (numeric) 0.3757250083692725 absolute error 1.3655743202889425e-14 relative error 3.6345047305096346e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6314168688596786 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6314168688596362 Order of pole (six term test) 0.9999999999992504 TOP MAIN SOLVE Loop x[1] -1.289999999999968 y[1] (closed_form) 0.37536128523705226 y[1] (numeric) 0.37536128523703854 absolute error 1.3711254354120683e-14 relative error 3.652815272481178e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.63220709470334 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6322070947032998 Order of pole (six term test) 0.9999999999992895 TOP MAIN SOLVE Loop x[1] -1.290999999999968 y[1] (closed_form) 0.3749979843858456 y[1] (numeric) 0.3749979843858318 absolute error 1.3766765505351941e-14 relative error 3.6711572004576275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6329975505186518 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6329975505186187 Order of pole (six term test) 0.9999999999994138 TOP MAIN SOLVE Loop x[1] -1.2919999999999678 y[1] (closed_form) 0.37463510540734496 y[1] (numeric) 0.37463510540733114 absolute error 1.3822276656583199e-14 relative error 3.6895305477456746e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6337882359718217 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6337882359718034 Order of pole (six term test) 0.9999999999996803 TOP MAIN SOLVE Loop x[1] -1.2929999999999677 y[1] (closed_form) 0.3742726478929128 y[1] (numeric) 0.374272647892899 absolute error 1.3822276656583199e-14 relative error 3.693103606261401e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6345791507296048 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6345791507295397 Order of pole (six term test) 0.9999999999988454 TOP MAIN SOLVE Loop x[1] -1.2939999999999676 y[1] (closed_form) 0.3739106114336 y[1] (numeric) 0.37391061143358606 absolute error 1.3933298959045715e-14 relative error 3.726371633483321e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6353702944593056 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6353702944593198 Order of pole (six term test) 1.0000000000002416 TOP MAIN SOLVE Loop x[1] -1.2949999999999675 y[1] (closed_form) 0.37354899562014976 y[1] (numeric) 0.3735489956201358 absolute error 1.3933298959045715e-14 relative error 3.729978964583818e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6361616668287753 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.636161666828762 Order of pole (six term test) 0.9999999999997655 TOP MAIN SOLVE Loop x[1] -1.2959999999999674 y[1] (closed_form) 0.373187800043003 y[1] (numeric) 0.373187800042989 absolute error 1.3988810110276972e-14 relative error 3.748463939245876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.636953267506411 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.636953267506374 Order of pole (six term test) 0.9999999999993534 TOP MAIN SOLVE Loop x[1] -1.2969999999999673 y[1] (closed_form) 0.37282702429230224 y[1] (numeric) 0.3728270242922882 absolute error 1.404432126150823e-14 relative error 3.766980488650754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6377450961611564 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6377450961611666 Order of pole (six term test) 1.0000000000001847 TOP MAIN SOLVE Loop x[1] -1.2979999999999672 y[1] (closed_form) 0.3724666679578963 y[1] (numeric) 0.3724666679578822 absolute error 1.4099832412739488e-14 relative error 3.785528646105143e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.638537152462499 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6385371524624155 Order of pole (six term test) 0.9999999999985292 TOP MAIN SOLVE Loop x[1] -1.298999999999967 y[1] (closed_form) 0.37210673062934485 y[1] (numeric) 0.3721067306293307 absolute error 1.4155343563970746e-14 relative error 3.804108444915733e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6393294360804707 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6393294360804567 Order of pole (six term test) 0.9999999999997478 TOP MAIN SOLVE Loop x[1] -1.299999999999967 y[1] (closed_form) 0.37174721189592264 y[1] (numeric) 0.37174721189590854 absolute error 1.4099832412739488e-14 relative error 3.792854919026801e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6401219466856465 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.640121946685692 Order of pole (six term test) 1.0000000000007994 TOP MAIN SOLVE Loop x[1] -1.3009999999999668 y[1] (closed_form) 0.37138811134662436 y[1] (numeric) 0.3713881113466102 absolute error 1.4155343563970746e-14 relative error 3.811469223568997e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6409146839491424 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6409146839491688 Order of pole (six term test) 1.0000000000004619 TOP MAIN SOLVE Loop x[1] -1.3019999999999667 y[1] (closed_form) 0.3710294285701684 y[1] (numeric) 0.3710294285701542 absolute error 1.4210854715202004e-14 relative error 3.830115247183007e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6417076475426169 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6417076475426307 Order of pole (six term test) 1.0000000000002345 TOP MAIN SOLVE Loop x[1] -1.3029999999999666 y[1] (closed_form) 0.37067116315500176 y[1] (numeric) 0.37067116315498755 absolute error 1.4210854715202004e-14 relative error 3.833817174836317e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6425008371382686 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6425008371382936 Order of pole (six term test) 1.0000000000004405 TOP MAIN SOLVE Loop x[1] -1.3039999999999665 y[1] (closed_form) 0.3703133146893043 y[1] (numeric) 0.37031331468929 absolute error 1.426636586643326e-14 relative error 3.8525122647569e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6432942524088352 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6432942524087353 Order of pole (six term test) 0.9999999999982414 TOP MAIN SOLVE Loop x[1] -1.3049999999999664 y[1] (closed_form) 0.3699558827609928 y[1] (numeric) 0.36995588276097846 absolute error 1.432187701766452e-14 relative error 3.871239162567138e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6440878930275937 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6440878930276128 Order of pole (six term test) 1.0000000000003304 TOP MAIN SOLVE Loop x[1] -1.3059999999999663 y[1] (closed_form) 0.3695988669577254 y[1] (numeric) 0.36959886695771116 absolute error 1.426636586643326e-14 relative error 3.859959307739178e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6448817586683586 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6448817586682827 Order of pole (six term test) 0.9999999999986677 TOP MAIN SOLVE Loop x[1] -1.3069999999999662 y[1] (closed_form) 0.3692422668669065 y[1] (numeric) 0.36924226686689215 absolute error 1.432187701766452e-14 relative error 3.878720911121165e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6456758490054813 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6456758490054328 Order of pole (six term test) 0.9999999999991473 TOP MAIN SOLVE Loop x[1] -1.307999999999966 y[1] (closed_form) 0.3688860820756898 y[1] (numeric) 0.3688860820756754 absolute error 1.4377388168895777e-14 relative error 3.897514400108421e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6464701637138497 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.646470163713937 Order of pole (six term test) 1.0000000000015277 TOP MAIN SOLVE Loop x[1] -1.308999999999966 y[1] (closed_form) 0.36853031217098364 y[1] (numeric) 0.3685303121709692 absolute error 1.4432899320127035e-14 relative error 3.916339808007634e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6472647024688871 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6472647024690314 Order of pole (six term test) 1.0000000000025295 TOP MAIN SOLVE Loop x[1] -1.3099999999999659 y[1] (closed_form) 0.3681749567394548 y[1] (numeric) 0.36817495673944023 absolute error 1.454392162258955e-14 relative error 3.950274551911417e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6480594649465505 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6480594649464 Order of pole (six term test) 0.9999999999973568 TOP MAIN SOLVE Loop x[1] -1.3109999999999657 y[1] (closed_form) 0.3678200153675324 y[1] (numeric) 0.36782001536751785 absolute error 1.454392162258955e-14 relative error 3.954086513768698e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6488544508233316 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6488544508234473 Order of pole (six term test) 1.000000000002025 TOP MAIN SOLVE Loop x[1] -1.3119999999999656 y[1] (closed_form) 0.3674654876414129 y[1] (numeric) 0.3674654876413983 absolute error 1.459943277382081e-14 relative error 3.97300787824393e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6496496597762538 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.649649659776325 Order of pole (six term test) 1.0000000000012506 TOP MAIN SOLVE Loop x[1] -1.3129999999999655 y[1] (closed_form) 0.3671113731470634 y[1] (numeric) 0.3671113731470488 absolute error 1.459943277382081e-14 relative error 3.9768402293470574e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6504450914828732 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6504450914830016 Order of pole (six term test) 1.0000000000022489 TOP MAIN SOLVE Loop x[1] -1.3139999999999654 y[1] (closed_form) 0.36675767147022637 y[1] (numeric) 0.36675767147021165 absolute error 1.4710455076283324e-14 relative error 4.010946796917247e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6512407456212765 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6512407456215117 Order of pole (six term test) 1.0000000000041283 TOP MAIN SOLVE Loop x[1] -1.3149999999999653 y[1] (closed_form) 0.3664043821964233 y[1] (numeric) 0.3664043821964086 absolute error 1.4710455076283324e-14 relative error 4.014814175556802e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.652036621870081 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6520366218700588 Order of pole (six term test) 0.9999999999996056 TOP MAIN SOLVE Loop x[1] -1.3159999999999652 y[1] (closed_form) 0.3660515049109593 y[1] (numeric) 0.3660515049109445 absolute error 1.4765966227514582e-14 relative error 4.033849343443172e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.652832719908433 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.652832719908933 Order of pole (six term test) 1.0000000000087717 TOP MAIN SOLVE Loop x[1] -1.316999999999965 y[1] (closed_form) 0.3656990391989266 y[1] (numeric) 0.36569903919891183 absolute error 1.4765966227514582e-14 relative error 4.037737222350876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6536290394160076 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6536290394159785 Order of pole (six term test) 0.999999999999492 TOP MAIN SOLVE Loop x[1] -1.317999999999965 y[1] (closed_form) 0.36534698464520926 y[1] (numeric) 0.36534698464519444 absolute error 1.482147737874584e-14 relative error 4.0568221448820955e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6544255800730077 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6544255800732954 Order of pole (six term test) 1.0000000000050484 TOP MAIN SOLVE Loop x[1] -1.3189999999999649 y[1] (closed_form) 0.3649953408344866 y[1] (numeric) 0.36499534083447177 absolute error 1.482147737874584e-14 relative error 4.060730568466871e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6552223415601626 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6552223415598075 Order of pole (six term test) 0.9999999999937614 TOP MAIN SOLVE Loop x[1] -1.3199999999999648 y[1] (closed_form) 0.3646441073512376 y[1] (numeric) 0.3646441073512227 absolute error 1.4876988529977098e-14 relative error 4.079865334460781e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.656019323558728 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6560193235586762 Order of pole (six term test) 0.9999999999990905 TOP MAIN SOLVE Loop x[1] -1.3209999999999646 y[1] (closed_form) 0.3642932837797447 y[1] (numeric) 0.36429328377972975 absolute error 1.4932499681208355e-14 relative error 4.099032385740247e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6568165257504845 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6568165257503193 Order of pole (six term test) 0.9999999999970974 TOP MAIN SOLVE Loop x[1] -1.3219999999999645 y[1] (closed_form) 0.3639428697040977 y[1] (numeric) 0.3639428697040828 absolute error 1.4932499681208355e-14 relative error 4.1029790454059905e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6576139478177379 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6576139478177794 Order of pole (six term test) 1.0000000000007283 TOP MAIN SOLVE Loop x[1] -1.3229999999999644 y[1] (closed_form) 0.3635928647081983 y[1] (numeric) 0.36359286470818325 absolute error 1.504352198367087e-14 relative error 4.1374634773826106e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.658411589443316 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6584115894432587 Order of pole (six term test) 0.9999999999989839 TOP MAIN SOLVE Loop x[1] -1.3239999999999643 y[1] (closed_form) 0.363243268375763 y[1] (numeric) 0.3632432683757479 absolute error 1.509903313490213e-14 relative error 4.156727584358889e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6592094503105703 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6592094503105106 Order of pole (six term test) 0.9999999999989484 TOP MAIN SOLVE Loop x[1] -1.3249999999999642 y[1] (closed_form) 0.36289408029032777 y[1] (numeric) 0.36289408029031267 absolute error 1.509903313490213e-14 relative error 4.160727318236325e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6600075301033743 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6600075301033523 Order of pole (six term test) 0.9999999999996092 TOP MAIN SOLVE Loop x[1] -1.325999999999964 y[1] (closed_form) 0.362545300035252 y[1] (numeric) 0.3625453000352368 absolute error 1.5210055437364645e-14 relative error 4.1953530871550944e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6608058285061214 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6608058285059712 Order of pole (six term test) 0.9999999999973568 TOP MAIN SOLVE Loop x[1] -1.326999999999964 y[1] (closed_form) 0.3621969271937216 y[1] (numeric) 0.36219692719370644 absolute error 1.5154544286133387e-14 relative error 4.184062080136852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6616043452037264 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6616043452037774 Order of pole (six term test) 1.0000000000009024 TOP MAIN SOLVE Loop x[1] -1.3279999999999639 y[1] (closed_form) 0.36184896134875394 y[1] (numeric) 0.3618489613487387 absolute error 1.5265566588595902e-14 relative error 4.218767557517675e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6624030798816225 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.662403079881698 Order of pole (six term test) 1.0000000000013252 TOP MAIN SOLVE Loop x[1] -1.3289999999999638 y[1] (closed_form) 0.3615014020832006 y[1] (numeric) 0.3615014020831853 absolute error 1.5265566588595902e-14 relative error 4.222823618560265e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6632020322257617 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.663202032225732 Order of pole (six term test) 0.9999999999994706 TOP MAIN SOLVE Loop x[1] -1.3299999999999637 y[1] (closed_form) 0.36115424897975185 y[1] (numeric) 0.3611542489797366 absolute error 1.5265566588595902e-14 relative error 4.226882732716172e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6640012019226138 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6640012019226598 Order of pole (six term test) 1.0000000000008065 TOP MAIN SOLVE Loop x[1] -1.3309999999999635 y[1] (closed_form) 0.36080750162094033 y[1] (numeric) 0.360807501620925 absolute error 1.532107773982716e-14 relative error 4.246330154167162e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6648005886591652 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6648005886592883 Order of pole (six term test) 1.0000000000021636 TOP MAIN SOLVE Loop x[1] -1.3319999999999634 y[1] (closed_form) 0.3604611595891446 y[1] (numeric) 0.3604611595891292 absolute error 1.5376588891058418e-14 relative error 4.265810193970615e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6656001921229184 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6656001921229018 Order of pole (six term test) 0.9999999999997087 TOP MAIN SOLVE Loop x[1] -1.3329999999999633 y[1] (closed_form) 0.3601152224665931 y[1] (numeric) 0.3601152224665777 absolute error 1.5432100042289676e-14 relative error 4.285322885433223e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.666400012001891 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6664000120018858 Order of pole (six term test) 0.9999999999999076 TOP MAIN SOLVE Loop x[1] -1.3339999999999632 y[1] (closed_form) 0.3597696898353677 y[1] (numeric) 0.35976968983535224 absolute error 1.5487611193520934e-14 relative error 4.304868261861675e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6672000479846147 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6672000479845512 Order of pole (six term test) 0.9999999999988809 TOP MAIN SOLVE Loop x[1] -1.334999999999963 y[1] (closed_form) 0.3594245612774076 y[1] (numeric) 0.3594245612773921 absolute error 1.5487611193520934e-14 relative error 4.309001905289226e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6680002997601355 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6680002997601275 Order of pole (six term test) 0.9999999999998614 TOP MAIN SOLVE Loop x[1] -1.335999999999963 y[1] (closed_form) 0.3590798363745129 y[1] (numeric) 0.35907983637449736 absolute error 1.554312234475219e-14 relative error 4.328597924540947e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6688007670180107 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6688007670179315 Order of pole (six term test) 0.9999999999985967 TOP MAIN SOLVE Loop x[1] -1.3369999999999629 y[1] (closed_form) 0.35873551470834825 y[1] (numeric) 0.35873551470833265 absolute error 1.559863349598345e-14 relative error 4.348226717576354e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.669601449448311 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6696014494483404 Order of pole (six term test) 1.0000000000005151 TOP MAIN SOLVE Loop x[1] -1.3379999999999628 y[1] (closed_form) 0.3583915958604465 y[1] (numeric) 0.3583915958604309 absolute error 1.559863349598345e-14 relative error 4.352399352036529e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6704023467416167 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.670402346741563 Order of pole (six term test) 0.999999999999055 TOP MAIN SOLVE Loop x[1] -1.3389999999999627 y[1] (closed_form) 0.3580480794122124 y[1] (numeric) 0.3580480794121968 absolute error 1.559863349598345e-14 relative error 4.356575106223404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6712034585890194 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.671203458589006 Order of pole (six term test) 0.999999999999762 TOP MAIN SOLVE Loop x[1] -1.3399999999999626 y[1] (closed_form) 0.35770496494492626 y[1] (numeric) 0.3577049649449106 absolute error 1.5654144647214707e-14 relative error 4.376272677575187e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6720047846821193 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6720047846821304 Order of pole (six term test) 1.0000000000001883 TOP MAIN SOLVE Loop x[1] -1.3409999999999624 y[1] (closed_form) 0.3573622520397473 y[1] (numeric) 0.35736225203973154 absolute error 1.5765166949677223e-14 relative error 4.411536713710814e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6728063247130252 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6728063247130294 Order of pole (six term test) 1.000000000000071 TOP MAIN SOLVE Loop x[1] -1.3419999999999623 y[1] (closed_form) 0.3570199402777172 y[1] (numeric) 0.3570199402777015 absolute error 1.5709655798445965e-14 relative error 4.400218034383682e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6736080783743543 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6736080783743574 Order of pole (six term test) 1.0000000000000497 TOP MAIN SOLVE Loop x[1] -1.3429999999999622 y[1] (closed_form) 0.3566780292397644 y[1] (numeric) 0.35667802923974856 absolute error 1.582067810090848e-14 relative error 4.435562833693236e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.67441004535923 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.674410045359282 Order of pole (six term test) 1.000000000000913 TOP MAIN SOLVE Loop x[1] -1.3439999999999621 y[1] (closed_form) 0.35633651850670633 y[1] (numeric) 0.3563365185066905 absolute error 1.582067810090848e-14 relative error 4.4398138498989495e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6752122253612818 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6752122253612047 Order of pole (six term test) 0.9999999999986429 TOP MAIN SOLVE Loop x[1] -1.344999999999962 y[1] (closed_form) 0.35599540765925414 y[1] (numeric) 0.35599540765923826 absolute error 1.587618925213974e-14 relative error 4.459661251399021e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.676014618074645 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6760146180746165 Order of pole (six term test) 0.9999999999995026 TOP MAIN SOLVE Loop x[1] -1.345999999999962 y[1] (closed_form) 0.35565469627801544 y[1] (numeric) 0.3556546962779995 absolute error 1.5931700403370996e-14 relative error 4.479541693136305e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6768172231939584 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.676817223193928 Order of pole (six term test) 0.99999999999946 TOP MAIN SOLVE Loop x[1] -1.3469999999999618 y[1] (closed_form) 0.35531438394349807 y[1] (numeric) 0.35531438394348214 absolute error 1.5931700403370996e-14 relative error 4.483832100054933e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6776200404143655 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6776200404143504 Order of pole (six term test) 0.9999999999997264 TOP MAIN SOLVE Loop x[1] -1.3479999999999617 y[1] (closed_form) 0.35497447023611367 y[1] (numeric) 0.35497447023609763 absolute error 1.6042722705833512e-14 relative error 4.519401830549275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6784230694315114 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.678423069431476 Order of pole (six term test) 0.9999999999993676 TOP MAIN SOLVE Loop x[1] -1.3489999999999616 y[1] (closed_form) 0.3546349547361806 y[1] (numeric) 0.3546349547361645 absolute error 1.609823385706477e-14 relative error 4.539381592838342e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6792263099415445 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6792263099414357 Order of pole (six term test) 0.999999999998078 TOP MAIN SOLVE Loop x[1] -1.3499999999999615 y[1] (closed_form) 0.35429583702392803 y[1] (numeric) 0.35429583702391193 absolute error 1.609823385706477e-14 relative error 4.543726506156364e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6800297616411133 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6800297616411828 Order of pole (six term test) 1.0000000000012257 TOP MAIN SOLVE Loop x[1] -1.3509999999999613 y[1] (closed_form) 0.3539571166794989 y[1] (numeric) 0.35395711667948276 absolute error 1.6153745008296028e-14 relative error 4.563757655118125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6808334242273668 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6808334242274132 Order of pole (six term test) 1.00000000000081 TOP MAIN SOLVE Loop x[1] -1.3519999999999612 y[1] (closed_form) 0.35361879328295337 y[1] (numeric) 0.3536187932829372 absolute error 1.6153745008296028e-14 relative error 4.568124012393868e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.681637297397954 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6816372973979279 Order of pole (six term test) 0.9999999999995381 TOP MAIN SOLVE Loop x[1] -1.3529999999999611 y[1] (closed_form) 0.35328086641427237 y[1] (numeric) 0.35328086641425616 absolute error 1.6209256159527285e-14 relative error 4.588206636846167e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6824413808510224 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6824413808509442 Order of pole (six term test) 0.999999999998618 TOP MAIN SOLVE Loop x[1] -1.353999999999961 y[1] (closed_form) 0.3529433356533607 y[1] (numeric) 0.3529433356533444 absolute error 1.63202784619898e-14 relative error 4.6240506090809364e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6832456742852169 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6832456742852233 Order of pole (six term test) 1.0000000000001101 TOP MAIN SOLVE Loop x[1] -1.354999999999961 y[1] (closed_form) 0.3526062005800504 y[1] (numeric) 0.35260620058003406 absolute error 1.63202784619898e-14 relative error 4.6284717725162894e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.68405017739968 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6840501773996914 Order of pole (six term test) 1.0000000000001954 TOP MAIN SOLVE Loop x[1] -1.3559999999999608 y[1] (closed_form) 0.35226946077410426 y[1] (numeric) 0.35226946077408783 absolute error 1.6431300764452317e-14 relative error 4.6644125006876554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6848548898940505 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6848548898940723 Order of pole (six term test) 1.000000000000373 TOP MAIN SOLVE Loop x[1] -1.3569999999999607 y[1] (closed_form) 0.35193311581521874 y[1] (numeric) 0.35193311581520237 absolute error 1.637578961322106e-14 relative error 4.653097102069562e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6856598114684627 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6856598114685253 Order of pole (six term test) 1.000000000001105 TOP MAIN SOLVE Loop x[1] -1.3579999999999606 y[1] (closed_form) 0.35159716528302787 y[1] (numeric) 0.35159716528301144 absolute error 1.6431300764452317e-14 relative error 4.6733314107426e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.686464941823545 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6864649418235624 Order of pole (six term test) 1.000000000000302 TOP MAIN SOLVE Loop x[1] -1.3589999999999605 y[1] (closed_form) 0.3512616087571057 y[1] (numeric) 0.3512616087570892 absolute error 1.6486811915683575e-14 relative error 4.693599159333139e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6872702806604198 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6872702806603717 Order of pole (six term test) 0.9999999999991438 TOP MAIN SOLVE Loop x[1] -1.3599999999999604 y[1] (closed_form) 0.35092644581697 y[1] (numeric) 0.3509264458169536 absolute error 1.6431300764452317e-14 relative error 4.6822634658381555e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6880758276807035 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6880758276808163 Order of pole (six term test) 1.0000000000019789 TOP MAIN SOLVE Loop x[1] -1.3609999999999602 y[1] (closed_form) 0.35059167604208574 y[1] (numeric) 0.3505916760420692 absolute error 1.6542323066914832e-14 relative error 4.718401547254379e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6888815825865031 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6888815825865844 Order of pole (six term test) 1.0000000000014246 TOP MAIN SOLVE Loop x[1] -1.3619999999999601 y[1] (closed_form) 0.3502572990118675 y[1] (numeric) 0.3502572990118509 absolute error 1.659783421814609e-14 relative error 4.738754699751088e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6896875450804185 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6896875450804092 Order of pole (six term test) 0.9999999999998366 TOP MAIN SOLVE Loop x[1] -1.36299999999996 y[1] (closed_form) 0.34992331430568324 y[1] (numeric) 0.34992331430566664 absolute error 1.659783421814609e-14 relative error 4.743277609575533e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6904937148655392 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6904937148655437 Order of pole (six term test) 1.0000000000000746 TOP MAIN SOLVE Loop x[1] -1.36399999999996 y[1] (closed_form) 0.3495897215028576 y[1] (numeric) 0.34958972150284096 absolute error 1.6653345369377348e-14 relative error 4.763682781572061e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.691300091645445 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6913000916455099 Order of pole (six term test) 1.0000000000011404 TOP MAIN SOLVE Loop x[1] -1.3649999999999598 y[1] (closed_form) 0.34925652018267456 y[1] (numeric) 0.34925652018265785 absolute error 1.6708856520608606e-14 relative error 4.784121571121774e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6921066751242044 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6921066751241778 Order of pole (six term test) 0.9999999999995275 TOP MAIN SOLVE Loop x[1] -1.3659999999999597 y[1] (closed_form) 0.34892370992438076 y[1] (numeric) 0.34892370992436395 absolute error 1.6819878823071122e-14 relative error 4.820503263225176e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6929134650063746 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.69291346500638 Order of pole (six term test) 1.0000000000000888 TOP MAIN SOLVE Loop x[1] -1.3669999999999596 y[1] (closed_form) 0.34859129030718855 y[1] (numeric) 0.3485912903071718 absolute error 1.6764367671839864e-14 relative error 4.809175713216078e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6937204609969998 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.693720460996945 Order of pole (six term test) 0.9999999999990301 TOP MAIN SOLVE Loop x[1] -1.3679999999999595 y[1] (closed_form) 0.3482592609102796 y[1] (numeric) 0.3482592609102627 absolute error 1.687538997430238e-14 relative error 4.845639978156936e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6945276628016106 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6945276628016364 Order of pole (six term test) 1.0000000000004476 TOP MAIN SOLVE Loop x[1] -1.3689999999999594 y[1] (closed_form) 0.34792762131280697 y[1] (numeric) 0.3479276213127901 absolute error 1.687538997430238e-14 relative error 4.850258772392903e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.695335070126224 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6953350701261625 Order of pole (six term test) 0.9999999999989093 TOP MAIN SOLVE Loop x[1] -1.3699999999999593 y[1] (closed_form) 0.3475963710938993 y[1] (numeric) 0.3475963710938823 absolute error 1.6986412276764895e-14 relative error 4.886820947902303e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6961426826773414 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6961426826773374 Order of pole (six term test) 0.9999999999999218 TOP MAIN SOLVE Loop x[1] -1.3709999999999591 y[1] (closed_form) 0.3472655098326628 y[1] (numeric) 0.3472655098326458 absolute error 1.6986412276764895e-14 relative error 4.891476923507364e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6969505001619487 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6969505001617804 Order of pole (six term test) 0.9999999999970299 TOP MAIN SOLVE Loop x[1] -1.371999999999959 y[1] (closed_form) 0.34693503710818513 y[1] (numeric) 0.3469350371081681 absolute error 1.7041923427996153e-14 relative error 4.912136741807934e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6977585222875151 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6977585222875895 Order of pole (six term test) 1.0000000000013038 TOP MAIN SOLVE Loop x[1] -1.372999999999959 y[1] (closed_form) 0.3466049524995378 y[1] (numeric) 0.3466049524995208 absolute error 1.7041923427996153e-14 relative error 4.916814749788919e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6985667487619929 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.698566748762197 Order of pole (six term test) 1.000000000003599 TOP MAIN SOLVE Loop x[1] -1.3739999999999588 y[1] (closed_form) 0.34627525558577976 y[1] (numeric) 0.3462752555857626 absolute error 1.715294573045867e-14 relative error 4.953558030429211e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6993751792938152 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6993751792941274 Order of pole (six term test) 1.000000000005496 TOP MAIN SOLVE Loop x[1] -1.3749999999999587 y[1] (closed_form) 0.34594594594595957 y[1] (numeric) 0.3459459459459424 absolute error 1.715294573045867e-14 relative error 4.958273375210513e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.700183813591897 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7001838135919005 Order of pole (six term test) 1.0000000000000604 TOP MAIN SOLVE Loop x[1] -1.3759999999999586 y[1] (closed_form) 0.3456170231591191 y[1] (numeric) 0.3456170231591019 absolute error 1.715294573045867e-14 relative error 4.962992150580963e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.700992651365633 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7009926513660971 Order of pole (six term test) 1.000000000008182 TOP MAIN SOLVE Loop x[1] -1.3769999999999585 y[1] (closed_form) 0.3452884868042962 y[1] (numeric) 0.345288486804279 absolute error 1.7208456881689926e-14 relative error 4.983791102030979e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7018016923248978 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7018016923263086 Order of pole (six term test) 1.000000000024876 TOP MAIN SOLVE Loop x[1] -1.3779999999999584 y[1] (closed_form) 0.34496033646052743 y[1] (numeric) 0.3449603364605102 absolute error 1.7208456881689926e-14 relative error 4.988532031901885e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7026109361800439 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7026109361800696 Order of pole (six term test) 1.0000000000004512 TOP MAIN SOLVE Loop x[1] -1.3789999999999583 y[1] (closed_form) 0.34463257170685124 y[1] (numeric) 0.34463257170683403 absolute error 1.7208456881689926e-14 relative error 4.993276403464167e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7034203826419023 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.703420382641644 Order of pole (six term test) 0.9999999999954383 TOP MAIN SOLVE Loop x[1] -1.3799999999999581 y[1] (closed_form) 0.3443051921223109 y[1] (numeric) 0.3443051921222936 absolute error 1.7319479184152442e-14 relative error 5.030269534245035e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7042300314217809 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7042300314216001 Order of pole (six term test) 0.9999999999968026 TOP MAIN SOLVE Loop x[1] -1.380999999999958 y[1] (closed_form) 0.34397819728595697 y[1] (numeric) 0.3439781972859396 absolute error 1.73749903353837e-14 relative error 5.05118942784024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7050398822314639 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7050398822315591 Order of pole (six term test) 1.0000000000016733 TOP MAIN SOLVE Loop x[1] -1.381999999999958 y[1] (closed_form) 0.3436515867768505 y[1] (numeric) 0.3436515867768331 absolute error 1.73749903353837e-14 relative error 5.055990137669906e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7058499347832106 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.705849934783347 Order of pole (six term test) 1.0000000000024016 TOP MAIN SOLVE Loop x[1] -1.3829999999999578 y[1] (closed_form) 0.343325360174066 y[1] (numeric) 0.3433253601740485 absolute error 1.7486012637846216e-14 relative error 5.093131666411361e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7066601887897552 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7066601887898252 Order of pole (six term test) 1.0000000000012292 TOP MAIN SOLVE Loop x[1] -1.3839999999999577 y[1] (closed_form) 0.34299951705669374 y[1] (numeric) 0.34299951705667625 absolute error 1.7486012637846216e-14 relative error 5.097970046108253e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7074706439643064 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7074706439642833 Order of pole (six term test) 0.9999999999995985 TOP MAIN SOLVE Loop x[1] -1.3849999999999576 y[1] (closed_form) 0.3426740570038432 y[1] (numeric) 0.34267405700382564 absolute error 1.7541523789077473e-14 relative error 5.119011325937855e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7082813000205448 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7082813000206114 Order of pole (six term test) 1.0000000000011688 TOP MAIN SOLVE Loop x[1] -1.3859999999999575 y[1] (closed_form) 0.3423489795946452 y[1] (numeric) 0.3423489795946277 absolute error 1.7541523789077473e-14 relative error 5.123872082179807e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7090921566726245 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7090921566726043 Order of pole (six term test) 0.9999999999996376 TOP MAIN SOLVE Loop x[1] -1.3869999999999574 y[1] (closed_form) 0.3420242844082554 y[1] (numeric) 0.3420242844082378 absolute error 1.759703494030873e-14 relative error 5.144966525038944e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.70990321363517 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7099032136352692 Order of pole (six term test) 1.0000000000017408 TOP MAIN SOLVE Loop x[1] -1.3879999999999573 y[1] (closed_form) 0.3416999710238563 y[1] (numeric) 0.3416999710238387 absolute error 1.759703494030873e-14 relative error 5.149849702234879e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7107144706232777 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7107144706232371 Order of pole (six term test) 0.9999999999992788 TOP MAIN SOLVE Loop x[1] -1.3889999999999572 y[1] (closed_form) 0.34137603902066066 y[1] (numeric) 0.341376039020643 absolute error 1.765254609153999e-14 relative error 5.1709973969413904e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7115259273525134 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.711525927352544 Order of pole (six term test) 1.0000000000005365 TOP MAIN SOLVE Loop x[1] -1.389999999999957 y[1] (closed_form) 0.34105248797791365 y[1] (numeric) 0.341052487977896 absolute error 1.765254609153999e-14 relative error 5.17590303950023e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.712337583538912 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.712337583538923 Order of pole (six term test) 1.0000000000001847 TOP MAIN SOLVE Loop x[1] -1.390999999999957 y[1] (closed_form) 0.3407293174748962 y[1] (numeric) 0.34072931747487845 absolute error 1.7763568394002505e-14 relative error 5.213395937175634e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.713149438898977 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7131494388990314 Order of pole (six term test) 1.0000000000009486 TOP MAIN SOLVE Loop x[1] -1.3919999999999568 y[1] (closed_form) 0.34040652709092695 y[1] (numeric) 0.3404065270909092 absolute error 1.7763568394002505e-14 relative error 5.2183395382596845e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7139614931496798 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.713961493149673 Order of pole (six term test) 0.9999999999998721 TOP MAIN SOLVE Loop x[1] -1.3929999999999567 y[1] (closed_form) 0.3400841164053657 y[1] (numeric) 0.3400841164053478 absolute error 1.787459069646502e-14 relative error 5.255932233882771e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.714773746008458 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7147737460085295 Order of pole (six term test) 1.0000000000012612 TOP MAIN SOLVE Loop x[1] -1.3939999999999566 y[1] (closed_form) 0.33976208499761523 y[1] (numeric) 0.33976208499759736 absolute error 1.787459069646502e-14 relative error 5.260913882309876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7155861971932156 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.715586197193211 Order of pole (six term test) 0.9999999999999112 TOP MAIN SOLVE Loop x[1] -1.3949999999999565 y[1] (closed_form) 0.3394404324471249 y[1] (numeric) 0.339440432447107 absolute error 1.7930101847696278e-14 relative error 5.282252829585725e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7163988464223223 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7163988464223126 Order of pole (six term test) 0.9999999999998224 TOP MAIN SOLVE Loop x[1] -1.3959999999999564 y[1] (closed_form) 0.33911915833339257 y[1] (numeric) 0.3391191583333746 absolute error 1.7985612998927536e-14 relative error 5.303626338104331e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7172116934146116 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7172116934146215 Order of pole (six term test) 1.000000000000167 TOP MAIN SOLVE Loop x[1] -1.3969999999999563 y[1] (closed_form) 0.3387982622359674 y[1] (numeric) 0.33879826223594933 absolute error 1.8041124150158794e-14 relative error 5.325034441172384e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7180247378893814 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7180247378893667 Order of pole (six term test) 0.9999999999997371 TOP MAIN SOLVE Loop x[1] -1.3979999999999562 y[1] (closed_form) 0.3384777437344525 y[1] (numeric) 0.33847774373443446 absolute error 1.8041124150158794e-14 relative error 5.330076935372354e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7188379795663924 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7188379795664117 Order of pole (six term test) 1.0000000000003268 TOP MAIN SOLVE Loop x[1] -1.398999999999956 y[1] (closed_form) 0.3381576024085078 y[1] (numeric) 0.3381576024084897 absolute error 1.8096635301390052e-14 relative error 5.351538800990374e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7196514181658669 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7196514181658202 Order of pole (six term test) 0.9999999999991758 TOP MAIN SOLVE Loop x[1] -1.399999999999956 y[1] (closed_form) 0.33783783783785193 y[1] (numeric) 0.3378378378378338 absolute error 1.815214645262131e-14 relative error 5.373035349975684e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7204650534084895 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7204650534084989 Order of pole (six term test) 1.000000000000167 TOP MAIN SOLVE Loop x[1] -1.4009999999999558 y[1] (closed_form) 0.33751844960226546 y[1] (numeric) 0.3375184496022473 absolute error 1.815214645262131e-14 relative error 5.378119766197063e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.721278885015405 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7212788850154264 Order of pole (six term test) 1.0000000000003695 TOP MAIN SOLVE Loop x[1] -1.4019999999999557 y[1] (closed_form) 0.33719943728159324 y[1] (numeric) 0.337199437281575 absolute error 1.8263168755083825e-14 relative error 5.416132631274933e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7220929127082185 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.722092912708229 Order of pole (six term test) 1.0000000000001812 TOP MAIN SOLVE Loop x[1] -1.4029999999999556 y[1] (closed_form) 0.3368808004557465 y[1] (numeric) 0.33688080045572827 absolute error 1.8207657603852567e-14 relative error 5.404777470019213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7229071362089936 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.722907136209029 Order of pole (six term test) 1.0000000000006182 TOP MAIN SOLVE Loop x[1] -1.4039999999999555 y[1] (closed_form) 0.33656253870470615 y[1] (numeric) 0.33656253870468783 absolute error 1.8318679906315083e-14 relative error 5.442875483651958e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7237215552402525 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7237215552403042 Order of pole (six term test) 1.0000000000009095 TOP MAIN SOLVE Loop x[1] -1.4049999999999554 y[1] (closed_form) 0.3362446516085245 y[1] (numeric) 0.3362446516085062 absolute error 1.8318679906315083e-14 relative error 5.448021200837642e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7245361695249755 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7245361695249841 Order of pole (six term test) 1.0000000000001528 TOP MAIN SOLVE Loop x[1] -1.4059999999999553 y[1] (closed_form) 0.33592713874732844 y[1] (numeric) 0.3359271387473101 absolute error 1.8318679906315083e-14 relative error 5.4531705817593066e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7253509787865988 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.725350978786585 Order of pole (six term test) 0.9999999999997584 TOP MAIN SOLVE Loop x[1] -1.4069999999999552 y[1] (closed_form) 0.33560999970132127 y[1] (numeric) 0.33560999970130295 absolute error 1.8318679906315083e-14 relative error 5.458323626416953e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7261659827490154 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7261659827490277 Order of pole (six term test) 1.000000000000206 TOP MAIN SOLVE Loop x[1] -1.407999999999955 y[1] (closed_form) 0.3352932340507857 y[1] (numeric) 0.3352932340507673 absolute error 1.84297022087776e-14 relative error 5.496592336839734e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7269811811365732 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.726981181136561 Order of pole (six term test) 0.9999999999997833 TOP MAIN SOLVE Loop x[1] -1.408999999999955 y[1] (closed_form) 0.3349768413760857 y[1] (numeric) 0.33497684137606726 absolute error 1.84297022087776e-14 relative error 5.501783983951946e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.727796573674075 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7277965736741445 Order of pole (six term test) 1.0000000000012186 TOP MAIN SOLVE Loop x[1] -1.4099999999999548 y[1] (closed_form) 0.3346608212576696 y[1] (numeric) 0.3346608212576511 absolute error 1.8485213360008856e-14 relative error 5.523566604104011e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.728612160086777 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.728612160086806 Order of pole (six term test) 1.000000000000508 TOP MAIN SOLVE Loop x[1] -1.4109999999999547 y[1] (closed_form) 0.33434517327607205 y[1] (numeric) 0.3343451732760535 absolute error 1.8540724511240114e-14 relative error 5.545384229588043e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7294279401003883 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7294279401003898 Order of pole (six term test) 1.0000000000000213 TOP MAIN SOLVE Loop x[1] -1.4119999999999546 y[1] (closed_form) 0.3340298970119165 y[1] (numeric) 0.3340298970118979 absolute error 1.8596235662471372e-14 relative error 5.56723689371073e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7302439134410708 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7302439134411634 Order of pole (six term test) 1.0000000000016342 TOP MAIN SOLVE Loop x[1] -1.4129999999999545 y[1] (closed_form) 0.3337149920459175 y[1] (numeric) 0.3337149920458989 absolute error 1.8596235662471372e-14 relative error 5.572490330285378e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7310600798354374 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7310600798354794 Order of pole (six term test) 1.0000000000007283 TOP MAIN SOLVE Loop x[1] -1.4139999999999544 y[1] (closed_form) 0.3334004579588834 y[1] (numeric) 0.33340045795886475 absolute error 1.865174681370263e-14 relative error 5.594397478603001e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7318764390105523 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7318764390105685 Order of pole (six term test) 1.0000000000002878 TOP MAIN SOLVE Loop x[1] -1.4149999999999543 y[1] (closed_form) 0.3330862943317184 y[1] (numeric) 0.3330862943316997 absolute error 1.8707257964933888e-14 relative error 5.616339754377122e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7326929906939286 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7326929906939204 Order of pole (six term test) 0.9999999999998508 TOP MAIN SOLVE Loop x[1] -1.4159999999999542 y[1] (closed_form) 0.3327725007454248 y[1] (numeric) 0.3327725007454061 absolute error 1.8707257964933888e-14 relative error 5.6216357791069936e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7335097346135298 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.733509734613535 Order of pole (six term test) 1.0000000000000888 TOP MAIN SOLVE Loop x[1] -1.416999999999954 y[1] (closed_form) 0.3324590767811057 y[1] (numeric) 0.332459076781087 absolute error 1.8707257964933888e-14 relative error 5.626935545288459e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.734326670497767 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7343266704978242 Order of pole (six term test) 1.0000000000010019 TOP MAIN SOLVE Loop x[1] -1.417999999999954 y[1] (closed_form) 0.33214602201996707 y[1] (numeric) 0.3321460220199483 absolute error 1.8762769116165146e-14 relative error 5.648951928449474e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7351437980754993 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7351437980755384 Order of pole (six term test) 1.0000000000006786 TOP MAIN SOLVE Loop x[1] -1.4189999999999539 y[1] (closed_form) 0.33183333604332 y[1] (numeric) 0.3318333360433012 absolute error 1.8818280267396403e-14 relative error 5.671003550089291e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7359611170760332 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.735961117076059 Order of pole (six term test) 1.0000000000004547 TOP MAIN SOLVE Loop x[1] -1.4199999999999537 y[1] (closed_form) 0.3315210184325831 y[1] (numeric) 0.3315210184325642 absolute error 1.887379141862766e-14 relative error 5.693090443514599e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7367786272291206 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7367786272291563 Order of pole (six term test) 1.0000000000006253 TOP MAIN SOLVE Loop x[1] -1.4209999999999536 y[1] (closed_form) 0.33120906876928463 y[1] (numeric) 0.3312090687692657 absolute error 1.892930256985892e-14 relative error 5.715212642032091e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7375963282649594 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7375963282649318 Order of pole (six term test) 0.9999999999995097 TOP MAIN SOLVE Loop x[1] -1.4219999999999535 y[1] (closed_form) 0.330897486635065 y[1] (numeric) 0.33089748663504603 absolute error 1.8984813721090177e-14 relative error 5.737370178948457e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7384142199141916 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7384142199142338 Order of pole (six term test) 1.000000000000746 TOP MAIN SOLVE Loop x[1] -1.4229999999999534 y[1] (closed_form) 0.33058627161167875 y[1] (numeric) 0.33058627161165977 absolute error 1.8984813721090177e-14 relative error 5.742771358452107e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7392323019079043 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7392323019079052 Order of pole (six term test) 1.0000000000000178 TOP MAIN SOLVE Loop x[1] -1.4239999999999533 y[1] (closed_form) 0.33027542328099696 y[1] (numeric) 0.330275423280978 absolute error 1.8984813721090177e-14 relative error 5.748176334918501e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7400505739776264 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.740050573977694 Order of pole (six term test) 1.0000000000011937 TOP MAIN SOLVE Loop x[1] -1.4249999999999532 y[1] (closed_form) 0.3299649412250094 y[1] (numeric) 0.3299649412249903 absolute error 1.9095836023552692e-14 relative error 5.787231804887683e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.74086903585533 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7408690358554146 Order of pole (six term test) 1.0000000000014921 TOP MAIN SOLVE Loop x[1] -1.425999999999953 y[1] (closed_form) 0.3296548250258265 y[1] (numeric) 0.32965482502580745 absolute error 1.9040324872321435e-14 relative error 5.775836853238759e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.741687687273429 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7416876872734564 Order of pole (six term test) 1.0000000000004796 TOP MAIN SOLVE Loop x[1] -1.426999999999953 y[1] (closed_form) 0.3293450742656821 y[1] (numeric) 0.329345074265663 absolute error 1.9095836023552692e-14 relative error 5.798124069755516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.742506527964778 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7425065279648353 Order of pole (six term test) 1.000000000001009 TOP MAIN SOLVE Loop x[1] -1.4279999999999529 y[1] (closed_form) 0.32903568852693493 y[1] (numeric) 0.32903568852691584 absolute error 1.9095836023552692e-14 relative error 5.80357593094024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7433255576626718 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7433255576626534 Order of pole (six term test) 0.9999999999996696 TOP MAIN SOLVE Loop x[1] -1.4289999999999528 y[1] (closed_form) 0.32872666739207146 y[1] (numeric) 0.3287266673920523 absolute error 1.915134717478395e-14 relative error 5.825918331092435e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7441447761008444 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7441447761008995 Order of pole (six term test) 1.0000000000009734 TOP MAIN SOLVE Loop x[1] -1.4299999999999526 y[1] (closed_form) 0.32841801044370733 y[1] (numeric) 0.3284180104436882 absolute error 1.915134717478395e-14 relative error 5.831393701249706e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7449641830134694 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7449641830135125 Order of pole (six term test) 1.0000000000007532 TOP MAIN SOLVE Loop x[1] -1.4309999999999525 y[1] (closed_form) 0.32810971726459015 y[1] (numeric) 0.32810971726457094 absolute error 1.9206858326015208e-14 relative error 5.853791373855183e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7457837781351573 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.745783778135193 Order of pole (six term test) 1.0000000000006324 TOP MAIN SOLVE Loop x[1] -1.4319999999999524 y[1] (closed_form) 0.3278017874376012 y[1] (numeric) 0.3278017874375819 absolute error 1.9262369477246466e-14 relative error 5.8762246624152896e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7466035612009565 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7466035612010427 Order of pole (six term test) 1.00000000000151 TOP MAIN SOLVE Loop x[1] -1.4329999999999523 y[1] (closed_form) 0.3274942205457576 y[1] (numeric) 0.3274942205457383 absolute error 1.9317880628477724e-14 relative error 5.898693600236717e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7474235319463518 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7474235319463973 Order of pole (six term test) 1.0000000000007994 TOP MAIN SOLVE Loop x[1] -1.4339999999999522 y[1] (closed_form) 0.3271870161722145 y[1] (numeric) 0.3271870161721952 absolute error 1.9317880628477724e-14 relative error 5.9042320366129014e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7482436901072638 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7482436901072975 Order of pole (six term test) 1.0000000000005969 TOP MAIN SOLVE Loop x[1] -1.434999999999952 y[1] (closed_form) 0.3268801739002672 y[1] (numeric) 0.3268801739002479 absolute error 1.9317880628477724e-14 relative error 5.9097743365652114e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.749064035420048 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7490640354200706 Order of pole (six term test) 1.000000000000398 TOP MAIN SOLVE Loop x[1] -1.435999999999952 y[1] (closed_form) 0.326573693313353 y[1] (numeric) 0.32657369331333364 absolute error 1.9373391779708982e-14 relative error 5.932318547507709e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7498845676214938 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.749884567621532 Order of pole (six term test) 1.000000000000675 TOP MAIN SOLVE Loop x[1] -1.4369999999999519 y[1] (closed_form) 0.3262675739950535 y[1] (numeric) 0.3262675739950341 absolute error 1.942890293094024e-14 relative error 5.954898518733828e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7507052864488248 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7507052864488633 Order of pole (six term test) 1.0000000000006786 TOP MAIN SOLVE Loop x[1] -1.4379999999999518 y[1] (closed_form) 0.32596181552909637 y[1] (numeric) 0.32596181552907694 absolute error 1.942890293094024e-14 relative error 5.960484328326474e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7515261916396974 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7515261916397136 Order of pole (six term test) 1.0000000000002771 TOP MAIN SOLVE Loop x[1] -1.4389999999999517 y[1] (closed_form) 0.32565641749935775 y[1] (numeric) 0.32565641749933827 absolute error 1.9484414082171497e-14 relative error 5.983119949481703e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.752347282932199 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7523472829322584 Order of pole (six term test) 1.000000000001048 TOP MAIN SOLVE Loop x[1] -1.4399999999999515 y[1] (closed_form) 0.3253513794898638 y[1] (numeric) 0.3253513794898443 absolute error 1.9539925233402755e-14 relative error 6.005791419738398e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7531685600648503 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7531685600648588 Order of pole (six term test) 1.0000000000001492 TOP MAIN SOLVE Loop x[1] -1.4409999999999514 y[1] (closed_form) 0.32504670108479317 y[1] (numeric) 0.32504670108477357 absolute error 1.9595436384634013e-14 relative error 6.028498772403248e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7539900227766005 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7539900227766847 Order of pole (six term test) 1.0000000000014921 TOP MAIN SOLVE Loop x[1] -1.4419999999999513 y[1] (closed_form) 0.32474238186847854 y[1] (numeric) 0.32474238186845894 absolute error 1.9595436384634013e-14 relative error 6.034148136712938e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7548116708068304 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7548116708068275 Order of pole (six term test) 0.9999999999999503 TOP MAIN SOLVE Loop x[1] -1.4429999999999512 y[1] (closed_form) 0.3244384214254091 y[1] (numeric) 0.3244384214253894 absolute error 1.965094753586527e-14 relative error 6.0569113391470425e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7556335038953486 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.755633503895364 Order of pole (six term test) 1.00000000000027 TOP MAIN SOLVE Loop x[1] -1.443999999999951 y[1] (closed_form) 0.3241348193402319 y[1] (numeric) 0.32413481934021227 absolute error 1.965094753586527e-14 relative error 6.062584567700647e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7564555217823932 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7564555217823983 Order of pole (six term test) 1.0000000000000888 TOP MAIN SOLVE Loop x[1] -1.444999999999951 y[1] (closed_form) 0.3238315751977545 y[1] (numeric) 0.3238315751977348 absolute error 1.970645868709653e-14 relative error 6.085403708721846e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.757277724208629 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7572777242086524 Order of pole (six term test) 1.0000000000004086 TOP MAIN SOLVE Loop x[1] -1.4459999999999509 y[1] (closed_form) 0.32352868858294626 y[1] (numeric) 0.32352868858292655 absolute error 1.970645868709653e-14 relative error 6.091100845928286e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7581001109151486 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7581001109151853 Order of pole (six term test) 1.000000000000643 TOP MAIN SOLVE Loop x[1] -1.4469999999999508 y[1] (closed_form) 0.32322615908094066 y[1] (numeric) 0.32322615908092095 absolute error 1.970645868709653e-14 relative error 6.0968019244264625e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7589226816434707 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7589226816434578 Order of pole (six term test) 0.9999999999997691 TOP MAIN SOLVE Loop x[1] -1.4479999999999507 y[1] (closed_form) 0.3229239862770372 y[1] (numeric) 0.3229239862770174 absolute error 1.9817480989559044e-14 relative error 6.136887265028861e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7597454361355387 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7597454361355802 Order of pole (six term test) 1.0000000000007319 TOP MAIN SOLVE Loop x[1] -1.4489999999999505 y[1] (closed_form) 0.32262216975670294 y[1] (numeric) 0.3226221697566831 absolute error 1.9817480989559044e-14 relative error 6.1426283892715365e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.760568374133722 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7605683741337594 Order of pole (six term test) 1.000000000000668 TOP MAIN SOLVE Loop x[1] -1.4499999999999504 y[1] (closed_form) 0.322320709105575 y[1] (numeric) 0.3223207091055551 absolute error 1.9872992140790302e-14 relative error 6.165595811679905e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.761391495380813 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7613914953808212 Order of pole (six term test) 1.0000000000001457 TOP MAIN SOLVE Loop x[1] -1.4509999999999503 y[1] (closed_form) 0.32201960390946177 y[1] (numeric) 0.32201960390944184 absolute error 1.992850329202156e-14 relative error 6.188599405154417e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7622147996200281 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.762214799620082 Order of pole (six term test) 1.0000000000009592 TOP MAIN SOLVE Loop x[1] -1.4519999999999502 y[1] (closed_form) 0.3217188537543453 y[1] (numeric) 0.32171885375432535 absolute error 1.992850329202156e-14 relative error 6.1943846496600905e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7630382865950063 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7630382865949723 Order of pole (six term test) 0.9999999999994031 TOP MAIN SOLVE Loop x[1] -1.45299999999995 y[1] (closed_form) 0.32141845822638293 y[1] (numeric) 0.32141845822636295 absolute error 1.9984014443252818e-14 relative error 6.217444559197526e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.763861956049808 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7638619560498323 Order of pole (six term test) 1.0000000000004405 TOP MAIN SOLVE Loop x[1] -1.45399999999995 y[1] (closed_form) 0.3211184169119091 y[1] (numeric) 0.3211184169118891 absolute error 2.0039525594484076e-14 relative error 6.2405407286189455e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7646858077289154 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7646858077289445 Order of pole (six term test) 1.0000000000005187 TOP MAIN SOLVE Loop x[1] -1.4549999999999499 y[1] (closed_form) 0.3208187293974372 y[1] (numeric) 0.3208187293974172 absolute error 2.0039525594484076e-14 relative error 6.2463702266143806e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7655098413772308 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7655098413772563 Order of pole (six term test) 1.0000000000004512 TOP MAIN SOLVE Loop x[1] -1.4559999999999498 y[1] (closed_form) 0.32051939526966156 y[1] (numeric) 0.3205193952696415 absolute error 2.0039525594484076e-14 relative error 6.252203732514934e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.766334056740076 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7663340567400936 Order of pole (six term test) 1.000000000000309 TOP MAIN SOLVE Loop x[1] -1.4569999999999497 y[1] (closed_form) 0.320220414115459 y[1] (numeric) 0.3202204141154389 absolute error 2.0095036745715333e-14 relative error 6.275376540631743e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7671584535631923 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7671584535632552 Order of pole (six term test) 1.0000000000011369 TOP MAIN SOLVE Loop x[1] -1.4579999999999496 y[1] (closed_form) 0.31992178552189066 y[1] (numeric) 0.31992178552187056 absolute error 2.0095036745715333e-14 relative error 6.281234243843119e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7679830315927392 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7679830315927614 Order of pole (six term test) 1.0000000000003944 TOP MAIN SOLVE Loop x[1] -1.4589999999999494 y[1] (closed_form) 0.31962350907620407 y[1] (numeric) 0.3196235090761839 absolute error 2.015054789694659e-14 relative error 6.304463634476378e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7688077905752937 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7688077905753317 Order of pole (six term test) 1.0000000000006892 TOP MAIN SOLVE Loop x[1] -1.4599999999999493 y[1] (closed_form) 0.31932558436583447 y[1] (numeric) 0.3193255843658143 absolute error 2.015054789694659e-14 relative error 6.3103455794074965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7696327302578498 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7696327302578836 Order of pole (six term test) 1.0000000000006075 TOP MAIN SOLVE Loop x[1] -1.4609999999999492 y[1] (closed_form) 0.319028010978407 y[1] (numeric) 0.31902801097838684 absolute error 2.015054789694659e-14 relative error 6.316231554448194e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7704578503878174 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.770457850387825 Order of pole (six term test) 1.000000000000128 TOP MAIN SOLVE Loop x[1] -1.4619999999999491 y[1] (closed_form) 0.3187307885017382 y[1] (numeric) 0.318730788501718 absolute error 2.020605904817785e-14 relative error 6.3395378724348296e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7712831507130222 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.771283150713095 Order of pole (six term test) 1.0000000000013038 TOP MAIN SOLVE Loop x[1] -1.462999999999949 y[1] (closed_form) 0.3184339165238376 y[1] (numeric) 0.3184339165238174 absolute error 2.020605904817785e-14 relative error 6.345448144706422e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7721086309817045 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.772108630981711 Order of pole (six term test) 1.0000000000001066 TOP MAIN SOLVE Loop x[1] -1.463999999999949 y[1] (closed_form) 0.3181373946329101 y[1] (numeric) 0.31813739463288976 absolute error 2.0317081350640365e-14 relative error 6.386260054113941e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7729342909425183 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7729342909425458 Order of pole (six term test) 1.000000000000501 TOP MAIN SOLVE Loop x[1] -1.4649999999999488 y[1] (closed_form) 0.3178412224173566 y[1] (numeric) 0.31784122241733626 absolute error 2.0317081350640365e-14 relative error 6.392210927241543e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7737601303445316 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7737601303445494 Order of pole (six term test) 1.0000000000003197 TOP MAIN SOLVE Loop x[1] -1.4659999999999487 y[1] (closed_form) 0.3175453994657768 y[1] (numeric) 0.31754539946575644 absolute error 2.0372592501871623e-14 relative error 6.415647191282096e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7745861489372246 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7745861489372354 Order of pole (six term test) 1.000000000000199 TOP MAIN SOLVE Loop x[1] -1.4669999999999486 y[1] (closed_form) 0.3172499253669702 y[1] (numeric) 0.31724992536694985 absolute error 2.0372592501871623e-14 relative error 6.421622472662895e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7754123464704894 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7754123464704967 Order of pole (six term test) 1.0000000000001315 TOP MAIN SOLVE Loop x[1] -1.4679999999999485 y[1] (closed_form) 0.3169547997099382 y[1] (numeric) 0.31695479970991774 absolute error 2.042810365310288e-14 relative error 6.445115730002417e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7762387226946295 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7762387226946688 Order of pole (six term test) 1.000000000000714 TOP MAIN SOLVE Loop x[1] -1.4689999999999483 y[1] (closed_form) 0.31666002208388516 y[1] (numeric) 0.3166600220838647 absolute error 2.0483614804334138e-14 relative error 6.4686456691106726e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7770652773603586 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.777065277360375 Order of pole (six term test) 1.0000000000003055 TOP MAIN SOLVE Loop x[1] -1.4699999999999482 y[1] (closed_form) 0.3163655920782208 y[1] (numeric) 0.3163655920782003 absolute error 2.0483614804334138e-14 relative error 6.474665803501666e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7778920102188007 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7778920102188154 Order of pole (six term test) 1.0000000000002771 TOP MAIN SOLVE Loop x[1] -1.4709999999999481 y[1] (closed_form) 0.3160715092825614 y[1] (numeric) 0.31607150928254085 absolute error 2.0539125955565396e-14 relative error 6.4982528802378835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7787189210214882 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7787189210215038 Order of pole (six term test) 1.0000000000002807 TOP MAIN SOLVE Loop x[1] -1.471999999999948 y[1] (closed_form) 0.31577777328673134 y[1] (numeric) 0.3157777732867108 absolute error 2.0539125955565396e-14 relative error 6.504297545006607e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7795460095203628 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7795460095203444 Order of pole (six term test) 0.999999999999666 TOP MAIN SOLVE Loop x[1] -1.472999999999948 y[1] (closed_form) 0.31548438368076526 y[1] (numeric) 0.31548438368074466 absolute error 2.0594637106796654e-14 relative error 6.5279418481886296e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.780373275467773 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7803732754678274 Order of pole (six term test) 1.0000000000009983 TOP MAIN SOLVE Loop x[1] -1.4739999999999478 y[1] (closed_form) 0.315191340054909 y[1] (numeric) 0.31519134005488836 absolute error 2.0650148258027912e-14 relative error 6.551622977468379e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7812007186164747 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7812007186164711 Order of pole (six term test) 0.9999999999999325 TOP MAIN SOLVE Loop x[1] -1.4749999999999477 y[1] (closed_form) 0.3148986419996217 y[1] (numeric) 0.314898641999601 absolute error 2.070565940925917e-14 relative error 6.575340966152545e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7820283387196303 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7820283387196345 Order of pole (six term test) 1.0000000000000817 TOP MAIN SOLVE Loop x[1] -1.4759999999999476 y[1] (closed_form) 0.3146062891055771 y[1] (numeric) 0.3146062891055563 absolute error 2.0761170560490427e-14 relative error 6.59909584754782e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7828561355308075 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7828561355308228 Order of pole (six term test) 1.0000000000002842 TOP MAIN SOLVE Loop x[1] -1.4769999999999475 y[1] (closed_form) 0.3143142809636652 y[1] (numeric) 0.31431428096364444 absolute error 2.0761170560490427e-14 relative error 6.605226621214332e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.783684108803979 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7836841088039843 Order of pole (six term test) 1.0000000000001172 TOP MAIN SOLVE Loop x[1] -1.4779999999999474 y[1] (closed_form) 0.314022617164994 y[1] (numeric) 0.31402261716497326 absolute error 2.0761170560490427e-14 relative error 6.611361547114957e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7845122582935216 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7845122582935564 Order of pole (six term test) 1.000000000000675 TOP MAIN SOLVE Loop x[1] -1.4789999999999472 y[1] (closed_form) 0.3137312973008909 y[1] (numeric) 0.31373129730087007 absolute error 2.0816681711721685e-14 relative error 6.6351944771888636e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7853405837542158 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7853405837542364 Order of pole (six term test) 1.0000000000004086 TOP MAIN SOLVE Loop x[1] -1.4799999999999471 y[1] (closed_form) 0.31344032096290403 y[1] (numeric) 0.3134403209628832 absolute error 2.0816681711721685e-14 relative error 6.641354133307361e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7861690849412448 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.786169084941264 Order of pole (six term test) 1.0000000000003624 TOP MAIN SOLVE Loop x[1] -1.480999999999947 y[1] (closed_form) 0.3131496877428043 y[1] (numeric) 0.3131496877427834 absolute error 2.0872192862952943e-14 relative error 6.6652446673029e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7869977616101937 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7869977616102357 Order of pole (six term test) 1.0000000000007923 TOP MAIN SOLVE Loop x[1] -1.481999999999947 y[1] (closed_form) 0.3128593972325863 y[1] (numeric) 0.31285939723256545 absolute error 2.0872192862952943e-14 relative error 6.671429098048192e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7878266135170497 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7878266135170982 Order of pole (six term test) 1.0000000000009486 TOP MAIN SOLVE Loop x[1] -1.4829999999999468 y[1] (closed_form) 0.31256944902447054 y[1] (numeric) 0.31256944902444966 absolute error 2.0872192862952943e-14 relative error 6.677617703232057e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7886556404182004 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7886556404182123 Order of pole (six term test) 1.000000000000238 TOP MAIN SOLVE Loop x[1] -1.4839999999999467 y[1] (closed_form) 0.31227984271090425 y[1] (numeric) 0.3122798427108833 absolute error 2.09277040141842e-14 relative error 6.701586574564213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7894848420704328 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7894848420704372 Order of pole (six term test) 1.0000000000000995 TOP MAIN SOLVE Loop x[1] -1.4849999999999466 y[1] (closed_form) 0.3119905778845633 y[1] (numeric) 0.3119905778845424 absolute error 2.09277040141842e-14 relative error 6.707800009886024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7903142182309344 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7903142182309544 Order of pole (six term test) 1.0000000000003908 TOP MAIN SOLVE Loop x[1] -1.4859999999999465 y[1] (closed_form) 0.3117016541383536 y[1] (numeric) 0.3117016541383327 absolute error 2.09277040141842e-14 relative error 6.7140176307486374e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7911437686572904 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.791143768657275 Order of pole (six term test) 0.9999999999997335 TOP MAIN SOLVE Loop x[1] -1.4869999999999464 y[1] (closed_form) 0.31141307106541255 y[1] (numeric) 0.3114130710653915 absolute error 2.1038726316646716e-14 relative error 6.755890574749676e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7919734931074847 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7919734931074711 Order of pole (six term test) 0.999999999999762 TOP MAIN SOLVE Loop x[1] -1.4879999999999463 y[1] (closed_form) 0.31112482825911025 y[1] (numeric) 0.3111248282590892 absolute error 2.1038726316646716e-14 relative error 6.762149595828878e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7928033913398982 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7928033913399057 Order of pole (six term test) 1.0000000000001386 TOP MAIN SOLVE Loop x[1] -1.4889999999999461 y[1] (closed_form) 0.31083692531305157 y[1] (numeric) 0.3108369253130305 absolute error 2.1094237467877974e-14 relative error 6.786271433689368e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7936334631133084 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7936334631133235 Order of pole (six term test) 1.000000000000302 TOP MAIN SOLVE Loop x[1] -1.489999999999946 y[1] (closed_form) 0.31054936182107695 y[1] (numeric) 0.3105493618210558 absolute error 2.1149748619109232e-14 relative error 6.8104305528390244e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7944637081868886 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7944637081868917 Order of pole (six term test) 1.0000000000000568 TOP MAIN SOLVE Loop x[1] -1.490999999999946 y[1] (closed_form) 0.31026213737726416 y[1] (numeric) 0.310262137377243 absolute error 2.1149748619109232e-14 relative error 6.8167352929023796e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.795294126320208 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7952941263202058 Order of pole (six term test) 0.9999999999999858 TOP MAIN SOLVE Loop x[1] -1.4919999999999458 y[1] (closed_form) 0.3099752515759297 y[1] (numeric) 0.3099752515759085 absolute error 2.120525977034049e-14 relative error 6.8409525155740294e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7961247172732295 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7961247172732386 Order of pole (six term test) 1.0000000000002132 TOP MAIN SOLVE Loop x[1] -1.4929999999999457 y[1] (closed_form) 0.3096887040116301 y[1] (numeric) 0.30968870401160886 absolute error 2.1260770921571748e-14 relative error 6.865207108352688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7969554808063102 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.796955480806308 Order of pole (six term test) 0.9999999999999467 TOP MAIN SOLVE Loop x[1] -1.4939999999999456 y[1] (closed_form) 0.30940249427916344 y[1] (numeric) 0.3094024942791422 absolute error 2.1260770921571748e-14 relative error 6.871557700626961e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7977864166802011 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7977864166802155 Order of pole (six term test) 1.0000000000002807 TOP MAIN SOLVE Loop x[1] -1.4949999999999455 y[1] (closed_form) 0.30911662197357065 y[1] (numeric) 0.30911662197354933 absolute error 2.1316282072803006e-14 relative error 6.8958705412566065e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7986175246560445 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7986175246560752 Order of pole (six term test) 1.0000000000006573 TOP MAIN SOLVE Loop x[1] -1.4959999999999454 y[1] (closed_form) 0.3088310866901369 y[1] (numeric) 0.3088310866901156 absolute error 2.1316282072803006e-14 relative error 6.902246241224582e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7994488044953756 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7994488044953647 Order of pole (six term test) 0.9999999999997478 TOP MAIN SOLVE Loop x[1] -1.4969999999999453 y[1] (closed_form) 0.3085458880243932 y[1] (numeric) 0.30854588802437183 absolute error 2.1371793224034263e-14 relative error 6.926617418523056e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8002802559601203 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8002802559601199 Order of pole (six term test) 1.0000000000000817 TOP MAIN SOLVE Loop x[1] -1.4979999999999452 y[1] (closed_form) 0.30826102557211726 y[1] (numeric) 0.30826102557209584 absolute error 2.142730437526552e-14 relative error 6.951026110257533e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8011118788125948 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.801111878812587 Order of pole (six term test) 0.9999999999998757 TOP MAIN SOLVE Loop x[1] -1.498999999999945 y[1] (closed_form) 0.3079764989293353 y[1] (numeric) 0.3079764989293139 absolute error 2.142730437526552e-14 relative error 6.957447873378799e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.801943672815506 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8019436728155043 Order of pole (six term test) 1.0000000000000036 TOP MAIN SOLVE Loop x[1] -1.499999999999945 y[1] (closed_form) 0.3076923076923233 y[1] (numeric) 0.3076923076923019 absolute error 2.142730437526552e-14 relative error 6.9638739219609406e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8027756377319488 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.802775637731964 Order of pole (six term test) 1.0000000000003624 TOP MAIN SOLVE Loop x[1] -1.5009999999999448 y[1] (closed_form) 0.3074084514576082 y[1] (numeric) 0.3074084514575867 absolute error 2.148281552649678e-14 relative error 6.988362039050599e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8036077733254074 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8036077733254228 Order of pole (six term test) 1.0000000000002842 TOP MAIN SOLVE Loop x[1] -1.5019999999999447 y[1] (closed_form) 0.3071249298219692 y[1] (numeric) 0.30712492982194767 absolute error 2.1538326677728037e-14 relative error 7.012887781598562e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8044400793597535 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8044400793597548 Order of pole (six term test) 1.0000000000000497 TOP MAIN SOLVE Loop x[1] -1.5029999999999446 y[1] (closed_form) 0.30684174238243933 y[1] (numeric) 0.30684174238241774 absolute error 2.1593837828959295e-14 relative error 7.03745118291152e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8052725555992462 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8052725555992555 Order of pole (six term test) 1.0000000000002416 TOP MAIN SOLVE Loop x[1] -1.5039999999999445 y[1] (closed_form) 0.3065588887363064 y[1] (numeric) 0.3065588887362848 absolute error 2.1593837828959295e-14 relative error 7.043944449946688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8061052018085306 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8061052018085406 Order of pole (six term test) 1.0000000000001386 TOP MAIN SOLVE Loop x[1] -1.5049999999999444 y[1] (closed_form) 0.3062763684811146 y[1] (numeric) 0.306276368481093 absolute error 2.1593837828959295e-14 relative error 7.050442035749421e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.806938017752638 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8069380177526337 Order of pole (six term test) 0.9999999999999787 TOP MAIN SOLVE Loop x[1] -1.5059999999999443 y[1] (closed_form) 0.30599418121466576 y[1] (numeric) 0.3059941812146441 absolute error 2.1649348980190553e-14 relative error 7.0750851843822375e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8077710031969847 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8077710031969998 Order of pole (six term test) 1.0000000000004121 TOP MAIN SOLVE Loop x[1] -1.5069999999999442 y[1] (closed_form) 0.30571232653502023 y[1] (numeric) 0.3057123265349986 absolute error 2.1649348980190553e-14 relative error 7.081608133229969e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8086041579073713 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8086041579073724 Order of pole (six term test) 1.0000000000000462 TOP MAIN SOLVE Loop x[1] -1.507999999999944 y[1] (closed_form) 0.30543080404049877 y[1] (numeric) 0.30543080404047707 absolute error 2.170486013142181e-14 relative error 7.1063101181319754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8094374816499827 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8094374816499872 Order of pole (six term test) 1.000000000000231 TOP MAIN SOLVE Loop x[1] -1.508999999999944 y[1] (closed_form) 0.3051496133296832 y[1] (numeric) 0.3051496133296615 absolute error 2.170486013142181e-14 relative error 7.112858474433625e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8102709741913863 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.810270974191382 Order of pole (six term test) 0.9999999999999041 TOP MAIN SOLVE Loop x[1] -1.5099999999999438 y[1] (closed_form) 0.30486875400141816 y[1] (numeric) 0.3048687540013964 absolute error 2.1760371282653068e-14 relative error 7.137619384422664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8111046352985325 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.811104635298535 Order of pole (six term test) 1.0000000000001208 TOP MAIN SOLVE Loop x[1] -1.5109999999999437 y[1] (closed_form) 0.3045882256548119 y[1] (numeric) 0.30458822565479016 absolute error 2.1760371282653068e-14 relative error 7.1441931925871526e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.811938464738753 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8119384647387473 Order of pole (six term test) 1.0000000000000213 TOP MAIN SOLVE Loop x[1] -1.5119999999999436 y[1] (closed_form) 0.30430802788923794 y[1] (numeric) 0.3043080278892161 absolute error 2.1815882433884326e-14 relative error 7.169013116481065e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8127724622797616 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8127724622797505 Order of pole (six term test) 0.9999999999998579 TOP MAIN SOLVE Loop x[1] -1.5129999999999435 y[1] (closed_form) 0.3040281603043358 y[1] (numeric) 0.304028160304314 absolute error 2.1815882433884326e-14 relative error 7.1756124209173145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8136066276896512 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8136066276896543 Order of pole (six term test) 1.0000000000000284 TOP MAIN SOLVE Loop x[1] -1.5139999999999434 y[1] (closed_form) 0.3037486225000128 y[1] (numeric) 0.3037486224999909 absolute error 2.1871393585115584e-14 relative error 7.200491447533944e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8144409607368956 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8144409607368888 Order of pole (six term test) 0.9999999999999218 TOP MAIN SOLVE Loop x[1] -1.5149999999999433 y[1] (closed_form) 0.3034694140764446 y[1] (numeric) 0.3034694140764227 absolute error 2.1926904736346842e-14 relative error 7.225408465982475e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8152754611903472 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8152754611903366 Order of pole (six term test) 0.9999999999998437 TOP MAIN SOLVE Loop x[1] -1.5159999999999432 y[1] (closed_form) 0.303190534634077 y[1] (numeric) 0.30319053463405504 absolute error 2.19824158875781e-14 relative error 7.2503635095696e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8161101288192376 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.816110128819246 Order of pole (six term test) 1.0000000000001776 TOP MAIN SOLVE Loop x[1] -1.516999999999943 y[1] (closed_form) 0.3029119837736267 y[1] (numeric) 0.30291198377360473 absolute error 2.19824158875781e-14 relative error 7.257030776308302e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8169449633931753 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8169449633931734 Order of pole (six term test) 1.0000000000000142 TOP MAIN SOLVE Loop x[1] -1.517999999999943 y[1] (closed_form) 0.30263376109608275 y[1] (numeric) 0.3026337610960607 absolute error 2.2037927038809357e-14 relative error 7.282045122458286e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8177799646821466 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8177799646821668 Order of pole (six term test) 1.000000000000263 TOP MAIN SOLVE Loop x[1] -1.5189999999999428 y[1] (closed_form) 0.3023558662027074 y[1] (numeric) 0.30235586620268534 absolute error 2.2037927038809357e-14 relative error 7.288738040899973e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8186151324565145 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8186151324565099 Order of pole (six term test) 0.9999999999999751 TOP MAIN SOLVE Loop x[1] -1.5199999999999427 y[1] (closed_form) 0.30207829869503766 y[1] (numeric) 0.30207829869501557 absolute error 2.2093438190040615e-14 relative error 7.31381177843066e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8194504664870177 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8194504664870221 Order of pole (six term test) 1.0000000000000249 TOP MAIN SOLVE Loop x[1] -1.5209999999999426 y[1] (closed_form) 0.30180105817488606 y[1] (numeric) 0.30180105817486397 absolute error 2.2093438190040615e-14 relative error 7.320530392984251e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8202859665447695 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.820285966544779 Order of pole (six term test) 1.0000000000001386 TOP MAIN SOLVE Loop x[1] -1.5219999999999425 y[1] (closed_form) 0.30152414424434215 y[1] (numeric) 0.30152414424432 absolute error 2.2148949341271873e-14 relative error 7.345663610713482e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8211216324012587 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8211216324012578 Order of pole (six term test) 0.9999999999999716 TOP MAIN SOLVE Loop x[1] -1.5229999999999424 y[1] (closed_form) 0.3012475565057732 y[1] (numeric) 0.3012475565057511 absolute error 2.2093438190040615e-14 relative error 7.333980878154347e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8219574638283476 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.821957463828329 Order of pole (six term test) 0.9999999999997868 TOP MAIN SOLVE Loop x[1] -1.5239999999999423 y[1] (closed_form) 0.3009712945618258 y[1] (numeric) 0.30097129456180366 absolute error 2.2148949341271873e-14 relative error 7.359156750652184e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8227934605982719 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8227934605982479 Order of pole (six term test) 0.9999999999997122 TOP MAIN SOLVE Loop x[1] -1.5249999999999422 y[1] (closed_form) 0.3006953580154266 y[1] (numeric) 0.3006953580154044 absolute error 2.2148949341271873e-14 relative error 7.365909965306336e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8236296224836401 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.823629622483621 Order of pole (six term test) 0.999999999999801 TOP MAIN SOLVE Loop x[1] -1.525999999999942 y[1] (closed_form) 0.30041974646978353 y[1] (numeric) 0.30041974646976133 absolute error 2.220446049250313e-14 relative error 7.391145473433941e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8244659492574322 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.824465949257425 Order of pole (six term test) 0.999999999999936 TOP MAIN SOLVE Loop x[1] -1.526999999999942 y[1] (closed_form) 0.300144459528387 y[1] (numeric) 0.30014445952836477 absolute error 2.220446049250313e-14 relative error 7.397924495222302e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8253024406929999 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.825302440692984 Order of pole (six term test) 0.9999999999998437 TOP MAIN SOLVE Loop x[1] -1.5279999999999418 y[1] (closed_form) 0.2998694967950108 y[1] (numeric) 0.2998694967949886 absolute error 2.220446049250313e-14 relative error 7.404707957902761e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8261390965640658 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8261390965640512 Order of pole (six term test) 0.9999999999998188 TOP MAIN SOLVE Loop x[1] -1.5289999999999417 y[1] (closed_form) 0.29959485787371337 y[1] (numeric) 0.29959485787369117 absolute error 2.220446049250313e-14 relative error 7.41149586147532e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.826975916644722 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8269759166447135 Order of pole (six term test) 0.9999999999998899 TOP MAIN SOLVE Loop x[1] -1.5299999999999416 y[1] (closed_form) 0.29932054236883876 y[1] (numeric) 0.2993205423688165 absolute error 2.225997164373439e-14 relative error 7.436833926454824e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8278129007094301 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8278129007094246 Order of pole (six term test) 0.9999999999999147 TOP MAIN SOLVE Loop x[1] -1.5309999999999415 y[1] (closed_form) 0.29904654988501767 y[1] (numeric) 0.29904654988499535 absolute error 2.2315482794965646e-14 relative error 7.462210416253213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8286500485330213 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8286500485330026 Order of pole (six term test) 0.9999999999997797 TOP MAIN SOLVE Loop x[1] -1.5319999999999414 y[1] (closed_form) 0.2987728800271685 y[1] (numeric) 0.29877288002714614 absolute error 2.2370993946196904e-14 relative error 7.487625364177174e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8294873598906936 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.829487359890671 Order of pole (six term test) 0.9999999999996909 TOP MAIN SOLVE Loop x[1] -1.5329999999999413 y[1] (closed_form) 0.29849953240049854 y[1] (numeric) 0.2984995324004761 absolute error 2.2426505097428162e-14 relative error 7.513078803533398e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8303248345580136 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8303248345579772 Order of pole (six term test) 0.999999999999492 TOP MAIN SOLVE Loop x[1] -1.5339999999999412 y[1] (closed_form) 0.2982265066105048 y[1] (numeric) 0.29822650661048233 absolute error 2.248201624865942e-14 relative error 7.538570767628577e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8311624723109141 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8311624723108832 Order of pole (six term test) 0.9999999999995914 TOP MAIN SOLVE Loop x[1] -1.534999999999941 y[1] (closed_form) 0.2979538022629752 y[1] (numeric) 0.2979538022629527 absolute error 2.248201624865942e-14 relative error 7.54547049841529e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8320002729256946 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8320002729256966 Order of pole (six term test) 1.0000000000000249 TOP MAIN SOLVE Loop x[1] -1.535999999999941 y[1] (closed_form) 0.2976814189639895 y[1] (numeric) 0.29768141896396694 absolute error 2.2537527399890678e-14 relative error 7.571022564433906e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8328382361790194 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.832838236179048 Order of pole (six term test) 1.000000000000398 TOP MAIN SOLVE Loop x[1] -1.5369999999999409 y[1] (closed_form) 0.2974093563199203 y[1] (numeric) 0.29740935631989773 absolute error 2.2593038551121936e-14 relative error 7.59661324400932e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8336763618479184 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8336763618479057 Order of pole (six term test) 0.999999999999801 TOP MAIN SOLVE Loop x[1] -1.5379999999999407 y[1] (closed_form) 0.29713761393743415 y[1] (numeric) 0.29713761393741156 absolute error 2.2593038551121936e-14 relative error 7.60356060336379e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8345146497097857 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8345146497097935 Order of pole (six term test) 1.000000000000128 TOP MAIN SOLVE Loop x[1] -1.5389999999999406 y[1] (closed_form) 0.29686619142349246 y[1] (numeric) 0.2968661914234698 absolute error 2.2648549702353193e-14 relative error 7.629211529191634e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8353530995423788 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8353530995423684 Order of pole (six term test) 0.9999999999998614 TOP MAIN SOLVE Loop x[1] -1.5399999999999405 y[1] (closed_form) 0.2965950883853524 y[1] (numeric) 0.2965950883853298 absolute error 2.2648549702353193e-14 relative error 7.636185017644989e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8361917111238186 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8361917111238157 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] -1.5409999999999404 y[1] (closed_form) 0.29632430443056823 y[1] (numeric) 0.2963243044305455 absolute error 2.270406085358445e-14 relative error 7.661896278543106e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.837030484232588 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.837030484232605 Order of pole (six term test) 1.0000000000002274 TOP MAIN SOLVE Loop x[1] -1.5419999999999403 y[1] (closed_form) 0.2960538391669917 y[1] (numeric) 0.296053839166969 absolute error 2.270406085358445e-14 relative error 7.668895940504266e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8378694186475315 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8378694186475055 Order of pole (six term test) 0.9999999999996341 TOP MAIN SOLVE Loop x[1] -1.5429999999999402 y[1] (closed_form) 0.2957836922027735 y[1] (numeric) 0.29578369220275075 absolute error 2.275957200481571e-14 relative error 7.694667625290499e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8387085141478556 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.838708514147865 Order of pole (six term test) 1.0000000000001172 TOP MAIN SOLVE Loop x[1] -1.54399999999994 y[1] (closed_form) 0.2955138631463641 y[1] (numeric) 0.2955138631463413 absolute error 2.275957200481571e-14 relative error 7.701693505168384e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8395477705131267 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.839547770513099 Order of pole (six term test) 0.9999999999995843 TOP MAIN SOLVE Loop x[1] -1.54499999999994 y[1] (closed_form) 0.2952443516065145 y[1] (numeric) 0.2952443516064917 absolute error 2.2815083156046967e-14 relative error 7.727525702660573e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8403871875232707 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8403871875232596 Order of pole (six term test) 0.9999999999998401 TOP MAIN SOLVE Loop x[1] -1.5459999999999399 y[1] (closed_form) 0.2949751571922774 y[1] (numeric) 0.29497515719225464 absolute error 2.275957200481571e-14 relative error 7.71575892066736e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8412267649585736 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8412267649585357 Order of pole (six term test) 0.99999999999946 TOP MAIN SOLVE Loop x[1] -1.5469999999999398 y[1] (closed_form) 0.29470627951300815 y[1] (numeric) 0.29470627951298534 absolute error 2.2815083156046967e-14 relative error 7.741634550084273e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8420665025996792 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8420665025996508 Order of pole (six term test) 0.999999999999595 TOP MAIN SOLVE Loop x[1] -1.5479999999999396 y[1] (closed_form) 0.29443771817836534 y[1] (numeric) 0.2944377181783425 absolute error 2.2815083156046967e-14 relative error 7.748695818321069e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8429064002275897 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8429064002276043 Order of pole (six term test) 1.0000000000002132 TOP MAIN SOLVE Loop x[1] -1.5489999999999395 y[1] (closed_form) 0.2941694727983121 y[1] (numeric) 0.29416947279828926 absolute error 2.2870594307278225e-14 relative error 7.774632115875163e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8437464576236648 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8437464576236549 Order of pole (six term test) 0.9999999999998579 TOP MAIN SOLVE Loop x[1] -1.5499999999999394 y[1] (closed_form) 0.2939015429831169 y[1] (numeric) 0.29390154298309396 absolute error 2.2926105458509483e-14 relative error 7.800607382257422e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8445866745696207 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8445866745695656 Order of pole (six term test) 0.9999999999992077 TOP MAIN SOLVE Loop x[1] -1.5509999999999393 y[1] (closed_form) 0.29363392834335417 y[1] (numeric) 0.2936339283433312 absolute error 2.298161660974074e-14 relative error 7.826621650774535e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.84542705084753 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8454270508474828 Order of pole (six term test) 0.9999999999993321 TOP MAIN SOLVE Loop x[1] -1.5519999999999392 y[1] (closed_form) 0.29336662848990563 y[1] (numeric) 0.29336662848988265 absolute error 2.298161660974074e-14 relative error 7.833752846408537e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8462675862398201 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.846267586239748 Order of pole (six term test) 0.9999999999989768 TOP MAIN SOLVE Loop x[1] -1.552999999999939 y[1] (closed_form) 0.293099643033961 y[1] (numeric) 0.293099643033938 absolute error 2.3037127760971998e-14 relative error 7.859827982902975e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8471082805292738 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8471082805292833 Order of pole (six term test) 1.0000000000001528 TOP MAIN SOLVE Loop x[1] -1.553999999999939 y[1] (closed_form) 0.2928329715870187 y[1] (numeric) 0.29283297158699567 absolute error 2.3037127760971998e-14 relative error 7.866985618498309e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8479491334990286 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8479491334990525 Order of pole (six term test) 1.0000000000003624 TOP MAIN SOLVE Loop x[1] -1.5549999999999389 y[1] (closed_form) 0.29256661376088694 y[1] (numeric) 0.2925666137608639 absolute error 2.3037127760971998e-14 relative error 7.874147861519194e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8487901449325745 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8487901449326298 Order of pole (six term test) 1.0000000000007994 TOP MAIN SOLVE Loop x[1] -1.5559999999999388 y[1] (closed_form) 0.2923005691676846 y[1] (numeric) 0.2923005691676615 absolute error 2.3092638912203256e-14 relative error 7.9003058317535e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8496313146137555 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8496313146137677 Order of pole (six term test) 1.000000000000174 TOP MAIN SOLVE Loop x[1] -1.5569999999999387 y[1] (closed_form) 0.29203483741984176 y[1] (numeric) 0.29203483741981867 absolute error 2.3092638912203256e-14 relative error 7.907494570246867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8504726423267677 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8504726423267037 Order of pole (six term test) 0.9999999999990621 TOP MAIN SOLVE Loop x[1] -1.5579999999999385 y[1] (closed_form) 0.2917694181301011 y[1] (numeric) 0.29176941813007795 absolute error 2.3148150063434514e-14 relative error 7.933713619400874e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8513141278561585 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8513141278560976 Order of pole (six term test) 0.9999999999991083 TOP MAIN SOLVE Loop x[1] -1.5589999999999384 y[1] (closed_form) 0.29150431091151824 y[1] (numeric) 0.29150431091149503 absolute error 2.3203661214665772e-14 relative error 7.959971892734339e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.852155770986827 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8521557709867973 Order of pole (six term test) 0.9999999999995666 TOP MAIN SOLVE Loop x[1] -1.5599999999999383 y[1] (closed_form) 0.29123951537746273 y[1] (numeric) 0.29123951537743953 absolute error 2.3203661214665772e-14 relative error 7.967209114667192e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8529975715040232 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8529975715039293 Order of pole (six term test) 0.9999999999986322 TOP MAIN SOLVE Loop x[1] -1.5609999999999382 y[1] (closed_form) 0.29097503114161904 y[1] (numeric) 0.2909750311415958 absolute error 2.325917236589703e-14 relative error 7.993528611249352e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.853839529193346 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8538395291932688 Order of pole (six term test) 0.9999999999988738 TOP MAIN SOLVE Loop x[1] -1.561999999999938 y[1] (closed_form) 0.29071085781798717 y[1] (numeric) 0.29071085781796385 absolute error 2.3314683517128287e-14 relative error 8.019887420828813e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8546816438407447 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8546816438407747 Order of pole (six term test) 1.000000000000437 TOP MAIN SOLVE Loop x[1] -1.562999999999938 y[1] (closed_form) 0.2904469950208835 y[1] (numeric) 0.2904469950208602 absolute error 2.3314683517128287e-14 relative error 8.027173259427914e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8555239152325163 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8555239152325125 Order of pole (six term test) 0.9999999999999396 TOP MAIN SOLVE Loop x[1] -1.5639999999999379 y[1] (closed_form) 0.29018344236494176 y[1] (numeric) 0.29018344236491844 absolute error 2.3314683517128287e-14 relative error 8.03446376096372e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8563663431553066 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8563663431551944 Order of pole (six term test) 0.9999999999983515 TOP MAIN SOLVE Loop x[1] -1.5649999999999378 y[1] (closed_form) 0.2899201994651136 y[1] (numeric) 0.28992019946509023 absolute error 2.3370194668359545e-14 relative error 8.06090597049679e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.857208927396109 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8572089273961274 Order of pole (six term test) 1.0000000000002807 TOP MAIN SOLVE Loop x[1] -1.5659999999999377 y[1] (closed_form) 0.2896572659366695 y[1] (numeric) 0.2896572659366461 absolute error 2.3425705819590803e-14 relative error 8.087387604049465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.858051667742263 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8580516677422447 Order of pole (six term test) 0.9999999999997442 TOP MAIN SOLVE Loop x[1] -1.5669999999999376 y[1] (closed_form) 0.28939464139519955 y[1] (numeric) 0.2893946413951761 absolute error 2.3425705819590803e-14 relative error 8.094726877682741e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8588945639814551 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8588945639814787 Order of pole (six term test) 1.0000000000003446 TOP MAIN SOLVE Loop x[1] -1.5679999999999374 y[1] (closed_form) 0.28913232545661416 y[1] (numeric) 0.28913232545659073 absolute error 2.3425705819590803e-14 relative error 8.102070836457182e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8597376159017174 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.859737615901747 Order of pole (six term test) 1.0000000000004263 TOP MAIN SOLVE Loop x[1] -1.5689999999999373 y[1] (closed_form) 0.288870317737145 y[1] (numeric) 0.2888703177371215 absolute error 2.348121697082206e-14 relative error 8.128636114212533e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8605808232914267 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8605808232913887 Order of pole (six term test) 0.9999999999994422 TOP MAIN SOLVE Loop x[1] -1.5699999999999372 y[1] (closed_form) 0.2886086178533455 y[1] (numeric) 0.28860861785332204 absolute error 2.348121697082206e-14 relative error 8.136006868219673e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8614241859393046 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8614241859392897 Order of pole (six term test) 0.9999999999997833 TOP MAIN SOLVE Loop x[1] -1.5709999999999371 y[1] (closed_form) 0.2883472254220919 y[1] (numeric) 0.28834722542206837 absolute error 2.353672812205332e-14 relative error 8.162633813312925e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8622677036344164 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8622677036344015 Order of pole (six term test) 0.9999999999997904 TOP MAIN SOLVE Loop x[1] -1.571999999999937 y[1] (closed_form) 0.28808614006058364 y[1] (numeric) 0.2880861400605601 absolute error 2.353672812205332e-14 relative error 8.170031406961687e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8631113761661706 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8631113761661628 Order of pole (six term test) 0.9999999999998828 TOP MAIN SOLVE Loop x[1] -1.572999999999937 y[1] (closed_form) 0.28782536138634457 y[1] (numeric) 0.287825361386321 absolute error 2.3592239273284576e-14 relative error 8.196720108210685e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8639552033243185 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8639552033242472 Order of pole (six term test) 0.999999999998959 TOP MAIN SOLVE Loop x[1] -1.5739999999999368 y[1] (closed_form) 0.2875648890172232 y[1] (numeric) 0.28756488901719957 absolute error 2.3647750424515834e-14 relative error 8.223448455523892e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8647991848989534 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.864799184898987 Order of pole (six term test) 1.0000000000004903 TOP MAIN SOLVE Loop x[1] -1.5749999999999367 y[1] (closed_form) 0.2873047225713937 y[1] (numeric) 0.2873047225713701 absolute error 2.3647750424515834e-14 relative error 8.230895132132571e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.86564332068051 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8656433206805474 Order of pole (six term test) 1.0000000000005507 TOP MAIN SOLVE Loop x[1] -1.5759999999999366 y[1] (closed_form) 0.28704486166735677 y[1] (numeric) 0.28704486166733306 absolute error 2.3703261575747092e-14 relative error 8.257685379930515e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.866487610459764 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.866487610459686 Order of pole (six term test) 0.9999999999988489 TOP MAIN SOLVE Loop x[1] -1.5769999999999365 y[1] (closed_form) 0.2867853059239398 y[1] (numeric) 0.2867853059239161 absolute error 2.3703261575747092e-14 relative error 8.265159018305348e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8673320540278313 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8673320540277716 Order of pole (six term test) 0.9999999999991154 TOP MAIN SOLVE Loop x[1] -1.5779999999999363 y[1] (closed_form) 0.28652605496029826 y[1] (numeric) 0.2865260549602745 absolute error 2.375877272697835e-14 relative error 8.292011255405873e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8681766511761673 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8681766511761453 Order of pole (six term test) 0.9999999999996732 TOP MAIN SOLVE Loop x[1] -1.5789999999999362 y[1] (closed_form) 0.2862671083959159 y[1] (numeric) 0.28626710839589214 absolute error 2.375877272697835e-14 relative error 8.299511899955779e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8690214016965667 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.869021401696531 Order of pole (six term test) 0.9999999999994706 TOP MAIN SOLVE Loop x[1] -1.5799999999999361 y[1] (closed_form) 0.2860084658506057 y[1] (numeric) 0.2860084658505819 absolute error 2.375877272697835e-14 relative error 8.307017296260231e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8698663053811624 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8698663053811069 Order of pole (six term test) 0.9999999999991758 TOP MAIN SOLVE Loop x[1] -1.580999999999936 y[1] (closed_form) 0.2857501269445104 y[1] (numeric) 0.28575012694448665 absolute error 2.375877272697835e-14 relative error 8.314527444319228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8707113620224254 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8707113620223845 Order of pole (six term test) 0.9999999999993996 TOP MAIN SOLVE Loop x[1] -1.581999999999936 y[1] (closed_form) 0.2854920912981034 y[1] (numeric) 0.2854920912980796 absolute error 2.375877272697835e-14 relative error 8.32204234413277e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.871556571413164 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.871556571413102 Order of pole (six term test) 0.9999999999990834 TOP MAIN SOLVE Loop x[1] -1.5829999999999358 y[1] (closed_form) 0.2852343585321891 y[1] (numeric) 0.28523435853216533 absolute error 2.375877272697835e-14 relative error 8.329561995700857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.872401933346523 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8724019333464528 Order of pole (six term test) 0.999999999998959 TOP MAIN SOLVE Loop x[1] -1.5839999999999357 y[1] (closed_form) 0.284976928267904 y[1] (numeric) 0.2849769282678802 absolute error 2.3814283878209608e-14 relative error 8.356565572852983e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8732474476159833 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8732474476159244 Order of pole (six term test) 0.9999999999991296 TOP MAIN SOLVE Loop x[1] -1.5849999999999356 y[1] (closed_form) 0.2847198001267169 y[1] (numeric) 0.28471980012669307 absolute error 2.3814283878209608e-14 relative error 8.364112319413987e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8740931140153618 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.874093114015311 Order of pole (six term test) 0.9999999999992433 TOP MAIN SOLVE Loop x[1] -1.5859999999999355 y[1] (closed_form) 0.2844629737304299 y[1] (numeric) 0.284462973730406 absolute error 2.3869795029440866e-14 relative error 8.39117819673114e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8749389323388097 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8749389323387897 Order of pole (six term test) 0.9999999999997087 TOP MAIN SOLVE Loop x[1] -1.5869999999999354 y[1] (closed_form) 0.2842064487011789 y[1] (numeric) 0.284206448701155 absolute error 2.3869795029440866e-14 relative error 8.398752082693982e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8757849023808126 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8757849023807653 Order of pole (six term test) 0.9999999999993001 TOP MAIN SOLVE Loop x[1] -1.5879999999999352 y[1] (closed_form) 0.2839502246614343 y[1] (numeric) 0.28395022466141046 absolute error 2.3869795029440866e-14 relative error 8.406330742615828e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8766310239361903 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8766310239361963 Order of pole (six term test) 1.0000000000000888 TOP MAIN SOLVE Loop x[1] -1.5889999999999351 y[1] (closed_form) 0.2836943012340017 y[1] (numeric) 0.28369430123397776 absolute error 2.3925306180672123e-14 relative error 8.433481418767604e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8774772968000955 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8774772968000801 Order of pole (six term test) 0.9999999999997691 TOP MAIN SOLVE Loop x[1] -1.589999999999935 y[1] (closed_form) 0.2834386780420222 y[1] (numeric) 0.28343867804199824 absolute error 2.398081733190338e-14 relative error 8.460672162868337e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8783237207680132 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8783237207679635 Order of pole (six term test) 0.999999999999261 TOP MAIN SOLVE Loop x[1] -1.590999999999935 y[1] (closed_form) 0.2831833547089735 y[1] (numeric) 0.2831833547089495 absolute error 2.398081733190338e-14 relative error 8.468300460861614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.879170295635761 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8791702956357867 Order of pole (six term test) 1.0000000000003801 TOP MAIN SOLVE Loop x[1] -1.5919999999999348 y[1] (closed_form) 0.28292833085867014 y[1] (numeric) 0.2829283308586461 absolute error 2.403632848313464e-14 relative error 8.4955537715809e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.880017021199487 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8800170211994707 Order of pole (six term test) 0.9999999999997584 TOP MAIN SOLVE Loop x[1] -1.5929999999999347 y[1] (closed_form) 0.2826736061152644 y[1] (numeric) 0.2826736061152403 absolute error 2.4091839634365897e-14 relative error 8.522847239066986e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.880863897255671 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.88086389725556 Order of pole (six term test) 0.9999999999983373 TOP MAIN SOLVE Loop x[1] -1.5939999999999346 y[1] (closed_form) 0.2824191801032465 y[1] (numeric) 0.2824191801032224 absolute error 2.4091839634365897e-14 relative error 8.530525308358458e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.881710923601123 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8817109236010952 Order of pole (six term test) 0.9999999999995843 TOP MAIN SOLVE Loop x[1] -1.5949999999999345 y[1] (closed_form) 0.2821650524474458 y[1] (numeric) 0.2821650524474217 absolute error 2.4091839634365897e-14 relative error 8.538208196017856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8825581000329819 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8825581000329001 Order of pole (six term test) 0.9999999999987779 TOP MAIN SOLVE Loop x[1] -1.5959999999999344 y[1] (closed_form) 0.28191122277303077 y[1] (numeric) 0.2819112227730066 absolute error 2.4147350785597155e-14 relative error 8.565586906427773e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8834054263487165 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.883405426348619 Order of pole (six term test) 0.9999999999985469 TOP MAIN SOLVE Loop x[1] -1.5969999999999342 y[1] (closed_form) 0.28165769070551 y[1] (numeric) 0.28165769070548585 absolute error 2.4147350785597155e-14 relative error 8.573297155533615e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8842529023461234 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8842529023460686 Order of pole (six term test) 0.9999999999991829 TOP MAIN SOLVE Loop x[1] -1.5979999999999341 y[1] (closed_form) 0.2814044558707327 y[1] (numeric) 0.2814044558707085 absolute error 2.4202861936828413e-14 relative error 8.60073869901561e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.885100527823328 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8851005278233486 Order of pole (six term test) 1.000000000000309 TOP MAIN SOLVE Loop x[1] -1.598999999999934 y[1] (closed_form) 0.28115151789488907 y[1] (numeric) 0.2811515178948648 absolute error 2.425837308805967e-14 relative error 8.628220565797861e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.885948302578782 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8859483025788046 Order of pole (six term test) 1.0000000000003304 TOP MAIN SOLVE Loop x[1] -1.599999999999934 y[1] (closed_form) 0.28089887640451106 y[1] (numeric) 0.2808988764044868 absolute error 2.425837308805967e-14 relative error 8.63598081934873e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8867962264112648 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8867962264113618 Order of pole (six term test) 1.0000000000014424 TOP MAIN SOLVE Loop x[1] -1.6009999999999338 y[1] (closed_form) 0.28064653102647297 y[1] (numeric) 0.28064653102644865 absolute error 2.4313884239290928e-14 relative error 8.663525663532051e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8876442991198814 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8876442991198252 Order of pole (six term test) 0.9999999999991616 TOP MAIN SOLVE Loop x[1] -1.6019999999999337 y[1] (closed_form) 0.28039448138799183 y[1] (numeric) 0.28039448138796746 absolute error 2.4369395390522186e-14 relative error 8.69111091983347e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8884925205040626 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.888492520504047 Order of pole (six term test) 0.9999999999997691 TOP MAIN SOLVE Loop x[1] -1.6029999999999336 y[1] (closed_form) 0.2801427271166281 y[1] (numeric) 0.2801427271166037 absolute error 2.4369395390522186e-14 relative error 8.698921311056132e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8893408903635647 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8893408903634934 Order of pole (six term test) 0.9999999999989377 TOP MAIN SOLVE Loop x[1] -1.6039999999999335 y[1] (closed_form) 0.2798912678402862 y[1] (numeric) 0.27989126784026175 absolute error 2.4424906541753444e-14 relative error 8.726569689087614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8901894084984674 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.890189408498479 Order of pole (six term test) 1.000000000000174 TOP MAIN SOLVE Loop x[1] -1.6049999999999334 y[1] (closed_form) 0.27964010318721483 y[1] (numeric) 0.2796401031871904 absolute error 2.4424906541753444e-14 relative error 8.734407641596863e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8910380747091757 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8910380747091877 Order of pole (six term test) 1.0000000000001812 TOP MAIN SOLVE Loop x[1] -1.6059999999999333 y[1] (closed_form) 0.2793892327860079 y[1] (numeric) 0.2793892327859835 absolute error 2.4424906541753444e-14 relative error 8.74225047908742e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8918868887964169 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8918868887963192 Order of pole (six term test) 0.9999999999985363 TOP MAIN SOLVE Loop x[1] -1.6069999999999331 y[1] (closed_form) 0.2791386562656049 y[1] (numeric) 0.27913865626558043 absolute error 2.4480417692984702e-14 relative error 8.76998478838101e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8927358505612413 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8927358505612109 Order of pole (six term test) 0.9999999999995453 TOP MAIN SOLVE Loop x[1] -1.607999999999933 y[1] (closed_form) 0.2788883732552911 y[1] (numeric) 0.2788883732552666 absolute error 2.4480417692984702e-14 relative error 8.777855242669303e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8935849598050214 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8935849598049577 Order of pole (six term test) 0.9999999999990408 TOP MAIN SOLVE Loop x[1] -1.608999999999933 y[1] (closed_form) 0.2786383833846985 y[1] (numeric) 0.278638383384674 absolute error 2.4480417692984702e-14 relative error 8.785730593041135e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8944342163294519 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8944342163294365 Order of pole (six term test) 0.9999999999997762 TOP MAIN SOLVE Loop x[1] -1.6099999999999328 y[1] (closed_form) 0.2783886862838062 y[1] (numeric) 0.27838868628378166 absolute error 2.453592884421596e-14 relative error 8.813551000130284e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8952836199365475 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.895283619936497 Order of pole (six term test) 0.9999999999992397 TOP MAIN SOLVE Loop x[1] -1.6109999999999327 y[1] (closed_form) 0.2781392815829408 y[1] (numeric) 0.27813928158291623 absolute error 2.4591439995447217e-14 relative error 8.841412063586595e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8961331704286446 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.896133170428573 Order of pole (six term test) 0.9999999999989342 TOP MAIN SOLVE Loop x[1] -1.6119999999999326 y[1] (closed_form) 0.27789016891277707 y[1] (numeric) 0.2778901689127525 absolute error 2.4591439995447217e-14 relative error 8.849337884697126e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8969828676083984 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8969828676082945 Order of pole (six term test) 0.9999999999984439 TOP MAIN SOLVE Loop x[1] -1.6129999999999325 y[1] (closed_form) 0.27764134790433825 y[1] (numeric) 0.27764134790431366 absolute error 2.4591439995447217e-14 relative error 8.857268624095657e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8978327112787845 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.897832711278766 Order of pole (six term test) 0.9999999999997158 TOP MAIN SOLVE Loop x[1] -1.6139999999999324 y[1] (closed_form) 0.27739281818899675 y[1] (numeric) 0.27739281818897216 absolute error 2.4591439995447217e-14 relative error 8.865204281782187e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8986827012430965 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.898682701243062 Order of pole (six term test) 0.9999999999994884 TOP MAIN SOLVE Loop x[1] -1.6149999999999323 y[1] (closed_form) 0.27714457939847453 y[1] (numeric) 0.2771445793984499 absolute error 2.4646951146678475e-14 relative error 8.893174530121853e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8995328373049467 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.899532837304932 Order of pole (six term test) 0.9999999999997726 TOP MAIN SOLVE Loop x[1] -1.6159999999999322 y[1] (closed_form) 0.2768966311648434 y[1] (numeric) 0.2768966311648188 absolute error 2.4646951146678475e-14 relative error 8.901137960037345e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.900383119268265 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9003831192682121 Order of pole (six term test) 0.9999999999992113 TOP MAIN SOLVE Loop x[1] -1.616999999999932 y[1] (closed_form) 0.27664897312052594 y[1] (numeric) 0.2766489731205013 absolute error 2.4646951146678475e-14 relative error 8.909106319343065e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9012335469372983 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9012335469371866 Order of pole (six term test) 0.9999999999983302 TOP MAIN SOLVE Loop x[1] -1.617999999999932 y[1] (closed_form) 0.2764016048982955 y[1] (numeric) 0.2764016048982708 absolute error 2.4702462297909733e-14 relative error 8.937163120669732e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9020841201166103 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.90208412011661 Order of pole (six term test) 0.9999999999999964 TOP MAIN SOLVE Loop x[1] -1.6189999999999318 y[1] (closed_form) 0.27615452613127695 y[1] (numeric) 0.27615452613125224 absolute error 2.4702462297909733e-14 relative error 8.945159307715565e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9029348386110805 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9029348386110252 Order of pole (six term test) 0.9999999999991758 TOP MAIN SOLVE Loop x[1] -1.6199999999999317 y[1] (closed_form) 0.275907736452947 y[1] (numeric) 0.27590773645292227 absolute error 2.4702462297909733e-14 relative error 8.953160435253857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9037857022259042 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.903785702225819 Order of pole (six term test) 0.9999999999987281 TOP MAIN SOLVE Loop x[1] -1.6209999999999316 y[1] (closed_form) 0.27566123549713467 y[1] (numeric) 0.2756612354971099 absolute error 2.475797344914099e-14 relative error 8.981303956100978e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.904636710766591 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9046367107665794 Order of pole (six term test) 0.9999999999998259 TOP MAIN SOLVE Loop x[1] -1.6219999999999315 y[1] (closed_form) 0.27541502289802183 y[1] (numeric) 0.2754150228979971 absolute error 2.475797344914099e-14 relative error 8.989332966890534e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9054878640389652 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9054878640388302 Order of pole (six term test) 0.999999999997975 TOP MAIN SOLVE Loop x[1] -1.6229999999999314 y[1] (closed_form) 0.27516909829014363 y[1] (numeric) 0.2751690982901188 absolute error 2.481348460037225e-14 relative error 9.017540397726066e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9063391618491652 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9063391618490448 Order of pole (six term test) 0.9999999999981952 TOP MAIN SOLVE Loop x[1] -1.6239999999999313 y[1] (closed_form) 0.27492346130838863 y[1] (numeric) 0.2749234613083638 absolute error 2.481348460037225e-14 relative error 9.025597336175807e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.907190604003642 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.907190604003606 Order of pole (six term test) 0.9999999999994529 TOP MAIN SOLVE Loop x[1] -1.6249999999999312 y[1] (closed_form) 0.2746781115879997 y[1] (numeric) 0.2746781115879749 absolute error 2.481348460037225e-14 relative error 9.033659237322466e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9080421903091598 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9080421903091467 Order of pole (six term test) 0.999999999999801 TOP MAIN SOLVE Loop x[1] -1.625999999999931 y[1] (closed_form) 0.2744330487645742 y[1] (numeric) 0.2744330487645493 absolute error 2.4868995751603507e-14 relative error 9.06195367633644e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9088939205727948 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9088939205727342 Order of pole (six term test) 0.9999999999990905 TOP MAIN SOLVE Loop x[1] -1.626999999999931 y[1] (closed_form) 0.2741882724740643 y[1] (numeric) 0.2741882724740394 absolute error 2.4924506902834764e-14 relative error 9.090289193602325e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9097457946019347 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9097457946019478 Order of pole (six term test) 1.000000000000199 TOP MAIN SOLVE Loop x[1] -1.6279999999999308 y[1] (closed_form) 0.2739437823527776 y[1] (numeric) 0.27394378235275263 absolute error 2.4980018054066022e-14 relative error 9.118665822426812e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9105978122042784 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.910597812204128 Order of pole (six term test) 0.9999999999977476 TOP MAIN SOLVE Loop x[1] -1.6289999999999307 y[1] (closed_form) 0.27369957803737743 y[1] (numeric) 0.27369957803735245 absolute error 2.4980018054066022e-14 relative error 9.12680181430702e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9114499731878347 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.911449973187763 Order of pole (six term test) 0.99999999999892 TOP MAIN SOLVE Loop x[1] -1.6299999999999306 y[1] (closed_form) 0.27345565916488335 y[1] (numeric) 0.2734556591648583 absolute error 2.503552920529728e-14 relative error 9.155242675084595e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9123022773609233 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9123022773608882 Order of pole (six term test) 0.9999999999994742 TOP MAIN SOLVE Loop x[1] -1.6309999999999305 y[1] (closed_form) 0.27321202537267125 y[1] (numeric) 0.27321202537264627 absolute error 2.4980018054066022e-14 relative error 9.14308878607827e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9131547245321727 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.913154724532183 Order of pole (six term test) 1.0000000000001528 TOP MAIN SOLVE Loop x[1] -1.6319999999999304 y[1] (closed_form) 0.2729686762984743 y[1] (numeric) 0.2729686762984493 absolute error 2.503552920529728e-14 relative error 9.17157585433813e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.91400731451052 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9140073145104084 Order of pole (six term test) 0.9999999999983267 TOP MAIN SOLVE Loop x[1] -1.6329999999999303 y[1] (closed_form) 0.2727256115803828 y[1] (numeric) 0.2727256115803577 absolute error 2.5091040356528538e-14 relative error 9.200104167383356e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9148600471052115 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9148600471051298 Order of pole (six term test) 0.9999999999987814 TOP MAIN SOLVE Loop x[1] -1.6339999999999302 y[1] (closed_form) 0.27248283085684466 y[1] (numeric) 0.27248283085681957 absolute error 2.5091040356528538e-14 relative error 9.208301410267832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9157129221258 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9157129221258242 Order of pole (six term test) 1.0000000000003588 TOP MAIN SOLVE Loop x[1] -1.63499999999993 y[1] (closed_form) 0.2722403337666662 y[1] (numeric) 0.27224033376664103 absolute error 2.5146551507759796e-14 relative error 9.23689416620852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9165659393821468 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9165659393821077 Order of pole (six term test) 0.9999999999994102 TOP MAIN SOLVE Loop x[1] -1.63599999999993 y[1] (closed_form) 0.2719981199490119 y[1] (numeric) 0.2719981199489867 absolute error 2.5202062658991053e-14 relative error 9.265528255752419e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9174190986844193 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9174190986844002 Order of pole (six term test) 0.9999999999997087 TOP MAIN SOLVE Loop x[1] -1.6369999999999298 y[1] (closed_form) 0.2717561890434053 y[1] (numeric) 0.2717561890433801 absolute error 2.5202062658991053e-14 relative error 9.273776890860704e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9182723998430906 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9182723998430389 Order of pole (six term test) 0.9999999999992255 TOP MAIN SOLVE Loop x[1] -1.6379999999999297 y[1] (closed_form) 0.2715145406897291 y[1] (numeric) 0.2715145406897039 absolute error 2.5202062658991053e-14 relative error 9.282030566381524e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9191258426689402 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9191258426688453 Order of pole (six term test) 0.9999999999985825 TOP MAIN SOLVE Loop x[1] -1.6389999999999296 y[1] (closed_form) 0.2712731745282254 y[1] (numeric) 0.2712731745282002 absolute error 2.5202062658991053e-14 relative error 9.290289282314875e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9199794269730521 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9199794269729966 Order of pole (six term test) 0.9999999999991651 TOP MAIN SOLVE Loop x[1] -1.6399999999999295 y[1] (closed_form) 0.2710320901994966 y[1] (numeric) 0.27103209019947133 absolute error 2.525757381022231e-14 relative error 9.31903443301904e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9208331525668147 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9208331525667781 Order of pole (six term test) 0.9999999999994493 TOP MAIN SOLVE Loop x[1] -1.6409999999999294 y[1] (closed_form) 0.2707912873445049 y[1] (numeric) 0.27079128734447966 absolute error 2.525757381022231e-14 relative error 9.327321442986174e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9216870192619215 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9216870192619098 Order of pole (six term test) 0.9999999999998224 TOP MAIN SOLVE Loop x[1] -1.6419999999999293 y[1] (closed_form) 0.27055076560457353 y[1] (numeric) 0.2705507656045482 absolute error 2.531308496145357e-14 relative error 9.356131336346019e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9225410268703678 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9225410268703331 Order of pole (six term test) 0.9999999999994813 TOP MAIN SOLVE Loop x[1] -1.6429999999999292 y[1] (closed_form) 0.27031052462138627 y[1] (numeric) 0.27031052462136096 absolute error 2.531308496145357e-14 relative error 9.364446684755856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9233951752044527 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9233951752043794 Order of pole (six term test) 0.9999999999988987 TOP MAIN SOLVE Loop x[1] -1.643999999999929 y[1] (closed_form) 0.2700705640369886 y[1] (numeric) 0.2700705640369632 absolute error 2.5368596112684827e-14 relative error 9.393321409589224e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9242494640767778 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9242494640768537 Order of pole (six term test) 1.0000000000011369 TOP MAIN SOLVE Loop x[1] -1.644999999999929 y[1] (closed_form) 0.2698308834937873 y[1] (numeric) 0.2698308834937619 absolute error 2.5424107263916085e-14 relative error 9.422237712274867e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9251038933002464 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9251038933002529 Order of pole (six term test) 1.0000000000000888 TOP MAIN SOLVE Loop x[1] -1.6459999999999289 y[1] (closed_form) 0.26959148263455124 y[1] (numeric) 0.2695914826345258 absolute error 2.5424107263916085e-14 relative error 9.430604785975421e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9259584626880626 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9259584626880024 Order of pole (six term test) 0.999999999999087 TOP MAIN SOLVE Loop x[1] -1.6469999999999287 y[1] (closed_form) 0.2693523611024116 y[1] (numeric) 0.26935236110238614 absolute error 2.5479618415147343e-14 relative error 9.459586064463577e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.926813172053732 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9268131720536945 Order of pole (six term test) 0.9999999999994351 TOP MAIN SOLVE Loop x[1] -1.6479999999999286 y[1] (closed_form) 0.269113518540862 y[1] (numeric) 0.26911351854083654 absolute error 2.5479618415147343e-14 relative error 9.467981598731367e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9276680212110602 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.927668021211006 Order of pole (six term test) 0.9999999999991829 TOP MAIN SOLVE Loop x[1] -1.6489999999999285 y[1] (closed_form) 0.2688749545937591 y[1] (numeric) 0.26887495459373356 absolute error 2.55351295663786e-14 relative error 9.497027941839884e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9285230099741522 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.928523009974228 Order of pole (six term test) 1.0000000000011262 TOP MAIN SOLVE Loop x[1] -1.6499999999999284 y[1] (closed_form) 0.2686366689053226 y[1] (numeric) 0.2686366689052971 absolute error 2.55351295663786e-14 relative error 9.505451981083831e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9293781381574127 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9293781381573902 Order of pole (six term test) 0.9999999999996589 TOP MAIN SOLVE Loop x[1] -1.6509999999999283 y[1] (closed_form) 0.2683986611201359 y[1] (numeric) 0.26839866112011035 absolute error 2.55351295663786e-14 relative error 9.513881127353692e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9302334055755441 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9302334055755523 Order of pole (six term test) 1.0000000000001172 TOP MAIN SOLVE Loop x[1] -1.6519999999999282 y[1] (closed_form) 0.2681609308831461 y[1] (numeric) 0.2681609308831205 absolute error 2.5590640717609858e-14 relative error 9.543016066259572e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9310888120435483 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9310888120435885 Order of pole (six term test) 1.0000000000005898 TOP MAIN SOLVE Loop x[1] -1.652999999999928 y[1] (closed_form) 0.26792347783966436 y[1] (numeric) 0.2679234778396387 absolute error 2.5646151868841116e-14 relative error 9.572192805062329e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9319443573767237 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9319443573765938 Order of pole (six term test) 0.9999999999980531 TOP MAIN SOLVE Loop x[1] -1.653999999999928 y[1] (closed_form) 0.2676863016353662 y[1] (numeric) 0.2676863016353406 absolute error 2.5646151868841116e-14 relative error 9.580673987485356e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9328000413906663 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9328000413907884 Order of pole (six term test) 1.0000000000018225 TOP MAIN SOLVE Loop x[1] -1.6549999999999279 y[1] (closed_form) 0.267449401916292 y[1] (numeric) 0.26744940191626637 absolute error 2.5646151868841116e-14 relative error 9.589160299138754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9336558639012686 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9336558639011385 Order of pole (six term test) 0.9999999999980531 TOP MAIN SOLVE Loop x[1] -1.6559999999999278 y[1] (closed_form) 0.267212778328847 y[1] (numeric) 0.2672127783288213 absolute error 2.5701663020072374e-14 relative error 9.618425877987943e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9345118247247186 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9345118247249071 Order of pole (six term test) 1.0000000000028137 TOP MAIN SOLVE Loop x[1] -1.6569999999999276 y[1] (closed_form) 0.2669764305198015 y[1] (numeric) 0.26697643051977576 absolute error 2.5757174171303632e-14 relative error 9.64773336775631e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9353679236775008 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9353679236774317 Order of pole (six term test) 0.9999999999989662 TOP MAIN SOLVE Loop x[1] -1.6579999999999275 y[1] (closed_form) 0.26674035813629154 y[1] (numeric) 0.2667403581362658 absolute error 2.5757174171303632e-14 relative error 9.656271870994096e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9362241605763935 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.936224160576454 Order of pole (six term test) 1.0000000000009024 TOP MAIN SOLVE Loop x[1] -1.6589999999999274 y[1] (closed_form) 0.2665045608258188 y[1] (numeric) 0.266504560825793 absolute error 2.581268532253489e-14 relative error 9.685644869472033e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9370805352384706 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9370805352383715 Order of pole (six term test) 0.999999999998515 TOP MAIN SOLVE Loop x[1] -1.6599999999999273 y[1] (closed_form) 0.266269038236251 y[1] (numeric) 0.26626903823622516 absolute error 2.581268532253489e-14 relative error 9.69421209973058e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9379370474810989 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.937937047480953 Order of pole (six term test) 0.9999999999978186 TOP MAIN SOLVE Loop x[1] -1.6609999999999272 y[1] (closed_form) 0.26603379001582217 y[1] (numeric) 0.2660337900157963 absolute error 2.5868196473766147e-14 relative error 9.723650695735926e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9387936971219393 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9387936971215418 Order of pole (six term test) 0.9999999999940563 TOP MAIN SOLVE Loop x[1] -1.661999999999927 y[1] (closed_form) 0.2657988158131329 y[1] (numeric) 0.265798815813107 absolute error 2.5923707624997405e-14 relative error 9.753131346989446e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9396504839789455 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.939650484091791 Order of pole (six term test) 1.0000000016871482 TOP MAIN SOLVE Loop x[1] -1.662999999999927 y[1] (closed_form) 0.2655641152771505 y[1] (numeric) 0.2655641152771246 absolute error 2.5923707624997405e-14 relative error 9.761750979774757e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9405074078703635 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9405074078702105 Order of pole (six term test) 0.9999999999977085 TOP MAIN SOLVE Loop x[1] -1.6639999999999269 y[1] (closed_form) 0.26532968805720947 y[1] (numeric) 0.2653296880571835 absolute error 2.5979218776228663e-14 relative error 9.791297372884679e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9413644686147309 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9413644686146974 Order of pole (six term test) 0.999999999999492 TOP MAIN SOLVE Loop x[1] -1.6649999999999268 y[1] (closed_form) 0.26509553380301143 y[1] (numeric) 0.2650955338029854 absolute error 2.603472992745992e-14 relative error 9.820885910060614e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.942221666030877 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9422216660309155 Order of pole (six term test) 1.000000000000572 TOP MAIN SOLVE Loop x[1] -1.6659999999999267 y[1] (closed_form) 0.2648616521646255 y[1] (numeric) 0.26486165216459945 absolute error 2.603472992745992e-14 relative error 9.82955807859945e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.943078999937922 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.943078999938172 Order of pole (six term test) 1.0000000000037303 TOP MAIN SOLVE Loop x[1] -1.6669999999999265 y[1] (closed_form) 0.2646280427924887 y[1] (numeric) 0.26462804279246266 absolute error 2.603472992745992e-14 relative error 9.838235454084271e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9439364701552762 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9439364701551367 Order of pole (six term test) 0.999999999997911 TOP MAIN SOLVE Loop x[1] -1.6679999999999264 y[1] (closed_form) 0.26439470533740594 y[1] (numeric) 0.2643947053373799 absolute error 2.603472992745992e-14 relative error 9.846918036515079e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9447940765026395 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9447940765028686 Order of pole (six term test) 1.0000000000034213 TOP MAIN SOLVE Loop x[1] -1.6689999999999263 y[1] (closed_form) 0.2641616394505504 y[1] (numeric) 0.26416163945052434 absolute error 2.603472992745992e-14 relative error 9.85560582589187e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9456518188000016 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9456518187999894 Order of pole (six term test) 0.9999999999998153 TOP MAIN SOLVE Loop x[1] -1.6699999999999262 y[1] (closed_form) 0.26392884478346357 y[1] (numeric) 0.2639288447834375 absolute error 2.609024107869118e-14 relative error 9.885331442304657e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9465096968676405 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9465096968678652 Order of pole (six term test) 1.0000000000033609 TOP MAIN SOLVE Loop x[1] -1.670999999999926 y[1] (closed_form) 0.2636963209880557 y[1] (numeric) 0.26369632098802953 absolute error 2.6145752229922437e-14 relative error 9.915099358214682e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9473677105261227 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9473677105260172 Order of pole (six term test) 0.9999999999984155 TOP MAIN SOLVE Loop x[1] -1.671999999999926 y[1] (closed_form) 0.26346406771660574 y[1] (numeric) 0.2634640677165796 absolute error 2.6145752229922437e-14 relative error 9.923839883185143e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9482258595963027 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.948225859596172 Order of pole (six term test) 0.999999999998046 TOP MAIN SOLVE Loop x[1] -1.6729999999999259 y[1] (closed_form) 0.2632320846217619 y[1] (numeric) 0.26323208462173575 absolute error 2.6145752229922437e-14 relative error 9.932585637306052e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9490841438993218 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9490841438991569 Order of pole (six term test) 0.9999999999975273 TOP MAIN SOLVE Loop x[1] -1.6739999999999258 y[1] (closed_form) 0.2630003713565416 y[1] (numeric) 0.2630003713565154 absolute error 2.6201263381153694e-14 relative error 9.962443492383302e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.949942563256608 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9499425632564458 Order of pole (six term test) 0.9999999999975664 TOP MAIN SOLVE Loop x[1] -1.6749999999999257 y[1] (closed_form) 0.2627689275743315 y[1] (numeric) 0.26276892757430537 absolute error 2.6145752229922437e-14 relative error 9.950092832999206e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9508011174898765 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9508011174896418 Order of pole (six term test) 0.9999999999964793 TOP MAIN SOLVE Loop x[1] -1.6759999999999255 y[1] (closed_form) 0.26253775292888837 y[1] (numeric) 0.26253775292886217 absolute error 2.6201263381153694e-14 relative error 9.979998338848675e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9516598064211268 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9516598064210697 Order of pole (six term test) 0.9999999999991438 TOP MAIN SOLVE Loop x[1] -1.6769999999999254 y[1] (closed_form) 0.26230684707433843 y[1] (numeric) 0.26230684707431223 absolute error 2.6201263381153694e-14 relative error 9.988783622460374e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9525186298726447 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9525186298727266 Order of pole (six term test) 1.0000000000012257 TOP MAIN SOLVE Loop x[1] -1.6779999999999253 y[1] (closed_form) 0.26207620966517814 y[1] (numeric) 0.26207620966515194 absolute error 2.6201263381153694e-14 relative error 9.997574146324749e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9533775876670003 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9533775876670227 Order of pole (six term test) 1.0000000000003233 TOP MAIN SOLVE Loop x[1] -1.6789999999999252 y[1] (closed_form) 0.2618458403562742 y[1] (numeric) 0.2618458403562479 absolute error 2.6256774532384952e-14 relative error 1.0027569846692737e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9542366796270478 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.954236679627101 Order of pole (six term test) 1.0000000000007887 TOP MAIN SOLVE Loop x[1] -1.679999999999925 y[1] (closed_form) 0.2616157388028636 y[1] (numeric) 0.2616157388028373 absolute error 2.631228568361621e-14 relative error 1.0057608079704798e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9550959055759256 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9550959055758796 Order of pole (six term test) 0.9999999999993108 TOP MAIN SOLVE Loop x[1] -1.680999999999925 y[1] (closed_form) 0.26138590466055406 y[1] (numeric) 0.2613859046605277 absolute error 2.6367796834847468e-14 relative error 1.0087688878667622e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9559552653370547 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9559552653370769 Order of pole (six term test) 1.000000000000334 TOP MAIN SOLVE Loop x[1] -1.6819999999999249 y[1] (closed_form) 0.2611563375853239 y[1] (numeric) 0.26115633758529755 absolute error 2.6367796834847468e-14 relative error 1.0096556368743183e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9568147587341391 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9568147587340525 Order of pole (six term test) 0.9999999999987068 TOP MAIN SOLVE Loop x[1] -1.6829999999999248 y[1] (closed_form) 0.2609270372335227 y[1] (numeric) 0.26092703723349625 absolute error 2.6423307986078726e-14 relative error 1.0126703720025217e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9576743855911654 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9576743855911967 Order of pole (six term test) 1.0000000000004654 TOP MAIN SOLVE Loop x[1] -1.6839999999999247 y[1] (closed_form) 0.26069800326187065 y[1] (numeric) 0.2606980032618442 absolute error 2.6423307986078726e-14 relative error 1.013560044782413e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.958534145732401 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9585341457324374 Order of pole (six term test) 1.0000000000005471 TOP MAIN SOLVE Loop x[1] -1.6849999999999246 y[1] (closed_form) 0.26046923532745964 y[1] (numeric) 0.26046923532743316 absolute error 2.6478819137309983e-14 relative error 1.0165814440243219e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9593940389823956 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9593940389824656 Order of pole (six term test) 1.000000000001041 TOP MAIN SOLVE Loop x[1] -1.6859999999999244 y[1] (closed_form) 0.2602407330877527 y[1] (numeric) 0.2602407330877262 absolute error 2.6478819137309983e-14 relative error 1.0174740450174406e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9602540651659788 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.960254065165788 Order of pole (six term test) 0.9999999999971401 TOP MAIN SOLVE Loop x[1] -1.6869999999999243 y[1] (closed_form) 0.26001249620058464 y[1] (numeric) 0.2600124962005581 absolute error 2.653433028854124e-14 relative error 1.020502117254839e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9611142241082606 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9611142241082997 Order of pole (six term test) 1.0000000000005862 TOP MAIN SOLVE Loop x[1] -1.6879999999999242 y[1] (closed_form) 0.2597845243241619 y[1] (numeric) 0.2597845243241353 absolute error 2.65898414397725e-14 relative error 1.023534466071328e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9619745156346309 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9619745156345194 Order of pole (six term test) 0.9999999999983302 TOP MAIN SOLVE Loop x[1] -1.6889999999999241 y[1] (closed_form) 0.2595568171170626 y[1] (numeric) 0.25955681711703604 absolute error 2.653433028854124e-14 relative error 1.022293715235921e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9628349395707587 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.962834939570769 Order of pole (six term test) 1.0000000000001528 TOP MAIN SOLVE Loop x[1] -1.689999999999924 y[1] (closed_form) 0.25932937423823726 y[1] (numeric) 0.2593293742382107 absolute error 2.65898414397725e-14 relative error 1.025330875758999e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9636954957425916 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9636954957424446 Order of pole (six term test) 0.9999999999977973 TOP MAIN SOLVE Loop x[1] -1.690999999999924 y[1] (closed_form) 0.25910219534700824 y[1] (numeric) 0.25910219534698165 absolute error 2.65898414397725e-14 relative error 1.0262298782980776e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9645561839763561 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9645561839763934 Order of pole (six term test) 1.0000000000005507 TOP MAIN SOLVE Loop x[1] -1.6919999999999238 y[1] (closed_form) 0.25887528010307037 y[1] (numeric) 0.2588752801030437 absolute error 2.6645352591003757e-14 relative error 1.0292737329108826e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9654170040985557 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9654170040986025 Order of pole (six term test) 1.0000000000006999 TOP MAIN SOLVE Loop x[1] -1.6929999999999237 y[1] (closed_form) 0.2586486281664908 y[1] (numeric) 0.2586486281664641 absolute error 2.6700863742235015e-14 relative error 1.0323218774254548e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9662779559359713 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9662779559359558 Order of pole (six term test) 0.9999999999997655 TOP MAIN SOLVE Loop x[1] -1.6939999999999236 y[1] (closed_form) 0.2584222391977093 y[1] (numeric) 0.2584222391976826 absolute error 2.6700863742235015e-14 relative error 1.033226235680404e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.967139039315661 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9671390393154493 Order of pole (six term test) 0.999999999996831 TOP MAIN SOLVE Loop x[1] -1.6949999999999235 y[1] (closed_form) 0.25819611285753824 y[1] (numeric) 0.25819611285751154 absolute error 2.6700863742235015e-14 relative error 1.0341311279526284e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9680002540649584 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9680002540650856 Order of pole (six term test) 1.0000000000018971 TOP MAIN SOLVE Loop x[1] -1.6959999999999233 y[1] (closed_form) 0.25797024880716285 y[1] (numeric) 0.25797024880713615 absolute error 2.6700863742235015e-14 relative error 1.0350365542421275e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9688616000114736 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.968861600011408 Order of pole (six term test) 0.9999999999990123 TOP MAIN SOLVE Loop x[1] -1.6969999999999232 y[1] (closed_form) 0.25774464670814135 y[1] (numeric) 0.2577446467081146 absolute error 2.6756374893466273e-14 relative error 1.0380962411903751e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.969723076983092 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9697230769830745 Order of pole (six term test) 0.9999999999997335 TOP MAIN SOLVE Loop x[1] -1.6979999999999231 y[1] (closed_form) 0.2575193062224048 y[1] (numeric) 0.257519306222378 absolute error 2.681188604469753e-14 relative error 1.0411602313630662e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.970584684807973 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9705846848080044 Order of pole (six term test) 1.0000000000004583 TOP MAIN SOLVE Loop x[1] -1.698999999999923 y[1] (closed_form) 0.25729422701225757 y[1] (numeric) 0.25729422701223076 absolute error 2.681188604469753e-14 relative error 1.0420710311320045e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9714464233145517 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9714464233146136 Order of pole (six term test) 1.0000000000009237 TOP MAIN SOLVE Loop x[1] -1.699999999999923 y[1] (closed_form) 0.25706940874037726 y[1] (numeric) 0.2570694087403504 absolute error 2.6867397195928788e-14 relative error 1.0451417509215593e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9723082923315356 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9723082923315858 Order of pole (six term test) 1.000000000000746 TOP MAIN SOLVE Loop x[1] -1.7009999999999228 y[1] (closed_form) 0.25684485106981464 y[1] (numeric) 0.2568448510697878 absolute error 2.681188604469753e-14 relative error 1.0438942393830438e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9731702916879064 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9731702916880522 Order of pole (six term test) 1.0000000000021814 TOP MAIN SOLVE Loop x[1] -1.7019999999999227 y[1] (closed_form) 0.2566205536639943 y[1] (numeric) 0.2566205536639674 absolute error 2.6867397195928788e-14 relative error 1.04696980862677e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9740324212129183 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.974032421212877 Order of pole (six term test) 0.9999999999993747 TOP MAIN SOLVE Loop x[1] -1.7029999999999226 y[1] (closed_form) 0.256396516186714 y[1] (numeric) 0.25639651618668713 absolute error 2.6867397195928788e-14 relative error 1.0478846435012914e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9748946807360985 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9748946807359615 Order of pole (six term test) 0.999999999997943 TOP MAIN SOLVE Loop x[1] -1.7039999999999225 y[1] (closed_form) 0.25617273830214543 y[1] (numeric) 0.2561727383021185 absolute error 2.6922908347160046e-14 relative error 1.050966957905004e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9757570700872453 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9757570700872178 Order of pole (six term test) 0.9999999999995843 TOP MAIN SOLVE Loop x[1] -1.7049999999999224 y[1] (closed_form) 0.25594921967483386 y[1] (numeric) 0.25594921967480694 absolute error 2.6922908347160046e-14 relative error 1.0518847598505585e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9766195890964289 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9766195890963667 Order of pole (six term test) 0.9999999999990621 TOP MAIN SOLVE Loop x[1] -1.7059999999999222 y[1] (closed_form) 0.2557259599696985 y[1] (numeric) 0.2557259599696715 absolute error 2.6978419498391304e-14 relative error 1.0549738282960413e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9774822375939902 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9774822375939551 Order of pole (six term test) 0.9999999999994671 TOP MAIN SOLVE Loop x[1] -1.7069999999999221 y[1] (closed_form) 0.25550295885203234 y[1] (numeric) 0.25550295885200536 absolute error 2.6978419498391304e-14 relative error 1.0558946017535214e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.978345015410541 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9783450154104243 Order of pole (six term test) 0.999999999998245 TOP MAIN SOLVE Loop x[1] -1.707999999999922 y[1] (closed_form) 0.2552802159875025 y[1] (numeric) 0.25528021598747547 absolute error 2.7033930649622562e-14 relative error 1.0589904331225587e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.979207922376963 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9792079223768526 Order of pole (six term test) 0.9999999999983444 TOP MAIN SOLVE Loop x[1] -1.708999999999922 y[1] (closed_form) 0.25505773104215007 y[1] (numeric) 0.25505773104212304 absolute error 2.7033930649622562e-14 relative error 1.0599141825328563e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9800709583244065 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9800709583243976 Order of pole (six term test) 0.9999999999998685 TOP MAIN SOLVE Loop x[1] -1.7099999999999218 y[1] (closed_form) 0.2548355036823904 y[1] (numeric) 0.2548355036823633 absolute error 2.708944180085382e-14 relative error 1.0630167857072323e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9809341230842918 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.980934123084357 Order of pole (six term test) 1.0000000000009734 TOP MAIN SOLVE Loop x[1] -1.7109999999999217 y[1] (closed_form) 0.2546135335750129 y[1] (numeric) 0.2546135335749858 absolute error 2.708944180085382e-14 relative error 1.0639435155112395e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.981797416488308 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9817974164882282 Order of pole (six term test) 0.9999999999987956 TOP MAIN SOLVE Loop x[1] -1.7119999999999216 y[1] (closed_form) 0.2543918203871814 y[1] (numeric) 0.25439182038715424 absolute error 2.7144952952085077e-14 relative error 1.0670528993727383e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9826608383684112 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9826608383685258 Order of pole (six term test) 1.0000000000017089 TOP MAIN SOLVE Loop x[1] -1.7129999999999215 y[1] (closed_form) 0.25417036378643393 y[1] (numeric) 0.2541703637864068 absolute error 2.7144952952085077e-14 relative error 1.0679826140113473e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9835243885568261 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9835243885568898 Order of pole (six term test) 1.0000000000009557 TOP MAIN SOLVE Loop x[1] -1.7139999999999214 y[1] (closed_form) 0.2539491634406832 y[1] (numeric) 0.253949163440656 absolute error 2.7200464103316335e-14 relative error 1.0710987874417531e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.984388066886044 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9843880668860738 Order of pole (six term test) 1.000000000000444 TOP MAIN SOLVE Loop x[1] -1.7149999999999213 y[1] (closed_form) 0.2537282190182161 y[1] (numeric) 0.2537282190181888 absolute error 2.7255975254547593e-14 relative error 1.0742193107259697e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.985251873188823 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9852518731889142 Order of pole (six term test) 1.0000000000013642 TOP MAIN SOLVE Loop x[1] -1.7159999999999211 y[1] (closed_form) 0.2535075301876941 y[1] (numeric) 0.2535075301876668 absolute error 2.731148640577885e-14 relative error 1.0773441871946658e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.986115807298187 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.986115807298353 Order of pole (six term test) 1.0000000000024798 TOP MAIN SOLVE Loop x[1] -1.716999999999921 y[1] (closed_form) 0.2532870966181534 y[1] (numeric) 0.2532870966181261 absolute error 2.731148640577885e-14 relative error 1.0782817905229761e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9869798690474265 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.986979869047342 Order of pole (six term test) 0.9999999999987281 TOP MAIN SOLVE Loop x[1] -1.717999999999921 y[1] (closed_form) 0.25306691797900477 y[1] (numeric) 0.2530669179789774 absolute error 2.736699755701011e-14 relative error 1.0814134765445937e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.987844058270097 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9878440582701762 Order of pole (six term test) 1.000000000001183 TOP MAIN SOLVE Loop x[1] -1.7189999999999208 y[1] (closed_form) 0.2528469939400335 y[1] (numeric) 0.25284699394000615 absolute error 2.736699755701011e-14 relative error 1.082354080250628e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9887083748000176 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9887083748000027 Order of pole (six term test) 0.9999999999997762 TOP MAIN SOLVE Loop x[1] -1.7199999999999207 y[1] (closed_form) 0.2526273241713998 y[1] (numeric) 0.2526273241713724 absolute error 2.7422508708241367e-14 relative error 1.0854925847069512e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9895728184712735 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.989572818471388 Order of pole (six term test) 1.0000000000017124 TOP MAIN SOLVE Loop x[1] -1.7209999999999206 y[1] (closed_form) 0.25240790834363847 y[1] (numeric) 0.25240790834361104 absolute error 2.7422508708241367e-14 relative error 1.0864361932316019e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9904373891182126 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9904373891180749 Order of pole (six term test) 0.9999999999979359 TOP MAIN SOLVE Loop x[1] -1.7219999999999205 y[1] (closed_form) 0.25218874612765924 y[1] (numeric) 0.25218874612763176 absolute error 2.7478019859472624e-14 relative error 1.0895815250044151e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9913020865754463 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9913020865755986 Order of pole (six term test) 1.0000000000022808 TOP MAIN SOLVE Loop x[1] -1.7229999999999204 y[1] (closed_form) 0.2519698371947465 y[1] (numeric) 0.25196983719471905 absolute error 2.7478019859472624e-14 relative error 1.0905281427885738e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9921669106778492 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9921669106780884 Order of pole (six term test) 1.0000000000035811 TOP MAIN SOLVE Loop x[1] -1.7239999999999203 y[1] (closed_form) 0.2517511812165597 y[1] (numeric) 0.2517511812165322 absolute error 2.7478019859472624e-14 relative error 1.0914753101331297e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9930318612605582 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9930318612604903 Order of pole (six term test) 0.9999999999989804 TOP MAIN SOLVE Loop x[1] -1.7249999999999202 y[1] (closed_form) 0.25153277786513295 y[1] (numeric) 0.2515327778651055 absolute error 2.7478019859472624e-14 relative error 1.0924230270380829e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9938969381589724 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9938969381588934 Order of pole (six term test) 0.9999999999988098 TOP MAIN SOLVE Loop x[1] -1.72599999999992 y[1] (closed_form) 0.25131462681287553 y[1] (numeric) 0.25131462681284794 absolute error 2.758904216193514e-14 relative error 1.097788955295366e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9947621412087517 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9947621412089471 Order of pole (six term test) 1.0000000000029274 TOP MAIN SOLVE Loop x[1] -1.72699999999992 y[1] (closed_form) 0.2510967277325713 y[1] (numeric) 0.2510967277325437 absolute error 2.758904216193514e-14 relative error 1.0987416049212175e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.995627470245818 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9956274702460775 Order of pole (six term test) 1.0000000000038831 TOP MAIN SOLVE Loop x[1] -1.7279999999999198 y[1] (closed_form) 0.2508790802973794 y[1] (numeric) 0.2508790802973518 absolute error 2.758904216193514e-14 relative error 1.0996948063279125e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9964929251063535 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9964929251066115 Order of pole (six term test) 1.000000000003869 TOP MAIN SOLVE Loop x[1] -1.7289999999999197 y[1] (closed_form) 0.2506616841808338 y[1] (numeric) 0.25066168418080614 absolute error 2.7644553313166398e-14 relative error 1.1028631441422418e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9973585056267997 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9973585056268917 Order of pole (six term test) 1.0000000000013785 TOP MAIN SOLVE Loop x[1] -1.7299999999999196 y[1] (closed_form) 0.25044453905684333 y[1] (numeric) 0.2504445390568157 absolute error 2.7644553313166398e-14 relative error 1.1038193692413441e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9982242116438589 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9982242116440048 Order of pole (six term test) 1.0000000000021814 TOP MAIN SOLVE Loop x[1] -1.7309999999999195 y[1] (closed_form) 0.250227644599692 y[1] (numeric) 0.25022764459966435 absolute error 2.7644553313166398e-14 relative error 1.1047761472315128e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9990900429944924 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.99909004299477 Order of pole (six term test) 1.0000000000041567 TOP MAIN SOLVE Loop x[1] -1.7319999999999194 y[1] (closed_form) 0.25001100048403874 y[1] (numeric) 0.2500110004840111 absolute error 2.7644553313166398e-14 relative error 1.1057334781127477e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 1.9999559995159195 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9999559994695812 Order of pole (six term test) 0.9999999993049222 TOP MAIN SOLVE Loop x[1] -1.7329999999999193 y[1] (closed_form) 0.2497946063849175 y[1] (numeric) 0.2497946063848898 absolute error 2.7700064464397656e-14 relative error 1.1089136336960627e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0008220810456185 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.00082208104691 Order of pole (six term test) 1.000000000019373 TOP MAIN SOLVE Loop x[1] -1.7339999999999192 y[1] (closed_form) 0.24957846197773711 y[1] (numeric) 0.2495784619777094 absolute error 2.7727820040013285e-14 relative error 1.1109860931223569e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0016882874213255 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.001688287419915 Order of pole (six term test) 0.9999999999788329 TOP MAIN SOLVE Loop x[1] -1.734999999999919 y[1] (closed_form) 0.24936256693828152 y[1] (numeric) 0.2493625669382538 absolute error 2.7727820040013285e-14 relative error 1.111947971199545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.002554618481034 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0025546184810747 Order of pole (six term test) 1.000000000000604 TOP MAIN SOLVE Loop x[1] -1.735999999999919 y[1] (closed_form) 0.24914692094270968 y[1] (numeric) 0.24914692094268193 absolute error 2.7755575615628914e-14 relative error 1.114024428261395e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0034210740629934 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.003421074062724 Order of pole (six term test) 0.9999999999959428 TOP MAIN SOLVE Loop x[1] -1.7369999999999188 y[1] (closed_form) 0.24893152366755547 y[1] (numeric) 0.2489315236675277 absolute error 2.7783331191244542e-14 relative error 1.1161033677819282e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0042876540057115 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0042876540056134 Order of pole (six term test) 0.9999999999985221 TOP MAIN SOLVE Loop x[1] -1.7379999999999187 y[1] (closed_form) 0.24871637478972777 y[1] (numeric) 0.24871637478969996 absolute error 2.781108676686017e-14 relative error 1.1181847914264789e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.00515435814795 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0051543581481255 Order of pole (six term test) 1.000000000002629 TOP MAIN SOLVE Loop x[1] -1.7389999999999186 y[1] (closed_form) 0.24850147398651046 y[1] (numeric) 0.2485014739864826 absolute error 2.786659791809143e-14 relative error 1.121385618807401e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.006021186328728 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.006021186328786 Order of pole (six term test) 1.0000000000008669 TOP MAIN SOLVE Loop x[1] -1.7399999999999185 y[1] (closed_form) 0.24828682093556223 y[1] (numeric) 0.24828682093553436 absolute error 2.786659791809143e-14 relative error 1.1223550977489713e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0068881383873185 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.006888138387188 Order of pole (six term test) 0.9999999999980353 TOP MAIN SOLVE Loop x[1] -1.7409999999999184 y[1] (closed_form) 0.24807241531491686 y[1] (numeric) 0.248072415314889 absolute error 2.786659791809143e-14 relative error 1.1233251340225e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0077552141632498 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.007755214163242 Order of pole (six term test) 0.9999999999998828 TOP MAIN SOLVE Loop x[1] -1.7419999999999183 y[1] (closed_form) 0.24785825680298307 y[1] (numeric) 0.24785825680295515 absolute error 2.7922109069322687e-14 relative error 1.1265353605515487e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0086224134963033 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0086224134964747 Order of pole (six term test) 1.0000000000025615 TOP MAIN SOLVE Loop x[1] -1.7429999999999182 y[1] (closed_form) 0.24764434507854427 y[1] (numeric) 0.24764434507851635 absolute error 2.7922109069322687e-14 relative error 1.1275084460526145e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0094897362265165 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.009489736226459 Order of pole (six term test) 0.999999999999126 TOP MAIN SOLVE Loop x[1] -1.743999999999918 y[1] (closed_form) 0.2474306798207589 y[1] (numeric) 0.24743067982073097 absolute error 2.7922109069322687e-14 relative error 1.1284820899958616e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.010357182194178 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0103571821941992 Order of pole (six term test) 1.0000000000003197 TOP MAIN SOLVE Loop x[1] -1.744999999999918 y[1] (closed_form) 0.24721726070916025 y[1] (numeric) 0.24721726070913225 absolute error 2.8005375796169574e-14 relative error 1.1328244522989279e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0112247512398294 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0112247512397827 Order of pole (six term test) 0.9999999999993001 TOP MAIN SOLVE Loop x[1] -1.7459999999999178 y[1] (closed_form) 0.24700408742365618 y[1] (numeric) 0.2470040874236282 absolute error 2.7977620220553945e-14 relative error 1.1326784310482816e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.012092443204266 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0120924432042377 Order of pole (six term test) 0.999999999999563 TOP MAIN SOLVE Loop x[1] -1.7469999999999177 y[1] (closed_form) 0.24679115964452966 y[1] (numeric) 0.24679115964450163 absolute error 2.8033131371785203e-14 relative error 1.1359050061664792e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0129602579285346 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.012960257928555 Order of pole (six term test) 1.0000000000002984 TOP MAIN SOLVE Loop x[1] -1.7479999999999176 y[1] (closed_form) 0.24657847705243816 y[1] (numeric) 0.24657847705241007 absolute error 2.808864252301646e-14 relative error 1.1391360210665524e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0138281952539328 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0138281952539883 Order of pole (six term test) 1.0000000000008349 TOP MAIN SOLVE Loop x[1] -1.7489999999999175 y[1] (closed_form) 0.24636603932841383 y[1] (numeric) 0.24636603932838574 absolute error 2.808864252301646e-14 relative error 1.1401182808955823e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.01469625502201 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0146962550219962 Order of pole (six term test) 0.9999999999997939 TOP MAIN SOLVE Loop x[1] -1.7499999999999174 y[1] (closed_form) 0.2461538461538637 y[1] (numeric) 0.24615384615383556 absolute error 2.8144153674247718e-14 relative error 1.143356243016232e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.015564437074566 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0155644370744588 Order of pole (six term test) 0.9999999999983942 TOP MAIN SOLVE Loop x[1] -1.7509999999999173 y[1] (closed_form) 0.2459418972105691 y[1] (numeric) 0.245941897210541 absolute error 2.811639809863209e-14 relative error 1.1432130278542804e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0164327412536505 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.016432741253679 Order of pole (six term test) 1.0000000000004263 TOP MAIN SOLVE Loop x[1] -1.7519999999999172 y[1] (closed_form) 0.24573019218068623 y[1] (numeric) 0.24573019218065809 absolute error 2.8144153674247718e-14 relative error 1.1453274595395762e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.017301167401563 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.017301167401496 Order of pole (six term test) 0.9999999999989875 TOP MAIN SOLVE Loop x[1] -1.752999999999917 y[1] (closed_form) 0.24551873074674554 y[1] (numeric) 0.2455187307467174 absolute error 2.8144153674247718e-14 relative error 1.1463139121258585e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0181697153608535 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.018169715360933 Order of pole (six term test) 1.0000000000011902 TOP MAIN SOLVE Loop x[1] -1.753999999999917 y[1] (closed_form) 0.24530751259165218 y[1] (numeric) 0.24530751259162398 absolute error 2.8199664825478976e-14 relative error 1.1495638485569403e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0190383849743196 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.019038384974308 Order of pole (six term test) 0.9999999999998259 TOP MAIN SOLVE Loop x[1] -1.7549999999999168 y[1] (closed_form) 0.24509653739868545 y[1] (numeric) 0.24509653739865725 absolute error 2.8199664825478976e-14 relative error 1.1505533747956661e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.019907176085007 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0199071760850393 Order of pole (six term test) 1.0000000000004832 TOP MAIN SOLVE Loop x[1] -1.7559999999999167 y[1] (closed_form) 0.24488580485149922 y[1] (numeric) 0.244885804851471 absolute error 2.8227420401094605e-14 relative error 1.15267687394996e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.020776088536211 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0207760885362376 Order of pole (six term test) 1.000000000000398 TOP MAIN SOLVE Loop x[1] -1.7569999999999166 y[1] (closed_form) 0.24467531463412148 y[1] (numeric) 0.24467531463409328 absolute error 2.8199664825478976e-14 relative error 1.1525341192530078e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0216451221714724 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0216451221714347 Order of pole (six term test) 0.9999999999994316 TOP MAIN SOLVE Loop x[1] -1.7579999999999165 y[1] (closed_form) 0.2444650664309547 y[1] (numeric) 0.24446506643092644 absolute error 2.8255175976710234e-14 relative error 1.1557960566398743e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0225142768345807 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0225142768346904 Order of pole (six term test) 1.000000000001645 TOP MAIN SOLVE Loop x[1] -1.7589999999999164 y[1] (closed_form) 0.2442550599267752 y[1] (numeric) 0.24425505992674695 absolute error 2.8255175976710234e-14 relative error 1.156789791178975e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0233835523695713 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0233835523696633 Order of pole (six term test) 1.0000000000013678 TOP MAIN SOLVE Loop x[1] -1.7599999999999163 y[1] (closed_form) 0.2440452948067337 y[1] (numeric) 0.2440452948067054 absolute error 2.8310687127941492e-14 relative error 1.160058715754447e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0242529486207266 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0242529486207568 Order of pole (six term test) 1.0000000000004512 TOP MAIN SOLVE Loop x[1] -1.7609999999999162 y[1] (closed_form) 0.24383577075635468 y[1] (numeric) 0.24383577075632634 absolute error 2.833844270355712e-14 relative error 1.162193824788465e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0251224654325735 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0251224654325477 Order of pole (six term test) 0.9999999999996128 TOP MAIN SOLVE Loop x[1] -1.761999999999916 y[1] (closed_form) 0.24362648746153678 y[1] (numeric) 0.24362648746150842 absolute error 2.836619827917275e-14 relative error 1.1643314556940834e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0259921026498855 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0259921026499748 Order of pole (six term test) 1.000000000001343 TOP MAIN SOLVE Loop x[1] -1.762999999999916 y[1] (closed_form) 0.2434174446085524 y[1] (numeric) 0.24341744460852405 absolute error 2.836619827917275e-14 relative error 1.1653313641834242e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0268618601176804 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0268618601177586 Order of pole (six term test) 1.0000000000011688 TOP MAIN SOLVE Loop x[1] -1.7639999999999159 y[1] (closed_form) 0.24320864188404787 y[1] (numeric) 0.24320864188401953 absolute error 2.833844270355712e-14 relative error 1.165190615104366e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0277317376812207 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0277317376812496 Order of pole (six term test) 1.0000000000004334 TOP MAIN SOLVE Loop x[1] -1.7649999999999157 y[1] (closed_form) 0.24300007897504325 y[1] (numeric) 0.24300007897501483 absolute error 2.842170943040401e-14 relative error 1.1696172919072588e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.028601735186013 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0286017351860983 Order of pole (six term test) 1.000000000001279 TOP MAIN SOLVE Loop x[1] -1.7659999999999156 y[1] (closed_form) 0.24279175556893207 y[1] (numeric) 0.24279175556890364 absolute error 2.842170943040401e-14 relative error 1.1706208624672461e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.029471852477807 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0294718524778186 Order of pole (six term test) 1.000000000000167 TOP MAIN SOLVE Loop x[1] -1.7669999999999155 y[1] (closed_form) 0.2425836713534816 y[1] (numeric) 0.24258367135345318 absolute error 2.842170943040401e-14 relative error 1.1716250014614223e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0303420894025965 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.030342089402723 Order of pole (six term test) 1.0000000000018936 TOP MAIN SOLVE Loop x[1] -1.7679999999999154 y[1] (closed_form) 0.2423758260168326 y[1] (numeric) 0.24237582601680416 absolute error 2.8449465006019636e-14 relative error 1.1737748550898747e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0312124458066174 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0312124458066774 Order of pole (six term test) 1.0000000000008953 TOP MAIN SOLVE Loop x[1] -1.7689999999999153 y[1] (closed_form) 0.24216821924749918 y[1] (numeric) 0.2421682192474707 absolute error 2.8477220581635265e-14 relative error 1.1759272405819346e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0320829215363485 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0320829215363854 Order of pole (six term test) 1.0000000000005507 TOP MAIN SOLVE Loop x[1] -1.7699999999999152 y[1] (closed_form) 0.2419608507343688 y[1] (numeric) 0.24196085073434023 absolute error 2.856048730848215e-14 relative error 1.180376379972173e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.032953516438509 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0329535164386305 Order of pole (six term test) 1.000000000001819 TOP MAIN SOLVE Loop x[1] -1.770999999999915 y[1] (closed_form) 0.24175372016670194 y[1] (numeric) 0.24175372016667337 absolute error 2.856048730848215e-14 relative error 1.1813877068277664e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.033824230360062 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.033824230360023 Order of pole (six term test) 0.9999999999994102 TOP MAIN SOLVE Loop x[1] -1.771999999999915 y[1] (closed_form) 0.24154682723413254 y[1] (numeric) 0.24154682723410392 absolute error 2.861599845971341e-14 relative error 1.1846977576722952e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.03469506314821 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0346950631480976 Order of pole (six term test) 0.9999999999983089 TOP MAIN SOLVE Loop x[1] -1.7729999999999149 y[1] (closed_form) 0.24134017162666724 y[1] (numeric) 0.24134017162663865 absolute error 2.858824288409778e-14 relative error 1.1845621344929416e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0355660146503967 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0355660146504344 Order of pole (six term test) 1.0000000000005578 TOP MAIN SOLVE Loop x[1] -1.7739999999999148 y[1] (closed_form) 0.24113375303468587 y[1] (numeric) 0.24113375303465726 absolute error 2.861599845971341e-14 relative error 1.1867272042830579e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.036437084714305 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0364370847143776 Order of pole (six term test) 1.0000000000010871 TOP MAIN SOLVE Loop x[1] -1.7749999999999146 y[1] (closed_form) 0.24092757114894095 y[1] (numeric) 0.2409275711489123 absolute error 2.864375403532904e-14 relative error 1.1888948159287892e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0373082731878593 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0373082731879215 Order of pole (six term test) 1.0000000000009308 TOP MAIN SOLVE Loop x[1] -1.7759999999999145 y[1] (closed_form) 0.24072162566055777 y[1] (numeric) 0.24072162566052907 absolute error 2.8699265186560297e-14 relative error 1.1922179865563557e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.038179579919222 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0381795799191558 Order of pole (six term test) 0.9999999999990052 TOP MAIN SOLVE Loop x[1] -1.7769999999999144 y[1] (closed_form) 0.2405159162610341 y[1] (numeric) 0.24051591626100544 absolute error 2.867150961094467e-14 relative error 1.1920836698319465e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.039051004756795 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0390510047568733 Order of pole (six term test) 1.0000000000011688 TOP MAIN SOLVE Loop x[1] -1.7779999999999143 y[1] (closed_form) 0.24031044264224055 y[1] (numeric) 0.24031044264221182 absolute error 2.8727020762175925e-14 relative error 1.1954129186530172e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0399225475492186 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.039922547549174 Order of pole (six term test) 0.9999999999993214 TOP MAIN SOLVE Loop x[1] -1.7789999999999142 y[1] (closed_form) 0.2401052044964197 y[1] (numeric) 0.24010520449639103 absolute error 2.867150961094467e-14 relative error 1.1941227875954767e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.040794208145372 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.040794208145498 Order of pole (six term test) 1.0000000000018936 TOP MAIN SOLVE Loop x[1] -1.779999999999914 y[1] (closed_form) 0.23990020151618685 y[1] (numeric) 0.23990020151615815 absolute error 2.8699265186560297e-14 relative error 1.1963001700364918e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.04166598639437 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0416659863944657 Order of pole (six term test) 1.0000000000014424 TOP MAIN SOLVE Loop x[1] -1.780999999999914 y[1] (closed_form) 0.23969543339452917 y[1] (numeric) 0.23969543339450045 absolute error 2.8727020762175925e-14 relative error 1.1984801026597945e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.042537882145566 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0425378821455573 Order of pole (six term test) 0.999999999999865 TOP MAIN SOLVE Loop x[1] -1.7819999999999139 y[1] (closed_form) 0.23949089982480606 y[1] (numeric) 0.23949089982477728 absolute error 2.8782531913407183e-14 relative error 1.2018215278518879e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.043409895248551 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.04340989524857 Order of pole (six term test) 1.0000000000002949 TOP MAIN SOLVE Loop x[1] -1.7829999999999138 y[1] (closed_form) 0.23928660050074876 y[1] (numeric) 0.23928660050071995 absolute error 2.881028748902281e-14 relative error 1.20400755532204e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0442820255531506 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0442820255533105 Order of pole (six term test) 1.0000000000024016 TOP MAIN SOLVE Loop x[1] -1.7839999999999137 y[1] (closed_form) 0.23908253511646035 y[1] (numeric) 0.23908253511643154 absolute error 2.881028748902281e-14 relative error 1.2050352182767734e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0451542729094285 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0451542729093637 Order of pole (six term test) 0.9999999999990301 TOP MAIN SOLVE Loop x[1] -1.7849999999999135 y[1] (closed_form) 0.23887870336641576 y[1] (numeric) 0.2388787033663869 absolute error 2.886579864025407e-14 relative error 1.2083872791278868e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0460266371676816 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0460266371676923 Order of pole (six term test) 1.0000000000001599 TOP MAIN SOLVE Loop x[1] -1.7859999999999134 y[1] (closed_form) 0.2386751049454613 y[1] (numeric) 0.2386751049454324 absolute error 2.88935542158697e-14 relative error 1.2105809787942505e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0468991181784437 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.046899118178451 Order of pole (six term test) 1.0000000000001066 TOP MAIN SOLVE Loop x[1] -1.7869999999999133 y[1] (closed_form) 0.23847173954881482 y[1] (numeric) 0.2384717395487859 absolute error 2.892130979148533e-14 relative error 1.2127772391900207e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.047771715792483 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0477717157924737 Order of pole (six term test) 0.9999999999998579 TOP MAIN SOLVE Loop x[1] -1.7879999999999132 y[1] (closed_form) 0.2382686068720655 y[1] (numeric) 0.23826860687203658 absolute error 2.892130979148533e-14 relative error 1.2138111760150661e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0486444298608015 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.048644429860824 Order of pole (six term test) 1.000000000000334 TOP MAIN SOLVE Loop x[1] -1.788999999999913 y[1] (closed_form) 0.2380657066111737 y[1] (numeric) 0.2380657066111448 absolute error 2.892130979148533e-14 relative error 1.2148456912663074e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0495172602346363 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.049517260234723 Order of pole (six term test) 1.0000000000013003 TOP MAIN SOLVE Loop x[1] -1.789999999999913 y[1] (closed_form) 0.23786303846247095 y[1] (numeric) 0.237863038462442 absolute error 2.8949065367100957e-14 relative error 1.2170476570982012e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.050390206765456 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.050390206765467 Order of pole (six term test) 1.0000000000001599 TOP MAIN SOLVE Loop x[1] -1.7909999999999129 y[1] (closed_form) 0.23766060212265952 y[1] (numeric) 0.23766060212263057 absolute error 2.8949065367100957e-14 relative error 1.2180843231289968e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0512632693049637 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.051263269305094 Order of pole (six term test) 1.0000000000019469 TOP MAIN SOLVE Loop x[1] -1.7919999999999128 y[1] (closed_form) 0.23745839728881263 y[1] (numeric) 0.23745839728878365 absolute error 2.8976820942716586e-14 relative error 1.2202904287049937e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.052136447705095 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0521364477052053 Order of pole (six term test) 1.0000000000016485 TOP MAIN SOLVE Loop x[1] -1.7929999999999127 y[1] (closed_form) 0.2372564236583741 y[1] (numeric) 0.23725642365834507 absolute error 2.9032332093947844e-14 relative error 1.2236689589383487e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0530097418180184 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0530097418179762 Order of pole (six term test) 0.9999999999993605 TOP MAIN SOLVE Loop x[1] -1.7939999999999126 y[1] (closed_form) 0.2370546809291582 y[1] (numeric) 0.23705468092912915 absolute error 2.906008766956347e-14 relative error 1.2258811998843353e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.053883151496133 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0538831514962146 Order of pole (six term test) 1.0000000000012257 TOP MAIN SOLVE Loop x[1] -1.7949999999999124 y[1] (closed_form) 0.2368531687993497 y[1] (numeric) 0.23685316879932064 absolute error 2.906008766956347e-14 relative error 1.226924166430796e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0547566765920693 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.054756676592177 Order of pole (six term test) 1.000000000001613 TOP MAIN SOLVE Loop x[1] -1.7959999999999123 y[1] (closed_form) 0.23665188696750356 y[1] (numeric) 0.23665188696747447 absolute error 2.90878432451791e-14 relative error 1.2291405582231158e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0556303169586903 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0556303169588395 Order of pole (six term test) 1.0000000000022489 TOP MAIN SOLVE Loop x[1] -1.7969999999999122 y[1] (closed_form) 0.23645083513254478 y[1] (numeric) 0.23645083513251566 absolute error 2.911559882079473e-14 relative error 1.2313595257328528e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0565040724490884 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0565040724491617 Order of pole (six term test) 1.0000000000010942 TOP MAIN SOLVE Loop x[1] -1.7979999999999121 y[1] (closed_form) 0.23625001299376838 y[1] (numeric) 0.2362500129937392 absolute error 2.917110997202599e-14 relative error 1.2347559097402226e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.057377942916586 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.057377942916545 Order of pole (six term test) 0.9999999999993818 TOP MAIN SOLVE Loop x[1] -1.798999999999912 y[1] (closed_form) 0.23604942025083908 y[1] (numeric) 0.23604942025080988 absolute error 2.919886554764162e-14 relative error 1.2369810320488523e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.058251928214737 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0582519282147542 Order of pole (six term test) 1.0000000000002593 TOP MAIN SOLVE Loop x[1] -1.799999999999912 y[1] (closed_form) 0.23584905660379127 y[1] (numeric) 0.23584905660376204 absolute error 2.9226621123257246e-14 relative error 1.2392087356260143e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0591260281973227 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.059126028197347 Order of pole (six term test) 1.0000000000003624 TOP MAIN SOLVE Loop x[1] -1.8009999999999118 y[1] (closed_form) 0.23564892175302884 y[1] (numeric) 0.23564892175299962 absolute error 2.9226621123257246e-14 relative error 1.2402611862526627e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0600002427183552 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0600002427184325 Order of pole (six term test) 1.0000000000011617 TOP MAIN SOLVE Loop x[1] -1.8019999999999117 y[1] (closed_form) 0.23544901539932503 y[1] (numeric) 0.23544901539929583 absolute error 2.919886554764162e-14 relative error 1.2401353854939638e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0608745716320733 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0608745716321697 Order of pole (six term test) 1.0000000000014495 TOP MAIN SOLVE Loop x[1] -1.8029999999999116 y[1] (closed_form) 0.23524933724382233 y[1] (numeric) 0.23524933724379304 absolute error 2.9282132274488504e-14 relative error 1.2447275141157685e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0617490147929454 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0617490147929773 Order of pole (six term test) 1.0000000000004832 TOP MAIN SOLVE Loop x[1] -1.8039999999999115 y[1] (closed_form) 0.23504988698803195 y[1] (numeric) 0.23504988698800272 absolute error 2.9226621123257246e-14 relative error 1.2434220453271428e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0626235720556676 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0626235720556947 Order of pole (six term test) 1.0000000000004121 TOP MAIN SOLVE Loop x[1] -1.8049999999999113 y[1] (closed_form) 0.23485066433383436 y[1] (numeric) 0.2348506643338051 absolute error 2.9254376698872875e-14 relative error 1.2456586734320882e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0634982432751623 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.063498243275157 Order of pole (six term test) 0.9999999999999183 TOP MAIN SOLVE Loop x[1] -1.8059999999999112 y[1] (closed_form) 0.23465166898347845 y[1] (numeric) 0.23465166898344916 absolute error 2.9282132274488504e-14 relative error 1.2478978905771272e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.06437302830658 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0643730283067026 Order of pole (six term test) 1.000000000001851 TOP MAIN SOLVE Loop x[1] -1.8069999999999111 y[1] (closed_form) 0.2344529006395817 y[1] (numeric) 0.2344529006395524 absolute error 2.930988785010413e-14 relative error 1.2501396984275939e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0652479270052977 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0652479270053457 Order of pole (six term test) 1.0000000000007248 TOP MAIN SOLVE Loop x[1] -1.807999999999911 y[1] (closed_form) 0.23425435900513003 y[1] (numeric) 0.2342543590051007 absolute error 2.933764342571976e-14 relative error 1.2523840986488232e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.066122939226918 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.066122939226875 Order of pole (six term test) 0.999999999999357 TOP MAIN SOLVE Loop x[1] -1.808999999999911 y[1] (closed_form) 0.23405604378347744 y[1] (numeric) 0.23405604378344808 absolute error 2.936539900133539e-14 relative error 1.2546310929061496e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0669980648272697 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0669980648273447 Order of pole (six term test) 1.0000000000011298 TOP MAIN SOLVE Loop x[1] -1.8099999999999108 y[1] (closed_form) 0.23385795467834605 y[1] (numeric) 0.23385795467831666 absolute error 2.939315457695102e-14 relative error 1.2568806828649075e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.067873303662407 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0678733036625485 Order of pole (six term test) 1.0000000000021352 TOP MAIN SOLVE Loop x[1] -1.8109999999999107 y[1] (closed_form) 0.2336600913938258 y[1] (numeric) 0.2336600913937964 absolute error 2.939315457695102e-14 relative error 1.257945008992139e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.068748655588609 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.068748655588656 Order of pole (six term test) 1.0000000000007212 TOP MAIN SOLVE Loop x[1] -1.8119999999999106 y[1] (closed_form) 0.23346245363437435 y[1] (numeric) 0.23346245363434495 absolute error 2.939315457695102e-14 relative error 1.2590099229824618e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0696241204623793 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.069624120462511 Order of pole (six term test) 1.000000000001993 TOP MAIN SOLVE Loop x[1] -1.8129999999999105 y[1] (closed_form) 0.23326504110481686 y[1] (numeric) 0.23326504110478744 absolute error 2.942091015256665e-14 relative error 1.2612652977582895e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0704996981404453 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.070499698140491 Order of pole (six term test) 1.0000000000006857 TOP MAIN SOLVE Loop x[1] -1.8139999999999104 y[1] (closed_form) 0.23306785351034584 y[1] (numeric) 0.23306785351031636 absolute error 2.9476421303797906e-14 relative error 1.264714153403805e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0713753884797597 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.071375388479834 Order of pole (six term test) 1.0000000000011262 TOP MAIN SOLVE Loop x[1] -1.8149999999999102 y[1] (closed_form) 0.23287089055652088 y[1] (numeric) 0.23287089055649138 absolute error 2.9504176879413535e-14 relative error 1.2669757395998997e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0722511913374966 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0722511913374393 Order of pole (six term test) 0.9999999999991296 TOP MAIN SOLVE Loop x[1] -1.8159999999999101 y[1] (closed_form) 0.23267415194926866 y[1] (numeric) 0.23267415194923913 absolute error 2.9531932455029164e-14 relative error 1.2692399309343217e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0731271065710546 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0731271065711616 Order of pole (six term test) 1.00000000000162 TOP MAIN SOLVE Loop x[1] -1.81699999999991 y[1] (closed_form) 0.23247763739488256 y[1] (numeric) 0.23247763739485303 absolute error 2.9531932455029164e-14 relative error 1.2703128260404129e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0740031340380547 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0740031340379206 Order of pole (six term test) 0.9999999999979643 TOP MAIN SOLVE Loop x[1] -1.81799999999991 y[1] (closed_form) 0.2322813466000227 y[1] (numeric) 0.23228134659999314 absolute error 2.955968803064479e-14 relative error 1.2725812237323194e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.074879273596339 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.074879273596416 Order of pole (six term test) 1.0000000000011546 TOP MAIN SOLVE Loop x[1] -1.8189999999999098 y[1] (closed_form) 0.2320852792717155 y[1] (numeric) 0.23208527927168593 absolute error 2.955968803064479e-14 relative error 1.273656309585994e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.075755525103973 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0757555251040563 Order of pole (six term test) 1.0000000000012612 TOP MAIN SOLVE Loop x[1] -1.8199999999999097 y[1] (closed_form) 0.23188943511735371 y[1] (numeric) 0.23188943511732413 absolute error 2.958744360626042e-14 relative error 1.2759289180762772e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.076631888419243 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0766318884193895 Order of pole (six term test) 1.0000000000022204 TOP MAIN SOLVE Loop x[1] -1.8209999999999096 y[1] (closed_form) 0.23169381384469617 y[1] (numeric) 0.23169381384466656 absolute error 2.961519918187605e-14 relative error 1.2782041389213373e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0775083634006557 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0775083634007965 Order of pole (six term test) 1.0000000000021352 TOP MAIN SOLVE Loop x[1] -1.8219999999999095 y[1] (closed_form) 0.23149841516186748 y[1] (numeric) 0.23149841516183786 absolute error 2.961519918187605e-14 relative error 1.279283020627533e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.078384949906939 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0783849499069835 Order of pole (six term test) 1.0000000000006644 TOP MAIN SOLVE Loop x[1] -1.8229999999999094 y[1] (closed_form) 0.23130323877735803 y[1] (numeric) 0.23130323877732836 absolute error 2.967071033310731e-14 relative error 1.2827624243371266e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0792616477970416 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0792616477970483 Order of pole (six term test) 1.0000000000001066 TOP MAIN SOLVE Loop x[1] -1.8239999999999092 y[1] (closed_form) 0.2311082844000236 y[1] (numeric) 0.23110828439999392 absolute error 2.967071033310731e-14 relative error 1.2838445151429751e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0801384569301318 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0801384569302637 Order of pole (six term test) 1.0000000000020037 TOP MAIN SOLVE Loop x[1] -1.8249999999999091 y[1] (closed_form) 0.23091355173908537 y[1] (numeric) 0.23091355173905567 absolute error 2.969846590872294e-14 relative error 1.2861291892595342e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.081015377165596 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.08101537716565 Order of pole (six term test) 1.0000000000008207 TOP MAIN SOLVE Loop x[1] -1.825999999999909 y[1] (closed_form) 0.23071904050412956 y[1] (numeric) 0.23071904050409983 absolute error 2.9726221484338566e-14 relative error 1.2884164835024315e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0818924083630423 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0818924083631933 Order of pole (six term test) 1.0000000000022915 TOP MAIN SOLVE Loop x[1] -1.826999999999909 y[1] (closed_form) 0.2305247504051073 y[1] (numeric) 0.23052475040507756 absolute error 2.9753977059954195e-14 relative error 1.2907063995370014e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0827695503822947 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0827695503821837 Order of pole (six term test) 0.9999999999983054 TOP MAIN SOLVE Loop x[1] -1.8279999999999088 y[1] (closed_form) 0.23033068115233443 y[1] (numeric) 0.23033068115230468 absolute error 2.9753977059954195e-14 relative error 1.2917939073985427e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0836468030833983 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.083646803083383 Order of pole (six term test) 0.999999999999762 TOP MAIN SOLVE Loop x[1] -1.8289999999999087 y[1] (closed_form) 0.23013683245649136 y[1] (numeric) 0.23013683245646155 absolute error 2.980948821118545e-14 relative error 1.2952941036424972e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0845241663266143 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0845241663266627 Order of pole (six term test) 1.0000000000007354 TOP MAIN SOLVE Loop x[1] -1.8299999999999086 y[1] (closed_form) 0.22994320402862262 y[1] (numeric) 0.2299432040285928 absolute error 2.980948821118545e-14 relative error 1.2963848328161444e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.085401639972422 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.085401639972476 Order of pole (six term test) 1.0000000000008171 TOP MAIN SOLVE Loop x[1] -1.8309999999999085 y[1] (closed_form) 0.22974979558013708 y[1] (numeric) 0.22974979558010725 absolute error 2.983724378680108e-14 relative error 1.298684236539127e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.086279223881517 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.086279223881533 Order of pole (six term test) 1.0000000000002451 TOP MAIN SOLVE Loop x[1] -1.8319999999999084 y[1] (closed_form) 0.22955660682280732 y[1] (numeric) 0.22955660682277748 absolute error 2.983724378680108e-14 relative error 1.2997771747790374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0871569179148137 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.087156917914934 Order of pole (six term test) 1.0000000000018403 TOP MAIN SOLVE Loop x[1] -1.8329999999999083 y[1] (closed_form) 0.22936363746876978 y[1] (numeric) 0.2293636374687399 absolute error 2.989275493803234e-14 relative error 1.3032909343401281e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0880347219334414 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0880347219333952 Order of pole (six term test) 0.9999999999993001 TOP MAIN SOLVE Loop x[1] -1.8339999999999081 y[1] (closed_form) 0.22917088723052417 y[1] (numeric) 0.22917088723049428 absolute error 2.989275493803234e-14 relative error 1.3043871016637059e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0889126357987458 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.088912635798794 Order of pole (six term test) 1.000000000000746 TOP MAIN SOLVE Loop x[1] -1.834999999999908 y[1] (closed_form) 0.22897835582093376 y[1] (numeric) 0.22897835582090378 absolute error 2.9976021664879227e-14 relative error 1.3091203121539205e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.089790659372288 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.089790659372188 Order of pole (six term test) 0.9999999999984723 TOP MAIN SOLVE Loop x[1] -1.835999999999908 y[1] (closed_form) 0.22878604295322455 y[1] (numeric) 0.22878604295319457 absolute error 2.9976021664879227e-14 relative error 1.3102207319092382e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.090668792515845 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.090668792515858 Order of pole (six term test) 1.0000000000001812 TOP MAIN SOLVE Loop x[1] -1.8369999999999078 y[1] (closed_form) 0.22859394834098568 y[1] (numeric) 0.2285939483409557 absolute error 2.9976021664879227e-14 relative error 1.311321751184989e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0915470350914087 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.091547035091423 Order of pole (six term test) 1.0000000000002132 TOP MAIN SOLVE Loop x[1] -1.8379999999999077 y[1] (closed_form) 0.2284020716981688 y[1] (numeric) 0.2284020716981388 absolute error 3.0003777240494856e-14 relative error 1.31363857680523e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.092425386961184 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.092425386961344 Order of pole (six term test) 1.0000000000024514 TOP MAIN SOLVE Loop x[1] -1.8389999999999076 y[1] (closed_form) 0.22821041273908807 y[1] (numeric) 0.22821041273905804 absolute error 3.0031532816110484e-14 relative error 1.3159580430909347e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0933038479875923 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0933038479877295 Order of pole (six term test) 1.0000000000021139 TOP MAIN SOLVE Loop x[1] -1.8399999999999075 y[1] (closed_form) 0.22801897117841977 y[1] (numeric) 0.22801897117838968 absolute error 3.008704396734174e-14 relative error 1.319497400231637e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0941824180332667 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0941824180333173 Order of pole (six term test) 1.0000000000007851 TOP MAIN SOLVE Loop x[1] -1.8409999999999074 y[1] (closed_form) 0.22782774673120212 y[1] (numeric) 0.22782774673117206 absolute error 3.0059288391726113e-14 relative error 1.3193866341131374e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.095061096961055 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.09506109696104 Order of pole (six term test) 0.9999999999997655 TOP MAIN SOLVE Loop x[1] -1.8419999999999073 y[1] (closed_form) 0.22763673911283538 y[1] (numeric) 0.22763673911280527 absolute error 3.011479954295737e-14 relative error 1.3229323025941789e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0959398846340176 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.095939884634093 Order of pole (six term test) 1.0000000000011617 TOP MAIN SOLVE Loop x[1] -1.8429999999999072 y[1] (closed_form) 0.2274459480390811 y[1] (numeric) 0.22744594803905097 absolute error 3.0142555118573e-14 relative error 1.3252623481950853e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.096818780915427 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0968187809154877 Order of pole (six term test) 1.0000000000009237 TOP MAIN SOLVE Loop x[1] -1.843999999999907 y[1] (closed_form) 0.22725537322606226 y[1] (numeric) 0.22725537322603212 absolute error 3.0142555118573e-14 relative error 1.3263737042023071e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0976977856687693 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.097697785668842 Order of pole (six term test) 1.0000000000011298 TOP MAIN SOLVE Loop x[1] -1.844999999999907 y[1] (closed_form) 0.22706501439026303 y[1] (numeric) 0.22706501439023283 absolute error 3.019806626980426e-14 relative error 1.329930388038643e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0985768987577407 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.098576898757769 Order of pole (six term test) 1.0000000000004547 TOP MAIN SOLVE Loop x[1] -1.8459999999999068 y[1] (closed_form) 0.22687487124852826 y[1] (numeric) 0.2268748712484981 absolute error 3.017031069418863e-14 relative error 1.3298216117173596e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.0994561200462503 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0994561200463373 Order of pole (six term test) 1.0000000000013465 TOP MAIN SOLVE Loop x[1] -1.8469999999999067 y[1] (closed_form) 0.22668494351806376 y[1] (numeric) 0.22668494351803356 absolute error 3.019806626980426e-14 relative error 1.3321602132520053e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1003354493984183 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.100335449398414 Order of pole (six term test) 0.9999999999999396 TOP MAIN SOLVE Loop x[1] -1.8479999999999066 y[1] (closed_form) 0.22649523091643553 y[1] (numeric) 0.2264952309164053 absolute error 3.0225821845419887e-14 relative error 1.334501469329903e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1012148866785747 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1012148866786733 Order of pole (six term test) 1.0000000000015135 TOP MAIN SOLVE Loop x[1] -1.8489999999999065 y[1] (closed_form) 0.22630573316156993 y[1] (numeric) 0.22630573316153965 absolute error 3.0281332996651145e-14 relative error 1.338071845269246e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.10209443175126 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1020944317512025 Order of pole (six term test) 0.9999999999991225 TOP MAIN SOLVE Loop x[1] -1.8499999999999064 y[1] (closed_form) 0.22611644997175318 y[1] (numeric) 0.2261164499717229 absolute error 3.0281332996651145e-14 relative error 1.3391919517767919e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1029740844812266 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1029740844813936 Order of pole (six term test) 1.0000000000026041 TOP MAIN SOLVE Loop x[1] -1.8509999999999063 y[1] (closed_form) 0.22592738106563134 y[1] (numeric) 0.22592738106560104 absolute error 3.0309088572266774e-14 relative error 1.3415411814764523e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1038538447334343 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.103853844733506 Order of pole (six term test) 1.0000000000010942 TOP MAIN SOLVE Loop x[1] -1.8519999999999062 y[1] (closed_form) 0.22573852616220993 y[1] (numeric) 0.22573852616217963 absolute error 3.0309088572266774e-14 relative error 1.3426635270262833e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.104733712373053 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1047337123730783 Order of pole (six term test) 1.0000000000003837 TOP MAIN SOLVE Loop x[1] -1.852999999999906 y[1] (closed_form) 0.22554988498085385 y[1] (numeric) 0.22554988498082354 absolute error 3.0309088572266774e-14 relative error 1.3437864787578858e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1056136872654614 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1056136872654707 Order of pole (six term test) 1.0000000000001599 TOP MAIN SOLVE Loop x[1] -1.853999999999906 y[1] (closed_form) 0.225361457241287 y[1] (numeric) 0.22536145724125664 absolute error 3.036459972349803e-14 relative error 1.3473732418666278e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.106493769276247 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1064937692763506 Order of pole (six term test) 1.0000000000016023 TOP MAIN SOLVE Loop x[1] -1.8549999999999058 y[1] (closed_form) 0.225173242663592 y[1] (numeric) 0.22517324266356165 absolute error 3.036459972349803e-14 relative error 1.3484994648703723e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.107373958271206 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.107373958271335 Order of pole (six term test) 1.0000000000020357 TOP MAIN SOLVE Loop x[1] -1.8559999999999057 y[1] (closed_form) 0.2249852409682102 y[1] (numeric) 0.22498524096817982 absolute error 3.039235529911366e-14 relative error 1.3508599572275061e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.108254254116341 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.108254254116328 Order of pole (six term test) 0.9999999999998153 TOP MAIN SOLVE Loop x[1] -1.8569999999999056 y[1] (closed_form) 0.22479745187594122 y[1] (numeric) 0.2247974518759108 absolute error 3.042011087472929e-14 relative error 1.3532231180056796e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1091346566778637 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1091346566778446 Order of pole (six term test) 0.9999999999997051 TOP MAIN SOLVE Loop x[1] -1.8579999999999055 y[1] (closed_form) 0.22460987510794275 y[1] (numeric) 0.22460987510791233 absolute error 3.042011087472929e-14 relative error 1.3543532251246758e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1100151658221913 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.11001516582218 Order of pole (six term test) 0.9999999999998259 TOP MAIN SOLVE Loop x[1] -1.8589999999999054 y[1] (closed_form) 0.22442251038573044 y[1] (numeric) 0.2244225103857 absolute error 3.044786645034492e-14 relative error 1.3567206960661865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1108957814159486 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.110895781415937 Order of pole (six term test) 0.9999999999998188 TOP MAIN SOLVE Loop x[1] -1.8599999999999053 y[1] (closed_form) 0.22423535743117742 y[1] (numeric) 0.224235357431147 absolute error 3.042011087472929e-14 relative error 1.3566152645693204e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.111776503325967 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1117765033260825 Order of pole (six term test) 1.0000000000018154 TOP MAIN SOLVE Loop x[1] -1.8609999999999052 y[1] (closed_form) 0.22404841596651442 y[1] (numeric) 0.22404841596648392 absolute error 3.0503377601576176e-14 relative error 1.361463658200338e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.112657331419283 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1126573314192796 Order of pole (six term test) 0.9999999999999396 TOP MAIN SOLVE Loop x[1] -1.861999999999905 y[1] (closed_form) 0.22386168571432905 y[1] (numeric) 0.22386168571429851 absolute error 3.0531133177191805e-14 relative error 1.3638391527236477e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.11353826556314 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.113538265563154 Order of pole (six term test) 1.0000000000002132 TOP MAIN SOLVE Loop x[1] -1.862999999999905 y[1] (closed_form) 0.2236751663975659 y[1] (numeric) 0.22367516639753535 absolute error 3.0558888752807434e-14 relative error 1.366217325104893e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1144193056249856 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1144193056250744 Order of pole (six term test) 1.0000000000014246 TOP MAIN SOLVE Loop x[1] -1.8639999999999048 y[1] (closed_form) 0.22348885773952626 y[1] (numeric) 0.2234888577394957 absolute error 3.0558888752807434e-14 relative error 1.36735625488871e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1153004514724723 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.115300451472427 Order of pole (six term test) 0.9999999999992859 TOP MAIN SOLVE Loop x[1] -1.8649999999999047 y[1] (closed_form) 0.2233027594638678 y[1] (numeric) 0.2233027594638372 absolute error 3.058664432842306e-14 relative error 1.369738752976415e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.116181702973458 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1161817029735683 Order of pole (six term test) 1.0000000000017657 TOP MAIN SOLVE Loop x[1] -1.8659999999999046 y[1] (closed_form) 0.22311687129460428 y[1] (numeric) 0.22311687129457367 absolute error 3.061439990403869e-14 relative error 1.3721239333629474e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.117063059996004 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.117063059995924 Order of pole (six term test) 0.9999999999987246 TOP MAIN SOLVE Loop x[1] -1.8669999999999045 y[1] (closed_form) 0.2229311929561054 y[1] (numeric) 0.22293119295607478 absolute error 3.061439990403869e-14 relative error 1.3732667689113651e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.117944522408376 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1179445224083775 Order of pole (six term test) 1.0000000000000568 TOP MAIN SOLVE Loop x[1] -1.8679999999999044 y[1] (closed_form) 0.22274572417309652 y[1] (numeric) 0.22274572417306585 absolute error 3.066991105526995e-14 relative error 1.3769023476938327e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1188260900790423 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1188260900790317 Order of pole (six term test) 0.999999999999801 TOP MAIN SOLVE Loop x[1] -1.8689999999999043 y[1] (closed_form) 0.2225604646706583 y[1] (numeric) 0.22256046467062762 absolute error 3.066991105526995e-14 relative error 1.378048482269968e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1197077628766756 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.119707762876656 Order of pole (six term test) 0.99999999999973 TOP MAIN SOLVE Loop x[1] -1.8699999999999042 y[1] (closed_form) 0.22237541417422663 y[1] (numeric) 0.22237541417419596 absolute error 3.066991105526995e-14 relative error 1.3791952302443244e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1205895406701507 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.120589540670258 Order of pole (six term test) 1.0000000000017728 TOP MAIN SOLVE Loop x[1] -1.870999999999904 y[1] (closed_form) 0.22219057240959228 y[1] (numeric) 0.22219057240956158 absolute error 3.069766663088558e-14 relative error 1.3815917704328448e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1214714233285448 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.12147142332854 Order of pole (six term test) 0.9999999999998863 TOP MAIN SOLVE Loop x[1] -1.871999999999904 y[1] (closed_form) 0.22200593910290062 y[1] (numeric) 0.2220059391028699 absolute error 3.072542220650121e-14 relative error 1.3839910018019768e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.122353410721136 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1223534107211113 Order of pole (six term test) 0.9999999999996341 TOP MAIN SOLVE Loop x[1] -1.8729999999999039 y[1] (closed_form) 0.2218215139806514 y[1] (numeric) 0.22182151398062064 absolute error 3.0753177782116836e-14 relative error 1.386392926017055e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.123235502717407 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.123235502717423 Order of pole (six term test) 1.0000000000002807 TOP MAIN SOLVE Loop x[1] -1.8739999999999037 y[1] (closed_form) 0.22163729676969843 y[1] (numeric) 0.2216372967696677 absolute error 3.072542220650121e-14 relative error 1.3862929504336876e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.124117699187039 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1241176991869875 Order of pole (six term test) 0.9999999999992006 TOP MAIN SOLVE Loop x[1] -1.8749999999999036 y[1] (closed_form) 0.22145328719724955 y[1] (numeric) 0.2214532871972188 absolute error 3.0753177782116836e-14 relative error 1.3886981842236022e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1249999999999147 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.124999999999962 Order of pole (six term test) 1.000000000000739 TOP MAIN SOLVE Loop x[1] -1.8759999999999035 y[1] (closed_form) 0.22126948499086602 y[1] (numeric) 0.22126948499083524 absolute error 3.0780933357732465e-14 relative error 1.3911061147452438e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1258824050261196 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.12588240502611 Order of pole (six term test) 0.9999999999998685 TOP MAIN SOLVE Loop x[1] -1.8769999999999034 y[1] (closed_form) 0.22108588987846248 y[1] (numeric) 0.2210858898784317 absolute error 3.0780933357732465e-14 relative error 1.3922613231741594e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1267649141359364 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1267649141359977 Order of pole (six term test) 1.0000000000010019 TOP MAIN SOLVE Loop x[1] -1.8779999999999033 y[1] (closed_form) 0.2209025015883067 y[1] (numeric) 0.2209025015882759 absolute error 3.0808688933348094e-14 relative error 1.3946736099333936e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.12764752719985 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.127647527199886 Order of pole (six term test) 1.000000000000636 TOP MAIN SOLVE Loop x[1] -1.8789999999999032 y[1] (closed_form) 0.22071931984901924 y[1] (numeric) 0.2207193198489884 absolute error 3.083644450896372e-14 relative error 1.3970885978652467e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1285302440885436 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.128530244088582 Order of pole (six term test) 1.0000000000006644 TOP MAIN SOLVE Loop x[1] -1.879999999999903 y[1] (closed_form) 0.22053634438957312 y[1] (numeric) 0.22053634438954228 absolute error 3.083644450896372e-14 relative error 1.3982477398143387e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.129413064672901 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1294130646729585 Order of pole (six term test) 1.0000000000009344 TOP MAIN SOLVE Loop x[1] -1.880999999999903 y[1] (closed_form) 0.2203535749392938 y[1] (numeric) 0.22035357493926291 absolute error 3.089195566019498e-14 relative error 1.4019266839081483e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1302959888240025 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1302959888240083 Order of pole (six term test) 1.0000000000001066 TOP MAIN SOLVE Loop x[1] -1.8819999999999029 y[1] (closed_form) 0.22017101122785862 y[1] (numeric) 0.22017101122782773 absolute error 3.089195566019498e-14 relative error 1.4030891481996412e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1311790164131295 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.131179016413166 Order of pole (six term test) 1.000000000000611 TOP MAIN SOLVE Loop x[1] -1.8829999999999028 y[1] (closed_form) 0.21998865298529677 y[1] (numeric) 0.21998865298526585 absolute error 3.091971123581061e-14 relative error 1.4055139124778935e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.13206214731176 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1320621473117294 Order of pole (six term test) 0.9999999999995168 TOP MAIN SOLVE Loop x[1] -1.8839999999999026 y[1] (closed_form) 0.2198064999419888 y[1] (numeric) 0.2198064999419579 absolute error 3.091971123581061e-14 relative error 1.4066786580001465e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1329453813915706 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1329453813915835 Order of pole (six term test) 1.000000000000167 TOP MAIN SOLVE Loop x[1] -1.8849999999999025 y[1] (closed_form) 0.21962455182866664 y[1] (numeric) 0.21962455182863572 absolute error 3.091971123581061e-14 relative error 1.4078440219166241e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.133828718524435 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1338287185245517 Order of pole (six term test) 1.000000000002018 TOP MAIN SOLVE Loop x[1] -1.8859999999999024 y[1] (closed_form) 0.21944280837641303 y[1] (numeric) 0.2194428083763821 absolute error 3.091971123581061e-14 relative error 1.4090100042273263e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.134712158582424 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1347121585824382 Order of pole (six term test) 1.0000000000002238 TOP MAIN SOLVE Loop x[1] -1.8869999999999023 y[1] (closed_form) 0.21926126931666148 y[1] (numeric) 0.2192612693166305 absolute error 3.097522238704187e-14 relative error 1.4127083403091512e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.135595701437805 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.135595701437831 Order of pole (six term test) 1.0000000000004299 TOP MAIN SOLVE Loop x[1] -1.8879999999999022 y[1] (closed_form) 0.2190799343811958 y[1] (numeric) 0.2190799343811648 absolute error 3.1002977962657496e-14 relative error 1.4151445704156904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1364793469630428 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.136479346963057 Order of pole (six term test) 1.00000000000027 TOP MAIN SOLVE Loop x[1] -1.888999999999902 y[1] (closed_form) 0.21889880330214997 y[1] (numeric) 0.21889880330211894 absolute error 3.1030733538273125e-14 relative error 1.4175835166828593e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1373630950307976 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.137363095030862 Order of pole (six term test) 1.000000000001041 TOP MAIN SOLVE Loop x[1] -1.889999999999902 y[1] (closed_form) 0.21871787581200783 y[1] (numeric) 0.2187178758119768 absolute error 3.1030733538273125e-14 relative error 1.4187561681032706e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.138246945513925 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1382469455139863 Order of pole (six term test) 1.000000000001016 TOP MAIN SOLVE Loop x[1] -1.8909999999999019 y[1] (closed_form) 0.21853715164360282 y[1] (numeric) 0.2185371516435718 absolute error 3.1030733538273125e-14 relative error 1.4199294401383527e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1391308982854764 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.139130898285481 Order of pole (six term test) 1.0000000000001208 TOP MAIN SOLVE Loop x[1] -1.8919999999999018 y[1] (closed_form) 0.21835663053011775 y[1] (numeric) 0.21835663053008667 absolute error 3.108624468950438e-14 relative error 1.4236455569970284e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1400149532186985 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1400149532187043 Order of pole (six term test) 1.0000000000001386 TOP MAIN SOLVE Loop x[1] -1.8929999999999017 y[1] (closed_form) 0.21817631220508427 y[1] (numeric) 0.21817631220505315 absolute error 3.111400026512001e-14 relative error 1.4260943340115246e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1408991101870325 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1408991101871018 Order of pole (six term test) 1.000000000001254 TOP MAIN SOLVE Loop x[1] -1.8939999999999015 y[1] (closed_form) 0.2179961964023829 y[1] (numeric) 0.21799619640235177 absolute error 3.114175584073564e-14 relative error 1.4285458349582117e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.141783369064114 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.141783369064192 Order of pole (six term test) 1.0000000000013962 TOP MAIN SOLVE Loop x[1] -1.8949999999999014 y[1] (closed_form) 0.21781628285624266 y[1] (numeric) 0.2178162828562115 absolute error 3.116951141635127e-14 relative error 1.4310000615024244e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.142667729723773 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1426677297237373 Order of pole (six term test) 0.9999999999994351 TOP MAIN SOLVE Loop x[1] -1.8959999999999013 y[1] (closed_form) 0.21763657130124067 y[1] (numeric) 0.2176365713012095 absolute error 3.116951141635127e-14 relative error 1.4321816976802181e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.143552192040032 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.143552192040025 Order of pole (six term test) 0.9999999999999396 TOP MAIN SOLVE Loop x[1] -1.8969999999999012 y[1] (closed_form) 0.21745706147230207 y[1] (numeric) 0.21745706147227087 absolute error 3.11972669919669e-14 relative error 1.434640327646502e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1444367558871082 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1444367558870785 Order of pole (six term test) 0.999999999999492 TOP MAIN SOLVE Loop x[1] -1.897999999999901 y[1] (closed_form) 0.21727775310469952 y[1] (numeric) 0.21727775310466832 absolute error 3.11972669919669e-14 relative error 1.4358242639288473e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.145321421139412 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1453214211394687 Order of pole (six term test) 1.0000000000010303 TOP MAIN SOLVE Loop x[1] -1.898999999999901 y[1] (closed_form) 0.21709864593405317 y[1] (numeric) 0.21709864593402192 absolute error 3.1252778143198157e-14 relative error 1.4395657793596573e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1462061876715444 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1462061876715297 Order of pole (six term test) 0.9999999999998437 TOP MAIN SOLVE Loop x[1] -1.8999999999999009 y[1] (closed_form) 0.2169197396963301 y[1] (numeric) 0.21691973969629882 absolute error 3.1280533718813786e-14 relative error 1.4420326044371976e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.147091055358301 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1470910553582803 Order of pole (six term test) 0.999999999999666 TOP MAIN SOLVE Loop x[1] -1.9009999999999008 y[1] (closed_form) 0.21674103412784423 y[1] (numeric) 0.21674103412781293 absolute error 3.1308289294429414e-14 relative error 1.444502164549159e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.147976024074669 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1479760240746923 Order of pole (six term test) 1.000000000000469 TOP MAIN SOLVE Loop x[1] -1.9019999999999007 y[1] (closed_form) 0.216562528965256 y[1] (numeric) 0.21656252896522465 absolute error 3.1336044870045043e-14 relative error 1.4469744613608762e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.148861093695826 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.148861093695837 Order of pole (six term test) 1.000000000000206 TOP MAIN SOLVE Loop x[1] -1.9029999999999005 y[1] (closed_form) 0.216384223945572 y[1] (numeric) 0.21638422394554066 absolute error 3.1336044870045043e-14 relative error 1.4481667978681812e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1497462640971428 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.149746264097186 Order of pole (six term test) 1.0000000000007851 TOP MAIN SOLVE Loop x[1] -1.9039999999999004 y[1] (closed_form) 0.21620611880614485 y[1] (numeric) 0.21620611880611348 absolute error 3.136380044566067e-14 relative error 1.4506435164206496e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.150631535154179 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.150631535154185 Order of pole (six term test) 1.0000000000000426 TOP MAIN SOLVE Loop x[1] -1.9049999999999003 y[1] (closed_form) 0.2160282132846727 y[1] (numeric) 0.21602821328464133 absolute error 3.136380044566067e-14 relative error 1.4518381635796249e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.151516906742687 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1515169067427435 Order of pole (six term test) 1.0000000000011795 TOP MAIN SOLVE Loop x[1] -1.9059999999999002 y[1] (closed_form) 0.21585050711919918 y[1] (numeric) 0.21585050711916776 absolute error 3.141931159689193e-14 relative error 1.4556051786128645e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1524023787386084 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1524023787386364 Order of pole (six term test) 1.0000000000005507 TOP MAIN SOLVE Loop x[1] -1.9069999999999 y[1] (closed_form) 0.2156730000481128 y[1] (numeric) 0.21567300004808138 absolute error 3.141931159689193e-14 relative error 1.4568031969640542e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1532879510180747 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1532879510181235 Order of pole (six term test) 1.0000000000008846 TOP MAIN SOLVE Loop x[1] -1.9079999999999 y[1] (closed_form) 0.21549569181014708 y[1] (numeric) 0.2154956918101156 absolute error 3.147482274812319e-14 relative error 1.460577818690347e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1541736234574076 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.154173623457445 Order of pole (six term test) 1.000000000000849 TOP MAIN SOLVE Loop x[1] -1.9089999999998999 y[1] (closed_form) 0.2153185821443798 y[1] (numeric) 0.21531858214434832 absolute error 3.147482274812319e-14 relative error 1.4617792126746428e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1550593959331183 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.155059395933118 Order of pole (six term test) 1.000000000000064 TOP MAIN SOLVE Loop x[1] -1.9099999999998998 y[1] (closed_form) 0.21514167079023305 y[1] (numeric) 0.21514167079020158 absolute error 3.147482274812319e-14 relative error 1.4629812361553935e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1559452683219065 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1559452683219056 Order of pole (six term test) 0.9999999999999041 TOP MAIN SOLVE Loop x[1] -1.9109999999998997 y[1] (closed_form) 0.21496495748747294 y[1] (numeric) 0.21496495748744138 absolute error 3.1558089474970075e-14 relative error 1.4680573914848015e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.15683124050066 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.156831240500654 Order of pole (six term test) 1.0000000000000568 TOP MAIN SOLVE Loop x[1] -1.9119999999998996 y[1] (closed_form) 0.21478844197620886 y[1] (numeric) 0.2147884419761773 absolute error 3.1558089474970075e-14 relative error 1.4692638572454295e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1577173123464566 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.157717312346465 Order of pole (six term test) 1.0000000000001812 TOP MAIN SOLVE Loop x[1] -1.9129999999998994 y[1] (closed_form) 0.2146121239968938 y[1] (numeric) 0.21461212399686225 absolute error 3.1558089474970075e-14 relative error 1.470470954167847e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1586034837365604 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.158603483736604 Order of pole (six term test) 1.0000000000009024 TOP MAIN SOLVE Loop x[1] -1.9139999999998993 y[1] (closed_form) 0.21443600329032372 y[1] (numeric) 0.21443600329029217 absolute error 3.1558089474970075e-14 relative error 1.471678682252054e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1594897545484244 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.159489754548408 Order of pole (six term test) 0.9999999999996376 TOP MAIN SOLVE Loop x[1] -1.9149999999998992 y[1] (closed_form) 0.2142600795976373 y[1] (numeric) 0.21426007959760568 absolute error 3.161360062620133e-14 relative error 1.475477871826103e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1603761246596886 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1603761246596753 Order of pole (six term test) 0.9999999999998508 TOP MAIN SOLVE Loop x[1] -1.9159999999998991 y[1] (closed_form) 0.21408435266031553 y[1] (numeric) 0.2140843526602839 absolute error 3.164135620181696e-14 relative error 1.477985467346221e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1612625939481793 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1612625939481633 Order of pole (six term test) 0.9999999999997904 TOP MAIN SOLVE Loop x[1] -1.916999999999899 y[1] (closed_form) 0.21390882222018165 y[1] (numeric) 0.21390882222015 absolute error 3.164135620181696e-14 relative error 1.4791982805294365e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1621491622919113 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.162149162291931 Order of pole (six term test) 1.0000000000002771 TOP MAIN SOLVE Loop x[1] -1.917999999999899 y[1] (closed_form) 0.21373348801940079 y[1] (numeric) 0.21373348801936912 absolute error 3.166911177743259e-14 relative error 1.4817103333174423e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.163035829569083 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.16303582956907 Order of pole (six term test) 0.9999999999998863 TOP MAIN SOLVE Loop x[1] -1.9189999999998988 y[1] (closed_form) 0.21355834980047947 y[1] (numeric) 0.2135583498004478 absolute error 3.166911177743259e-14 relative error 1.4829254771363422e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1639225956580823 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.163922595658094 Order of pole (six term test) 1.000000000000263 TOP MAIN SOLVE Loop x[1] -1.9199999999998987 y[1] (closed_form) 0.2133834073062656 y[1] (numeric) 0.2133834073062339 absolute error 3.169686735304822e-14 relative error 1.4854419916331283e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1648094604374792 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.164809460437494 Order of pole (six term test) 1.0000000000003908 TOP MAIN SOLVE Loop x[1] -1.9209999999998986 y[1] (closed_form) 0.2132086602799479 y[1] (numeric) 0.2132086602799162 absolute error 3.169686735304822e-14 relative error 1.486659468308159e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1656964237860326 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.165696423786015 Order of pole (six term test) 0.9999999999996234 TOP MAIN SOLVE Loop x[1] -1.9219999999998985 y[1] (closed_form) 0.21303410846505585 y[1] (numeric) 0.21303410846502413 absolute error 3.172462292866385e-14 relative error 1.489180448954617e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.166583485582683 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.166583485582673 Order of pole (six term test) 0.9999999999997655 TOP MAIN SOLVE Loop x[1] -1.9229999999998983 y[1] (closed_form) 0.21285975160545917 y[1] (numeric) 0.21285975160542744 absolute error 3.172462292866385e-14 relative error 1.4904002607062244e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1674706457065596 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.167470645706559 Order of pole (six term test) 1.0000000000002593 TOP MAIN SOLVE Loop x[1] -1.9239999999998982 y[1] (closed_form) 0.21268558944536775 y[1] (numeric) 0.21268558944533597 absolute error 3.1780134079895106e-14 relative error 1.4942307169362044e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1683579040369714 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1683579040369674 Order of pole (six term test) 0.9999999999999432 TOP MAIN SOLVE Loop x[1] -1.9249999999998981 y[1] (closed_form) 0.21251162172933102 y[1] (numeric) 0.21251162172929927 absolute error 3.175237850427948e-14 relative error 1.4941478609918767e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.169245260453416 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.169245260453406 Order of pole (six term test) 1.0000000000000853 TOP MAIN SOLVE Loop x[1] -1.925999999999898 y[1] (closed_form) 0.21233784820223808 y[1] (numeric) 0.2123378482022063 absolute error 3.1780134079895106e-14 relative error 1.496677787260356e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1701327148355714 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1701327148355842 Order of pole (six term test) 1.0000000000002736 TOP MAIN SOLVE Loop x[1] -1.926999999999898 y[1] (closed_form) 0.212164268609317 y[1] (numeric) 0.2121642686092852 absolute error 3.1807889655510735e-14 relative error 1.4992104874210623e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1710202670633008 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1710202670632928 Order of pole (six term test) 1.0000000000002522 TOP MAIN SOLVE Loop x[1] -1.9279999999998978 y[1] (closed_form) 0.21199088269613475 y[1] (numeric) 0.2119908826961029 absolute error 3.186340080674199e-14 relative error 1.5030552447113785e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.17190791701665 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.171907917016645 Order of pole (six term test) 1.0000000000000675 TOP MAIN SOLVE Loop x[1] -1.9289999999998977 y[1] (closed_form) 0.2118176902085967 y[1] (numeric) 0.21181769020856486 absolute error 3.1835645231126364e-14 relative error 1.5029738639758946e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.172795664575849 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1727956645758475 Order of pole (six term test) 1.0000000000001208 TOP MAIN SOLVE Loop x[1] -1.9299999999998976 y[1] (closed_form) 0.21164469089294666 y[1] (numeric) 0.2116446908929148 absolute error 3.186340080674199e-14 relative error 1.5055138247176264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1736835096213074 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1736835096213114 Order of pole (six term test) 0.9999999999999254 TOP MAIN SOLVE Loop x[1] -1.9309999999998975 y[1] (closed_form) 0.21147188449576615 y[1] (numeric) 0.21147188449573429 absolute error 3.186340080674199e-14 relative error 1.5067440706227748e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1745714520336197 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1745714520336032 Order of pole (six term test) 0.999999999999897 TOP MAIN SOLVE Loop x[1] -1.9319999999998974 y[1] (closed_form) 0.21129927076397445 y[1] (numeric) 0.21129927076394253 absolute error 3.191891195797325e-14 relative error 1.5106020878617853e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.17545949169356 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1754594916935375 Order of pole (six term test) 1.0000000000000924 TOP MAIN SOLVE Loop x[1] -1.9329999999998972 y[1] (closed_form) 0.21112684944482799 y[1] (numeric) 0.21112684944479607 absolute error 3.191891195797325e-14 relative error 1.511835753808961e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1763476284820866 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1763476284820857 Order of pole (six term test) 1.0000000000001705 TOP MAIN SOLVE Loop x[1] -1.9339999999998971 y[1] (closed_form) 0.21095462028592027 y[1] (numeric) 0.21095462028588835 absolute error 3.191891195797325e-14 relative error 1.5130700581343756e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.177235862280337 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.177235862280314 Order of pole (six term test) 0.9999999999998863 TOP MAIN SOLVE Loop x[1] -1.934999999999897 y[1] (closed_form) 0.21078258303518152 y[1] (numeric) 0.21078258303514955 absolute error 3.197442310920451e-14 relative error 1.5169385747525302e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.17812419296963 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.178124192969621 Order of pole (six term test) 0.9999999999999147 TOP MAIN SOLVE Loop x[1] -1.935999999999897 y[1] (closed_form) 0.21061073744087822 y[1] (numeric) 0.2106107374408462 absolute error 3.200217868482014e-14 relative error 1.5194941660466697e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.179012620431465 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1790126204314757 Order of pole (six term test) 1.000000000000007 TOP MAIN SOLVE Loop x[1] -1.9369999999998968 y[1] (closed_form) 0.21043908325161298 y[1] (numeric) 0.21043908325158098 absolute error 3.200217868482014e-14 relative error 1.5207336104271327e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.179901144547523 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1799011445475065 Order of pole (six term test) 0.9999999999997868 TOP MAIN SOLVE Loop x[1] -1.9379999999998967 y[1] (closed_form) 0.2102676202163242 y[1] (numeric) 0.21026762021629217 absolute error 3.2029934260435766e-14 relative error 1.5232937067287506e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1807897651996626 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1807897651996098 Order of pole (six term test) 0.9999999999994742 TOP MAIN SOLVE Loop x[1] -1.9389999999998966 y[1] (closed_form) 0.21009634808428565 y[1] (numeric) 0.2100963480842536 absolute error 3.2057689836051395e-14 relative error 1.5258565952412755e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1816784822699242 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1816784822699113 Order of pole (six term test) 0.9999999999999041 TOP MAIN SOLVE Loop x[1] -1.9399999999998965 y[1] (closed_form) 0.20992526660510627 y[1] (numeric) 0.20992526660507418 absolute error 3.2085445411667024e-14 relative error 1.5284222776300415e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.182567295640526 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.18256729564052 Order of pole (six term test) 0.999999999999865 TOP MAIN SOLVE Loop x[1] -1.9409999999998964 y[1] (closed_form) 0.20975437552872983 y[1] (numeric) 0.2097543755286977 absolute error 3.214095656289828e-14 relative error 1.5323139973542992e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.183456205193866 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.183456205193884 Order of pole (six term test) 1.000000000000231 TOP MAIN SOLVE Loop x[1] -1.9419999999998963 y[1] (closed_form) 0.20958367460543453 y[1] (numeric) 0.20958367460540236 absolute error 3.216871213851391e-14 relative error 1.5348863502405532e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.184345210812521 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1843452108125327 Order of pole (six term test) 1.000000000000096 TOP MAIN SOLVE Loop x[1] -1.9429999999998961 y[1] (closed_form) 0.2094131635858328 y[1] (numeric) 0.20941316358580064 absolute error 3.216871213851391e-14 relative error 1.5361361047071342e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.185234312379246 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1852343123792437 Order of pole (six term test) 1.0000000000000178 TOP MAIN SOLVE Loop x[1] -1.943999999999896 y[1] (closed_form) 0.209242842220871 y[1] (numeric) 0.20924284222083883 absolute error 3.216871213851391e-14 relative error 1.5373865025479582e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1861235097769742 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.186123509776956 Order of pole (six term test) 0.9999999999998685 TOP MAIN SOLVE Loop x[1] -1.944999999999896 y[1] (closed_form) 0.209072710261829 y[1] (numeric) 0.2090727102617968 absolute error 3.219646771412954e-14 relative error 1.539965099883614e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.187012802888816 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1870128028887814 Order of pole (six term test) 0.999999999999801 TOP MAIN SOLVE Loop x[1] -1.9459999999998958 y[1] (closed_form) 0.20890276746031988 y[1] (numeric) 0.20890276746028769 absolute error 3.219646771412954e-14 relative error 1.5412178644423708e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1879021915980603 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.187902191598028 Order of pole (six term test) 0.9999999999996412 TOP MAIN SOLVE Loop x[1] -1.9469999999998957 y[1] (closed_form) 0.20873301356828974 y[1] (numeric) 0.20873301356825755 absolute error 3.219646771412954e-14 relative error 1.5424712729304818e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1887916757881722 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1887916757881216 Order of pole (six term test) 0.9999999999995133 TOP MAIN SOLVE Loop x[1] -1.9479999999998956 y[1] (closed_form) 0.20856344833801732 y[1] (numeric) 0.20856344833798504 absolute error 3.2279734440976426e-14 relative error 1.5477177184307427e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.189681255342794 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.189681255342774 Order of pole (six term test) 0.999999999999865 TOP MAIN SOLVE Loop x[1] -1.9489999999998955 y[1] (closed_form) 0.2083940715221134 y[1] (numeric) 0.20839407152208114 absolute error 3.22519788653608e-14 relative error 1.5476437803528607e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1905709301457446 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.190570930145742 Order of pole (six term test) 1.0000000000000107 TOP MAIN SOLVE Loop x[1] -1.9499999999998954 y[1] (closed_form) 0.2082248828735211 y[1] (numeric) 0.2082248828734888 absolute error 3.2279734440976426e-14 relative error 1.550234246527761e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1914607000810196 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1914607000809734 Order of pole (six term test) 0.9999999999995559 TOP MAIN SOLVE Loop x[1] -1.9509999999998953 y[1] (closed_form) 0.20805588214551493 y[1] (numeric) 0.20805588214548262 absolute error 3.2307490016592055e-14 relative error 1.5528275232322486e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1923505650327892 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.19235056503281 Order of pole (six term test) 1.0000000000001599 TOP MAIN SOLVE Loop x[1] -1.9519999999998952 y[1] (closed_form) 0.2078870690917009 y[1] (numeric) 0.20788706909166857 absolute error 3.2335245592207684e-14 relative error 1.5554236121316574e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.193240524885401 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.193240524885324 Order of pole (six term test) 0.999999999999222 TOP MAIN SOLVE Loop x[1] -1.952999999999895 y[1] (closed_form) 0.20771844346601595 y[1] (numeric) 0.20771844346598362 absolute error 3.2335245592207684e-14 relative error 1.556686303472033e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1941305795233768 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1941305795234047 Order of pole (six term test) 1.0000000000002807 TOP MAIN SOLVE Loop x[1] -1.953999999999895 y[1] (closed_form) 0.2075500050227278 y[1] (numeric) 0.20755000502269547 absolute error 3.2335245592207684e-14 relative error 1.5579496415173206e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1950207288314134 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.195020728831326 Order of pole (six term test) 0.99999999999919 TOP MAIN SOLVE Loop x[1] -1.9549999999998948 y[1] (closed_form) 0.20738175351643454 y[1] (numeric) 0.20738175351640217 absolute error 3.236300116782331e-14 relative error 1.560552007062599e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1959109726943824 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1959109726944064 Order of pole (six term test) 1.0000000000002558 TOP MAIN SOLVE Loop x[1] -1.9559999999998947 y[1] (closed_form) 0.20721368870206427 y[1] (numeric) 0.2072136887020319 absolute error 3.236300116782331e-14 relative error 1.5618177240382726e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1968013109973303 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1968013109972646 Order of pole (six term test) 0.9999999999992788 TOP MAIN SOLVE Loop x[1] -1.9569999999998946 y[1] (closed_form) 0.20704581033487496 y[1] (numeric) 0.20704581033484254 absolute error 3.241851231905457e-14 relative error 1.5657651930566003e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1976917436254766 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1976917436254624 Order of pole (six term test) 0.9999999999999183 TOP MAIN SOLVE Loop x[1] -1.9579999999998945 y[1] (closed_form) 0.20687811817045382 y[1] (numeric) 0.20687811817042137 absolute error 3.24462678946702e-14 relative error 1.568376016835992e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.198582270464216 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1985822704641182 Order of pole (six term test) 0.9999999999989875 TOP MAIN SOLVE Loop x[1] -1.9589999999998944 y[1] (closed_form) 0.2067106119647173 y[1] (numeric) 0.20671061196468485 absolute error 3.24462678946702e-14 relative error 1.569646937149426e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.1994728913991155 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.199472891399096 Order of pole (six term test) 0.9999999999997264 TOP MAIN SOLVE Loop x[1] -1.9599999999998943 y[1] (closed_form) 0.2065432914739106 y[1] (numeric) 0.20654329147387815 absolute error 3.24462678946702e-14 relative error 1.570918506388218e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2003636063159164 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2003636063159524 Order of pole (six term test) 1.000000000000366 TOP MAIN SOLVE Loop x[1] -1.9609999999998942 y[1] (closed_form) 0.20637615645460738 y[1] (numeric) 0.2063761564545749 absolute error 3.247402347028583e-14 relative error 1.573535626797494e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2012544151005318 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2012544151004616 Order of pole (six term test) 0.9999999999993427 TOP MAIN SOLVE Loop x[1] -1.961999999999894 y[1] (closed_form) 0.20620920666370943 y[1] (numeric) 0.20620920666367692 absolute error 3.250177904590146e-14 relative error 1.5761555738345905e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.202145317639048 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.202145317638988 Order of pole (six term test) 0.9999999999994209 TOP MAIN SOLVE Loop x[1] -1.962999999999894 y[1] (closed_form) 0.20604244185844633 y[1] (numeric) 0.2060424418584138 absolute error 3.2529534621517087e-14 relative error 1.578778349164842e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2030363138177234 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2030363138175852 Order of pole (six term test) 0.9999999999987708 TOP MAIN SOLVE Loop x[1] -1.9639999999998938 y[1] (closed_form) 0.20587586179637518 y[1] (numeric) 0.20587586179634262 absolute error 3.2557290197132716e-14 relative error 1.5814039544535834e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2039274035229885 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2039274035228975 Order of pole (six term test) 0.9999999999990301 TOP MAIN SOLVE Loop x[1] -1.9649999999998937 y[1] (closed_form) 0.2057094662353802 y[1] (numeric) 0.2057094662353476 absolute error 3.2585045772748344e-14 relative error 1.5840323913661492e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2048185866414456 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.204818586641391 Order of pole (six term test) 0.9999999999994067 TOP MAIN SOLVE Loop x[1] -1.9659999999998936 y[1] (closed_form) 0.20554325493367243 y[1] (numeric) 0.20554325493363984 absolute error 3.2585045772748344e-14 relative error 1.5853133095154762e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.205709863059868 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2057098630598664 Order of pole (six term test) 1.0000000000000249 TOP MAIN SOLVE Loop x[1] -1.9669999999998935 y[1] (closed_form) 0.20537722764978952 y[1] (numeric) 0.20537722764975694 absolute error 3.2585045772748344e-14 relative error 1.5865948793657182e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2066012326652005 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2066012326651485 Order of pole (six term test) 0.9999999999994529 TOP MAIN SOLVE Loop x[1] -1.9679999999998934 y[1] (closed_form) 0.20521138414259527 y[1] (numeric) 0.20521138414256265 absolute error 3.2612801348363973e-14 relative error 1.5892296367779632e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2074926953445577 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2074926953444978 Order of pole (six term test) 0.9999999999993072 TOP MAIN SOLVE Loop x[1] -1.9689999999998933 y[1] (closed_form) 0.20504572417127925 y[1] (numeric) 0.2050457241712466 absolute error 3.26405569239796e-14 relative error 1.5918672313651476e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2083842509852265 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.208384250985171 Order of pole (six term test) 0.9999999999993925 TOP MAIN SOLVE Loop x[1] -1.9699999999998932 y[1] (closed_form) 0.20488024749535663 y[1] (numeric) 0.204880247495324 absolute error 3.26405569239796e-14 relative error 1.593152942902383e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2092758994746626 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2092758994746213 Order of pole (six term test) 0.9999999999995666 TOP MAIN SOLVE Loop x[1] -1.970999999999893 y[1] (closed_form) 0.20471495387466782 y[1] (numeric) 0.20471495387463517 absolute error 3.26405569239796e-14 relative error 1.594439307250757e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.210167640700492 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.210167640700497 Order of pole (six term test) 1.0000000000000568 TOP MAIN SOLVE Loop x[1] -1.971999999999893 y[1] (closed_form) 0.20454984306937804 y[1] (numeric) 0.20454984306934537 absolute error 3.266831249959523e-14 relative error 1.597083234550074e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.21105947455051 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2110594745503804 Order of pole (six term test) 0.9999999999985789 TOP MAIN SOLVE Loop x[1] -1.9729999999998928 y[1] (closed_form) 0.20438491483997712 y[1] (numeric) 0.20438491483994442 absolute error 3.269606807521086e-14 relative error 1.5997300045754454e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.211951400912682 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2119514009125996 Order of pole (six term test) 0.9999999999991118 TOP MAIN SOLVE Loop x[1] -1.9739999999998927 y[1] (closed_form) 0.204220168947279 y[1] (numeric) 0.20422016894724632 absolute error 3.269606807521086e-14 relative error 1.6010205183823737e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.212843419675142 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2128434196750915 Order of pole (six term test) 0.999999999999428 TOP MAIN SOLVE Loop x[1] -1.9749999999998926 y[1] (closed_form) 0.20405560515242172 y[1] (numeric) 0.20405560515238896 absolute error 3.275157922644212e-14 relative error 1.6050320794656898e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.213735530726192 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.213735530726147 Order of pole (six term test) 0.9999999999995666 TOP MAIN SOLVE Loop x[1] -1.9759999999998925 y[1] (closed_form) 0.2038912232168666 y[1] (numeric) 0.20389122321683384 absolute error 3.275157922644212e-14 relative error 1.6063260943609265e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2146277339543037 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2146277339542713 Order of pole (six term test) 0.9999999999996518 TOP MAIN SOLVE Loop x[1] -1.9769999999998924 y[1] (closed_form) 0.20372702290239836 y[1] (numeric) 0.20372702290236563 absolute error 3.272382365082649e-14 relative error 1.606258373809538e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2155200292481165 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2155200292479873 Order of pole (six term test) 0.9999999999985896 TOP MAIN SOLVE Loop x[1] -1.9779999999998923 y[1] (closed_form) 0.20356300397112476 y[1] (numeric) 0.20356300397109195 absolute error 3.2807090377673376e-14 relative error 1.6116430656686044e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2164124164964365 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2164124164963703 Order of pole (six term test) 0.9999999999993108 TOP MAIN SOLVE Loop x[1] -1.9789999999998922 y[1] (closed_form) 0.20339916618547582 y[1] (numeric) 0.203399166185443 absolute error 3.2834845953289005e-14 relative error 1.614305828734201e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.217304895588239 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.217304895588239 Order of pole (six term test) 1.0000000000000142 TOP MAIN SOLVE Loop x[1] -1.979999999999892 y[1] (closed_form) 0.20323550930820397 y[1] (numeric) 0.20323550930817116 absolute error 3.2807090377673376e-14 relative error 1.6142400749429006e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2181974664126667 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2181974664126374 Order of pole (six term test) 0.9999999999996732 TOP MAIN SOLVE Loop x[1] -1.980999999999892 y[1] (closed_form) 0.20307203310238361 y[1] (numeric) 0.20307203310235078 absolute error 3.2834845953289005e-14 relative error 1.6169063485337015e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2190901288590266 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2190901288589564 Order of pole (six term test) 0.9999999999992149 TOP MAIN SOLVE Loop x[1] -1.9819999999998918 y[1] (closed_form) 0.20290873733141063 y[1] (numeric) 0.20290873733137776 absolute error 3.2862601528904634e-14 relative error 1.619575478173233e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.219982882816796 Order of pole (given) 1.0 NO POLE (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) 0.9999999999998401 TOP MAIN SOLVE Loop x[1] -1.9829999999998917 y[1] (closed_form) 0.20274562175900215 y[1] (numeric) 0.2027456217589693 absolute error 3.2862601528904634e-14 relative error 1.6208784803238542e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2208757281756157 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2208757281755216 Order of pole (six term test) 0.9999999999989377 TOP MAIN SOLVE Loop x[1] -1.9839999999998916 y[1] (closed_form) 0.20258268614919628 y[1] (numeric) 0.2025826861491634 absolute error 3.289035710452026e-14 relative error 1.6235522259931666e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2217686648252943 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2217686648253103 Order of pole (six term test) 1.0000000000002025 TOP MAIN SOLVE Loop x[1] -1.9849999999998915 y[1] (closed_form) 0.20241993026635163 y[1] (numeric) 0.20241993026631874 absolute error 3.289035710452026e-14 relative error 1.624857644266645e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2226616926558056 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2226616926557163 Order of pole (six term test) 0.9999999999989768 TOP MAIN SOLVE Loop x[1] -1.9859999999998914 y[1] (closed_form) 0.2022573538751472 y[1] (numeric) 0.20225735387511426 absolute error 3.294586825575152e-14 relative error 1.628908300465994e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2235548115572885 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.22355481155727 Order of pole (six term test) 0.9999999999998188 TOP MAIN SOLVE Loop x[1] -1.9869999999998913 y[1] (closed_form) 0.20209495674058167 y[1] (numeric) 0.20209495674054873 absolute error 3.294586825575152e-14 relative error 1.6302172398117952e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2244480214200486 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2244480214200943 Order of pole (six term test) 1.0000000000005151 TOP MAIN SOLVE Loop x[1] -1.9879999999998912 y[1] (closed_form) 0.20193273862797353 y[1] (numeric) 0.20193273862794056 absolute error 3.297362383136715e-14 relative error 1.6329013341474758e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2253413221345544 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.225341322134523 Order of pole (six term test) 0.9999999999996483 TOP MAIN SOLVE Loop x[1] -1.988999999999891 y[1] (closed_form) 0.20177069930296043 y[1] (numeric) 0.2017706993029274 absolute error 3.302913498259841e-14 relative error 1.6369638949907628e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2262347135914413 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.226234713591354 Order of pole (six term test) 0.999999999998991 TOP MAIN SOLVE Loop x[1] -1.989999999999891 y[1] (closed_form) 0.20160883853149889 y[1] (numeric) 0.20160883853146583 absolute error 3.3056890558214036e-14 relative error 1.6396548285778307e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.227128195681507 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.227128195681429 Order of pole (six term test) 0.9999999999991509 TOP MAIN SOLVE Loop x[1] -1.9909999999998909 y[1] (closed_form) 0.20144715607986405 y[1] (numeric) 0.201447156079831 absolute error 3.3056890558214036e-14 relative error 1.640970823390953e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.228021768295715 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.228021768295623 Order of pole (six term test) 0.9999999999989697 TOP MAIN SOLVE Loop x[1] -1.9919999999998907 y[1] (closed_form) 0.20128565171464932 y[1] (numeric) 0.20128565171461626 absolute error 3.3056890558214036e-14 relative error 1.642287479341887e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2289154313251918 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2289154313251656 Order of pole (six term test) 0.9999999999997051 TOP MAIN SOLVE Loop x[1] -1.9929999999998906 y[1] (closed_form) 0.20112432520276605 y[1] (numeric) 0.20112432520273296 absolute error 3.3084646133829665e-14 relative error 1.6449848172504722e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2298091846612267 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2298091846613297 Order of pole (six term test) 1.000000000001215 TOP MAIN SOLVE Loop x[1] -1.9939999999998905 y[1] (closed_form) 0.20096317631144303 y[1] (numeric) 0.20096317631140995 absolute error 3.3084646133829665e-14 relative error 1.646303902091828e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2307030281952738 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2307030281951024 Order of pole (six term test) 0.9999999999980496 TOP MAIN SOLVE Loop x[1] -1.9949999999998904 y[1] (closed_form) 0.20080220480822644 y[1] (numeric) 0.20080220480819333 absolute error 3.3112401709445294e-14 relative error 1.649005883230658e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2315969618189486 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.231596961818999 Order of pole (six term test) 1.0000000000005898 TOP MAIN SOLVE Loop x[1] -1.9959999999998903 y[1] (closed_form) 0.20064141046097925 y[1] (numeric) 0.2006414104609461 absolute error 3.314015728506092e-14 relative error 1.6517107415124567e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.232490985424031 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2324909854239983 Order of pole (six term test) 0.9999999999996518 TOP MAIN SOLVE Loop x[1] -1.9969999999998902 y[1] (closed_form) 0.20048079303788105 y[1] (numeric) 0.20048079303784788 absolute error 3.316791286067655e-14 relative error 1.6544184786025582e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2333850989024624 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.233385098902288 Order of pole (six term test) 0.9999999999979785 TOP MAIN SOLVE Loop x[1] -1.99799999999989 y[1] (closed_form) 0.20032035230742762 y[1] (numeric) 0.20032035230739448 absolute error 3.314015728506092e-14 relative error 1.6543579772763873e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.2342793021463456 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.234279302146451 Order of pole (six term test) 1.000000000001254 TOP MAIN SOLVE Loop x[1] -1.99899999999989 y[1] (closed_form) 0.20016008803843074 y[1] (numeric) 0.20016008803839758 absolute error 3.316791286067655e-14 relative error 1.657069258198383e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.235173595047946 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.23517359504796 Order of pole (six term test) 1.0000000000001634 TOP MAIN SOLVE Loop x[1] -1.9999999999998899 y[1] (closed_form) 0.2000000000000176 y[1] (numeric) 0.19999999999998444 absolute error 3.316791286067655e-14 relative error 1.6583956430336815e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h -0.001 Radius of convergence (given) for eq 1 2.236067977499691 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.236067977499593 Order of pole (six term test) 0.999999999998856 Finished! diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 1.0 ) / ( x * x + 1.0 ) ; Iterations 1001 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Expected Time Remaining 0 Seconds Optimized Time Remaining 0 Seconds Expected Total Time 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 0.0%