##############ECHO OF PROBLEM################# ##############temp/sing1_backpostode.ode################# diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 0.000001 ) / ( x * x + 0.000001 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-1.5) x_end=c(-2.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $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 $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(0.001) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(1.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=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(0.000001))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -1.501 y[1] (closed_form) 0.44385224691322955 y[1] (numeric) 0.44385224691322955 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.5010003331112223 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.501006662315681 Order of pole (three term test) 2.0000310702696926 Radius of convergence (six term test) for eq 1 1.5010001926423853 Order of pole (six term test) 1.000000000011271 TOP MAIN SOLVE Loop x[1] -1.5019999999999998 y[1] (closed_form) 0.44326142894186854 y[1] (numeric) 0.4432614289418685 absolute error 5.551115123125783e-17 relative error 1.252334347334738e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.5020003328894436 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.502006657879929 Order of pole (three term test) 2.000031028910768 Radius of convergence (six term test) for eq 1 1.5020002889883988 Order of pole (six term test) 1.0000000000041167 TOP MAIN SOLVE Loop x[1] -1.5029999999999997 y[1] (closed_form) 0.4426717898548481 y[1] (numeric) 0.44267178985484795 absolute error 1.6653345369377348e-16 relative error 3.762007372287711e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.5030003326679602 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5030066534500754 Order of pole (three term test) 2.000030987634391 Radius of convergence (six term test) for eq 1 1.5030002786535075 Order of pole (six term test) 1.0000000000039302 TOP MAIN SOLVE Loop x[1] -1.5039999999999996 y[1] (closed_form) 0.4420833265178823 y[1] (numeric) 0.44208332651788207 absolute error 2.220446049250313e-16 relative error 5.0226867109870427e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.5040003324467714 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5040066490261157 Order of pole (three term test) 2.000030946440305 Radius of convergence (six term test) for eq 1 1.5040002014862341 Order of pole (six term test) 1.000000000011024 TOP MAIN SOLVE Loop x[1] -1.5049999999999994 y[1] (closed_form) 0.4414960358070948 y[1] (numeric) 0.4414960358070945 absolute error 2.7755575615628914e-16 relative error 6.286710041436545e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.5050003322258765 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.505006644608049 Order of pole (three term test) 2.0000309053283973 Radius of convergence (six term test) for eq 1 1.5050005458970763 Order of pole (six term test) 0.9999999999831548 TOP MAIN SOLVE Loop x[1] -1.5059999999999993 y[1] (closed_form) 0.44090991460897716 y[1] (numeric) 0.4409099146089769 absolute error 2.7755575615628914e-16 relative error 6.295067245254411e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.5060003320052748 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5060066401958332 Order of pole (three term test) 2.000030864298288 Radius of convergence (six term test) for eq 1 1.506000091331948 Order of pole (six term test) 1.000000000019397 TOP MAIN SOLVE Loop x[1] -1.5069999999999992 y[1] (closed_form) 0.4403249598203478 y[1] (numeric) 0.4403249598203475 absolute error 3.3306690738754696e-16 relative error 7.564116000224878e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 Radius of convergence (given) for eq 1 1.507000331784966 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5070066357894785 Order of pole (three term test) 2.000030823349803 Radius of convergence (six term test) for eq 1 1.507000433845467 Order of pole (six term test) 0.9999999999917248 TOP MAIN SOLVE Loop x[1] -1.5079999999999991 y[1] (closed_form) 0.4397411683483107 y[1] (numeric) 0.43974116834831023 absolute error 4.440892098500626e-16 relative error 1.0098877289976815e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5080003315649495 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5080066313889746 Order of pole (three term test) 2.000030782482863 Radius of convergence (six term test) for eq 1 1.508000261616184 Order of pole (six term test) 1.0000000000059242 TOP MAIN SOLVE Loop x[1] -1.508999999999999 y[1] (closed_form) 0.43915853711021446 y[1] (numeric) 0.4391585371102139 absolute error 5.551115123125783e-16 relative error 1.2640344326797485e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5090003313452243 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5090066269942894 Order of pole (three term test) 2.0000307416970013 Radius of convergence (six term test) for eq 1 1.509000218946818 Order of pole (six term test) 1.0000000000094271 TOP MAIN SOLVE Loop x[1] -1.509999999999999 y[1] (closed_form) 0.4385770630336119 y[1] (numeric) 0.43857706303361127 absolute error 6.106226635438361e-16 relative error 1.3922813457689623e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5100003311257904 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.510006622605432 Order of pole (three term test) 2.0000307009922538 Radius of convergence (six term test) for eq 1 1.5100002263281807 Order of pole (six term test) 1.0000000000078906 TOP MAIN SOLVE Loop x[1] -1.5109999999999988 y[1] (closed_form) 0.4379967430562193 y[1] (numeric) 0.43799674305621866 absolute error 6.106226635438361e-16 relative error 1.3941260368355282e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5110003309066469 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.511006618222396 Order of pole (three term test) 2.0000306603683926 Radius of convergence (six term test) for eq 1 1.511000180632217 Order of pole (six term test) 1.0000000000109717 TOP MAIN SOLVE Loop x[1] -1.5119999999999987 y[1] (closed_form) 0.43741757412587634 y[1] (numeric) 0.4374175741258757 absolute error 6.661338147750939e-16 relative error 1.5228784899790047e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5120003306877934 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5120066138451498 Order of pole (three term test) 2.0000306198249924 Radius of convergence (six term test) for eq 1 1.5120002529093894 Order of pole (six term test) 1.0000000000053122 TOP MAIN SOLVE Loop x[1] -1.5129999999999986 y[1] (closed_form) 0.43683955320050577 y[1] (numeric) 0.436839553200505 absolute error 7.771561172376096e-16 relative error 1.7790424688968155e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.513000330469229 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5130066094736814 Order of pole (three term test) 2.0000305793618764 Radius of convergence (six term test) for eq 1 1.51300032772521 Order of pole (six term test) 0.9999999999994627 TOP MAIN SOLVE Loop x[1] -1.5139999999999985 y[1] (closed_form) 0.4362626772480734 y[1] (numeric) 0.4362626772480725 absolute error 8.881784197001252e-16 relative error 2.0358799091013638e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5140003302509533 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5140066051080003 Order of pole (three term test) 2.000030538979046 Radius of convergence (six term test) for eq 1 1.514000276489198 Order of pole (six term test) 1.00000000000375 TOP MAIN SOLVE Loop x[1] -1.5149999999999983 y[1] (closed_form) 0.43568694324654833 y[1] (numeric) 0.4356869432465474 absolute error 9.43689570931383e-16 relative error 2.16598083913055e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5150003300329657 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5150066007480694 Order of pole (three term test) 2.0000304986760566 Radius of convergence (six term test) for eq 1 1.5150004108321327 Order of pole (six term test) 0.9999999999930482 TOP MAIN SOLVE Loop x[1] -1.5159999999999982 y[1] (closed_form) 0.43511234818386385 y[1] (numeric) 0.4351123481838628 absolute error 1.0547118733938987e-15 relative error 2.423998946010636e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5160003298152658 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5160065963938967 Order of pole (three term test) 2.0000304584528505 Radius of convergence (six term test) for eq 1 1.5160000459315088 Order of pole (six term test) 1.0000000000214628 TOP MAIN SOLVE Loop x[1] -1.5169999999999981 y[1] (closed_form) 0.4345388890578773 y[1] (numeric) 0.4345388890578762 absolute error 1.1102230246251565e-15 relative error 2.5549451443396204e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.517000329597853 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5170065920454627 Order of pole (three term test) 2.0000304183091484 Radius of convergence (six term test) for eq 1 1.5170003550876223 Order of pole (six term test) 0.9999999999976605 TOP MAIN SOLVE Loop x[1] -1.517999999999998 y[1] (closed_form) 0.43396656287633145 y[1] (numeric) 0.43396656287633034 absolute error 1.1102230246251565e-15 relative error 2.5583146712193576e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5180003293807265 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.518006587702768 Order of pole (three term test) 2.0000303782447837 Radius of convergence (six term test) for eq 1 1.518000309867855 Order of pole (six term test) 1.0000000000011617 TOP MAIN SOLVE Loop x[1] -1.518999999999998 y[1] (closed_form) 0.43339536665681533 y[1] (numeric) 0.4333953666568141 absolute error 1.2212453270876722e-15 relative error 2.817855060399658e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5190003291638858 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.519006583365777 Order of pole (three term test) 2.0000303382594598 Radius of convergence (six term test) for eq 1 1.5190004221796611 Order of pole (six term test) 0.9999999999931592 TOP MAIN SOLVE Loop x[1] -1.5199999999999978 y[1] (closed_form) 0.432825297426725 y[1] (numeric) 0.4328252974267237 absolute error 1.27675647831893e-15 relative error 2.949819444264526e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5200003289473307 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5200065790344928 Order of pole (three term test) 2.000030298353045 Radius of convergence (six term test) for eq 1 1.5200002054217479 Order of pole (six term test) 1.000000000008889 TOP MAIN SOLVE Loop x[1] -1.5209999999999977 y[1] (closed_form) 0.4322563522232254 y[1] (numeric) 0.43225635222322406 absolute error 1.3322676295501878e-15 relative error 3.0821238894418366e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5210003287310603 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5210065747089292 Order of pole (three term test) 2.0000302585254937 Radius of convergence (six term test) for eq 1 1.5210002253300026 Order of pole (six term test) 1.0000000000075184 TOP MAIN SOLVE Loop x[1] -1.5219999999999976 y[1] (closed_form) 0.43168852809321157 y[1] (numeric) 0.4316885280932101 absolute error 1.4432899320127035e-15 relative error 3.343359478158437e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5220003285150738 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5220065703890255 Order of pole (three term test) 2.00003021877621 Radius of convergence (six term test) for eq 1 1.522000257076731 Order of pole (six term test) 1.0000000000056106 TOP MAIN SOLVE Loop x[1] -1.5229999999999975 y[1] (closed_form) 0.4311218220932703 y[1] (numeric) 0.4311218220932688 absolute error 1.4988010832439613e-15 relative error 3.476514076616854e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5230003282993712 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.523006566074815 Order of pole (three term test) 2.0000301791053823 Radius of convergence (six term test) for eq 1 1.523000234839469 Order of pole (six term test) 1.0000000000076126 TOP MAIN SOLVE Loop x[1] -1.5239999999999974 y[1] (closed_form) 0.43055623128964227 y[1] (numeric) 0.4305562312896407 absolute error 1.5543122344752192e-15 relative error 3.6100098466107387e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5240003280839516 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5240065617662448 Order of pole (three term test) 2.0000301395123636 Radius of convergence (six term test) for eq 1 1.5240001894494366 Order of pole (six term test) 1.0000000000110294 TOP MAIN SOLVE Loop x[1] -1.5249999999999972 y[1] (closed_form) 0.42999175275818363 y[1] (numeric) 0.429991752758182 absolute error 1.609823385706477e-15 relative error 3.743847121206998e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5250003278688145 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.525006557463328 Order of pole (three term test) 2.000030099997307 Radius of convergence (six term test) for eq 1 1.5250002358949863 Order of pole (six term test) 1.0000000000075433 TOP MAIN SOLVE Loop x[1] -1.5259999999999971 y[1] (closed_form) 0.42942838358432867 y[1] (numeric) 0.429428383584327 absolute error 1.6653345369377348e-15 relative error 3.878026233472539e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5260003276539593 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.526006553166067 Order of pole (three term test) 2.000030060560096 Radius of convergence (six term test) for eq 1 1.526000122838075 Order of pole (six term test) 1.0000000000160645 TOP MAIN SOLVE Loop x[1] -1.526999999999997 y[1] (closed_form) 0.4288661208630518 y[1] (numeric) 0.4288661208630501 absolute error 1.7208456881689926e-15 relative error 4.0125475164742697e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5270003274393857 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5270065488744307 Order of pole (three term test) 2.0000300212002453 Radius of convergence (six term test) for eq 1 1.5270002617799652 Order of pole (six term test) 1.0000000000047606 TOP MAIN SOLVE Loop x[1] -1.527999999999997 y[1] (closed_form) 0.4283049616988305 y[1] (numeric) 0.4283049616988287 absolute error 1.7763568394002505e-15 relative error 4.1474113032790976e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5280003272250928 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5280065445883992 Order of pole (three term test) 2.000029981917566 Radius of convergence (six term test) for eq 1 1.5280001747542273 Order of pole (six term test) 1.000000000011755 TOP MAIN SOLVE Loop x[1] -1.5289999999999968 y[1] (closed_form) 0.4277449032056076 y[1] (numeric) 0.42774490320560576 absolute error 1.8318679906315083e-15 relative error 4.282617926953929e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5290003270110804 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5290065403079822 Order of pole (three term test) 2.000029942711987 Radius of convergence (six term test) for eq 1 1.5290002333061041 Order of pole (six term test) 1.000000000006695 TOP MAIN SOLVE Loop x[1] -1.5299999999999967 y[1] (closed_form) 0.42718594250675457 y[1] (numeric) 0.4271859425067526 absolute error 1.942890293094024e-15 relative error 4.548113829994075e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5300003267973474 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5300065360331614 Order of pole (three term test) 2.0000299035832634 Radius of convergence (six term test) for eq 1 1.5300001162268766 Order of pole (six term test) 1.0000000000155298 TOP MAIN SOLVE Loop x[1] -1.5309999999999966 y[1] (closed_form) 0.4266280767350343 y[1] (numeric) 0.4266280767350323 absolute error 1.9984014443252818e-15 relative error 4.684177046243556e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5310003265838938 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5310065317639132 Order of pole (three term test) 2.000029864531095 Radius of convergence (six term test) for eq 1 1.5310001095971026 Order of pole (six term test) 1.0000000000160325 TOP MAIN SOLVE Loop x[1] -1.5319999999999965 y[1] (closed_form) 0.42607130303256446 y[1] (numeric) 0.4260713030325624 absolute error 2.0539125955565396e-15 relative error 4.820584209586065e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.532000326370719 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.532006527500255 Order of pole (three term test) 2.0000298255555315 Radius of convergence (six term test) for eq 1 1.5320001184546799 Order of pole (six term test) 1.0000000000153877 TOP MAIN SOLVE Loop x[1] -1.5329999999999964 y[1] (closed_form) 0.42551561855078085 y[1] (numeric) 0.4255156185507788 absolute error 2.0539125955565396e-15 relative error 4.826879451691446e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5330003261578222 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5330065232421413 Order of pole (three term test) 2.000029786656044 Radius of convergence (six term test) for eq 1 1.5330000744984649 Order of pole (six term test) 1.0000000000182316 TOP MAIN SOLVE Loop x[1] -1.5339999999999963 y[1] (closed_form) 0.4249610204504012 y[1] (numeric) 0.4249610204503991 absolute error 2.1094237467877974e-15 relative error 4.96380525571991e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5340003259452029 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5340065189896008 Order of pole (three term test) 2.0000297478327735 Radius of convergence (six term test) for eq 1 1.5340000640064482 Order of pole (six term test) 1.0000000000197167 TOP MAIN SOLVE Loop x[1] -1.5349999999999961 y[1] (closed_form) 0.4244075059013885 y[1] (numeric) 0.42440750590138626 absolute error 2.220446049250313e-15 relative error 5.231872712840842e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5350003257328606 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5350065147425969 Order of pole (three term test) 2.00002970908536 Radius of convergence (six term test) for eq 1 1.5350001359182632 Order of pole (six term test) 1.00000000001475 TOP MAIN SOLVE Loop x[1] -1.535999999999996 y[1] (closed_form) 0.423855072082915 y[1] (numeric) 0.42385507208291273 absolute error 2.275957200481571e-15 relative error 5.369658995224541e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5360003255207948 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5360065105010998 Order of pole (three term test) 2.000029670413396 Radius of convergence (six term test) for eq 1 1.5360002777305726 Order of pole (six term test) 1.0000000000036158 TOP MAIN SOLVE Loop x[1] -1.536999999999996 y[1] (closed_form) 0.42330371618332663 y[1] (numeric) 0.42330371618332424 absolute error 2.3869795029440866e-15 relative error 5.638928768369992e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.537000325309005 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5370065062651488 Order of pole (three term test) 2.00002963181709 Radius of convergence (six term test) for eq 1 1.5370003910274768 Order of pole (six term test) 0.9999999999944302 TOP MAIN SOLVE Loop x[1] -1.5379999999999958 y[1] (closed_form) 0.4227534354001067 y[1] (numeric) 0.4227534354001043 absolute error 2.3869795029440866e-15 relative error 5.646268730341545e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5380003250974907 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5380065020347018 Order of pole (three term test) 2.000029593296017 Radius of convergence (six term test) for eq 1 1.5380003641498283 Order of pole (six term test) 0.9999999999969642 TOP MAIN SOLVE Loop x[1] -1.5389999999999957 y[1] (closed_form) 0.4222042269398407 y[1] (numeric) 0.4222042269398383 absolute error 2.4424906541753444e-15 relative error 5.785092849208663e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5390003248862514 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5390064978097413 Order of pole (three term test) 2.000029554849942 Radius of convergence (six term test) for eq 1 1.5390002018616975 Order of pole (six term test) 1.0000000000092726 TOP MAIN SOLVE Loop x[1] -1.5399999999999956 y[1] (closed_form) 0.4216560880181808 y[1] (numeric) 0.4216560880181783 absolute error 2.4980018054066022e-15 relative error 5.924263579704071e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5400003246752862 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5400064935902817 Order of pole (three term test) 2.000029516478786 Radius of convergence (six term test) for eq 1 1.540000184050666 Order of pole (six term test) 1.0000000000097575 TOP MAIN SOLVE Loop x[1] -1.5409999999999955 y[1] (closed_form) 0.4211090158598102 y[1] (numeric) 0.4211090158598076 absolute error 2.609024107869118e-15 relative error 6.195602586522816e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5410003244645947 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.541006489376289 Order of pole (three term test) 2.00002947818232 Radius of convergence (six term test) for eq 1 1.5409999714519567 Order of pole (six term test) 1.0000000000269091 TOP MAIN SOLVE Loop x[1] -1.5419999999999954 y[1] (closed_form) 0.4205630076984083 y[1] (numeric) 0.4205630076984057 absolute error 2.609024107869118e-15 relative error 6.203646207847377e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5420003242541767 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5420064851677677 Order of pole (three term test) 2.000029439960374 Radius of convergence (six term test) for eq 1 1.5420001520780509 Order of pole (six term test) 1.0000000000122533 TOP MAIN SOLVE Loop x[1] -1.5429999999999953 y[1] (closed_form) 0.42001806077661596 y[1] (numeric) 0.42001806077661324 absolute error 2.7200464103316335e-15 relative error 6.47602249603803e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5430003240440313 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.543006480964697 Order of pole (three term test) 2.000029401812642 Radius of convergence (six term test) for eq 1 1.5430001936142275 Order of pole (six term test) 1.000000000009563 TOP MAIN SOLVE Loop x[1] -1.5439999999999952 y[1] (closed_form) 0.419474172346 y[1] (numeric) 0.41947417234599726 absolute error 2.7200464103316335e-15 relative error 6.484419279306723e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5440003238341582 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5440064767670754 Order of pole (three term test) 2.0000293637390163 Radius of convergence (six term test) for eq 1 1.544000311590201 Order of pole (six term test) 1.0000000000007505 TOP MAIN SOLVE Loop x[1] -1.544999999999995 y[1] (closed_form) 0.41893133966701923 y[1] (numeric) 0.41893133966701646 absolute error 2.7755575615628914e-15 relative error 6.62532806394718e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5450003236245566 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5450064725748887 Order of pole (three term test) 2.000029325739383 Radius of convergence (six term test) for eq 1 1.5450003541544464 Order of pole (six term test) 0.9999999999982307 TOP MAIN SOLVE Loop x[1] -1.545999999999995 y[1] (closed_form) 0.41838956000898975 y[1] (numeric) 0.41838956000898686 absolute error 2.886579864025407e-15 relative error 6.899263604864769e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5460003234152264 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5460064683881298 Order of pole (three term test) 2.000029287813391 Radius of convergence (six term test) for eq 1 1.5460000608472015 Order of pole (six term test) 1.0000000000203642 TOP MAIN SOLVE Loop x[1] -1.5469999999999948 y[1] (closed_form) 0.4178488306500502 y[1] (numeric) 0.4178488306500473 absolute error 2.886579864025407e-15 relative error 6.908191796384198e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5470003232061666 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5470064642067591 Order of pole (three term test) 2.00002924996085 Radius of convergence (six term test) for eq 1 1.5470002573069348 Order of pole (six term test) 1.0000000000048423 TOP MAIN SOLVE Loop x[1] -1.5479999999999947 y[1] (closed_form) 0.4173091488771282 y[1] (numeric) 0.4173091488771253 absolute error 2.942091015256665e-15 relative error 7.050147410314574e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.548000322997377 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5480064600308188 Order of pole (three term test) 2.0000292121817718 Radius of convergence (six term test) for eq 1 1.5480001120388571 Order of pole (six term test) 1.0000000000152616 TOP MAIN SOLVE Loop x[1] -1.5489999999999946 y[1] (closed_form) 0.41677051198590603 y[1] (numeric) 0.41677051198590304 absolute error 2.9976021664879227e-15 relative error 7.192452633475405e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5490003227888571 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5490064558602523 Order of pole (three term test) 2.0000291744757477 Radius of convergence (six term test) for eq 1 1.5490003051326202 Order of pole (six term test) 1.0000000000012115 TOP MAIN SOLVE Loop x[1] -1.5499999999999945 y[1] (closed_form) 0.4162329172807866 y[1] (numeric) 0.41623291728078354 absolute error 3.0531133177191805e-15 relative error 7.335107798933597e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.550000322580606 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5500064516950827 Order of pole (three term test) 2.0000291368427585 Radius of convergence (six term test) for eq 1 1.550000253035241 Order of pole (six term test) 1.0000000000051257 TOP MAIN SOLVE Loop x[1] -1.5509999999999944 y[1] (closed_form) 0.41569636207485994 y[1] (numeric) 0.41569636207485683 absolute error 3.1086244689504383e-15 relative error 7.478113239756059e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5510003223726236 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5510064475352718 Order of pole (three term test) 2.0000290992824876 Radius of convergence (six term test) for eq 1 1.5510003383882163 Order of pole (six term test) 0.9999999999991749 TOP MAIN SOLVE Loop x[1] -1.5519999999999943 y[1] (closed_form) 0.41516084368986955 y[1] (numeric) 0.41516084368986644 absolute error 3.1086244689504383e-15 relative error 7.487759301483212e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5520003221649095 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5520064433808165 Order of pole (three term test) 2.0000290617947467 Radius of convergence (six term test) for eq 1 1.5520002599376708 Order of pole (six term test) 1.0000000000047056 TOP MAIN SOLVE Loop x[1] -1.5529999999999942 y[1] (closed_form) 0.4146263594561792 y[1] (numeric) 0.414626359456176 absolute error 3.219646771412954e-15 relative error 7.765176279761418e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5530003219574624 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5530064392317218 Order of pole (three term test) 2.00002902437945 Radius of convergence (six term test) for eq 1 1.553000300267383 Order of pole (six term test) 1.0000000000008331 TOP MAIN SOLVE Loop x[1] -1.553999999999994 y[1] (closed_form) 0.414092906712739 y[1] (numeric) 0.4140929067127358 absolute error 3.219646771412954e-15 relative error 7.775179722280198e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5540003217502827 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5540064350879643 Order of pole (three term test) 2.0000289870364107 Radius of convergence (six term test) for eq 1 1.5540001998398019 Order of pole (six term test) 1.0000000000088 TOP MAIN SOLVE Loop x[1] -1.554999999999994 y[1] (closed_form) 0.41356048280705326 y[1] (numeric) 0.41356048280704993 absolute error 3.3306690738754696e-15 relative error 8.053644418026743e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.555000321543369 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5550064309495506 Order of pole (three term test) 2.0000289497654307 Radius of convergence (six term test) for eq 1 1.5550003978795874 Order of pole (six term test) 0.9999999999942775 TOP MAIN SOLVE Loop x[1] -1.5559999999999938 y[1] (closed_form) 0.4130290850951466 y[1] (numeric) 0.4130290850951432 absolute error 3.3861802251067274e-15 relative error 8.198406231674162e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5560003213367215 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5560064268164442 Order of pole (three term test) 2.0000289125662376 Radius of convergence (six term test) for eq 1 1.5560002145229996 Order of pole (six term test) 1.0000000000079012 TOP MAIN SOLVE Loop x[1] -1.5569999999999937 y[1] (closed_form) 0.41249871094153157 y[1] (numeric) 0.4124987109415282 absolute error 3.3861802251067274e-15 relative error 8.208947410714919e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5570003211303396 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5570064226886524 Order of pole (three term test) 2.000028875438767 Radius of convergence (six term test) for eq 1 1.557000288351356 Order of pole (six term test) 1.000000000002344 TOP MAIN SOLVE Loop x[1] -1.5579999999999936 y[1] (closed_form) 0.41196935771917614 y[1] (numeric) 0.4119693577191727 absolute error 3.4416913763379853e-15 relative error 8.354241187724587e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5580003209242226 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5580064185661564 Order of pole (three term test) 2.0000288383826508 Radius of convergence (six term test) for eq 1 1.5580002970098794 Order of pole (six term test) 1.0000000000021307 TOP MAIN SOLVE Loop x[1] -1.5589999999999935 y[1] (closed_form) 0.4114410228094708 y[1] (numeric) 0.41144102280946726 absolute error 3.552713678800501e-15 relative error 8.634806647478328e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5590003207183698 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5590064144489435 Order of pole (three term test) 2.0000288013977943 Radius of convergence (six term test) for eq 1 1.559000161659914 Order of pole (six term test) 1.0000000000114628 TOP MAIN SOLVE Loop x[1] -1.5599999999999934 y[1] (closed_form) 0.41091370360219626 y[1] (numeric) 0.41091370360219265 absolute error 3.608224830031759e-15 relative error 8.780979554590044e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.560000320512781 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.560006410337014 Order of pole (three term test) 2.0000287644841106 Radius of convergence (six term test) for eq 1 1.5600001862257946 Order of pole (six term test) 1.0000000000092744 TOP MAIN SOLVE Loop x[1] -1.5609999999999933 y[1] (closed_form) 0.4103873974954913 y[1] (numeric) 0.41038739749548764 absolute error 3.6637359812630166e-15 relative error 8.927506067735104e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5610003203074556 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5610064062303466 Order of pole (three term test) 2.000028727641267 Radius of convergence (six term test) for eq 1 1.5610002783598877 Order of pole (six term test) 1.0000000000026867 TOP MAIN SOLVE Loop x[1] -1.5619999999999932 y[1] (closed_form) 0.40986210189582073 y[1] (numeric) 0.409862101895817 absolute error 3.7192471324942744e-15 relative error 9.074386519980414e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.562000320102393 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5620064021289488 Order of pole (three term test) 2.0000286908693568 Radius of convergence (six term test) for eq 1 1.5620003557715112 Order of pole (six term test) 0.9999999999974412 TOP MAIN SOLVE Loop x[1] -1.562999999999993 y[1] (closed_form) 0.40933781421794324 y[1] (numeric) 0.40933781421793947 absolute error 3.774758283725532e-15 relative error 9.221621244392883e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5630003198975932 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5630063980328 Order of pole (three term test) 2.0000286541678474 Radius of convergence (six term test) for eq 1 1.5630000995969835 Order of pole (six term test) 1.0000000000154516 TOP MAIN SOLVE Loop x[1] -1.563999999999993 y[1] (closed_form) 0.4088145318848798 y[1] (numeric) 0.408814531884876 absolute error 3.83026943495679e-15 relative error 9.369210574039416e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.564000319693055 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5640063939418776 Order of pole (three term test) 2.000028617536715 Radius of convergence (six term test) for eq 1 1.5640003177998205 Order of pole (six term test) 1.000000000000381 TOP MAIN SOLVE Loop x[1] -1.5649999999999928 y[1] (closed_form) 0.408292252327882 y[1] (numeric) 0.4082922523278781 absolute error 3.941291737419306e-15 relative error 9.653114196872448e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.565000319488778 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5650063898561861 Order of pole (three term test) 2.000028580975835 Radius of convergence (six term test) for eq 1 1.5650004045181023 Order of pole (six term test) 0.9999999999934825 TOP MAIN SOLVE Loop x[1] -1.5659999999999927 y[1] (closed_form) 0.4077709729864001 y[1] (numeric) 0.40777097298639614 absolute error 3.941291737419306e-15 relative error 9.665454381302308e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5660003192847622 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5660063857757243 Order of pole (three term test) 2.0000285444849712 Radius of convergence (six term test) for eq 1 1.5660002011799923 Order of pole (six term test) 1.0000000000079163 TOP MAIN SOLVE Loop x[1] -1.5669999999999926 y[1] (closed_form) 0.4072506913080523 y[1] (numeric) 0.40725069130804825 absolute error 4.052314039881821e-15 relative error 9.950416601789321e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 Radius of convergence (given) for eq 1 1.5670003190810067 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.567006381700451 Order of pole (three term test) 2.000028508063881 Radius of convergence (six term test) for eq 1 1.567000023602913 Order of pole (six term test) 1.0000000000205205 TOP MAIN SOLVE Loop x[1] -1.5679999999999925 y[1] (closed_form) 0.40673140474859304 y[1] (numeric) 0.4067314047485889 absolute error 4.163336342344337e-15 relative error 1.0236082814696249e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5680003188775111 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5680063776304016 Order of pole (three term test) 2.000028471712613 Radius of convergence (six term test) for eq 1 1.5680002253696037 Order of pole (six term test) 1.0000000000065734 TOP MAIN SOLVE Loop x[1] -1.5689999999999924 y[1] (closed_form) 0.40621311077188194 y[1] (numeric) 0.4062131107718778 absolute error 4.163336342344337e-15 relative error 1.024914320080218e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.569000318674275 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5690063735655035 Order of pole (three term test) 2.0000284354305484 Radius of convergence (six term test) for eq 1 1.5690002039313211 Order of pole (six term test) 1.000000000008412 TOP MAIN SOLVE Loop x[1] -1.5699999999999923 y[1] (closed_form) 0.4056958068498531 y[1] (numeric) 0.4056958068498489 absolute error 4.218847493575595e-15 relative error 1.0399041405761876e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5700003184712976 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.570006369505821 Order of pole (three term test) 2.000028399218074 Radius of convergence (six term test) for eq 1 1.5700001939978203 Order of pole (six term test) 1.0000000000093818 TOP MAIN SOLVE Loop x[1] -1.5709999999999922 y[1] (closed_form) 0.40517949046248397 y[1] (numeric) 0.40517949046247975 absolute error 4.218847493575595e-15 relative error 1.0412292805739196e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5710003182685788 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5710063654513007 Order of pole (three term test) 2.0000283630746813 Radius of convergence (six term test) for eq 1 1.5710002499206255 Order of pole (six term test) 1.000000000004312 TOP MAIN SOLVE Loop x[1] -1.571999999999992 y[1] (closed_form) 0.4046641590977648 y[1] (numeric) 0.40466415909776055 absolute error 4.274358644806853e-15 relative error 1.0562730967666916e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5720003180661177 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5720063614019302 Order of pole (three term test) 2.0000283270001824 Radius of convergence (six term test) for eq 1 1.5720002244402196 Order of pole (six term test) 1.000000000006799 TOP MAIN SOLVE Loop x[1] -1.572999999999992 y[1] (closed_form) 0.4041498102516682 y[1] (numeric) 0.40414981025166385 absolute error 4.3298697960381105e-15 relative error 1.071352673243087e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.573000317863914 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.573006357357698 Order of pole (three term test) 2.000028290994362 Radius of convergence (six term test) for eq 1 1.5730002151058389 Order of pole (six term test) 1.000000000006625 TOP MAIN SOLVE Loop x[1] -1.5739999999999919 y[1] (closed_form) 0.4036364414281183 y[1] (numeric) 0.40363644142811395 absolute error 4.3298697960381105e-15 relative error 1.0727152832679e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5740003176619675 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5740063533186095 Order of pole (three term test) 2.0000282550572144 Radius of convergence (six term test) for eq 1 1.5740003068677864 Order of pole (six term test) 1.0000000000009308 TOP MAIN SOLVE Loop x[1] -1.5749999999999917 y[1] (closed_form) 0.403124050138961 y[1] (numeric) 0.40312405013895664 absolute error 4.385380947269368e-15 relative error 1.0878489997700911e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5750003174602774 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5750063492846582 Order of pole (three term test) 2.000028219188539 Radius of convergence (six term test) for eq 1 1.5750003487239568 Order of pole (six term test) 0.9999999999978684 TOP MAIN SOLVE Loop x[1] -1.5759999999999916 y[1] (closed_form) 0.40261263390393365 y[1] (numeric) 0.40261263390392915 absolute error 4.496403249731884e-15 relative error 1.1168062974409191e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.576000317258843 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5760063452558322 Order of pole (three term test) 2.000028183388185 Radius of convergence (six term test) for eq 1 1.576000293291629 Order of pole (six term test) 1.0000000000016573 TOP MAIN SOLVE Loop x[1] -1.5769999999999915 y[1] (closed_form) 0.4021021902506346 y[1] (numeric) 0.40210219025063004 absolute error 4.551914400963142e-15 relative error 1.1320292481187146e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5770003170576643 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5770063412321094 Order of pole (three term test) 2.0000281476559265 Radius of convergence (six term test) for eq 1 1.577000194623626 Order of pole (six term test) 1.0000000000088614 TOP MAIN SOLVE Loop x[1] -1.5779999999999914 y[1] (closed_form) 0.40159271671449404 y[1] (numeric) 0.40159271671448943 absolute error 4.6074255521944e-15 relative error 1.1472881256135866e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5780003168567405 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.578006337213489 Order of pole (three term test) 2.000028111991468 Radius of convergence (six term test) for eq 1 1.578000242420134 Order of pole (six term test) 1.000000000004741 TOP MAIN SOLVE Loop x[1] -1.5789999999999913 y[1] (closed_form) 0.4010842108387436 y[1] (numeric) 0.401084210838739 absolute error 4.6074255521944e-15 relative error 1.1487426898604146e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.579000316656071 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.579006333199959 Order of pole (three term test) 2.0000280763948424 Radius of convergence (six term test) for eq 1 1.5790002385156827 Order of pole (six term test) 1.0000000000049027 TOP MAIN SOLVE Loop x[1] -1.5799999999999912 y[1] (closed_form) 0.40057667017438753 y[1] (numeric) 0.40057667017438275 absolute error 4.773959005888173e-15 relative error 1.1917716036258107e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5800003164556558 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.580006329191505 Order of pole (three term test) 2.0000280408656845 Radius of convergence (six term test) for eq 1 1.5800001791210796 Order of pole (six term test) 1.0000000000100489 TOP MAIN SOLVE Loop x[1] -1.580999999999991 y[1] (closed_form) 0.40007009228017193 y[1] (numeric) 0.4000700922801672 absolute error 4.718447854656915e-15 relative error 1.1794052956481818e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.581000316255494 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5810063251881172 Order of pole (three term test) 2.000028005403909 Radius of convergence (six term test) for eq 1 1.5810004020704578 Order of pole (six term test) 0.9999999999925651 TOP MAIN SOLVE Loop x[1] -1.581999999999991 y[1] (closed_form) 0.39956447472255696 y[1] (numeric) 0.39956447472255213 absolute error 4.829470157119431e-15 relative error 1.208683569897659e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.582000316055585 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5820063211898026 Order of pole (three term test) 2.0000279700095227 Radius of convergence (six term test) for eq 1 1.582000149503862 Order of pole (six term test) 1.0000000000114007 TOP MAIN SOLVE Loop x[1] -1.5829999999999909 y[1] (closed_form) 0.3990598150756863 y[1] (numeric) 0.3990598150756814 absolute error 4.884981308350689e-15 relative error 1.2241225810782767e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.583000315855929 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5830063171965296 Order of pole (three term test) 2.0000279346820657 Radius of convergence (six term test) for eq 1 1.5830002159789884 Order of pole (six term test) 1.0000000000066533 TOP MAIN SOLVE Loop x[1] -1.5839999999999907 y[1] (closed_form) 0.39855611092135873 y[1] (numeric) 0.3985561109213538 absolute error 4.9404924595819466e-15 relative error 1.2395977189161157e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.584000315656525 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.584006313208312 Order of pole (three term test) 2.0000278994215814 Radius of convergence (six term test) for eq 1 1.5840002803713036 Order of pole (six term test) 1.0000000000032143 TOP MAIN SOLVE Loop x[1] -1.5849999999999906 y[1] (closed_form) 0.3980533598489992 y[1] (numeric) 0.39805335984899415 absolute error 5.051514762044462e-15 relative error 1.269054672459176e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5850003154573724 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5850063092251128 Order of pole (three term test) 2.000027864227738 Radius of convergence (six term test) for eq 1 1.5850000884277837 Order of pole (six term test) 1.0000000000154428 TOP MAIN SOLVE Loop x[1] -1.5859999999999905 y[1] (closed_form) 0.3975515594556295 y[1] (numeric) 0.39755155945562437 absolute error 5.10702591327572e-15 relative error 1.2846197661175852e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5860003152584712 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5860063052469278 Order of pole (three term test) 2.000027829100386 Radius of convergence (six term test) for eq 1 1.586000175738326 Order of pole (six term test) 1.0000000000091713 TOP MAIN SOLVE Loop x[1] -1.5869999999999904 y[1] (closed_form) 0.3970507073458399 y[1] (numeric) 0.3970507073458348 absolute error 5.10702591327572e-15 relative error 1.2862402254398675e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5870003150598206 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5870063012737796 Order of pole (three term test) 2.0000277940395494 Radius of convergence (six term test) for eq 1 1.5870002998078958 Order of pole (six term test) 1.0000000000009663 TOP MAIN SOLVE Loop x[1] -1.5879999999999903 y[1] (closed_form) 0.3965508011317608 y[1] (numeric) 0.39655080113175567 absolute error 5.10702591327572e-15 relative error 1.2878617061673325e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5880003148614201 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5880062973056344 Order of pole (three term test) 2.000027759044863 Radius of convergence (six term test) for eq 1 1.5880004699347574 Order of pole (six term test) 0.9999999999894627 TOP MAIN SOLVE Loop x[1] -1.5889999999999902 y[1] (closed_form) 0.39605183843303365 y[1] (numeric) 0.3960518384330285 absolute error 5.162537064506978e-15 relative error 1.3035003409988929e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5890003146632694 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.589006293342475 Order of pole (three term test) 2.0000277241162765 Radius of convergence (six term test) for eq 1 1.5890001426932758 Order of pole (six term test) 1.0000000000118723 TOP MAIN SOLVE Loop x[1] -1.58999999999999 y[1] (closed_form) 0.3955538168767832 y[1] (numeric) 0.39555381687677793 absolute error 5.2735593669694936e-15 relative error 1.3332090709194777e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5900003144653678 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5900062893843048 Order of pole (three term test) 2.0000276892536246 Radius of convergence (six term test) for eq 1 1.5900001506268453 Order of pole (six term test) 1.0000000000109877 TOP MAIN SOLVE Loop x[1] -1.59099999999999 y[1] (closed_form) 0.39505673409758874 y[1] (numeric) 0.3950567340975834 absolute error 5.329070518200751e-15 relative error 1.3489380279452064e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5910003142677152 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5910062854310933 Order of pole (three term test) 2.0000276544564692 Radius of convergence (six term test) for eq 1 1.5910002738418514 Order of pole (six term test) 1.0000000000034506 TOP MAIN SOLVE Loop x[1] -1.5919999999999899 y[1] (closed_form) 0.3945605877374565 y[1] (numeric) 0.3945605877374511 absolute error 5.384581669432009e-15 relative error 1.3647033780816823e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5920003140703107 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5920062814828655 Order of pole (three term test) 2.0000276197249356 Radius of convergence (six term test) for eq 1 1.592000141111766 Order of pole (six term test) 1.000000000011994 TOP MAIN SOLVE Loop x[1] -1.5929999999999898 y[1] (closed_form) 0.3940653754457915 y[1] (numeric) 0.39406537544578607 absolute error 5.440092820663267e-15 relative error 1.3805051546355963e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.593000313873154 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5930062775396021 Order of pole (three term test) 2.0000275850590263 Radius of convergence (six term test) for eq 1 1.59300009677705 Order of pole (six term test) 1.0000000000142535 TOP MAIN SOLVE Loop x[1] -1.5939999999999896 y[1] (closed_form) 0.3935710948793697 y[1] (numeric) 0.39357109487936415 absolute error 5.551115123125783e-15 relative error 1.410447869609736e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5940003136762448 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.594006273601273 Order of pole (three term test) 2.000027550458125 Radius of convergence (six term test) for eq 1 1.5940002826340245 Order of pole (six term test) 1.0000000000022649 TOP MAIN SOLVE Loop x[1] -1.5949999999999895 y[1] (closed_form) 0.3930777437023101 y[1] (numeric) 0.3930777437023045 absolute error 5.551115123125783e-15 relative error 1.4122181202225008e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5950003134795827 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5950062696678806 Order of pole (three term test) 2.000027515922324 Radius of convergence (six term test) for eq 1 1.5950004456048665 Order of pole (six term test) 0.9999999999910685 TOP MAIN SOLVE Loop x[1] -1.5959999999999894 y[1] (closed_form) 0.3925853195860475 y[1] (numeric) 0.3925853195860419 absolute error 5.551115123125783e-15 relative error 1.4139894810582902e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5960003132831668 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5960062657394236 Order of pole (three term test) 2.000027481451359 Radius of convergence (six term test) for eq 1 1.5960003946696673 Order of pole (six term test) 0.9999999999950182 TOP MAIN SOLVE Loop x[1] -1.5969999999999893 y[1] (closed_form) 0.3920938202093049 y[1] (numeric) 0.3920938202092993 absolute error 5.6066262743570405e-15 relative error 1.429919571638275e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.597000313086997 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5970062618158813 Order of pole (three term test) 2.000027447045192 Radius of convergence (six term test) for eq 1 1.5970001336168174 Order of pole (six term test) 1.0000000000113456 TOP MAIN SOLVE Loop x[1] -1.5979999999999892 y[1] (closed_form) 0.39160324325806595 y[1] (numeric) 0.39160324325806023 absolute error 5.717648576819556e-15 relative error 1.4600615994009107e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5980003128910725 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5980062578972456 Order of pole (three term test) 2.0000274127035924 Radius of convergence (six term test) for eq 1 1.5980002103370785 Order of pole (six term test) 1.0000000000065308 TOP MAIN SOLVE Loop x[1] -1.598999999999989 y[1] (closed_form) 0.3911135864255479 y[1] (numeric) 0.3911135864255421 absolute error 5.773159728050814e-15 relative error 1.4760826338999575e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.5990003126953931 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.599006253983542 Order of pole (three term test) 2.00002737842653 Radius of convergence (six term test) for eq 1 1.599000335258454 Order of pole (six term test) 0.9999999999982325 TOP MAIN SOLVE Loop x[1] -1.599999999999989 y[1] (closed_form) 0.3906248474121743 y[1] (numeric) 0.3906248474121686 absolute error 5.717648576819556e-15 relative error 1.4637186074306442e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6000003124999587 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6000062500747012 Order of pole (three term test) 2.0000273442136165 Radius of convergence (six term test) for eq 1 1.6000001111554458 Order of pole (six term test) 1.0000000000141478 TOP MAIN SOLVE Loop x[1] -1.6009999999999889 y[1] (closed_form) 0.39013702392554855 y[1] (numeric) 0.3901370239255427 absolute error 5.828670879282072e-15 relative error 1.4940060855117357e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.601000312304768 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6010062461707473 Order of pole (three term test) 2.000027310064755 Radius of convergence (six term test) for eq 1 1.6010001638375118 Order of pole (six term test) 1.0000000000103046 TOP MAIN SOLVE Loop x[1] -1.6019999999999888 y[1] (closed_form) 0.3896501136804261 y[1] (numeric) 0.38965011368042024 absolute error 5.88418203051333e-15 relative error 1.510119418401935e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.602000312109821 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6020062422716805 Order of pole (three term test) 2.000027275979925 Radius of convergence (six term test) for eq 1 1.6020003456758694 Order of pole (six term test) 0.9999999999980425 TOP MAIN SOLVE Loop x[1] -1.6029999999999887 y[1] (closed_form) 0.38916411439868853 y[1] (numeric) 0.38916411439868265 absolute error 5.88418203051333e-15 relative error 1.5120052987427144e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6030003119151175 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6030062383774608 Order of pole (three term test) 2.000027241958717 Radius of convergence (six term test) for eq 1 1.6030002452261471 Order of pole (six term test) 1.0000000000052136 TOP MAIN SOLVE Loop x[1] -1.6039999999999885 y[1] (closed_form) 0.3886790238093165 y[1] (numeric) 0.3886790238093105 absolute error 5.995204332975845e-15 relative error 1.5424563626353694e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6040003117206565 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.604006234488101 Order of pole (three term test) 2.0000272080011907 Radius of convergence (six term test) for eq 1 1.6040000417270874 Order of pole (six term test) 1.0000000000179758 TOP MAIN SOLVE Loop x[1] -1.6049999999999884 y[1] (closed_form) 0.3881948396483632 y[1] (numeric) 0.38819483964835716 absolute error 6.050715484207103e-15 relative error 1.5586800405919862e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.605000311526438 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6050062306036093 Order of pole (three term test) 2.0000271741072466 Radius of convergence (six term test) for eq 1 1.605000213635346 Order of pole (six term test) 1.0000000000062972 TOP MAIN SOLVE Loop x[1] -1.6059999999999883 y[1] (closed_form) 0.387711559658928 y[1] (numeric) 0.38771155965892196 absolute error 6.050715484207103e-15 relative error 1.560622925333965e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6060003113324612 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6060062267239223 Order of pole (three term test) 2.0000271402763565 Radius of convergence (six term test) for eq 1 1.606000218929396 Order of pole (six term test) 1.0000000000064757 TOP MAIN SOLVE Loop x[1] -1.6069999999999882 y[1] (closed_form) 0.38722918159113034 y[1] (numeric) 0.38722918159112424 absolute error 6.106226635438361e-15 relative error 1.5769024974687565e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.607000311138726 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6070062228490845 Order of pole (three term test) 2.0000271065087585 Radius of convergence (six term test) for eq 1 1.6070001887747436 Order of pole (six term test) 1.000000000006965 TOP MAIN SOLVE Loop x[1] -1.607999999999988 y[1] (closed_form) 0.3867477032020833 y[1] (numeric) 0.38674770320207713 absolute error 6.161737786669619e-15 relative error 1.5932189734168865e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6080003109452317 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.608006218979055 Order of pole (three term test) 2.0000270728040537 Radius of convergence (six term test) for eq 1 1.6080002936656863 Order of pole (six term test) 1.0000000000016724 TOP MAIN SOLVE Loop x[1] -1.608999999999988 y[1] (closed_form) 0.3862671222558675 y[1] (numeric) 0.3862671222558613 absolute error 6.217248937900877e-15 relative error 1.6095723864850459e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.609000310751978 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6090062151138624 Order of pole (three term test) 2.0000270391624118 Radius of convergence (six term test) for eq 1 1.6090004564886535 Order of pole (six term test) 0.9999999999899574 TOP MAIN SOLVE Loop x[1] -1.6099999999999879 y[1] (closed_form) 0.3857874365235055 y[1] (numeric) 0.38578743652349917 absolute error 6.328271240363392e-15 relative error 1.6403518210416942e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6100003105589642 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6100062112534395 Order of pole (three term test) 2.0000270055832066 Radius of convergence (six term test) for eq 1 1.6100001169465206 Order of pole (six term test) 1.0000000000127471 TOP MAIN SOLVE Loop x[1] -1.6109999999999878 y[1] (closed_form) 0.3853086437829353 y[1] (numeric) 0.38530864378292895 absolute error 6.328271240363392e-15 relative error 1.6423901572082152e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.61100031036619 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6110062073978197 Order of pole (three term test) 2.000026972066524 Radius of convergence (six term test) for eq 1 1.6110001992843266 Order of pole (six term test) 1.000000000007069 TOP MAIN SOLVE Loop x[1] -1.6119999999999877 y[1] (closed_form) 0.3848307418189853 y[1] (numeric) 0.38483074181897897 absolute error 6.328271240363392e-15 relative error 1.6444297590289841e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6120003101736553 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6120062035469853 Order of pole (three term test) 2.000026938612193 Radius of convergence (six term test) for eq 1 1.6120002531078896 Order of pole (six term test) 1.000000000003432 TOP MAIN SOLVE Loop x[1] -1.6129999999999876 y[1] (closed_form) 0.3843537284233485 y[1] (numeric) 0.3843537284233421 absolute error 6.38378239159465e-15 relative error 1.6609133512978958e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.613000309981359 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.613006199700938 Order of pole (three term test) 2.000026905220196 Radius of convergence (six term test) for eq 1 1.6130000466428382 Order of pole (six term test) 1.000000000017213 TOP MAIN SOLVE Loop x[1] -1.6139999999999874 y[1] (closed_form) 0.3838776013945565 y[1] (numeric) 0.38387760139455007 absolute error 6.439293542825908e-15 relative error 1.67743403611806e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.614000309789301 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6140061958596337 Order of pole (three term test) 2.000026871890092 Radius of convergence (six term test) for eq 1 1.6140001111523037 Order of pole (six term test) 1.0000000000124531 TOP MAIN SOLVE Loop x[1] -1.6149999999999873 y[1] (closed_form) 0.3834023585379548 y[1] (numeric) 0.3834023585379483 absolute error 6.494804694057166e-15 relative error 1.693991846796168e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.615000309597481 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6150061920231038 Order of pole (three term test) 2.0000268386219915 Radius of convergence (six term test) for eq 1 1.6150003557858499 Order of pole (six term test) 0.9999999999977174 TOP MAIN SOLVE Loop x[1] -1.6159999999999872 y[1] (closed_form) 0.382927997665677 y[1] (numeric) 0.3829279976656704 absolute error 6.5503158452884236e-15 relative error 1.7105868166389101e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6160003094058983 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6160061881913086 Order of pole (three term test) 2.000026805415553 Radius of convergence (six term test) for eq 1 1.6160002467602368 Order of pole (six term test) 1.000000000004432 TOP MAIN SOLVE Loop x[1] -1.6169999999999871 y[1] (closed_form) 0.3824545165966198 y[1] (numeric) 0.3824545165966132 absolute error 6.5503158452884236e-15 relative error 1.7127045337516918e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6170003092145526 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6170061843642631 Order of pole (three term test) 2.000026772270817 Radius of convergence (six term test) for eq 1 1.6170002083489707 Order of pole (six term test) 1.0000000000067084 TOP MAIN SOLVE Loop x[1] -1.617999999999987 y[1] (closed_form) 0.3819819131564182 y[1] (numeric) 0.3819819131564115 absolute error 6.716849298982197e-15 relative error 1.7584207701037684e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6180003090234432 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6180061805419408 Order of pole (three term test) 2.000026739187408 Radius of convergence (six term test) for eq 1 1.6180001367862442 Order of pole (six term test) 1.0000000000104627 TOP MAIN SOLVE Loop x[1] -1.618999999999987 y[1] (closed_form) 0.3815101851774198 y[1] (numeric) 0.38151018517741314 absolute error 6.661338147750939e-15 relative error 1.7460446422034866e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6190003088325702 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6190061767243544 Order of pole (three term test) 2.0000267061653973 Radius of convergence (six term test) for eq 1 1.6190000651738923 Order of pole (six term test) 1.0000000000151497 TOP MAIN SOLVE Loop x[1] -1.6199999999999868 y[1] (closed_form) 0.38103933049866096 y[1] (numeric) 0.3810393304986542 absolute error 6.772360450213455e-15 relative error 1.7773389537900351e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6200003086419328 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6200061729114708 Order of pole (three term test) 2.00002667320446 Radius of convergence (six term test) for eq 1 1.6200003645583136 Order of pole (six term test) 0.9999999999961036 TOP MAIN SOLVE Loop x[1] -1.6209999999999867 y[1] (closed_form) 0.38056934696584105 y[1] (numeric) 0.3805693469658342 absolute error 6.827871601444713e-15 relative error 1.7941202190563092e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6210003084515303 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6210061691033102 Order of pole (three term test) 2.000026640304612 Radius of convergence (six term test) for eq 1 1.6210001746697023 Order of pole (six term test) 1.0000000000085612 TOP MAIN SOLVE Loop x[1] -1.6219999999999866 y[1] (closed_form) 0.3801002324312984 y[1] (numeric) 0.3801002324312916 absolute error 6.827871601444713e-15 relative error 1.7963344978166576e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.622000308261363 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6220061652998161 Order of pole (three term test) 2.0000266074653354 Radius of convergence (six term test) for eq 1 1.6220003655217083 Order of pole (six term test) 0.9999999999968185 TOP MAIN SOLVE Loop x[1] -1.6229999999999865 y[1] (closed_form) 0.3796319847539858 y[1] (numeric) 0.37963198475397897 absolute error 6.827871601444713e-15 relative error 1.7985501421513262e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.62300030807143 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.623006161501026 Order of pole (three term test) 2.0000265746869434 Radius of convergence (six term test) for eq 1 1.6230003631896939 Order of pole (six term test) 0.9999999999958478 TOP MAIN SOLVE Loop x[1] -1.6239999999999863 y[1] (closed_form) 0.3791646017994457 y[1] (numeric) 0.37916460179943884 absolute error 6.8833827526759706e-15 relative error 1.8154075354103988e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6240003078817307 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.624006157706904 Order of pole (three term test) 2.000026541969016 Radius of convergence (six term test) for eq 1 1.6240000145028277 Order of pole (six term test) 1.0000000000183995 TOP MAIN SOLVE Loop x[1] -1.6249999999999862 y[1] (closed_form) 0.3786980814397862 y[1] (numeric) 0.3786980814397793 absolute error 6.938893903907228e-15 relative error 1.832302365389862e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6250003076922648 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6250061539174643 Order of pole (three term test) 2.0000265093115153 Radius of convergence (six term test) for eq 1 1.6250001297179244 Order of pole (six term test) 1.000000000011016 TOP MAIN SOLVE Loop x[1] -1.6259999999999861 y[1] (closed_form) 0.3782324215536566 y[1] (numeric) 0.37823242155364967 absolute error 6.938893903907228e-15 relative error 1.834558199798022e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.626000307503032 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.626006150132676 Order of pole (three term test) 2.0000264767142073 Radius of convergence (six term test) for eq 1 1.6260000148953346 Order of pole (six term test) 1.0000000000181828 TOP MAIN SOLVE Loop x[1] -1.626999999999986 y[1] (closed_form) 0.37776762002622355 y[1] (numeric) 0.37776762002621656 absolute error 6.994405055138486e-15 relative error 1.8515099453608424e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.627000307314032 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6270061463525471 Order of pole (three term test) 2.0000264441770494 Radius of convergence (six term test) for eq 1 1.6270001920454307 Order of pole (six term test) 1.0000000000068034 TOP MAIN SOLVE Loop x[1] -1.627999999999986 y[1] (closed_form) 0.3773036747491467 y[1] (numeric) 0.3773036747491397 absolute error 7.049916206369744e-15 relative error 1.8684992164618954e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.628000307125264 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6280061425770473 Order of pole (three term test) 2.0000264116996975 Radius of convergence (six term test) for eq 1 1.628000071888934 Order of pole (six term test) 1.0000000000144178 TOP MAIN SOLVE Loop x[1] -1.6289999999999858 y[1] (closed_form) 0.3768405836205552 y[1] (numeric) 0.3768405836205481 absolute error 7.105427357601002e-15 relative error 1.885526046407871e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.629000306936728 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6290061388061992 Order of pole (three term test) 2.0000263792822555 Radius of convergence (six term test) for eq 1 1.6290001866645976 Order of pole (six term test) 1.0000000000074047 TOP MAIN SOLVE Loop x[1] -1.6299999999999857 y[1] (closed_form) 0.37637834454502356 y[1] (numeric) 0.37637834454501634 absolute error 7.216449660063518e-15 relative error 1.9173392318272082e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.630000306748423 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6300061350399713 Order of pole (three term test) 2.000026346924399 Radius of convergence (six term test) for eq 1 1.6300003759702946 Order of pole (six term test) 0.9999999999955183 TOP MAIN SOLVE Loop x[1] -1.6309999999999856 y[1] (closed_form) 0.3759169554335479 y[1] (numeric) 0.3759169554335407 absolute error 7.216449660063518e-15 relative error 1.9196925160613547e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6310003065603491 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6310061312783752 Order of pole (three term test) 2.0000263146261665 Radius of convergence (six term test) for eq 1 1.630999925238326 Order of pole (six term test) 1.0000000000244578 TOP MAIN SOLVE Loop x[1] -1.6319999999999855 y[1] (closed_form) 0.3754564142035228 y[1] (numeric) 0.37545641420351555 absolute error 7.271960811294775e-15 relative error 1.9368322223822444e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6320003063725057 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.632006127521362 Order of pole (three term test) 2.000026282387136 Radius of convergence (six term test) for eq 1 1.6320001813147917 Order of pole (six term test) 1.0000000000077875 TOP MAIN SOLVE Loop x[1] -1.6329999999999854 y[1] (closed_form) 0.3749967187787174 y[1] (numeric) 0.3749967187787101 absolute error 7.271960811294775e-15 relative error 1.939206517587132e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6330003061848926 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.633006123768975 Order of pole (three term test) 2.000026250207418 Radius of convergence (six term test) for eq 1 1.6330000534879232 Order of pole (six term test) 1.0000000000152856 TOP MAIN SOLVE Loop x[1] -1.6339999999999852 y[1] (closed_form) 0.374537867089252 y[1] (numeric) 0.37453786708924464 absolute error 7.382983113757291e-15 relative error 1.971224744545772e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6340003059975086 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6340061200211795 Order of pole (three term test) 2.000026218086786 Radius of convergence (six term test) for eq 1 1.6339999538109509 Order of pole (six term test) 1.0000000000220846 TOP MAIN SOLVE Loop x[1] -1.6349999999999851 y[1] (closed_form) 0.374079857071575 y[1] (numeric) 0.3740798570715676 absolute error 7.382983113757291e-15 relative error 1.973638241725659e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6350003058103542 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6350061162779566 Order of pole (three term test) 2.0000261860250332 Radius of convergence (six term test) for eq 1 1.6350002078285493 Order of pole (six term test) 1.0000000000069011 TOP MAIN SOLVE Loop x[1] -1.635999999999985 y[1] (closed_form) 0.3736226866684395 y[1] (numeric) 0.373622686668432 absolute error 7.494005416219807e-15 relative error 2.0057683014495695e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6360003056234285 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6360061125393137 Order of pole (three term test) 2.0000261540219717 Radius of convergence (six term test) for eq 1 1.6360001505099464 Order of pole (six term test) 1.0000000000094733 TOP MAIN SOLVE Loop x[1] -1.636999999999985 y[1] (closed_form) 0.37316635382888025 y[1] (numeric) 0.3731663538288727 absolute error 7.549516567451064e-15 relative error 2.0230968011957965e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.637000305436731 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6370061088052248 Order of pole (three term test) 2.0000261220775366 Radius of convergence (six term test) for eq 1 1.6370000778830884 Order of pole (six term test) 1.0000000000139142 TOP MAIN SOLVE Loop x[1] -1.6379999999999848 y[1] (closed_form) 0.37271085650819075 y[1] (numeric) 0.3727108565081831 absolute error 7.66053886991358e-15 relative error 2.05535705122269e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6380003052502616 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.638006105075713 Order of pole (three term test) 2.0000260901916427 Radius of convergence (six term test) for eq 1 1.6380001159090876 Order of pole (six term test) 1.0000000000119051 TOP MAIN SOLVE Loop x[1] -1.6389999999999847 y[1] (closed_form) 0.37225619266790005 y[1] (numeric) 0.3722561926678924 absolute error 7.66053886991358e-15 relative error 2.0578674098103606e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6390003050640198 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.639006101350755 Order of pole (three term test) 2.0000260583642047 Radius of convergence (six term test) for eq 1 1.639000232310624 Order of pole (six term test) 1.0000000000044187 TOP MAIN SOLVE Loop x[1] -1.6399999999999846 y[1] (closed_form) 0.3718023602757505 y[1] (numeric) 0.37180236027574276 absolute error 7.716050021144838e-15 relative error 2.075309585292079e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.640000304878005 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6400060976303437 Order of pole (three term test) 2.0000260265949485 Radius of convergence (six term test) for eq 1 1.6400000093710794 Order of pole (six term test) 1.0000000000196998 TOP MAIN SOLVE Loop x[1] -1.6409999999999845 y[1] (closed_form) 0.3713493573056743 y[1] (numeric) 0.37134935730566654 absolute error 7.771561172376096e-15 relative error 2.0927897192990093e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.641000304692217 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6410060939144535 Order of pole (three term test) 2.0000259948836288 Radius of convergence (six term test) for eq 1 1.64100037239038 Order of pole (six term test) 0.9999999999963824 TOP MAIN SOLVE Loop x[1] -1.6419999999999844 y[1] (closed_form) 0.37089718173777164 y[1] (numeric) 0.37089718173776376 absolute error 7.882583474838611e-15 relative error 2.125274567443784e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6420003045066554 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6420060902030962 Order of pole (three term test) 2.000025963230355 Radius of convergence (six term test) for eq 1 1.6420001779113225 Order of pole (six term test) 1.0000000000085496 TOP MAIN SOLVE Loop x[1] -1.6429999999999843 y[1] (closed_form) 0.37044583155828753 y[1] (numeric) 0.3704458315582796 absolute error 7.93809462606987e-15 relative error 2.1428489538343894e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6430003043213195 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6430060864962488 Order of pole (three term test) 2.0000259316347595 Radius of convergence (six term test) for eq 1 1.6430001439583943 Order of pole (six term test) 1.000000000009618 TOP MAIN SOLVE Loop x[1] -1.6439999999999841 y[1] (closed_form) 0.3699953047595897 y[1] (numeric) 0.3699953047595818 absolute error 7.882583474838611e-15 relative error 2.1304550013034478e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.644000304136209 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6440060827939136 Order of pole (three term test) 2.0000259000968352 Radius of convergence (six term test) for eq 1 1.6440001656361807 Order of pole (six term test) 1.0000000000079297 TOP MAIN SOLVE Loop x[1] -1.644999999999984 y[1] (closed_form) 0.3695455993401465 y[1] (numeric) 0.3695455993401386 absolute error 7.93809462606987e-15 relative error 2.148069044860493e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6450003039513237 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6450060790960892 Order of pole (three term test) 2.000025868616496 Radius of convergence (six term test) for eq 1 1.6450004397238995 Order of pole (six term test) 0.9999999999913536 TOP MAIN SOLVE Loop x[1] -1.645999999999984 y[1] (closed_form) 0.3690967133045042 y[1] (numeric) 0.3690967133044962 absolute error 7.993605777301127e-15 relative error 2.1657212023739737e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.646000303766663 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.646006075402754 Order of pole (three term test) 2.000025837193396 Radius of convergence (six term test) for eq 1 1.6460003440934545 Order of pole (six term test) 0.9999999999976206 TOP MAIN SOLVE Loop x[1] -1.6469999999999838 y[1] (closed_form) 0.36864864466326513 y[1] (numeric) 0.3686486446632571 absolute error 8.049116928532385e-15 relative error 2.1834115071505805e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6470003035822267 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6470060717138995 Order of pole (three term test) 2.0000258058275775 Radius of convergence (six term test) for eq 1 1.6470002557745549 Order of pole (six term test) 1.0000000000024043 TOP MAIN SOLVE Loop x[1] -1.6479999999999837 y[1] (closed_form) 0.36820139143306546 y[1] (numeric) 0.3682013914330574 absolute error 8.049116928532385e-15 relative error 2.1860636911785317e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6480003033980142 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.648006068029523 Order of pole (three term test) 2.0000257745188157 Radius of convergence (six term test) for eq 1 1.648000141755858 Order of pole (six term test) 1.0000000000098792 TOP MAIN SOLVE Loop x[1] -1.6489999999999836 y[1] (closed_form) 0.36775495163655364 y[1] (numeric) 0.3677549516365455 absolute error 8.1601392309949e-15 relative error 2.2189066917199354e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6490003032140248 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.649006064349608 Order of pole (three term test) 2.0000257432669235 Radius of convergence (six term test) for eq 1 1.6490000698589182 Order of pole (six term test) 1.0000000000144684 TOP MAIN SOLVE Loop x[1] -1.6499999999999835 y[1] (closed_form) 0.36730932330236793 y[1] (numeric) 0.36730932330235977 absolute error 8.1601392309949e-15 relative error 2.2215987216522403e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6500003030302588 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6500060606741638 Order of pole (three term test) 2.0000257120719547 Radius of convergence (six term test) for eq 1 1.6500001847949093 Order of pole (six term test) 1.0000000000073168 TOP MAIN SOLVE Loop x[1] -1.6509999999999834 y[1] (closed_form) 0.36686450446511526 y[1] (numeric) 0.36686450446510704 absolute error 8.215650382226158e-15 relative error 2.2394236243172378e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.651000302846715 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6510060570031775 Order of pole (three term test) 2.000025680933653 Radius of convergence (six term test) for eq 1 1.6510001197547686 Order of pole (six term test) 1.0000000000109308 TOP MAIN SOLVE Loop x[1] -1.6519999999999833 y[1] (closed_form) 0.36642049316534914 y[1] (numeric) 0.3664204931653409 absolute error 8.215650382226158e-15 relative error 2.242137253638487e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6520003026633938 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6520060533366243 Order of pole (three term test) 2.0000256498517883 Radius of convergence (six term test) for eq 1 1.6520004374666866 Order of pole (six term test) 0.9999999999918279 TOP MAIN SOLVE Loop x[1] -1.6529999999999831 y[1] (closed_form) 0.3659772874495483 y[1] (numeric) 0.36597728744954006 absolute error 8.271161533457416e-15 relative error 2.260020448563392e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6530003024802942 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.653006049674513 Order of pole (three term test) 2.000025618826435 Radius of convergence (six term test) for eq 1 1.6530002568156965 Order of pole (six term test) 1.0000000000027303 TOP MAIN SOLVE Loop x[1] -1.653999999999983 y[1] (closed_form) 0.3655348853700951 y[1] (numeric) 0.36553488537008677 absolute error 8.326672684688674e-15 relative error 2.277942001693798e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6540003022974161 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6540060460168302 Order of pole (three term test) 2.0000255878573094 Radius of convergence (six term test) for eq 1 1.6540002324993743 Order of pole (six term test) 1.0000000000039488 TOP MAIN SOLVE Loop x[1] -1.654999999999983 y[1] (closed_form) 0.3650932849852541 y[1] (numeric) 0.36509328498524574 absolute error 8.382183835919932e-15 relative error 2.2959019463363955e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.655000302114759 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6550060423635655 Order of pole (three term test) 2.0000255569442875 Radius of convergence (six term test) for eq 1 1.6550001298026362 Order of pole (six term test) 1.0000000000099716 TOP MAIN SOLVE Loop x[1] -1.6559999999999828 y[1] (closed_form) 0.3646524843591509 y[1] (numeric) 0.36465248435914244 absolute error 8.43769498715119e-15 relative error 2.3139003157978752e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6560003019323224 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.656006038714716 Order of pole (three term test) 2.000025526087232 Radius of convergence (six term test) for eq 1 1.6560002495682027 Order of pole (six term test) 1.00000000000375 TOP MAIN SOLVE Loop x[1] -1.6569999999999827 y[1] (closed_form) 0.36421248156175073 y[1] (numeric) 0.36421248156174224 absolute error 8.493206138382448e-15 relative error 2.331937143384928e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.657000301750106 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6570060350702625 Order of pole (three term test) 2.0000254952860637 Radius of convergence (six term test) for eq 1 1.6570003387919792 Order of pole (six term test) 0.9999999999986677 TOP MAIN SOLVE Loop x[1] -1.6579999999999826 y[1] (closed_form) 0.3637732746688375 y[1] (numeric) 0.363773274668829 absolute error 8.493206138382448e-15 relative error 2.3347526412198016e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6580003015681095 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6580060314302176 Order of pole (three term test) 2.00002546454058 Radius of convergence (six term test) for eq 1 1.6580002285172675 Order of pole (six term test) 1.0000000000047207 TOP MAIN SOLVE Loop x[1] -1.6589999999999825 y[1] (closed_form) 0.3633348617619928 y[1] (numeric) 0.36333486176198426 absolute error 8.548717289613705e-15 relative error 2.3528480719292092e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6590003013863324 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.659006027794548 Order of pole (three term test) 2.0000254338506083 Radius of convergence (six term test) for eq 1 1.6590004265871559 Order of pole (six term test) 0.9999999999935856 TOP MAIN SOLVE Loop x[1] -1.6599999999999824 y[1] (closed_form) 0.3628972409285746 y[1] (numeric) 0.36289724092856607 absolute error 8.548717289613705e-15 relative error 2.3556853911976316e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6600003012047744 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6600060241632726 Order of pole (three term test) 2.0000254032162177 Radius of convergence (six term test) for eq 1 1.6600003624272792 Order of pole (six term test) 0.999999999996831 TOP MAIN SOLVE Loop x[1] -1.6609999999999823 y[1] (closed_form) 0.3624604102616969 y[1] (numeric) 0.3624604102616883 absolute error 8.604228440844963e-15 relative error 2.373839513847236e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6610003010234349 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6610060205363668 Order of pole (three term test) 2.0000253726371744 Radius of convergence (six term test) for eq 1 1.6610002098745187 Order of pole (six term test) 1.000000000005861 TOP MAIN SOLVE Loop x[1] -1.6619999999999822 y[1] (closed_form) 0.3620243678602084 y[1] (numeric) 0.36202436786019976 absolute error 8.659739592076221e-15 relative error 2.392032238951407e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6620003008423136 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.662006016913822 Order of pole (three term test) 2.0000253421131737 Radius of convergence (six term test) for eq 1 1.6620002886030452 Order of pole (six term test) 1.0000000000010436 TOP MAIN SOLVE Loop x[1] -1.662999999999982 y[1] (closed_form) 0.3615891118286724 y[1] (numeric) 0.3615891118286637 absolute error 8.715250743307479e-15 relative error 2.4102635998168344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.66300030066141 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6630060132956286 Order of pole (three term test) 2.0000253116442335 Radius of convergence (six term test) for eq 1 1.6630002298495103 Order of pole (six term test) 1.0000000000043752 TOP MAIN SOLVE Loop x[1] -1.663999999999982 y[1] (closed_form) 0.3611546402773457 y[1] (numeric) 0.36115464027733696 absolute error 8.715250743307479e-15 relative error 2.4131631637391327e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.664000300480724 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.664006009681792 Order of pole (three term test) 2.000025281230257 Radius of convergence (six term test) for eq 1 1.664000256249682 Order of pole (six term test) 1.0000000000025828 TOP MAIN SOLVE Loop x[1] -1.6649999999999818 y[1] (closed_form) 0.36072095132215837 y[1] (numeric) 0.3607209513221496 absolute error 8.770761894538737e-15 relative error 2.4314534163849015e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6650003003002551 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6650060060722813 Order of pole (three term test) 2.0000252508710292 Radius of convergence (six term test) for eq 1 1.6650003961232407 Order of pole (six term test) 0.9999999999937179 TOP MAIN SOLVE Loop x[1] -1.6659999999999817 y[1] (closed_form) 0.36028804308469325 y[1] (numeric) 0.36028804308468443 absolute error 8.826273045769994e-15 relative error 2.449782393609769e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6660003001200028 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.666006002467119 Order of pole (three term test) 2.000025220566464 Radius of convergence (six term test) for eq 1 1.666000165060798 Order of pole (six term test) 1.0000000000083276 TOP MAIN SOLVE Loop x[1] -1.6669999999999816 y[1] (closed_form) 0.3598559136921656 y[1] (numeric) 0.35985591369215675 absolute error 8.826273045769994e-15 relative error 2.452724190415924e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6670002999399667 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6670059988662798 Order of pole (three term test) 2.0000251903164497 Radius of convergence (six term test) for eq 1 1.667000065214438 Order of pole (six term test) 1.0000000000149507 TOP MAIN SOLVE Loop x[1] -1.6679999999999815 y[1] (closed_form) 0.35942456127740285 y[1] (numeric) 0.359424561277394 absolute error 8.881784197001252e-15 relative error 2.4711122037501263e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6680002997601464 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6680059952697608 Order of pole (three term test) 2.000025160120838 Radius of convergence (six term test) for eq 1 1.6680001004432763 Order of pole (six term test) 1.0000000000113127 TOP MAIN SOLVE Loop x[1] -1.6689999999999814 y[1] (closed_form) 0.3589939839788245 y[1] (numeric) 0.35899398397881555 absolute error 8.93729534823251e-15 relative error 2.4895390304812693e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6690002995805417 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6690059916775426 Order of pole (three term test) 2.0000251299793406 Radius of convergence (six term test) for eq 1 1.6690001942197903 Order of pole (six term test) 1.0000000000052838 TOP MAIN SOLVE Loop x[1] -1.6699999999999813 y[1] (closed_form) 0.35856417994042183 y[1] (numeric) 0.35856417994041284 absolute error 8.992806499463768e-15 relative error 2.508004703916044e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.670000299401152 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6700059880896316 Order of pole (three term test) 2.0000250998921936 Radius of convergence (six term test) for eq 1 1.6700002162326317 Order of pole (six term test) 1.0000000000044622 TOP MAIN SOLVE Loop x[1] -1.6709999999999812 y[1] (closed_form) 0.3581351473117382 y[1] (numeric) 0.3581351473117292 absolute error 8.992806499463768e-15 relative error 2.5110092005675147e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6710002992219772 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6710059845060288 Order of pole (three term test) 2.0000250698589737 Radius of convergence (six term test) for eq 1 1.6710001195835675 Order of pole (six term test) 1.0000000000104903 TOP MAIN SOLVE Loop x[1] -1.671999999999981 y[1] (closed_form) 0.35770688424784886 y[1] (numeric) 0.3577068842478398 absolute error 9.048317650695026e-15 relative error 2.5295341099517683e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6720002990430165 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6720059809267023 Order of pole (three term test) 2.0000250398796755 Radius of convergence (six term test) for eq 1 1.6720001165308471 Order of pole (six term test) 1.000000000010882 TOP MAIN SOLVE Loop x[1] -1.672999999999981 y[1] (closed_form) 0.3572793889093413 y[1] (numeric) 0.3572793889093322 absolute error 9.103828801926284e-15 relative error 2.5480979548574954e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6730002988642698 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6730059773516395 Order of pole (three term test) 2.000025009953964 Radius of convergence (six term test) for eq 1 1.673000189096144 Order of pole (six term test) 1.0000000000068168 TOP MAIN SOLVE Loop x[1] -1.6739999999999808 y[1] (closed_form) 0.3568526594622954 y[1] (numeric) 0.3568526594622862 absolute error 9.159339953157541e-15 relative error 2.566700768591387e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6740002986857367 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6740059737808701 Order of pole (three term test) 2.00002498008209 Radius of convergence (six term test) for eq 1 1.6740003359484006 Order of pole (six term test) 0.9999999999979838 TOP MAIN SOLVE Loop x[1] -1.6749999999999807 y[1] (closed_form) 0.3564266940782638 y[1] (numeric) 0.35642669407825456 absolute error 9.2148511043888e-15 relative error 2.5853425844601337e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6750002985074168 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.675005970214362 Order of pole (three term test) 2.000024950263482 Radius of convergence (six term test) for eq 1 1.675000323250076 Order of pole (six term test) 0.9999999999991198 TOP MAIN SOLVE Loop x[1] -1.6759999999999806 y[1] (closed_form) 0.35600149093425226 y[1] (numeric) 0.35600149093424294 absolute error 9.325873406851315e-15 relative error 2.619616390475638e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6760002983293096 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.676005966652102 Order of pole (three term test) 2.0000249204983134 Radius of convergence (six term test) for eq 1 1.676000250148215 Order of pole (six term test) 1.0000000000023581 TOP MAIN SOLVE Loop x[1] -1.6769999999999805 y[1] (closed_form) 0.3555770482127002 y[1] (numeric) 0.35557704821269087 absolute error 9.325873406851315e-15 relative error 2.6227433558289553e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.677000298151415 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.67700596309409 Order of pole (three term test) 2.0000248907864155 Radius of convergence (six term test) for eq 1 1.677000250429943 Order of pole (six term test) 1.0000000000030527 TOP MAIN SOLVE Loop x[1] -1.6779999999999804 y[1] (closed_form) 0.35515336410146137 y[1] (numeric) 0.355153364101452 absolute error 9.381384558082573e-15 relative error 2.6415023779424117e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6780002979737323 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6780059595403034 Order of pole (three term test) 2.0000248611274536 Radius of convergence (six term test) for eq 1 1.6780003998161284 Order of pole (six term test) 0.999999999994623 TOP MAIN SOLVE Loop x[1] -1.6789999999999803 y[1] (closed_form) 0.35473043679378435 y[1] (numeric) 0.3547304367937749 absolute error 9.43689570931383e-15 relative error 2.6603005354174858e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6790002977962613 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6790059559907768 Order of pole (three term test) 2.000024831521675 Radius of convergence (six term test) for eq 1 1.6790001624517303 Order of pole (six term test) 1.0000000000072324 TOP MAIN SOLVE Loop x[1] -1.6799999999999802 y[1] (closed_form) 0.35430826448829333 y[1] (numeric) 0.35430826448828384 absolute error 9.492406860545088e-15 relative error 2.6791378615608687e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6800002976190014 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.680005952445475 Order of pole (three term test) 2.0000248019687525 Radius of convergence (six term test) for eq 1 1.6799999194296147 Order of pole (six term test) 1.0000000000217915 TOP MAIN SOLVE Loop x[1] -1.68099999999998 y[1] (closed_form) 0.353886845388969 y[1] (numeric) 0.3538868453889594 absolute error 9.547918011776346e-15 relative error 2.698014389679251e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6810002974419527 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6810059489043865 Order of pole (three term test) 2.0000247724684894 Radius of convergence (six term test) for eq 1 1.681000357689078 Order of pole (six term test) 0.9999999999961853 TOP MAIN SOLVE Loop x[1] -1.68199999999998 y[1] (closed_form) 0.3534661777051292 y[1] (numeric) 0.3534661777051197 absolute error 9.547918011776346e-15 relative error 2.7012253545066116e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6820002972651142 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6820059453674978 Order of pole (three term test) 2.0000247430207496 Radius of convergence (six term test) for eq 1 1.6820002237817313 Order of pole (six term test) 1.0000000000044125 TOP MAIN SOLVE Loop x[1] -1.6829999999999798 y[1] (closed_form) 0.35304625965141057 y[1] (numeric) 0.35304625965140096 absolute error 9.603429163007604e-15 relative error 2.7201617069926757e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.683000297088486 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6830059418348227 Order of pole (three term test) 2.000024713625591 Radius of convergence (six term test) for eq 1 1.6830001093841933 Order of pole (six term test) 1.000000000011184 TOP MAIN SOLVE Loop x[1] -1.6839999999999797 y[1] (closed_form) 0.3526270894477486 y[1] (numeric) 0.35262708944773896 absolute error 9.658940314238862e-15 relative error 2.739137350271582e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6840002969120675 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6840059383063448 Order of pole (three term test) 2.0000246842828098 Radius of convergence (six term test) for eq 1 1.684000120050342 Order of pole (six term test) 1.000000000009809 TOP MAIN SOLVE Loop x[1] -1.6849999999999796 y[1] (closed_form) 0.3522086653193596 y[1] (numeric) 0.3522086653193499 absolute error 9.71445146547012e-15 relative error 2.75815231765002e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6850002967358586 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.685005934782047 Order of pole (three term test) 2.000024654992149 Radius of convergence (six term test) for eq 1 1.6850002394091443 Order of pole (six term test) 1.000000000002812 TOP MAIN SOLVE Loop x[1] -1.6859999999999795 y[1] (closed_form) 0.35179098549672155 y[1] (numeric) 0.35179098549671184 absolute error 9.71445146547012e-15 relative error 2.7614270592390297e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6860002965598586 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6860059312619438 Order of pole (three term test) 2.0000246257537464 Radius of convergence (six term test) for eq 1 1.6860004069044328 Order of pole (six term test) 0.9999999999944693 TOP MAIN SOLVE Loop x[1] -1.6869999999999794 y[1] (closed_form) 0.35137404821555546 y[1] (numeric) 0.3513740482155457 absolute error 9.769962616701378e-15 relative error 2.780502050825294e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6870002963840671 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6870059277459928 Order of pole (three term test) 2.0000245965671386 Radius of convergence (six term test) for eq 1 1.6869999170270824 Order of pole (six term test) 1.0000000000217195 TOP MAIN SOLVE Loop x[1] -1.6879999999999793 y[1] (closed_form) 0.35095785171680666 y[1] (numeric) 0.35095785171679683 absolute error 9.825473767932635e-15 relative error 2.799616455328933e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6880002962084841 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6880059242342236 Order of pole (three term test) 2.000024567432497 Radius of convergence (six term test) for eq 1 1.6880003374370522 Order of pole (six term test) 0.9999999999978204 TOP MAIN SOLVE Loop x[1] -1.6889999999999792 y[1] (closed_form) 0.3505423942466264 y[1] (numeric) 0.35054239424661654 absolute error 9.880984919163893e-15 relative error 2.8187703060566365e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.689000296033109 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6890059207266064 Order of pole (three term test) 2.0000245383495447 Radius of convergence (six term test) for eq 1 1.6890003556362259 Order of pole (six term test) 0.9999999999957199 TOP MAIN SOLVE Loop x[1] -1.689999999999979 y[1] (closed_form) 0.35012767405635326 y[1] (numeric) 0.3501276740563434 absolute error 9.880984919163893e-15 relative error 2.822109090860822e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6900002958579414 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6900059172231492 Order of pole (three term test) 2.000024509318282 Radius of convergence (six term test) for eq 1 1.690000048708744 Order of pole (six term test) 1.0000000000137286 TOP MAIN SOLVE Loop x[1] -1.690999999999979 y[1] (closed_form) 0.34971368940249487 y[1] (numeric) 0.3497136894024849 absolute error 9.992007221626409e-15 relative error 2.8571964794110016e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6910002956829808 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6910059137238158 Order of pole (three term test) 2.0000244803383556 Radius of convergence (six term test) for eq 1 1.691000189191674 Order of pole (six term test) 1.0000000000057385 TOP MAIN SOLVE Loop x[1] -1.6919999999999789 y[1] (closed_form) 0.3493004385467093 y[1] (numeric) 0.3493004385466993 absolute error 9.992007221626409e-15 relative error 2.860576775454078e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6920002955082274 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6920059102286422 Order of pole (three term test) 2.0000244514099617 Radius of convergence (six term test) for eq 1 1.6920001773727213 Order of pole (six term test) 1.0000000000072262 TOP MAIN SOLVE Loop x[1] -1.6929999999999787 y[1] (closed_form) 0.3488879197557872 y[1] (numeric) 0.34888791975577715 absolute error 1.0047518372857667e-14 relative error 2.8798699536202564e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.69300029533368 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.69300590673758 Order of pole (three term test) 2.0000244225326917 Radius of convergence (six term test) for eq 1 1.693000123246947 Order of pole (six term test) 1.000000000009197 TOP MAIN SOLVE Loop x[1] -1.6939999999999786 y[1] (closed_form) 0.34847613130163335 y[1] (numeric) 0.34847613130162325 absolute error 1.0103029524088925e-14 relative error 2.899202733441724e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.694000295159339 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6940059032506565 Order of pole (three term test) 2.000024393706684 Radius of convergence (six term test) for eq 1 1.694000118704928 Order of pole (six term test) 1.0000000000100515 TOP MAIN SOLVE Loop x[1] -1.6949999999999785 y[1] (closed_form) 0.3480650714612486 y[1] (numeric) 0.3480650714612385 absolute error 1.0103029524088925e-14 relative error 2.9026266501474375e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6950002949852037 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.695005899767827 Order of pole (three term test) 2.0000243649315435 Radius of convergence (six term test) for eq 1 1.6950003331274868 Order of pole (six term test) 0.9999999999974554 TOP MAIN SOLVE Loop x[1] -1.6959999999999784 y[1] (closed_form) 0.3476547385167121 y[1] (numeric) 0.3476547385167019 absolute error 1.0158540675320182e-14 relative error 2.922019909368171e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6960002948112736 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6960058962891207 Order of pole (three term test) 2.000024336207368 Radius of convergence (six term test) for eq 1 1.696000287234996 Order of pole (six term test) 0.9999999999997877 TOP MAIN SOLVE Loop x[1] -1.6969999999999783 y[1] (closed_form) 0.34724513075516283 y[1] (numeric) 0.3472451307551526 absolute error 1.021405182655144e-14 relative error 2.9414528590620352e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6970002946375486 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6970058928145169 Order of pole (three term test) 2.000024307533964 Radius of convergence (six term test) for eq 1 1.6970000857723848 Order of pole (six term test) 1.000000000011398 TOP MAIN SOLVE Loop x[1] -1.6979999999999782 y[1] (closed_form) 0.34683624646878236 y[1] (numeric) 0.3468362464687721 absolute error 1.0269562977782698e-14 relative error 2.9609255325357206e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.698000294464028 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.698005889343993 Order of pole (three term test) 2.0000242789111837 Radius of convergence (six term test) for eq 1 1.6980002649558583 Order of pole (six term test) 1.0000000000014513 TOP MAIN SOLVE Loop x[1] -1.698999999999978 y[1] (closed_form) 0.3464280839547765 y[1] (numeric) 0.3464280839547662 absolute error 1.0269562977782698e-14 relative error 2.964414103079273e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.6990002942907119 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6990058858775616 Order of pole (three term test) 2.0000242503389383 Radius of convergence (six term test) for eq 1 1.6990000976442723 Order of pole (six term test) 1.0000000000112879 TOP MAIN SOLVE Loop x[1] -1.699999999999978 y[1] (closed_form) 0.3460206415153579 y[1] (numeric) 0.34602064151534756 absolute error 1.0325074129013956e-14 relative error 2.983947455792369e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7000002941175996 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7000058824152124 Order of pole (three term test) 2.0000242218170774 Radius of convergence (six term test) for eq 1 1.7000004699442304 Order of pole (six term test) 0.9999999999901101 TOP MAIN SOLVE Loop x[1] -1.7009999999999779 y[1] (closed_form) 0.3456139174577283 y[1] (numeric) 0.3456139174577179 absolute error 1.0380585280245214e-14 relative error 3.0035206211031284e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7010002939446909 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7010058789569256 Order of pole (three term test) 2.000024193345489 Radius of convergence (six term test) for eq 1 1.7010000832818557 Order of pole (six term test) 1.000000000011 TOP MAIN SOLVE Loop x[1] -1.7019999999999778 y[1] (closed_form) 0.3452079100940609 y[1] (numeric) 0.3452079100940505 absolute error 1.0380585280245214e-14 relative error 3.007053134273995e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7020002937719854 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7020058755027136 Order of pole (three term test) 2.000024164924163 Radius of convergence (six term test) for eq 1 1.7020003604407095 Order of pole (six term test) 0.9999999999964277 TOP MAIN SOLVE Loop x[1] -1.7029999999999776 y[1] (closed_form) 0.3448026177414829 y[1] (numeric) 0.3448026177414725 absolute error 1.0436096431476471e-14 relative error 3.0266871231531588e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7030002935994826 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7030058720525416 Order of pole (three term test) 2.0000241365528226 Radius of convergence (six term test) for eq 1 1.7030001870491667 Order of pole (six term test) 1.0000000000057385 TOP MAIN SOLVE Loop x[1] -1.7039999999999775 y[1] (closed_form) 0.34439803872205815 y[1] (numeric) 0.34439803872204766 absolute error 1.049160758270773e-14 relative error 3.0463610134478267e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7040002934271825 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7040058686064377 Order of pole (three term test) 2.0000241082314365 Radius of convergence (six term test) for eq 1 1.7040002046403306 Order of pole (six term test) 1.00000000000452 TOP MAIN SOLVE Loop x[1] -1.7049999999999774 y[1] (closed_form) 0.3439941713627695 y[1] (numeric) 0.343994171362759 absolute error 1.049160758270773e-14 relative error 3.0499376024727717e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7050002932550843 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7050058651643671 Order of pole (three term test) 2.0000240799599203 Radius of convergence (six term test) for eq 1 1.7050001265845227 Order of pole (six term test) 1.000000000009309 TOP MAIN SOLVE Loop x[1] -1.7059999999999773 y[1] (closed_form) 0.3435910139955019 y[1] (numeric) 0.34359101399549136 absolute error 1.0547118733938987e-14 relative error 3.0696724606648368e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.706000293083188 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.706005861726325 Order of pole (three term test) 2.000024051738011 Radius of convergence (six term test) for eq 1 1.7060003842580607 Order of pole (six term test) 0.9999999999948948 TOP MAIN SOLVE Loop x[1] -1.7069999999999772 y[1] (closed_form) 0.34318856495702477 y[1] (numeric) 0.3431885649570142 absolute error 1.0547118733938987e-14 relative error 3.07327219228873e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.707000292911493 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7070058582923224 Order of pole (three term test) 2.0000240235656874 Radius of convergence (six term test) for eq 1 1.7070002631679775 Order of pole (six term test) 1.0000000000019904 TOP MAIN SOLVE Loop x[1] -1.707999999999977 y[1] (closed_form) 0.3427868225889752 y[1] (numeric) 0.3427868225889646 absolute error 1.0602629885170245e-14 relative error 3.0930681071960347e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7080002927399989 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.708005854862345 Order of pole (three term test) 2.0000239954429286 Radius of convergence (six term test) for eq 1 1.7080000678672398 Order of pole (six term test) 1.0000000000120952 TOP MAIN SOLVE Loop x[1] -1.708999999999977 y[1] (closed_form) 0.34238578523784063 y[1] (numeric) 0.34238578523783 absolute error 1.0658141036401503e-14 relative error 3.112904067847838e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7090002925687058 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7090058514363624 Order of pole (three term test) 2.0000239673693874 Radius of convergence (six term test) for eq 1 1.7089998577531607 Order of pole (six term test) 1.0000000000231708 TOP MAIN SOLVE Loop x[1] -1.7099999999999769 y[1] (closed_form) 0.3419854512549419 y[1] (numeric) 0.34198545125493124 absolute error 1.0658141036401503e-14 relative error 3.1165480862681833e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7100002923976128 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7100058480144 Order of pole (three term test) 2.0000239393451897 Radius of convergence (six term test) for eq 1 1.7100001776693416 Order of pole (six term test) 1.0000000000057438 TOP MAIN SOLVE Loop x[1] -1.7109999999999768 y[1] (closed_form) 0.34158581899641643 y[1] (numeric) 0.3415858189964057 absolute error 1.071365218763276e-14 relative error 3.1364452479642186e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7110002922267198 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.711005844596428 Order of pole (three term test) 2.000023911369966 Radius of convergence (six term test) for eq 1 1.7110001235946894 Order of pole (six term test) 1.0000000000095497 TOP MAIN SOLVE Loop x[1] -1.7119999999999767 y[1] (closed_form) 0.34118688682320114 y[1] (numeric) 0.3411868868231903 absolute error 1.0824674490095276e-14 relative error 3.1726525573371434e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7120002920560264 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.712005841182458 Order of pole (three term test) 2.0000238834439283 Radius of convergence (six term test) for eq 1 1.7120003024410175 Order of pole (six term test) 0.9999999999994902 TOP MAIN SOLVE Loop x[1] -1.7129999999999765 y[1] (closed_form) 0.34078865310101564 y[1] (numeric) 0.3407886531010048 absolute error 1.0824674490095276e-14 relative error 3.176360008350001e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7130002918855327 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7130058377724793 Order of pole (three term test) 2.0000238555667122 Radius of convergence (six term test) for eq 1 1.71300003716159 Order of pole (six term test) 1.000000000013026 TOP MAIN SOLVE Loop x[1] -1.7139999999999764 y[1] (closed_form) 0.34039111620034584 y[1] (numeric) 0.34039111620033496 absolute error 1.0880185641326534e-14 relative error 3.196377673653129e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7140002917152375 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7140058343664735 Order of pole (three term test) 2.0000238277383118 Radius of convergence (six term test) for eq 1 1.7140002561385645 Order of pole (six term test) 1.0000000000019176 TOP MAIN SOLVE Loop x[1] -1.7149999999999763 y[1] (closed_form) 0.33999427449642683 y[1] (numeric) 0.3399942744964159 absolute error 1.0935696792557792e-14 relative error 3.2164355734386698e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7150002915451412 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7150058309644418 Order of pole (three term test) 2.00002379995858 Radius of convergence (six term test) for eq 1 1.7149999744816224 Order of pole (six term test) 1.0000000000168718 TOP MAIN SOLVE Loop x[1] -1.7159999999999762 y[1] (closed_form) 0.3395981263692266 y[1] (numeric) 0.3395981263692156 absolute error 1.099120794378905e-14 relative error 3.2365337410133134e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.716000291375243 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.716005827566361 Order of pole (three term test) 2.0000237722272782 Radius of convergence (six term test) for eq 1 1.7160002128531793 Order of pole (six term test) 1.0000000000051879 TOP MAIN SOLVE Loop x[1] -1.716999999999976 y[1] (closed_form) 0.33920267020342926 y[1] (numeric) 0.3392026702034182 absolute error 1.1046719095020308e-14 relative error 3.2566722096837515e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7170002912055427 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7170058241722497 Order of pole (three term test) 2.0000237445445745 Radius of convergence (six term test) for eq 1 1.7169998947787182 Order of pole (six term test) 1.000000000022128 TOP MAIN SOLVE Loop x[1] -1.717999999999976 y[1] (closed_form) 0.33880790438841885 y[1] (numeric) 0.33880790438840774 absolute error 1.1102230246251565e-14 relative error 3.2768510127566735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.71800029103604 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7180058207821012 Order of pole (three term test) 2.0000237169101305 Radius of convergence (six term test) for eq 1 1.7179998559529592 Order of pole (six term test) 1.0000000000235811 TOP MAIN SOLVE Loop x[1] -1.7189999999999759 y[1] (closed_form) 0.33841382731826264 y[1] (numeric) 0.3384138273182515 absolute error 1.1157741397482823e-14 relative error 3.2970701835387713e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7190002908667343 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7190058173958824 Order of pole (three term test) 2.000023689323884 Radius of convergence (six term test) for eq 1 1.7190003368688132 Order of pole (six term test) 0.9999999999976996 TOP MAIN SOLVE Loop x[1] -1.7199999999999758 y[1] (closed_form) 0.33802043739169507 y[1] (numeric) 0.33802043739168386 absolute error 1.1213252548714081e-14 relative error 3.3173297553367353e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7200002906976257 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7200058140135972 Order of pole (three term test) 2.0000236617857174 Radius of convergence (six term test) for eq 1 1.7200004046975816 Order of pole (six term test) 0.9999999999939693 TOP MAIN SOLVE Loop x[1] -1.7209999999999757 y[1] (closed_form) 0.3376277330121013 y[1] (numeric) 0.3376277330120901 absolute error 1.1213252548714081e-14 relative error 3.3211882355387476e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7210002905287136 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7210058106352637 Order of pole (three term test) 2.0000236342956907 Radius of convergence (six term test) for eq 1 1.7209998287725772 Order of pole (six term test) 1.0000000000248246 TOP MAIN SOLVE Loop x[1] -1.7219999999999756 y[1] (closed_form) 0.3372357125875012 y[1] (numeric) 0.33723571258748986 absolute error 1.1324274851176597e-14 relative error 3.357970235207024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7220002903599976 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.722005807260836 Order of pole (three term test) 2.0000236068533948 Radius of convergence (six term test) for eq 1 1.7220002713653435 Order of pole (six term test) 1.0000000000013332 TOP MAIN SOLVE Loop x[1] -1.7229999999999754 y[1] (closed_form) 0.33684437453053273 y[1] (numeric) 0.3368443745305214 absolute error 1.1324274851176597e-14 relative error 3.3618714478932543e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7230002901914774 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.723005803890337 Order of pole (three term test) 2.0000235794589654 Radius of convergence (six term test) for eq 1 1.7230000897275732 Order of pole (six term test) 1.0000000000110312 TOP MAIN SOLVE Loop x[1] -1.7239999999999753 y[1] (closed_form) 0.3364537172584367 y[1] (numeric) 0.3364537172584253 absolute error 1.1379786002407855e-14 relative error 3.38227382212776e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7240002900231528 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7240058005237406 Order of pole (three term test) 2.00002355211212 Radius of convergence (six term test) for eq 1 1.7240003510439055 Order of pole (six term test) 0.9999999999978026 TOP MAIN SOLVE Loop x[1] -1.7249999999999752 y[1] (closed_form) 0.33606373919303995 y[1] (numeric) 0.33606373919302857 absolute error 1.1379786002407855e-14 relative error 3.3861987103199905e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7250002898550234 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7250057971610468 Order of pole (three term test) 2.000023524812808 Radius of convergence (six term test) for eq 1 1.7250003546498842 Order of pole (six term test) 0.9999999999966986 TOP MAIN SOLVE Loop x[1] -1.725999999999975 y[1] (closed_form) 0.33567443876073993 y[1] (numeric) 0.3356744387607285 absolute error 1.1435297153639112e-14 relative error 3.4066630738570764e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7260002896870887 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7260057938022522 Order of pole (three term test) 2.0000234975610396 Radius of convergence (six term test) for eq 1 1.7260001658000845 Order of pole (six term test) 1.0000000000061924 TOP MAIN SOLVE Loop x[1] -1.726999999999975 y[1] (closed_form) 0.33528581439248856 y[1] (numeric) 0.3352858143924771 absolute error 1.1435297153639112e-14 relative error 3.4106116819642278e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7270002895193486 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7270057904473468 Order of pole (three term test) 2.0000234703564734 Radius of convergence (six term test) for eq 1 1.7270004199729758 Order of pole (six term test) 0.999999999993106 TOP MAIN SOLVE Loop x[1] -1.727999999999975 y[1] (closed_form) 0.33489786452377657 y[1] (numeric) 0.3348978645237651 absolute error 1.149080830487037e-14 relative error 3.4311381236217357e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7280002893518025 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7280057870963204 Order of pole (three term test) 2.0000234431990953 Radius of convergence (six term test) for eq 1 1.728000344439442 Order of pole (six term test) 0.9999999999964411 TOP MAIN SOLVE Loop x[1] -1.7289999999999748 y[1] (closed_form) 0.3345105875946177 y[1] (numeric) 0.33451058759460617 absolute error 1.1546319456101628e-14 relative error 3.4517052327486355e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7290002891844503 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7290057837491744 Order of pole (three term test) 2.000023416088955 Radius of convergence (six term test) for eq 1 1.729000080814868 Order of pole (six term test) 1.000000000010976 TOP MAIN SOLVE Loop x[1] -1.7299999999999747 y[1] (closed_form) 0.334123982049533 y[1] (numeric) 0.3341239820495214 absolute error 1.1601830607332886e-14 relative error 3.4723130426516186e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7300002890172916 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7300057804059072 Order of pole (three term test) 2.000023389025771 Radius of convergence (six term test) for eq 1 1.7300000169503083 Order of pole (six term test) 1.0000000000137375 TOP MAIN SOLVE Loop x[1] -1.7309999999999746 y[1] (closed_form) 0.3337380463375351 y[1] (numeric) 0.33373804633752346 absolute error 1.1657341758564144e-14 relative error 3.492961586637375e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.731000288850326 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7310057770664775 Order of pole (three term test) 2.0000233620093764 Radius of convergence (six term test) for eq 1 1.7310004340226532 Order of pole (six term test) 0.9999999999923244 TOP MAIN SOLVE Loop x[1] -1.7319999999999744 y[1] (closed_form) 0.333352778912113 y[1] (numeric) 0.33335277891210136 absolute error 1.1657341758564144e-14 relative error 3.4969985240883655e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7320002886835533 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7320057737309198 Order of pole (three term test) 2.0000233350398333 Radius of convergence (six term test) for eq 1 1.7319999715892098 Order of pole (six term test) 1.0000000000170903 TOP MAIN SOLVE Loop x[1] -1.7329999999999743 y[1] (closed_form) 0.33296817823121627 y[1] (numeric) 0.33296817823120456 absolute error 1.1712852909795402e-14 relative error 3.5177094015458394e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7330002885169729 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.733005770399231 Order of pole (three term test) 2.0000233081171523 Radius of convergence (six term test) for eq 1 1.7329999284344426 Order of pole (six term test) 1.0000000000189475 TOP MAIN SOLVE Loop x[1] -1.7339999999999742 y[1] (closed_form) 0.3325842427572397 y[1] (numeric) 0.3325842427572279 absolute error 1.176836406102666e-14 relative error 3.5384611019039283e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7340002883505847 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.734005767071356 Order of pole (three term test) 2.0000232812407868 Radius of convergence (six term test) for eq 1 1.7340000193103389 Order of pole (six term test) 1.0000000000140163 TOP MAIN SOLVE Loop x[1] -1.7349999999999741 y[1] (closed_form) 0.33220097095700785 y[1] (numeric) 0.332200970956996 absolute error 1.1823875212257917e-14 relative error 3.5592536584693237e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7350002881843882 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7350057637473317 Order of pole (three term test) 2.000023254411086 Radius of convergence (six term test) for eq 1 1.7350000711958273 Order of pole (six term test) 1.0000000000112932 TOP MAIN SOLVE Loop x[1] -1.735999999999974 y[1] (closed_form) 0.3318183613017599 y[1] (numeric) 0.3318183613017481 absolute error 1.1823875212257917e-14 relative error 3.5633577255554984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7360002880183834 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7360057604271262 Order of pole (three term test) 2.000023227627482 Radius of convergence (six term test) for eq 1 1.7360002244308166 Order of pole (six term test) 1.0000000000033413 TOP MAIN SOLVE Loop x[1] -1.736999999999974 y[1] (closed_form) 0.33143641226713444 y[1] (numeric) 0.33143641226712256 absolute error 1.1879386363489175e-14 relative error 3.5842128154327557e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7370002878525697 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7370057571107607 Order of pole (three term test) 2.0000232008903644 Radius of convergence (six term test) for eq 1 1.737000337772866 Order of pole (six term test) 0.9999999999986171 TOP MAIN SOLVE Loop x[1] -1.7379999999999738 y[1] (closed_form) 0.33105512233315404 y[1] (numeric) 0.3310551223331421 absolute error 1.1934897514720433e-14 relative error 3.6051088503351615e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7380002876869465 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7380057537981968 Order of pole (three term test) 2.000023174199236 Radius of convergence (six term test) for eq 1 1.7380001077146252 Order of pole (six term test) 1.0000000000095435 TOP MAIN SOLVE Loop x[1] -1.7389999999999737 y[1] (closed_form) 0.33067448998421034 y[1] (numeric) 0.3306744899841984 absolute error 1.1934897514720433e-14 relative error 3.60925861420103e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.739000287521514 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7390057504894572 Order of pole (three term test) 2.0000231475542427 Radius of convergence (six term test) for eq 1 1.7390001071463579 Order of pole (six term test) 1.0000000000107336 TOP MAIN SOLVE Loop x[1] -1.7399999999999736 y[1] (closed_form) 0.33029451370904894 y[1] (numeric) 0.33029451370903695 absolute error 1.199040866595169e-14 relative error 3.6302173267442904e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7400002873562717 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7400057471845094 Order of pole (three term test) 2.000023120955108 Radius of convergence (six term test) for eq 1 1.7400001774191403 Order of pole (six term test) 1.0000000000056293 TOP MAIN SOLVE Loop x[1] -1.7409999999999735 y[1] (closed_form) 0.3299151920007543 y[1] (numeric) 0.32991519200074226 absolute error 1.2045919817182948e-14 relative error 3.651217073130542e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7410002871912191 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.741005743883359 Order of pole (three term test) 2.0000230944018305 Radius of convergence (six term test) for eq 1 1.7410002105771747 Order of pole (six term test) 1.0000000000027756 TOP MAIN SOLVE Loop x[1] -1.7419999999999733 y[1] (closed_form) 0.329536523356735 y[1] (numeric) 0.3295365233567229 absolute error 1.2101430968414206e-14 relative error 3.672257886666474e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7420002870263562 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.742005740585991 Order of pole (three term test) 2.0000230678941997 Radius of convergence (six term test) for eq 1 1.7420000441155228 Order of pole (six term test) 1.0000000000120082 TOP MAIN SOLVE Loop x[1] -1.7429999999999732 y[1] (closed_form) 0.3291585062787086 y[1] (numeric) 0.32915850627869647 absolute error 1.2101430968414206e-14 relative error 3.676475235358965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7430002868616823 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7430057372924133 Order of pole (three term test) 2.000023041432191 Radius of convergence (six term test) for eq 1 1.7430001299673383 Order of pole (six term test) 1.0000000000086322 TOP MAIN SOLVE Loop x[1] -1.7439999999999731 y[1] (closed_form) 0.3287811392726871 y[1] (numeric) 0.3287811392726749 absolute error 1.2212453270876722e-14 relative error 3.7144628484141424e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7440002866971973 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7440057340026225 Order of pole (three term test) 2.0000230150157265 Radius of convergence (six term test) for eq 1 1.7440000257005885 Order of pole (six term test) 1.0000000000134186 TOP MAIN SOLVE Loop x[1] -1.744999999999973 y[1] (closed_form) 0.3284044208489619 y[1] (numeric) 0.3284044208489496 absolute error 1.226796442210798e-14 relative error 3.735627063239261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7450002865329008 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.745005730716586 Order of pole (three term test) 2.000022988644657 Radius of convergence (six term test) for eq 1 1.7450002347183091 Order of pole (six term test) 1.0000000000026281 TOP MAIN SOLVE Loop x[1] -1.745999999999973 y[1] (closed_form) 0.32802834952208926 y[1] (numeric) 0.328028349522077 absolute error 1.226796442210798e-14 relative error 3.7399098096190194e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7460002863687925 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7460057274343288 Order of pole (three term test) 2.0000229623190124 Radius of convergence (six term test) for eq 1 1.745999907284391 Order of pole (six term test) 1.0000000000199112 TOP MAIN SOLVE Loop x[1] -1.7469999999999728 y[1] (closed_form) 0.3276529238108758 y[1] (numeric) 0.32765292381086353 absolute error 1.226796442210798e-14 relative error 3.744195009591661e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7470002862048721 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7470057241558175 Order of pole (three term test) 2.0000229360383215 Radius of convergence (six term test) for eq 1 1.7470000592882666 Order of pole (six term test) 1.0000000000112363 TOP MAIN SOLVE Loop x[1] -1.7479999999999727 y[1] (closed_form) 0.3272781422383636 y[1] (numeric) 0.3272781422383513 absolute error 1.2323475573339238e-14 relative error 3.765444123171473e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7480002860411392 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.748005720881082 Order of pole (three term test) 2.0000229098029427 Radius of convergence (six term test) for eq 1 1.7480001380612868 Order of pole (six term test) 1.0000000000069864 TOP MAIN SOLVE Loop x[1] -1.7489999999999726 y[1] (closed_form) 0.32690400333181585 y[1] (numeric) 0.32690400333180347 absolute error 1.2378986724570495e-14 relative error 3.786734514843341e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7490002858775935 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7490057176100504 Order of pole (three term test) 2.0000228836123295 Radius of convergence (six term test) for eq 1 1.7490001385034906 Order of pole (six term test) 1.0000000000068834 TOP MAIN SOLVE Loop x[1] -1.7499999999999725 y[1] (closed_form) 0.3265305056227023 y[1] (numeric) 0.32653050562268987 absolute error 1.2434497875801753e-14 relative error 3.808066217913955e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.750000285714235 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7500057143427832 Order of pole (three term test) 2.0000228574667216 Radius of convergence (six term test) for eq 1 1.7500004901758652 Order of pole (six term test) 0.9999999999896163 TOP MAIN SOLVE Loop x[1] -1.7509999999999724 y[1] (closed_form) 0.32615764764668503 y[1] (numeric) 0.32615764764667254 absolute error 1.2490009027033011e-14 relative error 3.829439265690005e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7510002855510627 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.751005711079251 Order of pole (three term test) 2.000022831366036 Radius of convergence (six term test) for eq 1 1.7510003200958197 Order of pole (six term test) 0.9999999999974589 TOP MAIN SOLVE Loop x[1] -1.7519999999999722 y[1] (closed_form) 0.3257854279436038 y[1] (numeric) 0.32578542794359133 absolute error 1.2490009027033011e-14 relative error 3.833814515852175e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7520002853880767 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7520057078194349 Order of pole (three term test) 2.000022805309834 Radius of convergence (six term test) for eq 1 1.7520002648150148 Order of pole (six term test) 1.000000000001375 TOP MAIN SOLVE Loop x[1] -1.7529999999999721 y[1] (closed_form) 0.3254138450574622 y[1] (numeric) 0.32541384505744964 absolute error 1.2545520178264269e-14 relative error 3.855250896300665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7530002852252768 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7530057045633307 Order of pole (three term test) 2.0000227792982304 Radius of convergence (six term test) for eq 1 1.7530004338876588 Order of pole (six term test) 0.9999999999927001 TOP MAIN SOLVE Loop x[1] -1.753999999999972 y[1] (closed_form) 0.32504289753641274 y[1] (numeric) 0.32504289753640014 absolute error 1.2601031329495527e-14 relative error 3.876728710272435e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7540002850626626 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7540057013109565 Order of pole (three term test) 2.0000227533311894 Radius of convergence (six term test) for eq 1 1.7540001272450974 Order of pole (six term test) 1.0000000000082148 TOP MAIN SOLVE Loop x[1] -1.754999999999972 y[1] (closed_form) 0.3246725839327434 y[1] (numeric) 0.3246725839327308 absolute error 1.2601031329495527e-14 relative error 3.881150412165955e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7550002849002337 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.755005698062287 Order of pole (three term test) 2.000022727408545 Radius of convergence (six term test) for eq 1 1.7550000691178285 Order of pole (six term test) 1.0000000000123368 TOP MAIN SOLVE Loop x[1] -1.7559999999999718 y[1] (closed_form) 0.3243029028028631 y[1] (numeric) 0.32430290280285046 absolute error 1.2656542480726785e-14 relative error 3.902691703139157e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7560002847379899 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.756005694817314 Order of pole (three term test) 2.000022701530167 Radius of convergence (six term test) for eq 1 1.755999982448931 Order of pole (six term test) 1.0000000000147296 TOP MAIN SOLVE Loop x[1] -1.7569999999999717 y[1] (closed_form) 0.3239338527072876 y[1] (numeric) 0.3239338527072749 absolute error 1.2656542480726785e-14 relative error 3.907137946512636e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7570002845759305 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7570056915760257 Order of pole (three term test) 2.0000226756958672 Radius of convergence (six term test) for eq 1 1.7570001691170565 Order of pole (six term test) 1.000000000006442 TOP MAIN SOLVE Loop x[1] -1.7579999999999716 y[1] (closed_form) 0.32356543221062567 y[1] (numeric) 0.32356543221061296 absolute error 1.2712053631958042e-14 relative error 3.928742803305114e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7580002844140556 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7580056883384345 Order of pole (three term test) 2.0000226499056555 Radius of convergence (six term test) for eq 1 1.7580001280584292 Order of pole (six term test) 1.0000000000074722 TOP MAIN SOLVE Loop x[1] -1.7589999999999715 y[1] (closed_form) 0.32319763988156497 y[1] (numeric) 0.32319763988155226 absolute error 1.2712053631958042e-14 relative error 3.933213632567473e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7590002842523647 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7590056851045293 Order of pole (three term test) 2.000022624159515 Radius of convergence (six term test) for eq 1 1.7590003626784 Order of pole (six term test) 0.999999999995449 TOP MAIN SOLVE Loop x[1] -1.7599999999999714 y[1] (closed_form) 0.32283047429285844 y[1] (numeric) 0.3228304742928456 absolute error 1.2823075934420558e-14 relative error 3.9720772837535764e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7600002840908575 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7600056818742944 Order of pole (three term test) 2.0000225984572073 Radius of convergence (six term test) for eq 1 1.760000301553033 Order of pole (six term test) 0.9999999999987459 TOP MAIN SOLVE Loop x[1] -1.7609999999999713 y[1] (closed_form) 0.3224639340213099 y[1] (numeric) 0.3224639340212971 absolute error 1.2823075934420558e-14 relative error 3.976592288790085e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7610002839295338 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7610056786477246 Order of pole (three term test) 2.0000225727986756 Radius of convergence (six term test) for eq 1 1.7610005243787565 Order of pole (six term test) 0.9999999999879403 TOP MAIN SOLVE Loop x[1] -1.7619999999999711 y[1] (closed_form) 0.3220980176477609 y[1] (numeric) 0.3220980176477481 absolute error 1.2823075934420558e-14 relative error 3.981109858441781e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7620002837683932 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.762005675424801 Order of pole (three term test) 2.0000225471836397 Radius of convergence (six term test) for eq 1 1.7620001655929374 Order of pole (six term test) 1.0000000000056621 TOP MAIN SOLVE Loop x[1] -1.762999999999971 y[1] (closed_form) 0.3217327237570766 y[1] (numeric) 0.32173272375706374 absolute error 1.2878587085651816e-14 relative error 4.002883802200909e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7630002836074357 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.763005672205566 Order of pole (three term test) 2.0000225216124643 Radius of convergence (six term test) for eq 1 1.7630002875611992 Order of pole (six term test) 1.0000000000005347 TOP MAIN SOLVE Loop x[1] -1.763999999999971 y[1] (closed_form) 0.32136805093813214 y[1] (numeric) 0.3213680509381192 absolute error 1.2934098236883074e-14 relative error 4.0246994681413024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7640002834466602 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7640056689899641 Order of pole (three term test) 2.000022496084607 Radius of convergence (six term test) for eq 1 1.7640001895429045 Order of pole (six term test) 1.0000000000048788 TOP MAIN SOLVE Loop x[1] -1.7649999999999708 y[1] (closed_form) 0.321003997783799 y[1] (numeric) 0.321003997783786 absolute error 1.2989609388114332e-14 relative error 4.046556889569652e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7650002832860672 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.765005665778011 Order of pole (three term test) 2.000022470600154 Radius of convergence (six term test) for eq 1 1.765000216204914 Order of pole (six term test) 1.0000000000037481 TOP MAIN SOLVE Loop x[1] -1.7659999999999707 y[1] (closed_form) 0.3206405628909316 y[1] (numeric) 0.3206405628909186 absolute error 1.304512053934559e-14 relative error 4.068456099792648e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7660002831256558 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7660056625696872 Order of pole (three term test) 2.0000224451589625 Radius of convergence (six term test) for eq 1 1.7660000436014511 Order of pole (six term test) 1.000000000012439 TOP MAIN SOLVE Loop x[1] -1.7669999999999706 y[1] (closed_form) 0.32027774486035354 y[1] (numeric) 0.3202777448603405 absolute error 1.304512053934559e-14 relative error 4.0730649408791984e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.767000282965426 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7670056593650108 Order of pole (three term test) 2.00002241976107 Radius of convergence (six term test) for eq 1 1.7670003438583786 Order of pole (six term test) 0.9999999999975335 TOP MAIN SOLVE Loop x[1] -1.7679999999999705 y[1] (closed_form) 0.31991554229684427 y[1] (numeric) 0.3199155422968312 absolute error 1.304512053934559e-14 relative error 4.077676390989857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7680002828053778 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7680056561639461 Order of pole (three term test) 2.0000223944061184 Radius of convergence (six term test) for eq 1 1.7680002481531127 Order of pole (six term test) 1.0000000000019753 TOP MAIN SOLVE Loop x[1] -1.7689999999999704 y[1] (closed_form) 0.31955395380912577 y[1] (numeric) 0.31955395380911267 absolute error 1.3100631690576847e-14 relative error 4.0996618988485575e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7690002826455102 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7690056529665004 Order of pole (three term test) 2.0000223690941965 Radius of convergence (six term test) for eq 1 1.7690001990107063 Order of pole (six term test) 1.000000000003877 TOP MAIN SOLVE Loop x[1] -1.7699999999999703 y[1] (closed_form) 0.3191929780098489 y[1] (numeric) 0.3191929780098357 absolute error 1.3211653993039363e-14 relative error 4.1390804006445615e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7700002824858234 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.77000564977267 Order of pole (three term test) 2.0000223438251603 Radius of convergence (six term test) for eq 1 1.7700001925214595 Order of pole (six term test) 1.0000000000046168 TOP MAIN SOLVE Loop x[1] -1.7709999999999702 y[1] (closed_form) 0.3188326135155803 y[1] (numeric) 0.3188326135155671 absolute error 1.3211653993039363e-14 relative error 4.143758647323497e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.771000282326317 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7710056465824517 Order of pole (three term test) 2.0000223185989503 Radius of convergence (six term test) for eq 1 1.770999959957407 Order of pole (six term test) 1.0000000000164277 TOP MAIN SOLVE Loop x[1] -1.77199999999997 y[1] (closed_form) 0.3184728589467892 y[1] (numeric) 0.3184728589467759 absolute error 1.326716514427062e-14 relative error 4.165869954553118e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7720002821669905 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.772005643395833 Order of pole (three term test) 2.00002229341543 Radius of convergence (six term test) for eq 1 1.7720005497986548 Order of pole (six term test) 0.9999999999869473 TOP MAIN SOLVE Loop x[1] -1.77299999999997 y[1] (closed_form) 0.31811371292783397 y[1] (numeric) 0.31811371292782065 absolute error 1.3322676295501878e-14 relative error 4.18802326151976e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7730002820078439 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7730056402128052 Order of pole (three term test) 2.0000222682744893 Radius of convergence (six term test) for eq 1 1.7730001621994185 Order of pole (six term test) 1.000000000006109 TOP MAIN SOLVE Loop x[1] -1.7739999999999698 y[1] (closed_form) 0.31775517408694925 y[1] (numeric) 0.3177551740869359 absolute error 1.3378187446733136e-14 relative error 4.210218601530115e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7740002818488765 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7740056370333694 Order of pole (three term test) 2.0000222431760415 Radius of convergence (six term test) for eq 1 1.7740002089787636 Order of pole (six term test) 1.0000000000031086 TOP MAIN SOLVE Loop x[1] -1.7749999999999697 y[1] (closed_form) 0.3173972410562327 y[1] (numeric) 0.31739724105621925 absolute error 1.3433698597964394e-14 relative error 4.232456007890872e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7750002816900883 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.775005633857505 Order of pole (three term test) 2.0000222181199994 Radius of convergence (six term test) for eq 1 1.7750000419065284 Order of pole (six term test) 1.0000000000109353 TOP MAIN SOLVE Loop x[1] -1.7759999999999696 y[1] (closed_form) 0.31703991247163177 y[1] (numeric) 0.31703991247161833 absolute error 1.3433698597964394e-14 relative error 4.2372263142630095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7760002815314788 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.776005630685227 Order of pole (three term test) 2.000022193106288 Radius of convergence (six term test) for eq 1 1.776000154446416 Order of pole (six term test) 1.0000000000059766 TOP MAIN SOLVE Loop x[1] -1.7769999999999695 y[1] (closed_form) 0.3166831869729313 y[1] (numeric) 0.31668318697291775 absolute error 1.354472090042691e-14 relative error 4.27705715289036e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7770002813730479 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.777005627516524 Order of pole (three term test) 2.000022168134825 Radius of convergence (six term test) for eq 1 1.777000208164043 Order of pole (six term test) 1.000000000002892 TOP MAIN SOLVE Loop x[1] -1.7779999999999694 y[1] (closed_form) 0.31632706320373977 y[1] (numeric) 0.31632706320372617 absolute error 1.3600232051658168e-14 relative error 4.299420958142471e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7780002812147953 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7780056243513747 Order of pole (three term test) 2.000022143205415 Radius of convergence (six term test) for eq 1 1.7780004288589661 Order of pole (six term test) 0.9999999999934328 TOP MAIN SOLVE Loop x[1] -1.7789999999999693 y[1] (closed_form) 0.315971539811477 y[1] (numeric) 0.31597153981146336 absolute error 1.3655743202889425e-14 relative error 4.3218269629717485e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7790002810567207 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7790056211897884 Order of pole (three term test) 2.0000221183180455 Radius of convergence (six term test) for eq 1 1.7790001926767418 Order of pole (six term test) 1.0000000000051381 TOP MAIN SOLVE Loop x[1] -1.7799999999999692 y[1] (closed_form) 0.31561661544736114 y[1] (numeric) 0.3156166154473475 absolute error 1.3655743202889425e-14 relative error 4.326687041977657e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7800002808988236 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7800056180317683 Order of pole (three term test) 2.0000220934727473 Radius of convergence (six term test) for eq 1 1.7800001706134423 Order of pole (six term test) 1.0000000000041922 TOP MAIN SOLVE Loop x[1] -1.780999999999969 y[1] (closed_form) 0.3152622887663959 y[1] (numeric) 0.3152622887663822 absolute error 1.3711254354120683e-14 relative error 4.349157778360384e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7810002807411036 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.781005614877283 Order of pole (three term test) 2.0000220686692325 Radius of convergence (six term test) for eq 1 1.7810000523875908 Order of pole (six term test) 1.0000000000109814 TOP MAIN SOLVE Loop x[1] -1.781999999999969 y[1] (closed_form) 0.31490855842735765 y[1] (numeric) 0.31490855842734383 absolute error 1.3822276656583199e-14 relative error 4.389298507989483e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7820002805835609 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7820056117263328 Order of pole (three term test) 2.000022043907432 Radius of convergence (six term test) for eq 1 1.7819999986282198 Order of pole (six term test) 1.0000000000143858 TOP MAIN SOLVE Loop x[1] -1.7829999999999688 y[1] (closed_form) 0.31455542309278284 y[1] (numeric) 0.31455542309276896 absolute error 1.3877787807814457e-14 relative error 4.411873644194332e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7830002804261946 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7830056085789225 Order of pole (three term test) 2.000022019187231 Radius of convergence (six term test) for eq 1 1.7830000700668904 Order of pole (six term test) 1.0000000000105924 TOP MAIN SOLVE Loop x[1] -1.7839999999999687 y[1] (closed_form) 0.31420288142895547 y[1] (numeric) 0.31420288142894154 absolute error 1.3933298959045715e-14 relative error 4.4344911465098e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.784000280269005 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7840056054350317 Order of pole (three term test) 2.0000219945085616 Radius of convergence (six term test) for eq 1 1.7840000086271266 Order of pole (six term test) 1.0000000000126725 TOP MAIN SOLVE Loop x[1] -1.7849999999999686 y[1] (closed_form) 0.31385093210589426 y[1] (numeric) 0.31385093210588033 absolute error 1.3933298959045715e-14 relative error 4.439463940908284e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7850002801119915 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7850056022946668 Order of pole (three term test) 2.0000219698713653 Radius of convergence (six term test) for eq 1 1.7850003015150122 Order of pole (six term test) 0.9999999999996749 TOP MAIN SOLVE Loop x[1] -1.7859999999999685 y[1] (closed_form) 0.31349957379734045 y[1] (numeric) 0.31349957379732646 absolute error 1.3988810110276972e-14 relative error 4.462146452332959e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7860002799551538 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7860055991578312 Order of pole (three term test) 2.0000219452756927 Radius of convergence (six term test) for eq 1 1.7860001604034403 Order of pole (six term test) 1.0000000000067333 TOP MAIN SOLVE Loop x[1] -1.7869999999999684 y[1] (closed_form) 0.3131488051807449 y[1] (numeric) 0.31314880518073085 absolute error 1.404432126150823e-14 relative error 4.484871418686095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7870002797984916 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7870055960244902 Order of pole (three term test) 2.000021920721211 Radius of convergence (six term test) for eq 1 1.7870003037615498 Order of pole (six term test) 0.9999999999986153 TOP MAIN SOLVE Loop x[1] -1.7879999999999683 y[1] (closed_form) 0.31279862493725585 y[1] (numeric) 0.31279862493724175 absolute error 1.4099832412739488e-14 relative error 4.507638873274385e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7880002796420047 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7880055928946705 Order of pole (three term test) 2.000021896207883 Radius of convergence (six term test) for eq 1 1.7880001283035747 Order of pole (six term test) 1.0000000000073097 TOP MAIN SOLVE Loop x[1] -1.7889999999999682 y[1] (closed_form) 0.31244903175170663 y[1] (numeric) 0.3124490317516925 absolute error 1.4155343563970746e-14 relative error 4.5304488494045165e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7890002794856925 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7890055897683428 Order of pole (three term test) 2.0000218717356923 Radius of convergence (six term test) for eq 1 1.7890002486650187 Order of pole (six term test) 1.000000000001232 TOP MAIN SOLVE Loop x[1] -1.789999999999968 y[1] (closed_form) 0.312100024312603 y[1] (numeric) 0.3121000243125888 absolute error 1.4155343563970746e-14 relative error 4.535515046866062e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7900002793295553 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.790005586645509 Order of pole (three term test) 2.000021847304501 Radius of convergence (six term test) for eq 1 1.7900004004121133 Order of pole (six term test) 0.9999999999936593 TOP MAIN SOLVE Loop x[1] -1.790999999999968 y[1] (closed_form) 0.3117516013121113 y[1] (numeric) 0.31175160131209706 absolute error 1.426636586643326e-14 relative error 4.576196499517074e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7910002791735922 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7910055835261607 Order of pole (three term test) 2.000021822914194 Radius of convergence (six term test) for eq 1 1.7910002397524325 Order of pole (six term test) 1.0000000000023386 TOP MAIN SOLVE Loop x[1] -1.7919999999999678 y[1] (closed_form) 0.31140376144604565 y[1] (numeric) 0.31140376144603144 absolute error 1.4210854715202004e-14 relative error 4.563482036701153e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7920002790178033 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7920055804102812 Order of pole (three term test) 2.0000217985646476 Radius of convergence (six term test) for eq 1 1.7920000851213678 Order of pole (six term test) 1.0000000000094627 TOP MAIN SOLVE Loop x[1] -1.7929999999999677 y[1] (closed_form) 0.3110565034138563 y[1] (numeric) 0.31105650341384206 absolute error 1.426636586643326e-14 relative error 4.586422630570132e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7930002788621882 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7930055772978986 Order of pole (three term test) 2.00002177425596 Radius of convergence (six term test) for eq 1 1.7929998262768032 Order of pole (six term test) 1.0000000000208802 TOP MAIN SOLVE Loop x[1] -1.7939999999999676 y[1] (closed_form) 0.31070982591861707 y[1] (numeric) 0.31070982591860274 absolute error 1.432187701766452e-14 relative error 4.609405890309948e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7940002787067464 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.794005574188973 Order of pole (three term test) 2.0000217499878605 Radius of convergence (six term test) for eq 1 1.7940002623464963 Order of pole (six term test) 1.0000000000013456 TOP MAIN SOLVE Loop x[1] -1.7949999999999675 y[1] (closed_form) 0.31036372766701326 y[1] (numeric) 0.31036372766699893 absolute error 1.432187701766452e-14 relative error 4.6145460119715876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.795000278551478 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.795005571083528 Order of pole (three term test) 2.0000217257603783 Radius of convergence (six term test) for eq 1 1.7950000887787099 Order of pole (six term test) 1.0000000000094085 TOP MAIN SOLVE Loop x[1] -1.7959999999999674 y[1] (closed_form) 0.31001820736933006 y[1] (numeric) 0.3100182073693156 absolute error 1.4432899320127035e-14 relative error 4.655500540628852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7960002783963824 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7960055679815168 Order of pole (three term test) 2.000021701573258 Radius of convergence (six term test) for eq 1 1.7960001523922928 Order of pole (six term test) 1.0000000000061826 TOP MAIN SOLVE Loop x[1] -1.7969999999999673 y[1] (closed_form) 0.3096732637394398 y[1] (numeric) 0.30967326373942533 absolute error 1.4488410471358293e-14 relative error 4.6786119978213205e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7970002782414594 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7970055648829781 Order of pole (three term test) 2.0000216774265556 Radius of convergence (six term test) for eq 1 1.7970000976771 Order of pole (six term test) 1.0000000000093543 TOP MAIN SOLVE Loop x[1] -1.7979999999999672 y[1] (closed_form) 0.3093288954947906 y[1] (numeric) 0.3093288954947761 absolute error 1.4488410471358293e-14 relative error 4.683820581385773e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7980002780867088 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7980055617878803 Order of pole (three term test) 2.000021653320131 Radius of convergence (six term test) for eq 1 1.7980003232285953 Order of pole (six term test) 0.9999999999980487 TOP MAIN SOLVE Loop x[1] -1.798999999999967 y[1] (closed_form) 0.30898510135639407 y[1] (numeric) 0.3089851013563796 absolute error 1.4488410471358293e-14 relative error 4.689032062632321e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.7990002779321304 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7990055586962046 Order of pole (three term test) 2.0000216292537045 Radius of convergence (six term test) for eq 1 1.7990001885842475 Order of pole (six term test) 1.0000000000039444 TOP MAIN SOLVE Loop x[1] -1.799999999999967 y[1] (closed_form) 0.30864188004881377 y[1] (numeric) 0.3086418800487992 absolute error 1.454392162258955e-14 relative error 4.712232060111004e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8000002777777233 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8000055556080061 Order of pole (three term test) 2.000021605227764 Radius of convergence (six term test) for eq 1 1.800000149136887 Order of pole (six term test) 1.0000000000060503 TOP MAIN SOLVE Loop x[1] -1.8009999999999668 y[1] (closed_form) 0.308299230300153 y[1] (numeric) 0.3082992303001384 absolute error 1.459943277382081e-14 relative error 4.735474934402898e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.801000277623488 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8010055525232056 Order of pole (three term test) 2.0000215812416258 Radius of convergence (six term test) for eq 1 1.8010003807110313 Order of pole (six term test) 0.9999999999950013 TOP MAIN SOLVE Loop x[1] -1.8019999999999667 y[1] (closed_form) 0.3079571508420432 y[1] (numeric) 0.30795715084202857 absolute error 1.4654943925052066e-14 relative error 4.758760718814693e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8020002774694237 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8020055494418257 Order of pole (three term test) 2.0000215572952986 Radius of convergence (six term test) for eq 1 1.8020001417429599 Order of pole (six term test) 1.000000000006196 TOP MAIN SOLVE Loop x[1] -1.8029999999999666 y[1] (closed_form) 0.30761564040963235 y[1] (numeric) 0.3076156404096177 absolute error 1.4654943925052066e-14 relative error 4.764043826099675e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8030002773155305 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.80300554636388 Order of pole (three term test) 2.000021533388966 Radius of convergence (six term test) for eq 1 1.802999861124782 Order of pole (six term test) 1.0000000000196136 TOP MAIN SOLVE Loop x[1] -1.8039999999999665 y[1] (closed_form) 0.30727469774157307 y[1] (numeric) 0.3072746977415584 absolute error 1.4654943925052066e-14 relative error 4.76932986437344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8040002771618078 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8040055432893387 Order of pole (three term test) 2.0000215095223024 Radius of convergence (six term test) for eq 1 1.8040003313405935 Order of pole (six term test) 0.9999999999975593 TOP MAIN SOLVE Loop x[1] -1.8049999999999664 y[1] (closed_form) 0.3069343215800111 y[1] (numeric) 0.30693432157999634 absolute error 1.4765966227514582e-14 relative error 4.8107901884362635e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8050002770082554 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8050055402182126 Order of pole (three term test) 2.0000214856953433 Radius of convergence (six term test) for eq 1 1.8050002218163959 Order of pole (six term test) 1.0000000000022045 TOP MAIN SOLVE Loop x[1] -1.8059999999999663 y[1] (closed_form) 0.3065945106705735 y[1] (numeric) 0.3065945106705587 absolute error 1.4765966227514582e-14 relative error 4.816122178841019e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.806000276854873 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8060055371504762 Order of pole (three term test) 2.0000214619079455 Radius of convergence (six term test) for eq 1 1.8059997545938173 Order of pole (six term test) 1.0000000000244817 TOP MAIN SOLVE Loop x[1] -1.8069999999999662 y[1] (closed_form) 0.30625526376235734 y[1] (numeric) 0.3062552637623426 absolute error 1.4765966227514582e-14 relative error 4.821457122439019e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8070002767016606 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8070055340861446 Order of pole (three term test) 2.000021438160012 Radius of convergence (six term test) for eq 1 1.8069999425723497 Order of pole (six term test) 1.00000000001618 TOP MAIN SOLVE Loop x[1] -1.807999999999966 y[1] (closed_form) 0.3059165796079182 y[1] (numeric) 0.30591657960790336 absolute error 1.482147737874584e-14 relative error 4.84494086516722e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8080002765486174 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8080055310251948 Order of pole (three term test) 2.0000214144514334 Radius of convergence (six term test) for eq 1 1.8080000597956873 Order of pole (six term test) 1.0000000000102656 TOP MAIN SOLVE Loop x[1] -1.808999999999966 y[1] (closed_form) 0.30557845696325836 y[1] (numeric) 0.3055784569632435 absolute error 1.4876988529977098e-14 relative error 4.868467717855468e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8090002763957438 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8090055279676354 Order of pole (three term test) 2.0000213907822433 Radius of convergence (six term test) for eq 1 1.8090002315610214 Order of pole (six term test) 1.0000000000009939 TOP MAIN SOLVE Loop x[1] -1.8099999999999659 y[1] (closed_form) 0.3052408945878157 y[1] (numeric) 0.30524089458780085 absolute error 1.4876988529977098e-14 relative error 4.873851700004466e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8100002762430387 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8100055249134532 Order of pole (three term test) 2.0000213671522427 Radius of convergence (six term test) for eq 1 1.810000210170399 Order of pole (six term test) 1.0000000000025873 TOP MAIN SOLVE Loop x[1] -1.8109999999999657 y[1] (closed_form) 0.30490389124445233 y[1] (numeric) 0.30490389124443745 absolute error 1.4876988529977098e-14 relative error 4.87923865755117e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8110002760905024 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8110055218626389 Order of pole (three term test) 2.0000213435613228 Radius of convergence (six term test) for eq 1 1.811000215288627 Order of pole (six term test) 1.000000000002145 TOP MAIN SOLVE Loop x[1] -1.8119999999999656 y[1] (closed_form) 0.3045674456994431 y[1] (numeric) 0.3045674456994281 absolute error 1.4988010832439613e-14 relative error 4.921081042663457e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8120002759381344 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8120055188152047 Order of pole (three term test) 2.000021320009576 Radius of convergence (six term test) for eq 1 1.811999734693423 Order of pole (six term test) 1.0000000000247065 TOP MAIN SOLVE Loop x[1] -1.8129999999999655 y[1] (closed_form) 0.30423155672246416 y[1] (numeric) 0.30423155672244917 absolute error 1.4988010832439613e-14 relative error 4.926514196590216e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8130002757859347 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8130055157711282 Order of pole (three term test) 2.0000212964967345 Radius of convergence (six term test) for eq 1 1.8130001966693066 Order of pole (six term test) 1.0000000000037375 TOP MAIN SOLVE Loop x[1] -1.8139999999999654 y[1] (closed_form) 0.3038962230865822 y[1] (numeric) 0.30389622308656716 absolute error 1.504352198367087e-14 relative error 4.950216830889953e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8140002756339026 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.814005512730408 Order of pole (three term test) 2.000021273022756 Radius of convergence (six term test) for eq 1 1.8140001264178982 Order of pole (six term test) 1.0000000000064917 TOP MAIN SOLVE Loop x[1] -1.8149999999999653 y[1] (closed_form) 0.3035614435682428 y[1] (numeric) 0.30356144356822773 absolute error 1.504352198367087e-14 relative error 4.955676125017827e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8150002754820382 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8150055096930156 Order of pole (three term test) 2.000021249587424 Radius of convergence (six term test) for eq 1 1.8150000618745976 Order of pole (six term test) 1.0000000000095994 TOP MAIN SOLVE Loop x[1] -1.8159999999999652 y[1] (closed_form) 0.30322721694725946 y[1] (numeric) 0.30322721694724436 absolute error 1.509903313490213e-14 relative error 4.979445211716703e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8160002753303408 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8160055066589968 Order of pole (three term test) 2.000021226190994 Radius of convergence (six term test) for eq 1 1.8160000151217277 Order of pole (six term test) 1.0000000000126024 TOP MAIN SOLVE Loop x[1] -1.816999999999965 y[1] (closed_form) 0.3028935420068025 y[1] (numeric) 0.30289354200678736 absolute error 1.5154544286133387e-14 relative error 5.003257641522459e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8170002751788106 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8170055036283084 Order of pole (three term test) 2.000021202833127 Radius of convergence (six term test) for eq 1 1.8169998884619063 Order of pole (six term test) 1.0000000000168479 TOP MAIN SOLVE Loop x[1] -1.817999999999965 y[1] (closed_form) 0.30256041753338786 y[1] (numeric) 0.30256041753337265 absolute error 1.5210055437364645e-14 relative error 5.027113447741788e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8180002750274469 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8180055006009557 Order of pole (three term test) 2.0000211795138534 Radius of convergence (six term test) for eq 1 1.8179999807382348 Order of pole (six term test) 1.0000000000135412 TOP MAIN SOLVE Loop x[1] -1.8189999999999649 y[1] (closed_form) 0.3022278423168661 y[1] (numeric) 0.3022278423168509 absolute error 1.5210055437364645e-14 relative error 5.032645344904358e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8190002748762497 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8190054975769177 Order of pole (three term test) 2.000021156232865 Radius of convergence (six term test) for eq 1 1.819000118617056 Order of pole (six term test) 1.000000000006743 TOP MAIN SOLVE Loop x[1] -1.8199999999999648 y[1] (closed_form) 0.30189581515041164 y[1] (numeric) 0.3018958151503964 absolute error 1.5265566588595902e-14 relative error 5.05656780336297e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8200002747252189 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.820005494556226 Order of pole (three term test) 2.0000211329903865 Radius of convergence (six term test) for eq 1 1.8200000929446758 Order of pole (six term test) 1.0000000000087859 TOP MAIN SOLVE Loop x[1] -1.8209999999999646 y[1] (closed_form) 0.3015643348305114 y[1] (numeric) 0.3015643348304961 absolute error 1.532107773982716e-14 relative error 5.0805337270529965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8210002745743537 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8210054915388305 Order of pole (three term test) 2.0000211097860676 Radius of convergence (six term test) for eq 1 1.821000215721906 Order of pole (six term test) 1.0000000000011493 TOP MAIN SOLVE Loop x[1] -1.8219999999999645 y[1] (closed_form) 0.3012334001569543 y[1] (numeric) 0.30123340015693895 absolute error 1.5376588891058418e-14 relative error 5.104543149281128e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.822000274423654 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8220054885247625 Order of pole (three term test) 2.0000210866200816 Radius of convergence (six term test) for eq 1 1.8220001598272988 Order of pole (six term test) 1.0000000000056097 TOP MAIN SOLVE Loop x[1] -1.8229999999999644 y[1] (closed_form) 0.3009030099328201 y[1] (numeric) 0.30090300993280467 absolute error 1.5432100042289676e-14 relative error 5.128596103354055e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.82300027427312 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8230054855139943 Order of pole (three term test) 2.000021063492094 Radius of convergence (six term test) for eq 1 1.8230003595567328 Order of pole (six term test) 0.9999999999956763 TOP MAIN SOLVE Loop x[1] -1.8239999999999643 y[1] (closed_form) 0.3005731629644687 y[1] (numeric) 0.3005731629644532 absolute error 1.5487611193520934e-14 relative error 5.152692622578468e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8240002741227508 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8240054825065457 Order of pole (three term test) 2.0000210404023804 Radius of convergence (six term test) for eq 1 1.8240004626836104 Order of pole (six term test) 0.999999999991612 TOP MAIN SOLVE Loop x[1] -1.8249999999999642 y[1] (closed_form) 0.3002438580615293 y[1] (numeric) 0.3002438580615138 absolute error 1.5487611193520934e-14 relative error 5.1583440519029835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8250002739725464 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.825005479502365 Order of pole (three term test) 2.000021017350264 Radius of convergence (six term test) for eq 1 1.8249999971878512 Order of pole (six term test) 1.0000000000122116 TOP MAIN SOLVE Loop x[1] -1.825999999999964 y[1] (closed_form) 0.29991509403688993 y[1] (numeric) 0.2999150940368744 absolute error 1.554312234475219e-14 relative error 5.182507534229127e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8260002738225065 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8260054765014841 Order of pole (three term test) 2.0000209943361136 Radius of convergence (six term test) for eq 1 1.8260001627912679 Order of pole (six term test) 1.0000000000044373 TOP MAIN SOLVE Loop x[1] -1.826999999999964 y[1] (closed_form) 0.2995868697066863 y[1] (numeric) 0.2995868697066707 absolute error 1.559863349598345e-14 relative error 5.206714670524598e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.827000273672631 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8270054735038794 Order of pole (three term test) 2.000020971359788 Radius of convergence (six term test) for eq 1 1.8270003296194834 Order of pole (six term test) 0.9999999999983755 TOP MAIN SOLVE Loop x[1] -1.8279999999999639 y[1] (closed_form) 0.29925918389029144 y[1] (numeric) 0.2992591838902758 absolute error 1.5654144647214707e-14 relative error 5.230965494096089e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8280002735229193 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8280054705095834 Order of pole (three term test) 2.000020948421266 Radius of convergence (six term test) for eq 1 1.8280003108572627 Order of pole (six term test) 0.9999999999991953 TOP MAIN SOLVE Loop x[1] -1.8289999999999638 y[1] (closed_form) 0.29893203541030505 y[1] (numeric) 0.29893203541028934 absolute error 1.5709655798445965e-14 relative error 5.255260038250289e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8290002733733715 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.829005467518538 Order of pole (three term test) 2.000020925520217 Radius of convergence (six term test) for eq 1 1.8290004726713884 Order of pole (six term test) 0.9999999999908384 TOP MAIN SOLVE Loop x[1] -1.8299999999999637 y[1] (closed_form) 0.29860542309254284 y[1] (numeric) 0.2986054230925271 absolute error 1.5765166949677223e-14 relative error 5.2795983362938896e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.830000273223987 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8300054645307744 Order of pole (three term test) 2.000020902656817 Radius of convergence (six term test) for eq 1 1.8300000799765896 Order of pole (six term test) 1.0000000000087743 TOP MAIN SOLVE Loop x[1] -1.8309999999999635 y[1] (closed_form) 0.29827934576602605 y[1] (numeric) 0.2982793457660103 absolute error 1.5765166949677223e-14 relative error 5.285369963914166e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8310002730747656 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8310054615462696 Order of pole (three term test) 2.000020879830796 Radius of convergence (six term test) for eq 1 1.8309998306735824 Order of pole (six term test) 1.0000000000189804 TOP MAIN SOLVE Loop x[1] -1.8319999999999634 y[1] (closed_form) 0.297953802262971 y[1] (numeric) 0.2979538022629552 absolute error 1.582067810090848e-14 relative error 5.3097755359219444e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8320002729257072 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8320054585650187 Order of pole (three term test) 2.000020857042101 Radius of convergence (six term test) for eq 1 1.8320002980808552 Order of pole (six term test) 0.9999999999978719 TOP MAIN SOLVE Loop x[1] -1.8329999999999633 y[1] (closed_form) 0.2976287914187786 y[1] (numeric) 0.29762879141876275 absolute error 1.587618925213974e-14 relative error 5.334224950636965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8330002727768115 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.833005455587017 Order of pole (three term test) 2.0000208342906842 Radius of convergence (six term test) for eq 1 1.8330000938462052 Order of pole (six term test) 1.000000000008293 TOP MAIN SOLVE Loop x[1] -1.8339999999999632 y[1] (closed_form) 0.2973043120720238 y[1] (numeric) 0.2973043120720079 absolute error 1.587618925213974e-14 relative error 5.340046749235724e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8340002726280782 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8340054526122773 Order of pole (three term test) 2.0000208115766047 Radius of convergence (six term test) for eq 1 1.8340000858369003 Order of pole (six term test) 1.000000000008237 TOP MAIN SOLVE Loop x[1] -1.834999999999963 y[1] (closed_form) 0.2969803630644454 y[1] (numeric) 0.2969803630644295 absolute error 1.5931700403370996e-14 relative error 5.364563582243915e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.835000272479507 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8350054496407775 Order of pole (three term test) 2.000020788899639 Radius of convergence (six term test) for eq 1 1.834999915154228 Order of pole (six term test) 1.0000000000162341 TOP MAIN SOLVE Loop x[1] -1.835999999999963 y[1] (closed_form) 0.29665694324093567 y[1] (numeric) 0.29665694324091973 absolute error 1.5931700403370996e-14 relative error 5.370412109461992e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8360002723310975 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8360054466725022 Order of pole (three term test) 2.000020766259583 Radius of convergence (six term test) for eq 1 1.8360002384072307 Order of pole (six term test) 1.0000000000016636 TOP MAIN SOLVE Loop x[1] -1.8369999999999629 y[1] (closed_form) 0.29633405144952996 y[1] (numeric) 0.296334051449514 absolute error 1.5931700403370996e-14 relative error 5.37626382302015e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8370002721828498 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8370054437074654 Order of pole (three term test) 2.0000207436565574 Radius of convergence (six term test) for eq 1 1.83700021406178 Order of pole (six term test) 1.0000000000021405 TOP MAIN SOLVE Loop x[1] -1.8379999999999628 y[1] (closed_form) 0.29601168654139665 y[1] (numeric) 0.29601168654138066 absolute error 1.5987211554602254e-14 relative error 5.400871749827511e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8380002720347632 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8380054407456636 Order of pole (three term test) 2.0000207210904564 Radius of convergence (six term test) for eq 1 1.8380000739006954 Order of pole (six term test) 1.0000000000094884 TOP MAIN SOLVE Loop x[1] -1.8389999999999627 y[1] (closed_form) 0.2956898473708266 y[1] (numeric) 0.29568984737081055 absolute error 1.6042722705833512e-14 relative error 5.425523685875568e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8390002718868377 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8390054377870793 Order of pole (three term test) 2.000020698561128 Radius of convergence (six term test) for eq 1 1.8389998918625154 Order of pole (six term test) 1.0000000000162688 TOP MAIN SOLVE Loop x[1] -1.8399999999999626 y[1] (closed_form) 0.2953685327952233 y[1] (numeric) 0.2953685327952072 absolute error 1.609823385706477e-14 relative error 5.450219664471012e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8400002717390729 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8400054348316992 Order of pole (three term test) 2.000020676068506 Radius of convergence (six term test) for eq 1 1.8399999724433185 Order of pole (six term test) 1.0000000000131148 TOP MAIN SOLVE Loop x[1] -1.8409999999999624 y[1] (closed_form) 0.29504774167509246 y[1] (numeric) 0.29504774167507636 absolute error 1.609823385706477e-14 relative error 5.4561454243537976e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8410002715914688 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8410054318795315 Order of pole (three term test) 2.000020653612487 Radius of convergence (six term test) for eq 1 1.8409999224299984 Order of pole (six term test) 1.0000000000153868 TOP MAIN SOLVE Loop x[1] -1.8419999999999623 y[1] (closed_form) 0.2947274728740323 y[1] (numeric) 0.2947274728740161 absolute error 1.6153745008296028e-14 relative error 5.4809091432070884e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.842000271444025 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8420054289305827 Order of pole (three term test) 2.0000206311931596 Radius of convergence (six term test) for eq 1 1.8420000568637558 Order of pole (six term test) 1.0000000000089564 TOP MAIN SOLVE Loop x[1] -1.8429999999999622 y[1] (closed_form) 0.2944077252587229 y[1] (numeric) 0.2944077252587067 absolute error 1.6209256159527285e-14 relative error 5.505716993425609e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.843000271296741 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8430054259848172 Order of pole (three term test) 2.00002060881015 Radius of convergence (six term test) for eq 1 1.8430002736102862 Order of pole (six term test) 0.9999999999987912 TOP MAIN SOLVE Loop x[1] -1.8439999999999621 y[1] (closed_form) 0.2940884976989166 y[1] (numeric) 0.29408849769890044 absolute error 1.6153745008296028e-14 relative error 5.492817684027204e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8440002711496168 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8440054230422511 Order of pole (three term test) 2.000020586463647 Radius of convergence (six term test) for eq 1 1.844000253459156 Order of pole (six term test) 0.9999999999999227 TOP MAIN SOLVE Loop x[1] -1.844999999999962 y[1] (closed_form) 0.2937697890674281 y[1] (numeric) 0.2937697890674119 absolute error 1.6209256159527285e-14 relative error 5.517672940768876e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8450002710026523 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8450054201028978 Order of pole (three term test) 2.00002056415353 Radius of convergence (six term test) for eq 1 1.8450000168679472 Order of pole (six term test) 1.0000000000113767 TOP MAIN SOLVE Loop x[1] -1.845999999999962 y[1] (closed_form) 0.2934515982401242 y[1] (numeric) 0.2934515982401079 absolute error 1.6264767310758543e-14 relative error 5.542572406591388e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8460002708558467 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8460054171667086 Order of pole (three term test) 2.0000205418796098 Radius of convergence (six term test) for eq 1 1.8459999717355682 Order of pole (six term test) 1.0000000000129905 TOP MAIN SOLVE Loop x[1] -1.8469999999999618 y[1] (closed_form) 0.2931339240959138 y[1] (numeric) 0.2931339240958975 absolute error 1.63202784619898e-14 relative error 5.5675161148014324e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8470002707092001 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.847005414233698 Order of pole (three term test) 2.0000205196418133 Radius of convergence (six term test) for eq 1 1.8470001008390753 Order of pole (six term test) 1.0000000000071267 TOP MAIN SOLVE Loop x[1] -1.8479999999999617 y[1] (closed_form) 0.2928167655167386 y[1] (numeric) 0.2928167655167222 absolute error 1.637578961322106e-14 relative error 5.592504098705699e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8480002705627125 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8480054113038777 Order of pole (three term test) 2.0000204974401807 Radius of convergence (six term test) for eq 1 1.848000285455629 Order of pole (six term test) 0.9999999999992246 TOP MAIN SOLVE Loop x[1] -1.8489999999999616 y[1] (closed_form) 0.29250012138756254 y[1] (numeric) 0.2925001213875461 absolute error 1.6431300764452317e-14 relative error 5.6175363916108775e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.849000270416383 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8490054083772067 Order of pole (three term test) 2.0000204752745203 Radius of convergence (six term test) for eq 1 1.8490002117347488 Order of pole (six term test) 1.000000000002223 TOP MAIN SOLVE Loop x[1] -1.8499999999999615 y[1] (closed_form) 0.29218399059636263 y[1] (numeric) 0.29218399059634614 absolute error 1.6486811915683575e-14 relative error 5.64261302682366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.850000270270212 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8500054054537052 Order of pole (three term test) 2.0000204531447436 Radius of convergence (six term test) for eq 1 1.8500002659133872 Order of pole (six term test) 1.0000000000009708 TOP MAIN SOLVE Loop x[1] -1.8509999999999613 y[1] (closed_form) 0.29186837203411875 y[1] (numeric) 0.29186837203410226 absolute error 1.6486811915683575e-14 relative error 5.6487147959136535e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8510002701241988 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8510054025333573 Order of pole (three term test) 2.0000204310508125 Radius of convergence (six term test) for eq 1 1.8510001647995635 Order of pole (six term test) 1.0000000000043032 TOP MAIN SOLVE Loop x[1] -1.8519999999999612 y[1] (closed_form) 0.2915532645948042 y[1] (numeric) 0.29155326459478764 absolute error 1.6542323066914832e-14 relative error 5.673859659882414e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8520002699783433 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8520053996161654 Order of pole (three term test) 2.0000204089927087 Radius of convergence (six term test) for eq 1 1.8520000484945236 Order of pole (six term test) 1.0000000000093143 TOP MAIN SOLVE Loop x[1] -1.8529999999999611 y[1] (closed_form) 0.2912386671753758 y[1] (numeric) 0.2912386671753592 absolute error 1.659783421814609e-14 relative error 5.6990489549766205e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.853000269832645 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8530053967021272 Order of pole (three term test) 2.0000203869703252 Radius of convergence (six term test) for eq 1 1.853000077209853 Order of pole (six term test) 1.000000000008317 TOP MAIN SOLVE Loop x[1] -1.853999999999961 y[1] (closed_form) 0.29092457867576427 y[1] (numeric) 0.29092457867574767 absolute error 1.659783421814609e-14 relative error 5.705201772121287e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8540002696871043 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.854005393791235 Order of pole (three term test) 2.000020364983605 Radius of convergence (six term test) for eq 1 1.854000404976757 Order of pole (six term test) 0.9999999999939124 TOP MAIN SOLVE Loop x[1] -1.854999999999961 y[1] (closed_form) 0.2906109979988649 y[1] (numeric) 0.29061099799884826 absolute error 1.6653345369377348e-14 relative error 5.730459440300464e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8550002695417203 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8550053908834876 Order of pole (three term test) 2.000020343032406 Radius of convergence (six term test) for eq 1 1.8549999995144655 Order of pole (six term test) 1.0000000000121814 TOP MAIN SOLVE Loop x[1] -1.8559999999999608 y[1] (closed_form) 0.29029792405052757 y[1] (numeric) 0.2902979240505109 absolute error 1.6653345369377348e-14 relative error 5.7366394967670395e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.856000269396493 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.856005387978865 Order of pole (three term test) 2.000020321116671 Radius of convergence (six term test) for eq 1 1.8560001477382775 Order of pole (six term test) 1.0000000000053912 TOP MAIN SOLVE Loop x[1] -1.8569999999999607 y[1] (closed_form) 0.2899853557395474 y[1] (numeric) 0.2899853557395307 absolute error 1.6708856520608606e-14 relative error 5.761965626849031e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.857000269251422 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8570053850773802 Order of pole (three term test) 2.0000202992363882 Radius of convergence (six term test) for eq 1 1.8570001816946353 Order of pole (six term test) 1.0000000000043663 TOP MAIN SOLVE Loop x[1] -1.8579999999999606 y[1] (closed_form) 0.2896732919776553 y[1] (numeric) 0.2896732919776386 absolute error 1.6708856520608606e-14 relative error 5.7681729670464364e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8580002691065074 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8580053821789884 Order of pole (three term test) 2.0000202773912132 Radius of convergence (six term test) for eq 1 1.8579997738732605 Order of pole (six term test) 1.0000000000204876 TOP MAIN SOLVE Loop x[1] -1.8589999999999605 y[1] (closed_form) 0.2893617316795083 y[1] (numeric) 0.28936173167949153 absolute error 1.6764367671839864e-14 relative error 5.793567647849083e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8590002689617484 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8590053792837449 Order of pole (three term test) 2.000020255581513 Radius of convergence (six term test) for eq 1 1.8590001970621195 Order of pole (six term test) 1.0000000000017142 TOP MAIN SOLVE Loop x[1] -1.8599999999999604 y[1] (closed_form) 0.2890506737626803 y[1] (numeric) 0.2890506737626635 absolute error 1.6764367671839864e-14 relative error 5.79980231618624e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8600002688171453 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8600053763916022 Order of pole (three term test) 2.0000202338068327 Radius of convergence (six term test) for eq 1 1.8599997794815386 Order of pole (six term test) 1.0000000000204787 TOP MAIN SOLVE Loop x[1] -1.8609999999999602 y[1] (closed_form) 0.28874011714765263 y[1] (numeric) 0.2887401171476358 absolute error 1.6819878823071122e-14 relative error 5.8252656365273844e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8610002686726974 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8610053735025722 Order of pole (three term test) 2.0000202120673856 Radius of convergence (six term test) for eq 1 1.861000092196649 Order of pole (six term test) 1.0000000000066036 TOP MAIN SOLVE Loop x[1] -1.8619999999999601 y[1] (closed_form) 0.28843006075780464 y[1] (numeric) 0.28843006075778777 absolute error 1.687538997430238e-14 relative error 5.850773643345269e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.862000268528405 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8620053706166488 Order of pole (three term test) 2.000020190362894 Radius of convergence (six term test) for eq 1 1.8620003198486612 Order of pole (six term test) 0.9999999999983649 TOP MAIN SOLVE Loop x[1] -1.86299999999996 y[1] (closed_form) 0.2881205035194043 y[1] (numeric) 0.2881205035193874 absolute error 1.6930901125533637e-14 relative error 5.876326369946586e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.863000268384267 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8630053677338159 Order of pole (three term test) 2.000020168693334 Radius of convergence (six term test) for eq 1 1.862999881920856 Order of pole (six term test) 1.0000000000158087 TOP MAIN SOLVE Loop x[1] -1.86399999999996 y[1] (closed_form) 0.2878114443615991 y[1] (numeric) 0.2878114443615821 absolute error 1.6986412276764895e-14 relative error 5.9019238496380254e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.864000268240284 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8640053648540928 Order of pole (three term test) 2.000020147058723 Radius of convergence (six term test) for eq 1 1.8640002482049336 Order of pole (six term test) 1.0000000000006697 TOP MAIN SOLVE Loop x[1] -1.8649999999999598 y[1] (closed_form) 0.28750288221640663 y[1] (numeric) 0.2875028822163896 absolute error 1.7041923427996153e-14 relative error 5.927566115726279e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8650002680964552 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8650053619774356 Order of pole (three term test) 2.0000201254586996 Radius of convergence (six term test) for eq 1 1.8650004424562814 Order of pole (six term test) 0.9999999999926548 TOP MAIN SOLVE Loop x[1] -1.8659999999999597 y[1] (closed_form) 0.28719481601870533 y[1] (numeric) 0.2871948160186883 absolute error 1.7041923427996153e-14 relative error 5.933924457357264e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8660002679527807 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8660053591038748 Order of pole (three term test) 2.000020103893589 Radius of convergence (six term test) for eq 1 1.8660001924183178 Order of pole (six term test) 1.0000000000027978 TOP MAIN SOLVE Loop x[1] -1.8669999999999596 y[1] (closed_form) 0.2868872447062255 y[1] (numeric) 0.28688724470620847 absolute error 1.7041923427996153e-14 relative error 5.940286207372934e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8670002678092603 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8670053562333837 Order of pole (three term test) 2.000020082362999 Radius of convergence (six term test) for eq 1 1.8670002465768845 Order of pole (six term test) 1.0000000000013891 TOP MAIN SOLVE Loop x[1] -1.8679999999999595 y[1] (closed_form) 0.28658016721954 y[1] (numeric) 0.2865801672195229 absolute error 1.709743457922741e-14 relative error 5.966021565661802e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8680002676658933 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8680053533659642 Order of pole (three term test) 2.0000200608669836 Radius of convergence (six term test) for eq 1 1.8680000635675043 Order of pole (six term test) 1.0000000000080185 TOP MAIN SOLVE Loop x[1] -1.8689999999999594 y[1] (closed_form) 0.286273582502055 y[1] (numeric) 0.2862735825020379 absolute error 1.709743457922741e-14 relative error 5.972410876964059e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8690002675226798 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8690053505016138 Order of pole (three term test) 2.0000200394054666 Radius of convergence (six term test) for eq 1 1.868999819959988 Order of pole (six term test) 1.0000000000186198 TOP MAIN SOLVE Loop x[1] -1.8699999999999593 y[1] (closed_form) 0.2859674895000011 y[1] (numeric) 0.285967489499984 absolute error 1.709743457922741e-14 relative error 5.978803607753232e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8700002673796194 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.870005347640353 Order of pole (three term test) 2.0000200179785836 Radius of convergence (six term test) for eq 1 1.8699999757072825 Order of pole (six term test) 1.0000000000120082 TOP MAIN SOLVE Loop x[1] -1.8709999999999591 y[1] (closed_form) 0.2856618871624244 y[1] (numeric) 0.2856618871624072 absolute error 1.7208456881689926e-14 relative error 6.0240646915230155e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8710002672367119 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.871005344782116 Order of pole (three term test) 2.0000199965857406 Radius of convergence (six term test) for eq 1 1.870999768775202 Order of pole (six term test) 1.0000000000204636 TOP MAIN SOLVE Loop x[1] -1.871999999999959 y[1] (closed_form) 0.2853567744411769 y[1] (numeric) 0.2853567744411597 absolute error 1.7208456881689926e-14 relative error 6.030505816933832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.872000267093957 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.87200534192695 Order of pole (three term test) 2.0000199752272985 Radius of convergence (six term test) for eq 1 1.8720000925405214 Order of pole (six term test) 1.0000000000081668 TOP MAIN SOLVE Loop x[1] -1.872999999999959 y[1] (closed_form) 0.2850521502909082 y[1] (numeric) 0.285052150290891 absolute error 1.7208456881689926e-14 relative error 6.036950384036024e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8730002669513548 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.873005339074818 Order of pole (three term test) 2.0000199539029837 Radius of convergence (six term test) for eq 1 1.8730003350161737 Order of pole (six term test) 0.9999999999971951 TOP MAIN SOLVE Loop x[1] -1.8739999999999588 y[1] (closed_form) 0.28474801366905617 y[1] (numeric) 0.2847480136690389 absolute error 1.7263968032921184e-14 relative error 6.0628932263548484e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8740002668089046 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8740053362257578 Order of pole (three term test) 2.000019932613005 Radius of convergence (six term test) for eq 1 1.8740002717166744 Order of pole (six term test) 0.9999999999995515 TOP MAIN SOLVE Loop x[1] -1.8749999999999587 y[1] (closed_form) 0.284444363535838 y[1] (numeric) 0.2844443635358207 absolute error 1.7319479184152442e-14 relative error 6.088881132626243e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8750002666666064 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.87500533337971 Order of pole (three term test) 2.0000199113569286 Radius of convergence (six term test) for eq 1 1.8750003301873783 Order of pole (six term test) 0.9999999999968017 TOP MAIN SOLVE Loop x[1] -1.8759999999999586 y[1] (closed_form) 0.2841411988542416 y[1] (numeric) 0.28414119885422423 absolute error 1.73749903353837e-14 relative error 6.114914136156898e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.87600026652446 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.876005330536724 Order of pole (three term test) 2.0000198901349395 Radius of convergence (six term test) for eq 1 1.8760001412470773 Order of pole (six term test) 1.0000000000048388 TOP MAIN SOLVE Loop x[1] -1.8769999999999585 y[1] (closed_form) 0.2838385185900163 y[1] (numeric) 0.283838518589999 absolute error 1.7319479184152442e-14 relative error 6.1018776698060305e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.877000266382465 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.877005327696739 Order of pole (three term test) 2.000019868946711 Radius of convergence (six term test) for eq 1 1.8770001124405664 Order of pole (six term test) 1.0000000000062945 TOP MAIN SOLVE Loop x[1] -1.8779999999999584 y[1] (closed_form) 0.28353632171166465 y[1] (numeric) 0.2835363217116473 absolute error 1.73749903353837e-14 relative error 6.127959278900702e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.878000266240621 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8780053248597932 Order of pole (three term test) 2.000019847792405 Radius of convergence (six term test) for eq 1 1.8780001840588687 Order of pole (six term test) 1.000000000003797 TOP MAIN SOLVE Loop x[1] -1.8789999999999583 y[1] (closed_form) 0.2832346071904329 y[1] (numeric) 0.2832346071904155 absolute error 1.7430501486614958e-14 relative error 6.154086062970247e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8790002660989282 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8790053220258691 Order of pole (three term test) 2.000019826671957 Radius of convergence (six term test) for eq 1 1.8789996897376768 Order of pole (six term test) 1.000000000023813 TOP MAIN SOLVE Loop x[1] -1.8799999999999581 y[1] (closed_form) 0.2829333740003029 y[1] (numeric) 0.28293337400028545 absolute error 1.7430501486614958e-14 relative error 6.160638188479065e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8800002659573862 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8800053191949593 Order of pole (three term test) 2.0000198055850436 Radius of convergence (six term test) for eq 1 1.8800000252290727 Order of pole (six term test) 1.0000000000101084 TOP MAIN SOLVE Loop x[1] -1.880999999999958 y[1] (closed_form) 0.2826326211179829 y[1] (numeric) 0.28263262111796544 absolute error 1.7430501486614958e-14 relative error 6.167193800088181e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8810002658159946 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8810053163670428 Order of pole (three term test) 2.00001978453181 Radius of convergence (six term test) for eq 1 1.8809999739640597 Order of pole (six term test) 1.000000000011866 TOP MAIN SOLVE Loop x[1] -1.881999999999958 y[1] (closed_form) 0.28233234752289915 y[1] (numeric) 0.2823323475228817 absolute error 1.7430501486614958e-14 relative error 6.173752897797593e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8820002656747532 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8820053135421426 Order of pole (three term test) 2.0000197635120207 Radius of convergence (six term test) for eq 1 1.8819999973182553 Order of pole (six term test) 1.0000000000103944 TOP MAIN SOLVE Loop x[1] -1.8829999999999578 y[1] (closed_form) 0.2820325521971872 y[1] (numeric) 0.2820325521971697 absolute error 1.7486012637846216e-14 relative error 6.199998014988218e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.883000265533662 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.883005310720241 Order of pole (three term test) 2.0000197425258497 Radius of convergence (six term test) for eq 1 1.882999842297788 Order of pole (six term test) 1.000000000016703 TOP MAIN SOLVE Loop x[1] -1.8839999999999577 y[1] (closed_form) 0.28173323412568313 y[1] (numeric) 0.2817332341256656 absolute error 1.7541523789077473e-14 relative error 6.226288440380477e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8840002653927204 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8840053079013472 Order of pole (three term test) 2.0000197215731057 Radius of convergence (six term test) for eq 1 1.8839998619826182 Order of pole (six term test) 1.000000000016704 TOP MAIN SOLVE Loop x[1] -1.8849999999999576 y[1] (closed_form) 0.28143439229591505 y[1] (numeric) 0.28143439229589745 absolute error 1.759703494030873e-14 relative error 6.2526242072810615e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8850002652519282 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.885005305085428 Order of pole (three term test) 2.0000197006536364 Radius of convergence (six term test) for eq 1 1.8850001533271106 Order of pole (six term test) 1.0000000000052554 TOP MAIN SOLVE Loop x[1] -1.8859999999999575 y[1] (closed_form) 0.28113602569809454 y[1] (numeric) 0.2811360256980769 absolute error 1.765254609153999e-14 relative error 6.279005348996663e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8860002651112857 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8860053022725134 Order of pole (three term test) 2.0000196797674867 Radius of convergence (six term test) for eq 1 1.8860001335798664 Order of pole (six term test) 1.0000000000041211 TOP MAIN SOLVE Loop x[1] -1.8869999999999574 y[1] (closed_form) 0.2808381333251081 y[1] (numeric) 0.28083813332509044 absolute error 1.765254609153999e-14 relative error 6.2856656546370006e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.887000264970792 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.887005299462575 Order of pole (three term test) 2.00001965891453 Radius of convergence (six term test) for eq 1 1.8870001309922557 Order of pole (six term test) 1.0000000000049836 TOP MAIN SOLVE Loop x[1] -1.8879999999999573 y[1] (closed_form) 0.28054071417250875 y[1] (numeric) 0.2805407141724911 absolute error 1.765254609153999e-14 relative error 6.292329490786557e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8880002648304473 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8880052966556053 Order of pole (three term test) 2.0000196380946913 Radius of convergence (six term test) for eq 1 1.8880002438085781 Order of pole (six term test) 1.0000000000012426 TOP MAIN SOLVE Loop x[1] -1.8889999999999572 y[1] (closed_form) 0.28024376723850747 y[1] (numeric) 0.28024376723848976 absolute error 1.7708057242771247e-14 relative error 6.318805023663711e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8890002646902508 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.889005293851604 Order of pole (three term test) 2.000019617307817 Radius of convergence (six term test) for eq 1 1.8889995337054437 Order of pole (six term test) 1.000000000029802 TOP MAIN SOLVE Loop x[1] -1.889999999999957 y[1] (closed_form) 0.2799472915239646 y[1] (numeric) 0.2799472915239469 absolute error 1.7708057242771247e-14 relative error 6.325496898495754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8900002645502032 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8900052910505774 Order of pole (three term test) 2.000019596554025 Radius of convergence (six term test) for eq 1 1.8900000485629338 Order of pole (six term test) 1.0000000000092983 TOP MAIN SOLVE Loop x[1] -1.890999999999957 y[1] (closed_form) 0.27965128603238176 y[1] (numeric) 0.27965128603236405 absolute error 1.7708057242771247e-14 relative error 6.332192314939246e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8910002644103034 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8910052882525135 Order of pole (three term test) 2.0000195758331305 Radius of convergence (six term test) for eq 1 1.8910000243214085 Order of pole (six term test) 1.0000000000096554 TOP MAIN SOLVE Loop x[1] -1.8919999999999568 y[1] (closed_form) 0.2793557497698934 y[1] (numeric) 0.27935574976987565 absolute error 1.7763568394002505e-14 relative error 6.358762405511408e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8920002642705516 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8920052854574034 Order of pole (three term test) 2.0000195551450464 Radius of convergence (six term test) for eq 1 1.8920001328769076 Order of pole (six term test) 1.0000000000059153 TOP MAIN SOLVE Loop x[1] -1.8929999999999567 y[1] (closed_form) 0.2790606817452583 y[1] (numeric) 0.27906068174524046 absolute error 1.7819079545233762e-14 relative error 6.385378059636501e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8930002641309474 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8930052826652544 Order of pole (three term test) 2.000019534489823 Radius of convergence (six term test) for eq 1 1.8930001732041888 Order of pole (six term test) 1.0000000000034976 TOP MAIN SOLVE Loop x[1] -1.8939999999999566 y[1] (closed_form) 0.2787660809698511 y[1] (numeric) 0.2787660809698333 absolute error 1.7819079545233762e-14 relative error 6.39212614506028e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8940002639914906 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8940052798760374 Order of pole (three term test) 2.0000195138671897 Radius of convergence (six term test) for eq 1 1.8940002600172645 Order of pole (six term test) 1.0000000000002025 TOP MAIN SOLVE Loop x[1] -1.8949999999999565 y[1] (closed_form) 0.2784719464576547 y[1] (numeric) 0.27847194645763684 absolute error 1.787459069646502e-14 relative error 6.418811993036104e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8950002638521808 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8950052770897803 Order of pole (three term test) 2.0000194932772914 Radius of convergence (six term test) for eq 1 1.8950002497999308 Order of pole (six term test) 1.0000000000007407 TOP MAIN SOLVE Loop x[1] -1.8959999999999564 y[1] (closed_form) 0.27817827722525124 y[1] (numeric) 0.27817827722523336 absolute error 1.787459069646502e-14 relative error 6.425588250369134e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8960002637130182 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8960052743064573 Order of pole (three term test) 2.000019472719923 Radius of convergence (six term test) for eq 1 1.8960000594985584 Order of pole (six term test) 1.000000000008173 TOP MAIN SOLVE Loop x[1] -1.8969999999999563 y[1] (closed_form) 0.27788507229181436 y[1] (numeric) 0.27788507229179643 absolute error 1.7930101847696278e-14 relative error 6.452344381013533e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8970002635740022 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.897005271526084 Order of pole (three term test) 2.000019452195157 Radius of convergence (six term test) for eq 1 1.8970002353253024 Order of pole (six term test) 1.0000000000010427 TOP MAIN SOLVE Loop x[1] -1.8979999999999562 y[1] (closed_form) 0.27759233067910083 y[1] (numeric) 0.27759233067908284 absolute error 1.7985612998927536e-14 relative error 6.479146219539856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8980002634351327 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8980052687486177 Order of pole (three term test) 2.0000194317027473 Radius of convergence (six term test) for eq 1 1.8980001376133249 Order of pole (six term test) 1.0000000000047269 TOP MAIN SOLVE Loop x[1] -1.898999999999956 y[1] (closed_form) 0.27730005141144237 y[1] (numeric) 0.27730005141142433 absolute error 1.8041124150158794e-14 relative error 6.505993799254793e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.8990002632964096 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.899005265974086 Order of pole (three term test) 2.0000194112426857 Radius of convergence (six term test) for eq 1 1.8990000993470373 Order of pole (six term test) 1.000000000005615 TOP MAIN SOLVE Loop x[1] -1.899999999999956 y[1] (closed_form) 0.2770082335157376 y[1] (numeric) 0.27700823351571957 absolute error 1.8041124150158794e-14 relative error 6.512847622319438e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9000002631578325 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9000052632024642 Order of pole (three term test) 2.000019390814856 Radius of convergence (six term test) for eq 1 1.9000000549413072 Order of pole (six term test) 1.0000000000084937 TOP MAIN SOLVE Loop x[1] -1.9009999999999558 y[1] (closed_form) 0.276716876021444 y[1] (numeric) 0.2767168760214259 absolute error 1.8096635301390052e-14 relative error 6.5397656845430935e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9010002630194012 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9010052604337808 Order of pole (three term test) 2.000019370419421 Radius of convergence (six term test) for eq 1 1.901000122338379 Order of pole (six term test) 1.0000000000050804 TOP MAIN SOLVE Loop x[1] -1.9019999999999557 y[1] (closed_form) 0.2764259779605696 y[1] (numeric) 0.2764259779605515 absolute error 1.8096635301390052e-14 relative error 6.546647834948212e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9020002628811152 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9020052576679807 Order of pole (three term test) 2.000019350055949 Radius of convergence (six term test) for eq 1 1.9019999641579735 Order of pole (six term test) 1.0000000000124007 TOP MAIN SOLVE Loop x[1] -1.9029999999999556 y[1] (closed_form) 0.27613553836766525 y[1] (numeric) 0.2761355383676471 absolute error 1.815214645262131e-14 relative error 6.573636468498428e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9030002627429747 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9030052549051146 Order of pole (three term test) 2.0000193297247666 Radius of convergence (six term test) for eq 1 1.903000244639438 Order of pole (six term test) 1.0000000000004112 TOP MAIN SOLVE Loop x[1] -1.9039999999999555 y[1] (closed_form) 0.2758455562798163 y[1] (numeric) 0.27584555627979807 absolute error 1.8207657603852567e-14 relative error 6.6006709875662505e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9040002626049795 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.90400525214511 Order of pole (three term test) 2.0000193094252823 Radius of convergence (six term test) for eq 1 1.9040005254687813 Order of pole (six term test) 0.9999999999897566 TOP MAIN SOLVE Loop x[1] -1.9049999999999554 y[1] (closed_form) 0.2755560307366348 y[1] (numeric) 0.27555603073661655 absolute error 1.8263168755083825e-14 relative error 6.627751425458373e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.905000262467129 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.905005249388051 Order of pole (three term test) 2.000019289158173 Radius of convergence (six term test) for eq 1 1.9049998895017364 Order of pole (six term test) 1.0000000000141895 TOP MAIN SOLVE Loop x[1] -1.9059999999999553 y[1] (closed_form) 0.2752669607802516 y[1] (numeric) 0.2752669607802333 absolute error 1.8263168755083825e-14 relative error 6.634711519070935e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9060002623294232 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9060052466338846 Order of pole (three term test) 2.000019268922876 Radius of convergence (six term test) for eq 1 1.9060002362847988 Order of pole (six term test) 1.0000000000013332 TOP MAIN SOLVE Loop x[1] -1.9069999999999552 y[1] (closed_form) 0.2749783454553083 y[1] (numeric) 0.27497834545529 absolute error 1.8318679906315083e-14 relative error 6.661862728129762e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9070002621918616 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9070052438825722 Order of pole (three term test) 2.0000192487192425 Radius of convergence (six term test) for eq 1 1.9070000931859779 Order of pole (six term test) 1.0000000000058202 TOP MAIN SOLVE Loop x[1] -1.907999999999955 y[1] (closed_form) 0.2746901838089494 y[1] (numeric) 0.27469018380893107 absolute error 1.8318679906315083e-14 relative error 6.668851304514021e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9080002620544445 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9080052411341621 Order of pole (three term test) 2.0000192285474743 Radius of convergence (six term test) for eq 1 1.9080000391755172 Order of pole (six term test) 1.0000000000077085 TOP MAIN SOLVE Loop x[1] -1.908999999999955 y[1] (closed_form) 0.2744024748908145 y[1] (numeric) 0.2744024748907961 absolute error 1.837419105754634e-14 relative error 6.696073373557393e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.909000261917171 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9090052383886227 Order of pole (three term test) 2.00001920840732 Radius of convergence (six term test) for eq 1 1.9090000424816085 Order of pole (six term test) 1.0000000000081624 TOP MAIN SOLVE Loop x[1] -1.9099999999999548 y[1] (closed_form) 0.2741152177530302 y[1] (numeric) 0.2741152177530118 absolute error 1.84297022087776e-14 relative error 6.7233415057540585e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9100002617800418 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9100052356459747 Order of pole (three term test) 2.0000191882988494 Radius of convergence (six term test) for eq 1 1.9099998854523375 Order of pole (six term test) 1.000000000014694 TOP MAIN SOLVE Loop x[1] -1.9109999999999547 y[1] (closed_form) 0.27382841145020276 y[1] (numeric) 0.27382841145018433 absolute error 1.84297022087776e-14 relative error 6.7303834949680316e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9110002616430557 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9110052329061746 Order of pole (three term test) 2.0000191682218422 Radius of convergence (six term test) for eq 1 1.911000294924484 Order of pole (six term test) 0.9999999999977236 TOP MAIN SOLVE Loop x[1] -1.9119999999999546 y[1] (closed_form) 0.27354205503940987 y[1] (numeric) 0.2735420550393914 absolute error 1.8485213360008856e-14 relative error 6.757722631478237e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.912000261506213 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9120052301692683 Order of pole (three term test) 2.000019148176523 Radius of convergence (six term test) for eq 1 1.912000222744934 Order of pole (six term test) 1.0000000000016156 TOP MAIN SOLVE Loop x[1] -1.9129999999999545 y[1] (closed_form) 0.2732561475801932 y[1] (numeric) 0.27325614758017464 absolute error 1.8540724511240114e-14 relative error 6.785107919959576e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9130002613695132 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9130052274352074 Order of pole (three term test) 2.000019128162558 Radius of convergence (six term test) for eq 1 1.9129996016203612 Order of pole (six term test) 1.0000000000255218 TOP MAIN SOLVE Loop x[1] -1.9139999999999544 y[1] (closed_form) 0.2729706881345504 y[1] (numeric) 0.27297068813453185 absolute error 1.8540724511240114e-14 relative error 6.7922034552300276e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9140002612329565 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9140052247039951 Order of pole (three term test) 2.000019108179715 Radius of convergence (six term test) for eq 1 1.914000342434825 Order of pole (six term test) 0.9999999999966489 TOP MAIN SOLVE Loop x[1] -1.9149999999999543 y[1] (closed_form) 0.27268567576692787 y[1] (numeric) 0.2726856757669092 absolute error 1.865174681370263e-14 relative error 6.840017086062417e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9150002610965422 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9150052219756446 Order of pole (three term test) 2.000019088228409 Radius of convergence (six term test) for eq 1 1.9150001134032464 Order of pole (six term test) 1.0000000000056097 TOP MAIN SOLVE Loop x[1] -1.9159999999999542 y[1] (closed_form) 0.2724011095442124 y[1] (numeric) 0.2724011095441938 absolute error 1.865174681370263e-14 relative error 6.847162570266746e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9160002609602704 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.916005219250159 Order of pole (three term test) 2.000019068308487 Radius of convergence (six term test) for eq 1 1.915999719968592 Order of pole (six term test) 1.0000000000209859 TOP MAIN SOLVE Loop x[1] -1.916999999999954 y[1] (closed_form) 0.2721169885357243 y[1] (numeric) 0.27211698853570565 absolute error 1.865174681370263e-14 relative error 6.854311784820437e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9170002608241408 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9170052165274953 Order of pole (three term test) 2.000019048419403 Radius of convergence (six term test) for eq 1 1.9170004643399425 Order of pole (six term test) 0.9999999999910871 TOP MAIN SOLVE Loop x[1] -1.917999999999954 y[1] (closed_form) 0.2718333118132092 y[1] (numeric) 0.2718333118131905 absolute error 1.8707257964933888e-14 relative error 6.881885755704811e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9180002606881532 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9180052138076777 Order of pole (three term test) 2.0000190285616126 Radius of convergence (six term test) for eq 1 1.9180001414397538 Order of pole (six term test) 1.0000000000042677 TOP MAIN SOLVE Loop x[1] -1.9189999999999539 y[1] (closed_form) 0.2715500784508307 y[1] (numeric) 0.27155007845081197 absolute error 1.8707257964933888e-14 relative error 6.889063730585956e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9190002605523073 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9190052110906841 Order of pole (three term test) 2.000019008734721 Radius of convergence (six term test) for eq 1 1.9190000024384417 Order of pole (six term test) 1.000000000010158 TOP MAIN SOLVE Loop x[1] -1.9199999999999537 y[1] (closed_form) 0.27126728752516294 y[1] (numeric) 0.2712672875251442 absolute error 1.8762769116165146e-14 relative error 6.916709083259698e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9200002604166027 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9200052083765178 Order of pole (three term test) 2.000018988938856 Radius of convergence (six term test) for eq 1 1.9200001009707013 Order of pole (six term test) 1.0000000000064242 TOP MAIN SOLVE Loop x[1] -1.9209999999999536 y[1] (closed_form) 0.27098493811518276 y[1] (numeric) 0.27098493811516394 absolute error 1.8818280267396403e-14 relative error 6.944400821051409e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9210002602810397 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9210052056651838 Order of pole (three term test) 2.0000189691738792 Radius of convergence (six term test) for eq 1 1.9210001951951616 Order of pole (six term test) 1.0000000000022133 TOP MAIN SOLVE Loop x[1] -1.9219999999999535 y[1] (closed_form) 0.2707030293022625 y[1] (numeric) 0.27070302930224366 absolute error 1.8818280267396403e-14 relative error 6.951632686158169e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9220002601456174 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9220052029566927 Order of pole (three term test) 2.0000189494398755 Radius of convergence (six term test) for eq 1 1.9219998990217229 Order of pole (six term test) 1.0000000000133706 TOP MAIN SOLVE Loop x[1] -1.9229999999999534 y[1] (closed_form) 0.27042156017016233 y[1] (numeric) 0.27042156017014346 absolute error 1.887379141862766e-14 relative error 6.979395950068241e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9230002600103362 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9230052002510043 Order of pole (three term test) 2.0000189297365543 Radius of convergence (six term test) for eq 1 1.9229999192030112 Order of pole (six term test) 1.0000000000129017 TOP MAIN SOLVE Loop x[1] -1.9239999999999533 y[1] (closed_form) 0.27014052980502296 y[1] (numeric) 0.2701405298050041 absolute error 1.887379141862766e-14 relative error 6.9866566976269866e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9240002598751957 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9240051975481174 Order of pole (three term test) 2.0000189100639254 Radius of convergence (six term test) for eq 1 1.9240002674126881 Order of pole (six term test) 0.9999999999997593 TOP MAIN SOLVE Loop x[1] -1.9249999999999532 y[1] (closed_form) 0.2698599372953581 y[1] (numeric) 0.2698599372953392 absolute error 1.892930256985892e-14 relative error 7.014491576473261e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9250002597401954 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.925005194848048 Order of pole (three term test) 2.000018890421943 Radius of convergence (six term test) for eq 1 1.9250000980826119 Order of pole (six term test) 1.000000000006339 TOP MAIN SOLVE Loop x[1] -1.925999999999953 y[1] (closed_form) 0.26957978173204705 y[1] (numeric) 0.2695797817320281 absolute error 1.892930256985892e-14 relative error 7.0217812508929135e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9260002596053354 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9260051921507846 Order of pole (three term test) 2.0000188708106483 Radius of convergence (six term test) for eq 1 1.9259999422401288 Order of pole (six term test) 1.000000000013002 TOP MAIN SOLVE Loop x[1] -1.926999999999953 y[1] (closed_form) 0.26930006220832753 y[1] (numeric) 0.26930006220830854 absolute error 1.8984813721090177e-14 relative error 7.0496878334932344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9270002594706153 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9270051894563258 Order of pole (three term test) 2.0000188512298225 Radius of convergence (six term test) for eq 1 1.9269999305803311 Order of pole (six term test) 1.000000000012867 TOP MAIN SOLVE Loop x[1] -1.9279999999999529 y[1] (closed_form) 0.26902077781978806 y[1] (numeric) 0.2690207778197691 absolute error 1.8984813721090177e-14 relative error 7.057006479182714e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.928000259336035 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9280051867646537 Order of pole (three term test) 2.0000188316794465 Radius of convergence (six term test) for eq 1 1.9280001530442623 Order of pole (six term test) 1.0000000000044196 TOP MAIN SOLVE Loop x[1] -1.9289999999999528 y[1] (closed_form) 0.26874192766436095 y[1] (numeric) 0.2687419276643419 absolute error 1.9040324872321435e-14 relative error 7.0849848543549225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9290002592015942 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9290051840757654 Order of pole (three term test) 2.000018812159453 Radius of convergence (six term test) for eq 1 1.9290002370992725 Order of pole (six term test) 1.000000000000985 TOP MAIN SOLVE Loop x[1] -1.9299999999999526 y[1] (closed_form) 0.26846351084231473 y[1] (numeric) 0.2684635108422957 absolute error 1.9040324872321435e-14 relative error 7.092332515723151e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.930000259067293 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9300051813896784 Order of pole (three term test) 2.00001879266981 Radius of convergence (six term test) for eq 1 1.9299998154447695 Order of pole (six term test) 1.00000000001564 TOP MAIN SOLVE Loop x[1] -1.9309999999999525 y[1] (closed_form) 0.26818552645624716 y[1] (numeric) 0.2681855264562281 absolute error 1.9040324872321435e-14 relative error 7.099683985156353e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9310002589331303 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.931005178706356 Order of pole (three term test) 2.000018773210385 Radius of convergence (six term test) for eq 1 1.931000167431074 Order of pole (six term test) 1.0000000000029177 TOP MAIN SOLVE Loop x[1] -1.9319999999999524 y[1] (closed_form) 0.26790797361107777 y[1] (numeric) 0.2679079736110587 absolute error 1.9040324872321435e-14 relative error 7.10703926265453e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.932000258799107 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9320051760258266 Order of pole (three term test) 2.000018753781264 Radius of convergence (six term test) for eq 1 1.9320001064729682 Order of pole (six term test) 1.0000000000054792 TOP MAIN SOLVE Loop x[1] -1.9329999999999523 y[1] (closed_form) 0.2676308514140408 y[1] (numeric) 0.2676308514140217 absolute error 1.9095836023552692e-14 relative error 7.135140034364088e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9330002586652222 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9330051733480642 Order of pole (three term test) 2.00001873438221 Radius of convergence (six term test) for eq 1 1.932999850921827 Order of pole (six term test) 1.000000000015218 TOP MAIN SOLVE Loop x[1] -1.9339999999999522 y[1] (closed_form) 0.2673541589746779 y[1] (numeric) 0.2673541589746588 absolute error 1.9095836023552692e-14 relative error 7.142524394154395e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9340002585314757 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.934005170673078 Order of pole (three term test) 2.000018715013389 Radius of convergence (six term test) for eq 1 1.9340000310664864 Order of pole (six term test) 1.0000000000085345 TOP MAIN SOLVE Loop x[1] -1.934999999999952 y[1] (closed_form) 0.2670778954048312 y[1] (numeric) 0.267077895404812 absolute error 1.915134717478395e-14 relative error 7.170697202684907e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9350002583978676 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9350051680008489 Order of pole (three term test) 2.000018695674411 Radius of convergence (six term test) for eq 1 1.9349999477345723 Order of pole (six term test) 1.0000000000118856 TOP MAIN SOLVE Loop x[1] -1.935999999999952 y[1] (closed_form) 0.26680205981863586 y[1] (numeric) 0.26680205981861665 absolute error 1.9206858326015208e-14 relative error 7.198916807115905e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9360002582643976 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9360051653313897 Order of pole (three term test) 2.0000186763655217 Radius of convergence (six term test) for eq 1 1.9360001747963798 Order of pole (six term test) 1.0000000000028093 TOP MAIN SOLVE Loop x[1] -1.9369999999999519 y[1] (closed_form) 0.26652665133251324 y[1] (numeric) 0.266526651332494 absolute error 1.9262369477246466e-14 relative error 7.227183240754083e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9370002581310652 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9370051626646743 Order of pole (three term test) 2.0000186570864247 Radius of convergence (six term test) for eq 1 1.937000251691546 Order of pole (six term test) 1.000000000000071 TOP MAIN SOLVE Loop x[1] -1.9379999999999518 y[1] (closed_form) 0.2662516690651637 y[1] (numeric) 0.2662516690651444 absolute error 1.9262369477246466e-14 relative error 7.234647408926516e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9380002579978708 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9380051600007289 Order of pole (three term test) 2.0000186378372686 Radius of convergence (six term test) for eq 1 1.9379999005153572 Order of pole (six term test) 1.0000000000127507 TOP MAIN SOLVE Loop x[1] -1.9389999999999517 y[1] (closed_form) 0.2659771121375596 y[1] (numeric) 0.2659771121375403 absolute error 1.9317880628477724e-14 relative error 7.26298607922579e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9390002578648133 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.93900515733951 Order of pole (three term test) 2.0000186186177635 Radius of convergence (six term test) for eq 1 1.938999730610766 Order of pole (six term test) 1.0000000000194262 TOP MAIN SOLVE Loop x[1] -1.9399999999999515 y[1] (closed_form) 0.2657029796729382 y[1] (numeric) 0.26570297967291884 absolute error 1.9373391779708982e-14 relative error 7.291371667550086e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9400002577318933 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9400051546810388 Order of pole (three term test) 2.0000185994280515 Radius of convergence (six term test) for eq 1 1.940000197692379 Order of pole (six term test) 1.0000000000029132 TOP MAIN SOLVE Loop x[1] -1.9409999999999514 y[1] (closed_form) 0.2654292707967948 y[1] (numeric) 0.26542927079677536 absolute error 1.942890293094024e-14 relative error 7.319804207206093e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.94100025759911 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9410051520253118 Order of pole (three term test) 2.0000185802679535 Radius of convergence (six term test) for eq 1 1.9410002036009923 Order of pole (six term test) 1.0000000000024114 TOP MAIN SOLVE Loop x[1] -1.9419999999999513 y[1] (closed_form) 0.2651559846368755 y[1] (numeric) 0.2651559846368561 absolute error 1.942890293094024e-14 relative error 7.327348450214177e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9420002574664637 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9420051493723252 Order of pole (three term test) 2.0000185611374954 Radius of convergence (six term test) for eq 1 1.941999887421048 Order of pole (six term test) 1.0000000000137295 TOP MAIN SOLVE Loop x[1] -1.9429999999999512 y[1] (closed_form) 0.2648831203231707 y[1] (numeric) 0.2648831203231512 absolute error 1.9484414082171497e-14 relative error 7.355853426371426e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9430002573339538 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9430051467220675 Order of pole (three term test) 2.0000185420365164 Radius of convergence (six term test) for eq 1 1.9430000764996789 Order of pole (six term test) 1.000000000006902 TOP MAIN SOLVE Loop x[1] -1.943999999999951 y[1] (closed_form) 0.26461067698790763 y[1] (numeric) 0.2646106769878881 absolute error 1.9539925233402755e-14 relative error 7.384405442678227e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9440002572015802 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9440051440745287 Order of pole (three term test) 2.0000185229650205 Radius of convergence (six term test) for eq 1 1.9440002889804018 Order of pole (six term test) 0.9999999999988756 TOP MAIN SOLVE Loop x[1] -1.944999999999951 y[1] (closed_form) 0.2643386537655439 y[1] (numeric) 0.2643386537655243 absolute error 1.9595436384634013e-14 relative error 7.413004532441273e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9450002570693428 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9450051414297076 Order of pole (three term test) 2.000018503922904 Radius of convergence (six term test) for eq 1 1.9449998351477884 Order of pole (six term test) 1.0000000000162128 TOP MAIN SOLVE Loop x[1] -1.9459999999999509 y[1] (closed_form) 0.2640670497927603 y[1] (numeric) 0.2640670497927407 absolute error 1.9595436384634013e-14 relative error 7.420629116738534e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9460002569372412 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.946005138787619 Order of pole (three term test) 2.0000184849101923 Radius of convergence (six term test) for eq 1 1.9460003691895413 Order of pole (six term test) 0.9999999999960165 TOP MAIN SOLVE Loop x[1] -1.9469999999999508 y[1] (closed_form) 0.26379586420845424 y[1] (numeric) 0.26379586420843465 absolute error 1.9595436384634013e-14 relative error 7.428257620123071e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9470002568052756 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9470051361482525 Order of pole (three term test) 2.000018465926841 Radius of convergence (six term test) for eq 1 1.9469999457251645 Order of pole (six term test) 1.0000000000112577 TOP MAIN SOLVE Loop x[1] -1.9479999999999507 y[1] (closed_form) 0.2635250961537328 y[1] (numeric) 0.26352509615371317 absolute error 1.965094753586527e-14 relative error 7.456954886908184e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9480002566734451 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9480051335115791 Order of pole (three term test) 2.0000184469725815 Radius of convergence (six term test) for eq 1 1.9480001556205369 Order of pole (six term test) 1.0000000000034213 TOP MAIN SOLVE Loop x[1] -1.9489999999999505 y[1] (closed_form) 0.26325474477190575 y[1] (numeric) 0.2632547447718861 absolute error 1.965094753586527e-14 relative error 7.46461286116291e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9490002565417501 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9490051308776164 Order of pole (three term test) 2.0000184280476088 Radius of convergence (six term test) for eq 1 1.9490002612316188 Order of pole (six term test) 1.00000000000058 TOP MAIN SOLVE Loop x[1] -1.9499999999999504 y[1] (closed_form) 0.26298480920847905 y[1] (numeric) 0.26298480920845935 absolute error 1.970645868709653e-14 relative error 7.493382886413942e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.95000025641019 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.950005128246353 Order of pole (three term test) 2.0000184091516724 Radius of convergence (six term test) for eq 1 1.9500002961247263 Order of pole (six term test) 0.9999999999985079 TOP MAIN SOLVE Loop x[1] -1.9509999999999503 y[1] (closed_form) 0.26271528861114796 y[1] (numeric) 0.26271528861112825 absolute error 1.970645868709653e-14 relative error 7.50107037594778e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.951000256278765 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9510051256177827 Order of pole (three term test) 2.0000183902847652 Radius of convergence (six term test) for eq 1 1.9509999801426567 Order of pole (six term test) 1.0000000000099831 TOP MAIN SOLVE Loop x[1] -1.9519999999999502 y[1] (closed_form) 0.2624461821297904 y[1] (numeric) 0.2624461821297706 absolute error 1.9761969838327786e-14 relative error 7.529913248482572e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9520002561474745 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.952005122991916 Order of pole (three term test) 2.000018371446828 Radius of convergence (six term test) for eq 1 1.951999971986758 Order of pole (six term test) 1.0000000000097957 TOP MAIN SOLVE Loop x[1] -1.95299999999995 y[1] (closed_form) 0.26217748891646003 y[1] (numeric) 0.2621774889164402 absolute error 1.9817480989559044e-14 relative error 7.558803416518215e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9530002560163184 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9530051203687337 Order of pole (three term test) 2.000018352637896 Radius of convergence (six term test) for eq 1 1.9529999383809298 Order of pole (six term test) 1.0000000000111893 TOP MAIN SOLVE Loop x[1] -1.95399999999995 y[1] (closed_form) 0.26190920812537993 y[1] (numeric) 0.26190920812536006 absolute error 1.9872992140790302e-14 relative error 7.587740913361396e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9540002558852967 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.954005117748236 Order of pole (three term test) 2.0000183338578084 Radius of convergence (six term test) for eq 1 1.9539998649608685 Order of pole (six term test) 1.0000000000136282 TOP MAIN SOLVE Loop x[1] -1.9549999999999499 y[1] (closed_form) 0.2616413389129355 y[1] (numeric) 0.26164133891291563 absolute error 1.9872992140790302e-14 relative error 7.59550926598923e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9550002557544088 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9550051151304284 Order of pole (three term test) 2.0000183151065705 Radius of convergence (six term test) for eq 1 1.9550001619932087 Order of pole (six term test) 1.0000000000034532 TOP MAIN SOLVE Loop x[1] -1.9559999999999498 y[1] (closed_form) 0.2613738804376683 y[1] (numeric) 0.2613738804376484 absolute error 1.9872992140790302e-14 relative error 7.603281593215493e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.956000255623655 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.956005112515279 Order of pole (three term test) 2.00001829638396 Radius of convergence (six term test) for eq 1 1.9559998795531461 Order of pole (six term test) 1.000000000014034 TOP MAIN SOLVE Loop x[1] -1.9569999999999497 y[1] (closed_form) 0.26110683186026906 y[1] (numeric) 0.26110683186024913 absolute error 1.992850329202156e-14 relative error 7.632317833294484e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9570002554930348 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9570051099028243 Order of pole (three term test) 2.000018277690174 Radius of convergence (six term test) for eq 1 1.9570005464802567 Order of pole (six term test) 0.9999999999890905 TOP MAIN SOLVE Loop x[1] -1.9579999999999496 y[1] (closed_form) 0.26084019234357125 y[1] (numeric) 0.2608401923435513 absolute error 1.992850329202156e-14 relative error 7.64011984233331e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9580002553625477 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9580051072930116 Order of pole (three term test) 2.0000182590249014 Radius of convergence (six term test) for eq 1 1.9579999965349983 Order of pole (six term test) 1.000000000009038 TOP MAIN SOLVE Loop x[1] -1.9589999999999494 y[1] (closed_form) 0.26057396105254466 y[1] (numeric) 0.26057396105252467 absolute error 1.9984014443252818e-14 relative error 7.66922925166074e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9590002552321941 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.959005104685878 Order of pole (three term test) 2.000018240388345 Radius of convergence (six term test) for eq 1 1.9590003969335517 Order of pole (six term test) 0.9999999999946807 TOP MAIN SOLVE Loop x[1] -1.9599999999999493 y[1] (closed_form) 0.2603081371542884 y[1] (numeric) 0.2603081371542685 absolute error 1.992850329202156e-14 relative error 7.655735817512937e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9600002551019737 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9600051020814135 Order of pole (three term test) 2.000018221780247 Radius of convergence (six term test) for eq 1 1.9600001230631183 Order of pole (six term test) 1.0000000000046319 TOP MAIN SOLVE Loop x[1] -1.9609999999999492 y[1] (closed_form) 0.2600427198180252 y[1] (numeric) 0.26004271981800514 absolute error 2.0039525594484076e-14 relative error 7.70624365431476e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9610002549718857 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9610050994795918 Order of pole (three term test) 2.000018203200615 Radius of convergence (six term test) for eq 1 1.9610001842191043 Order of pole (six term test) 1.0000000000026965 TOP MAIN SOLVE Loop x[1] -1.9619999999999491 y[1] (closed_form) 0.2597777082150938 y[1] (numeric) 0.2597777082150738 absolute error 2.0039525594484076e-14 relative error 7.714105160205475e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9620002548419306 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.962005096880433 Order of pole (three term test) 2.000018184649389 Radius of convergence (six term test) for eq 1 1.9620000536110813 Order of pole (six term test) 1.0000000000076934 TOP MAIN SOLVE Loop x[1] -1.962999999999949 y[1] (closed_form) 0.25951310151894363 y[1] (numeric) 0.2595131015189236 absolute error 2.0039525594484076e-14 relative error 7.72197067400131e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9630002547121077 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.963005094283922 Order of pole (three term test) 2.0000181661265297 Radius of convergence (six term test) for eq 1 1.9630003433866885 Order of pole (six term test) 0.9999999999963745 TOP MAIN SOLVE Loop x[1] -1.963999999999949 y[1] (closed_form) 0.25924889890512764 y[1] (numeric) 0.2592488989051075 absolute error 2.015054789694659e-14 relative error 7.772664795124434e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9640002545824171 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9640050916900413 Order of pole (three term test) 2.0000181476318506 Radius of convergence (six term test) for eq 1 1.9640001470464974 Order of pole (six term test) 1.0000000000034186 TOP MAIN SOLVE Loop x[1] -1.9649999999999488 y[1] (closed_form) 0.2589850995512959 y[1] (numeric) 0.25898509955127574 absolute error 2.015054789694659e-14 relative error 7.780581945393145e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9650002544528586 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.965005089098816 Order of pole (three term test) 2.0000181291655412 Radius of convergence (six term test) for eq 1 1.965000148079261 Order of pole (six term test) 1.0000000000038227 TOP MAIN SOLVE Loop x[1] -1.9659999999999487 y[1] (closed_form) 0.2587217026371897 y[1] (numeric) 0.2587217026371695 absolute error 2.020605904817785e-14 relative error 7.809959057247387e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9660002543234318 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9660050865102132 Order of pole (three term test) 2.0000181107272934 Radius of convergence (six term test) for eq 1 1.9660000915241505 Order of pole (six term test) 1.000000000005925 TOP MAIN SOLVE Loop x[1] -1.9669999999999486 y[1] (closed_form) 0.2584587073446346 y[1] (numeric) 0.25845870734461435 absolute error 2.0261570199409107e-14 relative error 7.839383864282768e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9670002541941365 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9670050839242608 Order of pole (three term test) 2.000018092317286 Radius of convergence (six term test) for eq 1 1.9669998701530504 Order of pole (six term test) 1.000000000013273 TOP MAIN SOLVE Loop x[1] -1.9679999999999485 y[1] (closed_form) 0.25819611285753447 y[1] (numeric) 0.25819611285751415 absolute error 2.0317081350640365e-14 relative error 7.868856399805978e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9680002540649728 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9680050813409125 Order of pole (three term test) 2.0000180739351903 Radius of convergence (six term test) for eq 1 1.9680003498539143 Order of pole (six term test) 0.9999999999962643 TOP MAIN SOLVE Loop x[1] -1.9689999999999483 y[1] (closed_form) 0.25793391836186486 y[1] (numeric) 0.25793391836184454 absolute error 2.0317081350640365e-14 relative error 7.876855234733724e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9690002539359401 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9690050787602102 Order of pole (three term test) 2.000018055581148 Radius of convergence (six term test) for eq 1 1.969000197487511 Order of pole (six term test) 1.0000000000024043 TOP MAIN SOLVE Loop x[1] -1.9699999999999482 y[1] (closed_form) 0.2576721230456671 y[1] (numeric) 0.25767212304564674 absolute error 2.0372592501871623e-14 relative error 7.906401461310193e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9700002538070385 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.970005076182112 Order of pole (three term test) 2.0000180372550185 Radius of convergence (six term test) for eq 1 1.9699999076655674 Order of pole (six term test) 1.000000000013312 TOP MAIN SOLVE Loop x[1] -1.9709999999999481 y[1] (closed_form) 0.25741072609904153 y[1] (numeric) 0.2574107260990211 absolute error 2.042810365310288e-14 relative error 7.935995505192331e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9710002536782678 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9710050736066316 Order of pole (three term test) 2.0000180189567898 Radius of convergence (six term test) for eq 1 1.9710002233704695 Order of pole (six term test) 1.0000000000022586 TOP MAIN SOLVE Loop x[1] -1.971999999999948 y[1] (closed_form) 0.2571497267141415 y[1] (numeric) 0.25714972671412106 absolute error 2.042810365310288e-14 relative error 7.94405030646275e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9720002535496275 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9720050710337733 Order of pole (three term test) 2.000018000686428 Radius of convergence (six term test) for eq 1 1.972000260061544 Order of pole (six term test) 1.000000000000158 TOP MAIN SOLVE Loop x[1] -1.972999999999948 y[1] (closed_form) 0.2568891240851672 y[1] (numeric) 0.2568891240851467 absolute error 2.0483614804334138e-14 relative error 7.973718185727143e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9730002534211177 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9730050684635192 Order of pole (three term test) 2.0000179824438353 Radius of convergence (six term test) for eq 1 1.972999786574222 Order of pole (six term test) 1.0000000000165512 TOP MAIN SOLVE Loop x[1] -1.9739999999999478 y[1] (closed_form) 0.2566289174083592 y[1] (numeric) 0.2566289174083387 absolute error 2.0483614804334138e-14 relative error 7.981803068490412e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.974000253292738 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.974005065895868 Order of pole (three term test) 2.000017964228978 Radius of convergence (six term test) for eq 1 1.9739999037519025 Order of pole (six term test) 1.0000000000123626 TOP MAIN SOLVE Loop x[1] -1.9749999999999477 y[1] (closed_form) 0.2563691058819925 y[1] (numeric) 0.256369105881972 absolute error 2.0539125955565396e-14 relative error 8.011544871954899e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9750002531644884 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.975005063330825 Order of pole (three term test) 2.000017946041816 Radius of convergence (six term test) for eq 1 1.9749998884260476 Order of pole (six term test) 1.000000000012517 TOP MAIN SOLVE Loop x[1] -1.9759999999999476 y[1] (closed_form) 0.25610968870637024 y[1] (numeric) 0.2561096887063497 absolute error 2.0539125955565396e-14 relative error 8.019659880619941e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9760002530363687 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9760050607683644 Order of pole (three term test) 2.0000179278821553 Radius of convergence (six term test) for eq 1 1.9760002538137171 Order of pole (six term test) 1.0000000000009734 TOP MAIN SOLVE Loop x[1] -1.9769999999999475 y[1] (closed_form) 0.2558506650838175 y[1] (numeric) 0.2558506650837969 absolute error 2.0594637106796654e-14 relative error 8.049475697102365e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9770002529083786 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.977005058208478 Order of pole (three term test) 2.0000179097499333 Radius of convergence (six term test) for eq 1 1.977000236891928 Order of pole (six term test) 1.0000000000011164 TOP MAIN SOLVE Loop x[1] -1.9779999999999474 y[1] (closed_form) 0.25559203421867516 y[1] (numeric) 0.2555920342186545 absolute error 2.0650148258027912e-14 relative error 8.079339530730603e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9780002527805176 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9780050556512379 Order of pole (three term test) 2.000017891645585 Radius of convergence (six term test) for eq 1 1.9780002187671215 Order of pole (six term test) 1.0000000000017089 TOP MAIN SOLVE Loop x[1] -1.9789999999999472 y[1] (closed_form) 0.25533379531729394 y[1] (numeric) 0.2553337953172733 absolute error 2.0650148258027912e-14 relative error 8.087510794396304e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9790002526527861 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9790050530965262 Order of pole (three term test) 2.0000178735683276 Radius of convergence (six term test) for eq 1 1.9790001147202618 Order of pole (six term test) 1.0000000000047233 TOP MAIN SOLVE Loop x[1] -1.9799999999999471 y[1] (closed_form) 0.2550759475880282 y[1] (numeric) 0.25507594758800756 absolute error 2.0650148258027912e-14 relative error 8.095686188091657e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9800002525251836 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9800050505444344 Order of pole (three term test) 2.0000178555186685 Radius of convergence (six term test) for eq 1 1.9800000683870742 Order of pole (six term test) 1.0000000000063842 TOP MAIN SOLVE Loop x[1] -1.980999999999947 y[1] (closed_form) 0.2548184902412299 y[1] (numeric) 0.25481849024120923 absolute error 2.0650148258027912e-14 relative error 8.103865711816661e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.98100025239771 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9810050479948837 Order of pole (three term test) 2.00001783749609 Radius of convergence (six term test) for eq 1 1.9810003276913328 Order of pole (six term test) 0.9999999999974456 TOP MAIN SOLVE Loop x[1] -1.981999999999947 y[1] (closed_form) 0.2545614224892425 y[1] (numeric) 0.2545614224892218 absolute error 2.070565940925917e-14 relative error 8.133855949887366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9820002522703648 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9820050454479303 Order of pole (three term test) 2.0000178195009646 Radius of convergence (six term test) for eq 1 1.9820001069180837 Order of pole (six term test) 1.0000000000051594 TOP MAIN SOLVE Loop x[1] -1.9829999999999468 y[1] (closed_form) 0.254304743546395 y[1] (numeric) 0.2543047435463743 absolute error 2.070565940925917e-14 relative error 8.142065743843139e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9830002521431482 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9830050429035444 Order of pole (three term test) 2.000017801533132 Radius of convergence (six term test) for eq 1 1.9829999597106076 Order of pole (six term test) 1.0000000000097673 TOP MAIN SOLVE Loop x[1] -1.9839999999999467 y[1] (closed_form) 0.25404845262899595 y[1] (numeric) 0.2540484526289752 absolute error 2.0761170560490427e-14 relative error 8.172130294691998e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9840002520160598 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9840050403617229 Order of pole (three term test) 2.0000177835923796 Radius of convergence (six term test) for eq 1 1.9840000243917157 Order of pole (six term test) 1.000000000007419 TOP MAIN SOLVE Loop x[1] -1.9849999999999466 y[1] (closed_form) 0.2537925489553274 y[1] (numeric) 0.2537925489553066 absolute error 2.0761170560490427e-14 relative error 8.180370403287455e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9850002518890995 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9850050378224589 Order of pole (three term test) 2.000017765678695 Radius of convergence (six term test) for eq 1 1.9850002560340667 Order of pole (six term test) 0.999999999999079 TOP MAIN SOLVE Loop x[1] -1.9859999999999465 y[1] (closed_form) 0.2535370317456389 y[1] (numeric) 0.25353703174561815 absolute error 2.0761170560490427e-14 relative error 8.188614664117026e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.986000251762267 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9860050352857608 Order of pole (three term test) 2.0000177477921404 Radius of convergence (six term test) for eq 1 1.9860000318992799 Order of pole (six term test) 1.0000000000071765 TOP MAIN SOLVE Loop x[1] -1.9869999999999464 y[1] (closed_form) 0.25328190022214186 y[1] (numeric) 0.25328190022212105 absolute error 2.0816681711721685e-14 relative error 8.218779823376378e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.987000251635562 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.987005032751598 Order of pole (three term test) 2.000017729932493 Radius of convergence (six term test) for eq 1 1.9870002764414185 Order of pole (six term test) 0.9999999999984661 TOP MAIN SOLVE Loop x[1] -1.9879999999999463 y[1] (closed_form) 0.2530271536090032 y[1] (numeric) 0.25302715360898237 absolute error 2.0816681711721685e-14 relative error 8.227054454356787e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9880002515089847 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.988005030219978 Order of pole (three term test) 2.0000177120997362 Radius of convergence (six term test) for eq 1 1.987999738602383 Order of pole (six term test) 1.000000000018039 TOP MAIN SOLVE Loop x[1] -1.9889999999999461 y[1] (closed_form) 0.2527727911323397 y[1] (numeric) 0.2527727911323189 absolute error 2.0816681711721685e-14 relative error 8.235333248673538e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9890002513825347 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9890050276909188 Order of pole (three term test) 2.0000176942939047 Radius of convergence (six term test) for eq 1 1.9890003530292057 Order of pole (six term test) 0.9999999999963745 TOP MAIN SOLVE Loop x[1] -1.989999999999946 y[1] (closed_form) 0.25251881202021215 y[1] (numeric) 0.2525188120201913 absolute error 2.0872192862952943e-14 relative error 8.265599182876833e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9900002512562116 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9900050251644106 Order of pole (three term test) 2.000017676515109 Radius of convergence (six term test) for eq 1 1.9900001245976326 Order of pole (six term test) 1.0000000000038645 TOP MAIN SOLVE Loop x[1] -1.990999999999946 y[1] (closed_form) 0.2522652155026193 y[1] (numeric) 0.25226521550259845 absolute error 2.0872192862952943e-14 relative error 8.273908402855575e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9910002511300156 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.99100502264043 Order of pole (three term test) 2.000017658762892 Radius of convergence (six term test) for eq 1 1.990999976235071 Order of pole (six term test) 1.0000000000101767 TOP MAIN SOLVE Loop x[1] -1.9919999999999458 y[1] (closed_form) 0.25201200081149233 y[1] (numeric) 0.2520120008114714 absolute error 2.09277040141842e-14 relative error 8.304248982903931e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.992000251003946 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9920050201189823 Order of pole (three term test) 2.00001764103747 Radius of convergence (six term test) for eq 1 1.9920000148399215 Order of pole (six term test) 1.0000000000082894 TOP MAIN SOLVE Loop x[1] -1.9929999999999457 y[1] (closed_form) 0.2517591671806887 y[1] (numeric) 0.2517591671806677 absolute error 2.098321516541546e-14 relative error 8.334637979778393e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9930002508780031 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.993005017600071 Order of pole (three term test) 2.000017623338774 Radius of convergence (six term test) for eq 1 1.9930001187535655 Order of pole (six term test) 1.000000000004718 TOP MAIN SOLVE Loop x[1] -1.9939999999999456 y[1] (closed_form) 0.2515067138459865 y[1] (numeric) 0.25150671384596546 absolute error 2.1038726316646716e-14 relative error 8.36507542678565e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9940002507521866 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9940050150836865 Order of pole (three term test) 2.000017605666665 Radius of convergence (six term test) for eq 1 1.9940001431339738 Order of pole (six term test) 1.0000000000034195 TOP MAIN SOLVE Loop x[1] -1.9949999999999455 y[1] (closed_form) 0.25125464004507875 y[1] (numeric) 0.2512546400450577 absolute error 2.1038726316646716e-14 relative error 8.37346777471336e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.995000250626496 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.995005012569821 Order of pole (three term test) 2.0000175880210818 Radius of convergence (six term test) for eq 1 1.9949998223231138 Order of pole (six term test) 1.0000000000152456 TOP MAIN SOLVE Loop x[1] -1.9959999999999454 y[1] (closed_form) 0.25100294501756765 y[1] (numeric) 0.25100294501754655 absolute error 2.1094237467877974e-14 relative error 8.40398006740582e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9960002505009318 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.996005010058463 Order of pole (three term test) 2.0000175704019867 Radius of convergence (six term test) for eq 1 1.9960000990007531 Order of pole (six term test) 1.0000000000045226 TOP MAIN SOLVE Loop x[1] -1.9969999999999453 y[1] (closed_form) 0.25075162800495854 y[1] (numeric) 0.25075162800493744 absolute error 2.1094237467877974e-14 relative error 8.412402996426744e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.997000250375493 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9970050075496457 Order of pole (three term test) 2.0000175528094815 Radius of convergence (six term test) for eq 1 1.996999897327638 Order of pole (six term test) 1.000000000011191 TOP MAIN SOLVE Loop x[1] -1.9979999999999452 y[1] (closed_form) 0.25050068825065475 y[1] (numeric) 0.2505006882506336 absolute error 2.1149748619109232e-14 relative error 8.44299022362225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.9980002502501797 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9980050050433193 Order of pole (three term test) 2.0000175352432366 Radius of convergence (six term test) for eq 1 1.9979999736393137 Order of pole (six term test) 1.0000000000091926 TOP MAIN SOLVE Loop x[1] -1.998999999999945 y[1] (closed_form) 0.2502501249999512 y[1] (numeric) 0.25025012499993005 absolute error 2.1149748619109232e-14 relative error 8.451443778145309e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 1.999000250124992 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9990050025394994 Order of pole (three term test) 2.0000175177033643 Radius of convergence (six term test) for eq 1 1.998999908187027 Order of pole (six term test) 1.000000000010962 TOP MAIN SOLVE Loop x[1] -1.999999999999945 y[1] (closed_form) 0.24999993750002938 y[1] (numeric) 0.2499999375000082 absolute error 2.117750419472486e-14 relative error 8.471003795639897e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Radius of convergence (given) for eq 1 2.000000249999929 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.0000050000381973 Order of pole (three term test) 2.000017500189931 Radius of convergence (six term test) for eq 1 1.9999998168067141 Order of pole (six term test) 1.0000000000150022 Finished! diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 0.000001 ) / ( x * x + 0.000001 ) ; Iterations 501 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Expected Time Remaining 0 Seconds Optimized Time Remaining 0 Seconds Expected Total Time 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 0.0%