##############ECHO OF PROBLEM################# ##############temp/sing7postode.ode################# diff ( y , x , 1 ) = m1 * 5.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) / ( x- 6.0) / ( x - 6.0) / ( x - 6.0) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=64; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=2.0 x_end=3.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=100 ## Not Given = 0 ## No Pole = 3 ## Pole = 4 $glob_type_given_pole=4 $array_given_rad_poles[1][1]=6.0 #RealPart $array_given_rad_poles[1][2]=0.0 #ImagPart $array_given_ord_poles[1][1]=6.0 #Order $array_given_ord_poles[1][2]=0.0 #NotUsed # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb ## Real Part $array_given_rad_poles[1][1]=6.0 ## Imag Part $array_given_rad_poles[1][2]=0.0 ## Order $array_given_ord_poles[1][1]=6.0 ## Not Used $array_given_ord_poles[1][2]=0.0 # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=10000000 $glob_max_minutes=3 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(1.0/ ( x - 6.0 ) / ( x - 6.0 )/ ( x - 6.0 )/ ( x - 6.0 )/ ( x - 6.0 )) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 desired_abs_gbl_error 1.0e-10 range 1.0 estimated_steps 1000000.0 step_error 1.0e-16 est_needed_step_err 1.0e-16 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.6189156200578775e-240 estimated_step_error 3.6189156200578775e-240 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.4869001800820127e-229 estimated_step_error 2.4869001800820127e-229 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.7089852063982066e-218 estimated_step_error 1.7089852063982066e-218 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.174406262665552e-207 estimated_step_error 1.174406262665552e-207 best_h 1.6e-05 opt_iter 5 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 8.070466236938996e-197 estimated_step_error 8.070466236938996e-197 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.545992960403592e-186 estimated_step_error 5.545992960403592e-186 best_h 6.4e-05 opt_iter 7 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.811192175010521e-175 estimated_step_error 3.811192175010521e-175 best_h 0.000128 opt_iter 8 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.61905170636183e-164 estimated_step_error 2.61905170636183e-164 best_h 0.000256 opt_iter 9 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.7998266474171747e-153 estimated_step_error 1.7998266474171747e-153 best_h 0.000512 opt_iter 10 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.2368699655751198e-142 estimated_step_error 1.2368699655751198e-142 best_h 0.001024 opt_iter 11 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 8.500235027432525e-132 estimated_step_error 8.500235027432525e-132 best_h 0.002048 opt_iter 12 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.842044694328976e-121 estimated_step_error 5.842044694328976e-121 best_h 0.004096 opt_iter 13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.0156230096550854e-110 estimated_step_error 4.0156230096550854e-110 best_h 0.008192 opt_iter 14 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.7608911760546833e-99 estimated_step_error 2.7608911760546833e-99 best_h 0.016384 opt_iter 15 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.8991640308490004e-88 estimated_step_error 1.8991640308490004e-88 best_h 0.032768 opt_iter 16 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.3077065258387743e-77 estimated_step_error 1.3077065258387743e-77 best_h 0.065536 opt_iter 17 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 9.022588720310361e-67 estimated_step_error 9.022588720310361e-67 best_h 0.131072 opt_iter 18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.250474913855403e-56 estimated_step_error 6.250474913855403e-56 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 2.0 y[1] (analytic) -0.0009765625 y[1] (numeric) -0.0009765625 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 4.0 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 4.125 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.9969992498124314 Order of pole (three term test) 1225.0262565641342 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.01 y[1] (analytic) -0.0009888616207243467 y[1] (numeric) -0.0009888616207243217 absolute error 2.4936649967166602e-17 relative error 2.5217532407517614e-12% Correct digits 14 h 0.01 Radius of convergence (given) for eq 1 3.99 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 4.1146875 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.9870067516879217 Order of pole (three term test) 1225.026256564141 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0199999999999996 y[1] (analytic) -0.0010013470890107975 y[1] (numeric) -0.001001347089010747 absolute error 5.0523821237824507e-17 relative error 5.045585271310427e-12% Correct digits 14 h 0.01 Radius of convergence (given) for eq 1 3.9800000000000004 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 4.104375000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.9770142535634525 Order of pole (three term test) 1225.0262565641601 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0299999999999994 y[1] (analytic) -0.0010140222071652679 y[1] (numeric) -0.0010140222071651909 absolute error 7.697835424647081e-17 relative error 7.591387417605608e-12% Correct digits 14 h 0.01 Radius of convergence (given) for eq 1 3.9700000000000006 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 4.094062500000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.9670217554388505 Order of pole (three term test) 1225.026256564138 Radius of convergence (six term test) for eq 1 1.7350028707701777 Order of pole (six term test) 4.877520609625208e-11 TOP MAIN SOLVE Loop x[1] 2.039999999999999 y[1] (analytic) -0.0010268903445442865 y[1] (numeric) -0.0010268903445441822 absolute error 1.0430024899310553e-16 relative error 1.015690229704048e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.960000000000001 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 4.08375 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.9570292573143733 Order of pole (three term test) 1225.0262565641551 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.049999999999999 y[1] (analytic) -0.001039954939090473 y[1] (numeric) -0.0010399549390903413 absolute error 1.3162214373974024e-16 relative error 1.2656523738889567e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.950000000000001 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 4.073437500000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.9470367591898285 Order of pole (three term test) 1225.0262565641506 Radius of convergence (six term test) for eq 1 20.731753263840446 Order of pole (six term test) 1.4316441365735955e-09 TOP MAIN SOLVE Loop x[1] 2.0599999999999987 y[1] (analytic) -0.0010532194989071873 y[1] (numeric) -0.0010532194989070268 absolute error 1.6046192152785466e-16 relative error 1.5235373224133122e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.9400000000000013 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 4.063125000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.9370442610652985 Order of pole (three term test) 1225.0262565641506 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0699999999999985 y[1] (analytic) -0.0010666876038734438 y[1] (numeric) -0.001066687603873254 absolute error 1.8995222061946038e-16 relative error 1.780767114286228e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.9300000000000015 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 4.052812500000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.9270517629407724 Order of pole (three term test) 1225.0262565641524 Radius of convergence (six term test) for eq 1 1.167677288128908 Order of pole (six term test) 7.097966658875521e-11 TOP MAIN SOLVE Loop x[1] 2.0799999999999983 y[1] (analytic) -0.0010803629073002407 y[1] (numeric) -0.0010803629073000201 absolute error 2.205267218835516e-16 relative error 2.041228187245285e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.9200000000000017 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 4.042500000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.9170592648162303 Order of pole (three term test) 1225.026256564149 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.089999999999998 y[1] (analytic) -0.0010942491376294595 y[1] (numeric) -0.0010942491376292082 absolute error 2.5131806358213993e-16 relative error 2.2967170358167794e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.910000000000002 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 4.032187500000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.9070667666916634 Order of pole (three term test) 1225.0262565641374 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.099999999999998 y[1] (analytic) -0.0011083501001765582 y[1] (numeric) -0.0011083501001762747 absolute error 2.8341044788771086e-16 relative error 2.5570480648900027e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.900000000000002 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 4.021875000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.8970742685671773 Order of pole (three term test) 1225.0262565641517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1099999999999977 y[1] (analytic) -0.0011226696789182857 y[1] (numeric) -0.0011226696789179691 absolute error 3.165870343657673e-16 relative error 2.8199482030262466e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.8900000000000023 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 4.011562500000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.887081770442618 Order of pole (three term test) 1225.0262565641426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999974 y[1] (analytic) -0.0011372118383267142 y[1] (numeric) -0.0011372118383263638 absolute error 3.5041414214731503e-16 relative error 3.081344480751379e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.8800000000000026 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 4.001250000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.8770892723180714 Order of pole (three term test) 1225.0262565641378 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999999972 y[1] (analytic) -0.0011519806252509065 y[1] (numeric) -0.0011519806252505214 absolute error 3.8510861166685117e-16 relative error 3.343012922487067e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.8700000000000028 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.990937500000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.867096774193511 Order of pole (three term test) 1225.0262565641283 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.139999999999997 y[1] (analytic) -0.0011669801708475837 y[1] (numeric) -0.0011669801708471626 absolute error 4.211041237933699e-16 relative error 3.608494251342076e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.860000000000003 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.980625000000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.857104276069047 Order of pole (three term test) 1225.0262565641497 Radius of convergence (six term test) for eq 1 6.697892829948615 Order of pole (six term test) 3.311519947146735e-10 TOP MAIN SOLVE Loop x[1] 2.149999999999997 y[1] (analytic) -0.0011822146925621994 y[1] (numeric) -0.0011822146925617413 absolute error 4.581838380923742e-16 relative error 3.8756398560684266e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.850000000000003 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.970312500000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.8471117779445136 Order of pole (three term test) 1225.0262565641488 Radius of convergence (six term test) for eq 1 2.0633630244869092 Order of pole (six term test) 6.839329103058844e-11 TOP MAIN SOLVE Loop x[1] 2.1599999999999966 y[1] (analytic) -0.0011976884961618754 y[1] (numeric) -0.0011976884961613795 absolute error 4.959140736948697e-16 relative error 4.1405931115150636e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.8400000000000034 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.960000000000003 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.8371192798199494 Order of pole (three term test) 1225.026256564138 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699999999999964 y[1] (analytic) -0.0012134059778216935 y[1] (numeric) -0.0012134059778211585 absolute error 5.349453519043479e-16 relative error 4.4086263104182313e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.8300000000000036 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.9496875000000036 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.8271267816954615 Order of pole (three term test) 1225.0262565641522 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.179999999999996 y[1] (analytic) -0.0012293716262658863 y[1] (numeric) -0.0012293716262653112 absolute error 5.750608322863116e-16 relative error 4.6776810201241656e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.820000000000004 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.9393750000000036 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.817134283570927 Order of pole (three term test) 1225.0262565641513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.189999999999996 y[1] (analytic) -0.0012455900249655255 y[1] (numeric) -0.0012455900249649086 absolute error 6.16911036144252e-16 relative error 4.952761532923535e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.810000000000004 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.9290625000000046 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.8071417854463854 Order of pole (three term test) 1225.0262565641476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1999999999999957 y[1] (analytic) -0.001262065854394345 y[1] (numeric) -0.0012620658543936853 absolute error 6.596286017401809e-16 relative error 5.226578307648861e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.8000000000000043 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.9187500000000046 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.79714928732184 Order of pole (three term test) 1225.0262565641428 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2099999999999955 y[1] (analytic) -0.0012788038943444022 y[1] (numeric) -0.001278803894343699 absolute error 7.032135290740982e-16 relative error 5.498994272570706e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.7900000000000045 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.9084375000000047 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.787156789197281 Order of pole (three term test) 1225.0262565641335 Radius of convergence (six term test) for eq 1 3.1974877150593466 Order of pole (six term test) -6.467359980888432e-11 TOP MAIN SOLVE Loop x[1] 2.2199999999999953 y[1] (analytic) -0.0012958090263033236 y[1] (numeric) -0.0012958090263025753 absolute error 7.483163394494952e-16 relative error 5.774896796206827e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.7800000000000047 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.898125000000005 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.7771642910727525 Order of pole (three term test) 1225.0262565641344 Radius of convergence (six term test) for eq 1 6.750802820668821 Order of pole (six term test) -3.108091561898618e-10 TOP MAIN SOLVE Loop x[1] 2.229999999999995 y[1] (analytic) -0.00131308623589494 y[1] (numeric) -0.001313086235894145 absolute error 7.95153873300869e-16 relative error 6.055610450892649e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.770000000000005 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.8878125000000052 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.767171792948297 Order of pole (three term test) 1225.0262565641592 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239999999999995 y[1] (analytic) -0.001330640615385178 y[1] (numeric) -0.0013306406153843348 absolute error 8.432924497592253e-16 relative error 6.337492182403579e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.760000000000005 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.8775000000000044 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.757179294823739 Order of pole (three term test) 1225.0262565641503 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2499999999999947 y[1] (analytic) -0.0013484773662551343 y[1] (numeric) -0.001348477366254242 absolute error 8.922983879555701e-16 relative error 6.617080940954746e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.7500000000000053 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.867187500000005 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.7471867966991854 Order of pole (three term test) 1225.0262565641426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2599999999999945 y[1] (analytic) -0.0013666018018433166 y[1] (numeric) -0.0013666018018423732 absolute error 9.43472730496886e-16 relative error 6.903786671613483e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.7400000000000055 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.856875000000006 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.7371942985746736 Order of pole (three term test) 1225.0262565641492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699999999999942 y[1] (analytic) -0.0013850193500590962 y[1] (numeric) -0.001385019350058101 absolute error 9.95297594341693e-16 relative error 7.18616382001613e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.7300000000000058 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.846562500000006 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.727201800450137 Order of pole (three term test) 1225.0262565641472 Radius of convergence (six term test) for eq 1 3.5732094918175643 Order of pole (six term test) 4.240519047016278e-11 TOP MAIN SOLVE Loop x[1] 2.279999999999994 y[1] (analytic) -0.001403735556169506 y[1] (numeric) -0.0014037355561684567 absolute error 1.0492908625314712e-15 relative error 7.474989558537375e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.720000000000006 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.836250000000007 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.7172093023255597 Order of pole (three term test) 1225.0262565641322 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999994 y[1] (analytic) -0.0014227560856615476 y[1] (numeric) -0.0014227560856604428 absolute error 1.104802013762729e-15 relative error 7.765224305816428e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.710000000000006 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.8259375000000064 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.707216804201065 Order of pole (three term test) 1225.0262565641438 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2999999999999936 y[1] (analytic) -0.0014420867271822853 y[1] (numeric) -0.0014420867271811235 absolute error 1.1618310480354666e-15 relative error 8.056596223623704e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.7000000000000064 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.815625000000006 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.6972243060765178 Order of pole (three term test) 1225.0262565641385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999999934 y[1] (analytic) -0.001461733395559046 y[1] (numeric) -0.001461733395557825 absolute error 1.221028486653175e-15 relative error 8.353291307175668e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.6900000000000066 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.805312500000006 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.6872318079519855 Order of pole (three term test) 1225.026256564138 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.319999999999993 y[1] (analytic) -0.0014817021349021347 y[1] (numeric) -0.001481702134900853 absolute error 1.2817438083123633e-15 relative error 8.650482294115217e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.680000000000007 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.795000000000007 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.6772393098274643 Order of pole (three term test) 1225.0262565641417 Radius of convergence (six term test) for eq 1 2.920848189152735 Order of pole (six term test) 1.0259881833007967e-10 TOP MAIN SOLVE Loop x[1] 2.329999999999993 y[1] (analytic) -0.0015019991217925573 y[1] (numeric) -0.0015019991217912127 absolute error 1.3446275343165226e-15 relative error 8.952252466777611e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.670000000000007 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.7846875000000066 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.6672468117029626 Order of pole (three term test) 1225.0262565641513 Radius of convergence (six term test) for eq 1 24.275047646670984 Order of pole (six term test) 4.217131532868734e-09 TOP MAIN SOLVE Loop x[1] 2.3399999999999928 y[1] (analytic) -0.0015226306685573114 y[1] (numeric) -0.0015226306685559023 absolute error 1.4090291433621616e-15 relative error 9.253912800122521e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.6600000000000072 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.774375000000007 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.657254313578355 Order of pole (three term test) 1225.026256564125 Radius of convergence (six term test) for eq 1 17.09326826747912 Order of pole (six term test) -2.0655228638588596e-09 TOP MAIN SOLVE Loop x[1] 2.3499999999999925 y[1] (analytic) -0.0015436032266349072 y[1] (numeric) -0.0015436032266334318 absolute error 1.4753823163182744e-15 relative error 9.558041152418707e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.6500000000000075 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.7640625000000076 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.6472618154539185 Order of pole (three term test) 1225.0262565641572 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3599999999999923 y[1] (analytic) -0.0015649233900338537 y[1] (numeric) -0.0015649233900323098 absolute error 1.5439038936193583e-15 relative error 9.865683543690655e-11% Correct digits 13 h 0.01 Radius of convergence (given) for eq 1 3.6400000000000077 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.7537500000000077 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.6372693173293116 Order of pole (three term test) 1225.0262565641315 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.369999999999992 y[1] (analytic) -0.0015865978988869448 y[1] (numeric) -0.0015865978988853302 absolute error 1.6145938752654132e-15 relative error 1.0176452876926841e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.630000000000008 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.7434375000000077 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.627276819204829 Order of pole (three term test) 1225.0262565641478 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.379999999999992 y[1] (analytic) -0.0016086336431042742 y[1] (numeric) -0.0016086336431025867 absolute error 1.6874522612564391e-15 relative error 1.0489972458863063e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.620000000000008 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.7331250000000082 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.6172843210802585 Order of pole (three term test) 1225.0262565641344 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3899999999999917 y[1] (analytic) -0.0016310376661280018 y[1] (numeric) -0.0016310376661262396 absolute error 1.762262211157939e-15 relative error 1.0804546380228345e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.6100000000000083 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.722812500000009 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.607291822955734 Order of pole (three term test) 1225.0262565641367 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3999999999999915 y[1] (analytic) -0.0016538171687920005 y[1] (numeric) -0.001653817168790161 absolute error 1.839457405838907e-15 relative error 1.1122495524596009e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.6000000000000085 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.7125000000000083 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.5972993248312 Order of pole (three term test) 1225.0262565641356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999999913 y[1] (analytic) -0.0016769795132896108 y[1] (numeric) -0.001676979513287691 absolute error 1.919688366602834e-15 relative error 1.1447297664579806e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.5900000000000087 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.702187500000009 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.5873068267067176 Order of pole (three term test) 1225.0262565641522 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.419999999999991 y[1] (analytic) -0.0017005322272528464 y[1] (numeric) -0.0017005322272508445 absolute error 2.0018708912772354e-15 relative error 1.177202559995697e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.580000000000009 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.691875000000009 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.577314328582149 Order of pole (three term test) 1225.0262565641392 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429999999999991 y[1] (analytic) -0.0017244830079465067 y[1] (numeric) -0.00172448300794442 absolute error 2.086655501165602e-15 relative error 1.2100180120941672e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.570000000000009 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.681562500000009 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.567321830457606 Order of pole (three term test) 1225.0262565641349 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4399999999999906 y[1] (analytic) -0.0017488397265807603 y[1] (numeric) -0.0017488397265785862 absolute error 2.1740421962679335e-15 relative error 1.2431340409441102e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.5600000000000094 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.6712500000000095 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.557329332333113 Order of pole (three term test) 1225.0262565641483 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999904 y[1] (analytic) -0.0017736104327458959 y[1] (numeric) -0.0017736104327436314 absolute error 2.2644646574532246e-15 relative error 1.2767542497747888e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.5500000000000096 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.6609375000000095 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.5473368342085325 Order of pole (three term test) 1225.026256564131 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.45999999999999 y[1] (analytic) -0.0017988033589730556 y[1] (numeric) -0.001798803358970698 absolute error 2.357489203852481e-15 relative error 1.31058750368266e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.54000000000001 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.6506250000000104 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.5373443360840797 Order of pole (three term test) 1225.0262565641583 Radius of convergence (six term test) for eq 1 3.8860289393654246 Order of pole (six term test) 1.7257661966141313e-10 TOP MAIN SOLVE Loop x[1] 2.46999999999999 y[1] (analytic) -0.0018244269254249017 y[1] (numeric) -0.0018244269254224484 absolute error 2.4533326759001994e-15 relative error 1.3447141355518133e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.53000000000001 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.64031250000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.527351837959509 Order of pole (three term test) 1225.0262565641444 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4799999999999898 y[1] (analytic) -0.0018504897447202985 y[1] (numeric) -0.0018504897447177459 absolute error 2.5526455948998716e-15 relative error 1.3794432539725876e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.5200000000000102 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.63000000000001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.517359339834988 Order of pole (three term test) 1225.0262565641478 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4899999999999896 y[1] (analytic) -0.0018770006268972292 y[1] (numeric) -0.0018770006268945742 absolute error 2.6549942799825033e-15 relative error 1.4144876895280182e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.5100000000000104 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.6196875000000106 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.5073668417104535 Order of pole (three term test) 1225.0262565641465 Radius of convergence (six term test) for eq 1 6.246401365703274 Order of pole (six term test) 4.651568019653496e-11 TOP MAIN SOLVE Loop x[1] 2.4999999999999893 y[1] (analytic) -0.0019039685845183263 y[1] (numeric) -0.0019039685845155662 absolute error 2.760161890713597e-15 relative error 1.4496887780382544e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.5000000000000107 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.609375000000011 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.4973743435859235 Order of pole (three term test) 1225.0262565641467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.509999999999989 y[1] (analytic) -0.0019314028379235294 y[1] (numeric) -0.0019314028379206602 absolute error 2.869232629265639e-15 relative error 1.485569231300488e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.490000000000011 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.5990625000000107 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.48738184546138 Order of pole (three term test) 1225.0262565641424 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.519999999999989 y[1] (analytic) -0.0019593128206345464 y[1] (numeric) -0.0019593128206315644 absolute error 2.9819896552041314e-15 relative error 1.521956894171896e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.480000000000011 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.5887500000000117 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.4773893473368673 Order of pole (three term test) 1225.026256564149 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5299999999999887 y[1] (analytic) -0.001987708184915964 y[1] (numeric) -0.001987708184912866 absolute error 3.0977824472255833e-15 relative error 1.558469432652938e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.4700000000000113 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.5784375000000117 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.467396849212326 Order of pole (three term test) 1225.0262565641453 Radius of convergence (six term test) for eq 1 0.4352755289701865 Order of pole (six term test) 3.68700625585916e-11 TOP MAIN SOLVE Loop x[1] 2.5399999999999885 y[1] (analytic) -0.0020165988074980143 y[1] (numeric) -0.0020165988074947972 absolute error 3.2170446861989888e-15 relative error 1.595282449953624e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.4600000000000115 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.568125000000012 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.4574043510878054 Order of pole (three term test) 1225.0262565641488 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5499999999999883 y[1] (analytic) -0.002045994795466178 y[1] (numeric) -0.0020459947954628373 absolute error 3.3406437338623363e-15 relative error 1.6327723517503738e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.4500000000000117 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.557812500000012 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.4474118529632722 Order of pole (three term test) 1225.0262565641478 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.559999999999988 y[1] (analytic) -0.0020759064923229938 y[1] (numeric) -0.0020759064923195247 absolute error 3.46901327108462e-15 relative error 1.6710835887423346e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.440000000000012 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.5475000000000123 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.43741935483875 Order of pole (three term test) 1225.0262565641517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569999999999988 y[1] (analytic) -0.002106344484227627 y[1] (numeric) -0.0021063444842240268 absolute error 3.600418574389863e-15 relative error 1.7093208643457464e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.430000000000012 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.537187500000013 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.4274268567142014 Order of pole (three term test) 1225.026256564145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5799999999999876 y[1] (analytic) -0.002137319606418955 y[1] (numeric) -0.0021373196064152188 absolute error 3.736160686385048e-15 relative error 1.7480589590645856e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.4200000000000124 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.526875000000013 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.4174343585897065 Order of pole (three term test) 1225.026256564158 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999999874 y[1] (analytic) -0.0021688429498281096 y[1] (numeric) -0.0021688429498242325 absolute error 3.877106968808164e-15 relative error 1.7876384129682795e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.4100000000000126 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.5165625000000125 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.4074418604651417 Order of pole (three term test) 1225.026256564146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.599999999999987 y[1] (analytic) -0.0022009258678866543 y[1] (numeric) -0.002200925867882632 absolute error 4.0223900599212215e-15 relative error 1.8275899786590953e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.400000000000013 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.5062500000000134 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.397449362340636 Order of pole (three term test) 1225.0262565641551 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.609999999999987 y[1] (analytic) -0.002233579983536782 y[1] (numeric) -0.002233579983532609 absolute error 4.1728773214622095e-15 relative error 1.868246202159562e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.390000000000013 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.4959375000000135 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.387456864216086 Order of pole (three term test) 1225.026256564148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619999999999987 y[1] (analytic) -0.0022668171964501343 y[1] (numeric) -0.002266817196445807 absolute error 4.327267710824145e-15 relative error 1.9089619214115298e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.380000000000013 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.4856250000000135 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.3774643660915546 Order of pole (three term test) 1225.0262565641476 Radius of convergence (six term test) for eq 1 1.8359548811032511 Order of pole (six term test) 1.3585577107733116e-11 TOP MAIN SOLVE Loop x[1] 2.6299999999999866 y[1] (analytic) -0.0023006496904621134 y[1] (numeric) -0.002300649690457626 absolute error 4.487295951483006e-15 relative error 1.9504472889054562e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.3700000000000134 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.475312500000014 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.3674718679670135 Order of pole (three term test) 1225.0262565641442 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999999864 y[1] (analytic) -0.0023350899412287567 y[1] (numeric) -0.0023350899412241037 absolute error 4.652962043438791e-15 relative error 1.9926264771584505e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.3600000000000136 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.465000000000014 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.3574793698424936 Order of pole (three term test) 1225.0262565641483 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.649999999999986 y[1] (analytic) -0.002370150724113549 y[1] (numeric) -0.002370150724108726 absolute error 4.823398624953512e-15 relative error 2.0350598701934842e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.350000000000014 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.454687500000014 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.347486871717971 Order of pole (three term test) 1225.0262565641513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.659999999999986 y[1] (analytic) -0.0024058451223117846 y[1] (numeric) -0.002405845122306784 absolute error 5.000774100372141e-15 relative error 2.078593527902112e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.340000000000014 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.4443750000000146 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.3374943735933975 Order of pole (three term test) 1225.0262565641358 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6699999999999857 y[1] (analytic) -0.0024421865352203544 y[1] (numeric) -0.0024421865352151715 absolute error 5.1829200653497054e-15 relative error 2.1222457787738393e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.3300000000000143 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.4340625000000147 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.3275018754688745 Order of pole (three term test) 1225.0262565641385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6799999999999855 y[1] (analytic) -0.0024791886870611777 y[1] (numeric) -0.002479188687055806 absolute error 5.371571243362183e-15 relative error 2.1666649543039124e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.3200000000000145 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.4237500000000147 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.317509377344358 Order of pole (three term test) 1225.0262565641438 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6899999999999853 y[1] (analytic) -0.0025168656357667154 y[1] (numeric) -0.0025168656357611487 absolute error 5.566727634409574e-15 relative error 2.211769891607176e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.3100000000000147 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.4134375000000157 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.307516879219796 Order of pole (three term test) 1225.0262565641324 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.699999999999985 y[1] (analytic) -0.0025552317821363833 y[1] (numeric) -0.0025552317821306153 absolute error 5.7679555576228836e-15 relative error 2.257312075541108e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.300000000000015 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.4031250000000157 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.2975243810953203 Order of pole (three term test) 1225.026256564153 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709999999999985 y[1] (analytic) -0.0025943018792729694 y[1] (numeric) -0.0025943018792669932 absolute error 5.9761223747401004e-15 relative error 2.3035570464971705e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.290000000000015 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.3928125000000153 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.2875318829707845 Order of pole (three term test) 1225.026256564151 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7199999999999847 y[1] (analytic) -0.002634091042308498 y[1] (numeric) -0.002634091042302306 absolute error 6.192095447499213e-15 relative error 2.350752251172194e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.2800000000000153 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.3825000000000154 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.277539384846247 Order of pole (three term test) 1225.0262565641485 Radius of convergence (six term test) for eq 1 1.6621453408664426 Order of pole (six term test) 1.0462031241331715e-10 TOP MAIN SOLVE Loop x[1] 2.7299999999999844 y[1] (analytic) -0.0026746147584293415 y[1] (numeric) -0.002674614758422927 absolute error 6.4145737332932384e-15 relative error 2.398316883983761e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.2700000000000156 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.3721875000000163 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.267546886721711 Order of pole (three term test) 1225.026256564147 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7399999999999842 y[1] (analytic) -0.0027158888972107424 y[1] (numeric) -0.002715888897204097 absolute error 6.645291955598154e-15 relative error 2.4468202518972577e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.2600000000000158 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.3618750000000155 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.2575543885971556 Order of pole (three term test) 1225.0262565641376 Radius of convergence (six term test) for eq 1 3.223786317123392 Order of pole (six term test) 2.2893686946190428e-11 TOP MAIN SOLVE Loop x[1] 2.749999999999984 y[1] (analytic) -0.002757929721271273 y[1] (numeric) -0.0027579297212643895 absolute error 6.8833827526759706e-15 relative error 2.495851398817756e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.250000000000016 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.3515625000000164 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.2475618904726478 Order of pole (three term test) 1225.0262565641465 Radius of convergence (six term test) for eq 1 6.233252435389991 Order of pole (six term test) 9.419665047971648e-11 TOP MAIN SOLVE Loop x[1] 2.759999999999984 y[1] (analytic) -0.002800753897258174 y[1] (numeric) -0.0028007538972510434 absolute error 7.130580848002666e-15 relative error 2.545950522458692e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.240000000000016 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.3412500000000165 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.237569392348146 Order of pole (three term test) 1225.0262565641576 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7699999999999836 y[1] (analytic) -0.002844378507174894 y[1] (numeric) -0.0028443785071675088 absolute error 7.385151518102262e-15 relative error 2.5964025179747874e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.2300000000000164 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.330937500000017 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.2275768942235854 Order of pole (three term test) 1225.026256564146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799999999999834 y[1] (analytic) -0.002888821060062614 y[1] (numeric) -0.002888821060054965 absolute error 7.648829486450737e-15 relative error 2.6477339120080187e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.2200000000000166 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.320625000000017 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.21758439609906 Order of pole (three term test) 1225.0262565641485 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.789999999999983 y[1] (analytic) -0.0029340995040479413 y[1] (numeric) -0.0029340995040400193 absolute error 7.922048433917084e-15 relative error 2.699993106228221e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.210000000000017 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.310312500000017 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.20759189797453 Order of pole (three term test) 1225.0262565641488 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.799999999999983 y[1] (analytic) -0.002980232238769452 y[1] (numeric) -0.002980232238761247 absolute error 8.204808360501303e-15 relative error 2.753076842054798e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.200000000000017 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.300000000000018 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.197599399850009 Order of pole (three term test) 1225.0262565641526 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8099999999999827 y[1] (analytic) -0.0030272381281962234 y[1] (numeric) -0.003027238128187726 absolute error 8.49754294707239e-15 relative error 2.807028250577579e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.1900000000000173 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.2896875000000176 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.1876069017254474 Order of pole (three term test) 1225.0262565641408 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8199999999999825 y[1] (analytic) -0.0030751365138520026 y[1] (numeric) -0.0030751365138432024 absolute error 8.800252193630342e-15 relative error 2.86174358568781e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.1800000000000175 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.2793750000000177 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.177614403600955 Order of pole (three term test) 1225.0262565641556 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8299999999999823 y[1] (analytic) -0.003123947228459173 y[1] (numeric) -0.0031239472284500594 absolute error 9.11380346191315e-15 relative error 2.9173999416143655e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.1700000000000177 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.2690625000000186 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.1676219054763726 Order of pole (three term test) 1225.0262565641356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.839999999999982 y[1] (analytic) -0.0031736906100172267 y[1] (numeric) -0.0031736906100077894 absolute error 9.437329390182825e-15 relative error 2.9736135464482465e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.160000000000018 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.2587500000000182 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.1576294073518802 Order of pole (three term test) 1225.0262565641506 Radius of convergence (six term test) for eq 1 2.764423685137528 Order of pole (six term test) 6.943068342479819e-11 TOP MAIN SOLVE Loop x[1] 2.849999999999982 y[1] (analytic) -0.003224387516331014 y[1] (numeric) -0.00322438751632124 absolute error 9.773865744522325e-15 relative error 3.0312317285125434e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.150000000000018 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.248437500000019 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.1476369092273293 Order of pole (three term test) 1225.0262565641428 Radius of convergence (six term test) for eq 1 2.0921928957858906 Order of pole (six term test) -2.369304752392054e-11 TOP MAIN SOLVE Loop x[1] 2.8599999999999817 y[1] (analytic) -0.0032760593400046186 y[1] (numeric) -0.003276059339994496 absolute error 1.0122545163193664e-14 relative error 3.0898540327353756e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.1400000000000183 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.238125000000019 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.1376444111027935 Order of pole (three term test) 1225.026256564141 Radius of convergence (six term test) for eq 1 24.1679523721276 Order of pole (six term test) 2.4455140135160036e-09 TOP MAIN SOLVE Loop x[1] 2.8699999999999815 y[1] (analytic) -0.003328728023917339 y[1] (numeric) -0.0033287280239068565 absolute error 1.0482500284458851e-14 relative error 3.149100860491076e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.1300000000000185 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.2278125000000193 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.127651912978257 Order of pole (three term test) 1225.0262565641387 Radius of convergence (six term test) for eq 1 2.49224041174701 Order of pole (six term test) 6.982858735682385e-11 TOP MAIN SOLVE Loop x[1] 2.8799999999999812 y[1] (analytic) -0.0033824160771988767 y[1] (numeric) -0.003382416077188021 absolute error 1.0855899512662859e-14 relative error 3.2095103810093915e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.1200000000000188 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.2175000000000193 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.1176594148537182 Order of pole (three term test) 1225.0262565641356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.889999999999981 y[1] (analytic) -0.0034371465917214963 y[1] (numeric) -0.003437146591710253 absolute error 1.1243176528674681e-14 relative error 3.2710785614306696e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.110000000000019 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.2071875000000194 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.1076669167292277 Order of pole (three term test) 1225.0262565641515 Radius of convergence (six term test) for eq 1 2.8642584258315025 Order of pole (six term test) 1.6893864085432142e-10 TOP MAIN SOLVE Loop x[1] 2.899999999999981 y[1] (analytic) -0.0034929432591276253 y[1] (numeric) -0.003492943259115982 absolute error 1.164346397075633e-14 relative error 3.333424881818528e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.100000000000019 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.1968750000000195 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.097674418604665 Order of pole (three term test) 1225.026256564139 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9099999999999806 y[1] (analytic) -0.0035498303884120867 y[1] (numeric) -0.0035498303884000278 absolute error 1.2058930243252775e-14 relative error 3.3970440623353237e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.0900000000000194 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.18656250000002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.0876819204801125 Order of pole (three term test) 1225.0262565641303 Radius of convergence (six term test) for eq 1 1.2381311766846335 Order of pole (six term test) -9.904965736495797e-12 TOP MAIN SOLVE Loop x[1] 2.9199999999999804 y[1] (analytic) -0.0036078329240788773 y[1] (numeric) -0.003607832924066389 absolute error 1.2488274303557034e-14 relative error 3.4614336545934813e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.0800000000000196 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.1762500000000204 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.0776894223556144 Order of pole (three term test) 1225.0262565641438 Radius of convergence (six term test) for eq 1 0.9965154725954412 Order of pole (six term test) 2.459898951201467e-11 TOP MAIN SOLVE Loop x[1] 2.92999999999998 y[1] (analytic) -0.0036669764648932434 y[1] (numeric) -0.003666976464880309 absolute error 1.2934531917752068e-14 relative error 3.5273015907203624e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.07000000000002 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.165937500000021 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.06769692423109 Order of pole (three term test) 1225.0262565641463 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.93999999999998 y[1] (analytic) -0.0037272872832505603 y[1] (numeric) -0.0037272872832371643 absolute error 1.3395968362361899e-14 relative error 3.594026256725588e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.06000000000002 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.1556250000000206 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.0577044261065582 Order of pole (three term test) 1225.026256564146 Radius of convergence (six term test) for eq 1 2.3582918174150915 Order of pole (six term test) 8.600054002272373e-11 TOP MAIN SOLVE Loop x[1] 2.9499999999999797 y[1] (analytic) -0.0037887923451844405 y[1] (numeric) -0.0037887923451705653 absolute error 1.3875185722600492e-14 relative error 3.6621657928114925e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.0500000000000203 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.1453125000000206 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.047711927982014 Order of pole (three term test) 1225.0262565641403 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9599999999999795 y[1] (analytic) -0.003851519331037321 y[1] (numeric) -0.003851519331022949 absolute error 1.4372183998467847e-14 relative error 3.7315622130337375e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.0400000000000205 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.1350000000000207 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.0377194298575008 Order of pole (three term test) 1225.0262565641476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9699999999999793 y[1] (analytic) -0.003915496656817763 y[1] (numeric) -0.003915496656802876 absolute error 1.488652950909497e-14 relative error 3.8019517864162046e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.0300000000000207 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.124687500000021 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.0277269317329503 Order of pole (three term test) 1225.0262565641394 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.979999999999979 y[1] (analytic) -0.00398075349626963 y[1] (numeric) -0.00398075349625421 absolute error 1.5419956977957838e-14 relative error 3.873627691945232e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.020000000000021 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.114375000000021 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.0177344336084713 Order of pole (three term test) 1225.0262565641613 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.989999999999979 y[1] (analytic) -0.004047319803679338 y[1] (numeric) -0.004047319803663364 absolute error 1.5974201128532428e-14 relative error 3.9468591323103746e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.010000000000021 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.1040625000000213 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 3.0077419354838995 Order of pole (three term test) 1225.026256564144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9999999999999787 y[1] (analytic) -0.004115226337448414 y[1] (numeric) -0.004115226337431864 absolute error 1.6550129322556728e-14 relative error 4.021681425381427e-10% Correct digits 12 h 0.01 Radius of convergence (given) for eq 1 3.0000000000000213 Order of pole (given) 6.0 Radius of convergence (ratio test) for eq 1 3.093750000000022 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 2.997749437359386 Order of pole (three term test) 1225.0262565641513 Radius of convergence (six term test) for eq 1 3.454946327370493 Order of pole (six term test) 1.7006840380417998e-11 Finished! diff ( y , x , 1 ) = m1 * 5.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0) / ( x- 6.0) / ( x - 6.0) / ( x - 6.0) ; Iterations 101 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 101.99999999999783%