##############ECHO OF PROBLEM################# ##############temp/sing3postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=-2.0 x_end=-0.7 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=100 $glob_max_h=0.0001 # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=4 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=0.0 # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=0.0 # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=2.0 # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=0.0 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=10.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(1.0/x/x) 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 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 1.3 estimated_steps 1300000.0 step_error 7.692307692307693e-17 est_needed_step_err 7.692307692307693e-17 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.152559056001943e-102 estimated_step_error 7.152559056001943e-102 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 4.68750220588339e-97 estimated_step_error 4.68750220588339e-97 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 3.072002891296846e-92 estimated_step_error 3.072002891296846e-92 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 2.0132697096841825e-87 estimated_step_error 2.0132697096841825e-87 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 1.3194189205554354e-82 estimated_step_error 1.3194189205554354e-82 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 8.646976391198815e-78 estimated_step_error 8.646976391198815e-78 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 5.666925116673318e-73 estimated_step_error 5.666925116673318e-73 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 3.713931972760191e-68 estimated_step_error 3.713931972760191e-68 best_h 0.0001 START of Soultion TOP MAIN SOLVE Loop x[1] -2.0 y[1] (analytic) 0.25 y[1] (numeric) 0.25 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.0001 Radius of convergence (given) for eq 1 2.0 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.0000000000000067 Order of pole (three term test) 2.7494369904252926e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9899000000000011 y[1] (analytic) 0.2525442564805524 y[1] (numeric) 0.2525442564805529 absolute error 4.996003610813204e-16 relative error 1.9782685539704325e-13% Correct digits 15 h 0.0001 Radius of convergence (given) for eq 1 1.9899000000000011 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9899000000000056 Order of pole (three term test) 4.7240170627163886e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9799000000000022 y[1] (analytic) 0.25510177985761745 y[1] (numeric) 0.2551017798576184 absolute error 9.43689570931383e-16 relative error 3.69926690224621e-13% Correct digits 15 h 0.0001 Radius of convergence (given) for eq 1 1.9799000000000022 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9799000000000149 Order of pole (three term test) 4.061360740181141e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9699000000000033 y[1] (analytic) 0.25769835104571753 y[1] (numeric) 0.257698351045719 absolute error 1.4432899320127035e-15 relative error 5.600695255347806e-13% Correct digits 15 h 0.0001 Radius of convergence (given) for eq 1 1.9699000000000033 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9699000000000098 Order of pole (three term test) 3.48898661177678e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9599000000000044 y[1] (analytic) 0.26033476900929287 y[1] (numeric) 0.2603347690092949 absolute error 2.0539125955565396e-15 relative error 7.889505513891706e-13% Correct digits 15 h 0.0001 Radius of convergence (given) for eq 1 1.9599000000000044 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9599000000000095 Order of pole (three term test) 2.994961778468395e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9499000000000055 y[1] (analytic) 0.2630118532525034 y[1] (numeric) 0.26301185325250553 absolute error 2.1094237467877974e-15 relative error 8.020261142993635e-13% Correct digits 15 h 0.0001 Radius of convergence (given) for eq 1 1.9499000000000055 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9499000000000153 Order of pole (three term test) 7.706644575844091e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9399000000000066 y[1] (analytic) 0.2657304444561424 y[1] (numeric) 0.26573044445614463 absolute error 2.220446049250313e-15 relative error 8.356009240095888e-13% Correct digits 15 h 0.0001 Radius of convergence (given) for eq 1 1.9399000000000066 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9399000000000086 Order of pole (three term test) 4.403359907825407e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9299000000000077 y[1] (analytic) 0.26849140513771136 y[1] (numeric) 0.2684914051377139 absolute error 2.55351295663786e-15 relative error 9.51059478171431e-13% Correct digits 15 h 0.0001 Radius of convergence (given) for eq 1 1.9299000000000077 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.929900000000007 Order of pole (three term test) 3.77092657593993e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9199000000000088 y[1] (analytic) 0.2712956203356238 y[1] (numeric) 0.27129562033562626 absolute error 2.4424906541753444e-15 relative error 9.003059655565774e-13% Correct digits 15 h 0.0001 Radius of convergence (given) for eq 1 1.9199000000000088 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.9199000000000157 Order of pole (three term test) 3.226726464337628e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.90990000000001 y[1] (analytic) 0.2741439983185514 y[1] (numeric) 0.2741439983185539 absolute error 2.4980018054066022e-15 relative error 9.112006174594271e-13% Correct digits 15 h 0.0001 Radius of convergence (given) for eq 1 1.90990000000001 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.909900000000015 Order of pole (three term test) 2.7588161161833264e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.899900000000011 y[1] (analytic) 0.2770374713209739 y[1] (numeric) 0.2770374713209768 absolute error 2.886579864025407e-15 relative error 1.0419456437649308e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.899900000000011 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8999000000000146 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8899000000000121 y[1] (analytic) 0.2799769963060443 y[1] (numeric) 0.27997699630604744 absolute error 3.164135620181696e-15 relative error 1.130141283722811e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.8899000000000121 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8899000000000192 Order of pole (three term test) 4.023450281141563e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8799000000000132 y[1] (analytic) 0.2829635557569361 y[1] (numeric) 0.2829635557569396 absolute error 3.497202527569243e-15 relative error 1.2359197700262566e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.8799000000000132 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8799000000000223 Order of pole (three term test) 6.86287866057214e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8699000000000143 y[1] (analytic) 0.2859981584978928 y[1] (numeric) 0.28599815849789634 absolute error 3.552713678800501e-15 relative error 1.2422155784008927e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.8699000000000143 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8699000000000205 Order of pole (three term test) 2.924053649989622e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8599000000000154 y[1] (analytic) 0.28908184054626207 y[1] (numeric) 0.28908184054626623 absolute error 4.163336342344337e-15 relative error 1.4401929690488717e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.8599000000000154 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8599000000000112 Order of pole (three term test) 4.97910995204174e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8499000000000165 y[1] (analytic) 0.29221566599685733 y[1] (numeric) 0.2922156659968616 absolute error 4.274358644806853e-15 relative error 1.4627410991896723e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.8499000000000165 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8499000000000163 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8399000000000176 y[1] (analytic) 0.29540072794005656 y[1] (numeric) 0.29540072794006117 absolute error 4.6074255521944e-15 relative error 1.5597204462980707e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.8399000000000176 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8399000000000287 Order of pole (three term test) 7.199800487026127e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8299000000000187 y[1] (analytic) 0.29863814941511657 y[1] (numeric) 0.29863814941512157 absolute error 4.9960036108132044e-15 relative error 1.6729288004891163e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.8299000000000187 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8299000000000278 Order of pole (three term test) 3.0569236953037363e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8199000000000198 y[1] (analytic) 0.30192908440025634 y[1] (numeric) 0.30192908440026156 absolute error 5.218048215738236e-15 relative error 1.728236359244166e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.8199000000000198 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8199000000000243 Order of pole (three term test) 2.593520193907296e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.809900000000021 y[1] (analytic) 0.3052747188411374 y[1] (numeric) 0.3052747188411431 absolute error 5.717648576819556e-15 relative error 1.872951877091066e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.809900000000021 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.8099000000000276 Order of pole (three term test) 4.3967450242530646e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.799900000000022 y[1] (analytic) 0.3086762717194543 y[1] (numeric) 0.3086762717194607 absolute error 6.439293542825908e-15 relative error 2.086099299747397e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.799900000000022 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7999000000000314 Order of pole (three term test) 7.44689420789425e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7899000000000231 y[1] (analytic) 0.31213499616343143 y[1] (numeric) 0.3121349961634381 absolute error 6.661338147750939e-15 relative error 2.1341208866765824e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.7899000000000231 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7899000000000256 Order of pole (three term test) 3.1503363253017706e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7799000000000242 y[1] (analytic) 0.3156521806021163 y[1] (numeric) 0.31565218060212347 absolute error 7.16093850883226e-15 relative error 2.268616834888499e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.7799000000000242 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7799000000000356 Order of pole (three term test) 1.0651774474525155e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7699000000000253 y[1] (analytic) 0.319229149965453 y[1] (numeric) 0.3192291499654604 absolute error 7.438494264988549e-15 relative error 2.330142553019843e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.7699000000000253 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7699000000000316 Order of pole (three term test) 4.4976510021402906e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7599000000000264 y[1] (analytic) 0.3228672669322241 y[1] (numeric) 0.3228672669322319 absolute error 7.771561172376096e-15 relative error 2.407045237573585e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.7599000000000264 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7599000000000287 Order of pole (three term test) 3.794579132408096e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7499000000000275 y[1] (analytic) 0.3265679332280552 y[1] (numeric) 0.32656793322806316 absolute error 7.93809462606987e-15 relative error 2.430763653860156e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.7499000000000275 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7499000000000327 Order of pole (three term test) 3.1983118697134065e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7399000000000286 y[1] (analytic) 0.3303325909757896 y[1] (numeric) 0.3303325909757981 absolute error 8.493206138382448e-15 relative error 2.571107535376345e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.7399000000000286 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7399000000000262 Order of pole (three term test) 5.386200481488755e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7299000000000297 y[1] (analytic) 0.33416272410066394 y[1] (numeric) 0.3341627241006728 absolute error 8.881784197001252e-15 relative error 2.6579218914691643e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.7299000000000297 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7299000000000344 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7199000000000308 y[1] (analytic) 0.3380598597928388 y[1] (numeric) 0.33805985979284825 absolute error 9.43689570931383e-15 relative error 2.791486606867999e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.7199000000000308 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7199000000000368 Order of pole (three term test) 3.807586390519308e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.709900000000032 y[1] (analytic) 0.34202557002997747 y[1] (numeric) 0.3420255700299874 absolute error 9.936496070395151e-15 relative error 2.9051909977152434e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.709900000000032 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.7099000000000335 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.699900000000033 y[1] (analytic) 0.34606147316270647 y[1] (numeric) 0.3460614731627168 absolute error 1.0325074129013956e-14 relative error 2.983595381089837e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.699900000000033 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6999000000000322 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6899000000000342 y[1] (analytic) 0.3501692355659426 y[1] (numeric) 0.3501692355659532 absolute error 1.0602629885170245e-14 relative error 3.0278587632161067e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.6899000000000342 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6899000000000415 Order of pole (three term test) 4.491734163978496e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6799000000000353 y[1] (analytic) 0.35435057335923364 y[1] (numeric) 0.3543505733592445 absolute error 1.0880185641326534e-14 relative error 3.0704580320507667e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.6799000000000353 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6799000000000333 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6699000000000364 y[1] (analytic) 0.3586072541994286 y[1] (numeric) 0.35860725419943995 absolute error 1.1324274851176597e-14 relative error 3.1578487937890243e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.6699000000000364 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6699000000000435 Order of pole (three term test) 3.142662968150588e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6599000000000375 y[1] (analytic) 0.36294109914917305 y[1] (numeric) 0.3629410991491852 absolute error 1.2156942119645464e-14 relative error 3.3495633721682256e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.6599000000000375 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6599000000000343 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6499000000000386 y[1] (analytic) 0.36735398462491814 y[1] (numeric) 0.36735398462493063 absolute error 1.2490009027033011e-14 relative error 3.399992799802013e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.6499000000000386 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6499000000000388 Order of pole (three term test) 4.3786732549079524e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6399000000000397 y[1] (analytic) 0.37184784442833346 y[1] (numeric) 0.3718478444283466 absolute error 1.3156142841808105e-14 relative error 3.5380446704038105e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.6399000000000397 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6399000000000497 Order of pole (three term test) 7.297344244095267e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6299000000000408 y[1] (analytic) 0.37642467186523065 y[1] (numeric) 0.3764246718652444 absolute error 1.3766765505351941e-14 relative error 3.657243144328431e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.6299000000000408 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6299000000000472 Order of pole (three term test) 6.073970112626277e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6199000000000419 y[1] (analytic) 0.3810865219563317 y[1] (numeric) 0.381086521956346 absolute error 1.432187701766452e-14 relative error 3.758169390022576e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.6199000000000419 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6199000000000472 Order of pole (three term test) 2.5249921063500048e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.609900000000043 y[1] (analytic) 0.3858355137444609 y[1] (numeric) 0.3858355137444758 absolute error 1.4876988529977098e-14 relative error 3.855785172701893e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.609900000000043 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.6099000000000399 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.599900000000044 y[1] (analytic) 0.39067383270299666 y[1] (numeric) 0.39067383270301176 absolute error 1.509903313490213e-14 relative error 3.864869328573875e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.599900000000044 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5999000000000507 Order of pole (three term test) 3.4787963848613115e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5899000000000452 y[1] (analytic) 0.39560373325069403 y[1] (numeric) 0.39560373325070974 absolute error 1.5709655798445965e-14 relative error 3.971058531060615e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.5899000000000452 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5899000000000487 Order of pole (three term test) 2.882293075002365e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5799000000000463 y[1] (analytic) 0.4006275413782813 y[1] (numeric) 0.4006275413782977 absolute error 1.637578961322106e-14 relative error 4.0875346604687565e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.5799000000000463 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.579900000000048 Order of pole (three term test) 2.3852386104965567e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5699000000000474 y[1] (analytic) 0.4057476573925451 y[1] (numeric) 0.4057476573925622 absolute error 1.709743457922741e-14 relative error 4.213809807085665e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.5699000000000474 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.569900000000049 Order of pole (three term test) 3.943061378612857e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5599000000000485 y[1] (analytic) 0.4109665587839467 y[1] (numeric) 0.41096655878396443 absolute error 1.7708057242771247e-14 relative error 4.308880336923161e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.5599000000000485 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.55990000000005 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5499000000000496 y[1] (analytic) 0.4162868032241696 y[1] (numeric) 0.4162868032241877 absolute error 1.8096635301390052e-14 relative error 4.3471556535615305e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.5499000000000496 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.54990000000005 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5399000000000507 y[1] (analytic) 0.42171103170036583 y[1] (numeric) 0.42171103170038443 absolute error 1.8596235662471372e-14 relative error 4.409710504249832e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.5399000000000507 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5399000000000607 Order of pole (three term test) 8.841163344191247e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5299000000000518 y[1] (analytic) 0.42724197179327666 y[1] (numeric) 0.4272419717932961 absolute error 1.942890293094024e-14 relative error 4.547517382103324e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.5299000000000518 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.529900000000052 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5199000000000529 y[1] (analytic) 0.4328824411068224 y[1] (numeric) 0.43288244110684265 absolute error 2.0261570199409107e-14 relative error 4.680617247399314e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.5199000000000529 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.519900000000056 Order of pole (three term test) 2.9864434759572944e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.509900000000054 y[1] (analytic) 0.4386353508572141 y[1] (numeric) 0.43863535085723504 absolute error 2.09277040141842e-14 relative error 4.771093796540957e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.509900000000054 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.5099000000000613 Order of pole (three term test) 2.4499058957830928e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.499900000000055 y[1] (analytic) 0.44450370963012376 y[1] (numeric) 0.44450370963014535 absolute error 2.1593837828959295e-14 relative error 4.857965717975167e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.499900000000055 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4999000000000586 Order of pole (three term test) 4.0142368998116064e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4899000000000562 y[1] (analytic) 0.450490627314967 y[1] (numeric) 0.45049062731498896 absolute error 2.19824158875781e-14 relative error 4.879661097190548e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.4899000000000562 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.489900000000056 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4799000000000573 y[1] (analytic) 0.4565993192259041 y[1] (numeric) 0.4565993192259269 absolute error 2.2815083156046967e-14 relative error 4.9967405108545785e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.4799000000000573 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4799000000000595 Order of pole (three term test) 5.3670414096837164e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4699000000000584 y[1] (analytic) 0.462833110419757 y[1] (numeric) 0.4628331104197807 absolute error 2.3703261575747092e-14 relative error 5.12134094171653e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.4699000000000584 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4699000000000595 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4599000000000595 y[1] (analytic) 0.46919544022166865 y[1] (numeric) 0.46919544022169285 absolute error 2.4202861936828413e-14 relative error 5.158375351089071e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.4599000000000595 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4599000000000704 Order of pole (three term test) 3.568264980230458e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4499000000000606 y[1] (analytic) 0.4756898669700067 y[1] (numeric) 0.4756898669700318 absolute error 2.5091040356528538e-14 relative error 5.274663619881266e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.4499000000000606 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4499000000000708 Order of pole (three term test) 5.806779461797652e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4399000000000617 y[1] (analytic) 0.4823200729927351 y[1] (numeric) 0.4823200729927608 absolute error 2.5701663020072374e-14 relative error 5.328756661649349e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.4399000000000617 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.439900000000066 Order of pole (three term test) 4.718063563886493e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4299000000000628 y[1] (analytic) 0.48908986982824804 y[1] (numeric) 0.4890898698282744 absolute error 2.6367796834847468e-14 relative error 5.391196682136752e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.4299000000000628 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4299000000000632 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4199000000000639 y[1] (analytic) 0.4960032037044882 y[1] (numeric) 0.49600320370451556 absolute error 2.736699755701011e-14 relative error 5.517504192032394e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.4199000000000639 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.419900000000069 Order of pole (three term test) 3.1011774114022745e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.409900000000065 y[1] (analytic) 0.5030641612910569 y[1] (numeric) 0.5030641612910853 absolute error 2.842170943040401e-14 relative error 5.649718588074914e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.409900000000065 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.4099000000000672 Order of pole (three term test) 5.017335564733904e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.399900000000066 y[1] (analytic) 0.5102769757399709 y[1] (numeric) 0.5102769757400001 absolute error 2.919886554764162e-14 relative error 5.722160108301829e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.399900000000066 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3999000000000659 Order of pole (three term test) 4.0526046468605255e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3899000000000672 y[1] (analytic) 0.5176460330317405 y[1] (numeric) 0.5176460330317704 absolute error 2.986499936241671e-14 relative error 5.769386309695815e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.3899000000000672 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3899000000000723 Order of pole (three term test) 3.268364462405758e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3799000000000683 y[1] (analytic) 0.5251758786445327 y[1] (numeric) 0.5251758786445634 absolute error 3.064215547965432e-14 relative error 5.834646396696863e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.3799000000000683 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3799000000000738 Order of pole (three term test) 5.2635925922953203e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3699000000000694 y[1] (analytic) 0.5328712245653564 y[1] (numeric) 0.5328712245653878 absolute error 3.141931159689193e-14 relative error 5.8962297359028e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.3699000000000694 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3699000000000725 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3599000000000705 y[1] (analytic) 0.540736956663462 y[1] (numeric) 0.5407369566634945 absolute error 3.2529534621517087e-14 relative error 6.0157779527842524e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.3599000000000705 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3599000000000738 Order of pole (three term test) 3.396745752526749e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3499000000000716 y[1] (analytic) 0.5487781424475026 y[1] (numeric) 0.5487781424475354 absolute error 3.2862601528904634e-14 relative error 5.9883218712648255e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.3499000000000716 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.349900000000076 Order of pole (three term test) 5.444170821442603e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3399000000000727 y[1] (analytic) 0.5570000392294523 y[1] (numeric) 0.5570000392294862 absolute error 3.3861802251067274e-14 relative error 6.079317749763773e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.3399000000000727 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3399000000000796 Order of pole (three term test) 4.3556746953872474e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3299000000000738 y[1] (analytic) 0.5654081027198437 y[1] (numeric) 0.5654081027198783 absolute error 3.4638958368304884e-14 relative error 6.126363984116493e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.3299000000000738 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.3299000000000738 Order of pole (three term test) 3.478991790215966e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.319900000000075 y[1] (analytic) 0.5740079960805623 y[1] (numeric) 0.5740079960805977 absolute error 3.5416114485542494e-14 relative error 6.169968837955321e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.319900000000075 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.319900000000077 Order of pole (three term test) 2.774052584266829e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.309900000000076 y[1] (analytic) 0.5828055994632524 y[1] (numeric) 0.5828055994632888 absolute error 3.6415315207705135e-14 relative error 6.248278197951876e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.309900000000076 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.309900000000078 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.299900000000077 y[1] (analytic) 0.59180702006333 y[1] (numeric) 0.5918070200633677 absolute error 3.774758283725532e-14 relative error 6.37836010009072e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.299900000000077 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.299900000000077 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2899000000000782 y[1] (analytic) 0.6010186027217084 y[1] (numeric) 0.6010186027217476 absolute error 3.9190872769268026e-14 relative error 6.5207420522081085e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.2899000000000782 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2899000000000826 Order of pole (three term test) 2.7835248423847245e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2799000000000793 y[1] (analytic) 0.6104469411086002 y[1] (numeric) 0.6104469411086406 absolute error 4.04121180963557e-14 relative error 6.620086919096589e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.2799000000000793 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2799000000000869 Order of pole (three term test) 8.815663049256176e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2699000000000804 y[1] (analytic) 0.6200988895262101 y[1] (numeric) 0.6200988895262514 absolute error 4.1300296516055823e-14 relative error 6.660275838844275e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.2699000000000804 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.269900000000085 Order of pole (three term test) 6.967219709646954e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2599000000000815 y[1] (analytic) 0.6299815753697707 y[1] (numeric) 0.6299815753698135 absolute error 4.2743586448068527e-14 relative error 6.7848946888613326e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.2599000000000815 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2599000000000882 Order of pole (three term test) 8.244177759371178e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2499000000000826 y[1] (analytic) 0.6401024122892263 y[1] (numeric) 0.6401024122892697 absolute error 4.340972026284362e-14 relative error 6.781683591473361e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.2499000000000826 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2499000000000864 Order of pole (three term test) 4.327447941696618e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2399000000000837 y[1] (analytic) 0.6504691140969496 y[1] (numeric) 0.6504691140969949 absolute error 4.529709940470639e-14 relative error 6.963758681700458e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.2399000000000837 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2399000000000902 Order of pole (three term test) 3.400741414833565e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2299000000000848 y[1] (analytic) 0.6610897094702192 y[1] (numeric) 0.6610897094702655 absolute error 4.629630012686903e-14 relative error 7.0030284035081604e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.2299000000000848 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2299000000000855 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.219900000000086 y[1] (analytic) 0.6719725575007819 y[1] (numeric) 0.671972557500829 absolute error 4.707345624410664e-14 relative error 7.005264682114918e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.219900000000086 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.21990000000009 Order of pole (three term test) 4.1757139958996525e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.209900000000087 y[1] (analytic) 0.6831263641477469 y[1] (numeric) 0.6831263641477953 absolute error 4.8405723873656825e-14 relative error 7.085910662231097e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.209900000000087 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2099000000000895 Order of pole (three term test) 3.262031179148973e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1999000000000881 y[1] (analytic) 0.6945601996542834 y[1] (numeric) 0.6945601996543334 absolute error 4.9960036108132044e-14 relative error 7.193046208665512e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.1999000000000881 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1999000000000872 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1899000000000892 y[1] (analytic) 0.706283516993192 y[1] (numeric) 0.7062835169932431 absolute error 5.10702591327572e-14 relative error 7.230843974693731e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.1899000000000892 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.189900000000096 Order of pole (three term test) 7.91366629749507e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1799000000000903 y[1] (analytic) 0.7183061714114035 y[1] (numeric) 0.7183061714114563 absolute error 5.2735593669694936e-14 relative error 7.341659555294436e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.1799000000000903 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1799000000000959 Order of pole (three term test) 3.0717780697584665e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1699000000000914 y[1] (analytic) 0.73063844114887 y[1] (numeric) 0.7306384411489243 absolute error 5.4289905904170155e-14 relative error 7.430474889714762e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.1699000000000914 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1699000000000948 Order of pole (three term test) 4.759113106641548e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1599000000000925 y[1] (analytic) 0.7432910494131939 y[1] (numeric) 0.7432910494132501 absolute error 5.617728504603292e-14 relative error 7.557912218959614e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.1599000000000925 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.159900000000095 Order of pole (three term test) 7.357160762411924e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1499000000000936 y[1] (analytic) 0.7562751876977359 y[1] (numeric) 0.7562751876977934 absolute error 5.750955267558311e-14 relative error 7.604315679145119e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.1499000000000936 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1499000000000954 Order of pole (three term test) 2.8370436417771743e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1399000000000947 y[1] (analytic) 0.769602540537897 y[1] (numeric) 0.7696025405379561 absolute error 5.906386491005833e-14 relative error 7.674593286656371e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.1399000000000947 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1399000000000963 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1299000000000958 y[1] (analytic) 0.7832853118078517 y[1] (numeric) 0.7832853118079123 absolute error 6.061817714453355e-14 relative error 7.738965129401512e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.1299000000000958 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1299000000001023 Order of pole (three term test) 6.703846289357817e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.119900000000097 y[1] (analytic) 0.7973362526682575 y[1] (numeric) 0.7973362526683198 absolute error 6.228351168147128e-14 relative error 7.811448616946956e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.119900000000097 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1199000000001034 Order of pole (three term test) 5.134535111195635e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.109900000000098 y[1] (analytic) 0.8117686912844749 y[1] (numeric) 0.8117686912845388 absolute error 6.38378239159465e-14 relative error 7.864041148832048e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.109900000000098 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1099000000000985 Order of pole (three term test) 3.923189900444335e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0999000000000991 y[1] (analytic) 0.8265965644446545 y[1] (numeric) 0.8265965644447203 absolute error 6.583622536027178e-14 relative error 7.964734937472622e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.0999000000000991 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0999000000001034 Order of pole (three term test) 5.980670083098015e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0899000000001002 y[1] (analytic) 0.8418344512177738 y[1] (numeric) 0.8418344512178412 absolute error 6.7390537594747e-14 relative error 8.005200725304336e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.0899000000001002 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0899000000001058 Order of pole (three term test) 9.09459486561368e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0799000000001013 y[1] (analytic) 0.8574976088034446 y[1] (numeric) 0.8574976088035143 absolute error 6.972200594645983e-14 relative error 8.130868847990162e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.0799000000001013 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0799000000001087 Order of pole (three term test) 1.0346209643855726e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0699000000001024 y[1] (analytic) 0.8736020107381312 y[1] (numeric) 0.8736020107382028 absolute error 7.16093850883226e-14 relative error 8.197026129532119e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.0699000000001024 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0699000000001055 Order of pole (three term test) 5.217703610390065e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0599000000001035 y[1] (analytic) 0.8901643876364718 y[1] (numeric) 0.890164387636545 absolute error 7.327471962526033e-14 relative error 8.231594146314524e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.0599000000001035 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.059900000000107 Order of pole (three term test) 3.936683904729543e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0499000000001046 y[1] (analytic) 0.9072022706617842 y[1] (numeric) 0.9072022706618595 absolute error 7.538414337204813e-14 relative error 8.309518815143292e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.0499000000001046 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0499000000001053 Order of pole (three term test) 2.962250978416465e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0399000000001057 y[1] (analytic) 0.9247340379367115 y[1] (numeric) 0.9247340379367884 absolute error 7.693845560652335e-14 relative error 8.320063115465097e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.0399000000001057 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0399000000001082 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0299000000001068 y[1] (analytic) 0.9427789641234917 y[1] (numeric) 0.9427789641235703 absolute error 7.860379014346108e-14 relative error 8.337456936848351e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.0299000000001068 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0299000000001082 Order of pole (three term test) 3.3270974388075056e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.019900000000108 y[1] (analytic) 0.9613572734236775 y[1] (numeric) 0.9613572734237578 absolute error 8.026912468039882e-14 relative error 8.349562321876105e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.019900000000108 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0199000000001106 Order of pole (three term test) 4.96559762683987e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.009900000000109 y[1] (analytic) 0.9804901962695114 y[1] (numeric) 0.9804901962695942 absolute error 8.282263763703668e-14 relative error 8.447064330898305e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 1.009900000000109 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.009900000000111 Order of pole (three term test) 3.6948340504803824e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9999000000001101 y[1] (analytic) 1.00020003000378 y[1] (numeric) 1.0002000300038654 absolute error 8.526512829121202e-14 relative error 8.524807611822385e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.9999000000001101 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9999000000001125 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9899000000001112 y[1] (analytic) 1.0205102038720946 y[1] (numeric) 1.0205102038721827 absolute error 8.815170815523743e-14 relative error 8.638003600626996e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.9899000000001112 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9899000000001177 Order of pole (three term test) 8.110422714503824e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9799000000001123 y[1] (analytic) 1.0414453486814441 y[1] (numeric) 1.041445348681535 absolute error 9.08162434143378e-14 relative error 8.720212109960324e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.9799000000001123 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9799000000001177 Order of pole (three term test) 2.990380809460052e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9699000000001134 y[1] (analytic) 1.0630313715118775 y[1] (numeric) 1.0630313715119724 absolute error 9.481304630298837e-14 relative error 8.919120248365032e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.9699000000001134 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9699000000001136 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9599000000001146 y[1] (analytic) 1.0852955359046221 y[1] (numeric) 1.0852955359047185 absolute error 9.636735853746359e-14 relative error 8.879365605898202e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.9599000000001146 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9599000000001144 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9499000000001157 y[1] (analytic) 1.1082665479902594 y[1] (numeric) 1.1082665479903586 absolute error 9.9253938401489e-14 relative error 8.955782215160874e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.9499000000001157 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9499000000001161 Order of pole (three term test) 2.353100048774284e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9399000000001168 y[1] (analytic) 1.1319746490652212 y[1] (numeric) 1.1319746490653226 absolute error 1.0147438445073931e-13 relative error 8.964368993116262e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.9399000000001168 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9399000000001191 Order of pole (three term test) 3.425967559596096e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9299000000001179 y[1] (analytic) 1.1564517151742997 y[1] (numeric) 1.1564517151744036 absolute error 1.0391687510491465e-13 relative error 8.98583777786627e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.9299000000001179 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.92990000000012 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.919900000000119 y[1] (analytic) 1.181731364311745 y[1] (numeric) 1.1817313643118523 absolute error 1.0724754417879012e-13 relative error 9.075458891729798e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.919900000000119 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9199000000001227 Order of pole (three term test) 7.188070290899832e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9099000000001201 y[1] (analytic) 1.2078490719144233 y[1] (numeric) 1.2078490719145336 absolute error 1.1035616864774056e-13 relative error 9.136585953808586e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.9099000000001201 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9099000000001237 Order of pole (three term test) 5.1784966605726995e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8999000000001212 y[1] (analytic) 1.234842295388244 y[1] (numeric) 1.2348422953883575 absolute error 1.13464793116691e-13 relative error 9.188605989643137e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.8999000000001212 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8999000000001246 Order of pole (three term test) 3.717246011041175e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8899000000001223 y[1] (analytic) 1.2627506084844458 y[1] (numeric) 1.2627506084845623 absolute error 1.1657341758564144e-13 relative error 9.231705516701587e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.8899000000001223 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8899000000001263 Order of pole (three term test) 5.3169178276006513e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8799000000001234 y[1] (analytic) 1.291615846426307 y[1] (numeric) 1.291615846426427 absolute error 1.199040866595169e-13 relative error 9.283262278894472e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.8799000000001234 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8799000000001266 Order of pole (three term test) 3.788116058844734e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8699000000001245 y[1] (analytic) 1.321482262780572 y[1] (numeric) 1.3214822627806966 absolute error 1.2456702336294256e-13 relative error 9.426310656704329e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.8699000000001245 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.869900000000128 Order of pole (three term test) 5.3769211307475285e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8599000000001256 y[1] (analytic) 1.3523966991725238 y[1] (numeric) 1.3523966991726524 absolute error 1.2856382625159313e-13 relative error 9.506369420322903e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.8599000000001256 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8599000000001269 Order of pole (three term test) 3.8009504615938627e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8499000000001267 y[1] (analytic) 1.3844087690606985 y[1] (numeric) 1.3844087690608302 absolute error 1.3167245072054357e-13 relative error 9.511096264572308e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.8499000000001267 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8499000000001307 Order of pole (three term test) 5.3520309201735024e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8399000000001278 y[1] (analytic) 1.4175710569182929 y[1] (numeric) 1.4175710569184303 absolute error 1.3744561044859438e-13 relative error 9.695853324445843e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.8399000000001278 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8399000000001294 Order of pole (three term test) 7.50483537517122e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8299000000001289 y[1] (analytic) 1.4519393343152742 y[1] (numeric) 1.4519393343154159 absolute error 1.4166445794216997e-13 relative error 9.756913019301738e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.8299000000001289 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8299000000001294 Order of pole (three term test) 5.2394616980489766e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.81990000000013 y[1] (analytic) 1.4875727945601769 y[1] (numeric) 1.4875727945603234 absolute error 1.4654943925052066e-13 relative error 9.851581030953863e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.81990000000013 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8199000000001322 Order of pole (three term test) 7.284006426694499e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8099000000001311 y[1] (analytic) 1.5245343077460571 y[1] (numeric) 1.524534307746208 absolute error 1.5076828674409626e-13 relative error 9.889464997806389e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.8099000000001311 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8099000000001344 Order of pole (three term test) 5.0406401794664594e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7999000000001322 y[1] (analytic) 1.56289069825388 y[1] (numeric) 1.5628906982540351 absolute error 1.5520917884259688e-13 relative error 9.93090425427718e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.7999000000001322 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7999000000001323 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7899000000001333 y[1] (analytic) 1.6027130470020163 y[1] (numeric) 1.6027130470021755 absolute error 1.5920598173124745e-13 relative error 9.933530024545133e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.7899000000001333 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7899000000001337 Order of pole (three term test) 0.0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7799000000001344 y[1] (analytic) 1.6440770209963194 y[1] (numeric) 1.6440770209964828 absolute error 1.6342482922482304e-13 relative error 9.940217346130581e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.7799000000001344 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7799000000001369 Order of pole (three term test) 6.497874655249674e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7699000000001355 y[1] (analytic) 1.687063233035762 y[1] (numeric) 1.687063233035929 absolute error 1.6697754290362354e-13 relative error 9.89752723157615e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.7699000000001355 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7699000000001366 Order of pole (three term test) 4.4119776945427443e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7599000000001366 y[1] (analytic) 1.7317576347689563 y[1] (numeric) 1.731757634769127 absolute error 1.7075230118734908e-13 relative error 9.86005765235908e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.7599000000001366 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7599000000001397 Order of pole (three term test) 5.961108823929173e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7499000000001377 y[1] (analytic) 1.7782519466828723 y[1] (numeric) 1.778251946683049 absolute error 1.7674750552032492e-13 relative error 9.939396149686628e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.7499000000001377 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7499000000001387 Order of pole (three term test) 4.006215647827481e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7399000000001388 y[1] (analytic) 1.8266441290436124 y[1] (numeric) 1.8266441290437936 absolute error 1.8118839761882555e-13 relative error 9.919195246514245e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.7399000000001388 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.739900000000139 Order of pole (three term test) 2.6780860949619704e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7299000000001399 y[1] (analytic) 1.877038898308089 y[1] (numeric) 1.877038898308277 absolute error 1.8807178037150152e-13 relative error 1.0019599516079513e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 0.7299000000001399 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7299000000001425 Order of pole (three term test) 7.121879409726371e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.719900000000141 y[1] (analytic) 1.9295482940942803 y[1] (numeric) 1.9295482940944728 absolute error 1.9251267247000214e-13 relative error 9.977084950877924e-12% Correct digits 14 h 0.0001 Radius of convergence (given) for eq 1 0.719900000000141 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7199000000001431 Order of pole (three term test) 2.3541217373492795e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7099000000001421 y[1] (analytic) 1.9842923024471815 y[1] (numeric) 1.9842923024473804 absolute error 1.9895196601282805e-13 relative error 1.002634368774526e-11% Correct digits 13 h 0.0001 Radius of convergence (given) for eq 1 0.7099000000001421 Order of pole (given) 2.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7099000000001459 Order of pole (three term test) 6.189263706949846e-14 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; Iterations 13001 Total Elapsed Time 7 Seconds Elapsed Time(since restart) 7 Seconds Time to Timeout 9 Minutes 53.0 Seconds Percent Done 100.0153846153736%