##############ECHO OF PROBLEM################# ##############temp/lin_coshpostode.ode################# diff ( y , x , 1 ) = cosh ( 2.0 * x + 3.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=0.1 x_end=2.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=100 #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(sinh(2.0*x+3.0)/2) 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 1.9 estimated_steps 1900000.0 step_error 5.263157894736842e-17 est_needed_step_err 5.263157894736842e-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 1.018875196180601e-174 estimated_step_error 1.018875196180601e-174 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 6.837555443259931e-167 estimated_step_error 6.837555443259931e-167 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 4.588605442313687e-159 estimated_step_error 4.588605442313687e-159 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 3.079360528058466e-151 estimated_step_error 3.079360528058466e-151 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 2.0665232545022208e-143 estimated_step_error 2.0665232545022208e-143 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 1.3868194558353992e-135 estimated_step_error 1.3868194558353992e-135 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 9.306776758387305e-128 estimated_step_error 9.306776758387305e-128 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 6.245657303597561e-120 estimated_step_error 6.245657303597561e-120 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 4.191369728977117e-112 estimated_step_error 4.191369728977117e-112 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 2.812753852070367e-104 estimated_step_error 2.812753852070367e-104 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 1.8875712408215734e-96 estimated_step_error 1.8875712408215734e-96 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 1.2666794080691695e-88 estimated_step_error 1.2666794080691695e-88 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 8.499894493986094e-81 estimated_step_error 8.499894493986094e-81 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 5.703313898165197e-73 estimated_step_error 5.703313898165197e-73 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 3.82626265779615e-65 estimated_step_error 3.82626265779615e-65 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 2.566194374864684e-57 estimated_step_error 2.566194374864684e-57 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 1.7200370042094184e-49 estimated_step_error 1.7200370042094184e-49 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 1.1514596931714887e-41 estimated_step_error 1.1514596931714887e-41 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 6.122941998282746 y[1] (numeric) 6.122941998282746 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499986196175249 Order of pole (three term test) 22.501661552686002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 6.247041280769291 y[1] (numeric) 6.247041280769286 absolute error 4.440892098500626e-15 relative error 7.108792625032491e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999872574610246 Order of pole (three term test) 22.501596402612158 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 6.373639463063135 y[1] (numeric) 6.373639463063128 absolute error 7.105427357601002e-15 relative error 1.114814761452819e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999882371516735 Order of pole (three term test) 22.501533807070935 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 6.502787186125196 y[1] (numeric) 6.502787186125188 absolute error 7.993605777301127e-15 relative error 1.2292584008218578e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999891415204645 Order of pole (three term test) 22.501473665901987 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 6.634536110766698 y[1] (numeric) 6.634536110766683 absolute error 1.509903313490213e-14 relative error 2.2758234913212736e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999899763583708 Order of pole (three term test) 22.501415882871882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 6.768938938314161 y[1] (numeric) 6.768938938314146 absolute error 1.509903313490213e-14 relative error 2.2306351516095402e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999907470111352 Order of pole (three term test) 22.50136036552005 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 6.906049431690679 y[1] (numeric) 6.906049431690657 absolute error 2.220446049250313e-14 relative error 3.215218876165389e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999914584135105 Order of pole (three term test) 22.50130702501102 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 7.045922436921753 y[1] (numeric) 7.045922436921731 absolute error 2.220446049250313e-14 relative error 3.1513915589175706e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999921151208523 Order of pole (three term test) 22.501255775992234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 7.1886139050744875 y[1] (numeric) 7.188613905074458 absolute error 2.930988785010413e-14 relative error 4.0772655531567915e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499992721338287 Order of pole (three term test) 22.501206536457563 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 7.334180914638709 y[1] (numeric) 7.334180914638679 absolute error 2.930988785010413e-14 relative error 3.9963409944800873e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999932809476405 Order of pole (three term test) 22.501159227616117 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 7.482681694359175 y[1] (numeric) 7.4826816943591385 absolute error 3.6415315207705135e-14 relative error 4.866612892962806e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999937975322947 Order of pole (three term test) 22.501113773766214 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 7.6341756465277975 y[1] (numeric) 7.63417564652776 absolute error 3.730349362740526e-14 relative error 4.886381366450713e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999942744001266 Order of pole (three term test) 22.501070102174243 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 7.788723370745403 y[1] (numeric) 7.788723370745359 absolute error 4.440892098500626e-14 relative error 5.701694471754773e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999947146046986 Order of pole (three term test) 22.501028142958347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 7.946386688162331 y[1] (numeric) 7.946386688162286 absolute error 4.529709940470639e-14 relative error 5.700339183365581e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999951209648041 Order of pole (three term test) 22.500987828976598 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 8.107228666207765 y[1] (numeric) 8.107228666207712 absolute error 5.3290705182007514e-14 relative error 6.573233268247602e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999954960825177 Order of pole (three term test) 22.50094909571961 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 8.271313643817498 y[1] (numeric) 8.271313643817445 absolute error 5.3290705182007514e-14 relative error 6.44283453352544e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999958423598617 Order of pole (three term test) 22.500911881207298 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 8.438707257170421 y[1] (numeric) 8.438707257170357 absolute error 6.394884621840902e-14 relative error 7.578038231397504e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999961620141814 Order of pole (three term test) 22.50087612588975 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 8.609476465943798 y[1] (numeric) 8.609476465943734 absolute error 6.394884621840902e-14 relative error 7.427727629126952e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999964570923439 Order of pole (three term test) 22.50084177255191 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 8.78368958009811 y[1] (numeric) 8.78368958009804 absolute error 7.105427357601002e-14 relative error 8.089342516953607e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999967294838502 Order of pole (three term test) 22.500808766222107 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 8.96141628720188 y[1] (numeric) 8.961416287201807 absolute error 7.283063041541027e-14 relative error 8.127133935226545e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.249999698093293 Order of pole (three term test) 22.500777054084026 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 9.14272768030768 y[1] (numeric) 9.142727680307598 absolute error 8.171241461241152e-14 relative error 8.937421901825874e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999972130497064 Order of pole (three term test) 22.500746585392232 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 9.327696286390255 y[1] (numeric) 9.327696286390173 absolute error 8.171241461241152e-14 relative error 8.760192453053548e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499997427320518 Order of pole (three term test) 22.50071731139102 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 9.516396095358337 y[1] (numeric) 9.516396095358246 absolute error 9.059419880941277e-14 relative error 9.519801183307249e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999976251174222 Order of pole (three term test) 22.500689185236347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 9.708902589651528 y[1] (numeric) 9.708902589651435 absolute error 9.237055564881302e-14 relative error 9.514005810220864e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999978077069912 Order of pole (three term test) 22.500662161920882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 9.905292774434347 y[1] (numeric) 9.905292774434246 absolute error 1.0125233984581428e-13 relative error 1.022204412848326e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999979762584196 Order of pole (three term test) 22.500636198202038 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 10.105645208399265 y[1] (numeric) 10.105645208399162 absolute error 1.0302869668521453e-13 relative error 1.0195162660132046e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499998131851008 Order of pole (three term test) 22.500611252532746 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 10.310040035191284 y[1] (numeric) 10.31004003519117 absolute error 1.1368683772161603e-13 relative error 1.1026808560739676e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999982754810787 Order of pole (three term test) 22.50058728499499 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 10.518559015466401 y[1] (numeric) 10.518559015466288 absolute error 1.1368683772161603e-13 relative error 1.0808214086592266e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999984080683518 Order of pole (three term test) 22.500564257235922 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 10.731285559597039 y[1] (numeric) 10.731285559596916 absolute error 1.2256862191861728e-13 relative error 1.1421615913389201e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999985304618375 Order of pole (three term test) 22.500542132406512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 10.948304761037223 y[1] (numeric) 10.948304761037098 absolute error 1.2434497875801753e-13 relative error 1.1357464143721672e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999986434452692 Order of pole (three term test) 22.500520875102563 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 11.169703430361173 y[1] (numeric) 11.169703430361038 absolute error 1.3500311979441904e-13 relative error 1.208654469978651e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499998747742127 Order of pole (three term test) 22.5005004513081 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 11.395570129988622 y[1] (numeric) 11.395570129988487 absolute error 1.3500311979441904e-13 relative error 1.1846982490076943e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999988440202656 Order of pole (three term test) 22.500480828340894 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 11.625995209611037 y[1] (numeric) 11.625995209610892 absolute error 1.4566126083082054e-13 relative error 1.2528928337283722e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999989328961922 Order of pole (three term test) 22.50046197480019 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 11.861070842332627 y[1] (numeric) 11.861070842332477 absolute error 1.4921397450962104e-13 relative error 1.2580143605337094e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999990149390156 Order of pole (three term test) 22.50044386051646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 12.100891061540876 y[1] (numeric) 12.100891061540716 absolute error 1.5987211554602254e-13 relative error 1.3211598611455072e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999090674089 Order of pole (three term test) 22.500426456503128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 12.345551798521099 y[1] (numeric) 12.345551798520937 absolute error 1.616484723854228e-13 relative error 1.3093661184491327e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999160586376 Order of pole (three term test) 22.500409734910193 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 12.595150920830289 y[1] (numeric) 12.595150920830118 absolute error 1.7053025658242404e-13 relative error 1.3539357936584572e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999992251235517 Order of pole (three term test) 22.500393668979644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 12.849788271445387 y[1] (numeric) 12.849788271445215 absolute error 1.723066134218243e-13 relative error 1.3409295918495525e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999284698876 Order of pole (three term test) 22.500378233002674 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 13.10956570870187 y[1] (numeric) 13.109565708701686 absolute error 1.8474111129762605e-13 relative error 1.4092084772495443e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999993396938328 Order of pole (three term test) 22.500363402278506 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 13.374587147038362 y[1] (numeric) 13.374587147038177 absolute error 1.8474111129762605e-13 relative error 1.3812845904446083e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999993904605772 Order of pole (three term test) 22.5003491530749 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 13.644958598563887 y[1] (numeric) 13.64495859856369 absolute error 1.971756091734278e-13 relative error 1.4450436602583775e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999994373241896 Order of pole (three term test) 22.50033546259015 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 13.920788215464034 y[1] (numeric) 13.920788215463835 absolute error 1.9895196601282805e-13 relative error 1.4291717030205262e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999994805847572 Order of pole (three term test) 22.500322308916637 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 14.202186333263363 y[1] (numeric) 14.20218633326315 absolute error 2.1316282072803006e-13 relative error 1.5009155331864297e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999520519295 Order of pole (three term test) 22.50030967100572 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 14.489265514960993 y[1] (numeric) 14.48926551496078 absolute error 2.1316282072803006e-13 relative error 1.4711775452518783e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999995573835207 Order of pole (three term test) 22.500297528634103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 14.782140596057403 y[1] (numeric) 14.782140596057175 absolute error 2.2737367544323206e-13 relative error 1.5381647466123796e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999995914134898 Order of pole (three term test) 22.500285862371438 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 15.08092873049006 y[1] (numeric) 15.08092873048983 absolute error 2.291500322826323e-13 relative error 1.5194689689060417e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999996228271107 Order of pole (three term test) 22.500274653549255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 15.385749437496656 y[1] (numeric) 15.385749437496413 absolute error 2.433608869978343e-13 relative error 1.5817291707918936e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999996518255385 Order of pole (three term test) 22.500263884231074 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 15.696724649424299 y[1] (numeric) 15.696724649424054 absolute error 2.4513724383723456e-13 relative error 1.561709524198256e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999996785944614 Order of pole (three term test) 22.500253537183735 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 16.013978760504177 y[1] (numeric) 16.013978760503917 absolute error 2.5934809855243657e-13 relative error 1.6195106939449404e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999997033052918 Order of pole (three term test) 22.500243595849767 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 16.33763867661081 y[1] (numeric) 16.337638676610545 absolute error 2.6290081223123707e-13 relative error 1.6091726438264886e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999726116264 Order of pole (three term test) 22.500234044320948 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 16.667833866026182 y[1] (numeric) 16.667833866025905 absolute error 2.7711166694643907e-13 relative error 1.6625535697909253e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999997471734456 Order of pole (three term test) 22.50022486731281 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 17.004696411228704 y[1] (numeric) 17.004696411228423 absolute error 2.8066438062523957e-13 relative error 1.6505109755438421e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999997666116733 Order of pole (three term test) 22.5002160501402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 17.34836106172804 y[1] (numeric) 17.34836106172774 absolute error 2.984279490192421e-13 relative error 1.7202083122284073e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999997845554195 Order of pole (three term test) 22.50020757869377 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 17.698965287966615 y[1] (numeric) 17.698965287966313 absolute error 3.019806626980426e-13 relative error 1.7062051808382088e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999998011195862 Order of pole (three term test) 22.500199439417433 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 18.056649336309743 y[1] (numeric) 18.056649336309423 absolute error 3.197442310920451e-13 relative error 1.7707838543947244e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999816410238 Order of pole (three term test) 22.5001916192866 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 18.42155628514591 y[1] (numeric) 18.42155628514559 absolute error 3.197442310920451e-13 relative error 1.7357069410572467e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999830525289 Order of pole (three term test) 22.50018410578743 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 18.79383210212018 y[1] (numeric) 18.793832102119843 absolute error 3.375077994860476e-13 relative error 1.7958434323140115e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999843555124 Order of pole (three term test) 22.500176886896707 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 19.173625702523054 y[1] (numeric) 19.173625702522713 absolute error 3.410605131648481e-13 relative error 1.7788003085924848e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999998555831765 Order of pole (three term test) 22.50016995106269 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 19.561089008858705 y[1] (numeric) 19.561089008858342 absolute error 3.623767952376511e-13 relative error 1.8525389617804004e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.249999986668647 Order of pole (three term test) 22.500163287186567 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 19.956377011615874 y[1] (numeric) 19.956377011615515 absolute error 3.588240815588506e-13 relative error 1.7980422065086878e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999998769361012 Order of pole (three term test) 22.500156884604728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 20.35964783126629 y[1] (numeric) 20.359647831265907 absolute error 3.836930773104541e-13 relative error 1.8845761994036903e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999998863977027 Order of pole (three term test) 22.500150733071667 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 20.77106278151478 y[1] (numeric) 20.771062781514395 absolute error 3.836930773104541e-13 relative error 1.847248170911707e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999998951318622 Order of pole (three term test) 22.500144822743646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 21.19078643382709 y[1] (numeric) 21.190786433826688 absolute error 4.014566457044566e-13 relative error 1.8944867712111284e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999031945075 Order of pole (three term test) 22.50013914416287 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 21.6189866832605 y[1] (numeric) 21.618986683260097 absolute error 4.014566457044566e-13 relative error 1.8569632868838527e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999106372675 Order of pole (three term test) 22.5001336882424 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 22.05583481562423 y[1] (numeric) 22.055834815623808 absolute error 4.227729277772596e-13 relative error 1.9168303141161067e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999175078003 Order of pole (three term test) 22.500128446251615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 22.501505575995914 y[1] (numeric) 22.501505575995488 absolute error 4.263256414560601e-13 relative error 1.894653848900024e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999923850102 Order of pole (three term test) 22.5001234098022 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 22.956177238622086 y[1] (numeric) 22.95617723862164 absolute error 4.476419235288631e-13 relative error 1.9499846114436613e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999297047845 Order of pole (three term test) 22.50011857083479 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 23.420031678230135 y[1] (numeric) 23.420031678229684 absolute error 4.511946372076636e-13 relative error 1.9265329928100278e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999935109338 Order of pole (three term test) 22.500113921605983 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 23.893254442780744 y[1] (numeric) 23.89325444278027 absolute error 4.725109192804666e-13 relative error 1.9775912921867954e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999400983683 Order of pole (three term test) 22.50010945467602 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 24.376034827689423 y[1] (numeric) 24.376034827688947 absolute error 4.760636329592671e-13 relative error 1.9529986575933713e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999447038257 Order of pole (three term test) 22.500105162896887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 24.86856595154733 y[1] (numeric) 24.86856595154683 absolute error 4.973799150320701e-13 relative error 2.0000345657290426e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999489551966 Order of pole (three term test) 22.500101039400803 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 25.371044833371133 y[1] (numeric) 25.371044833370632 absolute error 5.009326287108706e-13 relative error 1.974426484998293e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999528797076 Order of pole (three term test) 22.50009707758931 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 25.883672471413416 y[1] (numeric) 25.88367247141289 absolute error 5.258016244624741e-13 relative error 2.0314027116638213e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999565024875 Order of pole (three term test) 22.500093271122658 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 26.406653923564473 y[1] (numeric) 26.406653923563947 absolute error 5.258016244624741e-13 relative error 1.9911709601089036e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999598467354 Order of pole (three term test) 22.500089613909683 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 26.940198389378395 y[1] (numeric) 26.940198389377844 absolute error 5.506706202140776e-13 relative error 2.044048125611385e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999962933866 Order of pole (three term test) 22.50008610009808 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 27.484519293755483 y[1] (numeric) 27.484519293754925 absolute error 5.577760475716786e-13 relative error 2.0294189671289106e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999657836453 Order of pole (three term test) 22.50008272406499 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 28.039834372315237 y[1] (numeric) 28.03983437231465 absolute error 5.861977570020827e-13 relative error 2.090589228233307e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999684143234 Order of pole (three term test) 22.500079480408047 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 28.606365758493332 y[1] (numeric) 28.606365758492746 absolute error 5.861977570020827e-13 relative error 2.049186401205258e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999970842746 Order of pole (three term test) 22.500076363936714 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 29.18434007239815 y[1] (numeric) 29.184340072397536 absolute error 6.146194664324867e-13 relative error 2.105990626849154e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999730844621 Order of pole (three term test) 22.500073369663955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 29.773988511461624 y[1] (numeric) 29.773988511461006 absolute error 6.181721801112872e-13 relative error 2.0762155526234555e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999751538265 Order of pole (three term test) 22.50007049279831 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 30.375546942921513 y[1] (numeric) 30.375546942920867 absolute error 6.465938895416912e-13 relative error 2.1286658335953635e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999770640915 Order of pole (three term test) 22.50006772873618 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 30.989255998171238 y[1] (numeric) 30.989255998170588 absolute error 6.501466032204917e-13 relative error 2.097974224546916e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999788274876 Order of pole (three term test) 22.50006507305447 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 31.61536116901585 y[1] (numeric) 31.615361169015166 absolute error 6.821210263296962e-13 relative error 2.157562023989144e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999980455308 Order of pole (three term test) 22.50006252150353 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 32.25411290587181 y[1] (numeric) 32.254112905871125 absolute error 6.821210263296962e-13 relative error 2.1148342486440456e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999819579755 Order of pole (three term test) 22.500060070000334 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 32.90576671795072 y[1] (numeric) 32.90576671795 absolute error 7.176481631177012e-13 relative error 2.1809191357520032e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999983345112 Order of pole (three term test) 22.500057714621942 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 33.57058327546618 y[1] (numeric) 33.57058327546547 absolute error 7.105427357601002e-13 relative error 2.116563569747012e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999846256016 Order of pole (three term test) 22.500055451599263 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 34.248828513905615 y[1] (numeric) 34.24882851390486 absolute error 7.531752999057062e-13 relative error 2.199127189415848e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999858076405 Order of pole (three term test) 22.50005327731097 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 34.9407737404077 y[1] (numeric) 34.940773740406954 absolute error 7.460698725481052e-13 relative error 2.1352414176372497e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999868988013 Order of pole (three term test) 22.500051188277734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 35.64669574228918 y[1] (numeric) 35.6466957422884 absolute error 7.815970093361102e-13 relative error 2.1926212039026905e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999987906069 Order of pole (three term test) 22.500049181156662 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 36.36687689776317 y[1] (numeric) 36.36687689776238 absolute error 7.887024366937112e-13 relative error 2.168738434457709e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999888358942 Order of pole (three term test) 22.500047252735936 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) 37.10160528889444 y[1] (numeric) 37.10160528889362 absolute error 8.171241461241152e-13 relative error 2.2023956639113498e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999896942315 Order of pole (three term test) 22.50004539992967 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y[1] (analytic) 37.851174816835915 y[1] (numeric) 37.85117481683509 absolute error 8.242295734817162e-13 relative error 2.1775534774553553e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999904865775 Order of pole (three term test) 22.50004361977297 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) 38.61588531939317 y[1] (numeric) 38.61588531939235 absolute error 8.242295734817162e-13 relative error 2.13443137885999e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999912180038 Order of pole (three term test) 22.500041909417217 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) 39.39604269096356 y[1] (numeric) 39.3960426909627 absolute error 8.597567102697212e-13 relative error 2.182342823145857e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999918931956 Order of pole (three term test) 22.500040266125467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) 40.19195900489791 y[1] (numeric) 40.19195900489701 absolute error 9.023892744153272e-13 relative error 2.245198534128081e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999992516476 Order of pole (three term test) 22.500038687268106 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) 41.00395263833412 y[1] (numeric) 41.00395263833321 absolute error 9.094947017729282e-13 relative error 2.2180659259728344e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999930918368 Order of pole (three term test) 22.50003717031863 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) 41.83234839955231 y[1] (numeric) 41.8323483995514 absolute error 9.094947017729282e-13 relative error 2.1741421090828877e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999936229617 Order of pole (three term test) 22.50003571284959 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) 42.67747765790244 y[1] (numeric) 42.67747765790149 absolute error 9.521272659185342e-13 relative error 2.230982987210895e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999941132517 Order of pole (three term test) 22.50003431252874 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) 43.53967847635637 y[1] (numeric) 43.53967847635537 absolute error 1.0018652574217413e-12 relative error 2.3010396320813222e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999994565846 Order of pole (three term test) 22.500032967115246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) 44.419295746737575 y[1] (numeric) 44.41929574673658 absolute error 9.947598300641403e-13 relative error 2.2394768159673075e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999949836438 Order of pole (three term test) 22.500031674456167 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) 45.31668132768265 y[1] (numeric) 45.31668132768166 absolute error 9.947598300641403e-13 relative error 2.1951294775340713e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999953693194 Order of pole (three term test) 22.500030432482976 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) 46.232194185389325 y[1] (numeric) 46.23219418538828 absolute error 1.0444978215673473e-12 relative error 2.259243455716056e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999995725344 Order of pole (three term test) 22.500029239208263 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) 47.166200537207615 y[1] (numeric) 47.166200537206535 absolute error 1.0800249583553523e-12 relative error 2.2898281948815485e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999960539945 Order of pole (three term test) 22.500028092722506 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 48.11907399813181 y[1] (numeric) 48.11907399813073 absolute error 1.0800249583553523e-12 relative error 2.244484086284128e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999963573777 Order of pole (three term test) 22.500026991191096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) 49.09119573025147 y[1] (numeric) 49.091195730250384 absolute error 1.0871303857129533e-12 relative error 2.2145119293621744e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999966374353 Order of pole (three term test) 22.50002593285136 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) 50.082954595221274 y[1] (numeric) 50.08295459522014 absolute error 1.1368683772161603e-12 relative error 2.2699706644795994e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999968959621 Order of pole (three term test) 22.500024916009718 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 51.0947473098108 y[1] (numeric) 51.09474730980961 absolute error 1.1866063687193673e-12 relative error 2.322364687556689e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999997134612 Order of pole (three term test) 22.500023939039007 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) 52.12697860459659 y[1] (numeric) 52.126978604595394 absolute error 1.1937117960769683e-12 relative error 2.2900076467729634e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999997354914 Order of pole (three term test) 22.500023000375858 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) 53.18006138585986 y[1] (numeric) 53.180061385858664 absolute error 1.1937117960769683e-12 relative error 2.244660432818467e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999975582773 Order of pole (three term test) 22.50002209851822 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) 54.254416900754464 y[1] (numeric) 54.25441690075321 absolute error 1.2505552149377763e-12 relative error 2.3049832370797926e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999977460052 Order of pole (three term test) 22.500021232022924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) 55.35047490581124 y[1] (numeric) 55.35047490580994 absolute error 1.3002932064409833e-12 relative error 2.3491997289159045e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999979193013 Order of pole (three term test) 22.500020399503406 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) 56.46867383884646 y[1] (numeric) 56.468673838845156 absolute error 1.3073986337985843e-12 relative error 2.315263569903755e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999980792725 Order of pole (three term test) 22.500019599627432 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 57.60946099434291 y[1] (numeric) 57.6094609943416 absolute error 1.3073986337985843e-12 relative error 2.2694165354662273e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999982269452 Order of pole (three term test) 22.500018831115053 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) 58.77329270237354 y[1] (numeric) 58.773292702372174 absolute error 1.3642420526593924e-12 relative error 2.3211938449116327e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999983632643 Order of pole (three term test) 22.500018092736468 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 59.960634511139475 y[1] (numeric) 59.960634511138046 absolute error 1.4281908988778014e-12 relative error 2.381880896561347e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999984891022 Order of pole (three term test) 22.500017383310123 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) 61.171961373195586 y[1] (numeric) 61.17196137319416 absolute error 1.4281908988778014e-12 relative error 2.3347149033929913e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999986052654 Order of pole (three term test) 22.500016701700783 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y[1] (analytic) 62.40775783543801 y[1] (numeric) 62.40775783543658 absolute error 1.4352963262354024e-12 relative error 2.29986843946567e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999998712497 Order of pole (three term test) 22.50001604681773 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) 63.668518232929195 y[1] (numeric) 63.6685182329277 absolute error 1.4921397450962104e-12 relative error 2.343606835072344e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999998811486 Order of pole (three term test) 22.50001541761301 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 64.95474688663846 y[1] (numeric) 64.9547468866369 absolute error 1.5631940186722204e-12 relative error 2.4065893465805773e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999989028637 Order of pole (three term test) 22.50001481307976 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) 66.26695830517716 y[1] (numeric) 66.26695830517558 absolute error 1.5774048733874224e-12 relative error 2.3803791719593482e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999998987215 Order of pole (three term test) 22.500014232250592 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) 67.60567739060913 y[1] (numeric) 67.60567739060755 absolute error 1.5774048733874224e-12 relative error 2.3332432042261204e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999065082 Order of pole (three term test) 22.50001367419607 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y[1] (analytic) 68.97143964841848 y[1] (numeric) 68.97143964841683 absolute error 1.6484591469634324e-12 relative error 2.390060516884153e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999991369617 Order of pole (three term test) 22.500013138023167 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y[1] (analytic) 70.36479140171863 y[1] (numeric) 70.36479140171693 absolute error 1.7053025658242404e-12 relative error 2.423516835413498e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999203315 Order of pole (three term test) 22.50001262287391 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) 71.78629000978916 y[1] (numeric) 71.78629000978745 absolute error 1.7053025658242404e-12 relative error 2.3755268110271426e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999992645675 Order of pole (three term test) 22.50001212792395 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y[1] (analytic) 73.23650409102689 y[1] (numeric) 73.23650409102517 absolute error 1.7195134205394424e-12 relative error 2.347891180608826e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999993211094 Order of pole (three term test) 22.500011652381247 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y[1] (analytic) 74.71601375040083 y[1] (numeric) 74.71601375039904 absolute error 1.7905676941154525e-12 relative error 2.3964978914655315e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999993733046 Order of pole (three term test) 22.50001119548484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.360000000000001 y[1] (analytic) 76.22541081150175 y[1] (numeric) 76.22541081149988 absolute error 1.8616219676914625e-12 relative error 2.4422590155598873e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999994214883 Order of pole (three term test) 22.500010756503602 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.370000000000001 y[1] (analytic) 77.76529905327955 y[1] (numeric) 77.76529905327769 absolute error 1.8616219676914625e-12 relative error 2.3938980372415265e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999465966 Order of pole (three term test) 22.50001033473507 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y[1] (analytic) 79.33629445156313 y[1] (numeric) 79.33629445156127 absolute error 1.8616219676914625e-12 relative error 2.346494729254126e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999507025 Order of pole (three term test) 22.50000992950431 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.390000000000001 y[1] (analytic) 80.9390254254588 y[1] (numeric) 80.93902542545685 absolute error 1.9468870959826745e-12 relative error 2.405375016253031e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999995449268 Order of pole (three term test) 22.50000954016287 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y[1] (analytic) 82.57413308872603 y[1] (numeric) 82.574133088724 absolute error 2.0321522242738865e-12 relative error 2.461003401743662e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999995799138 Order of pole (three term test) 22.500009166087736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) 84.2422715062318 y[1] (numeric) 84.24227150622976 absolute error 2.0463630789890885e-12 relative error 2.4291404331823e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999612212 Order of pole (three term test) 22.500008806680295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y[1] (analytic) 85.94410795558532 y[1] (numeric) 85.94410795558328 absolute error 2.0463630789890885e-12 relative error 2.3810394076655253e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999996420266 Order of pole (three term test) 22.50000846136542 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y[1] (analytic) 87.68032319405788 y[1] (numeric) 87.68032319405575 absolute error 2.1316282072803006e-12 relative error 2.431136348074914e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999996695488 Order of pole (three term test) 22.50000812959054 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y[1] (analytic) 89.45161173089461 y[1] (numeric) 89.4516117308924 absolute error 2.2168933355715126e-12 relative error 2.478315697922575e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999996949548 Order of pole (three term test) 22.50000781082473 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y[1] (analytic) 91.25868210512769 y[1] (numeric) 91.25868210512547 absolute error 2.2168933355715126e-12 relative error 2.429241015137286e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999997184075 Order of pole (three term test) 22.50000750455791 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y[1] (analytic) 93.10225716900148 y[1] (numeric) 93.10225716899924 absolute error 2.2311041902867146e-12 relative error 2.396401825400173e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999997400582 Order of pole (three term test) 22.50000721029999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y[1] (analytic) 94.98307437712292 y[1] (numeric) 94.9830743771206 absolute error 2.3163693185779266e-12 relative error 2.438717986091882e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999997600433 Order of pole (three term test) 22.50000692758009 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.480000000000001 y[1] (analytic) 96.9018860814531 y[1] (numeric) 96.90188608145068 absolute error 2.4158453015843406e-12 relative error 2.4930838802803554e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999778492 Order of pole (three term test) 22.500006655945782 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490000000000001 y[1] (analytic) 98.85945983225814 y[1] (numeric) 98.85945983225572 absolute error 2.4158453015843406e-12 relative error 2.44371687411956e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999795522 Order of pole (three term test) 22.50000639496242 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.500000000000001 y[1] (analytic) 100.8565786851398 y[1] (numeric) 100.85657868513736 absolute error 2.4300561562995426e-12 relative error 2.40941759871296e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999998112432 Order of pole (three term test) 22.500006144212353 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100000000000011 y[1] (analytic) 102.89404151426791 y[1] (numeric) 102.89404151426538 absolute error 2.5295321393059567e-12 relative error 2.4583854439765558e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999825755 Order of pole (three term test) 22.500005903294337 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5200000000000011 y[1] (analytic) 104.97266333194057 y[1] (numeric) 104.97266333193795 absolute error 2.6147972675971687e-12 relative error 2.4909316241017492e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999998391528 Order of pole (three term test) 22.500005671822862 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5300000000000011 y[1] (analytic) 107.09327561460009 y[1] (numeric) 107.09327561459746 absolute error 2.6290081223123707e-12 relative error 2.4548769352928042e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999998515185 Order of pole (three term test) 22.50000544942751 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5400000000000011 y[1] (analytic) 109.25672663543482 y[1] (numeric) 109.25672663543219 absolute error 2.6290081223123707e-12 relative error 2.406266600943282e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999998629346 Order of pole (three term test) 22.500005235752393 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5500000000000012 y[1] (analytic) 111.46388180369962 y[1] (numeric) 111.46388180369686 absolute error 2.7569058147491887e-12 relative error 2.47336246516554e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999998734723 Order of pole (three term test) 22.500005030455604 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5600000000000012 y[1] (analytic) 113.7156240108908 y[1] (numeric) 113.71562401088794 absolute error 2.8705926524708048e-12 relative error 2.524360814478652e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999998832004 Order of pole (three term test) 22.500004833208624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5700000000000012 y[1] (analytic) 116.01285398391477 y[1] (numeric) 116.0128539839119 absolute error 2.8705926524708048e-12 relative error 2.4743746523715498e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999998921804 Order of pole (three term test) 22.5000046436958 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5800000000000012 y[1] (analytic) 118.35649064539098 y[1] (numeric) 118.3564906453881 absolute error 2.8705926524708048e-12 relative error 2.4253783098988758e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999004696 Order of pole (three term test) 22.50000446161388 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 120.74747148123303 y[1] (numeric) 120.74747148123005 absolute error 2.9842794901924208e-12 relative error 2.4715047475393696e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999081224 Order of pole (three term test) 22.5000042866715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 123.18675291565533 y[1] (numeric) 123.18675291565224 absolute error 3.097966327914037e-12 relative error 2.514853468079625e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999151865 Order of pole (three term test) 22.500004118588713 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 125.67531069375573 y[1] (numeric) 125.67531069375262 absolute error 3.112177182629239e-12 relative error 2.476363229539141e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999921707 Order of pole (three term test) 22.500003957096535 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 128.21414027182678 y[1] (numeric) 128.21414027182365 absolute error 3.126388037344441e-12 relative error 2.4384112631541155e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999277264 Order of pole (three term test) 22.500003801936565 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 130.80425721555136 y[1] (numeric) 130.8042572155481 absolute error 3.268496584496461e-12 relative error 2.4987692710263474e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999332825 Order of pole (three term test) 22.500003652860492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) 133.44669760624214 y[1] (numeric) 133.44669760623876 absolute error 3.382183422218077e-12 relative error 2.5344826682768887e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999384123 Order of pole (three term test) 22.50000350962979 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) 136.14251845528833 y[1] (numeric) 136.14251845528494 absolute error 3.382183422218077e-12 relative error 2.484296207087463e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999943147 Order of pole (three term test) 22.50000337201523 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y[1] (analytic) 138.8927981269744 y[1] (numeric) 138.89279812697103 absolute error 3.382183422218077e-12 relative error 2.435103524321051e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999475186 Order of pole (three term test) 22.500003239796627 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y[1] (analytic) 141.69863676984014 y[1] (numeric) 141.69863676983658 absolute error 3.552713678800501e-12 relative error 2.5072320805535646e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999515535 Order of pole (three term test) 22.500003112762386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y[1] (analytic) 144.5611567567541 y[1] (numeric) 144.56115675675042 absolute error 3.666400516522117e-12 relative error 2.5362279873641215e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999955278 Order of pole (three term test) 22.50000299070922 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y[1] (analytic) 147.4815031338784 y[1] (numeric) 147.48150313387472 absolute error 3.666400516522117e-12 relative error 2.4860070168893593e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999958717 Order of pole (three term test) 22.500002873441844 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y[1] (analytic) 150.46084407870254 y[1] (numeric) 150.46084407869884 absolute error 3.694822225952521e-12 relative error 2.4556702765935876e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999961891 Order of pole (three term test) 22.500002760772574 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y[1] (analytic) 153.50037136732965 y[1] (numeric) 153.50037136732578 absolute error 3.865352482534945e-12 relative error 2.5181388475504562e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999648206 Order of pole (three term test) 22.500002652521133 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y[1] (analytic) 156.60130085120255 y[1] (numeric) 156.60130085119857 absolute error 3.979039320256561e-12 relative error 2.540872456760314e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999675246 Order of pole (three term test) 22.500002548514285 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y[1] (analytic) 159.76487294346103 y[1] (numeric) 159.76487294345702 absolute error 4.007461029686965e-12 relative error 2.5083492734383233e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999970022 Order of pole (three term test) 22.500002448585615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y[1] (analytic) 162.99235311512356 y[1] (numeric) 162.99235311511956 absolute error 4.007461029686965e-12 relative error 2.4586803939547056e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999723266 Order of pole (three term test) 22.5000023525752 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y[1] (analytic) 166.28503240129265 y[1] (numeric) 166.2850324012885 absolute error 4.149569576838985e-12 relative error 2.4954558548750822e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999744546 Order of pole (three term test) 22.500002260329406 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y[1] (analytic) 169.64422791758562 y[1] (numeric) 169.64422791758128 absolute error 4.348521542851813e-12 relative error 2.5633183022085232e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999764186 Order of pole (three term test) 22.500002171700622 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y[1] (analytic) 173.07128338699863 y[1] (numeric) 173.07128338699428 absolute error 4.348521542851813e-12 relative error 2.5125609851336436e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999782313 Order of pole (three term test) 22.500002086547024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y[1] (analytic) 176.56756967741433 y[1] (numeric) 176.56756967740998 absolute error 4.348521542851813e-12 relative error 2.4628087427359856e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999979905 Order of pole (three term test) 22.50000200473234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y[1] (analytic) 180.1344853499668 y[1] (numeric) 180.1344853499623 absolute error 4.519051799434237e-12 relative error 2.508709973359396e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.249999999998145 Order of pole (three term test) 22.500001926125666 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y[1] (analytic) 183.77345721848442 y[1] (numeric) 183.77345721847973 absolute error 4.689582056016661e-12 relative error 2.55182773780074e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999828762 Order of pole (three term test) 22.500001850601198 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y[1] (analytic) 187.48594092023473 y[1] (numeric) 187.48594092023 absolute error 4.718003765447065e-12 relative error 2.5164573633040168e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999841924 Order of pole (three term test) 22.500001778038083 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y[1] (analytic) 191.27342149819899 y[1] (numeric) 191.27342149819424 absolute error 4.746425474877469e-12 relative error 2.4814872017763124e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999854075 Order of pole (three term test) 22.500001708320216 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y[1] (analytic) 195.13741399510897 y[1] (numeric) 195.13741399510405 absolute error 4.916955731459893e-12 relative error 2.5197401312201126e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999865297 Order of pole (three term test) 22.500001641336024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y[1] (analytic) 199.07946405948388 y[1] (numeric) 199.0794640594788 absolute error 5.087485988042317e-12 relative error 2.5555051657775226e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999875658 Order of pole (three term test) 22.500001576978317 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 203.1011485639107 y[1] (numeric) 203.10114856390555 absolute error 5.144329406903125e-12 relative error 2.5328903569860107e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999885217 Order of pole (three term test) 22.50000151514411 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y[1] (analytic) 207.20407623581445 y[1] (numeric) 207.2040762358093 absolute error 5.144329406903125e-12 relative error 2.482735620050484e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999894043 Order of pole (three term test) 22.500001455734466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y[1] (analytic) 211.3898883009706 y[1] (numeric) 211.38988830096525 absolute error 5.343281372915953e-12 relative error 2.527690144435078e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999902187 Order of pole (three term test) 22.50000139865429 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y[1] (analytic) 215.66025914001654 y[1] (numeric) 215.660259140011 absolute error 5.5422333389287814e-12 relative error 2.569890883480071e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999909708 Order of pole (three term test) 22.50000134381228 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y[1] (analytic) 220.01689695822677 y[1] (numeric) 220.0168969582212 absolute error 5.5706550483591855e-12 relative error 2.5319214684756012e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999916653 Order of pole (three term test) 22.500001291120647 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y[1] (analytic) 224.46154446881803 y[1] (numeric) 224.46154446881243 absolute error 5.5990767577895895e-12 relative error 2.4944481118312037e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999923056 Order of pole (three term test) 22.50000124049508 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y[1] (analytic) 228.9959795900575 y[1] (numeric) 228.9959795900517 absolute error 5.7980287238024175e-12 relative error 2.5319347239990388e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999928973 Order of pole (three term test) 22.500001191854572 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y[1] (analytic) 233.62201615645344 y[1] (numeric) 233.62201615644742 absolute error 6.0254023992456496e-12 relative error 2.579124390061988e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999993443 Order of pole (three term test) 22.500001145121285 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y[1] (analytic) 238.3415046443135 y[1] (numeric) 238.34150464430746 absolute error 6.0254023992456496e-12 relative error 2.52805419191995e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999939473 Order of pole (three term test) 22.50000110022044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y[1] (analytic) 243.1563329119604 y[1] (numeric) 243.15633291195434 absolute error 6.0538241086760536e-12 relative error 2.489683914943709e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999944128 Order of pole (three term test) 22.500001057080176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y[1] (analytic) 248.06842695489996 y[1] (numeric) 248.06842695489365 absolute error 6.30961949354969e-12 relative error 2.54349961863418e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999948427 Order of pole (three term test) 22.50000101563147 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y[1] (analytic) 253.0797516762446 y[1] (numeric) 253.07975167623806 absolute error 6.536993168992922e-12 relative error 2.582977549841858e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999995239 Order of pole (three term test) 22.50000097580799 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 258.1923116727012 y[1] (numeric) 258.19231167269464 absolute error 6.536993168992922e-12 relative error 2.531831070663163e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2499999999995605 Order of pole (three term test) 22.500000937546012 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 263.40815203643695 y[1] (numeric) 263.40815203643035 absolute error 6.59383658785373e-12 relative error 2.503277342358642e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999959419 Order of pole (three term test) 22.5000009007843 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 268.729359173143 y[1] (numeric) 268.7293591731362 absolute error 6.821210263296962e-12 relative error 2.5383196998962957e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24999999999962547 Order of pole (three term test) 22.50000086546405 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = cosh ( 2.0 * x + 3.0 ) ; Iterations 190 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 10 Minutes 0.0 Seconds Percent Done 100.52631578947374%