##############ECHO OF PROBLEM################# ##############temp/mult_sin_sinpostode.ode################# diff ( y , x , 1 ) = sin(x) * sin(x); ! #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=5.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=10000000 $glob_max_minutes=3 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(-(sin(x) * cos(x))/2.0 + x/2.0) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 desired_abs_gbl_error 1.0e-10 range 4.9 estimated_steps 4900000.000000001 step_error 2.040816326530612e-17 est_needed_step_err 2.040816326530612e-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 8.264789130434852e-177 estimated_step_error 8.264789130434852e-177 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 5.54640711081085e-169 estimated_step_error 5.54640711081085e-169 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 3.722132165016696e-161 estimated_step_error 3.722132165016696e-161 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 2.497882438065287e-153 estimated_step_error 2.497882438065287e-153 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 1.676302978444555e-145 estimated_step_error 1.676302978444555e-145 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 1.1249511746391186e-137 estimated_step_error 1.1249511746391186e-137 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 7.549463677467823e-130 estimated_step_error 7.549463677467823e-130 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 5.06641855425319e-122 estimated_step_error 5.06641855425319e-122 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 3.400095450684859e-114 estimated_step_error 3.400095450684859e-114 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 2.281872152706652e-106 estimated_step_error 2.281872152706652e-106 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 1.5314817170992326e-98 estimated_step_error 1.5314817170992326e-98 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 1.0279522306737457e-90 estimated_step_error 1.0279522306737457e-90 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 6.901050895740826e-83 estimated_step_error 6.901050895740826e-83 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 4.634679860497324e-75 estimated_step_error 4.634679860497324e-75 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 3.114928551222164e-67 estimated_step_error 3.114928551222164e-67 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 2.0966298868252574e-59 estimated_step_error 2.0966298868252574e-59 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 1.415392305738899e-51 estimated_step_error 1.415392305738899e-51 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 9.610767784718948e-44 estimated_step_error 9.610767784718948e-44 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 0.00033266730123469174 y[1] (numeric) 0.00033266730123469174 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 0.09387254666539295 Order of pole (three term test) -1.8470731987904536 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 0.0004425942297826696 y[1] (numeric) 0.00044259422978266564 absolute error 3.957337929572091e-18 relative error 8.941232540503958e-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 0.10267511854663162 Order of pole (three term test) -2.0442077723982495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 0.0005743433932163533 y[1] (numeric) 0.0005743433932163485 absolute error 4.7704895589362195e-18 relative error 8.305988395237258e-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 0.11131312614467372 Order of pole (three term test) -2.2588324929249657 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 0.0007298620269612227 y[1] (numeric) 0.0007298620269612213 absolute error 1.4094628242311558e-18 relative error 1.9311359848373644e-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 0.11977273126736292 Order of pole (three term test) -2.4906027399730357 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 0.0009110878589715654 y[1] (numeric) 0.0009110878589715624 absolute error 3.0357660829594124e-18 relative error 3.332023419109306e-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 0.12804038321161443 Order of pole (three term test) -2.7391463910236507 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 0.0011199483346651107 y[1] (numeric) 0.001119948334665102 absolute error 8.673617379884035e-18 relative error 7.744658491302315e-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 0.13610284055130736 Order of pole (three term test) -3.0040644253394375 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 0.001358359845970561 y[1] (numeric) 0.0013583598459705542 absolute error 6.7220534694101275e-18 relative error 4.948654430083772e-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 0.14394719241633225 Order of pole (three term test) -3.284931571310206 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 0.001628226964796406 y[1] (numeric) 0.0016282269647963968 absolute error 9.107298248878237e-18 relative error 5.593383751642399e-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 0.1515608792281401 Order of pole (three term test) -3.581296996148329 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 0.001931441681227497 y[1] (numeric) 0.0019314416812275018 absolute error 4.7704895589362195e-18 relative error 2.469911261262836e-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 0.15893171285810298 Order of pole (three term test) -3.8926850367703185 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 0.0022698826467543315 y[1] (numeric) 0.002269882646754328 absolute error 3.469446951953614e-18 relative error 1.5284697457441337e-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 0.16604789617601898 Order of pole (three term test) -4.218595970633403 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 0.002645414422837389 y[1] (numeric) 0.002645414422837373 absolute error 1.5612511283791264e-17 relative error 5.901726077022659e-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 0.1728980419571703 Order of pole (three term test) -4.558506825230573 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 0.003059886735107459 y[1] (numeric) 0.0030598867351074497 absolute error 9.107298248878237e-18 relative error 2.9763514264714777e-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 0.17947119111746881 Order of pole (three term test) -4.9118722248844815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 0.0035151337335000976 y[1] (numeric) 0.003515133733500096 absolute error 1.734723475976807e-18 relative error 4.9350141630301617e-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 0.1857568302474077 Order of pole (three term test) -5.278125273420573 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 0.004012973258620059 y[1] (numeric) 0.0040129732586200555 absolute error 3.469446951953614e-18 relative error 8.64557705312657e-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 0.19174490841675854 Order of pole (three term test) -5.656678471241799 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 0.004555206114629284 y[1] (numeric) 0.004555206114629275 absolute error 9.540979117872439e-18 relative error 2.094521933317371e-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 0.19742585322322675 Order of pole (three term test) -6.046924665272775 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 0.005143615348949249 y[1] (numeric) 0.005143615348949248 absolute error 8.673617379884035e-19 relative error 1.6862881050496718e-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 0.20279058605959382 Order of pole (three term test) -6.4482380301890965 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 0.005779965539065818 y[1] (numeric) 0.0057799655390658195 absolute error 1.734723475976807e-18 relative error 3.001269582408584e-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 0.2078305365752215 Order of pole (three term test) -6.859975079298487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 0.006466002086721712 y[1] (numeric) 0.006466002086721723 absolute error 1.1275702593849246e-17 relative error 1.743844564635158e-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 0.21253765630919016 Order of pole (three term test) -7.28147570339457 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 0.007203450519779164 y[1] (numeric) 0.007203450519779149 absolute error 1.5612511283791264e-17 relative error 2.1673656591271893e-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 0.21690443147375846 Order of pole (three term test) -7.712064235860975 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 0.007994015802031629 y[1] (numeric) 0.007994015802031611 absolute error 1.734723475976807e-17 relative error 2.1700275792999283e-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 0.22092389486829214 Order of pole (three term test) -8.151050542263908 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 0.00883938165124118 y[1] (numeric) 0.008839381651241162 absolute error 1.734723475976807e-17 relative error 1.9624941476910055e-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 0.22458963690528785 Order of pole (three term test) -8.597731132634474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 0.009741209865673728 y[1] (numeric) 0.009741209865673733 absolute error 5.204170427930421e-18 relative error 5.342427172490126e-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 0.22789581573162465 Order of pole (three term test) -9.051390294609044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 0.010701139659402004 y[1] (numeric) 0.01070113965940199 absolute error 1.3877787807814457e-17 relative error 1.2968513868166794e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.073166311099164 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2308371664297061 Order of pole (three term test) -9.51130124556543 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 0.011720787006641559 y[1] (numeric) 0.011720787006641557 absolute error 1.734723475976807e-18 relative error 1.4800400988379275e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.372996672014808 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2334090092847015 Order of pole (three term test) -9.976727301866228 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 0.012801743995382892 y[1] (numeric) 0.012801743995382878 absolute error 1.3877787807814457e-17 relative error 1.0840544704549359e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.682283063854373 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2356072571056603 Order of pole (three term test) -10.446923063296968 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 0.013945578190577235 y[1] (numeric) 0.013945578190577243 absolute error 8.673617379884035e-18 relative error 6.219618334465785e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.001739614399265 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23742842158984936 Order of pole (three term test) -10.92113561076662 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 0.015153832007131746 y[1] (numeric) 0.01515383200713172 absolute error 2.6020852139652106e-17 relative error 1.7171136731228173e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.332145048810936 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23886961872124945 Order of pole (three term test) -11.398605715321217 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 0.016428022092963734 y[1] (numeric) 0.01642802209296374 absolute error 6.938893903907228e-18 relative error 4.22381578539465e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.674350566105867 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2399285731957438 Order of pole (three term test) -11.87856905650782 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 0.017769638722362202 y[1] (numeric) 0.017769638722362174 absolute error 2.7755575615628914e-17 relative error 1.561966230675242e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.029288875783639 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24060362186712636 Order of pole (three term test) -12.360257448115814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 0.01918014519989747 y[1] (numeric) 0.019180145199897466 absolute error 3.469446951953614e-18 relative error 1.8088741851506736e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.397984600327751 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2408937162096616 Order of pole (three term test) -12.842900069315647 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 0.02066097727511937 y[1] (numeric) 0.020660977275119324 absolute error 4.5102810375396984e-17 relative error 2.182995013973094e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.712146006504732 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24079842379452476 Order of pole (three term test) -13.32572469921192 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 0.022213542568276068 y[1] (numeric) 0.022213542568276047 absolute error 2.0816681711721685e-17 relative error 9.37116700217403e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.330850010352137 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24031792877904667 Order of pole (three term test) -13.807958952826459 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 0.023839220007285222 y[1] (numeric) 0.023839220007285188 absolute error 3.469446951953614e-17 relative error 1.4553525454664026e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.963526391910095 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23945303140927746 Order of pole (three term test) -14.28883151653119 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 0.025539359276180812 y[1] (numeric) 0.025539359276180777 absolute error 3.469446951953614e-17 relative error 1.358470631324483e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.60914258591475 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23820514653796085 Order of pole (three term test) -14.767573380955518 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 0.02731528027525776 y[1] (numeric) 0.0273152802752577 absolute error 5.898059818321144e-17 relative error 2.1592529012647987e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.266757544510728 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23657630116158168 Order of pole (three term test) -15.243419069402888 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 0.029168272593129208 y[1] (numeric) 0.029168272593129176 absolute error 3.122502256758253e-17 relative error 1.0705132594975063e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.935511478423163 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23456913098170015 Order of pole (three term test) -15.71560785982334 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 0.031099594990908558 y[1] (numeric) 0.03109959499090852 absolute error 3.8163916471489756e-17 relative error 1.2271515588111785e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.614616931219554 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23218687599732557 Order of pole (three term test) -16.183384998404016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 0.03311047489872149 y[1] (numeric) 0.03311047489872146 absolute error 2.7755575615628914e-17 relative error 8.38271746343954e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.303350987814111 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.22943337513660192 Order of pole (three term test) -16.646002902858203 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 0.03520210792475051 y[1] (numeric) 0.03520210792475047 absolute error 4.163336342344337e-17 relative error 1.182695181562439e-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 0.2263130599375705 Order of pole (three term test) -17.102722353514864 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 0.03737565737700746 y[1] (numeric) 0.03737565737700742 absolute error 4.163336342344337e-17 relative error 1.1139165527843034e-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 0.22283094728925784 Order of pole (three term test) -17.552813670334174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 0.03963225379802596 y[1] (numeric) 0.03963225379802591 absolute error 4.85722573273506e-17 relative error 1.2255739371998554e-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 0.21899263124577487 Order of pole (three term test) -17.995557874002504 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 0.041972994512659345 y[1] (numeric) 0.041972994512659303 absolute error 4.163336342344337e-17 relative error 9.91908342657955e-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 0.2148042739275498 Order of pole (three term test) -18.430247829288664 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 0.044398943189165485 y[1] (numeric) 0.044398943189165437 absolute error 4.85722573273506e-17 relative error 1.0939957989631499e-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 0.21027259552519437 Order of pole (three term test) -18.85618936887704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 0.04691112941375353 y[1] (numeric) 0.04691112941375347 absolute error 5.551115123125783e-17 relative error 1.1833258317371256e-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 0.2054048634228798 Order of pole (three term test) -19.272702395926693 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 0.04951054827876322 y[1] (numeric) 0.049510548278763174 absolute error 4.85722573273506e-17 relative error 9.810486657079682e-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 0.2002088804594196 Order of pole (three term test) -19.67912196364389 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 0.05219815998464128 y[1] (numeric) 0.05219815998464121 absolute error 6.938893903907228e-17 relative error 1.3293368781483714e-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 0.19469297234655342 Order of pole (three term test) -20.07479933019499 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 0.054974889455873865 y[1] (numeric) 0.054974889455873796 absolute error 6.938893903907228e-17 relative error 1.2621933345544606e-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 0.18886597426518983 Order of pole (three term test) -20.459102987328524 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 0.05784162597102932 y[1] (numeric) 0.05784162597102923 absolute error 9.020562075079397e-17 relative error 1.5595277490292986e-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 0.18273721666158602 Order of pole (three term test) -20.831419661119885 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 0.060799222807058406 y[1] (numeric) 0.060799222807058316 absolute error 9.020562075079397e-17 relative error 1.4836640434871097e-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 0.17631651026662334 Order of pole (three term test) -21.191155283298894 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 0.06384849689799504 y[1] (numeric) 0.06384849689799496 absolute error 8.326672684688674e-17 relative error 1.3041297899293455e-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 0.16961413036248896 Order of pole (three term test) -21.537735931668404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 0.06699022850819353 y[1] (numeric) 0.06699022850819346 absolute error 6.938893903907228e-17 relative error 1.0358068719020024e-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 0.1626408003221724 Order of pole (three term test) -21.87060873817326 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 0.07022516092023326 y[1] (numeric) 0.07022516092023315 absolute error 1.1102230246251565e-16 relative error 1.5809476405276264e-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 0.15540767444824996 Order of pole (three term test) -22.1892427632312 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 0.0735540001376154 y[1] (numeric) 0.0735540001376153 absolute error 9.71445146547012e-17 relative error 1.3207237468111765e-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 0.147926320138443 Order of pole (three term test) -22.49312983499182 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 0.07697741460237123 y[1] (numeric) 0.07697741460237112 absolute error 1.1102230246251565e-16 relative error 1.4422711263557518e-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 0.14020869940641767 Order of pole (three term test) -22.781785352245297 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 0.08049603492769392 y[1] (numeric) 0.08049603492769382 absolute error 9.71445146547012e-17 relative error 1.2068235999693884e-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 0.13226714978721724 Order of pole (three term test) -23.054749049760805 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 0.08411045364570197 y[1] (numeric) 0.08411045364570183 absolute error 1.3877787807814457e-16 relative error 1.6499480393093338e-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 0.12411436465760246 Order of pole (three term test) -23.31158572489318 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 0.0878212249704339 y[1] (numeric) 0.08782122497043375 absolute error 1.5265566588595902e-16 relative error 1.7382548004466168e-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 0.11576337300241181 Order of pole (three term test) -23.551885924357695 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 0.09162886457617034 y[1] (numeric) 0.09162886457617023 absolute error 1.1102230246251565e-16 relative error 1.2116520593816123e-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 0.10722751865884407 Order of pole (three term test) -23.77526659013415 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 0.09553384939117116 y[1] (numeric) 0.09553384939117103 absolute error 1.249000902703301e-16 relative error 1.3073909516501998e-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 0.09852043907130255 Order of pole (three term test) -23.981371663525504 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 0.09953661740691028 y[1] (numeric) 0.09953661740691015 absolute error 1.249000902703301e-16 relative error 1.2548154993024606e-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 0.0896560435901389 Order of pole (three term test) -24.16987264646004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 0.10363756750288516 y[1] (numeric) 0.10363756750288504 absolute error 1.249000902703301e-16 relative error 1.205162310152185e-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 0.08064849134827197 Order of pole (three term test) -24.340469119192363 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 0.10783705928707027 y[1] (numeric) 0.10783705928707014 absolute error 1.249000902703301e-16 relative error 1.1582297504778647e-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 0.07151216875025199 Order of pole (three term test) -24.492889213624704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 0.11213541295207863 y[1] (numeric) 0.11213541295207848 absolute error 1.5265566588595902e-16 relative error 1.361351083187225e-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 0.06226166660888773 Order of pole (three term test) -24.626890041537635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 0.11653290914708905 y[1] (numeric) 0.11653290914708889 absolute error 1.6653345369377348e-16 relative error 1.429068019606146e-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 0.05291175696504248 Order of pole (three term test) -24.74225807708786 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 0.12102978886559024 y[1] (numeric) 0.12102978886559008 absolute error 1.5265566588595902e-16 relative error 1.261306553674079e-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 0.0434773696266487 Order of pole (three term test) -24.83880949299979 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 0.12562625334898667 y[1] (numeric) 0.1256262533489865 absolute error 1.6653345369377348e-16 relative error 1.3256262067383926e-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 0.03397356846338446 Order of pole (three term test) -24.91639044994731 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 0.13032246400610453 y[1] (numeric) 0.13032246400610437 absolute error 1.6653345369377348e-16 relative error 1.277856852721667e-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 0.024415527493789814 Order of pole (three term test) -24.974877338692977 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 0.13511854234863052 y[1] (numeric) 0.13511854234863035 absolute error 1.6653345369377348e-16 relative error 1.2324988917071555e-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 0.014818506801896267 Order of pole (three term test) -25.01417697462219 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 0.14001456994250872 y[1] (numeric) 0.14001456994250855 absolute error 1.6653345369377348e-16 relative error 1.1894008870802064e-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 0.005197828320669563 Order of pole (three term test) -25.034226744381904 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 0.1450105883753153 y[1] (numeric) 0.1450105883753151 absolute error 1.942890293094024e-16 relative error 1.3398265015417012e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 0.15010659923962405 y[1] (numeric) 0.15010659923962383 absolute error 2.220446049250313e-16 relative error 1.4792461227541925e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 0.15530256413236931 y[1] (numeric) 0.15530256413236912 absolute error 1.942890293094024e-16 relative error 1.2510355536937799e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 0.1605984046702069 y[1] (numeric) 0.16059840467020672 absolute error 1.6653345369377348e-16 relative error 1.0369558404752175e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 0.16599400252086619 y[1] (numeric) 0.16599400252086596 absolute error 2.220446049250313e-16 relative error 1.3376664310333702e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 0.17148919945048136 y[1] (numeric) 0.17148919945048116 absolute error 1.942890293094024e-16 relative error 1.1329519872503961e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 0.1770837973868832 y[1] (numeric) 0.177083797386883 absolute error 1.942890293094024e-16 relative error 1.0971587021308907e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 0.18277755849882502 y[1] (numeric) 0.18277755849882482 absolute error 1.942890293094024e-16 relative error 1.0629807669230431e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 0.18857020529111201 y[1] (numeric) 0.18857020529111182 absolute error 1.942890293094024e-16 relative error 1.0303272938026542e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 0.1944614207155958 y[1] (numeric) 0.19446142071559558 absolute error 2.220446049250313e-16 relative error 1.141843992026452e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 0.20045084829798926 y[1] (numeric) 0.20045084829798904 absolute error 2.220446049250313e-16 relative error 1.1077259428453048e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 0.2065380922804516 y[1] (numeric) 0.20653809228045142 absolute error 1.942890293094024e-16 relative error 9.406934438301261e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 0.21272271777988636 y[1] (numeric) 0.21272271777988613 absolute error 2.220446049250313e-16 relative error 1.0438217753253357e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 0.2190042509618884 y[1] (numeric) 0.2190042509618882 absolute error 2.220446049250313e-16 relative error 1.0138826253362177e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 0.22538217923027193 y[1] (numeric) 0.22538217923027168 absolute error 2.498001805406602e-16 relative error 1.1083404259989897e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 0.23185595143210166 y[1] (numeric) 0.2318559514321014 absolute error 2.7755575615628914e-16 relative error 1.1971042987765208e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 0.23842497807814686 y[1] (numeric) 0.2384249780781466 absolute error 2.498001805406602e-16 relative error 1.0477097766945584e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 0.24508863157866928 y[1] (numeric) 0.245088631578669 absolute error 2.7755575615628914e-16 relative error 1.132470952930342e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 0.2518462464944504 y[1] (numeric) 0.25184624649445014 absolute error 2.7755575615628914e-16 relative error 1.1020841486410847e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 0.25869711980295845 y[1] (numeric) 0.25869711980295823 absolute error 2.220446049250313e-16 relative error 8.583188134995696e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 0.265640511179548 y[1] (numeric) 0.26564051117954784 absolute error 1.6653345369377348e-16 relative error 6.269128641346896e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) 0.2726756432935801 y[1] (numeric) 0.2726756432935799 absolute error 1.6653345369377348e-16 relative error 6.107382811396649e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y[1] (analytic) 0.27980170211934363 y[1] (numeric) 0.2798017021193435 absolute error 1.1102230246251565e-16 relative error 3.967892318795165e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) 0.2870178372616556 y[1] (numeric) 0.2870178372616555 absolute error 1.1102230246251565e-16 relative error 3.8681325008140104e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) 0.29432316229600697 y[1] (numeric) 0.29432316229600686 absolute error 1.1102230246251565e-16 relative error 3.7721225063101965e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) 0.30171675512312146 y[1] (numeric) 0.30171675512312124 absolute error 2.220446049250313e-16 relative error 7.359372694911213e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) 0.3091976583377821 y[1] (numeric) 0.3091976583377819 absolute error 2.220446049250313e-16 relative error 7.181315865027002e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) 0.31676487961178146 y[1] (numeric) 0.3167648796117813 absolute error 1.6653345369377348e-16 relative error 5.2573206315634615e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) 0.32441739209083914 y[1] (numeric) 0.3244173920908389 absolute error 2.220446049250313e-16 relative error 6.844411253477349e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) 0.33215413480532974 y[1] (numeric) 0.33215413480532957 absolute error 1.6653345369377348e-16 relative error 5.013740195989916e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) 0.339974013094657 y[1] (numeric) 0.3399740130946568 absolute error 2.220446049250313e-16 relative error 6.531222869178789e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) 0.3478758990451031 y[1] (numeric) 0.3478758990451028 absolute error 2.7755575615628914e-16 relative error 7.978585378238671e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.278957760047959 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) 0.35585863194097894 y[1] (numeric) 0.35585863194097866 absolute error 2.7755575615628914e-16 relative error 7.799607238481242e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.589486264837166 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) 0.3639210187288956 y[1] (numeric) 0.3639210187288953 absolute error 2.7755575615628914e-16 relative error 7.626813013596651e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.909588370858446 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 0.37206183449496916 y[1] (numeric) 0.3720618344949689 absolute error 2.7755575615628914e-16 relative error 7.459936237024658e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.239982158654614 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) 0.38027982295477014 y[1] (numeric) 0.38027982295476986 absolute error 2.7755575615628914e-16 relative error 7.298724239421484e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.581449673277113 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) 0.3885736969558206 y[1] (numeric) 0.38857369695582034 absolute error 2.7755575615628914e-16 relative error 7.142937320017474e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.934844632974478 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 0.3969421389924378 y[1] (numeric) 0.3969421389924376 absolute error 2.220446049250313e-16 relative error 5.5938783795706183e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.301101257801461 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) 0.40538380173271915 y[1] (numeric) 0.4053838017327189 absolute error 2.7755575615628914e-16 relative error 6.846740174864939e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.681244414101469 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) 0.41389730855745666 y[1] (numeric) 0.4138973085574564 absolute error 2.7755575615628914e-16 relative error 6.705908698069227e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.427969080310543 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) 0.42248125411076665 y[1] (numeric) 0.4224812541107663 absolute error 3.3306690738754696e-16 relative error 7.883590198305534e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.058130763506778 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) 0.431134204862213 y[1] (numeric) 0.43113420486221266 absolute error 3.3306690738754696e-16 relative error 7.725364947417997e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.702135751897368 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) 0.4398546996802006 y[1] (numeric) 0.4398546996802002 absolute error 3.885780586188048e-16 relative error 8.834236826418433e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.358951610356081 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 0.4486412504164081 y[1] (numeric) 0.4486412504164077 absolute error 4.440892098500626e-16 relative error 9.898537181721019e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.027638710904005 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) 0.4574923425010277 y[1] (numeric) 0.4574923425010273 absolute error 3.885780586188048e-16 relative error 8.493651642222446e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.707339711389242 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 0.46640643554857286 y[1] (numeric) 0.4664064355485725 absolute error 3.885780586188048e-16 relative error 8.331318545417824e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.3972704181362205 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) 0.47538196397401167 y[1] (numeric) 0.4753819639740113 absolute error 3.885780586188048e-16 relative error 8.174017696642098e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.096711823767249 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y[1] (analytic) 0.4844173376189803 y[1] (numeric) 0.4844173376189799 absolute error 3.885780586188048e-16 relative error 8.021555556387659e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) 0.4935109423878251 y[1] (numeric) 0.4935109423878247 absolute error 3.885780586188048e-16 relative error 7.873747575660462e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 0.5026611408932191 y[1] (numeric) 0.5026611408932188 absolute error 3.3306690738754696e-16 relative error 6.626072323706852e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) 0.5118662731110956 y[1] (numeric) 0.5118662731110951 absolute error 4.440892098500626e-16 relative error 8.675883393350228e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) 0.5211246570446348 y[1] (numeric) 0.5211246570446344 absolute error 4.440892098500626e-16 relative error 8.52174626256508e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y[1] (analytic) 0.5304345893970412 y[1] (numeric) 0.5304345893970408 absolute error 4.440892098500626e-16 relative error 8.372176677898595e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y[1] (analytic) 0.5397943462528388 y[1] (numeric) 0.5397943462528384 absolute error 4.440892098500626e-16 relative error 8.227007432235162e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) 0.5492021837674146 y[1] (numeric) 0.5492021837674141 absolute error 4.440892098500626e-16 relative error 8.086078733403818e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y[1] (analytic) 0.5586563388645331 y[1] (numeric) 0.5586563388645327 absolute error 4.440892098500626e-16 relative error 7.94923782217655e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y[1] (analytic) 0.5681550299415434 y[1] (numeric) 0.568155029941543 absolute error 4.440892098500626e-16 relative error 7.816338612645114e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.360000000000001 y[1] (analytic) 0.5776964575819966 y[1] (numeric) 0.5776964575819961 absolute error 5.551115123125783e-16 relative error 9.609051691887643e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.370000000000001 y[1] (analytic) 0.5872788052753879 y[1] (numeric) 0.5872788052753873 absolute error 5.551115123125783e-16 relative error 9.452265386152907e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y[1] (analytic) 0.5969002401437371 y[1] (numeric) 0.5969002401437365 absolute error 5.551115123125783e-16 relative error 9.299904322017095e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.390000000000001 y[1] (analytic) 0.6065589136747153 y[1] (numeric) 0.6065589136747147 absolute error 5.551115123125783e-16 relative error 9.151815261431849e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y[1] (analytic) 0.6162529624610248 y[1] (numeric) 0.6162529624610242 absolute error 5.551115123125783e-16 relative error 9.00785142023048e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) 0.6259805089457375 y[1] (numeric) 0.6259805089457371 absolute error 4.440892098500626e-16 relative error 7.094297721793093e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y[1] (analytic) 0.6357396621732929 y[1] (numeric) 0.6357396621732925 absolute error 4.440892098500626e-16 relative error 6.985394120793594e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y[1] (analytic) 0.6455285185458544 y[1] (numeric) 0.6455285185458539 absolute error 4.440892098500626e-16 relative error 6.879466934325958e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y[1] (analytic) 0.6553451625847233 y[1] (numeric) 0.6553451625847229 absolute error 4.440892098500626e-16 relative error 6.776416996786034e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y[1] (analytic) 0.6651876676965055 y[1] (numeric) 0.665187667696505 absolute error 5.551115123125783e-16 relative error 8.345186467976584e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y[1] (analytic) 0.6750540969437219 y[1] (numeric) 0.6750540969437213 absolute error 5.551115123125783e-16 relative error 8.223215218244309e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y[1] (analytic) 0.6849425038195585 y[1] (numeric) 0.6849425038195579 absolute error 5.551115123125783e-16 relative error 8.104497957376245e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.480000000000001 y[1] (analytic) 0.6948509330264429 y[1] (numeric) 0.6948509330264423 absolute error 5.551115123125783e-16 relative error 7.988929508877169e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490000000000001 y[1] (analytic) 0.7047774212581371 y[1] (numeric) 0.7047774212581366 absolute error 5.551115123125783e-16 relative error 7.876408857162563e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.500000000000001 y[1] (analytic) 0.7147199979850343 y[1] (numeric) 0.7147199979850337 absolute error 5.551115123125783e-16 relative error 7.766838956200606e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100000000000011 y[1] (analytic) 0.7246766862423437 y[1] (numeric) 0.724676686242343 absolute error 6.661338147750939e-16 relative error 9.192151857805563e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5200000000000011 y[1] (analytic) 0.7346455034208507 y[1] (numeric) 0.73464550342085 absolute error 6.661338147750939e-16 relative error 9.06741838986648e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5300000000000011 y[1] (analytic) 0.7446244620599338 y[1] (numeric) 0.7446244620599332 absolute error 6.661338147750939e-16 relative error 8.94590291772442e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5400000000000011 y[1] (analytic) 0.7546115706425228 y[1] (numeric) 0.7546115706425222 absolute error 6.661338147750939e-16 relative error 8.827505973807247e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5500000000000012 y[1] (analytic) 0.7646048343916785 y[1] (numeric) 0.7646048343916778 absolute error 6.661338147750939e-16 relative error 8.712131872734909e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5600000000000012 y[1] (analytic) 0.7746022560684771 y[1] (numeric) 0.7746022560684764 absolute error 6.661338147750939e-16 relative error 8.59968854410625e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5700000000000012 y[1] (analytic) 0.7846018367708795 y[1] (numeric) 0.7846018367708787 absolute error 7.771561172376096e-16 relative error 9.905101935984325e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5800000000000012 y[1] (analytic) 0.7946015767332646 y[1] (numeric) 0.7946015767332638 absolute error 7.771561172376096e-16 relative error 9.78045022805799e-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 0.008872961857340262 Order of pole (three term test) -0.901048233366345 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 0.80459947612631 y[1] (numeric) 0.8045994761263092 absolute error 7.771561172376096e-16 relative error 9.658919006251102e-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 0.018499584907372333 Order of pole (three term test) -0.9285041256201153 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 0.8145935358568962 y[1] (numeric) 0.8145935358568954 absolute error 7.771561172376096e-16 relative error 9.540415962423455e-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 0.028096551800990188 Order of pole (three term test) -0.9752420423520287 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 0.8245817583677175 y[1] (numeric) 0.8245817583677167 absolute error 7.771561172376096e-16 relative error 9.424852167188511e-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 0.03764847827300188 Order of pole (three term test) -1.0411869064157746 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 0.8345621484362783 y[1] (numeric) 0.8345621484362776 absolute error 6.661338147750939e-16 relative error 7.981835936643315e-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 0.04714005270233153 Order of pole (three term test) -1.1262327897403046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 0.8445327139729556 y[1] (numeric) 0.8445327139729549 absolute error 6.661338147750939e-16 relative error 7.887602265179102e-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 0.05655606080325021 Order of pole (three term test) -1.230243085551924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) 0.854491466817808 y[1] (numeric) 0.8544914668178073 absolute error 6.661338147750939e-16 relative error 7.795675447243816e-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 0.06588141015585085 Order of pole (three term test) -1.3530507304525492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) 0.8644364235358133 y[1] (numeric) 0.8644364235358126 absolute error 6.661338147750939e-16 relative error 7.705989667237757e-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 0.07510115453529889 Order of pole (three term test) -1.4944584759761097 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y[1] (analytic) 0.8743656062102163 y[1] (numeric) 0.8743656062102156 absolute error 6.661338147750939e-16 relative error 7.618481445791693e-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 0.08420051799975237 Order of pole (three term test) -1.6542392091610696 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y[1] (analytic) 0.8842770432336687 y[1] (numeric) 0.8842770432336681 absolute error 6.661338147750939e-16 relative error 7.533089543285466e-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 0.09316491869727785 Order of pole (three term test) -1.8321363215939284 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y[1] (analytic) 0.8941687700968461 y[1] (numeric) 0.8941687700968455 absolute error 6.661338147750939e-16 relative error 7.449754867897544e-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 0.10197999235259698 Order of pole (three term test) -2.027864126296621 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y[1] (analytic) 0.9040388301742255 y[1] (numeric) 0.9040388301742248 absolute error 6.661338147750939e-16 relative error 7.368420387946359e-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 0.11063161539506906 Order of pole (three term test) -2.2411083217499037 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y[1] (analytic) 0.9138852755067091 y[1] (numeric) 0.9138852755067084 absolute error 6.661338147750939e-16 relative error 7.28903104829818e-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 0.11910592768996056 Order of pole (three term test) -2.471526502265495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y[1] (analytic) 0.9237061675807823 y[1] (numeric) 0.9237061675807816 absolute error 6.661338147750939e-16 relative error 7.211533690629359e-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 0.12738935483576053 Order of pole (three term test) -2.718748713841894 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y[1] (analytic) 0.9334995781038932 y[1] (numeric) 0.9334995781038925 absolute error 6.661338147750939e-16 relative error 7.135876977342962e-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 0.13546862999107753 Order of pole (three term test) -2.9823780545627265 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y[1] (analytic) 0.9432635897757439 y[1] (numeric) 0.9432635897757431 absolute error 7.771561172376096e-16 relative error 8.239013205443184e-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 0.1433308151954898 Order of pole (three term test) -3.261991318522119 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y[1] (analytic) 0.9529962970551848 y[1] (numeric) 0.9529962970551841 absolute error 7.771561172376096e-16 relative error 8.154870272204291e-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 0.15096332214962233 Order of pole (three term test) -3.557139682189407 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y[1] (analytic) 0.9626958069224063 y[1] (numeric) 0.9626958069224055 absolute error 7.771561172376096e-16 relative error 8.072706992690254e-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 0.1583539324206812 Order of pole (three term test) -3.867349432055165 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y[1] (analytic) 0.9723602396361206 y[1] (numeric) 0.9723602396361198 absolute error 7.771561172376096e-16 relative error 7.992471159952397e-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 0.16549081704069515 Order of pole (three term test) -4.192122732332727 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y[1] (analytic) 0.9819877294854339 y[1] (numeric) 0.9819877294854331 absolute error 7.771561172376096e-16 relative error 7.914112304079838e-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 0.1723625554657858 Order of pole (three term test) -4.530938431423779 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y[1] (analytic) 0.9915764255361055 y[1] (numeric) 0.9915764255361047 absolute error 7.771561172376096e-16 relative error 7.83758162480953e-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 0.17895815386590805 Order of pole (three term test) -4.883252905793293 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y[1] (analytic) 1.0011244923708968 y[1] (numeric) 1.0011244923708962 absolute error 6.661338147750939e-16 relative error 6.65385593751216e-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 0.18526706271568466 Order of pole (three term test) -5.24850093983889 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y[1] (analytic) 1.0106301108237143 y[1] (numeric) 1.0106301108237137 absolute error 6.661338147750939e-16 relative error 6.591272193860931e-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 0.1912791936581733 Order of pole (three term test) -5.626096640281492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y[1] (analytic) 1.0200914787072508 y[1] (numeric) 1.0200914787072501 absolute error 6.661338147750939e-16 relative error 6.530138018790991e-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 0.19698493561468128 Order of pole (three term test) -6.015434383549459 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y[1] (analytic) 1.029506811533837 y[1] (numeric) 1.0295068115338364 absolute error 6.661338147750939e-16 relative error 6.470416779298793e-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 0.20237517011504097 Order of pole (three term test) -6.415889794575719 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y[1] (analytic) 1.0388743432292125 y[1] (numeric) 1.0388743432292118 absolute error 6.661338147750939e-16 relative error 6.41207302034719e-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 0.20744128582412258 Order of pole (three term test) -6.826820755378687 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y[1] (analytic) 1.0481923268389322 y[1] (numeric) 1.0481923268389315 absolute error 6.661338147750939e-16 relative error 6.355072420573574e-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 0.21217519224173625 Order of pole (three term test) -7.247568441751018 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 1.0574590352271247 y[1] (numeric) 1.0574590352271238 absolute error 8.881784197001252e-16 relative error 8.399175666500965e-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 0.2165693325545012 Order of pole (three term test) -7.6774583863373795 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y[1] (analytic) 1.066672761767323 y[1] (numeric) 1.0666727617673222 absolute error 8.881784197001252e-16 relative error 8.326625105046665e-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 0.2206166956197112 Order of pole (three term test) -8.115801566342448 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y[1] (analytic) 1.0758318210250937 y[1] (numeric) 1.0758318210250928 absolute error 8.881784197001252e-16 relative error 8.25573665272175e-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 0.2243108270627019 Order of pole (three term test) -8.56189551407309 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y[1] (analytic) 1.0849345494321871 y[1] (numeric) 1.084934549432186 absolute error 1.1102230246251565e-15 relative error 1.0233087564648064e-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 0.22764583947073477 Order of pole (three term test) -9.015025448485527 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y[1] (analytic) 1.0939793059519423 y[1] (numeric) 1.0939793059519414 absolute error 8.881784197001252e-16 relative error 8.118786295754138e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.049676572897124 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23061642166793528 Order of pole (three term test) -9.474465425877813 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y[1] (analytic) 1.102964472735681 y[1] (numeric) 1.1029644727356802 absolute error 8.881784197001252e-16 relative error 8.052647584352174e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.348782859779739 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2332178470573721 Order of pole (three term test) -9.939479507840584 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y[1] (analytic) 1.1118884557698248 y[1] (numeric) 1.1118884557698239 absolute error 8.881784197001252e-16 relative error 7.988017278992144e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.657290875143173 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23544598101792602 Order of pole (three term test) -10.409322944555843 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y[1] (analytic) 1.1207496855134784 y[1] (numeric) 1.1207496855134778 absolute error 6.661338147750939e-16 relative error 5.943644895781529e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.975909910773598 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23729728734516953 Order of pole (three term test) -10.883243371512526 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y[1] (analytic) 1.1295466175262276 y[1] (numeric) 1.1295466175262268 absolute error 8.881784197001252e-16 relative error 7.863140891389567e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.30541327317655 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23876883372707228 Order of pole (three term test) -11.360482017691092 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y[1] (analytic) 1.1382777330858918 y[1] (numeric) 1.1382777330858909 absolute error 8.881784197001252e-16 relative error 7.802826971693958e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.646646075430171 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23985829624693178 Order of pole (three term test) -11.840274923254956 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y[1] (analytic) 1.1469415397959948 y[1] (numeric) 1.146941539795994 absolute error 8.881784197001252e-16 relative error 7.743885707183511e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.000534174391033 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2405639629075342 Order of pole (three term test) -12.321854164776886 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y[1] (analytic) 1.1555365721827027 y[1] (numeric) 1.1555365721827018 absolute error 8.881784197001252e-16 relative error 7.686285670928075e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.36809445594532 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24088473617214817 Order of pole (three term test) -12.80444908602057 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 1.164061392280994 y[1] (numeric) 1.164061392280993 absolute error 8.881784197001252e-16 relative error 7.629996369519031e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.74314334477611 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2408201345195524 Order of pole (three term test) -13.287287532294467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 1.1725145902098262 y[1] (numeric) 1.1725145902098253 absolute error 8.881784197001252e-16 relative error 7.574988210092824e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.360687312692237 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24037029301189583 Order of pole (three term test) -13.769597086393741 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 1.18089478473607 y[1] (numeric) 1.1808947847360691 absolute error 8.881784197001252e-16 relative error 7.521232468637188e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.992290158955852 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23953596287577683 Order of pole (three term test) -14.250606304149368 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y[1] (analytic) 1.1892006238269832 y[1] (numeric) 1.1892006238269826 absolute error 6.661338147750939e-16 relative error 5.6015259446416985e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.636911544506125 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23831851009851082 Order of pole (three term test) -14.729545947608747 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y[1] (analytic) 1.1974307851910069 y[1] (numeric) 1.1974307851910064 absolute error 4.440892098500626e-16 relative error 3.708683753100804e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.293603528757165 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2367199130431191 Order of pole (three term test) -15.205650213881801 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y[1] (analytic) 1.2055839768066638 y[1] (numeric) 1.2055839768066636 absolute error 2.220446049250313e-16 relative error 1.8418012282576975e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.961500194910389 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23474275908713602 Order of pole (three term test) -15.678157957697715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y[1] (analytic) 1.2136589374393498 y[1] (numeric) 1.2136589374393496 absolute error 2.220446049250313e-16 relative error 1.8295469845384594e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.639808625830094 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23239024029185987 Order of pole (three term test) -16.146313905733667 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y[1] (analytic) 1.2216544371458105 y[1] (numeric) 1.2216544371458105 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.327801028693001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.22966614811020172 Order of pole (three term test) -16.609369860794036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y[1] (analytic) 1.229569277766103 y[1] (numeric) 1.229569277766103 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 0.22657486714278094 Order of pole (three term test) -17.066585893940402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.06 y[1] (analytic) 1.2374022934028428 y[1] (numeric) 1.237402293402843 absolute error 2.220446049250313e-16 relative error 1.794441517595794e-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 0.22312136795339463 Order of pole (three term test) -17.51723152269592 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.07 y[1] (analytic) 1.2451523508875486 y[1] (numeric) 1.245152350887549 absolute error 4.440892098500626e-16 relative error 3.566545166408869e-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 0.21931119895643789 Order of pole (three term test) -17.960586873475055 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y[1] (analytic) 1.2528183502338934 y[1] (numeric) 1.252818350233894 absolute error 6.661338147750939e-16 relative error 5.31708219831495e-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 0.2151504773902794 Order of pole (three term test) -18.395943826418385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y[1] (analytic) 1.2603992250776848 y[1] (numeric) 1.2603992250776856 absolute error 8.881784197001252e-16 relative error 7.046802330788345e-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 0.21064587939198814 Order of pole (three term test) -18.822607140844887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y[1] (analytic) 1.2678939431033964 y[1] (numeric) 1.2678939431033975 absolute error 1.1102230246251565e-15 relative error 8.756434484635898e-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 0.20580462919017414 Order of pole (three term test) -19.239895559568556 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y[1] (analytic) 1.2753015064570805 y[1] (numeric) 1.2753015064570818 absolute error 1.3322676295501878e-15 relative error 1.0446687491582796e-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 0.20063448743404197 Order of pole (three term test) -19.647142890363167 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y[1] (analytic) 1.2826209521454963 y[1] (numeric) 1.2826209521454977 absolute error 1.3322676295501878e-15 relative error 1.0387072091108799e-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 0.19514373867804316 Order of pole (three term test) -20.043699062899282 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y[1] (analytic) 1.2898513524212933 y[1] (numeric) 1.289851352421295 absolute error 1.5543122344752192e-15 relative error 1.205032061684847e-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 0.18934117804279246 Order of pole (three term test) -20.42893115951859 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y[1] (analytic) 1.2969918151541002 y[1] (numeric) 1.2969918151541018 absolute error 1.5543122344752192e-15 relative error 1.1983978744619494e-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 0.18323609707412375 Order of pole (three term test) -20.80222441825576 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y[1] (analytic) 1.3040414841873624 y[1] (numeric) 1.3040414841873642 absolute error 1.7763568394002505e-15 relative error 1.3621935045319668e-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 0.1768382688233574 Order of pole (three term test) -21.162983206563744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y[1] (analytic) 1.3109995396807954 y[1] (numeric) 1.3109995396807974 absolute error 1.9984014443252818e-15 relative error 1.524334207479475e-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 0.17015793217299596 Order of pole (three term test) -21.510631964247267 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y[1] (analytic) 1.3178651984383092 y[1] (numeric) 1.3178651984383112 absolute error 1.9984014443252818e-15 relative error 1.5163929108177517e-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 0.16320577543317302 Order of pole (three term test) -21.844616114159454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y[1] (analytic) 1.3246377142212753 y[1] (numeric) 1.3246377142212775 absolute error 2.220446049250313e-15 relative error 1.676266669302605e-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 0.15599291923524022 Order of pole (three term test) -22.16440293926907 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y[1] (analytic) 1.331316378047014 y[1] (numeric) 1.3313163780470165 absolute error 2.4424906541753444e-15 relative error 1.834643285736766e-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 0.14853089874990918 Order of pole (three term test) -22.4694824247598 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y[1] (analytic) 1.3379005184723771 y[1] (numeric) 1.3379005184723798 absolute error 2.6645352591003757e-15 relative error 1.9915795100690732e-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 0.14083164525832795 Order of pole (three term test) -22.75936806387925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y[1] (analytic) 1.3443895018623158 y[1] (numeric) 1.3443895018623186 absolute error 2.886579864025407e-15 relative error 2.1471306195315955e-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 0.1329074671054194 Order of pole (three term test) -23.033597626312478 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y[1] (analytic) 1.350782732643327 y[1] (numeric) 1.35078273264333 absolute error 2.886579864025407e-15 relative error 2.1369682882877109e-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 0.1247710300656838 Order of pole (three term test) -23.291733887914106 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y[1] (analytic) 1.3570796535416745 y[1] (numeric) 1.3570796535416776 absolute error 3.1086244689504383e-15 relative error 2.2906720772340987e-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 0.11643533715251547 Order of pole (three term test) -23.533365320693914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y[1] (analytic) 1.363279745806291 y[1] (numeric) 1.3632797458062942 absolute error 3.1086244689504383e-15 relative error 2.2802542754069083e-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 0.10791370790287376 Order of pole (three term test) -23.758106742012163 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y[1] (analytic) 1.3693825294162718 y[1] (numeric) 1.3693825294162751 absolute error 3.3306690738754696e-15 relative error 2.4322415412260574e-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 0.09921975716988828 Order of pole (three term test) -23.965599922004674 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y[1] (analytic) 1.3753875632728763 y[1] (numeric) 1.3753875632728798 absolute error 3.552713678800501e-15 relative error 2.5830636932229146e-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 0.09036737345668872 Order of pole (three term test) -24.155514148321664 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y[1] (analytic) 1.3812944453759624 y[1] (numeric) 1.381294445375966 absolute error 3.552713678800501e-15 relative error 2.5720176394639155e-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 0.08137069682537593 Order of pole (three term test) -24.327546747330278 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y[1] (analytic) 1.38710281298478 y[1] (numeric) 1.3871028129847838 absolute error 3.774758283725532e-15 relative error 2.721325519918004e-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 0.07224409641567095 Order of pole (three term test) -24.481423560996824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y[1] (analytic) 1.3928123427630639 y[1] (numeric) 1.3928123427630679 absolute error 3.9968028886505635e-15 relative error 2.869591807839452e-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 0.06300214760830786 Order of pole (three term test) -24.616899378732697 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y[1] (analytic) 1.3984227509083633 y[1] (numeric) 1.3984227509083673 absolute error 3.9968028886505635e-15 relative error 2.858079136694815e-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 0.05365960886874439 Order of pole (three term test) -24.733758323555897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y[1] (analytic) 1.4039337932655584 y[1] (numeric) 1.4039337932655627 absolute error 4.218847493575595e-15 relative error 3.005018836224841e-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 0.044231398307206134 Order of pole (three term test) -24.83181419198946 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y[1] (analytic) 1.4093452654245204 y[1] (numeric) 1.4093452654245247 absolute error 4.218847493575595e-15 relative error 2.993480445903936e-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 0.03473256999147402 Order of pole (three term test) -24.910910747187664 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y[1] (analytic) 1.4146570028018717 y[1] (numeric) 1.4146570028018761 absolute error 4.440892098500626e-15 relative error 3.139200590464677e-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 0.02517829004917861 Order of pole (three term test) -24.970921964851396 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y[1] (analytic) 1.4198688807068178 y[1] (numeric) 1.4198688807068225 absolute error 4.6629367034256575e-15 relative error 3.2840614839761995e-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 0.015583812596636559 Order of pole (three term test) -25.011752231564962 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y[1] (analytic) 1.424980814391022 y[1] (numeric) 1.4249808143910268 absolute error 4.6629367034256575e-15 relative error 3.2722803397310325e-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 0.005964455531532724 Order of pole (three term test) -25.033336495257693 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y[1] (analytic) 1.429992759082503 y[1] (numeric) 1.4299927590825077 absolute error 4.6629367034256575e-15 relative error 3.260811408875554e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y[1] (analytic) 1.4349047100035432 y[1] (numeric) 1.434904710003548 absolute error 4.6629367034256575e-15 relative error 3.2496490330804917e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y[1] (analytic) 1.4397167023726003 y[1] (numeric) 1.4397167023726052 absolute error 4.884981308350689e-15 relative error 3.3930156539133145e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y[1] (analytic) 1.4444288113902202 y[1] (numeric) 1.444428811390225 absolute error 4.884981308350689e-15 relative error 3.381946738966691e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y[1] (analytic) 1.4490411522089568 y[1] (numeric) 1.449041152208962 absolute error 5.10702591327572e-15 relative error 3.5244174435559916e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y[1] (analytic) 1.4535538798873144 y[1] (numeric) 1.4535538798873195 absolute error 5.10702591327572e-15 relative error 3.5134754782338293e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y[1] (analytic) 1.4579671893277248 y[1] (numeric) 1.45796718932773 absolute error 5.10702591327572e-15 relative error 3.502840084920287e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y[1] (analytic) 1.4622813151985892 y[1] (numeric) 1.4622813151985943 absolute error 5.10702591327572e-15 relative error 3.492505758088105e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y[1] (analytic) 1.4664965318404142 y[1] (numeric) 1.4664965318404195 absolute error 5.329070518200751e-15 relative error 3.6338787051292304e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y[1] (analytic) 1.4706131531560798 y[1] (numeric) 1.470613153156085 absolute error 5.329070518200751e-15 relative error 3.6237065517631505e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y[1] (analytic) 1.4746315324852812 y[1] (numeric) 1.4746315324852868 absolute error 5.551115123125783e-15 relative error 3.7644082612082557e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y[1] (analytic) 1.478552062463199 y[1] (numeric) 1.4785520624632045 absolute error 5.551115123125783e-15 relative error 3.754426552878959e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y[1] (analytic) 1.4823751748634488 y[1] (numeric) 1.4823751748634544 absolute error 5.551115123125783e-15 relative error 3.7447437175525634e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y[1] (analytic) 1.4861013404253793 y[1] (numeric) 1.4861013404253849 absolute error 5.551115123125783e-15 relative error 3.735354361188343e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y[1] (analytic) 1.4897310686657812 y[1] (numeric) 1.489731068665787 absolute error 5.773159728050814e-15 relative error 3.875303301032257e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y[1] (analytic) 1.4932649076750886 y[1] (numeric) 1.4932649076750943 absolute error 5.773159728050814e-15 relative error 3.8661323241294334e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y[1] (analytic) 1.496703443898149 y[1] (numeric) 1.4967034438981548 absolute error 5.773159728050814e-15 relative error 3.857250246591721e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y[1] (analytic) 1.5000473018996539 y[1] (numeric) 1.5000473018996598 absolute error 5.995204332975845e-15 relative error 3.9966768550455327e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y[1] (analytic) 1.5032971441143212 y[1] (numeric) 1.5032971441143272 absolute error 5.995204332975845e-15 relative error 3.988036800607351e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y[1] (analytic) 1.5064536705819298 y[1] (numeric) 1.506453670581936 absolute error 6.217248937900877e-15 relative error 4.127076098861512e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y[1] (analytic) 1.5095176186673136 y[1] (numeric) 1.5095176186673198 absolute error 6.217248937900877e-15 relative error 4.1186991533029014e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y[1] (analytic) 1.5124897627654246 y[1] (numeric) 1.5124897627654308 absolute error 6.217248937900877e-15 relative error 4.1106056324859395e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y[1] (analytic) 1.5153709139915856 y[1] (numeric) 1.515370913991592 absolute error 6.439293542825908e-15 relative error 4.2493184232132246e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y[1] (analytic) 1.5181619198570555 y[1] (numeric) 1.5181619198570622 absolute error 6.661338147750939e-15 relative error 4.3877652710312654e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y[1] (analytic) 1.5208636639300352 y[1] (numeric) 1.520863663930042 absolute error 6.661338147750939e-15 relative error 4.3799706086326637e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y[1] (analytic) 1.5234770654822525 y[1] (numeric) 1.5234770654822594 absolute error 6.8833827526759706e-15 relative error 4.518205694482873e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y[1] (analytic) 1.5260030791212658 y[1] (numeric) 1.5260030791212724 absolute error 6.661338147750939e-15 relative error 4.365219335983783e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y[1] (analytic) 1.528442694408633 y[1] (numeric) 1.5284426944086398 absolute error 6.8833827526759706e-15 relative error 4.503526875987463e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y[1] (analytic) 1.5307969354641013 y[1] (numeric) 1.5307969354641082 absolute error 6.8833827526759706e-15 relative error 4.4966008183110793e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y[1] (analytic) 1.5330668605559725 y[1] (numeric) 1.5330668605559794 absolute error 6.8833827526759706e-15 relative error 4.4899429566820624e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y[1] (analytic) 1.5352535616778091 y[1] (numeric) 1.535253561677816 absolute error 6.8833827526759706e-15 relative error 4.483547815484911e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y[1] (analytic) 1.5373581641116523 y[1] (numeric) 1.5373581641116592 absolute error 6.8833827526759706e-15 relative error 4.4774099577852554e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.254621024284883 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y[1] (analytic) 1.5393818259779235 y[1] (numeric) 1.5393818259779306 absolute error 7.105427357601002e-15 relative error 4.615766691338671e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.564416278156175 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y[1] (analytic) 1.5413257377721925 y[1] (numeric) 1.5413257377721996 absolute error 7.105427357601002e-15 relative error 4.609945311022362e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.883730493068939 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y[1] (analytic) 1.5431911218889944 y[1] (numeric) 1.5431911218890015 absolute error 7.105427357601002e-15 relative error 4.604372884742473e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.2132769577693 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y[1] (analytic) 1.544979232132888 y[1] (numeric) 1.544979232132895 absolute error 7.105427357601002e-15 relative error 4.599043928759973e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.55383235472585 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y[1] (analytic) 1.5466913532169508 y[1] (numeric) 1.546691353216958 absolute error 7.105427357601002e-15 relative error 4.593952984105382e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.906244387043872 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y[1] (analytic) 1.5483288002489117 y[1] (numeric) 1.548328800248919 absolute error 7.327471962526033e-15 relative error 4.732503820472795e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.271440511184027 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y[1] (analytic) 1.5498929182051246 y[1] (numeric) 1.549892918205132 absolute error 7.327471962526033e-15 relative error 4.727727881363388e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.650437968591262 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y[1] (analytic) 1.5513850813925958 y[1] (numeric) 1.5513850813926031 absolute error 7.327471962526033e-15 relative error 4.723180627693384e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.458048496032465 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y[1] (analytic) 1.5528066928992796 y[1] (numeric) 1.552806692899287 absolute error 7.327471962526033e-15 relative error 4.718856504182596e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.087060381681292 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y[1] (analytic) 1.5541591840328621 y[1] (numeric) 1.5541591840328697 absolute error 7.549516567451064e-15 relative error 4.857621178714106e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.730002127456276 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y[1] (analytic) 1.5554440137482575 y[1] (numeric) 1.5554440137482648 absolute error 7.327471962526033e-15 relative error 4.710855484196139e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.385833408653099 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y[1] (analytic) 1.556662668064044 y[1] (numeric) 1.5566626680640514 absolute error 7.327471962526033e-15 relative error 4.707167527592155e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.053607612225724 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y[1] (analytic) 1.5578166594680785 y[1] (numeric) 1.557816659468086 absolute error 7.549516567451064e-15 relative error 4.846216351305982e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.732461195052665 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y[1] (analytic) 1.5589075263125198 y[1] (numeric) 1.5589075263125274 absolute error 7.549516567451064e-15 relative error 4.842825145189263e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.42160444454386 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y[1] (analytic) 1.5599368321985092 y[1] (numeric) 1.5599368321985168 absolute error 7.549516567451064e-15 relative error 4.839629664241656e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.1203134296612065 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y[1] (analytic) 1.5609061653507503 y[1] (numeric) 1.5609061653507579 absolute error 7.549516567451064e-15 relative error 4.836624221901652e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y[1] (analytic) 1.5618171379822408 y[1] (numeric) 1.5618171379822483 absolute error 7.549516567451064e-15 relative error 4.833803128325583e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y[1] (analytic) 1.562671385649408 y[1] (numeric) 1.5626713856494157 absolute error 7.549516567451064e-15 relative error 4.831160688537001e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y[1] (analytic) 1.5634705665979096 y[1] (numeric) 1.5634705665979174 absolute error 7.771561172376096e-15 relative error 4.970711530110161e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y[1] (analytic) 1.564216361099356 y[1] (numeric) 1.5642163610993638 absolute error 7.771561172376096e-15 relative error 4.968341570672564e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y[1] (analytic) 1.5649104707792243 y[1] (numeric) 1.5649104707792323 absolute error 7.993605777301127e-15 relative error 5.108027536757951e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y[1] (analytic) 1.5655546179362319 y[1] (numeric) 1.5655546179362398 absolute error 7.993605777301127e-15 relative error 5.105925839775921e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y[1] (analytic) 1.5661505448534383 y[1] (numeric) 1.5661505448534463 absolute error 7.993605777301127e-15 relative error 5.103983013362981e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y[1] (analytic) 1.5667000131013566 y[1] (numeric) 1.5667000131013646 absolute error 7.993605777301127e-15 relative error 5.102192960014985e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y[1] (analytic) 1.567204802833348 y[1] (numeric) 1.567204802833356 absolute error 7.993605777301127e-15 relative error 5.100549566240159e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y[1] (analytic) 1.5676667120735845 y[1] (numeric) 1.5676667120735925 absolute error 7.993605777301127e-15 relative error 5.099046701532511e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y[1] (analytic) 1.5680875559978626 y[1] (numeric) 1.5680875559978709 absolute error 8.215650382226158e-15 relative error 5.239280390180812e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y[1] (analytic) 1.5684691662075585 y[1] (numeric) 1.5684691662075665 absolute error 7.993605777301127e-15 relative error 5.096437946962687e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y[1] (analytic) 1.56881338999701 y[1] (numeric) 1.568813389997018 absolute error 7.993605777301127e-15 relative error 5.095319703585882e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y[1] (analytic) 1.5691220896146256 y[1] (numeric) 1.5691220896146336 absolute error 7.993605777301127e-15 relative error 5.094317281113763e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y[1] (analytic) 1.5693971415180081 y[1] (numeric) 1.5693971415180163 absolute error 8.215650382226158e-15 relative error 5.234908465730685e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y[1] (analytic) 1.569640435623398 y[1] (numeric) 1.5696404356234062 absolute error 8.215650382226158e-15 relative error 5.234097055459222e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y[1] (analytic) 1.569853874549731 y[1] (numeric) 1.5698538745497392 absolute error 8.215650382226158e-15 relative error 5.233385422310461e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y[1] (analytic) 1.5700393728576167 y[1] (numeric) 1.570039372857625 absolute error 8.215650382226158e-15 relative error 5.232767103969448e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y[1] (analytic) 1.5701988562835396 y[1] (numeric) 1.5701988562835476 absolute error 7.993605777301127e-15 relative error 5.090823843943545e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y[1] (analytic) 1.5703342609695896 y[1] (numeric) 1.5703342609695976 absolute error 7.993605777301127e-15 relative error 5.090384879182056e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y[1] (analytic) 1.5704475326890321 y[1] (numeric) 1.5704475326890401 absolute error 7.993605777301127e-15 relative error 5.09001772482899e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y[1] (analytic) 1.5705406260680237 y[1] (numeric) 1.570540626068032 absolute error 8.215650382226158e-15 relative error 5.231097015805767e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y[1] (analytic) 1.5706155038037883 y[1] (numeric) 1.5706155038037966 absolute error 8.215650382226158e-15 relative error 5.23084762777976e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y[1] (analytic) 1.5706741358795644 y[1] (numeric) 1.5706741358795726 absolute error 8.215650382226158e-15 relative error 5.230652364199951e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y[1] (analytic) 1.5707184987766374 y[1] (numeric) 1.5707184987766456 absolute error 8.215650382226158e-15 relative error 5.230504631240393e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y[1] (analytic) 1.5707505746837744 y[1] (numeric) 1.5707505746837824 absolute error 7.993605777301127e-15 relative error 5.089035717150962e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y[1] (analytic) 1.570772350704374 y[1] (numeric) 1.5707723507043823 absolute error 8.215650382226158e-15 relative error 5.23032531005658e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y[1] (analytic) 1.5707858180616532 y[1] (numeric) 1.5707858180616612 absolute error 7.993605777301127e-15 relative error 5.088921535569517e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y[1] (analytic) 1.5707929713021822 y[1] (numeric) 1.5707929713021902 absolute error 7.993605777301127e-15 relative error 5.088898361108946e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y[1] (analytic) 1.5707958074980948 y[1] (numeric) 1.5707958074981028 absolute error 7.993605777301127e-15 relative error 5.088889172700967e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y[1] (analytic) 1.5707963254482846 y[1] (numeric) 1.5707963254482926 absolute error 7.993605777301127e-15 relative error 5.088887494704227e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y[1] (analytic) 1.5707965248789124 y[1] (numeric) 1.5707965248789206 absolute error 8.215650382226158e-15 relative error 5.230244816628606e-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 0.008105552878838913 Order of pole (three term test) -0.8996922509012474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1599999999999766 y[1] (analytic) 1.5707984056435433 y[1] (numeric) 1.5707984056435513 absolute error 7.993605777301127e-15 relative error 5.088880755532861e-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 0.01773387460844622 Order of pole (three term test) -0.925610358878907 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1699999999999764 y[1] (analytic) 1.5708039669232305 y[1] (numeric) 1.5708039669232385 absolute error 7.993605777301127e-15 relative error 5.088862738842189e-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 0.027333767655951115 Order of pole (three term test) -0.9708151397571749 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.179999999999976 y[1] (analytic) 1.5708152064268703 y[1] (numeric) 1.5708152064268783 absolute error 7.993605777301127e-15 relative error 5.088826326989897e-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 0.03688984303657483 Order of pole (three term test) -1.035233979042101 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.189999999999976 y[1] (analytic) 1.5708341195921456 y[1] (numeric) 1.5708341195921536 absolute error 7.993605777301127e-15 relative error 5.088765056476238e-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 0.04638678243772829 Order of pole (three term test) -1.1187633997529833 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1999999999999758 y[1] (analytic) 1.5708626987873766 y[1] (numeric) 1.5708626987873846 absolute error 7.993605777301127e-15 relative error 5.088672474985733e-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 0.055809362921295444 Order of pole (three term test) -1.2212692306605462 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2099999999999755 y[1] (analytic) 1.5709029325146004 y[1] (numeric) 1.5709029325146084 absolute error 7.993605777301127e-15 relative error 5.088542144679478e-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 0.06514248146839721 Order of pole (three term test) -1.3425868244077617 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2199999999999753 y[1] (analytic) 1.570956804614197 y[1] (numeric) 1.570956804614205 absolute error 7.993605777301127e-15 relative error 5.088367645642703e-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 0.07437117932614108 Order of pole (three term test) -1.482521325142004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.229999999999975 y[1] (analytic) 1.5710262934713788 y[1] (numeric) 1.5710262934713868 absolute error 7.993605777301127e-15 relative error 5.088142579484305e-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 0.08348066611621852 Order of pole (three term test) -1.6408479852031643 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.239999999999975 y[1] (analytic) 1.5711133712248637 y[1] (numeric) 1.5711133712248717 absolute error 7.993605777301127e-15 relative error 5.087860573084673e-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 0.09245634366564107 Order of pole (three term test) -1.817312530329194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2499999999999747 y[1] (analytic) 1.5712200029780459 y[1] (numeric) 1.5712200029780536 absolute error 7.771561172376096e-15 relative error 4.946195413529677e-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 0.10128382952040488 Order of pole (three term test) -2.0116315727584495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2599999999999745 y[1] (analytic) 1.5713481460129795 y[1] (numeric) 1.5713481460129874 absolute error 7.993605777301127e-15 relative error 5.087100396932087e-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 0.10994898010344213 Order of pole (three term test) -2.2234930715273213 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2699999999999743 y[1] (analytic) 1.5714997490074938 y[1] (numeric) 1.5714997490075018 absolute error 7.993605777301127e-15 relative error 5.086609643017518e-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 0.11843791347885607 Order of pole (three term test) -2.452556839182182 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.279999999999974 y[1] (analytic) 1.5716767512557464 y[1] (numeric) 1.5716767512557543 absolute error 7.993605777301127e-15 relative error 5.086036788998982e-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 0.12673703168514114 Order of pole (three term test) -2.698455094046729 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.289999999999974 y[1] (analytic) 1.571881081892532 y[1] (numeric) 1.5718810818925402 absolute error 8.215650382226158e-15 relative error 5.226636083904377e-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 0.1348330426008568 Order of pole (three term test) -2.960793057109518 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2999999999999736 y[1] (analytic) 1.5721146591216548 y[1] (numeric) 1.572114659121663 absolute error 8.215650382226158e-15 relative error 5.225859535471965e-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 0.1427129813070612 Order of pole (three term test) -3.2391495925221063 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3099999999999734 y[1] (analytic) 1.5723793894486715 y[1] (numeric) 1.5723793894486797 absolute error 8.215650382226158e-15 relative error 5.224979694694955e-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 0.1503642309117002 Order of pole (three term test) -3.5330778906256737 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.319999999999973 y[1] (analytic) 1.5726771669183153 y[1] (numeric) 1.5726771669183235 absolute error 8.215650382226158e-15 relative error 5.223990374531125e-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 0.15777454280211053 Order of pole (three term test) -3.8421061923538185 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.329999999999973 y[1] (analytic) 1.573009872356903 y[1] (numeric) 1.573009872356911 absolute error 7.993605777301127e-15 relative error 5.081726388229204e-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 0.16493205629279556 Order of pole (three term test) -4.1657385537908045 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3399999999999728 y[1] (analytic) 1.5733793726200291 y[1] (numeric) 1.5733793726200371 absolute error 7.993605777301127e-15 relative error 5.080532970246065e-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 0.17182531763671313 Order of pole (three term test) -4.503455649599051 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3499999999999726 y[1] (analytic) 1.5737875198458493 y[1] (numeric) 1.5737875198458573 absolute error 7.993605777301127e-15 relative error 5.079215381047177e-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 0.17844329836942616 Order of pole (three term test) -4.854715613966194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3599999999999723 y[1] (analytic) 1.5742361507142495 y[1] (numeric) 1.5742361507142575 absolute error 7.993605777301127e-15 relative error 5.077767889953698e-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 0.18477541295663985 Order of pole (three term test) -5.2189549176613195 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.369999999999972 y[1] (analytic) 1.574727085712198 y[1] (numeric) 1.574727085712206 absolute error 7.993605777301127e-15 relative error 5.076184851221936e-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 0.19081153571687093 Order of pole (three term test) -5.59558927973189 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.379999999999972 y[1] (analytic) 1.575262128405576 y[1] (numeric) 1.5752621284055839 absolute error 7.993605777301127e-15 relative error 5.074460709210326e-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 0.19654201699225501 Order of pole (three term test) -5.984014612317743 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3899999999999717 y[1] (analytic) 1.5758430647177735 y[1] (numeric) 1.5758430647177815 absolute error 7.993605777301127e-15 relative error 5.072590003581827e-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 0.20195769854180534 Order of pole (three term test) -6.383607997005798 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3999999999999715 y[1] (analytic) 1.576471662215346 y[1] (numeric) 1.576471662215354 absolute error 7.993605777301127e-15 relative error 5.07056737453058e-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 0.2070499281327881 Order of pole (three term test) -6.79372869110009 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4099999999999713 y[1] (analytic) 1.5771496694010099 y[1] (numeric) 1.577149669401018 absolute error 8.215650382226158e-15 relative error 5.209176111577542e-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 0.211810573307252 Order of pole (three term test) -7.213719162134561 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.419999999999971 y[1] (analytic) 1.577878815014265 y[1] (numeric) 1.5778788150142733 absolute error 8.215650382226158e-15 relative error 5.206768925503245e-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 0.2162320343021809 Order of pole (three term test) -7.6429061489134815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.429999999999971 y[1] (analytic) 1.5786608073399222 y[1] (numeric) 1.5786608073399304 absolute error 8.215650382226158e-15 relative error 5.20418974362815e-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 0.22030725610317772 Order of pole (three term test) -8.080601747323286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4399999999999706 y[1] (analytic) 1.5794973335248117 y[1] (numeric) 1.57949733352482 absolute error 8.215650382226158e-15 relative error 5.201433524355552e-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 0.22402973961306819 Order of pole (three term test) -8.526104519123077 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4499999999999704 y[1] (analytic) 1.5803900589029474 y[1] (numeric) 1.5803900589029556 absolute error 8.215650382226158e-15 relative error 5.198495356221857e-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 0.2273935519183193 Order of pole (three term test) -8.97870062188694 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.45999999999997 y[1] (analytic) 1.581340626329415 y[1] (numeric) 1.5813406263294232 absolute error 8.215650382226158e-15 relative error 5.195370463159608e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.0262422924738015 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23039333563768502 Order of pole (three term test) -9.43766495824053 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.46999999999997 y[1] (analytic) 1.5823506555232523 y[1] (numeric) 1.5823506555232605 absolute error 8.215650382226158e-15 relative error 5.192054209696905e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.324628637345766 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2330243173390459 Order of pole (three term test) -9.9022623425073 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.47999999999997 y[1] (analytic) 1.5834217424195827 y[1] (numeric) 1.583421742419591 absolute error 8.43769498715119e-15 relative error 5.328772973811628e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.632362770541345 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2352823150119619 Order of pole (three term test) -10.371748682855532 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4899999999999696 y[1] (analytic) 1.5845554585312631 y[1] (numeric) 1.5845554585312716 absolute error 8.43769498715119e-15 relative error 5.324960348798492e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.9501491909952815 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23716374458503933 Order of pole (three term test) -10.845372177016744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4999999999999694 y[1] (analytic) 1.585753350320299 y[1] (numeric) 1.5857533503203074 absolute error 8.43769498715119e-15 relative error 5.320937827718856e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.278755835880002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23866562547879436 Order of pole (three term test) -11.322374519628614 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.509999999999969 y[1] (analytic) 1.5870169385792805 y[1] (numeric) 1.587016938579289 absolute error 8.43769498715119e-15 relative error 5.316701279007602e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.619021788903533 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23978558518628879 Order of pole (three term test) -11.801992119241612 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.519999999999969 y[1] (analytic) 1.588347717823086 y[1] (numeric) 1.5883477178230945 absolute error 8.43769498715119e-15 relative error 5.312246740729728e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.97186611937414 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24052186287541633 Order of pole (three term test) -12.283457323017728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5299999999999687 y[1] (analytic) 1.589747155691096 y[1] (numeric) 1.5897471556911043 absolute error 8.215650382226158e-15 relative error 5.16789751931001e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.338298051748247 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24087331200831116 Order of pole (three term test) -12.76599964714244 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5399999999999685 y[1] (analytic) 1.5912166923601558 y[1] (numeric) 1.5912166923601643 absolute error 8.43769498715119e-15 relative error 5.302668723664572e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.719428706640556 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.240839401974956 Order of pole (three term test) -13.24884701096666 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5499999999999683 y[1] (analytic) 1.592757739968526 y[1] (numeric) 1.5927577399685344 absolute error 8.43769498715119e-15 relative error 5.297538210247796e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.390613712822264 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24042021873966052 Order of pole (three term test) -13.731226972894978 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.559999999999968 y[1] (analytic) 1.5943716820510443 y[1] (numeric) 1.5943716820510527 absolute error 8.43769498715119e-15 relative error 5.292175646456981e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.02113643288738 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23961646450066826 Order of pole (three term test) -14.21236796603848 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.569999999999968 y[1] (analytic) 1.596059872985731 y[1] (numeric) 1.5960598729857394 absolute error 8.43769498715119e-15 relative error 5.286577984926649e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.664757004178027 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23842945636473864 Order of pole (three term test) -14.691500531656263 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5799999999999677 y[1] (analytic) 1.5978236374520551 y[1] (numeric) 1.5978236374520636 absolute error 8.43769498715119e-15 relative error 5.280742373173444e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.320520527715328 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23686112404011223 Order of pole (three term test) -15.167858548418268 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5899999999999674 y[1] (analytic) 1.5996642699010812 y[1] (numeric) 1.5996642699010897 absolute error 8.43769498715119e-15 relative error 5.27466615708867e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.987554902057009 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.23491400655282993 Order of pole (three term test) -15.640680455534453 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5999999999999672 y[1] (analytic) 1.6015830340377053 y[1] (numeric) 1.6015830340377137 absolute error 8.43769498715119e-15 relative error 5.268346884194419e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.665061699511657 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2325912479929145 Order of pole (three term test) -16.109210467809103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.609999999999967 y[1] (analytic) 1.6035811623151899 y[1] (numeric) 1.6035811623151983 absolute error 8.43769498715119e-15 relative error 5.26178230665242e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.352308205870141 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.22989659229844345 Order of pole (three term test) -16.57269978069842 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.619999999999967 y[1] (analytic) 1.6056598554421997 y[1] (numeric) 1.6056598554422081 absolute error 8.43769498715119e-15 relative error 5.254970384015389e-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 0.22683437708704776 Order of pole (three term test) -17.03040776346899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6299999999999666 y[1] (analytic) 1.6078202819025338 y[1] (numeric) 1.6078202819025422 absolute error 8.43769498715119e-15 relative error 5.247909285711252e-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 0.22340952654584328 Order of pole (three term test) -17.481603138579274 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6399999999999664 y[1] (analytic) 1.6100635774877474 y[1] (numeric) 1.6100635774877559 absolute error 8.43769498715119e-15 relative error 5.240597393251324e-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 0.21962754339225965 Order of pole (three term test) -17.92556514543264 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.649999999999966 y[1] (analytic) 1.6123908448428508 y[1] (numeric) 1.6123908448428594 absolute error 8.659739592076221e-15 relative error 5.370744704842473e-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 0.21549449991965783 Order of pole (three term test) -18.361584686679194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.659999999999966 y[1] (analytic) 1.6148031530252662 y[1] (numeric) 1.6148031530252749 absolute error 8.659739592076221e-15 relative error 5.362721503145793e-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 0.21101702814302198 Order of pole (three term test) -18.788965455276344 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6699999999999657 y[1] (analytic) 1.6173015370772186 y[1] (numeric) 1.6173015370772272 absolute error 8.659739592076221e-15 relative error 5.354437248434247e-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 0.20620230906138165 Order of pole (three term test) -19.207025040551784 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6799999999999655 y[1] (analytic) 1.6198869976117325 y[1] (numeric) 1.6198869976117412 absolute error 8.659739592076221e-15 relative error 5.345891167003402e-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 0.20105806105495658 Order of pole (three term test) -19.615096011550122 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6899999999999653 y[1] (analytic) 1.6225605004124006 y[1] (numeric) 1.6225605004124095 absolute error 8.881784197001252e-15 relative error 5.473930984233747e-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 0.19559252743631134 Order of pole (three term test) -20.012526975983462 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.699999999999965 y[1] (analytic) 1.6253229760470835 y[1] (numeric) 1.6253229760470924 absolute error 8.881784197001252e-15 relative error 5.464627232799272e-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 0.1898144631760811 Order of pole (three term test) -20.398683613148037 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.709999999999965 y[1] (analytic) 1.6281753194956938 y[1] (numeric) 1.6281753194957027 absolute error 8.881784197001252e-15 relative error 5.455053943301555e-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 0.18373312082505286 Order of pole (three term test) -20.772949679213255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7199999999999647 y[1] (analytic) 1.631118389792217 y[1] (numeric) 1.6311183897922261 absolute error 9.103828801926284e-15 relative error 5.58134152548301e-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 0.17735823565557618 Order of pole (three term test) -21.134727983335456 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7299999999999645 y[1] (analytic) 1.6341530096811092 y[1] (numeric) 1.6341530096811185 absolute error 9.325873406851315e-15 relative error 5.706854469319968e-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 0.17070001004643404 Order of pole (three term test) -21.48344133309706 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7399999999999642 y[1] (analytic) 1.6372799652882102 y[1] (numeric) 1.6372799652882195 absolute error 9.325873406851315e-15 relative error 5.695955245631851e-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 0.1637690971364112 Order of pole (three term test) -21.818533447821963 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.749999999999964 y[1] (analytic) 1.6405000058063035 y[1] (numeric) 1.6405000058063128 absolute error 9.325873406851315e-15 relative error 5.684774991675578e-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 0.15657658377286016 Order of pole (three term test) -22.13946983837064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.759999999999964 y[1] (analytic) 1.6438138431954492 y[1] (numeric) 1.6438138431954588 absolute error 9.547918011776346e-15 relative error 5.808393724934157e-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 0.14913397278260193 Order of pole (three term test) -22.445738652071736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7699999999999636 y[1] (analytic) 1.6472221518982102 y[1] (numeric) 1.6472221518982197 absolute error 9.547918011776346e-15 relative error 5.796375431676661e-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 0.14145316459346852 Order of pole (three term test) -22.736851481503454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7799999999999634 y[1] (analytic) 1.6507255685698827 y[1] (numeric) 1.6507255685698923 absolute error 9.547918011776346e-15 relative error 5.784073496873408e-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 0.13354643823573817 Order of pole (three term test) -23.012344135894768 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.789999999999963 y[1] (analytic) 1.6543246918238441 y[1] (numeric) 1.6543246918238537 absolute error 9.547918011776346e-15 relative error 5.771489755889485e-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 0.1254264317535983 Order of pole (three term test) -23.271777373976104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.799999999999963 y[1] (analytic) 1.6580200819921145 y[1] (numeric) 1.6580200819921243 absolute error 9.769962616701378e-15 relative error 5.892547818216259e-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 0.11710612205761849 Order of pole (three term test) -23.514737597169063 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8099999999999627 y[1] (analytic) 1.6618122609012322 y[1] (numeric) 1.661812260901242 absolute error 9.769962616701378e-15 relative error 5.879101295956826e-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 0.10859880425001654 Order of pole (three term test) -23.74083750206673 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8199999999999625 y[1] (analytic) 1.6657017116635295 y[1] (numeric) 1.6657017116635393 absolute error 9.769962616701378e-15 relative error 5.865373462901803e-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 0.09991807045523907 Order of pole (three term test) -23.949716691219432 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8299999999999623 y[1] (analytic) 1.6696888784838944 y[1] (numeric) 1.6696888784839041 absolute error 9.769962616701378e-15 relative error 5.851367127493039e-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 0.0910777881890866 Order of pole (three term test) -24.141042241304913 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.839999999999962 y[1] (analytic) 1.6737741664820942 y[1] (numeric) 1.673774166482104 absolute error 9.769962616701378e-15 relative error 5.837085320318746e-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 0.08209207830026226 Order of pole (three term test) -24.31450922782727 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.849999999999962 y[1] (analytic) 1.6779579415307337 y[1] (numeric) 1.6779579415307437 absolute error 9.992007221626409e-15 relative error 5.954861545880644e-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 0.07297529251882358 Order of pole (three term test) -24.469841205555756 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8599999999999617 y[1] (analytic) 1.682240530108911 y[1] (numeric) 1.682240530108921 absolute error 9.992007221626409e-15 relative error 5.93970186949396e-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 0.06374199064656905 Order of pole (three term test) -24.606790643981657 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8699999999999615 y[1] (analytic) 1.686622219171629 y[1] (numeric) 1.6866222191716391 absolute error 1.021405182655144e-14 relative error 6.055921539779068e-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 0.05440691742489048 Order of pole (three term test) -24.725139317139973 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8799999999999613 y[1] (analytic) 1.6911032560350188 y[1] (numeric) 1.691103256035029 absolute error 1.021405182655144e-14 relative error 6.039874732722963e-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 0.04498497911607618 Order of pole (three term test) -24.824698647211427 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.889999999999961 y[1] (analytic) 1.6956838482774155 y[1] (numeric) 1.695683848277426 absolute error 1.0436096431476471e-14 relative error 6.154506007755e-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 0.03549121983444948 Order of pole (three term test) -24.905310001390276 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.899999999999961 y[1] (analytic) 1.7003641636563303 y[1] (numeric) 1.7003641636563407 absolute error 1.0436096431476471e-14 relative error 6.137565501871967e-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 0.02594079766406479 Order of pole (three term test) -24.966844941573694 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9099999999999606 y[1] (analytic) 1.705144330041349 y[1] (numeric) 1.7051443300413596 absolute error 1.0658141036401503e-14 relative error 6.250579994095308e-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 0.016348960599999574 Order of pole (three term test) -25.00920542649906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9199999999999604 y[1] (analytic) 1.7100244353629868 y[1] (numeric) 1.7100244353629974 absolute error 1.0658141036401503e-14 relative error 6.232741951514336e-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 0.006731022350502661 Order of pole (three term test) -25.032323966027317 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.92999999999996 y[1] (analytic) 1.715004527577516 y[1] (numeric) 1.715004527577527 absolute error 1.0880185641326534e-14 relative error 6.344114820906654e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.93999999999996 y[1] (analytic) 1.720084614647786 y[1] (numeric) 1.7200846146477968 absolute error 1.0880185641326534e-14 relative error 6.325378152140743e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9499999999999598 y[1] (analytic) 1.725264664540036 y[1] (numeric) 1.725264664540047 absolute error 1.0880185641326534e-14 relative error 6.30638641418373e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9599999999999596 y[1] (analytic) 1.73054460523671 y[1] (numeric) 1.7305446052367208 absolute error 1.0880185641326534e-14 relative error 6.287145450283441e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9699999999999593 y[1] (analytic) 1.7359243247652616 y[1] (numeric) 1.7359243247652725 absolute error 1.0880185641326534e-14 relative error 6.267661260405343e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.979999999999959 y[1] (analytic) 1.7414036712429422 y[1] (numeric) 1.7414036712429535 absolute error 1.1324274851176597e-14 relative error 6.502957951784836e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.989999999999959 y[1] (analytic) 1.7469824529375524 y[1] (numeric) 1.7469824529375637 absolute error 1.1324274851176597e-14 relative error 6.482191525241034e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9999999999999587 y[1] (analytic) 1.7526604383441309 y[1] (numeric) 1.7526604383441424 absolute error 1.1546319456101628e-14 relative error 6.587881601875089e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.009999999999959 y[1] (analytic) 1.7584373562775553 y[1] (numeric) 1.7584373562775666 absolute error 1.1324274851176597e-14 relative error 6.439964898805955e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.019999999999959 y[1] (analytic) 1.7643128959810102 y[1] (numeric) 1.7643128959810217 absolute error 1.1546319456101628e-14 relative error 6.544371739504592e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0299999999999585 y[1] (analytic) 1.7702867072502881 y[1] (numeric) 1.7702867072503 absolute error 1.176836406102666e-14 relative error 6.647716447753236e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039999999999958 y[1] (analytic) 1.7763584005738657 y[1] (numeric) 1.7763584005738775 absolute error 1.176836406102666e-14 relative error 6.624994177540299e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049999999999958 y[1] (analytic) 1.7825275472887023 y[1] (numeric) 1.7825275472887143 absolute error 1.199040866595169e-14 relative error 6.726633024095249e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.059999999999958 y[1] (analytic) 1.7887936797517006 y[1] (numeric) 1.7887936797517128 absolute error 1.2212453270876722e-14 relative error 6.827200592844174e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.069999999999958 y[1] (analytic) 1.7951562915267567 y[1] (numeric) 1.7951562915267691 absolute error 1.2434497875801753e-14 relative error 6.926693756133276e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.079999999999957 y[1] (analytic) 1.8016148375873287 y[1] (numeric) 1.8016148375873413 absolute error 1.2656542480726785e-14 relative error 7.025110038323211e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.089999999999957 y[1] (analytic) 1.8081687345344393 y[1] (numeric) 1.808168734534452 absolute error 1.2656542480726785e-14 relative error 6.999646791252336e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.099999999999957 y[1] (analytic) 1.814817360830028 y[1] (numeric) 1.8148173608300409 absolute error 1.2878587085651816e-14 relative error 7.096354356981489e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.109999999999957 y[1] (analytic) 1.821560057045558 y[1] (numeric) 1.821560057045571 absolute error 1.3100631690576847e-14 relative error 7.191984496972967e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.119999999999957 y[1] (analytic) 1.8283961261257786 y[1] (numeric) 1.8283961261257917 absolute error 1.3100631690576847e-14 relative error 7.165094862859949e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.129999999999956 y[1] (analytic) 1.8353248336675385 y[1] (numeric) 1.8353248336675516 absolute error 1.3100631690576847e-14 relative error 7.13804523878086e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.139999999999956 y[1] (analytic) 1.8423454082135364 y[1] (numeric) 1.8423454082135498 absolute error 1.3322676295501878e-14 relative error 7.231367275705619e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.149999999999956 y[1] (analytic) 1.849457041560895 y[1] (numeric) 1.8494570415609084 absolute error 1.3322676295501878e-14 relative error 7.203560826834818e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.159999999999956 y[1] (analytic) 1.85665888908443 y[1] (numeric) 1.8566588890844433 absolute error 1.3322676295501878e-14 relative error 7.175618727719909e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1699999999999555 y[1] (analytic) 1.8639500700744893 y[1] (numeric) 1.8639500700745029 absolute error 1.354472090042691e-14 relative error 7.266675818137993e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.179999999999955 y[1] (analytic) 1.8713296680892255 y[1] (numeric) 1.8713296680892395 absolute error 1.3988810110276972e-14 relative error 7.475331764798367e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.189999999999955 y[1] (analytic) 1.8787967313211607 y[1] (numeric) 1.8787967313211749 absolute error 1.4210854715202004e-14 relative error 7.563806386446607e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.199999999999955 y[1] (analytic) 1.8863502729778956 y[1] (numeric) 1.8863502729779098 absolute error 1.4210854715202004e-14 relative error 7.533518519213281e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.209999999999955 y[1] (analytic) 1.893989271676814 y[1] (numeric) 1.8939892716768285 absolute error 1.4432899320127035e-14 relative error 7.620370155185246e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2199999999999545 y[1] (analytic) 1.9017126718536232 y[1] (numeric) 1.9017126718536377 absolute error 1.4432899320127035e-14 relative error 7.589421648044816e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.229999999999954 y[1] (analytic) 1.9095193841845635 y[1] (numeric) 1.9095193841845781 absolute error 1.4654943925052066e-14 relative error 7.674676699503775e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.239999999999954 y[1] (analytic) 1.9174082860221247 y[1] (numeric) 1.9174082860221398 absolute error 1.509903313490213e-14 relative error 7.874709442414449e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.249999999999954 y[1] (analytic) 1.9253782218440905 y[1] (numeric) 1.9253782218441056 absolute error 1.509903313490213e-14 relative error 7.842112767038864e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.539406624945418 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.259999999999954 y[1] (analytic) 1.9334280037157303 y[1] (numeric) 1.9334280037157456 absolute error 1.532107773982716e-14 relative error 7.924307349631107e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.8579374684735726 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.269999999999953 y[1] (analytic) 1.9415564117649586 y[1] (numeric) 1.9415564117649744 absolute error 1.5765166949677223e-14 relative error 8.119860362618053e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.18664153131041 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.279999999999953 y[1] (analytic) 1.9497621946702677 y[1] (numeric) 1.9497621946702837 absolute error 1.5987211554602254e-14 relative error 8.199569977458671e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.526290181622548 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.289999999999953 y[1] (analytic) 1.9580440701612385 y[1] (numeric) 1.9580440701612545 absolute error 1.5987211554602254e-14 relative error 8.164888522292432e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.877725162648465 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.299999999999953 y[1] (analytic) 1.966400725531432 y[1] (numeric) 1.9664007255314484 absolute error 1.6431300764452317e-14 relative error 8.356028631962417e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.241867230747518 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3099999999999525 y[1] (analytic) 1.9748308181634555 y[1] (numeric) 1.974830818163472 absolute error 1.6431300764452317e-14 relative error 8.320358692666659e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.61972607564492 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.319999999999952 y[1] (analytic) 1.9833329760659897 y[1] (numeric) 1.9833329760660063 absolute error 1.6653345369377348e-14 relative error 8.396646236583956e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.488223452404322 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.329999999999952 y[1] (analytic) 1.9919057984225685 y[1] (numeric) 1.9919057984225854 absolute error 1.687538997430238e-14 relative error 8.471981951991078e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.116078278635534 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.339999999999952 y[1] (analytic) 2.000547856151887 y[1] (numeric) 2.0005478561519037 absolute error 1.687538997430238e-14 relative error 8.435384298560442e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.757950191154785 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.349999999999952 y[1] (analytic) 2.009257692479412 y[1] (numeric) 2.009257692479429 absolute error 1.7319479184152442e-14 relative error 8.61983967958849e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.412790897842294 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3599999999999515 y[1] (analytic) 2.018033823520078 y[1] (numeric) 2.018033823520095 absolute error 1.7319479184152442e-14 relative error 8.582353269947622e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 8.079646733235494 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.369999999999951 y[1] (analytic) 2.026874738871815 y[1] (numeric) 2.026874738871833 absolute error 1.7763568394002505e-14 relative error 8.764018838130045e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.757647894763646 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.379999999999951 y[1] (analytic) 2.035778902219695 y[1] (numeric) 2.0357789022197132 absolute error 1.8207657603852567e-14 relative error 8.943828617145012e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.445999099972745 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.389999999999951 y[1] (analytic) 2.044744751950433 y[1] (numeric) 2.044744751950452 absolute error 1.865174681370263e-14 relative error 9.12179713184796e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 7.143971449631381 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399999999999951 y[1] (analytic) 2.053770701777015 y[1] (numeric) 2.0537707017770335 absolute error 1.865174681370263e-14 relative error 9.081708487497801e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.40999999999995 y[1] (analytic) 2.0628551413731873 y[1] (numeric) 2.0628551413732064 absolute error 1.9095836023552692e-14 relative error 9.25699320352718e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.41999999999995 y[1] (analytic) 2.071996437017571 y[1] (numeric) 2.0719964370175905 absolute error 1.9539925233402755e-14 relative error 9.430482062762859e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.42999999999995 y[1] (analytic) 2.081192932247125 y[1] (numeric) 2.0811929322471445 absolute error 1.9539925233402755e-14 relative error 9.388810105320185e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.43999999999995 y[1] (analytic) 2.0904429485197094 y[1] (numeric) 2.0904429485197293 absolute error 1.9984014443252818e-14 relative error 9.559703342970426e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4499999999999496 y[1] (analytic) 2.099744785885482 y[1] (numeric) 2.099744785885502 absolute error 1.9984014443252818e-14 relative error 9.517354003012978e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.459999999999949 y[1] (analytic) 2.1090967236668523 y[1] (numeric) 2.1090967236668727 absolute error 2.042810365310288e-14 relative error 9.68571209839386e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.469999999999949 y[1] (analytic) 2.118497021146734 y[1] (numeric) 2.1184970211467546 absolute error 2.042810365310288e-14 relative error 9.642734188054335e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.479999999999949 y[1] (analytic) 2.1279439182648052 y[1] (numeric) 2.1279439182648257 absolute error 2.042810365310288e-14 relative error 9.599925767668078e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.489999999999949 y[1] (analytic) 2.137435636321509 y[1] (numeric) 2.1374356363215297 absolute error 2.0872192862952943e-14 relative error 9.765062633125009e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4999999999999485 y[1] (analytic) 2.146970378689512 y[1] (numeric) 2.1469703786895327 absolute error 2.0872192862952943e-14 relative error 9.721695776582213e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.509999999999948 y[1] (analytic) 2.1565463315323283 y[1] (numeric) 2.1565463315323496 absolute error 2.1316282072803006e-14 relative error 9.884453564072875e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.519999999999948 y[1] (analytic) 2.1661616645298345 y[1] (numeric) 2.166161664529856 absolute error 2.1316282072803006e-14 relative error 9.840577654867558e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.529999999999948 y[1] (analytic) 2.175814531610367 y[1] (numeric) 2.175814531610389 absolute error 2.1760371282653068e-14 relative error 1.0001023049766906e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.539999999999948 y[1] (analytic) 2.185503071689132 y[1] (numeric) 2.185503071689154 absolute error 2.1760371282653068e-14 relative error 9.95668757666623e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.549999999999947 y[1] (analytic) 2.1952254094126107 y[1] (numeric) 2.195225409412633 absolute error 2.220446049250313e-14 relative error 1.0114888611117392e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.559999999999947 y[1] (analytic) 2.2049796559086774 y[1] (numeric) 2.2049796559086996 absolute error 2.220446049250313e-14 relative error 1.007014302059518e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.569999999999947 y[1] (analytic) 2.2147639095421225 y[1] (numeric) 2.2147639095421447 absolute error 2.220446049250313e-14 relative error 1.0025655735510723e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.579999999999947 y[1] (analytic) 2.224576256675282 y[1] (numeric) 2.2245762566753045 absolute error 2.2648549702353193e-14 relative error 1.0181062408803354e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.589999999999947 y[1] (analytic) 2.2344147724334666 y[1] (numeric) 2.2344147724334893 absolute error 2.2648549702353193e-14 relative error 1.0136233425312978e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.599999999999946 y[1] (analytic) 2.2442775214748854 y[1] (numeric) 2.2442775214749084 absolute error 2.3092638912203256e-14 relative error 1.028956476693993e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.609999999999946 y[1] (analytic) 2.2541625587647576 y[1] (numeric) 2.254162558764781 absolute error 2.353672812205332e-14 relative error 1.0441451097010076e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.619999999999946 y[1] (analytic) 2.2640679303533005 y[1] (numeric) 2.2640679303533244 absolute error 2.398081733190338e-14 relative error 1.0591915997927347e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.629999999999946 y[1] (analytic) 2.2739916741572825 y[1] (numeric) 2.273991674157307 absolute error 2.4424906541753444e-14 relative error 1.0740983275941439e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6399999999999455 y[1] (analytic) 2.2839318207448316 y[1] (numeric) 2.283931820744856 absolute error 2.4424906541753444e-14 relative error 1.069423628144383e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.649999999999945 y[1] (analytic) 2.29388639412318 y[1] (numeric) 2.2938863941232044 absolute error 2.4424906541753444e-14 relative error 1.0647827461869432e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.659999999999945 y[1] (analytic) 2.3038534125290364 y[1] (numeric) 2.303853412529061 absolute error 2.4424906541753444e-14 relative error 1.0601762425041271e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.669999999999945 y[1] (analytic) 2.3138308892212645 y[1] (numeric) 2.3138308892212893 absolute error 2.4868995751603507e-14 relative error 1.0747974654264097e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.679999999999945 y[1] (analytic) 2.3238168332755533 y[1] (numeric) 2.323816833275578 absolute error 2.4868995751603507e-14 relative error 1.0701788280167171e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.689999999999944 y[1] (analytic) 2.3338092503807593 y[1] (numeric) 2.333809250380784 absolute error 2.4868995751603507e-14 relative error 1.0655967597842945e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.699999999999944 y[1] (analytic) 2.3438061436366047 y[1] (numeric) 2.34380614363663 absolute error 2.531308496145357e-14 relative error 1.079999087389466e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.709999999999944 y[1] (analytic) 2.3538055143524117 y[1] (numeric) 2.3538055143524375 absolute error 2.5757174171303632e-14 relative error 1.0942779262878074e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.719999999999944 y[1] (analytic) 2.363805362846552 y[1] (numeric) 2.363805362846578 absolute error 2.5757174171303632e-14 relative error 1.0896486900379232e-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 0.007338061490630696 Order of pole (three term test) -0.8984588525652477 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y[1] (analytic) 2.373803689246291 y[1] (numeric) 2.373803689246317 absolute error 2.6201263381153694e-14 relative error 1.1037670680119673e-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 0.016967984008818285 Order of pole (three term test) -0.9228389122152829 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y[1] (analytic) 2.3837984942877117 y[1] (numeric) 2.3837984942877384 absolute error 2.6645352591003757e-14 relative error 1.1177686643755303e-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 0.02657070561002666 Order of pole (three term test) -0.9665100967029668 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y[1] (analytic) 2.3937877801153955 y[1] (numeric) 2.393787780115422 absolute error 2.6645352591003757e-14 relative error 1.1131042113398743e-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 0.036130832747298273 Order of pole (three term test) -1.029402254935535 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y[1] (analytic) 2.4037695510815333 y[1] (numeric) 2.4037695510815604 absolute error 2.708944180085382e-14 relative error 1.126956691362756e-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 0.04563304057319822 Order of pole (three term test) -1.11141436208964 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y[1] (analytic) 2.413741814544162 y[1] (numeric) 2.413741814544189 absolute error 2.708944180085382e-14 relative error 1.1223007215446402e-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 0.05506209765289214 Order of pole (three term test) -1.2124146838638066 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y[1] (analytic) 2.4237025816641915 y[1] (numeric) 2.423702581664219 absolute error 2.7533531010703882e-14 relative error 1.1360111269014897e-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 0.0644028905229415 Order of pole (three term test) -1.3322409906394532 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y[1] (analytic) 2.4336498682009173 y[1] (numeric) 2.433649868200945 absolute error 2.7533531010703882e-14 relative error 1.1313678015259493e-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 0.07364044805529793 Order of pole (three term test) -1.4707008211859132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y[1] (analytic) 2.4435816953056877 y[1] (numeric) 2.4435816953057152 absolute error 2.7533531010703882e-14 relative error 1.1267694083483257e-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 0.08275996558632645 Order of pole (three term test) -1.6275717954607343 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y[1] (analytic) 2.453496090313417 y[1] (numeric) 2.4534960903134446 absolute error 2.7533531010703882e-14 relative error 1.1222162170711536e-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 0.09174682877111276 Order of pole (three term test) -1.8026019759733245 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y[1] (analytic) 2.463391087531627 y[1] (numeric) 2.463391087531655 absolute error 2.7977620220553945e-14 relative error 1.1357360332332836e-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 0.10058663712380017 Order of pole (three term test) -1.9955102770977808 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y[1] (analytic) 2.473264729026696 y[1] (numeric) 2.4732647290267242 absolute error 2.842170943040401e-14 relative error 1.1491575930728938e-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 0.10926522720526957 Order of pole (three term test) -2.2059869216398265 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y[1] (analytic) 2.4831150654070067 y[1] (numeric) 2.4831150654070355 absolute error 2.886579864025407e-14 relative error 1.1624833275908898e-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 0.11776869542010356 Order of pole (three term test) -2.433693943883109 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y[1] (analytic) 2.492940156602678 y[1] (numeric) 2.4929401566027067 absolute error 2.886579864025407e-14 relative error 1.1579017877264942e-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 0.1260834203854788 Order of pole (three term test) -2.6782657382621355 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y[1] (analytic) 2.5027380726415647 y[1] (numeric) 2.5027380726415935 absolute error 2.886579864025407e-14 relative error 1.1533687426502083e-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 0.13419608483539075 Order of pole (three term test) -2.939309652732588 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y[1] (analytic) 2.5125068944212225 y[1] (numeric) 2.512506894421252 absolute error 2.930988785010413e-14 relative error 1.1665594994061067e-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 0.1420936970244497 Order of pole (three term test) -3.2164066258353636 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y[1] (analytic) 2.522244714476524 y[1] (numeric) 2.522244714476553 absolute error 2.930988785010413e-14 relative error 1.1620556753228132e-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 0.14976361159636953 Order of pole (three term test) -3.509111866377865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y[1] (analytic) 2.531949637742616 y[1] (numeric) 2.5319496377426454 absolute error 2.930988785010413e-14 relative error 1.157601534137766e-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 0.15719354988322698 Order of pole (three term test) -3.8169555745857178 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y[1] (analytic) 2.541619782312924 y[1] (numeric) 2.541619782312954 absolute error 2.9753977059954195e-14 relative error 1.170669872299998e-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 0.16437161960257357 Order of pole (three term test) -4.139443703509625 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y[1] (analytic) 2.5512532801918875 y[1] (numeric) 2.5512532801919177 absolute error 3.019806626980426e-14 relative error 1.183656146736359e-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 0.17128633392054646 Order of pole (three term test) -4.476058759406267 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y[1] (analytic) 2.5608482780421347 y[1] (numeric) 2.560848278042165 absolute error 3.019806626980426e-14 relative error 1.179221218560118e-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 0.17792662985024008 Order of pole (three term test) -4.826260639748431 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y[1] (analytic) 2.5704029379257904 y[1] (numeric) 2.5704029379258206 absolute error 3.019806626980426e-14 relative error 1.1748378366767996e-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 0.18428188595577 Order of pole (three term test) -5.1894875074588755 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y[1] (analytic) 2.5799154380396296 y[1] (numeric) 2.5799154380396603 absolute error 3.064215547965432e-14 relative error 1.1877193735829582e-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 0.19034193933366944 Order of pole (three term test) -5.565156699903824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y[1] (analytic) 2.5893839734437725 y[1] (numeric) 2.5893839734438036 absolute error 3.108624468950438e-14 relative error 1.2005266506751787e-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 0.19609710184452966 Order of pole (three term test) -5.952665671126871 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y[1] (analytic) 2.5988067567836373 y[1] (numeric) 2.5988067567836683 absolute error 3.108624468950438e-14 relative error 1.1961737673784438e-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 0.20153817556908682 Order of pole (three term test) -6.351392965750965 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y[1] (analytic) 2.6081820190048575 y[1] (numeric) 2.608182019004889 absolute error 3.1530333899354446e-14 relative error 1.208900823240271e-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 0.20665646746431207 Order of pole (three term test) -6.760699222926838 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y[1] (analytic) 2.617508010060881 y[1] (numeric) 2.6175080100609125 absolute error 3.1530333899354446e-14 relative error 1.2045935973514394e-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 0.21144380319643483 Order of pole (three term test) -7.179928208659123 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y[1] (analytic) 2.626782999612964 y[1] (numeric) 2.626782999612996 absolute error 3.197442310920451e-14 relative error 1.2172464613146838e-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 0.21589254012925033 Order of pole (three term test) -7.608407874798115 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y[1] (analytic) 2.636005277722285 y[1] (numeric) 2.636005277722317 absolute error 3.197442310920451e-14 relative error 1.2129878259133423e-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 0.21999557944750336 Order of pole (three term test) -8.045451442944218 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin(x) * sin(x); Iterations 491 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.40816326530484%