##############ECHO OF PROBLEM################# ##############temp/addpostode.ode################# diff ( y , x , 1 ) = sin ( x ) + sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK max_terms=40 # Digits:=32; ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-5.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(2.0) - c(cos(x)) - c(cos(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -5.0 y[1] (closed_form) 1.4326756290735476 y[1] (numeric) 1.4326756290735476 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27201055544468467 Order of pole (three term test) 32.919535764538224 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.989999999999997 y[1] (closed_form) 1.4518821609091521 y[1] (numeric) 1.4518821609091455 absolute error 6.661338147750939e-15 relative error 4.588070800167201e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26356599922604024 Order of pole (three term test) 32.9248917086176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.979999999999993 y[1] (closed_form) 1.471143504071902 y[1] (numeric) 1.4711435040718892 absolute error 1.2878587085651816e-14 relative error 8.754133808160686e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2550160201218711 Order of pole (three term test) 32.93007770167867 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.96999999999999 y[1] (closed_form) 1.490457732443533 y[1] (numeric) 1.4904577324435135 absolute error 1.9539925233402755e-14 relative error 1.3110016344688955e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2463640380098216 Order of pole (three term test) 32.93509166939336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.959999999999987 y[1] (closed_form) 1.5098229146173026 y[1] (numeric) 1.509822914617276 absolute error 2.6645352591003757e-14 relative error 1.7647998538793935e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2376135135673782 Order of pole (three term test) 32.93993160624143 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.949999999999983 y[1] (closed_form) 1.5292371140911305 y[1] (numeric) 1.5292371140910976 absolute error 3.2862601528904634e-14 relative error 2.1489539605135612e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22876794688764576 Order of pole (three term test) 32.944595576312686 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.93999999999998 y[1] (closed_form) 1.5486983894612485 y[1] (numeric) 1.548698389461209 absolute error 3.952393967665557e-14 relative error 2.5520746935369975e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2198308760793568 Order of pole (three term test) 32.94908171408128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.929999999999977 y[1] (closed_form) 1.5682047946163369 y[1] (numeric) 1.5682047946162907 absolute error 4.618527782440651e-14 relative error 2.9451050005051025e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21080587585167535 Order of pole (three term test) 32.95338822515191 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.919999999999973 y[1] (closed_form) 1.5877543789321353 y[1] (numeric) 1.5877543789320832 absolute error 5.218048215738236e-14 relative error 3.286432892251068e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20169655608436046 Order of pole (three term test) 32.95751338697759 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.90999999999997 y[1] (closed_form) 1.6073451874665041 y[1] (numeric) 1.6073451874664453 absolute error 5.88418203051333e-14 relative error 3.660807943680083e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19250656038386338 Order of pole (three term test) 32.96145554954857 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.899999999999967 y[1] (closed_form) 1.6269752611549149 y[1] (numeric) 1.6269752611548491 absolute error 6.572520305780927e-14 relative error 4.0397174208508845e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18323956462593277 Order of pole (three term test) 32.96521313605239 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.889999999999963 y[1] (closed_form) 1.646642637006357 y[1] (numeric) 1.6466426370062848 absolute error 7.216449660063518e-14 relative error 4.3825232615033145e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17389927548531345 Order of pole (three term test) 32.96878464350454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.87999999999996 y[1] (closed_form) 1.6663453482996355 y[1] (numeric) 1.6663453482995567 absolute error 7.882583474838611e-14 relative error 4.73046207551281e-12% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1644894289531259 Order of pole (three term test) 32.972168643349676 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.869999999999957 y[1] (closed_form) 1.6860814247800393 y[1] (numeric) 1.686081424779954 absolute error 8.526512829121202e-14 relative error 5.056999444871734e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1550137888425201 Order of pole (three term test) 32.975363782032964 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.859999999999953 y[1] (closed_form) 1.705848892856367 y[1] (numeric) 1.7058488928562752 absolute error 9.192646643896296e-14 relative error 5.388898560940895e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14547614528320033 Order of pole (three term test) 32.97836878154154 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.84999999999995 y[1] (closed_form) 1.725645775798284 y[1] (numeric) 1.7256457757981856 absolute error 9.836575998178887e-14 relative error 5.700228943931721e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13588031320542338 Order of pole (three term test) 32.98118243991567 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.839999999999947 y[1] (closed_form) 1.7454700939339935 y[1] (numeric) 1.7454700939338883 absolute error 1.0524914273446484e-13 relative error 6.029845088737735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1262301308140775 Order of pole (three term test) 32.9838036317295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.829999999999943 y[1] (closed_form) 1.7653198648482018 y[1] (numeric) 1.7653198648480903 absolute error 1.1146639167236572e-13 relative error 6.314231992282634e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11652945805345187 Order of pole (three term test) 32.986231308541285 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.81999999999994 y[1] (closed_form) 1.7851931035803594 y[1] (numeric) 1.7851931035802413 absolute error 1.1812772982011666e-13 relative error 6.617084145306256e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10678217506331042 Order of pole (three term test) 32.98846449931264 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.8099999999999365 y[1] (closed_form) 1.805087822823154 y[1] (numeric) 1.8050878228230285 absolute error 1.254552017826427e-13 relative error 6.9500885328909366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09699218062688676 Order of pole (three term test) 32.99050231079705 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.799999999999933 y[1] (closed_form) 1.82500203312124 y[1] (numeric) 1.8250020331211076 absolute error 1.3233858453531866e-13 relative error 7.251421211240209e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08716339061142415 Order of pole (three term test) 32.99234392789708 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.78999999999993 y[1] (closed_form) 1.8449337430701824 y[1] (numeric) 1.8449337430700437 absolute error 1.3877787807814457e-13 relative error 7.522106341185033e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07729973640188015 Order of pole (three term test) 32.993988613990446 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.7799999999999265 y[1] (closed_form) 1.8648809595155966 y[1] (numeric) 1.8648809595154512 absolute error 1.454392162258955e-13 relative error 7.798847185595878e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06740516332842472 Order of pole (three term test) 32.995435711224644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.769999999999923 y[1] (closed_form) 1.8848416877524605 y[1] (numeric) 1.8848416877523084 absolute error 1.5210055437364645e-13 relative error 8.069672660679292e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05748362908836138 Order of pole (three term test) 32.996684640780074 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.75999999999992 y[1] (closed_form) 1.904813931724584 y[1] (numeric) 1.9048139317244255 absolute error 1.5853984791647235e-13 relative error 8.32311467676705e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.047539102163100866 Order of pole (three term test) 32.997734903101566 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.7499999999999165 y[1] (closed_form) 1.9247956942242137 y[1] (numeric) 1.9247956942240485 absolute error 1.652011860642233e-13 relative error 8.582790711759535e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03757556023082136 Order of pole (three term test) 32.99858607809819 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.739999999999913 y[1] (closed_form) 1.944784977091751 y[1] (numeric) 1.9447849770915788 absolute error 1.7208456881689926e-13 relative error 8.848513889398513e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.027596988575450322 Order of pole (three term test) 32.99923782531131 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.72999999999991 y[1] (closed_form) 1.9647797814155665 y[1] (numeric) 1.964779781415388 absolute error 1.7852386235972517e-13 relative error 9.086202130556531e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017607378492604055 Order of pole (three term test) 32.99968988405072 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] -4.719395531910257 y[1] (closed_form) 1.9859870116032434 y[1] (numeric) 1.985987011603059 absolute error 1.8451906669270102e-13 relative error 9.291051029771985e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.0007784707755965339 SETTING H FOR POLE NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.007006322218501029 Order of pole (three term test) 32.99995090903905 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] -4.71001432135229 y[1] (closed_form) 2.0047493136012298 y[1] (numeric) 2.0047493136010273 absolute error 2.0250467969162855e-13 relative error 1.0101246989722593e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.699921998613911 y[1] (closed_form) 2.024933317650393 y[1] (numeric) 2.024933317650155 absolute error 2.3803181647963356e-13 relative error 1.1755044692327495e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.012465700964033112 Order of pole (three term test) 32.99984273107013 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.689829675875533 y[1] (closed_form) 2.045114782138584 y[1] (numeric) 2.0451147821383113 absolute error 2.7267077484793845e-13 relative error 1.3332785877319102e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.679935241818299 y[1] (closed_form) 2.0648960838185806 y[1] (numeric) 2.0648960838182746 absolute error 3.0597746558669314e-13 relative error 1.4818056365376688e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03243096297726661 Order of pole (three term test) 32.998944118575565 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.669842919079921 y[1] (closed_form) 2.0850664531028524 y[1] (numeric) 2.0850664531025123 absolute error 3.4017233474514796e-13 relative error 1.6314699909872267e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.659948485022687 y[1] (closed_form) 2.104832926782124 y[1] (numeric) 2.1048329267817487 absolute error 3.752553823233029e-13 relative error 1.7828274042491092e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05234437197541279 Order of pole (three term test) 32.99725438910928 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.649856162284308 y[1] (closed_form) 2.1249841436642614 y[1] (numeric) 2.1249841436638515 absolute error 4.098943406916078e-13 relative error 1.9289289377227907e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.639961728227075 y[1] (closed_form) 2.144727893483579 y[1] (numeric) 2.144727893483133 absolute error 4.4630965589931293e-13 relative error 2.080961679359676e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0721741910433643 Order of pole (three term test) 32.994765521451754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.629869405488696 y[1] (closed_form) 2.1648519084159306 y[1] (numeric) 2.1648519084154474 absolute error 4.831690603168681e-13 relative error 2.231880427656659e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08214544562952822 Order of pole (three term test) 32.9932067828456 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.619974971431462 y[1] (closed_form) 2.1845650475932743 y[1] (numeric) 2.1845650475927583 absolute error 5.160316618457728e-13 relative error 2.3621711901610922e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09188872931717054 Order of pole (three term test) 32.99148545584866 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.609882648693084 y[1] (closed_form) 2.204653821894202 y[1] (numeric) 2.2046538218936504 absolute error 5.515587986337778e-13 relative error 2.5017932210322597e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.59998821463585 y[1] (closed_form) 2.2243284758751916 y[1] (numeric) 2.2243284758746062 absolute error 5.853095785823825e-13 relative error 2.6313990264054175e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11145645311857677 Order of pole (three term test) 32.98742205436285 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.589895891897472 y[1] (closed_form) 2.2443739849401796 y[1] (numeric) 2.2443739849395588 absolute error 6.208367153703875e-13 relative error 2.7661910160081232e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1212713925880047 Order of pole (three term test) 32.985069427401456 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.580001457840238 y[1] (closed_form) 2.264002294543622 y[1] (numeric) 2.264002294542966 absolute error 6.559197629485425e-13 relative error 2.897169161574383e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13084602346962457 Order of pole (three term test) 32.982578012476075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.5699091351018595 y[1] (closed_form) 2.2839965310507626 y[1] (numeric) 2.283996531050071 absolute error 6.914468997365475e-13 relative error 3.027355297332454e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14055950225712632 Order of pole (three term test) 32.97983484855081 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.560014701044626 y[1] (closed_form) 2.3035706556080573 y[1] (numeric) 2.303570655607331 absolute error 7.260858581048524e-13 relative error 3.152001681985277e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15002665322010814 Order of pole (three term test) 32.97696095345634 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.549922378306247 y[1] (closed_form) 2.323505632716632 y[1] (numeric) 2.32350563271587 absolute error 7.620570841027074e-13 relative error 3.279772914566658e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15962267561702875 Order of pole (three term test) 32.97383809072709 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.539830055567869 y[1] (closed_form) 2.3434076594457016 y[1] (numeric) 2.343407659444906 absolute error 7.958078640513122e-13 relative error 3.395942916050504e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.529935621510635 y[1] (closed_form) 2.3628855077446644 y[1] (numeric) 2.3628855077438344 absolute error 8.30002733209767e-13 relative error 3.512665892991113e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17843094421591324 Order of pole (three term test) 32.967081567337466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.5198432987722565 y[1] (closed_form) 2.3827163009037706 y[1] (numeric) 2.3827163009029064 absolute error 8.641976023682219e-13 relative error 3.626942922413505e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18782187668846081 Order of pole (three term test) 32.96338484593224 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.509948864715023 y[1] (closed_form) 2.402120425562239 y[1] (numeric) 2.4021204255613413 absolute error 8.975042931069765e-13 relative error 3.7363001602923684e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19695429070478673 Order of pole (three term test) 32.959575653743414 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.499856541976644 y[1] (closed_form) 2.4218720635992783 y[1] (numeric) 2.421872063598347 absolute error 9.312550730555813e-13 relative error 3.8451868992270036e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.4899621079194105 y[1] (closed_form) 2.4411947135009315 y[1] (numeric) 2.4411947134999648 absolute error 9.667822098435863e-13 relative error 3.960283071632243e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.479869785181032 y[1] (closed_form) 2.4608593064828783 y[1] (numeric) 2.4608593064818782 absolute error 1.000088900582341e-12 relative error 4.063982438767266e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22422874538740553 Order of pole (three term test) 32.94689794088867 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.469975351123798 y[1] (closed_form) 2.480092763057069 y[1] (numeric) 2.480092763056035 absolute error 1.0338396805309458e-12 relative error 4.1685524667899536e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23302772158136262 Order of pole (three term test) 32.94237618948365 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.45988302838542 y[1] (closed_form) 2.4996624558216682 y[1] (numeric) 2.499662455820602 absolute error 1.0662581928500003e-12 relative error 4.2656087039540255e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.449988594328186 y[1] (closed_form) 2.5187990361266603 y[1] (numeric) 2.5187990361255608 absolute error 1.099564883588755e-12 relative error 4.365433160081066e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25052044697605225 Order of pole (three term test) 32.93271410603364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.439896271589808 y[1] (closed_form) 2.5382660114202276 y[1] (numeric) 2.538266011419093 absolute error 1.13464793116691e-12 relative error 4.470169501785371e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2592026155424588 Order of pole (three term test) 32.927568876246795 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.430001837532574 y[1] (closed_form) 2.557298071212206 y[1] (numeric) 2.557298071211038 absolute error 1.1683987111155147e-12 relative error 4.5688796478920904e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.419909514794195 y[1] (closed_form) 2.5766545528122835 y[1] (numeric) 2.576654552811081 absolute error 1.2025935802739696e-12 relative error 4.667267402847625e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2760825277202286 Order of pole (three term test) 32.9168666299835 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.410015080736962 y[1] (closed_form) 2.5955744895988975 y[1] (numeric) 2.5955744895976625 absolute error 1.2350120925930241e-12 relative error 4.7581454415660964e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2842771064006062 Order of pole (three term test) 32.91132311927706 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.399922757998583 y[1] (closed_form) 2.614812745420524 y[1] (numeric) 2.614812745419256 absolute error 1.2683187833317788e-12 relative error 4.8505147665088464e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.389830435260205 y[1] (closed_form) 2.633988380034861 y[1] (numeric) 2.63398838003356 absolute error 1.3007372956508334e-12 relative error 4.9382803109921774e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30064617334218846 Order of pole (three term test) 32.89951260565457 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.379936001202971 y[1] (closed_form) 2.6527253466821072 y[1] (numeric) 2.652725346680776 absolute error 1.3313794511304877e-12 relative error 5.018911787440448e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.369843678464592 y[1] (closed_form) 2.6717712091047643 y[1] (numeric) 2.6717712091033987 absolute error 1.3655743202889425e-12 relative error 5.111119977771256e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.359949244407359 y[1] (closed_form) 2.690377212137408 y[1] (numeric) 2.6903772121360094 absolute error 1.3984369218178472e-12 relative error 5.1979213751473885e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.34985692166898 y[1] (closed_form) 2.7092856943624763 y[1] (numeric) 2.7092856943610433 absolute error 1.433075880186152e-12 relative error 5.2894970920494596e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3315914618528682 Order of pole (three term test) 32.87422856748337 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.339962487611746 y[1] (closed_form) 2.727753301479586 y[1] (numeric) 2.727753301478121 absolute error 1.4650503032953566e-12 relative error 5.3709047020516296e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33893184473941834 Order of pole (three term test) 32.867592298999945 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.329870164873368 y[1] (closed_form) 2.746516850378656 y[1] (numeric) 2.746516850377159 absolute error 1.497024726404561e-12 relative error 5.4506300450993763e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3462820414625167 Order of pole (three term test) 32.860678401891725 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.319975730816134 y[1] (closed_form) 2.7648386845625392 y[1] (numeric) 2.764838684561009 absolute error 1.5303314171433158e-12 relative error 5.534975424381583e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35335113913024985 Order of pole (three term test) 32.85375683205376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.309883408077756 y[1] (closed_form) 2.7834498049018572 y[1] (numeric) 2.7834498049002954 absolute error 1.5618617510426702e-12 relative error 5.611244536517663e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.299988974020522 y[1] (closed_form) 2.8016185473648587 y[1] (numeric) 2.8016185473632635 absolute error 1.595168441781425e-12 relative error 5.693738868490165e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36720632483992066 Order of pole (three term test) 32.839350064645096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.2898966512821435 y[1] (closed_form) 2.820069804799348 y[1] (numeric) 2.8200698047977233 absolute error 1.6249224188413791e-12 relative error 5.76199360766176e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3739802297785272 Order of pole (three term test) 32.83187059194389 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.28000221722491 y[1] (closed_form) 2.8380781979073966 y[1] (numeric) 2.83807819790574 absolute error 1.6564527527407336e-12 relative error 5.83652964165007e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.269909894486531 y[1] (closed_form) 2.856362221950362 y[1] (numeric) 2.856362221948674 absolute error 1.687983086640088e-12 relative error 5.909555425668355e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.2600154604292975 y[1] (closed_form) 2.874203072122082 y[1] (numeric) 2.874203072120364 absolute error 1.7181811529098923e-12 relative error 5.977939309769523e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.249923137690919 y[1] (closed_form) 2.892312559089401 y[1] (numeric) 2.8923125590876513 absolute error 1.7497114868092467e-12 relative error 6.049524216567092e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3992898792028721 Order of pole (three term test) 32.80094040650366 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.2398308149525405 y[1] (closed_form) 2.9103311603518494 y[1] (numeric) 2.9103311603500686 absolute error 1.780797731498751e-12 relative error 6.11888349944155e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4052826718017992 Order of pole (three term test) 32.79282141202943 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.229936380895307 y[1] (closed_form) 2.927906455597274 y[1] (numeric) 2.9279064555954615 absolute error 1.8123280653981055e-12 relative error 6.18984278658726e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4109971464353404 Order of pole (three term test) 32.78474985326869 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.219844058156928 y[1] (closed_form) 2.945739660435253 y[1] (numeric) 2.9457396604334094 absolute error 1.84341431008761e-12 relative error 6.257899619735008e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4166610031446032 Order of pole (three term test) 32.77639490236781 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.2099496240996945 y[1] (closed_form) 2.9631296932375477 y[1] (numeric) 2.963129693235674 absolute error 1.873612376357414e-12 relative error 6.323085960879036e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4220485922487573 Order of pole (three term test) 32.76809256429639 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.199857301361316 y[1] (closed_form) 2.980770378049889 y[1] (numeric) 2.980770378047984 absolute error 1.9046986210469186e-12 relative error 6.389954204701372e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42737349238653466 Order of pole (three term test) 32.75952056882386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.189962867304082 y[1] (closed_form) 2.997968201836125 y[1] (numeric) 2.9979682018341913 absolute error 1.9335644196871726e-12 relative error 6.449582815798208e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.179870544565704 y[1] (closed_form) 3.015409319925161 y[1] (numeric) 3.015409319923199 absolute error 1.9619861291175766e-12 relative error 6.50653334574913e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43740338304029175 Order of pole (three term test) 32.74223462015193 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.16997611050847 y[1] (closed_form) 3.0324080649016745 y[1] (numeric) 3.0324080648996823 absolute error 1.992184195387381e-12 relative error 6.569644166448875e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44211144862812457 Order of pole (three term test) 32.733531199707315 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.159883787770092 y[1] (closed_form) 3.049642649288092 y[1] (numeric) 3.049642649286072 absolute error 2.020161815607935e-12 relative error 6.624257488265129e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.149989353712858 y[1] (closed_form) 3.066435525184672 y[1] (numeric) 3.0664355251826203 absolute error 2.0516921495072893e-12 relative error 6.690804788350242e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.139897030974479 y[1] (closed_form) 3.0834566913905226 y[1] (numeric) 3.083456691388443 absolute error 2.0796697697278432e-12 relative error 6.744605090561498e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4553517338925244 Order of pole (three term test) 32.70652862882552 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.130002596917246 y[1] (closed_form) 3.1000369901728337 y[1] (numeric) 3.100036990170727 absolute error 2.106759211528697e-12 relative error 6.795916365537434e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45934975637593545 Order of pole (three term test) 32.697479199450264 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.119910274178867 y[1] (closed_form) 3.116837938971587 y[1] (numeric) 3.1168379389694527 absolute error 2.134292742539401e-12 relative error 6.847621802382254e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.110015840121633 y[1] (closed_form) 3.1331990375207432 y[1] (numeric) 3.13319903751858 absolute error 2.163158541179655e-12 relative error 6.90399337953114e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46687440109208134 Order of pole (three term test) 32.67896223917358 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.099923517383255 y[1] (closed_form) 3.1497730576532845 y[1] (numeric) 3.1497730576510934 absolute error 2.191136161400209e-12 relative error 6.956488995536392e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4703909028662943 Order of pole (three term test) 32.66950751752878 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.089831194644876 y[1] (closed_form) 3.1662299686700575 y[1] (numeric) 3.1662299686678366 absolute error 2.220890138460163e-12 relative error 7.014304584429871e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.079936760587643 y[1] (closed_form) 3.182248891266995 y[1] (numeric) 3.182248891264745 absolute error 2.2497559371004172e-12 relative error 7.069704520203915e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47678905873274996 Order of pole (three term test) 32.65057380286739 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.069844437849264 y[1] (closed_form) 3.1984689452094717 y[1] (numeric) 3.1984689452071935 absolute error 2.2781776465308212e-12 relative error 7.122713040384454e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.05995000379203 y[1] (closed_form) 3.2142524671088006 y[1] (numeric) 3.2142524671064963 absolute error 2.304378909911975e-12 relative error 7.169252986479773e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4824257125343712 Order of pole (three term test) 32.63139624258204 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.049857681053652 y[1] (closed_form) 3.2302291847604705 y[1] (numeric) 3.23022918475814 absolute error 2.3305801732931286e-12 relative error 7.214906559225911e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4849796483099745 Order of pole (three term test) 32.621634558482675 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.039963246996418 y[1] (closed_form) 3.2457710011215264 y[1] (numeric) 3.245771001119168 absolute error 2.3585577935136826e-12 relative error 7.26655636734298e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.02987092425804 y[1] (closed_form) 3.2614980004683014 y[1] (numeric) 3.2614980004659153 absolute error 2.3860913245243864e-12 relative error 7.315936800150668e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4894526446425485 Order of pole (three term test) 32.60215631259004 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -4.019976490200806 y[1] (closed_form) 3.276791903001426 y[1] (numeric) 3.2767919029990122 absolute error 2.4136248555350903e-12 relative error 7.365816710314424e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -4.0098841674624275 y[1] (closed_form) 3.2922629017809797 y[1] (numeric) 3.2922629017785376 absolute error 2.4420465649654943e-12 relative error 7.417532067820122e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.999989733405194 y[1] (closed_form) 3.3073027812274622 y[1] (numeric) 3.307302781224996 absolute error 2.4660273822973977e-12 relative error 7.45630970437537e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.9898974106668383 y[1] (closed_form) 3.3225115994386902 y[1] (numeric) 3.3225115994362335 absolute error 2.4567015088905464e-12 relative error 7.39410965278672e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4960477504698601 Order of pole (three term test) 32.562742958185744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.9800029766096268 y[1] (closed_form) 3.3372914480111318 y[1] (numeric) 3.3372914480086813 absolute error 2.4504842599526455e-12 relative error 7.34273376517061e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49719258782775616 Order of pole (three term test) 32.55291286928096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.969910653871271 y[1] (closed_form) 3.3522320103829024 y[1] (numeric) 3.3522320103804586 absolute error 2.4438229218048946e-12 relative error 7.290136584328342e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4981590091505536 Order of pole (three term test) 32.5428685337431 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.9600162198140594 y[1] (closed_form) 3.3667459241651567 y[1] (numeric) 3.3667459241627187 absolute error 2.4380497620768438e-12 relative error 7.241561486946481e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4989094838038407 Order of pole (three term test) 32.533002398943 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.9499238970757036 y[1] (closed_form) 3.381412262583015 y[1] (numeric) 3.3814122625805845 absolute error 2.4305002455093927e-12 relative error 7.187825845443544e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49947460209498035 Order of pole (three term test) 32.52292044026318 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.9398315743373478 y[1] (closed_form) 3.3959378984791844 y[1] (numeric) 3.39593789847676 absolute error 2.424282996571492e-12 relative error 7.138773054881739e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4998346407705586 Order of pole (three term test) 32.512840151871586 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.929937140280136 y[1] (closed_form) 3.4100406997786683 y[1] (numeric) 3.4100406997762525 absolute error 2.4158453015843406e-12 relative error 7.084505770682277e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999916010327185 Order of pole (three term test) 32.502944184778514 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.9198448175417804 y[1] (closed_form) 3.424283337223092 y[1] (numeric) 3.4242833372206825 absolute error 2.4096280526464398e-12 relative error 7.036882802462595e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.909950383484569 y[1] (closed_form) 3.4381058861359497 y[1] (numeric) 3.438105886133548 absolute error 2.4016344468691386e-12 relative error 6.985341715488321e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4997097734121315 Order of pole (three term test) 32.48296270143355 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.899858060746213 y[1] (closed_form) 3.452059835805276 y[1] (numeric) 3.45205983580288 absolute error 2.395861287141088e-12 relative error 6.940381688320868e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.8899636266890014 y[1] (closed_form) 3.4655966108155223 y[1] (numeric) 3.4655966108131335 absolute error 2.388755859783487e-12 relative error 6.892769494085366e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4986299279884819 Order of pole (three term test) 32.46300435706093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.8798713039506456 y[1] (closed_form) 3.4792562987047937 y[1] (numeric) 3.4792562987024116 absolute error 2.382094521635736e-12 relative error 6.846562360244938e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49778128736189103 Order of pole (three term test) 32.45294979209105 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.869976869893434 y[1] (closed_form) 3.492501892450872 y[1] (numeric) 3.492501892448495 absolute error 2.377209540327385e-12 relative error 6.80660916881901e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4967530681263913 Order of pole (three term test) 32.44310934296209 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.8598845471550782 y[1] (closed_form) 3.5058618621001045 y[1] (numeric) 3.5058618620977335 absolute error 2.3709922913894843e-12 relative error 6.762937002797928e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.8499901130978667 y[1] (closed_form) 3.5188109835348946 y[1] (numeric) 3.518810983532532 absolute error 2.362554596402333e-12 relative error 6.714070768384893e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4940826225229513 Order of pole (three term test) 32.423303330543185 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.839897790359511 y[1] (closed_form) 3.5318658982086966 y[1] (numeric) 3.5318658982063393 absolute error 2.3572255258841324e-12 relative error 6.674164857390757e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.8300033563022993 y[1] (closed_form) 3.544513374713066 y[1] (numeric) 3.544513374710716 absolute error 2.3501200985265314e-12 relative error 6.630303937608296e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.490623359215003 Order of pole (three term test) 32.40361719745331 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.8199110335639435 y[1] (closed_form) 3.557258019532436 y[1] (numeric) 3.5572580195300927 absolute error 2.3434587603787804e-12 relative error 6.587823395185721e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.810016599506732 y[1] (closed_form) 3.569598798981473 y[1] (numeric) 3.569598798979135 absolute error 2.3381296898605797e-12 relative error 6.550118995243182e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.799924276768376 y[1] (closed_form) 3.5820280830069233 y[1] (numeric) 3.582028083004592 absolute error 2.3314683517128287e-12 relative error 6.508794173818102e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48394106021311645 Order of pole (three term test) 32.374295864156196 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.7898319540300203 y[1] (closed_form) 3.5942962309640967 y[1] (numeric) 3.5942962309617723 absolute error 2.3243629243552277e-12 relative error 6.466809564362938e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.7799375199728087 y[1] (closed_form) 3.6061661940532144 y[1] (numeric) 3.606166194050898 absolute error 2.3163693185779266e-12 relative error 6.423357088749153e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.769845197234453 y[1] (closed_form) 3.6181115576841947 y[1] (numeric) 3.618111557681883 absolute error 2.311484337269576e-12 relative error 6.388648609688151e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.7599507631772413 y[1] (closed_form) 3.6296627105302797 y[1] (numeric) 3.629662710527973 absolute error 2.3065993559612252e-12 relative error 6.354858673973704e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47235590991108584 Order of pole (three term test) 32.33604930450082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.7498584404388855 y[1] (closed_form) 3.641280518174165 y[1] (numeric) 3.641280518171864 absolute error 2.3008261962331744e-12 relative error 6.318728218684096e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4689507780095497 Order of pole (three term test) 32.3265494906416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.739964006381674 y[1] (closed_form) 3.6525082465866294 y[1] (numeric) 3.652508246584335 absolute error 2.2946089472952735e-12 relative error 6.28228272842272e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4654269080379217 Order of pole (three term test) 32.31730390255047 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.729871683643318 y[1] (closed_form) 3.6637938574270947 y[1] (numeric) 3.6637938574248063 absolute error 2.2883916983573727e-12 relative error 6.245961938383727e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.7199772495861065 y[1] (closed_form) 3.6746936764095546 y[1] (numeric) 3.67469367640727 absolute error 2.284394895468722e-12 relative error 6.216558702930426e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.7098849268477507 y[1] (closed_form) 3.6856425823286667 y[1] (numeric) 3.6856425823263868 absolute error 2.2799540033702215e-12 relative error 6.186042060350025e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.699990492790539 y[1] (closed_form) 3.6962101378705015 y[1] (numeric) 3.696210137868229 absolute error 2.2724044868027704e-12 relative error 6.147930994291281e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44934962402336115 Order of pole (three term test) 32.28071789666061 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.6898981700521833 y[1] (closed_form) 3.7068179652495132 y[1] (numeric) 3.7068179652472444 absolute error 2.26885177312397e-12 relative error 6.12075314837115e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.6800037359949718 y[1] (closed_form) 3.717049036065113 y[1] (numeric) 3.717049036062847 absolute error 2.2657431486550195e-12 relative error 6.095542799331877e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4402278816347005 Order of pole (three term test) 32.26293629346753 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.669911413256616 y[1] (closed_form) 3.7273115475315386 y[1] (numeric) 3.7273115475292786 absolute error 2.2599699889269687e-12 relative error 6.063270966505774e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43535320861058246 Order of pole (three term test) 32.254097343786675 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.6600169791994044 y[1] (closed_form) 3.7372020467465186 y[1] (numeric) 3.737202046744264 absolute error 2.254640918408768e-12 relative error 6.032965010204845e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43040211511950294 Order of pole (three term test) 32.24553327640022 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.6499246564610486 y[1] (closed_form) 3.7471151428667824 y[1] (numeric) 3.7471151428645344 absolute error 2.247979580261017e-12 relative error 5.999227391078164e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4251785568845005 Order of pole (three term test) 32.2368953682971 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.6398323337226928 y[1] (closed_form) 3.7568502881226014 y[1] (numeric) 3.756850288120357 absolute error 2.2444268665822165e-12 relative error 5.974224934323419e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41978206757024156 Order of pole (three term test) 32.228366876810405 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.629937899665481 y[1] (closed_form) 3.7662208405675086 y[1] (numeric) 3.7662208405652695 absolute error 2.2390977960640157e-12 relative error 5.945211103782804e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4143244617731819 Order of pole (three term test) 32.220117970688406 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.6198455769271254 y[1] (closed_form) 3.7756006646261415 y[1] (numeric) 3.7756006646239073 absolute error 2.234212814755665e-12 relative error 5.917502970290678e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4085910695817366 Order of pole (three term test) 32.21181306356808 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.609951142869914 y[1] (closed_form) 3.784621008726175 y[1] (numeric) 3.784621008723946 absolute error 2.2288837442374643e-12 relative error 5.889318214686074e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4028086274728579 Order of pole (three term test) 32.203783030064116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.599858820131558 y[1] (closed_form) 3.793641764749844 y[1] (numeric) 3.7936417647476204 absolute error 2.2235546737192635e-12 relative error 5.861266855453566e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.5899643860743464 y[1] (closed_form) 3.802308297264063 y[1] (numeric) 3.8023082972618427 absolute error 2.220446049250313e-12 relative error 5.839731751494288e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.5798720633359906 y[1] (closed_form) 3.8109663818472823 y[1] (numeric) 3.8109663818450645 absolute error 2.2177815139912127e-12 relative error 5.819472784003389e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38427085527786925 Order of pole (three term test) 32.18010441528044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.569977629278779 y[1] (closed_form) 3.819275640867314 y[1] (numeric) 3.8192756408651016 absolute error 2.212452443473012e-12 relative error 5.7928587813855436e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37786534438841457 Order of pole (three term test) 32.172559870110526 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.5598853065404232 y[1] (closed_form) 3.827567595476296 y[1] (numeric) 3.827567595474089 absolute error 2.2071233729548112e-12 relative error 5.766386400499768e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.5499908724832117 y[1] (closed_form) 3.8355162618092207 y[1] (numeric) 3.8355162618070193 absolute error 2.2013502132267604e-12 relative error 5.7393843826081946e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.364478389617955 Order of pole (three term test) 32.157720074065 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.539898549744856 y[1] (closed_form) 3.843438774163416 y[1] (numeric) 3.8434387741612177 absolute error 2.19824158875781e-12 relative error 5.71946560859758e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.5300041156876443 y[1] (closed_form) 3.8510236726576377 y[1] (numeric) 3.851023672655444 absolute error 2.1938006966593093e-12 relative error 5.696668946065816e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.5199117929492885 y[1] (closed_form) 3.8585735780528454 y[1] (numeric) 3.858573578050655 absolute error 2.190247982980509e-12 relative error 5.676315194398276e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3432403026707146 Order of pole (three term test) 32.13642913282683 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.510017358892077 y[1] (closed_form) 3.865791678866435 y[1] (numeric) 3.865791678864248 absolute error 2.1866952693017083e-12 relative error 5.656526401192194e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3359790583775005 Order of pole (three term test) 32.12970597230299 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.499925036153721 y[1] (closed_form) 3.8729659614389673 y[1] (numeric) 3.8729659614367837 absolute error 2.183586644832758e-12 relative error 5.638021781171206e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.4898327134153653 y[1] (closed_form) 3.8799494747234666 y[1] (numeric) 3.8799494747212866 absolute error 2.1800339311539574e-12 relative error 5.618717319274715e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32076053242602004 Order of pole (three term test) 32.11645029593992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.4799382793581537 y[1] (closed_form) 3.8866101751813424 y[1] (numeric) 3.886610175179167 absolute error 2.1755930390554568e-12 relative error 5.5976620782503545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31310854462320886 Order of pole (three term test) 32.110177259035 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.469845956619798 y[1] (closed_form) 3.8932138101054043 y[1] (numeric) 3.8932138101032314 absolute error 2.1729285037963564e-12 relative error 5.581323322536778e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3051766968389772 Order of pole (three term test) 32.1039370869916 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.4599515225625863 y[1] (closed_form) 3.8995007690012446 y[1] (numeric) 3.8995007689990744 absolute error 2.170263968537256e-12 relative error 5.565491833697247e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29727984544674474 Order of pole (three term test) 32.09797429331584 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.4498591998242305 y[1] (closed_form) 3.9057218876956874 y[1] (numeric) 3.9057218876935194 absolute error 2.1680435224880057e-12 relative error 5.550941886871306e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.439964765767019 y[1] (closed_form) 3.9116325936588137 y[1] (numeric) 3.9116325936566483 absolute error 2.1653789872289053e-12 relative error 5.5357422645961756e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2809764411206784 Order of pole (three term test) 32.08640944962706 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.429872443028663 y[1] (closed_form) 3.9174687110532966 y[1] (numeric) 3.917468711051135 absolute error 2.161826273550105e-12 relative error 5.518426394703356e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2725712510815583 Order of pole (three term test) 32.08083340454467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.4199780089714515 y[1] (closed_form) 3.9230008030099546 y[1] (numeric) 3.9230008030077954 absolute error 2.1591617382910044e-12 relative error 5.503852399505934e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26422394333454335 Order of pole (three term test) 32.075516133996075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.4098856862330957 y[1] (closed_form) 3.9284495878256616 y[1] (numeric) 3.928449587823507 absolute error 2.154720846192504e-12 relative error 5.484914081295644e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2556021984299813 Order of pole (three term test) 32.07027566367723 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.399991252175884 y[1] (closed_form) 3.933600855942168 y[1] (numeric) 3.933600855940016 absolute error 2.1520563109334034e-12 relative error 5.4709575011467384e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24704913185918928 Order of pole (three term test) 32.065296705733665 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.3898989294375284 y[1] (closed_form) 3.938660131623049 y[1] (numeric) 3.9386601316209 absolute error 2.148947686464453e-12 relative error 5.4560373696902644e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.3800044953803168 y[1] (closed_form) 3.9434285181885267 y[1] (numeric) 3.943428518186379 absolute error 2.147615418834903e-12 relative error 5.446061489207473e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2294797029110565 Order of pole (three term test) 32.05577133006472 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.369912172641961 y[1] (closed_form) 3.94809626377074 y[1] (numeric) 3.948096263768594 absolute error 2.1458390619955026e-12 relative error 5.435123458580665e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22046719697304185 Order of pole (three term test) 32.05122470474729 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.3600177385847494 y[1] (closed_form) 3.952479864019085 y[1] (numeric) 3.9524798640169405 absolute error 2.1445067943659524e-12 relative error 5.4257247807590535e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2115437012571318 Order of pole (three term test) 32.04695543064477 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.3499254158463936 y[1] (closed_form) 3.956754214938287 y[1] (numeric) 3.9567542149361445 absolute error 2.142286348316702e-12 relative error 5.414251762792689e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.3398330931080378 y[1] (closed_form) 3.9608292623911545 y[1] (numeric) 3.9608292623890144 absolute error 2.1400659022674517e-12 relative error 5.403075367544353e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.329938659050826 y[1] (closed_form) 3.9646305266451964 y[1] (numeric) 3.964630526643059 absolute error 2.1374013670083514e-12 relative error 5.391174165268269e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.3198463363124704 y[1] (closed_form) 3.9683096697802718 y[1] (numeric) 3.9683096697781366 absolute error 2.135180920959101e-12 relative error 5.380580394768757e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.309951902255259 y[1] (closed_form) 3.9717220526424484 y[1] (numeric) 3.9717220526403145 absolute error 2.133848653329551e-12 relative error 5.372603180803823e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.299859579516903 y[1] (closed_form) 3.9750038217997012 y[1] (numeric) 3.9750038217975687 absolute error 2.1325163857000007e-12 relative error 5.3648159380498255e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1556372849306392 Order of pole (three term test) 32.024835507432314 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.2899651454596914 y[1] (closed_form) 3.9780259601692816 y[1] (numeric) 3.978025960167151 absolute error 2.1307400288606004e-12 relative error 5.35627482121793e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.2798728227213356 y[1] (closed_form) 3.9809090444225603 y[1] (numeric) 3.9809090444204327 absolute error 2.12763140439165e-12 relative error 5.344586828409358e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.269978388664124 y[1] (closed_form) 3.9835397310847664 y[1] (numeric) 3.9835397310826384 absolute error 2.1280754936015e-12 relative error 5.342172131472627e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.2598860659257682 y[1] (closed_form) 3.9860229787654546 y[1] (numeric) 3.986022978763328 absolute error 2.12674322597195e-12 relative error 5.335501669964386e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.2499916318685567 y[1] (closed_form) 3.988261162873693 y[1] (numeric) 3.988261162871567 absolute error 2.1258550475522497e-12 relative error 5.33028044236825e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10755184994175047 Order of pole (three term test) 32.011701918054285 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.239899309130201 y[1] (closed_form) 3.990343582030749 y[1] (numeric) 3.990343582028624 absolute error 2.1249668691325496e-12 relative error 5.3252729381541635e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0976746031776609 Order of pole (three term test) 32.009632075119136 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.2300048750729893 y[1] (closed_form) 3.9921883695263745 y[1] (numeric) 3.9921883695242517 absolute error 2.1227464230832993e-12 relative error 5.317250156046965e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08795223595011602 Order of pole (three term test) 32.0077962402547 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.2199125523346335 y[1] (closed_form) 3.9938691283225802 y[1] (numeric) 3.993869128320458 absolute error 2.1223023338734492e-12 relative error 5.31390054527103e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.210018118277422 y[1] (closed_form) 3.9953197822920394 y[1] (numeric) 3.995319782289919 absolute error 2.120525977034049e-12 relative error 5.3075250357495625e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.199925795539066 y[1] (closed_form) 3.996598209336277 y[1] (numeric) 3.996598209334157 absolute error 2.119637798614349e-12 relative error 5.30360493497384e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05820089552997852 Order of pole (three term test) 32.00339456872087 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.1898334728007103 y[1] (closed_form) 3.9976732746394434 y[1] (numeric) 3.9976732746373242 absolute error 2.119193709404499e-12 relative error 5.301067805736656e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.1799390387434987 y[1] (closed_form) 3.9985297349209166 y[1] (numeric) 3.9985297349187983 absolute error 2.1183055309847987e-12 relative error 5.297711087364703e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03830880426574612 Order of pole (three term test) 32.001472360492535 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.169846716005143 y[1] (closed_form) 3.9992017610614656 y[1] (numeric) 3.9992017610593495 absolute error 2.1160850849355484e-12 relative error 5.291268636503847e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.028239010149029974 Order of pole (three term test) 32.00079844090582 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.1599522819479313 y[1] (closed_form) 3.999662933514795 y[1] (numeric) 3.9996629335126785 absolute error 2.1165291741453984e-12 relative error 5.291768854845601e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.018355493733762662 Order of pole (three term test) 32.000338346919094 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.1498599592095755 y[1] (closed_form) 3.9999316520470796 y[1] (numeric) 3.9999316520449644 absolute error 2.1151969065158482e-12 relative error 5.2880826236951717e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.139965525152364 y[1] (closed_form) 3.999997352453632 y[1] (numeric) 3.9999973524515164 absolute error 2.1156409957256983e-12 relative error 5.289105990102584e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.129873202414008 y[1] (closed_form) 3.9998626560361146 y[1] (numeric) 3.9998626560339976 absolute error 2.1169732633552485e-12 relative error 5.292614885565047e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.1199787683567966 y[1] (closed_form) 3.999532858151393 y[1] (numeric) 3.9995328581492764 absolute error 2.1165291741453984e-12 relative error 5.2919409571338546e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.1098864456184407 y[1] (closed_form) 3.998994800589519 y[1] (numeric) 3.998994800587402 absolute error 2.1169732633552485e-12 relative error 5.293763480370545e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.099992011561229 y[1] (closed_form) 3.9982696361536476 y[1] (numeric) 3.9982696361515297 absolute error 2.1178614417749486e-12 relative error 5.296945014974879e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.041552651450939296 Order of pole (three term test) 32.00172910662824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.0898996888228734 y[1] (closed_form) 3.9973284323783567 y[1] (numeric) 3.9973284323762392 absolute error 2.1174173525650986e-12 relative error 5.297081259108008e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.080005254765662 y[1] (closed_form) 3.9962081910634524 y[1] (numeric) 3.996208191061335 absolute error 2.1174173525650986e-12 relative error 5.29856616905042e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06143172428375027 Order of pole (three term test) 32.003794092776545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.069912932027306 y[1] (closed_form) 3.994864217045323 y[1] (numeric) 3.9948642170432054 absolute error 2.1174173525650986e-12 relative error 5.300348741592976e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07143451014652805 Order of pole (three term test) 32.00512621988229 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.0600184979700944 y[1] (closed_form) 3.993349346339788 y[1] (numeric) 3.9933493463376686 absolute error 2.119637798614349e-12 relative error 5.307919780565054e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.0499261752317386 y[1] (closed_form) 3.9916031389388493 y[1] (numeric) 3.9916031389367275 absolute error 2.121858244663599e-12 relative error 5.31580462988534e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.039833852493383 y[1] (closed_form) 3.9896540785653087 y[1] (numeric) 3.989654078563185 absolute error 2.1236346015029994e-12 relative error 5.322853960979656e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1010578227969204 Order of pole (three term test) 32.01031608776473 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -3.029939418436171 y[1] (closed_form) 3.987546500719901 y[1] (numeric) 3.9875465007177757 absolute error 2.1254109583423997e-12 relative error 5.3301220636767086e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.0198470956978154 y[1] (closed_form) 3.9851963176838723 y[1] (numeric) 3.985196317681745 absolute error 2.1271873151818e-12 relative error 5.337722776021445e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -3.009952661640604 y[1] (closed_form) 3.982695922841616 y[1] (numeric) 3.9826959228394885 absolute error 2.12763140439165e-12 relative error 5.3421889233100304e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13012445646566506 Order of pole (three term test) 32.01722488827259 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.999860338902248 y[1] (closed_form) 3.979945555940515 y[1] (numeric) 3.979945555938386 absolute error 2.1289636720212e-12 relative error 5.349228129122227e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.9899659048450364 y[1] (closed_form) 3.977053342902006 y[1] (numeric) 3.9770533428998744 absolute error 2.1316282072803006e-12 relative error 5.359817994608235e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.9798735821066806 y[1] (closed_form) 3.973903890789554 y[1] (numeric) 3.9739038907874225 absolute error 2.1316282072803006e-12 relative error 5.364065830129522e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15891401966002877 Order of pole (three term test) 32.025929040074885 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.969979148049469 y[1] (closed_form) 3.9706210148699688 y[1] (numeric) 3.970621014867837 absolute error 2.1316282072803006e-12 relative error 5.368500794453453e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16826386990881112 Order of pole (three term test) 32.029160822386615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.9598868253111132 y[1] (closed_form) 3.96707373561733 y[1] (numeric) 3.967073735615197 absolute error 2.1329604749098507e-12 relative error 5.376659515449953e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.9499923912539017 y[1] (closed_form) 3.9634015081849245 y[1] (numeric) 3.9634015081827902 absolute error 2.134292742539401e-12 relative error 5.385002599741199e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1869455524918584 Order of pole (three term test) 32.03626281651783 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.939900068515546 y[1] (closed_form) 3.959457818778156 y[1] (numeric) 3.9594578187760203 absolute error 2.135625010168951e-12 relative error 5.393730929625059e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19626703862513448 Order of pole (three term test) 32.04013301799466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.9300056344583343 y[1] (closed_form) 3.955397706730431 y[1] (numeric) 3.955397706728293 absolute error 2.1382895454280515e-12 relative error 5.406003906483481e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20532825491541515 Order of pole (three term test) 32.04410495003196 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.9199133117199785 y[1] (closed_form) 3.951059182504462 y[1] (numeric) 3.9510591825023207 absolute error 2.141398169897002e-12 relative error 5.419807881844057e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21448791682161084 Order of pole (three term test) 32.048343732378555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.910018877662767 y[1] (closed_form) 3.946612807682204 y[1] (numeric) 3.946612807680061 absolute error 2.142730437526552e-12 relative error 5.429289727524476e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2233831628202365 Order of pole (three term test) 32.05267159873356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.899926554924411 y[1] (closed_form) 3.941881181691553 y[1] (numeric) 3.9418811816894075 absolute error 2.1453949727856525e-12 relative error 5.442566312627956e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23236632694765147 Order of pole (three term test) 32.057271565006786 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.8898342321860553 y[1] (closed_form) 3.936951767114188 y[1] (numeric) 3.9369517671120415 absolute error 2.1462831512053526e-12 relative error 5.451636896173083e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.8799397981288437 y[1] (closed_form) 3.9319274825574695 y[1] (numeric) 3.9319274825553205 absolute error 2.148947686464453e-12 relative error 5.465379755851191e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24987291760753613 Order of pole (three term test) 32.0669164984114 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.869847475390488 y[1] (closed_form) 3.9266078701224565 y[1] (numeric) 3.926607870120305 absolute error 2.1516122217235534e-12 relative error 5.4795698803925954e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2585633808655696 Order of pole (three term test) 32.0720453229745 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.8599530413332763 y[1] (closed_form) 3.9212020611784926 y[1] (numeric) 3.921202061176338 absolute error 2.154720846192504e-12 relative error 5.4950518044584424e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2669810192556757 Order of pole (three term test) 32.07724007426846 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.8498607185949205 y[1] (closed_form) 3.9154943758430516 y[1] (numeric) 3.9154943758408933 absolute error 2.1582735598713043e-12 relative error 5.5121355126620575e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.839966284537709 y[1] (closed_form) 3.9097092019008732 y[1] (numeric) 3.909709201898712 absolute error 2.1613821843402548e-12 relative error 5.528242825040302e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.829873961799353 y[1] (closed_form) 3.9036157236407156 y[1] (numeric) 3.90361572363855 absolute error 2.1658230764387554e-12 relative error 5.548248674484782e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.8199795277421416 y[1] (closed_form) 3.8974534956294145 y[1] (numeric) 3.8974534956272446 absolute error 2.169819879327406e-12 relative error 5.5672758681037026e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.8098872050037857 y[1] (closed_form) 3.890976658527997 y[1] (numeric) 3.8909766585258225 absolute error 2.1742607714259066e-12 relative error 5.587956346796631e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.799992770946574 y[1] (closed_form) 3.8844398379936074 y[1] (numeric) 3.884439837991431 absolute error 2.176481217475157e-12 relative error 5.6030761403151344e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31563880747421036 Order of pole (three term test) 32.11222426853737 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.7899004482082184 y[1] (closed_form) 3.877582229269814 y[1] (numeric) 3.877582229267633 absolute error 2.1809221095736575e-12 relative error 5.624438066357515e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.780006014151007 y[1] (closed_form) 3.870673427392033 y[1] (numeric) 3.870673427389848 absolute error 2.184918912462308e-12 relative error 5.644803038665171e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33088381358232094 Order of pole (three term test) 32.12514149182041 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.769913691412651 y[1] (closed_form) 3.8634377863666964 y[1] (numeric) 3.8634377863645057 absolute error 2.190692072190359e-12 relative error 5.670317974113303e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.7600192573554394 y[1] (closed_form) 3.8561597629158273 y[1] (numeric) 3.8561597629136335 absolute error 2.1938006966593093e-12 relative error 5.689081447705557e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.7499269346170836 y[1] (closed_form) 3.848548979917485 y[1] (numeric) 3.8485489799152868 absolute error 2.19824158875781e-12 relative error 5.711871149954655e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35282217672909333 Order of pole (three term test) 32.14571540102686 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.739834611878728 y[1] (closed_form) 3.8407499146011217 y[1] (numeric) 3.84074991459892 absolute error 2.2017943024366105e-12 relative error 5.732719784920639e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.729940177821516 y[1] (closed_form) 3.83292175736236 y[1] (numeric) 3.832921757360154 absolute error 2.206235194535111e-12 relative error 5.7560141693404676e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3666979611191599 Order of pole (three term test) 32.16010256279066 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.7198478550831604 y[1] (closed_form) 3.8247521819515757 y[1] (numeric) 3.8247521819493637 absolute error 2.212008354263162e-12 relative error 5.783403078247247e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3734839198005393 Order of pole (three term test) 32.16756832228715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.709953421025949 y[1] (closed_form) 3.8165623611070973 y[1] (numeric) 3.816562361104881 absolute error 2.2164492463616625e-12 relative error 5.807449313414917e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.699861098287593 y[1] (closed_form) 3.808025538997195 y[1] (numeric) 3.8080255389949746 absolute error 2.220446049250313e-12 relative error 5.830964174245126e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3864701136240086 Order of pole (three term test) 32.18276159685888 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.6899666642303814 y[1] (closed_form) 3.7994773260294874 y[1] (numeric) 3.7994773260272603 absolute error 2.227107387398064e-12 relative error 5.861615154643982e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39267203825117625 Order of pole (three term test) 32.19047146445579 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.6798743414920256 y[1] (closed_form) 3.790576667315092 y[1] (numeric) 3.790576667312861 absolute error 2.2306601010768645e-12 relative error 5.88475131056211e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39883977101481816 Order of pole (three term test) 32.198453156444366 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.669979907434814 y[1] (closed_form) 3.7816734768689386 y[1] (numeric) 3.7816734768667013 absolute error 2.2373214392246155e-12 relative error 5.916220564544933e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4047284189658265 Order of pole (three term test) 32.20640719555819 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.6598875846964583 y[1] (closed_form) 3.7724125369818093 y[1] (numeric) 3.772412536979567 absolute error 2.242206420532966e-12 relative error 5.943693587464551e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.6499931506392467 y[1] (closed_form) 3.763157925500286 y[1] (numeric) 3.7631579254980396 absolute error 2.2462032234216167e-12 relative error 5.968931593863415e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41613761540773775 Order of pole (three term test) 32.22281842880657 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.639900827900891 y[1] (closed_form) 3.753540403789068 y[1] (numeric) 3.753540403786817 absolute error 2.2510882047299674e-12 relative error 5.997239839106494e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.421647063827551 Order of pole (three term test) 32.23127831326072 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.6300063938436793 y[1] (closed_form) 3.743938068092895 y[1] (numeric) 3.7439380680906402 absolute error 2.254640918408768e-12 relative error 6.022110615620434e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42688202632897393 Order of pole (three term test) 32.239669546303475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.6199140711053235 y[1] (closed_form) 3.7339678063453956 y[1] (numeric) 3.733967806343134 absolute error 2.261746345766369e-12 relative error 6.057219727290694e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4320497243597212 Order of pole (three term test) 32.24833800593383 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.610019637048112 y[1] (closed_form) 3.724021582156218 y[1] (numeric) 3.7240215821539513 absolute error 2.2666313270747196e-12 relative error 6.086515013595421e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.436944296349698 Order of pole (three term test) 32.256942873920956 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.599927314309756 y[1] (closed_form) 3.713702563064773 y[1] (numeric) 3.7137025630625002 absolute error 2.2728485760126205e-12 relative error 6.120168584898538e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.5898349915714003 y[1] (closed_form) 3.703208996317583 y[1] (numeric) 3.703208996315306 absolute error 2.277289468111121e-12 relative error 6.149502959124437e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4463981747284496 Order of pole (three term test) 32.274767940162405 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.5799405575141887 y[1] (closed_form) 3.6927527690435102 y[1] (numeric) 3.6927527690412276 absolute error 2.282618538629322e-12 relative error 6.181346765926497e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4507671366614 Order of pole (three term test) 32.28365235877716 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.569848234775833 y[1] (closed_form) 3.681916700781027 y[1] (numeric) 3.681916700778739 absolute error 2.2883916983573727e-12 relative error 6.215218551446173e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.5599538007186213 y[1] (closed_form) 3.6711267928266054 y[1] (numeric) 3.671126792824314 absolute error 2.291500322826323e-12 relative error 6.241953634791156e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45905355402108816 Order of pole (three term test) 32.301833524390474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.5498614779802655 y[1] (closed_form) 3.6599525515937685 y[1] (numeric) 3.6599525515914704 absolute error 2.298161660974074e-12 relative error 6.279211625225341e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4629592243866182 Order of pole (three term test) 32.31114003399342 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.539967043923054 y[1] (closed_form) 3.648833273064872 y[1] (numeric) 3.6488332730625666 absolute error 2.305267088331675e-12 relative error 6.317819740761529e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46660618385623687 Order of pole (three term test) 32.32033484586592 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.529874721184698 y[1] (closed_form) 3.637325322492229 y[1] (numeric) 3.6373253224899185 absolute error 2.3105961588498758e-12 relative error 6.352459442002008e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.5199802871274866 y[1] (closed_form) 3.6258811150641606 y[1] (numeric) 3.6258811150618437 absolute error 2.3168134077877767e-12 relative error 6.389656291162708e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.5098879643891308 y[1] (closed_form) 3.614044052084842 y[1] (numeric) 3.6140440520825186 absolute error 2.3234747459355276e-12 relative error 6.429016117263925e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4765641037021421 Order of pole (three term test) 32.34871284650754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.499993530331919 y[1] (closed_form) 3.6022794872280786 y[1] (numeric) 3.6022794872257493 absolute error 2.3292479056635784e-12 relative error 6.466038834360167e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.4899012075935634 y[1] (closed_form) 3.590118040241517 y[1] (numeric) 3.590118040239182 absolute error 2.3350210653916292e-12 relative error 6.504023096785269e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48222879789893414 Order of pole (three term test) 32.367882785009535 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.480006773536352 y[1] (closed_form) 3.5780378173955993 y[1] (numeric) 3.5780378173932585 absolute error 2.34079422511968e-12 relative error 6.542117061310183e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48474826946866056 Order of pole (three term test) 32.37745386238629 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.469914450797996 y[1] (closed_form) 3.565556844378742 y[1] (numeric) 3.565556844376394 absolute error 2.347899652477281e-12 relative error 6.584945227219834e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.45982212805964 y[1] (closed_form) 3.5529164129570185 y[1] (numeric) 3.5529164129546658 absolute error 2.3527846337856317e-12 relative error 6.622122111303649e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4892998353880102 Order of pole (three term test) 32.397112497804905 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.4499276940024286 y[1] (closed_form) 3.5403702756417976 y[1] (numeric) 3.540370275639438 absolute error 2.3594459719333827e-12 relative error 6.664404534651853e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.439835371264073 y[1] (closed_form) 3.5274178691593168 y[1] (numeric) 3.5274178691569507 absolute error 2.3661073100811336e-12 relative error 6.707760174285911e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49302076640807607 Order of pole (three term test) 32.41674804932059 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.429940937206861 y[1] (closed_form) 3.514568394985634 y[1] (numeric) 3.5145683949832622 absolute error 2.3718804698091844e-12 relative error 6.748710519315074e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49457168538390794 Order of pole (three term test) 32.42652008798112 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.4198486144685054 y[1] (closed_form) 3.5013091873737654 y[1] (numeric) 3.501309187371386 absolute error 2.3794299863766355e-12 relative error 6.795829385640118e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4959534737711282 Order of pole (three term test) 32.43652074103789 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.409954180411294 y[1] (closed_form) 3.4881615091559466 y[1] (numeric) 3.488161509153561 absolute error 2.3856472353145364e-12 relative error 6.839268276576468e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.399861857672938 y[1] (closed_form) 3.4746007968999653 y[1] (numeric) 3.4746007968975734 absolute error 2.3918644842524373e-12 relative error 6.883854071484862e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4980939764539517 Order of pole (three term test) 32.45639007955429 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.3899674236157264 y[1] (closed_form) 3.4611601665720704 y[1] (numeric) 3.4611601665696723 absolute error 2.398081733190338e-12 relative error 6.928548861595723e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49885955255439657 Order of pole (three term test) 32.46625372048778 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.3798751008773706 y[1] (closed_form) 3.4473033665954365 y[1] (numeric) 3.447303366593034 absolute error 2.4025226252888388e-12 relative error 6.969281115695874e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4994398118260886 Order of pole (three term test) 32.47632353510022 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.369980666820159 y[1] (closed_form) 3.433575153113342 y[1] (numeric) 3.433575153110932 absolute error 2.4096280526464398e-12 relative error 7.017839846789275e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.3598883440818033 y[1] (closed_form) 3.4194278006138736 y[1] (numeric) 3.4194278006114582 absolute error 2.4154012123744906e-12 relative error 7.063758480120168e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.3499939100245917 y[1] (closed_form) 3.4054174878106016 y[1] (numeric) 3.405417487808179 absolute error 2.4225066397320916e-12 relative error 7.113684734407001e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999613570837397 Order of pole (three term test) 32.50619862428136 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.339901587286236 y[1] (closed_form) 3.390985234049399 y[1] (numeric) 3.3909852340469695 absolute error 2.4296120670896926e-12 relative error 7.16491491231984e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.3300071532290243 y[1] (closed_form) 3.3766984184445636 y[1] (numeric) 3.376698418442126 absolute error 2.4376056728669937e-12 relative error 7.21890252191917e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49931425187187006 Order of pole (three term test) 32.52617489701834 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.3199148304906685 y[1] (closed_form) 3.3619870284885716 y[1] (numeric) 3.3619870284861264 absolute error 2.4451551894344448e-12 relative error 7.27294653047397e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.3098225077523127 y[1] (closed_form) 3.3471369145508927 y[1] (numeric) 3.3471369145484395 absolute error 2.453148795211746e-12 relative error 7.32909605384607e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4978508303755266 Order of pole (three term test) 32.54630618140836 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.299928073695101 y[1] (closed_form) 3.3324447674719213 y[1] (numeric) 3.332444767469462 absolute error 2.4593660441496468e-12 relative error 7.380065434709022e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.2898357509567453 y[1] (closed_form) 3.3173244029101614 y[1] (numeric) 3.317324402907694 absolute error 2.467359649926948e-12 relative error 7.437800318119108e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.2799413168995337 y[1] (closed_form) 3.3023702518668188 y[1] (numeric) 3.3023702518643425 absolute error 2.476241434123949e-12 relative error 7.498376151868914e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4941963597382392 Order of pole (three term test) 32.57596027617309 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.269848994161178 y[1] (closed_form) 3.286985676618702 y[1] (numeric) 3.2869856766162195 absolute error 2.48245868306185e-12 relative error 7.552386676705987e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49256287488546785 Order of pole (three term test) 32.585915544833995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.2599545601039663 y[1] (closed_form) 3.271775495153534 y[1] (numeric) 3.2717754951510423 absolute error 2.4917845564687013e-12 relative error 7.61600103723428e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.2498622373656105 y[1] (closed_form) 3.2561328546976336 y[1] (numeric) 3.2561328546951347 absolute error 2.4988899838263023e-12 relative error 7.674410398277041e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4887357264917223 Order of pole (three term test) 32.605530551747556 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.239967803308399 y[1] (closed_form) 3.240672718626369 y[1] (numeric) 3.2406727186238635 absolute error 2.5055513219740533e-12 relative error 7.73157779115716e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.229875480570043 y[1] (closed_form) 3.2247782615272484 y[1] (numeric) 3.2247782615247345 absolute error 2.5139890169612045e-12 relative error 7.795850793693283e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4841278604706821 Order of pole (three term test) 32.62498051480671 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.2199810465128316 y[1] (closed_form) 3.2090743465117715 y[1] (numeric) 3.2090743465092486 absolute error 2.5228708011582057e-12 relative error 7.86167763268102e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4815607194571893 Order of pole (three term test) 32.63453444748348 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.2098887237744758 y[1] (closed_form) 3.1929344219239546 y[1] (numeric) 3.192934421921423 absolute error 2.531752585355207e-12 relative error 7.929234524740593e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.199994289717264 y[1] (closed_form) 3.176993001005389 y[1] (numeric) 3.1769930010028484 absolute error 2.5406343695522082e-12 relative error 7.996978176370552e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.1899019669789084 y[1] (closed_form) 3.160614056137141 y[1] (numeric) 3.1606140561345932 absolute error 2.5477397969098092e-12 relative error 8.060901304804111e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.180007532921697 y[1] (closed_form) 3.1444414972300443 y[1] (numeric) 3.144441497227489 absolute error 2.5552893134772603e-12 relative error 8.126369390965704e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4692782053030601 Order of pole (three term test) 32.67255934947322 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.169915210183341 y[1] (closed_form) 3.127830074767992 y[1] (numeric) 3.1278300747654306 absolute error 2.561506562415161e-12 relative error 8.189404479094542e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.159822887444985 y[1] (closed_form) 3.1111037781732467 y[1] (numeric) 3.111103778170676 absolute error 2.5708324358220125e-12 relative error 8.263409449271196e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.1499284533877736 y[1] (closed_form) 3.0945955736122492 y[1] (numeric) 3.09459557360967 absolute error 2.5792701308091637e-12 relative error 8.334756737851989e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.139836130649418 y[1] (closed_form) 3.077646820045822 y[1] (numeric) 3.077646820043235 absolute error 2.5868196473766147e-12 relative error 8.405186815224303e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4539152796745022 Order of pole (three term test) 32.70966420073444 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.1299416965922062 y[1] (closed_form) 3.0609238284290026 y[1] (numeric) 3.060923828426407 absolute error 2.595701431573616e-12 relative error 8.480124227416144e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.1198493738538504 y[1] (closed_form) 3.0437593881916793 y[1] (numeric) 3.043759388189074 absolute error 2.6054713941903174e-12 relative error 8.560043886183289e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4451735877619197 Order of pole (three term test) 32.72763915758519 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.109954939796639 y[1] (closed_form) 3.0268282896375975 y[1] (numeric) 3.0268282896349823 absolute error 2.6152413568070187e-12 relative error 8.640203891843967e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.099862617058283 y[1] (closed_form) 3.009455019187743 y[1] (numeric) 3.00945501918512 absolute error 2.62279087337447e-12 relative error 8.715168881581641e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4357203741343485 Order of pole (three term test) 32.74525015723006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.0899681830010715 y[1] (closed_form) 2.992322576944762 y[1] (numeric) 2.9923225769421307 absolute error 2.631228568361621e-12 relative error 8.793265099941774e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4307823371816764 Order of pole (three term test) 32.75382231786252 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.0798758602627156 y[1] (closed_form) 2.9747474161594667 y[1] (numeric) 2.974747416156826 absolute error 2.6405544417684723e-12 relative error 8.876566889089184e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42557155707664956 Order of pole (three term test) 32.76246525411021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.069981426205504 y[1] (closed_form) 2.9574204739041257 y[1] (numeric) 2.957420473901475 absolute error 2.6507684935950238e-12 relative error 8.963109970276607e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42029442586570914 Order of pole (three term test) 32.77083573487032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.0598891034671483 y[1] (closed_form) 2.9396504433070154 y[1] (numeric) 2.939650443304355 absolute error 2.660538456211725e-12 relative error 9.050526610295549e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.0499946694099367 y[1] (closed_form) 2.922135922410275 y[1] (numeric) 2.9221359224076053 absolute error 2.6698643296185764e-12 relative error 9.136687685001262e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.039902346671581 y[1] (closed_form) 2.9041781203671153 y[1] (numeric) 2.9041781203644383 absolute error 2.6769697569761775e-12 relative error 9.217650040823886e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.0300079126143693 y[1] (closed_form) 2.8864830171295637 y[1] (numeric) 2.886483017126878 absolute error 2.6858515411731787e-12 relative error 9.304927571838268e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3973227495093156 Order of pole (three term test) 32.803534068044854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -2.0199155898760135 y[1] (closed_form) 2.8683446170127667 y[1] (numeric) 2.868344617010072 absolute error 2.69473332537018e-12 relative error 9.394733496760253e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -2.0098232671376577 y[1] (closed_form) 2.850117772424599 y[1] (numeric) 2.850117772421894 absolute error 2.7049473771967314e-12 relative error 9.490651240336743e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38474842240270984 Order of pole (three term test) 32.81932676596697 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9999288330804461 y[1] (closed_form) 2.832164247193072 y[1] (numeric) 2.832164247190357 absolute error 2.7147173398134328e-12 relative error 9.585310394705958e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.378354778813316 Order of pole (three term test) 32.826877035255535 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.9898365103420903 y[1] (closed_form) 2.8137677351643733 y[1] (numeric) 2.8137677351616497 absolute error 2.723599124010434e-12 relative error 9.679544938883622e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -1.9799420762848787 y[1] (closed_form) 2.7956514634154193 y[1] (numeric) 2.795651463412687 absolute error 2.7320368189975852e-12 relative error 9.772451447362768e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36498949975951234 Order of pole (three term test) 32.841737018868685 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.969849753546523 y[1] (closed_form) 2.7770926325644423 y[1] (numeric) 2.777092632561702 absolute error 2.7404745139847364e-12 relative error 9.868142250098832e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -1.9599553194893113 y[1] (closed_form) 2.758820850972331 y[1] (numeric) 2.758820850969583 absolute error 2.7480240305521875e-12 relative error 9.960864365599028e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.0001978886811443317 NO POLE (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] -1.9498629967509555 y[1] (closed_form) 2.740107114756743 y[1] (numeric) 2.740107114753985 absolute error 2.757793993168889e-12 relative error 1.006454812776075e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.939968562693744 y[1] (closed_form) 2.721687122115262 y[1] (numeric) 2.721687122112495 absolute error 2.76711986657574e-12 relative error 1.0166928608697565e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.9298762399553882 y[1] (closed_form) 2.702825955870784 y[1] (numeric) 2.7028259558680063 absolute error 2.7777780076121417e-12 relative error 1.0277309945091192e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.9199818058981766 y[1] (closed_form) 2.6842651101776855 y[1] (numeric) 2.684265110174898 absolute error 2.787547970228843e-12 relative error 1.0384771458152733e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.9098894831598208 y[1] (closed_form) 2.665264048132019 y[1] (numeric) 2.665264048129221 absolute error 2.7977620220553945e-12 relative error 1.0497128883032202e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3136905904881905 Order of pole (three term test) 32.889358168762605 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8999950491026092 y[1] (closed_form) 2.6465697636498122 y[1] (numeric) 2.6465697636470056 absolute error 2.8066438062523957e-12 relative error 1.0604835907978597e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.8899027263642534 y[1] (closed_form) 2.627436395913036 y[1] (numeric) 2.62743639591022 absolute error 2.815969679659247e-12 relative error 1.0717556033095506e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.8800082923070418 y[1] (closed_form) 2.6086161402073094 y[1] (numeric) 2.6086161402044836 absolute error 2.8257396422759484e-12 relative error 1.0832332127069428e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.869915969568686 y[1] (closed_form) 2.5893581097399565 y[1] (numeric) 2.589358109737122 absolute error 2.8346214264729497e-12 relative error 1.0947197360652538e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28159430214279146 Order of pole (three term test) 32.91316210902148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8598236468303302 y[1] (closed_form) 2.5700400507246712 y[1] (numeric) 2.5700400507218273 absolute error 2.843947299879801e-12 relative error 1.1065770352792349e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27319771249346675 Order of pole (three term test) 32.9187634205153 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8499292127731186 y[1] (closed_form) 2.5510444002564263 y[1] (numeric) 2.5510444002535726 absolute error 2.8537172624965024e-12 relative error 1.118646646138206e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.8398368900347628 y[1] (closed_form) 2.53161327367744 y[1] (numeric) 2.5316132736745764 absolute error 2.8634872251132037e-12 relative error 1.1310918831428314e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2562448060281473 Order of pole (three term test) 32.92934495370358 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8299424559775512 y[1] (closed_form) 2.5125105721476153 y[1] (numeric) 2.512510572144742 absolute error 2.873257187729905e-12 relative error 1.1435801383609443e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24769868473814813 Order of pole (three term test) 32.93433322576499 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8198501332391954 y[1] (closed_form) 2.4929741399073597 y[1] (numeric) 2.492974139904476 absolute error 2.8839153287663066e-12 relative error 1.1568171857865619e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23888180457046543 Order of pole (three term test) 32.93924557184294 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.8099556991819838 y[1] (closed_form) 2.4737720180266543 y[1] (numeric) 2.47377201802376 absolute error 2.894129380592858e-12 relative error 1.1699256679690014e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.799863376443628 y[1] (closed_form) 2.4541380840926585 y[1] (numeric) 2.454138084089756 absolute error 2.9025670755800093e-12 relative error 1.1827236186887763e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.7899689423864165 y[1] (closed_form) 2.43484421228594 y[1] (numeric) 2.434844212283026 absolute error 2.914113395036111e-12 relative error 1.1968377197735422e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2122207270197639 Order of pole (three term test) 32.952732604067684 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7798766196480607 y[1] (closed_form) 2.415120619573484 y[1] (numeric) 2.415120619570562 absolute error 2.922107000813412e-12 relative error 1.209921764209633e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20304022534502797 Order of pole (three term test) 32.956919006536396 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.769982185590849 y[1] (closed_form) 2.395742704915783 y[1] (numeric) 2.395742704912853 absolute error 2.930100606590713e-12 relative error 1.2230447787980282e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.7598898628524933 y[1] (closed_form) 2.3759373321549875 y[1] (numeric) 2.375937332152047 absolute error 2.9403146584172646e-12 relative error 1.237538809893771e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.184618025811923 Order of pole (three term test) 32.96466866767336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7499954287952817 y[1] (closed_form) 2.3564831152928534 y[1] (numeric) 2.3564831152899015 absolute error 2.9518609778733662e-12 relative error 1.252655263564883e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17538737133501822 Order of pole (three term test) 32.968231578358505 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7399031060569259 y[1] (closed_form) 2.3366038738814616 y[1] (numeric) 2.3366038738785 absolute error 2.9616309404900676e-12 relative error 1.2674938073993429e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16590109000763534 Order of pole (three term test) 32.971676784329915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7300086719997143 y[1] (closed_form) 2.3170811259409048 y[1] (numeric) 2.3170811259379325 absolute error 2.972289081526469e-12 relative error 1.2827729889343008e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15653527796654026 Order of pole (three term test) 32.974865160150756 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7199163492613585 y[1] (closed_form) 2.2971359567840226 y[1] (numeric) 2.2971359567810388 absolute error 2.9838354009825707e-12 relative error 1.2989372231846145e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14691925927592592 Order of pole (three term test) 32.97792505163438 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.7098240265230027 y[1] (closed_form) 2.2771605231076073 y[1] (numeric) 2.2771605231046124 absolute error 2.9949376312288223e-12 relative error 1.3152070751435983e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13724325158181883 Order of pole (three term test) 32.98079379049517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6999295924657911 y[1] (closed_form) 2.257549346604323 y[1] (numeric) 2.2575493466013192 absolute error 3.0038194154258235e-12 relative error 1.330566448057491e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.6898372697274353 y[1] (closed_form) 2.237519984481926 y[1] (numeric) 2.237519984478911 absolute error 3.014921645672075e-12 relative error 1.3474389800232994e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11791961060834587 Order of pole (three term test) 32.98589458506854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6799428356702237 y[1] (closed_form) 2.2178598564968173 y[1] (numeric) 2.2178598564937912 absolute error 3.0260238759183267e-12 relative error 1.3643891281291466e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10828179783516233 Order of pole (three term test) 32.98813195101229 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.669850512931868 y[1] (closed_form) 2.197784566800335 y[1] (numeric) 2.1977845667972984 absolute error 3.036682016954728e-12 relative error 1.381701401869297e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.6599560788746563 y[1] (closed_form) 2.1780833407120817 y[1] (numeric) 2.178083340709036 absolute error 3.0455638011517294e-12 relative error 1.3982769824390842e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.6498637561363005 y[1] (closed_form) 2.157970142659509 y[1] (numeric) 2.157970142656454 absolute error 3.0548896745585807e-12 relative error 1.4156311128539051e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.639969322079089 y[1] (closed_form) 2.1382356882637223 y[1] (numeric) 2.138235688260657 absolute error 3.0655478155949822e-12 relative error 1.433680969979624e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06895258798745887 Order of pole (three term test) 32.99521875339763 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6298769993407332 y[1] (closed_form) 2.118092616215816 y[1] (numeric) 2.1180926162127403 absolute error 3.0757618674215337e-12 relative error 1.452137571262908e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.058943326859708295 Order of pole (three term test) 32.99651550788162 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6199825652835216 y[1] (closed_form) 2.0983328165813946 y[1] (numeric) 2.0983328165783077 absolute error 3.0868640976677852e-12 relative error 1.4711031888148738e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0491068986215702 Order of pole (three term test) 32.99758711215529 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.6098902425451658 y[1] (closed_form) 2.078167916832294 y[1] (numeric) 2.0781679168291958 absolute error 3.098410417123887e-12 relative error 1.4909336209206454e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03905407395289849 Order of pole (three term test) 32.99847269965073 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5999958084879542 y[1] (closed_form) 2.0583906651524693 y[1] (numeric) 2.0583906651493598 absolute error 3.1095126473701384e-12 relative error 1.5106523266028368e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.029182898266358816 Order of pole (three term test) 32.999145847222465 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5899034857495984 y[1] (closed_form) 2.038211992715545 y[1] (numeric) 2.0382119927124256 absolute error 3.11928260998684e-12 relative error 1.530401460267617e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.5800090516923868 y[1] (closed_form) 2.018425189154894 y[1] (numeric) 2.0184251891517637 absolute error 3.1303848402330914e-12 relative error 1.550904565129694e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.009212209456211182 Order of pole (three term test) 32.9999108475974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.569916728954031 y[1] (closed_form) 1.998240804545115 y[1] (numeric) 1.9982408045419753 absolute error 3.1397107136399427e-12 relative error 1.5712374136783153e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.5598244062156752 y[1] (closed_form) 1.9780565991166292 y[1] (numeric) 1.97805659911348 absolute error 3.149258631651719e-12 relative error 1.5920973308135526e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010971050466138652 Order of pole (three term test) 32.99987686656381 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5499299721584636 y[1] (closed_form) 1.9582703190978865 y[1] (numeric) 1.958270319094728 absolute error 3.1585845050585704e-12 relative error 1.6129461158935559e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.5398376494201078 y[1] (closed_form) 1.9380925354516538 y[1] (numeric) 1.9380925354484846 absolute error 3.169242646094972e-12 relative error 1.635238043655336e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.030938875303739496 Order of pole (three term test) 32.99904382979724 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.5299432153628962 y[1] (closed_form) 1.918316502870034 y[1] (numeric) 1.9183165028668547 absolute error 3.1792346533165983e-12 relative error 1.6573045420607486e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.5198508926245404 y[1] (closed_form) 1.8981532011659885 y[1] (numeric) 1.898153201162799 absolute error 3.1894487051431497e-12 relative error 1.6802904545238763e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.5099564585673289 y[1] (closed_form) 1.878395315699092 y[1] (numeric) 1.8783953156958926 absolute error 3.199440712364776e-12 relative error 1.7032840135538902e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.499864135828973 y[1] (closed_form) 1.858254550312254 y[1] (numeric) 1.8582545503090442 absolute error 3.2098768087962526e-12 relative error 1.72736119938836e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.4899697017717615 y[1] (closed_form) 1.8385227043886863 y[1] (numeric) 1.8385227043854664 absolute error 3.219868816017879e-12 relative error 1.7513348126361562e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08047509780362468 Order of pole (three term test) 32.99347916760256 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4798773790334057 y[1] (closed_form) 1.8184125206917825 y[1] (numeric) 1.8184125206885529 absolute error 3.2296387786345804e-12 relative error 1.776075968397931e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.469982944976194 y[1] (closed_form) 1.7987145963384665 y[1] (numeric) 1.7987145963352271 absolute error 3.2394087412512818e-12 relative error 1.800957610421102e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.4598906222378383 y[1] (closed_form) 1.7786430274881488 y[1] (numeric) 1.7786430274848988 absolute error 3.2500668822876833e-12 relative error 1.8272732819679517e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10999845043085496 Order of pole (three term test) 32.98775216232704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4499961881806267 y[1] (closed_form) 1.758986893181795 y[1] (numeric) 1.7589868931785353 absolute error 3.2596148002994596e-12 relative error 1.8531205735155933e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.439903865442271 y[1] (closed_form) 1.7389619569097388 y[1] (numeric) 1.738961956906469 absolute error 3.269828852126011e-12 relative error 1.8803337468846839e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1294026504843394 Order of pole (three term test) 32.982963032426426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4300094313850593 y[1] (closed_form) 1.7193554644337241 y[1] (numeric) 1.7193554644304447 absolute error 3.2793767701377874e-12 relative error 1.9073291346521306e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1389338395720755 Order of pole (three term test) 32.980311767715996 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4199171086467035 y[1] (closed_form) 1.6993851598438883 y[1] (numeric) 1.6993851598405991 absolute error 3.2891467327544888e-12 relative error 1.9354922065205286e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14859988862509632 Order of pole (three term test) 32.977403701046455 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.4098247859083477 y[1] (closed_form) 1.6794454741121685 y[1] (numeric) 1.6794454741088691 absolute error 3.2993607845810402e-12 relative error 1.9645536788416623e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.3999303518511361 y[1] (closed_form) 1.6599284455251326 y[1] (numeric) 1.6599284455218233 absolute error 3.3093527918026666e-12 relative error 1.993671956597939e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16755971798282157 Order of pole (three term test) 32.97108976404382 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3898380291127803 y[1] (closed_form) 1.6400553875852428 y[1] (numeric) 1.6400553875819233 absolute error 3.319566843629218e-12 relative error 2.0240577658275468e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1770335496000863 Order of pole (three term test) 32.967610766077456 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3799435950555687 y[1] (closed_form) 1.6206075752200952 y[1] (numeric) 1.620607575216766 absolute error 3.3293368062459194e-12 relative error 2.054375690422008e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1862519682673122 Order of pole (three term test) 32.96401358167052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.369851272317213 y[1] (closed_form) 1.6008090835071087 y[1] (numeric) 1.6008090835037696 absolute error 3.339106768862621e-12 relative error 2.0858869450860364e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.3599568382600014 y[1] (closed_form) 1.5814382559315372 y[1] (numeric) 1.5814382559281885 absolute error 3.348654686874397e-12 relative error 2.1174741880149416e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2046464276913541 Order of pole (three term test) 32.95620389529873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3498645155216455 y[1] (closed_form) 1.5617222390945154 y[1] (numeric) 1.561722239091156 absolute error 3.3593128279107987e-12 relative error 2.1510309220278019e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21381247181242605 Order of pole (three term test) 32.95197796728612 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.339970081464434 y[1] (closed_form) 1.5424361341240833 y[1] (numeric) 1.542436134120715 absolute error 3.368416656712725e-12 relative error 2.1838289328106132e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22271417377579897 Order of pole (three term test) 32.94766043003775 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3298777587260782 y[1] (closed_form) 1.5228104678669072 y[1] (numeric) 1.522810467863529 absolute error 3.3781866193294263e-12 relative error 2.2183894126111813e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23170395767600854 Order of pole (three term test) 32.94307306334752 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3199833246688666 y[1] (closed_form) 1.503616789474128 y[1] (numeric) 1.50361678947074 absolute error 3.3879565819461277e-12 relative error 2.2532048096716353e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2404258966950857 Order of pole (three term test) 32.938399319761174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.3098910019305108 y[1] (closed_form) 1.4840893134094948 y[1] (numeric) 1.4840893134060966 absolute error 3.398170633772679e-12 relative error 2.289734588793609e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24922521536778192 Order of pole (three term test) 32.933458213256486 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2999965678732992 y[1] (closed_form) 1.4649957286464241 y[1] (numeric) 1.4649957286430162 absolute error 3.4079405963893805e-12 relative error 2.3262460973440045e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.2899042451349434 y[1] (closed_form) 1.4455742431642564 y[1] (numeric) 1.4455742431608387 absolute error 3.417710559006082e-12 relative error 2.3642580622666346e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.2800098110777318 y[1] (closed_form) 1.4265883790998344 y[1] (numeric) 1.4265883790964076 absolute error 3.426814387808008e-12 relative error 2.402104515929325e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27466927378468653 Order of pole (three term test) 32.917801964030275 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.269917488339376 y[1] (closed_form) 1.407280642251358 y[1] (numeric) 1.4072806422479212 absolute error 3.4368063950296346e-12 relative error 2.442161351364469e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.2598251656010202 y[1] (closed_form) 1.3880332763077505 y[1] (numeric) 1.3880332763043042 absolute error 3.446354313041411e-12 relative error 2.4829046766147526e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.2499307315438086 y[1] (closed_form) 1.3692238073234577 y[1] (numeric) 1.3692238073200023 absolute error 3.4554581418433372e-12 relative error 2.523662036375211e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2992915206319718 Order of pole (three term test) 32.90053179295867 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2398384088054528 y[1] (closed_form) 1.350101778872256 y[1] (numeric) 1.350101778868791 absolute error 3.4650060598551136e-12 relative error 2.566477664187246e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3073147277001708 Order of pole (three term test) 32.89440390081825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2299439747482412 y[1] (closed_form) 1.331418940455349 y[1] (numeric) 1.3314189404518744 absolute error 3.47455397786689e-12 relative error 2.609662422767234e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31505871142844966 Order of pole (three term test) 32.88824990867094 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.2198516520098854 y[1] (closed_form) 1.3124298879275278 y[1] (numeric) 1.3124298879240435 absolute error 3.4843239404835913e-12 relative error 2.6548648217587644e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.2099572179526739 y[1] (closed_form) 1.2938811430713812 y[1] (numeric) 1.293881143067888 absolute error 3.4932057246805925e-12 relative error 2.69978872741627e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.199864895214318 y[1] (closed_form) 1.2750326517797315 y[1] (numeric) 1.2750326517762287 absolute error 3.502753642692369e-12 relative error 2.747187405595545e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.1899704611571065 y[1] (closed_form) 1.2566254099130898 y[1] (numeric) 1.2566254099095782 absolute error 3.51163542688937e-12 relative error 2.794496593167124e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.1798781384187507 y[1] (closed_form) 1.237925009022212 y[1] (numeric) 1.2379250090186908 absolute error 3.5211833449011465e-12 relative error 2.844423789194137e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3522919813228586 Order of pole (three term test) 32.85481255705421 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.169983704361539 y[1] (closed_form) 1.219666623049438 y[1] (numeric) 1.219666623045908 absolute error 3.5300651290981477e-12 relative error 2.894286899703953e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35924341597057435 Order of pole (three term test) 32.84777063609755 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1598913816231833 y[1] (closed_form) 1.2011217825681633 y[1] (numeric) 1.2011217825646239 absolute error 3.539391002504999e-12 relative error 2.946737836139559e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36618966212593607 Order of pole (three term test) 32.840447922042834 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1499969475659717 y[1] (closed_form) 1.1830195459320691 y[1] (numeric) 1.1830195459285207 absolute error 3.5484948313069253e-12 relative error 2.999523417435307e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.139904624827616 y[1] (closed_form) 1.1646376737295112 y[1] (numeric) 1.164637673725953 absolute error 3.5582647939236267e-12 relative error 3.055254757927433e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.1300101907704043 y[1] (closed_form) 1.1466988174979402 y[1] (numeric) 1.1466988174943737 absolute error 3.566480444305853e-12 relative error 3.1102155072312693e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3858698173202626 Order of pole (three term test) 32.8179695254833 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.1199178680320485 y[1] (closed_form) 1.1284872563443678 y[1] (numeric) 1.128487256340792 absolute error 3.575806317712704e-12 relative error 3.168672306762422e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.1098255452936927 y[1] (closed_form) 1.1103644623488975 y[1] (numeric) 1.1103644623453126 absolute error 3.5849101465146305e-12 relative error 3.228588691438311e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3983880471565325 Order of pole (three term test) 32.802135246508286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0999311112364811 y[1] (closed_form) 1.0926849709554087 y[1] (numeric) 1.092684970951815 absolute error 3.5937919307116317e-12 relative error 3.2889552123786743e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40428874121441594 Order of pole (three term test) 32.79419429835302 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0898387884981253 y[1] (closed_form) 1.0747434093572754 y[1] (numeric) 1.0747434093536719 absolute error 3.603561893328333e-12 relative error 3.3529509108442517e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4101441099749056 Order of pole (three term test) 32.78597330502242 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0799443544409137 y[1] (closed_form) 1.0572451190414958 y[1] (numeric) 1.057245119037883 absolute error 3.6126657221302594e-12 relative error 3.4170559476363647e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.069852031702558 y[1] (closed_form) 1.0394919567257492 y[1] (numeric) 1.039491956722128 absolute error 3.6213254617223356e-12 relative error 3.483745533855781e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42124461118383355 Order of pole (three term test) 32.76935820574883 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0599575976453464 y[1] (closed_form) 1.0221818573048465 y[1] (numeric) 1.0221818573012165 absolute error 3.629985201314412e-12 relative error 3.5512127077714676e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4264919992248304 Order of pole (three term test) 32.76096951680196 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0498652749069906 y[1] (closed_form) 1.0046241858990976 y[1] (numeric) 1.0046241858954577 absolute error 3.639977208536038e-12 relative error 3.6232227529724533e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.039970840849779 y[1] (closed_form) 0.9875091920160405 y[1] (numeric) 0.9875091920123921 absolute error 3.6484149035231894e-12 relative error 3.6945629802946956e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4365808382306108 Order of pole (three term test) 32.74371466510975 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0298785181114232 y[1] (closed_form) 0.9701540250576572 y[1] (numeric) 0.9701540250540003 absolute error 3.656963620812803e-12 relative error 3.7694670396233897e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4414103245640808 Order of pole (three term test) 32.7348574377782 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -1.0199840840542116 y[1] (closed_form) 0.9532409734191133 y[1] (numeric) 0.9532409734154477 absolute error 3.665623360404879e-12 relative error 3.84543201836668e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -1.0098917613158558 y[1] (closed_form) 0.9360952435536155 y[1] (numeric) 0.9360952435499412 absolute error 3.6742830999969556e-12 relative error 3.925116728559158e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -0.9999973272586441 y[1] (closed_form) 0.9193908901989785 y[1] (numeric) 0.9193908901952961 absolute error 3.682387728076719e-12 relative error 4.005247134088702e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4546496324492595 Order of pole (three term test) 32.70807186117832 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9899050045202826 y[1] (closed_form) 0.902461446410732 y[1] (numeric) 0.9024614464070502 absolute error 3.681832616564407e-12 relative error 4.079767209123209e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4587570284517692 Order of pole (three term test) 32.69884958044079 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9800105704630655 y[1] (closed_form) 0.8859724640133653 y[1] (numeric) 0.8859724640096843 absolute error 3.6809444381447065e-12 relative error 4.1546939523045697e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46260144822674903 Order of pole (three term test) 32.68973813901614 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.969918247724704 y[1] (closed_form) 0.8692660688897349 y[1] (numeric) 0.8692660688860548 absolute error 3.680056259725006e-12 relative error 4.2335211179073594e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4663373551553451 Order of pole (three term test) 32.68035842485577 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9598259249863426 y[1] (closed_form) 0.8526748436685128 y[1] (numeric) 0.8526748436648336 absolute error 3.679168081305306e-12 relative error 4.3148547287688315e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46988228275793886 Order of pole (three term test) 32.670911533263016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9499314909291254 y[1] (closed_form) 0.8365223711215095 y[1] (numeric) 0.8365223711178306 absolute error 3.678946036700381e-12 relative error 4.397905141219462e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47317228332618394 Order of pole (three term test) 32.66157961705501 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.939839168190764 y[1] (closed_form) 0.8201642031341914 y[1] (numeric) 0.8201642031305134 absolute error 3.6779468359782186e-12 relative error 4.4844030279829835e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -0.9299447341335468 y[1] (closed_form) 0.8042434328102245 y[1] (numeric) 0.8042434328065475 absolute error 3.676947635256056e-12 relative error 4.5719336773542507e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4792512566461583 Order of pole (three term test) 32.64254382754301 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9198524113951854 y[1] (closed_form) 0.7881248564439627 y[1] (numeric) 0.7881248564402865 absolute error 3.676170479138818e-12 relative error 4.664451893733923e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -0.9099579773379682 y[1] (closed_form) 0.7724421480085609 y[1] (numeric) 0.7724421480048858 absolute error 3.675171278416656e-12 relative error 4.75785958584943e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48456501691504994 Order of pole (three term test) 32.62327713373739 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8998656545996068 y[1] (closed_form) 0.7565696019439222 y[1] (numeric) 0.7565696019402479 absolute error 3.6742830999969556e-12 relative error 4.856503738131019e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -0.8899712205423896 y[1] (closed_form) 0.7411312199670911 y[1] (numeric) 0.7411312199634176 absolute error 3.673505943879718e-12 relative error 4.956620157011919e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4891041985014868 Order of pole (three term test) 32.60381180257327 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8798788978040282 y[1] (closed_form) 0.725511044606079 y[1] (numeric) 0.7255110446024065 absolute error 3.672506743157555e-12 relative error 5.061958422909423e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -0.869984463746811 y[1] (closed_form) 0.7103231560598732 y[1] (numeric) 0.7103231560562016 absolute error 3.671618564737855e-12 relative error 5.168941112808625e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49286204023209484 Order of pole (three term test) 32.58418646984642 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8598921410084496 y[1] (closed_form) 0.6949615909932092 y[1] (numeric) 0.6949615909895386 absolute error 3.6706193640156926e-12 relative error 5.281758605924971e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4944604277132492 Order of pole (three term test) 32.574220821745925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8499977069512324 y[1] (closed_form) 0.6800302627882918 y[1] (numeric) 0.680030262784622 absolute error 3.669842207898455e-12 relative error 5.396586606088965e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4958331098745364 Order of pole (three term test) 32.564419087264824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.839905384212871 y[1] (closed_form) 0.6649334443029669 y[1] (numeric) 0.6649334442992981 absolute error 3.66873198487383e-12 relative error 5.517442409171748e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -0.8300109501556538 y[1] (closed_form) 0.6502646408651379 y[1] (numeric) 0.6502646408614702 absolute error 3.667732784151667e-12 relative error 5.640369402943346e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -0.8199186274172924 y[1] (closed_form) 0.6354385994932286 y[1] (numeric) 0.6354385994895612 absolute error 3.66739971724428e-12 relative error 5.771446242279086e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49880896516278966 Order of pole (three term test) 32.534490078819275 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8098263046789309 y[1] (closed_form) 0.6207515443133865 y[1] (numeric) 0.62075154430972 absolute error 3.6665115388245795e-12 relative error 5.906568533599234e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -0.7999318706217138 y[1] (closed_form) 0.6064888384906215 y[1] (numeric) 0.6064888384869559 absolute error 3.665623360404879e-12 relative error 6.044007948320326e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49978910116101466 Order of pole (three term test) 32.51452921168526 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7898395478833523 y[1] (closed_form) 0.5920814314446662 y[1] (numeric) 0.5920814314410012 absolute error 3.664957226590104e-12 relative error 6.18995467844294e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -0.7799451138261352 y[1] (closed_form) 0.5780957254841499 y[1] (numeric) 0.5780957254804859 absolute error 3.663958025867942e-12 relative error 6.337978062023223e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49997037246169246 Order of pole (three term test) 32.49454772387689 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7698527910877737 y[1] (closed_form) 0.5639737217138291 y[1] (numeric) 0.5639737217101658 absolute error 3.6632918920531665e-12 relative error 6.495501033134998e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -0.7599583570305566 y[1] (closed_form) 0.5502706023057957 y[1] (numeric) 0.5502706023021328 absolute error 3.662958825145779e-12 relative error 6.656650036903486e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4993530101766918 Order of pole (three term test) 32.47457136972365 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7498660342921951 y[1] (closed_form) 0.5364396429464787 y[1] (numeric) 0.536439642942816 absolute error 3.662736780540854e-12 relative error 6.827863728382747e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -0.739971600234978 y[1] (closed_form) 0.5230245838999439 y[1] (numeric) 0.5230245838962817 absolute error 3.662181669028541e-12 relative error 7.001930275860852e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] -0.7298792774966165 y[1] (closed_form) 0.5094901938272285 y[1] (numeric) 0.5094901938235666 absolute error 3.661848602121154e-12 relative error 7.187279846573281e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4969212383964195 Order of pole (three term test) 32.4445944272608 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7199848434393994 y[1] (closed_form) 0.4963685538834368 y[1] (numeric) 0.49636855387977624 absolute error 3.660571845642835e-12 relative error 7.37470538172419e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49572674269647293 Order of pole (three term test) 32.43477367705864 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7098925207010379 y[1] (closed_form) 0.4831361395061995 y[1] (numeric) 0.48313613950253953 absolute error 3.659961222979291e-12 relative error 7.575424241125989e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4943098940574628 Order of pole (three term test) 32.42477817871918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6999980866438208 y[1] (closed_form) 0.4703131601980379 y[1] (numeric) 0.4703131601943787 absolute error 3.659239578013285e-12 relative error 7.780432034843473e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4927247231962797 Order of pole (three term test) 32.41501648817194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6899057639054593 y[1] (closed_form) 0.45738800729880424 y[1] (numeric) 0.45738800729514584 absolute error 3.658406910744816e-12 relative error 7.998475806898097e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4909092716375362 Order of pole (three term test) 32.40508166918803 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6800113298482422 y[1] (closed_form) 0.4448688108570331 y[1] (numeric) 0.4448688108533753 absolute error 3.657796288081272e-12 relative error 8.222190899457712e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4889349008424934 Order of pole (three term test) 32.395393683067844 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6699190071098807 y[1] (closed_form) 0.43225608248053515 y[1] (numeric) 0.4322560824768784 absolute error 3.656741576207878e-12 relative error 8.459664824664541e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48672408170763204 Order of pole (three term test) 32.38554278604113 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6598266843715193 y[1] (closed_form) 0.41980303527129914 y[1] (numeric) 0.4198030352676432 absolute error 3.6559644200906405e-12 relative error 8.70876128308115e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4843144025137702 Order of pole (three term test) 32.375742662641436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6499322503143021 y[1] (closed_form) 0.407750404178437 y[1] (numeric) 0.4077504041747817 absolute error 3.655298286275865e-12 relative error 8.964548529733053e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48176140435718556 Order of pole (three term test) 32.366181861136354 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6398399275759407 y[1] (closed_form) 0.3956173157406039 y[1] (numeric) 0.39561731573694897 absolute error 3.6549097082172466e-12 relative error 9.238497817961226e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4789622452579935 Order of pole (three term test) 32.35648612509976 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6299454935187235 y[1] (closed_form) 0.38388076136090676 y[1] (numeric) 0.3838807613572527 absolute error 3.654077040948778e-12 relative error 9.518781373660415e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47602840451272277 Order of pole (three term test) 32.34704210583661 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6198531707803621 y[1] (closed_form) 0.3720724783433963 y[1] (numeric) 0.37207247833974294 absolute error 3.653355395982771e-12 relative error 9.81893477380766e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47284448837933796 Order of pole (three term test) 32.337460795517636 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6099587367231449 y[1] (closed_form) 0.36065668892741976 y[1] (numeric) 0.3606566889237672 absolute error 3.652578239865534e-12 relative error 1.0127576590158836e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4695358622088332 Order of pole (three term test) 32.32813637520859 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5998664139847835 y[1] (closed_form) 0.3491779282333046 y[1] (numeric) 0.34917792822965293 absolute error 3.651690061445834e-12 relative error 1.045796359443986e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4659711759904921 Order of pole (three term test) 32.31869227061121 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5899719799275663 y[1] (closed_form) 0.3380874638997464 y[1] (numeric) 0.33808746389609495 absolute error 3.651468016840909e-12 relative error 1.080036501419551e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46229214504769683 Order of pole (three term test) 32.30951278336852 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5798796571892049 y[1] (closed_form) 0.32694281080205156 y[1] (numeric) 0.32694281079840076 absolute error 3.6508018830261335e-12 relative error 1.116648466461164e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45835393585390294 Order of pole (three term test) 32.30021634669286 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5699852231319877 y[1] (closed_form) 0.3161821017161782 y[1] (numeric) 0.3161821017125283 absolute error 3.649913704606433e-12 relative error 1.1543707517899887e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4543104657901491 Order of pole (three term test) 32.29118925192003 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5598929003936263 y[1] (closed_form) 0.3053760080262604 y[1] (numeric) 0.30537600802261095 absolute error 3.649469615396583e-12 relative error 1.19507411174317e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] -0.5499984663364091 y[1] (closed_form) 0.2949493526302489 y[1] (numeric) 0.29494935262660016 absolute error 3.648747970430577e-12 relative error 1.237076107437564e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4456027986253448 Order of pole (three term test) 32.27319892431691 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5399061435980477 y[1] (closed_form) 0.2844861349194884 y[1] (numeric) 0.2844861349158403 absolute error 3.648081836615802e-12 relative error 1.2823408204579936e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4409350534629107 Order of pole (three term test) 32.26425093286357 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5300117095408305 y[1] (closed_form) 0.2743976982153802 y[1] (numeric) 0.27439769821173254 absolute error 3.647637747405952e-12 relative error 1.329325198837072e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4361834194483732 Order of pole (three term test) 32.255574772139646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5199193868024691 y[1] (closed_form) 0.26428153609089666 y[1] (numeric) 0.2642815360872496 absolute error 3.647082635893639e-12 relative error 1.3799990305184491e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43116092676388085 Order of pole (three term test) 32.246822420804016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5098270640641076 y[1] (closed_form) 0.2543421640322254 y[1] (numeric) 0.25434216402857895 absolute error 3.646472013230095e-12 relative error 1.4336875787406146e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] -0.4999326300068905 y[1] (closed_form) 0.24477028241193688 y[1] (numeric) 0.24477028240829096 absolute error 3.645916901717783e-12 relative error 1.4895259611548251e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42069878853916953 Order of pole (three term test) 32.22979328627503 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.489840307268529 y[1] (closed_form) 0.23518399421427816 y[1] (numeric) 0.23518399421063274 absolute error 3.6454173013567015e-12 relative error 1.5500278042030914e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41515988703159584 Order of pole (three term test) 32.2213537468789 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4799458732113119 y[1] (closed_form) 0.22596016779238315 y[1] (numeric) 0.22596016778873823 absolute error 3.64491770099562e-12 relative error 1.6130797461367817e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40956450098406494 Order of pole (three term test) 32.21319642571215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4698535504729504 y[1] (closed_form) 0.21673079276709295 y[1] (numeric) 0.21673079276344873 absolute error 3.6442238116052295e-12 relative error 1.6814517979092381e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4036924905371088 Order of pole (three term test) 32.204990769235984 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4599591164157333 y[1] (closed_form) 0.20785870606699985 y[1] (numeric) 0.20785870606335605 absolute error 3.643807477970995e-12 relative error 1.7530213417168456e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3977761236697465 Order of pole (three term test) 32.19705728016866 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4498667936773718 y[1] (closed_form) 0.19898993095391626 y[1] (numeric) 0.19898993095027287 absolute error 3.6433911443367606e-12 relative error 1.8309424637071347e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3915806190496922 Order of pole (three term test) 32.18909059666915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4399723596201547 y[1] (closed_form) 0.19047312799408678 y[1] (numeric) 0.190473127990444 absolute error 3.642780521673217e-12 relative error 1.912490522960439e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3853519150252986 Order of pole (three term test) 32.181403739557545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4298800368817932 y[1] (closed_form) 0.18196849548883431 y[1] (numeric) 0.1819684954851919 absolute error 3.6424196991902136e-12 relative error 2.001675998587192e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3788427930774091 Order of pole (three term test) 32.1736914577201 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4199856028245761 y[1] (closed_form) 0.17381037836710034 y[1] (numeric) 0.17381037836345853 absolute error 3.64180907652667e-12 relative error 2.0952771121842337e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.372311822675016 Order of pole (three term test) 32.166256234974824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4098932800862146 y[1] (closed_form) 0.16567328570593542 y[1] (numeric) 0.16567328570229403 absolute error 3.641392742892435e-12 relative error 2.1979359722217294e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3654998461604017 Order of pole (three term test) 32.158813475593675 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3999988460289975 y[1] (closed_form) 0.15787711324050668 y[1] (numeric) 0.15787711323686549 absolute error 3.641198453863126e-12 relative error 2.306349779981219e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3586770761359457 Order of pole (three term test) 32.15164520578566 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.389906523290636 y[1] (closed_form) 0.15011081084326783 y[1] (numeric) 0.15011081083962713 absolute error 3.6406988535020446e-12 relative error 2.425340875217398e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3515731792979332 Order of pole (three term test) 32.144477074535615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3800120892334189 y[1] (closed_form) 0.1426796972709723 y[1] (numeric) 0.1426796972673321 absolute error 3.640199253140963e-12 relative error 2.5513085062324067e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] -0.3699197664950574 y[1] (closed_form) 0.13528728744267593 y[1] (numeric) 0.13528728743903606 absolute error 3.639866186233576e-12 relative error 2.690471702875899e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33708445589099667 Order of pole (three term test) 32.130712946504666 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35982744375669595 y[1] (closed_form) 0.12808480627506302 y[1] (numeric) 0.1280848062714233 absolute error 3.6397274083554976e-12 relative error 2.8416543024932693e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3295624573598695 Order of pole (three term test) 32.12398204995948 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3499330096994788 y[1] (closed_form) 0.12120863686656069 y[1] (numeric) 0.12120863686292167 absolute error 3.639019641177299e-12 relative error 3.0022775069927708e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32205785841849877 Order of pole (three term test) 32.11753348010211 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.33984068696111736 y[1] (closed_form) 0.11438443518732377 y[1] (numeric) 0.11438443518368491 absolute error 3.638866985511413e-12 relative error 3.1812606143066193e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31427261938913653 Order of pole (three term test) 32.11111296042401 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.32994625290390023 y[1] (closed_form) 0.10788048293254782 y[1] (numeric) 0.10788048292890937 absolute error 3.638450651877179e-12 relative error 3.3726681165787115e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30651593741463784 Order of pole (three term test) 32.10496952679558 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31985393016553876 y[1] (closed_form) 0.10143728671783592 y[1] (numeric) 0.10143728671419781 absolute error 3.638103707181983e-12 relative error 3.5865546338024127e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29848084198677727 Order of pole (three term test) 32.09886420490529 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30995949610832163 y[1] (closed_form) 0.09530814966701318 y[1] (numeric) 0.09530814966337553 absolute error 3.6376457401843254e-12 relative error 3.8167205563149654e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2904845545795723 Order of pole (three term test) 32.09303868646407 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29986717336996016 y[1] (closed_form) 0.0892485326976189 y[1] (numeric) 0.08924853269398164 absolute error 3.6372571621257066e-12 relative error 4.075425166315084e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28221168627324067 Order of pole (three term test) 32.087258847615814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28997273931274303 y[1] (closed_form) 0.08349665917836369 y[1] (numeric) 0.08349665917472679 absolute error 3.6368963396427034e-12 relative error 4.355738751024334e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] -0.27988041657438156 y[1] (closed_form) 0.07782304201160795 y[1] (numeric) 0.07782304200797117 absolute error 3.636771439552433e-12 relative error 4.673129378584274e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] -0.26998598251716444 y[1] (closed_form) 0.07245072965091925 y[1] (numeric) 0.072450729647283 absolute error 3.636257961403544e-12 relative error 5.018939048541945e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] -0.25989365977880297 y[1] (closed_form) 0.0671653786537415 y[1] (numeric) 0.06716537865010548 absolute error 3.636022039010811e-12 relative error 5.413536128122853e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] -0.24999922572158584 y[1] (closed_form) 0.06217477346020095 y[1] (numeric) 0.062174773456565 absolute error 3.635952650071772e-12 relative error 5.847954801796267e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2397119512003613 Order of pole (three term test) 32.06121052403254 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23990690298322437 y[1] (closed_form) 0.0572797999038438 y[1] (numeric) 0.05727979990020814 absolute error 3.635654277633904e-12 relative error 6.347183970155474e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23080693421126341 Order of pole (three term test) 32.05645795562098 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23001246892600724 y[1] (closed_form) 0.052672895410374565 y[1] (numeric) 0.052672895406739334 absolute error 3.6352310051057657e-12 relative error 6.9015211272964555e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22198527900699294 Order of pole (three term test) 32.05197755889618 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21992014618764577 y[1] (closed_form) 0.04817025462702107 y[1] (numeric) 0.04817025462338602 absolute error 3.635050593864264e-12 relative error 7.546255717372076e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.0001978886811443317 NO POLE (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] -0.2098278234492843 y[1] (closed_form) 0.04386641573251826 y[1] (numeric) 0.04386641572888345 absolute error 3.6348077325776273e-12 relative error 8.286083264111175e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20372280183568778 Order of pole (three term test) 32.04338791934477 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.19993338939206717 y[1] (closed_form) 0.039840381696261584 y[1] (numeric) 0.039840381692626985 absolute error 3.63459956576051e-12 relative error 9.122903473842877e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19464782607087555 Order of pole (three term test) 32.03944399786959 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1898410666537057 y[1] (closed_form) 0.035931522618638856 y[1] (numeric) 0.03593152261500451 absolute error 3.6343428266860656e-12 relative error 1.0114636290978699e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1853124623154686 Order of pole (three term test) 32.035609565716236 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17994663259648858 y[1] (closed_form) 0.03229350853886048 y[1] (numeric) 0.03229350853522634 absolute error 3.6341415987628523e-12 relative error 1.1253474036089012e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17608733140994354 Order of pole (three term test) 32.032028970744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1698543098581271 y[1] (closed_form) 0.028781190699822434 y[1] (numeric) 0.028781190696188196 absolute error 3.634238743277507e-12 relative error 1.2627131313576712e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16660634562929585 Order of pole (three term test) 32.028570904599036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15995987580090998 y[1] (closed_form) 0.02553264980725567 y[1] (numeric) 0.02553264980362186 absolute error 3.6338085318554647e-12 relative error 1.4232007094002587e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15724532345080458 Order of pole (three term test) 32.02536696362284 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1498675530625485 y[1] (closed_form) 0.022418276227273215 y[1] (numeric) 0.022418276223639597 absolute error 3.6336177122731073e-12 relative error 1.6208283257089087e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1476334403236911 Order of pole (three term test) 32.02229537275371 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13997311900533138 y[1] (closed_form) 0.019560506174802872 y[1] (numeric) 0.019560506171169514 absolute error 3.6333575037517107e-12 relative error 1.8574966676639834e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13815197419900685 Order of pole (three term test) 32.019467790945995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1298807962669699 y[1] (closed_form) 0.01684532091266877 y[1] (numeric) 0.01684532090903533 absolute error 3.6334407704785576e-12 relative error 2.156943633971363e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1284250125926592 Order of pole (three term test) 32.01677749824913 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11998636220975314 y[1] (closed_form) 0.014379463256973257 y[1] (numeric) 0.014379463253340092 absolute error 3.6331649494458773e-12 relative error 2.5266346069516815e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (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] -0.10989403947139238 y[1] (closed_form) 0.012064550912851968 y[1] (numeric) 0.012064550909218659 absolute error 3.6333089314943834e-12 relative error 3.0115575438650924e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10901143067832401 Order of pole (three term test) 32.012029932665754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.09999960541417595 y[1] (closed_form) 0.009991590658401495 y[1] (numeric) 0.009991590654768042 absolute error 3.6334529135428895e-12 relative error 3.6365109798485155e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (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] -0.08990728267581519 y[1] (closed_form) 0.008077875940578738 y[1] (numeric) 0.0080778759369453 absolute error 3.6334373010316057e-12 relative error 4.498010773821427e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0894236160838158 Order of pole (three term test) 32.008063159593185 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.08001284861859875 y[1] (closed_form) 0.006398641146166728 y[1] (numeric) 0.00639864114253322 absolute error 3.6335084246941207e-12 relative error 5.6785625911696395e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (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] -0.06992052588023799 y[1] (closed_form) 0.004886888501668518 y[1] (numeric) 0.004886888498034977 absolute error 3.6335413844401643e-12 relative error 7.435286037730498e-08% Desired digits 8 Estimated correct digits 8 Correct digits 10 h 0.0001978886811443317 NO POLE (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] -0.05982820314187723 y[1] (closed_form) 0.0035783463349164935 y[1] (numeric) 0.003578346331283118 absolute error 3.6333752846673395e-12 relative error 1.0153783185305148e-07% Desired digits 8 Estimated correct digits 8 Correct digits 9 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.059685595110661384 Order of pole (three term test) 32.00357256567914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.049933769084660795 y[1] (closed_form) 0.0024928632588671062 y[1] (numeric) 0.002492863255233578 absolute error 3.6335283740140945e-12 relative error 1.4575722760121904e-07% Desired digits 8 Estimated correct digits 8 Correct digits 9 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04985079528459623 Order of pole (three term test) 32.00249210055289 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.03984144634630003 y[1] (closed_form) 0.0015871308871608925 y[1] (numeric) 0.0015871308835274098 absolute error 3.6334826206824156e-12 relative error 2.28934024917258e-07% Desired digits 8 Estimated correct digits 8 Correct digits 9 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03979930940465355 Order of pole (three term test) 32.001584091218014 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.029947012289083575 y[1] (closed_form) 0.0008967565226737362 y[1] (numeric) 0.0008967565190400152 absolute error 3.633720928319928e-12 relative error 4.05207080901487e-07% Desired digits 8 Estimated correct digits 8 Correct digits 9 h 0.0001978886811443317 NO POLE (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] -0.019854689550722636 y[1] (closed_form) 0.0003941957472842761 y[1] (numeric) 0.00039419574365080073 absolute error 3.63347535652786e-12 relative error 9.217439258439189e-07% Desired digits 8 Estimated correct digits 7 Correct digits 9 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.019849464249704938 Order of pole (three term test) 32.00039151531375 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.009960255493506029 y[1] (closed_form) 9.920586933465092e-05 y[1] (numeric) 9.920586570116253e-05 absolute error 3.633488394058984e-12 relative error 3.662574017472844e-06% Desired digits 8 Estimated correct digits 7 Correct digits 8 h 0.0001978886811443317 NO POLE (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] 0.00013206724485490115 y[1] (closed_form) 1.7441757260705515e-08 y[1] (numeric) 1.7438123608409942e-08 absolute error 3.633652295572861e-12 relative error 0.020833063098287155% Desired digits 8 Estimated correct digits 3 Correct digits 4 h 0.0001978886811443317 NO POLE (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] 0.0100265013020715 y[1] (closed_form) 0.00010052988616093828 y[1] (numeric) 0.00010052988252745502 absolute error 3.633483257651192e-12 relative error 3.6143314156691166e-06% Desired digits 8 Estimated correct digits 7 Correct digits 8 h 0.0001978886811443317 NO POLE (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] 0.02011882404043244 y[1] (closed_form) 0.000404753427921567 y[1] (numeric) 0.0004047534242880874 absolute error 3.6334795849163326e-12 relative error 8.977019919446926e-07% Desired digits 8 Estimated correct digits 7 Correct digits 9 h 0.0001978886811443317 NO POLE (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] 0.030013258097649046 y[1] (closed_form) 0.0009007280442644428 y[1] (numeric) 0.0009007280406309053 absolute error 3.6335374813123433e-12 relative error 4.0340006114493547e-07% Desired digits 8 Estimated correct digits 8 Correct digits 9 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.029995254968759693 Order of pole (three term test) 32.000897533677936 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.04010558083600983 y[1] (closed_form) 0.0016082420310946643 y[1] (numeric) 0.0016082420274609718 absolute error 3.6336925222230088e-12 relative error 2.2594189506101288e-07% Desired digits 8 Estimated correct digits 8 Correct digits 9 h 0.0001978886811443317 NO POLE (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] 0.050000014893226266 y[1] (closed_form) 0.002499480698769929 y[1] (numeric) 0.0024994806951363735 absolute error 3.633555695908841e-12 relative error 1.45372424667933e-07% Desired digits 8 Estimated correct digits 8 Correct digits 9 h 0.0001978886811443317 NO POLE (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] 0.06009233763158703 y[1] (closed_form) 0.0036100025091490018 y[1] (numeric) 0.003610002505515579 absolute error 3.633422989562929e-12 relative error 1.0064876631954053e-07% Desired digits 8 Estimated correct digits 8 Correct digits 9 h 0.0001978886811443317 NO POLE (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] 0.06998677168880346 y[1] (closed_form) 0.004896149216499279 y[1] (numeric) 0.004896149212866001 absolute error 3.6332785738335538e-12 relative error 7.420685957833876e-08% Desired digits 8 Estimated correct digits 8 Correct digits 10 h 0.0001978886811443317 NO POLE (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] 0.08007909442716422 y[1] (closed_form) 0.006409235244551059 y[1] (numeric) 0.006409235240917702 absolute error 3.6333575037517107e-12 relative error 5.668940778606438e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (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] 0.09017141716552499 y[1] (closed_form) 0.008125376693071007 y[1] (numeric) 0.008125376689437512 absolute error 3.633494546906313e-12 relative error 4.4717859665568614e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (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] 0.10006585122274142 y[1] (closed_form) 0.010004822063771956 y[1] (numeric) 0.01000482206013855 absolute error 3.633406076009038e-12 relative error 3.631654868871495e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (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] 0.11015817396110218 y[1] (closed_form) 0.01212255709162402 y[1] (numeric) 0.012122557087990619 absolute error 3.63340087183861e-12 relative error 2.9972231472096575e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10926907758760783 Order of pole (three term test) 32.01208856010881 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12005260801831862 y[1] (closed_form) 0.014395326683950493 y[1] (numeric) 0.014395326680317138 absolute error 3.6333557690282348e-12 relative error 2.523982851378498e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11890232884564514 Order of pole (three term test) 32.014346573144934 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13014493075667974 y[1] (closed_form) 0.016913809346737696 y[1] (numeric) 0.016913809343104207 absolute error 3.633489342735885e-12 relative error 2.148238323046195e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12868021538615884 Order of pole (three term test) 32.01684629768342 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14003936481389687 y[1] (closed_form) 0.019578995286627432 y[1] (numeric) 0.01957899528299381 absolute error 3.6336211817200592e-12 relative error 1.8558772442229676e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13821569592599295 Order of pole (three term test) 32.01948298122916 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15013168755225834 y[1] (closed_form) 0.022497219558444637 y[1] (numeric) 0.02249721955481079 absolute error 3.633846695771936e-12 relative error 1.615242579791565e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (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] 0.16002612160947546 y[1] (closed_form) 0.02555375721831943 y[1] (numeric) 0.025553757214685488 absolute error 3.633940370839639e-12 relative error 1.4220767379892284e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (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] 0.17011844434783693 y[1] (closed_form) 0.02887055739361777 y[1] (numeric) 0.028870557389983658 absolute error 3.6341103737402847e-12 relative error 1.2587600316104927e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16685532242720674 Order of pole (three term test) 32.02865982800451 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18001287840505406 y[1] (closed_form) 0.03231722581765706 y[1] (numeric) 0.032317225814023014 absolute error 3.6340444542481976e-12 relative error 1.1244914630830337e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17614900759820148 Order of pole (three term test) 32.03205988253178 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19010520114341553 y[1] (closed_form) 0.03603127697689379 y[1] (numeric) 0.03603127697325947 absolute error 3.634322010004354e-12 relative error 1.0086575650191303e-08% Desired digits 8 Estimated correct digits 9 Correct digits 10 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18555789005516266 Order of pole (three term test) 32.03571121728731 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19999963520063266 y[1] (closed_form) 0.039866699368754865 y[1] (numeric) 0.03986669936512012 absolute error 3.634745282532492e-12 relative error 9.117246574420928e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19470900343371464 Order of pole (three term test) 32.03946683647483 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21009195793899413 y[1] (closed_form) 0.04397651790764112 y[1] (numeric) 0.04397651790400629 absolute error 3.634828549259339e-12 relative error 8.265385078675752e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20396412426546662 Order of pole (three term test) 32.04349729002542 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21998639199621126 y[1] (closed_form) 0.04819916218042841 y[1] (numeric) 0.048199162176793195 absolute error 3.635217127317958e-12 relative error 7.542075345023449e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21295722667495157 Order of pole (three term test) 32.04761921273608 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23007871473457273 y[1] (closed_form) 0.05270310640256681 y[1] (numeric) 0.0527031063989313 absolute error 3.635515499755826e-12 relative error 6.898104775810263e-09% Desired digits 8 Estimated correct digits 9 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.2401710374729342 y[1] (closed_form) 0.05740539082395557 y[1] (numeric) 0.05740539082031999 absolute error 3.635577949800961e-12 relative error 6.333164703904106e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.2500654715301513 y[1] (closed_form) 0.06220755656350674 y[1] (numeric) 0.06220755655987087 absolute error 3.635869383344925e-12 relative error 5.844739102769809e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23977034917118778 Order of pole (three term test) 32.06123577752728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.26015779426851277 y[1] (closed_form) 0.06730119946808033 y[1] (numeric) 0.06730119946444423 absolute error 3.636105305737658e-12 relative error 5.402734772152453e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24857710728515522 Order of pole (three term test) 32.06616628349916 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2700522283257299 y[1] (closed_form) 0.07248607176989441 y[1] (numeric) 0.07248607176625776 absolute error 3.6366465394621628e-12 relative error 5.017028031270097e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25711284323250055 Order of pole (three term test) 32.07117312405685 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28014455106409136 y[1] (closed_form) 0.07796903846557823 y[1] (numeric) 0.0779690384619414 absolute error 3.6368269507036644e-12 relative error 4.6644501744230825e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2657156368136919 Order of pole (three term test) 32.0764467543051 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2900389851213085 y[1] (closed_form) 0.08353454619534528 y[1] (numeric) 0.08353454619170836 absolute error 3.636924095218319e-12 relative error 4.353796436163528e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2740444873621858 Order of pole (three term test) 32.0817944615874 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30013130785966996 y[1] (closed_form) 0.08940464647189372 y[1] (numeric) 0.08940464646825617 absolute error 3.6375485956696707e-12 relative error 4.0686348408225206e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28242945645641016 Order of pole (three term test) 32.08740895991617 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3100257419168871 y[1] (closed_form) 0.0953485664477619 y[1] (numeric) 0.09534856644412416 absolute error 3.63774288469898e-12 relative error 3.815204591137687e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.32011806465524856 y[1] (closed_form) 0.10160345545165139 y[1] (numeric) 0.1016034554480134 absolute error 3.637992684879521e-12 relative error 3.58057968472409e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2986926045249471 Order of pole (three term test) 32.099021813195115 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300124987124657 y[1] (closed_form) 0.10792341333229138 y[1] (numeric) 0.10792341332865303 absolute error 3.638353507362524e-12 relative error 3.3712365046870743e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.34010482145082715 y[1] (closed_form) 0.11456059250339135 y[1] (numeric) 0.11456059249975278 absolute error 3.638561674179641e-12 relative error 3.176102353059957e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31447797453435083 Order of pole (three term test) 32.11127821704086 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3499992555080443 y[1] (closed_form) 0.1212540637364442 y[1] (numeric) 0.12125406373280517 absolute error 3.639033518965107e-12 relative error 3.0011641728353524e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32210811369352943 Order of pole (three term test) 32.117576698856766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36009157824640575 y[1] (closed_form) 0.12827088180608381 y[1] (numeric) 0.12827088180244428 absolute error 3.639533119326188e-12 relative error 2.8373806027375164e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3297611297202445 Order of pole (three term test) 32.12415751302012 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3699860123036229 y[1] (closed_form) 0.1353351926366112 y[1] (numeric) 0.13533519263297147 absolute error 3.6397274083554976e-12 relative error 2.68941680094145e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3371338531857437 Order of pole (three term test) 32.13075358154311 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.38007833504198435 y[1] (closed_form) 0.14272884668664687 y[1] (numeric) 0.14272884668300634 absolute error 3.640532320048351e-12 relative error 2.550663306374873e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34451730304694916 Order of pole (three term test) 32.13763703111182 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3901706577803458 y[1] (closed_form) 0.15031167144394386 y[1] (numeric) 0.15031167144030308 absolute error 3.6407821202288915e-12 relative error 2.4221553025485836e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35176109709271786 Order of pole (three term test) 32.14466283206441 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40006509183756295 y[1] (closed_form) 0.157928711807644 y[1] (numeric) 0.1579287118040029 absolute error 3.641115187136279e-12 relative error 2.3055435236951277e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.4101574145759244 y[1] (closed_form) 0.16588387092857648 y[1] (numeric) 0.16588387092493487 absolute error 3.64161478749736e-12 relative error 2.1952796056135597e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36568022533874206 Order of pole (three term test) 32.15900412974623 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42005184863314154 y[1] (closed_form) 0.1738644054742845 y[1] (numeric) 0.1738644054706424 absolute error 3.642086632282826e-12 relative error 2.094785659173643e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.430144171371503 y[1] (closed_form) 0.18218872121366736 y[1] (numeric) 0.18218872121002475 absolute error 3.642613988219523e-12 relative error 1.999363058236485e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37901551481654655 Order of pole (three term test) 32.17389226885198 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44003860542872014 y[1] (closed_form) 0.19052956205980331 y[1] (numeric) 0.1905295620561603 absolute error 3.643002566278142e-12 relative error 1.912040591965817e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.4501309281670816 y[1] (closed_form) 0.19921970921020116 y[1] (numeric) 0.1992197092065575 absolute error 3.643668700092917e-12 relative error 1.8289699922452958e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.46002536222429874 y[1] (closed_form) 0.20791752454825785 y[1] (numeric) 0.20791752454461368 absolute error 3.644168300453998e-12 relative error 1.7526989648283271e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3978158706831965 Order of pole (three term test) 32.19711310150108 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4701176849626602 y[1] (closed_form) 0.21697003176826257 y[1] (numeric) 0.21697003176461802 absolute error 3.644556878512617e-12 relative error 1.6797512766211093e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.48001211901987734 y[1] (closed_form) 0.22602134719371947 y[1] (numeric) 0.22602134719007438 absolute error 3.645084234449314e-12 relative error 1.612716798526631e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.4901044417582388 y[1] (closed_form) 0.23543259839460307 y[1] (numeric) 0.23543259839095745 absolute error 3.645611590386011e-12 relative error 1.5484735823522987e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4153065495518348 Order of pole (three term test) 32.221577471812644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.49999887581545593 y[1] (closed_form) 0.24483379829480256 y[1] (numeric) 0.24483379829115653 absolute error 3.646027924020245e-12 relative error 1.4891848876314414e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.5100911985538173 y[1] (closed_form) 0.2546000340849882 y[1] (numeric) 0.2546000340813419 absolute error 3.646305479776402e-12 relative error 1.4321700674082493e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.5199856326110345 y[1] (closed_form) 0.26434736308341833 y[1] (numeric) 0.2643473630797712 absolute error 3.6471381470448705e-12 relative error 1.379676386593638e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.530077955349396 y[1] (closed_form) 0.27446468227019816 y[1] (numeric) 0.27446468226655046 absolute error 3.647693258557183e-12 relative error 1.3290209976692713e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.5401702780877574 y[1] (closed_form) 0.28475775432746087 y[1] (numeric) 0.2847577543238128 absolute error 3.648081836615802e-12 relative error 1.2811176451478273e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4410592341131681 Order of pole (three term test) 32.264487364260425 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500647121449745 y[1] (closed_form) 0.2950186078744954 y[1] (numeric) 0.2950186078708469 absolute error 3.648525925825652e-12 relative error 1.2367104407793084e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.560157034883336 y[1] (closed_form) 0.30565662839099506 y[1] (numeric) 0.3056566283873461 absolute error 3.648970015035502e-12 relative error 1.1938134743695956e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4501187451701141 Order of pole (three term test) 32.28229711820756 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700514689405531 y[1] (closed_form) 0.316253600485351 y[1] (numeric) 0.31625360048170154 absolute error 3.649469615396583e-12 relative error 1.1539693492171415e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.5801437916789146 y[1] (closed_form) 0.3272323200277373 y[1] (numeric) 0.32723232002408714 absolute error 3.6501357492113584e-12 relative error 1.1154569783638611e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.5900382257361317 y[1] (closed_form) 0.33816117763315046 y[1] (numeric) 0.3381611776294996 absolute error 3.650857394177365e-12 relative error 1.079620499233637e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (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] 0.6001305484744932 y[1] (closed_form) 0.34947621067341206 y[1] (numeric) 0.3494762106697606 absolute error 3.651468016840909e-12 relative error 1.0448402224016418e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46606669837723613 Order of pole (three term test) 32.31894141971862 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100249825317103 y[1] (closed_form) 0.360732588179578 y[1] (numeric) 0.36073258817592585 absolute error 3.652134150655684e-12 relative error 1.0124214640784264e-09% Desired digits 8 Estimated correct digits 10 Correct digits 11 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46955826772703185 Order of pole (three term test) 32.32820233763938 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6201173052700718 y[1] (closed_form) 0.37237941484687154 y[1] (numeric) 0.37237941484321874 absolute error 3.652800284470459e-12 relative error 9.80935072894013e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47293010452547674 Order of pole (three term test) 32.337709886419056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300117393272889 y[1] (closed_form) 0.3839588158133198 y[1] (numeric) 0.3839588158096663 absolute error 3.653521929436465e-12 relative error 9.515400555909626e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4760483397578913 Order of pole (three term test) 32.34710797803573 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6401040620656504 y[1] (closed_form) 0.3959327836994664 y[1] (numeric) 0.39593278369581225 absolute error 3.654132552100009e-12 relative error 9.229173997558348e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4790378793307643 Order of pole (three term test) 32.35673778046956 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6499984961228675 y[1] (closed_form) 0.4078305826516959 y[1] (numeric) 0.40783058264804123 absolute error 3.6546876636123216e-12 relative error 8.961288876007553e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 0.660090818861229 y[1] (closed_form) 0.42012690866961755 y[1] (numeric) 0.4201269086659622 absolute error 3.655353797427097e-12 relative error 8.700594325181919e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48437997604678207 Order of pole (three term test) 32.376004571500076 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6699852529184461 y[1] (closed_form) 0.4323383529467755 y[1] (numeric) 0.4323383529431197 absolute error 3.655797886636947e-12 relative error 8.455872262359769e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4867389239449265 Order of pole (three term test) 32.385608862770425 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800775756568076 y[1] (closed_form) 0.4449521252411338 y[1] (numeric) 0.44495212523747707 absolute error 3.656741576207878e-12 relative error 8.218280953768167e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48894843161350354 Order of pole (three term test) 32.395456901926956 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6901698983951691 y[1] (closed_form) 0.4577242855585705 y[1] (numeric) 0.457724285554913 absolute error 3.6574632211738844e-12 relative error 7.990537833732387e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4909593572338203 Order of pole (three term test) 32.40534111257678 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000643324523862 y[1] (closed_form) 0.4703985168037724 y[1] (numeric) 0.47039851680011396 absolute error 3.658462421896047e-12 relative error 7.777368106418118e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4927357085335824 Order of pole (three term test) 32.4150797704726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7101566551907477 y[1] (closed_form) 0.48348049291646256 y[1] (numeric) 0.48348049291280387 absolute error 3.658684466500972e-12 relative error 7.567387971396671e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4943495382765123 Order of pole (three term test) 32.42504274033119 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200510892479648 y[1] (closed_form) 0.49645591861449834 y[1] (numeric) 0.49645591861083876 absolute error 3.659572644920672e-12 relative error 7.37139493700418e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 0.7301434119863263 y[1] (closed_form) 0.5098424848335571 y[1] (numeric) 0.5098424848298966 absolute error 3.660516334491604e-12 relative error 7.17970048276109e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 0.7400378460435434 y[1] (closed_form) 0.523113921857866 y[1] (numeric) 0.5231139218542051 absolute error 3.660849401398991e-12 relative error 6.998187676591165e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4979441410157217 Order of pole (three term test) 32.454699479965264 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7501301687819049 y[1] (closed_form) 0.5367997308237116 y[1] (numeric) 0.5367997308200496 absolute error 3.661959624423616e-12 relative error 6.821835806073135e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 0.760024602839122 y[1] (closed_form) 0.5503618778038928 y[1] (numeric) 0.5503618778002302 absolute error 3.6626257582383914e-12 relative error 6.654940877906288e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49935601570712945 Order of pole (three term test) 32.474639886988555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7701169255774835 y[1] (closed_form) 0.5643414626222895 y[1] (numeric) 0.5643414626186258 absolute error 3.663624958960554e-12 relative error 6.491858567217482e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 0.7800113596347006 y[1] (closed_form) 0.5781889020617711 y[1] (numeric) 0.578188902058107 absolute error 3.664069048170404e-12 relative error 6.337148698469746e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999707577532985 Order of pole (three term test) 32.49461615178352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.790103682373062 y[1] (closed_form) 0.5924566784876185 y[1] (numeric) 0.5924566784839536 absolute error 3.664957226590104e-12 relative error 6.186034118048509e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 0.7999981164302792 y[1] (closed_form) 0.606583878927717 y[1] (numeric) 0.6065838789240513 absolute error 3.665734382707342e-12 relative error 6.043243993209001e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4997868667047728 Order of pole (three term test) 32.51459762730091 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100904391686407 y[1] (closed_form) 0.6211341475957171 y[1] (numeric) 0.6211341475920501 absolute error 3.6669556280344295e-12 relative error 5.903645198430102e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4993899585184121 Order of pole (three term test) 32.52468452679906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8199848732258578 y[1] (closed_form) 0.6355354658252166 y[1] (numeric) 0.6355354658215492 absolute error 3.66739971724428e-12 relative error 5.770566576457401e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4988041114524976 Order of pole (three term test) 32.53455848210921 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300771959642192 y[1] (closed_form) 0.6503624145265245 y[1] (numeric) 0.6503624145228567 absolute error 3.66784380645413e-12 relative error 5.639692153988304e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 0.8401695187025807 y[1] (closed_form) 0.6653268293679466 y[1] (numeric) 0.665326829364278 absolute error 3.668620962571367e-12 relative error 5.514013264813803e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 0.8500639527597978 y[1] (closed_form) 0.6801298038398533 y[1] (numeric) 0.680129803836184 absolute error 3.669287096386142e-12 relative error 5.394980598806592e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4958242511515056 Order of pole (three term test) 32.56448747213702 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8601562754981593 y[1] (closed_form) 0.6953619440528661 y[1] (numeric) 0.6953619440491963 absolute error 3.669842207898455e-12 relative error 5.277600017206936e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 0.8700507095553764 y[1] (closed_form) 0.7104244247392253 y[1] (numeric) 0.710424424735555 absolute error 3.670286297108305e-12 relative error 5.166328984895969e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 0.8801430322937379 y[1] (closed_form) 0.7259182057365208 y[1] (numeric) 0.7259182057328498 absolute error 3.67095243092308e-12 relative error 5.056978047820843e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 0.890037466350955 y[1] (closed_form) 0.7412341758217358 y[1] (numeric) 0.741234175818064 absolute error 3.67184060934278e-12 relative error 4.953684987975845e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48909006653358816 Order of pole (three term test) 32.60387765081401 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9001297890893165 y[1] (closed_form) 0.7569834085017247 y[1] (numeric) 0.7569834084980518 absolute error 3.672950832367405e-12 relative error 4.852088950849227e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 0.9100242231465336 y[1] (closed_form) 0.772546749912046 y[1] (numeric) 0.7725467499083724 absolute error 3.6736169661821805e-12 relative error 4.755203444452287e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48454830794921977 Order of pole (three term test) 32.62334045472415 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9201165458848951 y[1] (closed_form) 0.7885451431311377 y[1] (numeric) 0.7885451431274637 absolute error 3.673950033089568e-12 relative error 4.659149910556964e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.481960010655113 Order of pole (three term test) 32.63309956759258 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300109799421122 y[1] (closed_form) 0.8043496389785715 y[1] (numeric) 0.8043496389748966 absolute error 3.674838211509268e-12 relative error 4.5687074792199525e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4792320459072939 Order of pole (three term test) 32.642609648918345 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9401033026804737 y[1] (closed_form) 0.8205908020642169 y[1] (numeric) 0.8205908020605409 absolute error 3.675948434533893e-12 relative error 4.47963640987317e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47625689370176183 Order of pole (three term test) 32.652247440010576 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9499977367376908 y[1] (closed_form) 0.8366301391299052 y[1] (numeric) 0.8366301391262289 absolute error 3.676392523743743e-12 relative error 4.394286497456557e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4731505339888117 Order of pole (three term test) 32.66164527115536 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600900594760523 y[1] (closed_form) 0.8531075844333964 y[1] (numeric) 0.8531075844297189 absolute error 3.6775027467683685e-12 relative error 4.310713928549627e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46979179364634893 Order of pole (three term test) 32.67115792679159 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9699844935332694 y[1] (closed_form) 0.8693753556894781 y[1] (numeric) 0.8693753556858 absolute error 3.678057858280681e-12 relative error 4.2306902699855265e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4663131088621925 Order of pole (three term test) 32.680421701902624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800768162716309 y[1] (closed_form) 0.8860825011774858 y[1] (numeric) 0.8860825011738067 absolute error 3.679057059002844e-12 relative error 4.1520479798595123e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 0.9901691390099924 y[1] (closed_form) 0.9029031037450953 y[1] (numeric) 0.9029031037414151 absolute error 3.680167282027469e-12 relative error 4.075927158476622e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45865171373900016 Order of pole (three term test) 32.69909598650556 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000635730672094 y[1] (closed_form) 0.9195023802302429 y[1] (numeric) 0.9195023802265624 absolute error 3.6805003489348564e-12 relative error 4.00270888696695e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.0101558958055652 y[1] (closed_form) 0.9365426052414878 y[1] (numeric) 0.9365426052378159 absolute error 3.671951631645243e-12 relative error 3.9207523620331497e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4503290545353338 Order of pole (three term test) 32.71726460626418 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0200503298627768 y[1] (closed_form) 0.9533538717820318 y[1] (numeric) 0.9533538717783681 absolute error 3.6637359812630166e-12 relative error 3.8429969077638234e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4459413080889969 Order of pole (three term test) 32.726135750876765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0301426526011326 y[1] (closed_form) 0.9706069123972143 y[1] (numeric) 0.9706069123935595 absolute error 3.654854197066015e-12 relative error 3.7655348940790266e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4412870396497645 Order of pole (three term test) 32.73508732077639 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400370866583442 y[1] (closed_form) 0.9876234536125548 y[1] (numeric) 0.9876234536089088 absolute error 3.645972412869014e-12 relative error 3.6916624443584054e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4365481486424395 Order of pole (three term test) 32.743772616023314 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0501294093967 y[1] (closed_form) 1.0050824179812534 y[1] (numeric) 1.0050824179776165 absolute error 3.6368685840670878e-12 relative error 3.618477966584947e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4315394994062934 Order of pole (three term test) 32.752530592650984 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600238434539115 y[1] (closed_form) 1.0222974364923454 y[1] (numeric) 1.0222974364887176 absolute error 3.6277647552651615e-12 relative error 3.548639198111033e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4264581574879282 Order of pole (three term test) 32.76102133631155 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0701161661922673 y[1] (closed_form) 1.0399553505064234 y[1] (numeric) 1.0399553505028045 absolute error 3.6188829710681603e-12 relative error 3.479844561889975e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4211029402246177 Order of pole (three term test) 32.76957784164076 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.080010600249479 y[1] (closed_form) 1.0573619696510463 y[1] (numeric) 1.0573619696474361 absolute error 3.610223231476084e-12 relative error 3.4143683384674223e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4156858566013497 Order of pole (three term test) 32.77785421604428 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0901029229878347 y[1] (closed_form) 1.0752117797305085 y[1] (numeric) 1.0752117797269072 absolute error 3.6013414472790828e-12 relative error 3.349425215729802e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.0999973570450463 y[1] (closed_form) 1.0928030463101996 y[1] (numeric) 1.0928030463066072 absolute error 3.5924596630820815e-12 relative error 3.287380718064303e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.1100896797834021 y[1] (closed_form) 1.1108376222207959 y[1] (numeric) 1.1108376222172125 absolute error 3.5833558342801552e-12 relative error 3.2258142527764594e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3982288808496798 Order of pole (three term test) 32.80234443741277 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1199841138406137 y[1] (closed_form) 1.1286065092783537 y[1] (numeric) 1.12860650927478 absolute error 3.573807916268379e-12 relative error 3.16656681215982e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3921675642762927 Order of pole (three term test) 32.81017032005882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300764365789695 y[1] (closed_form) 1.146818646979801 y[1] (numeric) 1.1468186469762363 absolute error 3.5647040874664526e-12 relative error 3.108341582040249e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.1401687593173253 y[1] (closed_form) 1.165117684711804 y[1] (numeric) 1.1651176847082494 absolute error 3.5547120802448262e-12 relative error 3.0509468072524336e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3793303285603866 Order of pole (three term test) 32.82574268961057 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500631933745369 y[1] (closed_form) 1.1831404811299446 y[1] (numeric) 1.1831404811263988 absolute error 3.545830296047825e-12 relative error 2.9969647329296187e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37281051001425974 Order of pole (three term test) 32.83318567084668 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1601555161128927 y[1] (closed_form) 1.2016061061559635 y[1] (numeric) 1.201606106152427 absolute error 3.5365044226409736e-12 relative error 2.94314784564015e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36601004208267884 Order of pole (three term test) 32.84063907356771 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700499501701043 y[1] (closed_form) 1.2197886156548985 y[1] (numeric) 1.219788615651372 absolute error 3.5265124154193472e-12 relative error 2.8910848733622427e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35919786317943597 Order of pole (three term test) 32.84781487381592 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.18014227290846 y[1] (closed_form) 1.2384134517489995 y[1] (numeric) 1.2384134517454817 absolute error 3.517852675827271e-12 relative error 2.8406124552822334e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35210464282654114 Order of pole (three term test) 32.85499581438557 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900367069656717 y[1] (closed_form) 1.2567484111953169 y[1] (numeric) 1.2567484111918084 absolute error 3.5085268024204197e-12 relative error 2.7917495428407934e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3450110003304106 Order of pole (three term test) 32.86189145272169 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2001290297040275 y[1] (closed_form) 1.2755250185335667 y[1] (numeric) 1.2755250185300686 absolute error 3.4980907059889432e-12 relative error 2.7424712609797294e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3376361931214397 Order of pole (three term test) 32.86878449303014 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.210023463761239 y[1] (closed_form) 1.294005103896633 y[1] (numeric) 1.2940051038931435 absolute error 3.489430966396867e-12 relative error 2.696612985442759e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.2201157864995948 y[1] (closed_form) 1.3129259820289914 y[1] (numeric) 1.3129259820255104 absolute error 3.480993271409716e-12 relative error 2.6513248416564964e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3226293711251077 Order of pole (three term test) 32.88198043116773 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300102205568064 y[1] (closed_form) 1.331543811306588 y[1] (numeric) 1.331543811303117 absolute error 3.4710012641880894e-12 relative error 2.606749574978041e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.2401025432951622 y[1] (closed_form) 1.3506014021530124 y[1] (numeric) 1.350601402149551 absolute error 3.461453346176313e-12 relative error 2.5628977880952606e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3071062000213596 Order of pole (three term test) 32.8945689845285 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2499969773523738 y[1] (closed_form) 1.3693495383201295 y[1] (numeric) 1.369349538316677 absolute error 3.452571561979312e-12 relative error 2.521322325207636e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29923877581527814 Order of pole (three term test) 32.90056565914971 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2600893000907296 y[1] (closed_form) 1.3885362291897079 y[1] (numeric) 1.3885362291862653 absolute error 3.4425795547576854e-12 relative error 2.4792868074941277e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29109293937184805 Order of pole (three term test) 32.90652594514795 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2699837341479412 y[1] (closed_form) 1.4074071831693171 y[1] (numeric) 1.4074071831658836 absolute error 3.433475725955759e-12 relative error 2.439575246606296e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28299156875132775 Order of pole (three term test) 32.912208493385585 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.280076056886297 y[1] (closed_form) 1.4267153098012093 y[1] (numeric) 1.426715309797786 absolute error 3.4232616741292077e-12 relative error 2.399400672728595e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2746142447982284 Order of pole (three term test) 32.917833313684376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2901683796246528 y[1] (closed_form) 1.4460818278371317 y[1] (numeric) 1.4460818278337186 absolute error 3.4130476223026562e-12 relative error 2.360203659710921e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.266125074502313 Order of pole (three term test) 32.923292996455096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3000628136818644 y[1] (closed_form) 1.4651233930808112 y[1] (numeric) 1.4651233930774075 absolute error 3.403721748895805e-12 relative error 2.3231638816022012e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25769701721872923 Order of pole (three term test) 32.928475093634994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3101551364202202 y[1] (closed_form) 1.484599722088542 y[1] (numeric) 1.484599722085148 absolute error 3.3941738308840286e-12 relative error 2.2862551975350557e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.3200495704774318 y[1] (closed_form) 1.503745136645056 y[1] (numeric) 1.5037451366416719 absolute error 3.384181823662402e-12 relative error 2.2505022567938017e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2403680382364259 Order of pole (three term test) 32.93842799948404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3301418932157876 y[1] (closed_form) 1.5233234966657307 y[1] (numeric) 1.523323496662357 absolute error 3.3737457272309257e-12 relative error 2.2147270324493924e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.3400363272729992 y[1] (closed_form) 1.542565112762357 y[1] (numeric) 1.5425651127589932 absolute error 3.3637537200092993e-12 relative error 2.1806234901719246e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.350128650011355 y[1] (closed_form) 1.562237683080093 y[1] (numeric) 1.5622376830767386 absolute error 3.354427846602448e-12 relative error 2.1471942988783178e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21357378325510476 Order of pole (three term test) 32.952090580655465 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3600230840685665 y[1] (closed_form) 1.5815678145157182 y[1] (numeric) 1.5815678145123735 absolute error 3.3446578839857466e-12 relative error 2.1147736146931475e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.3701154068069223 y[1] (closed_form) 1.6013267367816564 y[1] (numeric) 1.6013267367783213 absolute error 3.3351099659739702e-12 relative error 2.0827167181863636e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19533606548661028 Order of pole (three term test) 32.960264599587695 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.380009840864134 y[1] (closed_form) 1.62073766199708 y[1] (numeric) 1.6207376619937555 absolute error 3.3244518249375687e-12 relative error 2.0511967500287276e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.3901021636024897 y[1] (closed_form) 1.6405750433684583 y[1] (numeric) 1.6405750433651431 absolute error 3.3151259515307174e-12 relative error 2.0207097291471904e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17678656684077942 Order of pole (three term test) 32.9677076138352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3999965976597013 y[1] (closed_form) 1.6600590085308284 y[1] (numeric) 1.6600590085275229 absolute error 3.305578033518941e-12 relative error 1.9912412851181814e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16749740691457085 Order of pole (three term test) 32.97110816231093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.410088920398057 y[1] (closed_form) 1.6799669248238338 y[1] (numeric) 1.6799669248205384 absolute error 3.2953639816923896e-12 relative error 1.961564798091457e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.4199833544552687 y[1] (closed_form) 1.699516146923969 y[1] (numeric) 1.699516146920684 absolute error 3.284927885260913e-12 relative error 1.9328606504895245e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.4300756771936245 y[1] (closed_form) 1.7194866457791105 y[1] (numeric) 1.7194866457758358 absolute error 3.2747138334343617e-12 relative error 1.9044718035309706e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13887026733969313 Order of pole (three term test) 32.98032747625252 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4401679999319803 y[1] (closed_form) 1.7394857160733328 y[1] (numeric) 1.7394857160700683 absolute error 3.2644997816078103e-12 relative error 1.8767039886806328e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1291474524237031 Order of pole (three term test) 32.98303115801108 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4500624339891919 y[1] (closed_form) 1.7591184197992127 y[1] (numeric) 1.759118419795957 absolute error 3.255617997410809e-12 relative error 1.8507099697031245e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.4601547567275477 y[1] (closed_form) 1.7791680586378096 y[1] (numeric) 1.7791680586345644 absolute error 3.2451819009793326e-12 relative error 1.8239884002099003e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.4700491907847593 y[1] (closed_form) 1.7988464156886677 y[1] (numeric) 1.7988464156854327 absolute error 3.234967849152781e-12 relative error 1.7983568919163734e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.480141513523115 y[1] (closed_form) 1.8189386141000634 y[1] (numeric) 1.8189386140968387 absolute error 3.2247537973262297e-12 relative error 1.7728766503325383e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.4900359475803266 y[1] (closed_form) 1.8386547638154895 y[1] (numeric) 1.8386547638122746 absolute error 3.2149838347095283e-12 relative error 1.7485522013050158e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08040970313351575 Order of pole (three term test) 32.993489567982586 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5001282703186825 y[1] (closed_form) 1.8587814958273827 y[1] (numeric) 1.8587814958241784 absolute error 3.204325693673127e-12 relative error 1.7238850832474067e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07043297014902372 Order of pole (three term test) 32.99501702908043 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.510022704375894 y[1] (closed_form) 1.8785275624504152 y[1] (numeric) 1.8785275624472209 absolute error 3.1943336864515004e-12 relative error 1.7004454713907435e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06062406571221625 Order of pole (three term test) 32.99631385905161 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5201150271142498 y[1] (closed_form) 1.8986807882958114 y[1] (numeric) 1.8986807882926275 absolute error 3.183897590020024e-12 relative error 1.6768998820901209e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.050594549877903044 Order of pole (three term test) 32.99743523575373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5300094611714614 y[1] (closed_form) 1.9184488841189662 y[1] (numeric) 1.918448884115792 absolute error 3.1741276274033225e-12 relative error 1.6545281209621688e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.5401017839098172 y[1] (closed_form) 1.9386205534477194 y[1] (numeric) 1.9386205534445549 absolute error 3.1645797093915462e-12 relative error 1.632387371403616e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.5499962179670288 y[1] (closed_form) 1.958402781963792 y[1] (numeric) 1.958402781960638 absolute error 3.1539215683551447e-12 relative error 1.6104560294754812e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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] 1.5600885407053846 y[1] (closed_form) 1.9785848370583747 y[1] (numeric) 1.9785848370552306 absolute error 3.1441516057384433e-12 relative error 1.5890911255607082e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.0001978886811443317 NO POLE (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 SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 1.5700928170837858 y[1] (closed_form) 1.9985929806938398 y[1] (numeric) 1.998592980690705 absolute error 3.134825732331592e-12 relative error 1.5685163325467564e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.5800826358614224 y[1] (closed_form) 2.018572351197589 y[1] (numeric) 2.018572351194444 absolute error 3.1450397841581434e-12 relative error 1.5580515517772935e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.590072454639059 y[1] (closed_form) 2.0385498682614918 y[1] (numeric) 2.038549868258337 absolute error 3.154809746774845e-12 relative error 1.5475754583650766e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.6000622734166956 y[1] (closed_form) 2.058523538216262 y[1] (numeric) 2.058523538213099 absolute error 3.162803352552146e-12 relative error 1.536442646311811e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.6100520921943322 y[1] (closed_form) 2.0784913677765386 y[1] (numeric) 2.0784913677733683 absolute error 3.170352869119597e-12 relative error 1.525314426737829e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.6200419109719688 y[1] (closed_form) 2.098451364239806 y[1] (numeric) 2.0984513642366265 absolute error 3.1796787425264483e-12 relative error 1.515250149091891e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.6300317297496054 y[1] (closed_form) 2.1184015356852584 y[1] (numeric) 2.11840153568207 absolute error 3.1885605267234496e-12 relative error 1.5051728735138106e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.640021548527242 y[1] (closed_form) 2.138339891172582 y[1] (numeric) 2.1383398911693856 absolute error 3.1965541325007507e-12 relative error 1.494876537493712e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.6500113673048786 y[1] (closed_form) 2.1582644409406466 y[1] (numeric) 2.1582644409374416 absolute error 3.204991827487902e-12 relative error 1.4849856980876057e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.6600011860825152 y[1] (closed_form) 2.178173196606071 y[1] (numeric) 2.178173196602858 absolute error 3.212985433265203e-12 relative error 1.4750826234899632e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.6699910048601518 y[1] (closed_form) 2.1980641713616587 y[1] (numeric) 2.1980641713584372 absolute error 3.2214231282523542e-12 relative error 1.465572830049245e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.680121525310713 y[1] (closed_form) 2.218215105687606 y[1] (numeric) 2.218215105684377 absolute error 3.2289726448198053e-12 relative error 1.4556625444216703e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.6901113440883495 y[1] (closed_form) 2.2380642450221364 y[1] (numeric) 2.2380642450188986 absolute error 3.2378544290168065e-12 relative error 1.4467209492392304e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.7001011628659861 y[1] (closed_form) 2.257889626580768 y[1] (numeric) 2.257889626577522 absolute error 3.2462921240039577e-12 relative error 1.4377550106025225e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.7100909816436227 y[1] (closed_form) 2.2776892718766755 y[1] (numeric) 2.2776892718734203 absolute error 3.255173908200959e-12 relative error 1.4291562718381233e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.7200808004212593 y[1] (closed_form) 2.297461204991401 y[1] (numeric) 2.297461204988138 absolute error 3.26272342476841e-12 relative error 1.4201429898706917e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.730070619198896 y[1] (closed_form) 2.317203452772042 y[1] (numeric) 2.3172034527687724 absolute error 3.269828852126011e-12 relative error 1.411109951616184e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.7400604379765325 y[1] (closed_form) 2.3369140450281645 y[1] (numeric) 2.336914045024886 absolute error 3.2782665471131622e-12 relative error 1.402818624881709e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.7500502567541691 y[1] (closed_form) 2.356591014728415 y[1] (numeric) 2.356591014725127 absolute error 3.2875924205200135e-12 relative error 1.3950627834753464e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.7600400755318057 y[1] (closed_form) 2.3762323981968283 y[1] (numeric) 2.3762323981935327 absolute error 3.2955860262973147e-12 relative error 1.386895502644491e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.7700298943094424 y[1] (closed_form) 2.3958362353087868 y[1] (numeric) 2.3958362353054827 absolute error 3.304023721284466e-12 relative error 1.3790691002127814e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.780019713087079 y[1] (closed_form) 2.41540056968664 y[1] (numeric) 2.4154005696833263 absolute error 3.3137936839011672e-12 relative error 1.3719437369889664e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.7900095318647156 y[1] (closed_form) 2.434923448894934 y[1] (numeric) 2.4349234488916114 absolute error 3.3226754680981685e-12 relative error 1.3645913466421837e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.7999993506423522 y[1] (closed_form) 2.4544029246352643 y[1] (numeric) 2.454402924631932 absolute error 3.33244543071487e-12 relative error 1.357741794253316e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.8099891694199888 y[1] (closed_form) 2.473837052940701 y[1] (numeric) 2.473837052937358 absolute error 3.3431035717512714e-12 relative error 1.3513839029038938e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.8201196898705498 y[1] (closed_form) 2.493496601496311 y[1] (numeric) 2.493496601492959 absolute error 3.3519853559482726e-12 relative error 1.344291126740175e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.8301095086481864 y[1] (closed_form) 2.5128335142712936 y[1] (numeric) 2.5128335142679337 absolute error 3.3599789617255738e-12 relative error 1.3371275664078155e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.840099327425823 y[1] (closed_form) 2.5321192484927524 y[1] (numeric) 2.5321192484893866 absolute error 3.3657521214536246e-12 relative error 1.3292233860854275e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.8500891462034597 y[1] (closed_form) 2.5513518795283208 y[1] (numeric) 2.5513518795249457 absolute error 3.375077994860476e-12 relative error 1.3228586859937332e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.8600789649810963 y[1] (closed_form) 2.5705294880450964 y[1] (numeric) 2.570529488041713 absolute error 3.383515689847627e-12 relative error 1.3162718831211742e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.8700687837587329 y[1] (closed_form) 2.5896501602011854 y[1] (numeric) 2.589650160197796 absolute error 3.389288849575678e-12 relative error 1.3087825149758336e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.8800586025363695 y[1] (closed_form) 2.6087119878366964 y[1] (numeric) 2.608711987833299 absolute error 3.397282455352979e-12 relative error 1.3022834529810296e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.890048421314006 y[1] (closed_form) 2.627713068664164 y[1] (numeric) 2.6277130686607584 absolute error 3.4057201503401302e-12 relative error 1.2960776391280336e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.9000382400916427 y[1] (closed_form) 2.64665150645839 y[1] (numeric) 2.646651506454977 absolute error 3.4132696669075813e-12 relative error 1.2896558759543825e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.9100280588692793 y[1] (closed_form) 2.66552541124568 y[1] (numeric) 2.6655254112422586 absolute error 3.4212632726848824e-12 relative error 1.2835230376160713e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.920017877646916 y[1] (closed_form) 2.68433289949245 y[1] (numeric) 2.68433289948902 absolute error 3.4297009676720336e-12 relative error 1.277673483911223e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.9300076964245525 y[1] (closed_form) 2.7030720942931987 y[1] (numeric) 2.7030720942897606 absolute error 3.4381386626591848e-12 relative error 1.2719374632729475e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.939997515202189 y[1] (closed_form) 2.7217411255578154 y[1] (numeric) 2.72174112555437 absolute error 3.4452440900167858e-12 relative error 1.2658235780269845e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.9499873339798257 y[1] (closed_form) 2.7403381301982046 y[1] (numeric) 2.7403381301947505 absolute error 3.454125874213787e-12 relative error 1.2604743320357898e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.9601178544303868 y[1] (closed_form) 2.759121604858885 y[1] (numeric) 2.7591216048554235 absolute error 3.461675390781238e-12 relative error 1.2546295113216966e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.9701076732080234 y[1] (closed_form) 2.77756791612386 y[1] (numeric) 2.77756791612039 absolute error 3.4696689965585392e-12 relative error 1.2491752141926084e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.98009749198566 y[1] (closed_form) 2.795936629493795 y[1] (numeric) 2.7959366294903147 absolute error 3.4803271375949407e-12 relative error 1.244780407710834e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 1.9900873107632966 y[1] (closed_form) 2.814225911851013 y[1] (numeric) 2.814225911847524 absolute error 3.488764832582092e-12 relative error 1.2396889737566988e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.000077129540933 y[1] (closed_form) 2.8324339380047077 y[1] (numeric) 2.832433938001209 absolute error 3.4985347951987933e-12 relative error 1.2351690707615643e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.010066948318554 y[1] (closed_form) 2.8505588908730584 y[1] (numeric) 2.8505588908695785 absolute error 3.4798830483850907e-12 relative error 1.2207721999805047e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.020056767096175 y[1] (closed_form) 2.8685989616646532 y[1] (numeric) 2.8685989616611933 absolute error 3.459899033941838e-12 relative error 1.2061285248231604e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.0300465858737957 y[1] (closed_form) 2.886552350058915 y[1] (numeric) 2.8865523500554766 absolute error 3.438582751869035e-12 relative error 1.1912421237740077e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.0400364046514166 y[1] (closed_form) 2.9044172643857937 y[1] (numeric) 2.9044172643823765 absolute error 3.417266469796232e-12 relative error 1.1765755945948392e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.0500262234290374 y[1] (closed_form) 2.922191921804564 y[1] (numeric) 2.922191921801167 absolute error 3.396838366143129e-12 relative error 1.1624282241001654e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.0600160422066582 y[1] (closed_form) 2.9398745484817486 y[1] (numeric) 2.93987454847837 absolute error 3.3786307085392764e-12 relative error 1.1492431574279646e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.070005860984279 y[1] (closed_form) 2.9574633797681367 y[1] (numeric) 2.9574633797647785 absolute error 3.3582026048861735e-12 relative error 1.1355009931346823e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.0799956797619 y[1] (closed_form) 2.9749566603748914 y[1] (numeric) 2.974956660371554 absolute error 3.3373304120232206e-12 relative error 1.121808077567982e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.090126200212445 y[1] (closed_form) 2.992596955238624 y[1] (numeric) 2.992596955235308 absolute error 3.3160141299504176e-12 relative error 1.108072413208081e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.100116018990066 y[1] (closed_form) 3.0098924997617003 y[1] (numeric) 3.0098924997584042 absolute error 3.2960301155071647e-12 relative error 1.0950657260244738e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.1101058377676867 y[1] (closed_form) 3.027087261407072 y[1] (numeric) 3.027087261403793 absolute error 3.2787106363230123e-12 relative error 1.0831239251421445e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.1200956565453075 y[1] (closed_form) 3.0441795242123364 y[1] (numeric) 3.044179524209075 absolute error 3.26139115713886e-12 relative error 1.0713530957024375e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.1300854753229284 y[1] (closed_form) 3.06116758244403 y[1] (numeric) 3.061167582440788 absolute error 3.242295321115307e-12 relative error 1.0591694945778385e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.140075294100549 y[1] (closed_form) 3.0780497407678524 y[1] (numeric) 3.0780497407646283 absolute error 3.2240876635114546e-12 relative error 1.047444952175195e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.15006511287817 y[1] (closed_form) 3.0948243144178518 y[1] (numeric) 3.0948243144146472 absolute error 3.204547738278052e-12 relative error 1.0354538457478933e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.160054931655791 y[1] (closed_form) 3.11148962936456 y[1] (numeric) 3.111489629361375 absolute error 3.185007813044649e-12 relative error 1.023627970019975e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.1700447504334117 y[1] (closed_form) 3.128044022482051 y[1] (numeric) 3.1280440224788855 absolute error 3.1654678878112463e-12 relative error 1.0119639829427657e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.1800345692110326 y[1] (closed_form) 3.144485841713916 y[1] (numeric) 3.1444858417107686 absolute error 3.1472602302073938e-12 relative error 1.000882302746183e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 2.1900243879886534 y[1] (closed_form) 3.16081344623813 y[1] (numeric) 3.1608134462350006 absolute error 3.1294966618133913e-12 relative error 9.900921756511727e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.2000142067662742 y[1] (closed_form) 3.1770252066307973 y[1] (numeric) 3.1770252066276874 absolute error 3.1099567365799885e-12 relative error 9.788895379517828e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.210004025543895 y[1] (closed_form) 3.193119505028765 y[1] (numeric) 3.1931195050256735 absolute error 3.091304989766286e-12 relative error 9.681144050192503e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.219993844321516 y[1] (closed_form) 3.2090947352910737 y[1] (numeric) 3.2090947352880033 absolute error 3.070432796903333e-12 relative error 9.567909489044225e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.230124364772061 y[1] (closed_form) 3.2251717376285063 y[1] (numeric) 3.2251717376254554 absolute error 3.05089287166993e-12 relative error 9.45962919144664e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.240114183549682 y[1] (closed_form) 3.2409023278895646 y[1] (numeric) 3.240902327886534 absolute error 3.0304647680168273e-12 relative error 9.350682191000271e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.2501040023273027 y[1] (closed_form) 3.256509081497133 y[1] (numeric) 3.2565090814941198 absolute error 3.013145288832675e-12 relative error 9.252685048393678e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.2600938211049235 y[1] (closed_form) 3.2719904409651024 y[1] (numeric) 3.271990440962108 absolute error 2.9944935420189722e-12 relative error 9.15190186538479e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.2700836398825444 y[1] (closed_form) 3.287344861321154 y[1] (numeric) 3.287344861318178 absolute error 2.9758417952052696e-12 relative error 9.052417439432582e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.280073458660165 y[1] (closed_form) 3.3025708102609386 y[1] (numeric) 3.3025708102579814 absolute error 2.957190048391567e-12 relative error 8.95420633890335e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.290063277437786 y[1] (closed_form) 3.3176667683009953 y[1] (numeric) 3.317666768298055 absolute error 2.9403146584172646e-12 relative error 8.862597915230119e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.300053096215407 y[1] (closed_form) 3.332631228930392 y[1] (numeric) 3.332631228927468 absolute error 2.9238833576528123e-12 relative error 8.773498046440717e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.3100429149930277 y[1] (closed_form) 3.3474626987610625 y[1] (numeric) 3.3474626987581564 absolute error 2.9061197892588098e-12 relative error 8.681559888133782e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.3200327337706486 y[1] (closed_form) 3.362159697676846 y[1] (numeric) 3.3621596976739583 absolute error 2.887912131654957e-12 relative error 8.589455562299494e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.3300225525482694 y[1] (closed_form) 3.376720758981195 y[1] (numeric) 3.3767207589783226 absolute error 2.872369009310205e-12 relative error 8.506385971272437e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.3400123713258902 y[1] (closed_form) 3.391144429543539 y[1] (numeric) 3.391144429540685 absolute error 2.8541613517063524e-12 relative error 8.416513690307591e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.350002190103511 y[1] (closed_form) 3.405429269944313 y[1] (numeric) 3.4054292699414748 absolute error 2.83817414015175e-12 relative error 8.334262482562621e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.359992008881132 y[1] (closed_form) 3.4195738546185925 y[1] (numeric) 3.41957385461577 absolute error 2.822631017806998e-12 relative error 8.254335592122558e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.370122529331677 y[1] (closed_form) 3.433772977761535 y[1] (numeric) 3.4337729777587285 absolute error 2.8066438062523957e-12 relative error 8.173644048192251e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.380112348109298 y[1] (closed_form) 3.447630805509074 y[1] (numeric) 3.4476308055062836 absolute error 2.7902125054879434e-12 relative error 8.093130218668943e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.3901021668869187 y[1] (closed_form) 3.461344166000477 y[1] (numeric) 3.4613441659977027 absolute error 2.774225293933341e-12 relative error 8.01487850062281e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.4000919856645395 y[1] (closed_form) 3.4749116907020303 y[1] (numeric) 3.474911690699272 absolute error 2.758238082378739e-12 relative error 7.937577492282967e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.4100818044421604 y[1] (closed_form) 3.488332025633797 y[1] (numeric) 3.4883320256310557 absolute error 2.7413626924044365e-12 relative error 7.858663316048181e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.420071623219781 y[1] (closed_form) 3.501603831504741 y[1] (numeric) 3.501603831502012 absolute error 2.7289281945286348e-12 relative error 7.793366485311204e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.430061441997402 y[1] (closed_form) 3.5147257838463766 y[1] (numeric) 3.5147257838436614 absolute error 2.715161429023283e-12 relative error 7.725101746207688e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.440051260775023 y[1] (closed_form) 3.5276965731449508 y[1] (numeric) 3.52769657314225 absolute error 2.700950574308081e-12 relative error 7.656414088641916e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.4500410795526437 y[1] (closed_form) 3.540514904972123 y[1] (numeric) 3.5405149049694393 absolute error 2.6836310951239284e-12 relative error 7.579776295688433e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.4600308983302646 y[1] (closed_form) 3.5531795001141475 y[1] (numeric) 3.5531795001114785 absolute error 2.6689761511988763e-12 relative error 7.511515112346939e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.4700207171078854 y[1] (closed_form) 3.565689094699529 y[1] (numeric) 3.565689094696874 absolute error 2.6552093856935244e-12 relative error 7.446553289350293e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.4800105358855062 y[1] (closed_form) 3.578042440325154 y[1] (numeric) 3.578042440322513 absolute error 2.6409985309783224e-12 relative error 7.381126901161972e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.490000354663127 y[1] (closed_form) 3.5902383041808745 y[1] (numeric) 3.5902383041782477 absolute error 2.6267876762631204e-12 relative error 7.316471648147131e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.499990173440748 y[1] (closed_form) 3.6022754691725387 y[1] (numeric) 3.6022754691699266 absolute error 2.6121327323380683e-12 relative error 7.251340866882922e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.510120693891293 y[1] (closed_form) 3.6143188718451738 y[1] (numeric) 3.614318871842576 absolute error 2.5979218776228663e-12 relative error 7.187860201987605e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.520110512668914 y[1] (closed_form) 3.626032774099432 y[1] (numeric) 3.626032774096848 absolute error 2.5841551121175144e-12 relative error 7.126673345525179e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.5301003314465347 y[1] (closed_form) 3.63758440535727 y[1] (numeric) 3.637584405354699 absolute error 2.5708324358220125e-12 relative error 7.067416585676491e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.5400901502241555 y[1] (closed_form) 3.6489726128161433 y[1] (numeric) 3.648972612813584 absolute error 2.559286116365911e-12 relative error 7.013716977148666e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.5500799690017764 y[1] (closed_form) 3.660196259982496 y[1] (numeric) 3.66019625997995 absolute error 2.545963440070409e-12 relative error 6.955811271395005e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.560069787779397 y[1] (closed_form) 3.671254226785172 y[1] (numeric) 3.6712542267826396 absolute error 2.532640763774907e-12 relative error 6.898570916982447e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.570059606557018 y[1] (closed_form) 3.6821454096871955 y[1] (numeric) 3.682145409684675 absolute error 2.5206503551089554e-12 relative error 6.845602426448142e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.580049425334639 y[1] (closed_form) 3.6928687217958958 y[1] (numeric) 3.692868721793387 absolute error 2.5086599464430037e-12 relative error 6.7932551504918e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.5900392441122597 y[1] (closed_form) 3.70342309297138 y[1] (numeric) 3.703423092968883 absolute error 2.496669537777052e-12 relative error 6.741518522459422e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.6000290628898806 y[1] (closed_form) 3.7138074699333226 y[1] (numeric) 3.7138074699308365 absolute error 2.4860113967406505e-12 relative error 6.69396950937062e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.6100188816675014 y[1] (closed_form) 3.7240208163660844 y[1] (numeric) 3.7240208163636077 absolute error 2.4766855233337992e-12 relative error 6.650568419084617e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.6200087004451222 y[1] (closed_form) 3.7340621130221257 y[1] (numeric) 3.734062113019661 absolute error 2.4646951146678475e-12 relative error 6.600573423973045e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.629998519222743 y[1] (closed_form) 3.743930357823727 y[1] (numeric) 3.7439303578212755 absolute error 2.4513724383723456e-12 relative error 6.547590911379239e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.639988338000364 y[1] (closed_form) 3.7536245659629923 y[1] (numeric) 3.7536245659605507 absolute error 2.4416024757556443e-12 relative error 6.504652857122516e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.650118858450909 y[1] (closed_form) 3.7632765889397426 y[1] (numeric) 3.763276588937313 absolute error 2.4296120670896926e-12 relative error 6.456108153810205e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.66010867722853 y[1] (closed_form) 3.772617353973043 y[1] (numeric) 3.7726173539706247 absolute error 2.418509836843441e-12 relative error 6.410694777450579e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.6700984960061507 y[1] (closed_form) 3.7817812195066 y[1] (numeric) 3.781781219504192 absolute error 2.4078516958070395e-12 relative error 6.366977770652703e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.6800883147837715 y[1] (closed_form) 3.7907672710265032 y[1] (numeric) 3.790767271024106 absolute error 2.397193554770638e-12 relative error 6.323768734347812e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.6900781335613924 y[1] (closed_form) 3.799574611763907 y[1] (numeric) 3.7995746117615212 absolute error 2.3856472353145364e-12 relative error 6.27872190725853e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.700067952339013 y[1] (closed_form) 3.808202362784524 y[1] (numeric) 3.8082023627821484 absolute error 2.375433183487985e-12 relative error 6.23767583020743e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.710057771116634 y[1] (closed_form) 3.8166496630763405 y[1] (numeric) 3.816649663073974 absolute error 2.3665513992909837e-12 relative error 6.200598976075442e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.720047589894255 y[1] (closed_form) 3.824915669635537 y[1] (numeric) 3.8249156696331816 absolute error 2.355449169044732e-12 relative error 6.158172813439243e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.7300374086718757 y[1] (closed_form) 3.8329995575506244 y[1] (numeric) 3.8329995575482774 absolute error 2.347011474057581e-12 relative error 6.123171784442824e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.7400272274494966 y[1] (closed_form) 3.840900520084759 y[1] (numeric) 3.840900520082422 absolute error 2.3367974222310295e-12 relative error 6.083983196158027e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.7500170462271174 y[1] (closed_form) 3.8486177687562533 y[1] (numeric) 3.848617768753927 absolute error 2.326139281194628e-12 relative error 6.044090166809056e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.7600068650047382 y[1] (closed_form) 3.856150533417267 y[1] (numeric) 3.856150533414952 absolute error 2.3150370509483764e-12 relative error 6.003492423042994e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.769996683782359 y[1] (closed_form) 3.8634980623306605 y[1] (numeric) 3.8634980623283544 absolute error 2.306155266751375e-12 relative error 5.969086122331801e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.77998650255998 y[1] (closed_form) 3.8706596222450136 y[1] (numeric) 3.870659622242716 absolute error 2.297717571764224e-12 relative error 5.936242904333524e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.790117023010525 y[1] (closed_form) 3.8777313996113394 y[1] (numeric) 3.87773139960905 absolute error 2.2892798767770728e-12 relative error 5.903657682444237e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.800106841788146 y[1] (closed_form) 3.8845162520474945 y[1] (numeric) 3.8845162520452132 absolute error 2.2812862709997717e-12 relative error 5.872767992146578e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.8100966605657667 y[1] (closed_form) 3.8911130379607215 y[1] (numeric) 3.8911130379584478 absolute error 2.2737367544323206e-12 relative error 5.843409667748832e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.8200864793433875 y[1] (closed_form) 3.8975210990204863 y[1] (numeric) 3.8975210990182165 absolute error 2.26973995154367e-12 relative error 5.823547567488716e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.8300762981210084 y[1] (closed_form) 3.903739795730175 y[1] (numeric) 3.903739795727913 absolute error 2.261746345766369e-12 relative error 5.793793808286652e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.840066116898629 y[1] (closed_form) 3.909768507490913 y[1] (numeric) 3.909768507488658 absolute error 2.255085007618618e-12 relative error 5.76782232323472e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.85005593567625 y[1] (closed_form) 3.9156066326634935 y[1] (numeric) 3.9156066326612473 absolute error 2.2462032234216167e-12 relative error 5.7365395305138025e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.860045754453871 y[1] (closed_form) 3.921253588628427 y[1] (numeric) 3.921253588626187 absolute error 2.239985974483716e-12 relative error 5.7124231418739136e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.8700355732314917 y[1] (closed_form) 3.926708811844075 y[1] (numeric) 3.9267088118418427 absolute error 2.2324364579162648e-12 relative error 5.6852610287337804e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.8800253920091126 y[1] (closed_form) 3.931971757902896 y[1] (numeric) 3.931971757900669 absolute error 2.226663298188214e-12 relative error 5.662968696844856e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.8900152107867334 y[1] (closed_form) 3.9370419015857694 y[1] (numeric) 3.9370419015835485 absolute error 2.220890138460163e-12 relative error 5.641012196404688e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.9000050295643542 y[1] (closed_form) 3.941918736914415 y[1] (numeric) 3.941918736912199 absolute error 2.2160051571518125e-12 relative error 5.621640893811062e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.909994848341975 y[1] (closed_form) 3.946601777201886 y[1] (numeric) 3.9466017771996746 absolute error 2.211564265053312e-12 relative error 5.6037178056036246e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.92012536879252 y[1] (closed_form) 3.951152387841158 y[1] (numeric) 3.9511523878389525 absolute error 2.205347016115411e-12 relative error 5.581528626691047e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.930115187570141 y[1] (closed_form) 3.9554437098864312 y[1] (numeric) 3.9554437098842303 absolute error 2.2009061240169103e-12 relative error 5.56424584811018e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.940105006347762 y[1] (closed_form) 3.959539887157069 y[1] (numeric) 3.959539887154874 absolute error 2.1951329642888595e-12 relative error 5.543909208766563e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.9500948251253827 y[1] (closed_form) 3.9634405108724033 y[1] (numeric) 3.963440510870215 absolute error 2.1884716261411086e-12 relative error 5.521646206465701e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.9600846439030035 y[1] (closed_form) 3.9671451917671563 y[1] (numeric) 3.9671451917649723 absolute error 2.184030734042608e-12 relative error 5.505295693676732e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.9700744626806244 y[1] (closed_form) 3.970653560130293 y[1] (numeric) 3.9706535601281123 absolute error 2.1804780203638074e-12 relative error 5.4914839266215345e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.980064281458245 y[1] (closed_form) 3.9739652658419145 y[1] (numeric) 3.973965265839738 absolute error 2.176481217475157e-12 relative error 5.4768501279641986e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 2.990054100235866 y[1] (closed_form) 3.9770799784081996 y[1] (numeric) 3.9770799784060262 absolute error 2.1733725930062064e-12 relative error 5.464744497987402e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.000043919013487 y[1] (closed_form) 3.979997386994385 y[1] (numeric) 3.979997386992217 absolute error 2.1680435224880057e-12 relative error 5.447349110259766e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.0100337377911077 y[1] (closed_form) 3.982717200455787 y[1] (numeric) 3.9827172004536227 absolute error 2.164490808809205e-12 relative error 5.43470876757581e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.0200235565687286 y[1] (closed_form) 3.9852391473668556 y[1] (numeric) 3.9852391473646933 absolute error 2.162270362759955e-12 relative error 5.425697888641437e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.0300133753463494 y[1] (closed_form) 3.9875629760482614 y[1] (numeric) 3.9875629760461027 absolute error 2.1587176490811544e-12 relative error 5.413626473231222e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.0400031941239702 y[1] (closed_form) 3.9896884545920113 y[1] (numeric) 3.989688454589855 absolute error 2.156053113822054e-12 relative error 5.4040638469916163e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.049993012901591 y[1] (closed_form) 3.9916153708845954 y[1] (numeric) 3.991615370882443 absolute error 2.1525004001432535e-12 relative error 5.392554643024713e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.060123533352136 y[1] (closed_form) 3.9933664526903483 y[1] (numeric) 3.993366452688198 absolute error 2.150279954094003e-12 relative error 5.384629684173738e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.070113352129757 y[1] (closed_form) 3.994892884496476 y[1] (numeric) 3.994892884494328 absolute error 2.148059508044753e-12 relative error 5.377014028038197e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.080103170907378 y[1] (closed_form) 3.996220234671976 y[1] (numeric) 3.996220234669828 absolute error 2.148059508044753e-12 relative error 5.3752280452608066e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.0900929896849987 y[1] (closed_form) 3.997348370753075 y[1] (numeric) 3.9973483707509287 absolute error 2.1462831512053526e-12 relative error 5.369267204501885e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.1000828084626195 y[1] (closed_form) 3.998277180156702 y[1] (numeric) 3.998277180154558 absolute error 2.1440627051561023e-12 relative error 5.362466403772615e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.1100726272402404 y[1] (closed_form) 3.9990065701917175 y[1] (numeric) 3.999006570189575 absolute error 2.142286348316702e-12 relative error 5.357046333169686e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.120062446017861 y[1] (closed_form) 3.999536468068171 y[1] (numeric) 3.999536468066029 absolute error 2.141842259106852e-12 relative error 5.355226227356767e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.130052264795482 y[1] (closed_form) 3.9998668209045585 y[1] (numeric) 3.999866820902418 absolute error 2.140509991477302e-12 relative error 5.351453154115845e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.140042083573103 y[1] (closed_form) 3.999997595733105 y[1] (numeric) 3.9999975957309646 absolute error 2.140509991477302e-12 relative error 5.351278195168507e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.1500319023507237 y[1] (closed_form) 3.999928779503052 y[1] (numeric) 3.99992877950091 absolute error 2.141842259106852e-12 relative error 5.354700988883489e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.1600217211283446 y[1] (closed_form) 3.999660379081959 y[1] (numeric) 3.9996603790798178 absolute error 2.141398169897002e-12 relative error 5.3539500030963037e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.1700115399059654 y[1] (closed_form) 3.999192421255021 y[1] (numeric) 3.999192421252878 absolute error 2.142730437526552e-12 relative error 5.357907826936028e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.1800013586835862 y[1] (closed_form) 3.9985249527223914 y[1] (numeric) 3.9985249527202495 absolute error 2.141842259106852e-12 relative error 5.356580950304139e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.189991177461207 y[1] (closed_form) 3.997658040094529 y[1] (numeric) 3.997658040092385 absolute error 2.1440627051561023e-12 relative error 5.363296919476894e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.200121697911752 y[1] (closed_form) 3.996575328781704 y[1] (numeric) 3.9965753287795582 absolute error 2.1458390619955026e-12 relative error 5.3691945865302364e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.210111516689373 y[1] (closed_form) 3.9953070019014447 y[1] (numeric) 3.995307001899298 absolute error 2.1467272404152027e-12 relative error 5.373122114004088e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.220101335466994 y[1] (closed_form) 3.9938395520634433 y[1] (numeric) 3.9938395520612935 absolute error 2.149835864884153e-12 relative error 5.382879900053637e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.2300911542446147 y[1] (closed_form) 3.9921731257128075 y[1] (numeric) 3.992173125710656 absolute error 2.1516122217235534e-12 relative error 5.389576438620458e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.2400809730222355 y[1] (closed_form) 3.9903078891516373 y[1] (numeric) 3.9903078891494848 absolute error 2.1525004001432535e-12 relative error 5.3943215910612044e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.2500707917998564 y[1] (closed_form) 3.988244028522427 y[1] (numeric) 3.988244028520273 absolute error 2.1538326677728037e-12 relative error 5.4004535639479413e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.260060610577477 y[1] (closed_form) 3.985981749789488 y[1] (numeric) 3.985981749787331 absolute error 2.156941292241754e-12 relative error 5.4113175313852576e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.270050429355098 y[1] (closed_form) 3.9835212787183947 y[1] (numeric) 3.983521278716235 absolute error 2.1596058275008545e-12 relative error 5.4213487926833855e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.280040248132719 y[1] (closed_form) 3.9808628608534553 y[1] (numeric) 3.980862860851294 absolute error 2.1613821843402548e-12 relative error 5.429431406930901e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.2900300669103397 y[1] (closed_form) 3.978006761493207 y[1] (numeric) 3.9780067614910415 absolute error 2.1653789872289053e-12 relative error 5.443376839349807e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.3000198856879606 y[1] (closed_form) 3.974953265663939 y[1] (numeric) 3.97495326566177 absolute error 2.168931700907706e-12 relative error 5.456496104352129e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.3100097044655814 y[1] (closed_form) 3.971702678091251 y[1] (numeric) 3.9717026780890796 absolute error 2.171596236166806e-12 relative error 5.4676706998884596e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.3199995232432022 y[1] (closed_form) 3.9682553231696396 y[1] (numeric) 3.9682553231674644 absolute error 2.1751489498456067e-12 relative error 5.4813734820576234e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.329989342020823 y[1] (closed_form) 3.964611544930129 y[1] (numeric) 3.9646115449279495 absolute error 2.1795898419441073e-12 relative error 5.4976126090621055e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.340119862471368 y[1] (closed_form) 3.9607162264472846 y[1] (numeric) 3.9607162264451015 absolute error 2.183142555622908e-12 relative error 5.5119893241661516e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.350109681248989 y[1] (closed_form) 3.956677958860949 y[1] (numeric) 3.956677958858761 absolute error 2.1880275369312585e-12 relative error 5.529961143365707e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.36009950002661 y[1] (closed_form) 3.9524444233273 y[1] (numeric) 3.9524444233251077 absolute error 2.192468429029759e-12 relative error 5.54712019754111e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.3700893188042307 y[1] (closed_form) 3.948016042334766 y[1] (numeric) 3.948016042332568 absolute error 2.19779749954796e-12 relative error 5.5668403471031314e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.3800791375818515 y[1] (closed_form) 3.9433932578165036 y[1] (numeric) 3.943393257814299 absolute error 2.204458837695711e-12 relative error 5.5902586771585185e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.3900689563594724 y[1] (closed_form) 3.9385765311062952 y[1] (numeric) 3.9385765311040837 absolute error 2.211564265053312e-12 relative error 5.61513594464067e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.400058775137093 y[1] (closed_form) 3.93356634289251 y[1] (numeric) 3.933566342890295 absolute error 2.2146728895222623e-12 relative error 5.63019076447996e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.410048593914714 y[1] (closed_form) 3.9283631931701333 y[1] (numeric) 3.928363193167914 absolute error 2.219113781620763e-12 relative error 5.6489526871622314e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.420038412692335 y[1] (closed_form) 3.9229676011908703 y[1] (numeric) 3.9229676011886454 absolute error 2.2248869413488137e-12 relative error 5.671438481096349e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.4300282314699557 y[1] (closed_form) 3.9173801054113255 y[1] (numeric) 3.9173801054090958 absolute error 2.2297719226571644e-12 relative error 5.691997872703338e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.4400180502475766 y[1] (closed_form) 3.9116012634392687 y[1] (numeric) 3.9116012634370336 absolute error 2.235100993175365e-12 relative error 5.714030757854282e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.4500078690251974 y[1] (closed_form) 3.905631651977986 y[1] (numeric) 3.905631651975745 absolute error 2.240874152903416e-12 relative error 5.737546068299957e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.4599976878028182 y[1] (closed_form) 3.899471866768728 y[1] (numeric) 3.8994718667664814 absolute error 2.2466473126314668e-12 relative error 5.761414338637443e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.469987506580439 y[1] (closed_form) 3.893122522531262 y[1] (numeric) 3.8931225225290076 absolute error 2.254196829198918e-12 relative error 5.7902026359377614e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.480118027030984 y[1] (closed_form) 3.886490818504628 y[1] (numeric) 3.886490818502366 absolute error 2.261746345766369e-12 relative error 5.819507754907297e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.490107845808605 y[1] (closed_form) 3.879761628994359 y[1] (numeric) 3.8797616289920898 absolute error 2.26929586233382e-12 relative error 5.849060017952767e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.500097664586226 y[1] (closed_form) 3.872844847451855 y[1] (numeric) 3.8728448474495765 absolute error 2.2786217357406713e-12 relative error 5.883586421593663e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.5100874833638467 y[1] (closed_form) 3.8657411641418236 y[1] (numeric) 3.8657411641395365 absolute error 2.2870594307278225e-12 relative error 5.916224945276539e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.5200773021414675 y[1] (closed_form) 3.85845128798095 y[1] (numeric) 3.858451287978655 absolute error 2.2946089472952735e-12 relative error 5.9469688121837e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.5300671209190884 y[1] (closed_form) 3.85097594646716 y[1] (numeric) 3.850975946464856 absolute error 2.303934820702125e-12 relative error 5.982729709895299e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.540056939696709 y[1] (closed_form) 3.843315885607014 y[1] (numeric) 3.843315885604702 absolute error 2.311928426479426e-12 relative error 6.015452529253342e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.55004675847433 y[1] (closed_form) 3.8354718698412578 y[1] (numeric) 3.8354718698389365 absolute error 2.3212542998862773e-12 relative error 6.05206967658545e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.560036577251951 y[1] (closed_form) 3.8274446819685384 y[1] (numeric) 3.8274446819662074 absolute error 2.3310242625029787e-12 relative error 6.090288576826882e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.5700263960295717 y[1] (closed_form) 3.8192351230672816 y[1] (numeric) 3.8192351230649413 absolute error 2.34035013590983e-12 relative error 6.127798002732709e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.5800162148071926 y[1] (closed_form) 3.810844012415747 y[1] (numeric) 3.810844012413397 absolute error 2.3501200985265314e-12 relative error 6.16692808960385e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.5900060335848134 y[1] (closed_form) 3.8022721874102707 y[1] (numeric) 3.8022721874079113 absolute error 2.3594459719333827e-12 relative error 6.205357890331366e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.5999958523624342 y[1] (closed_form) 3.7935205034816954 y[1] (numeric) 3.7935205034793236 absolute error 2.3718804698091844e-12 relative error 6.252451957574162e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.6101263728129793 y[1] (closed_form) 3.784462775970386 y[1] (numeric) 3.7844627759680045 absolute error 2.381650432425886e-12 relative error 6.293232549539873e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.6201161915906 y[1] (closed_form) 3.7753515102771606 y[1] (numeric) 3.7753515102747692 absolute error 2.391420395042587e-12 relative error 6.3342986435375e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.630106010368221 y[1] (closed_form) 3.766063072227288 y[1] (numeric) 3.766063072224887 absolute error 2.4011903576592886e-12 relative error 6.375863366088555e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.640095829145842 y[1] (closed_form) 3.7565983887664753 y[1] (numeric) 3.7565983887640617 absolute error 2.4136248555350903e-12 relative error 6.425027660003957e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.6500856479234627 y[1] (closed_form) 3.7469584044289537 y[1] (numeric) 3.7469584044265285 absolute error 2.425171174991192e-12 relative error 6.472372824114108e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.6600754667010835 y[1] (closed_form) 3.7371440812432173 y[1] (numeric) 3.7371440812407815 absolute error 2.4358293160275934e-12 relative error 6.517889765752029e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.6700652854787044 y[1] (closed_form) 3.727156398636022 y[1] (numeric) 3.727156398633576 absolute error 2.446043367854145e-12 relative error 6.562760201716491e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.680055104256325 y[1] (closed_form) 3.716996353334638 y[1] (numeric) 3.7169963533321813 absolute error 2.4567015088905464e-12 relative error 6.609372932762121e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.690044923033946 y[1] (closed_form) 3.706664959267383 y[1] (numeric) 3.706664959264916 absolute error 2.466915560717098e-12 relative error 6.655350801397168e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.700034741811567 y[1] (closed_form) 3.696163247462435 y[1] (numeric) 3.6961632474599546 absolute error 2.4802382370125997e-12 relative error 6.710304905270035e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.7100245605891877 y[1] (closed_form) 3.6854922659449425 y[1] (numeric) 3.68549226594245 absolute error 2.4926727348884015e-12 relative error 6.763472977331814e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.7200143793668086 y[1] (closed_form) 3.674653079632435 y[1] (numeric) 3.6746530796299304 absolute error 2.504663143554353e-12 relative error 6.816053350551631e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.7300041981444294 y[1] (closed_form) 3.6636467702285467 y[1] (numeric) 3.6636467702260305 absolute error 2.5162094630104548e-12 relative error 6.868046023043558e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.7399940169220502 y[1] (closed_form) 3.652474436115072 y[1] (numeric) 3.652474436112542 absolute error 2.5299762285158067e-12 relative error 6.926745889032964e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.7501245373725953 y[1] (closed_form) 3.6409763404631503 y[1] (numeric) 3.640976340460606 absolute error 2.5441870832310087e-12 relative error 6.987650688516629e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.760114356150216 y[1] (closed_form) 3.6294730196598177 y[1] (numeric) 3.6294730196572615 absolute error 2.5561774918969604e-12 relative error 7.042833706300826e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.770104174927837 y[1] (closed_form) 3.6178070845385246 y[1] (numeric) 3.6178070845359533 absolute error 2.5712765250318625e-12 relative error 7.107279257704937e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.780093993705458 y[1] (closed_form) 3.6059796993088398 y[1] (numeric) 3.605979699306254 absolute error 2.5859314689569146e-12 relative error 7.171231356218011e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.7900838124830787 y[1] (closed_form) 3.593992044292351 y[1] (numeric) 3.593992044289751 absolute error 2.6001423236721166e-12 relative error 7.234691372790945e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.8000736312606995 y[1] (closed_form) 3.581845315804876 y[1] (numeric) 3.5818453158022594 absolute error 2.616573624436569e-12 relative error 7.305099449412151e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.8100634500383204 y[1] (closed_form) 3.5695407260370686 y[1] (numeric) 3.5695407260344365 absolute error 2.632116746781321e-12 relative error 7.373824670445818e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.820053268815941 y[1] (closed_form) 3.557079502933453 y[1] (numeric) 3.557079502930809 absolute error 2.644107155447273e-12 relative error 7.433365358482233e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.830043087593562 y[1] (closed_form) 3.544462890069882 y[1] (numeric) 3.5444628900672224 absolute error 2.659650277792025e-12 relative error 7.503676467436756e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.840032906371183 y[1] (closed_form) 3.5316921465294264 y[1] (numeric) 3.5316921465267517 absolute error 2.674749310926927e-12 relative error 7.573563039902523e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.8500227251488037 y[1] (closed_form) 3.5187685467767293 y[1] (numeric) 3.518768546774039 absolute error 2.6902924332716793e-12 relative error 7.645550986114297e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.8600125439264246 y[1] (closed_form) 3.50569338053082 y[1] (numeric) 3.5056933805281147 absolute error 2.7053914664065815e-12 relative error 7.717136591098393e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.8700023627040454 y[1] (closed_form) 3.492467952636402 y[1] (numeric) 3.4924679526336804 absolute error 2.7218227671710338e-12 relative error 7.79340799710525e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.8799921814816662 y[1] (closed_form) 3.47909358293364 y[1] (numeric) 3.4790935829309024 absolute error 2.737365889515786e-12 relative error 7.868043282720742e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.8901227019322113 y[1] (closed_form) 3.4653801080741014 y[1] (numeric) 3.465380108071348 absolute error 2.7533531010703882e-12 relative error 7.945313400556728e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.900112520709832 y[1] (closed_form) 3.451709823336783 y[1] (numeric) 3.4517098233340135 absolute error 2.7693403126249905e-12 relative error 8.023097115237391e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.910102339487453 y[1] (closed_form) 3.437894664275097 y[1] (numeric) 3.43789466427231 absolute error 2.787103881018993e-12 relative error 8.10700778584405e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.920092158265074 y[1] (closed_form) 3.4239360095818103 y[1] (numeric) 3.423936009579009 absolute error 2.801314735734195e-12 relative error 8.181562762548064e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.9300819770426947 y[1] (closed_form) 3.4098352522699322 y[1] (numeric) 3.4098352522671145 absolute error 2.8177460364986473e-12 relative error 8.263584097275286e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.9400717958203155 y[1] (closed_form) 3.3955937995336942 y[1] (numeric) 3.39559379953086 absolute error 2.8341773372630996e-12 relative error 8.346632443645962e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.9500616145979364 y[1] (closed_form) 3.3812130726081167 y[1] (numeric) 3.3812130726052665 absolute error 2.850164548817702e-12 relative error 8.429414200209548e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.960051433375557 y[1] (closed_form) 3.366694506627182 y[1] (numeric) 3.366694506624315 absolute error 2.8670399387920042e-12 relative error 8.515889793827059e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.970041252153178 y[1] (closed_form) 3.3520395504806064 y[1] (numeric) 3.3520395504777247 absolute error 2.8816948827170563e-12 relative error 8.596840339499833e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.980031070930799 y[1] (closed_form) 3.3372496666692566 y[1] (numeric) 3.3372496666663576 absolute error 2.8990143619012088e-12 relative error 8.686836920998396e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 3.9900208897084197 y[1] (closed_form) 3.3223263311591875 y[1] (numeric) 3.3223263311562716 absolute error 2.915889751875511e-12 relative error 8.776650639427503e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 4.000010708486041 y[1] (closed_form) 3.307271033234356 y[1] (numeric) 3.3072710332314244 absolute error 2.9314328742202633e-12 relative error 8.86360036647332e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 4.010000527263662 y[1] (closed_form) 3.292085275347995 y[1] (numeric) 3.2920852753450456 absolute error 2.949640531824116e-12 relative error 8.95979382402942e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 4.019990346041283 y[1] (closed_form) 3.276770572972671 y[1] (numeric) 3.2767705729697054 absolute error 2.965627743378718e-12 relative error 9.050458911709264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 4.030120866491828 y[1] (closed_form) 3.261110057260815 y[1] (numeric) 3.2611100572578318 absolute error 2.9833913117727207e-12 relative error 9.148391987354865e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 4.040110685269449 y[1] (closed_form) 3.2455403018222944 y[1] (numeric) 3.245540301819295 absolute error 2.999378523327323e-12 relative error 9.241538370801443e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 4.0501005040470694 y[1] (closed_form) 3.2298462468806646 y[1] (numeric) 3.229846246877646 absolute error 3.0184743593508756e-12 relative error 9.345566719363411e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 4.06009032282469 y[1] (closed_form) 3.214029458634328 y[1] (numeric) 3.2140294586312916 absolute error 3.036237927744878e-12 relative error 9.446826691610366e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 4.070080141602311 y[1] (closed_form) 3.1980915155299368 y[1] (numeric) 3.1980915155268805 absolute error 3.056221942188131e-12 relative error 9.556393015481618e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 4.080069960379932 y[1] (closed_form) 3.1820340081048712 y[1] (numeric) 3.1820340081017973 absolute error 3.0739855105821334e-12 relative error 9.660442040381936e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 4.090059779157553 y[1] (closed_form) 3.1658585388285108 y[1] (numeric) 3.165858538825415 absolute error 3.0957458818647865e-12 relative error 9.778535092128062e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 4.100049597935174 y[1] (closed_form) 3.1495667219423122 y[1] (numeric) 3.149566721939199 absolute error 3.113065361048939e-12 relative error 9.884106722873731e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 4.1100394167127945 y[1] (closed_form) 3.133160183298722 y[1] (numeric) 3.133160183295589 absolute error 3.1330493754921918e-12 relative error 9.999646338520702e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00014070167292439797 NO POLE (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] 4.120029235490415 y[1] (closed_form) 3.116640560198915 y[1] (numeric) 3.1166405601957643 absolute error 3.1508129438861943e-12 relative error 1.0109644930261378e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.130019054268036 y[1] (closed_form) 3.1000095012294047 y[1] (numeric) 3.100009501226236 absolute error 3.1685765122801968e-12 relative error 1.0221183228708169e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.140008873045657 y[1] (closed_form) 3.083268666097518 y[1] (numeric) 3.083268666094331 absolute error 3.1867841698840493e-12 relative error 1.0335732999607688e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.149998691823278 y[1] (closed_form) 3.0664197254657672 y[1] (numeric) 3.0664197254625605 absolute error 3.206768184327302e-12 relative error 1.0457694873588178e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.159988510600899 y[1] (closed_form) 3.0494643607851213 y[1] (numeric) 3.049464360781896 absolute error 3.2254199311410048e-12 relative error 1.05770048426163e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.170119031051444 y[1] (closed_form) 3.032163241289034 y[1] (numeric) 3.032163241285789 absolute error 3.2449598563744075e-12 relative error 1.0701798017295763e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.180108849829065 y[1] (closed_form) 3.014998676266173 y[1] (numeric) 3.0149986762629095 absolute error 3.26361160318811e-12 relative error 1.082458718432946e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.1900986686066855 y[1] (closed_form) 2.99773281879141 y[1] (numeric) 2.997732818788126 absolute error 3.284039706841213e-12 relative error 1.0955078071851756e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.200088487384306 y[1] (closed_form) 2.980367391922199 y[1] (numeric) 2.9803673919188953 absolute error 3.303579632074616e-12 relative error 1.1084471132748369e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.210078306161927 y[1] (closed_form) 2.96290412865259 y[1] (numeric) 2.9629041286492668 absolute error 3.3231195573080186e-12 relative error 1.1215751212372977e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.220068124939548 y[1] (closed_form) 2.94534477174028 y[1] (numeric) 2.9453447717369374 absolute error 3.3426594825414213e-12 relative error 1.1348958242896585e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.230057943717169 y[1] (closed_form) 2.927691073532692 y[1] (numeric) 2.927691073529331 absolute error 3.361311229355124e-12 relative error 1.148109942248519e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.24004776249479 y[1] (closed_form) 2.909944795792101 y[1] (numeric) 2.90994479578872 absolute error 3.3808511545885267e-12 relative error 1.1618265609290511e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.2500375812724105 y[1] (closed_form) 2.8921077095198164 y[1] (numeric) 2.892107709516416 absolute error 3.4003910798219295e-12 relative error 1.1757484234176412e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.260027400050031 y[1] (closed_form) 2.8741815947794436 y[1] (numeric) 2.874181594776021 absolute error 3.4225955403144326e-12 relative error 1.1908069923386566e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.270017218827652 y[1] (closed_form) 2.856168240519242 y[1] (numeric) 2.8561682405158004 absolute error 3.4416913763379853e-12 relative error 1.2050030273119685e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.280007037605273 y[1] (closed_form) 2.8380694443935957 y[1] (numeric) 2.8380694443901318 absolute error 3.4638958368304884e-12 relative error 1.2205113034401496e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.289996856382894 y[1] (closed_form) 2.8198870125836137 y[1] (numeric) 2.8198870125801294 absolute error 3.4843239404835913e-12 relative error 1.235625372553921e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.299986675160515 y[1] (closed_form) 2.801622759616886 y[1] (numeric) 2.801622759613381 absolute error 3.504752044136694e-12 relative error 1.2509721489469765e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.31011719561106 y[1] (closed_form) 2.7830195759115437 y[1] (numeric) 2.783019575908019 absolute error 3.524736058579947e-12 relative error 1.2665150073281332e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.320107014388681 y[1] (closed_form) 2.7645960688503033 y[1] (numeric) 2.7645960688467563 absolute error 3.54694051907245e-12 relative error 1.2829868923844256e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.3300968331663015 y[1] (closed_form) 2.7460962584279445 y[1] (numeric) 2.7460962584243758 absolute error 3.568700890355103e-12 relative error 1.2995541869308232e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.340086651943922 y[1] (closed_form) 2.7275219908450588 y[1] (numeric) 2.7275219908414696 absolute error 3.589128994008206e-12 relative error 1.3158936962030502e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.350076470721543 y[1] (closed_form) 2.708875119732742 y[1] (numeric) 2.7088751197291323 absolute error 3.609557097661309e-12 relative error 1.3324929862464198e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.360066289499164 y[1] (closed_form) 2.6901575059676004 y[1] (numeric) 2.690157505963969 absolute error 3.631317468943962e-12 relative error 1.349853107443924e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.370056108276785 y[1] (closed_form) 2.671371017486054 y[1] (numeric) 2.6713710174824006 absolute error 3.653521929436465e-12 relative error 1.3676579949103002e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.380045927054406 y[1] (closed_form) 2.652517529097918 y[1] (numeric) 2.6525175290942435 absolute error 3.674394122299418e-12 relative error 1.3852478190969864e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.3900357458320265 y[1] (closed_form) 2.6335989222993073 y[1] (numeric) 2.633598922295612 absolute error 3.695266315162371e-12 relative error 1.4031241750114923e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.400025564609647 y[1] (closed_form) 2.6146170850848707 y[1] (numeric) 2.614617085081153 absolute error 3.717470775654874e-12 relative error 1.4218031377754134e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.410015383387268 y[1] (closed_form) 2.5955739117593764 y[1] (numeric) 2.5955739117556385 absolute error 3.737898879307977e-12 relative error 1.4401049657546798e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.420005202164889 y[1] (closed_form) 2.576471302748671 y[1] (numeric) 2.5764713027449124 absolute error 3.75877107217093e-12 relative error 1.4588833448914954e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.42999502094251 y[1] (closed_form) 2.5573111644100246 y[1] (numeric) 2.557311164406244 absolute error 3.780531443453583e-12 relative error 1.4783228165844876e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.440125541393055 y[1] (closed_form) 2.5378243763978627 y[1] (numeric) 2.5378243763940627 absolute error 3.800071368686986e-12 relative error 1.4973736575423439e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.450115360170676 y[1] (closed_form) 2.518554178637598 y[1] (numeric) 2.5185541786337766 absolute error 3.821387650759789e-12 relative error 1.5172942012416638e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.460105178948297 y[1] (closed_form) 2.4992322314263955 y[1] (numeric) 2.4992322314225524 absolute error 3.843148022042442e-12 relative error 1.5377314575720835e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.4700949977259175 y[1] (closed_form) 2.4798604630105228 y[1] (numeric) 2.4798604630066583 absolute error 3.864464304115245e-12 relative error 1.5583394153652616e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.480084816503538 y[1] (closed_form) 2.4604408066081858 y[1] (numeric) 2.4604408066042995 absolute error 3.886224675397898e-12 relative error 1.5794831011420312e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.490074635281159 y[1] (closed_form) 2.440975200216604 y[1] (numeric) 2.440975200212697 absolute error 3.907096868260851e-12 relative error 1.6006294811656211e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.50006445405878 y[1] (closed_form) 2.4214655864186057 y[1] (numeric) 2.421465586414676 absolute error 3.929745417963204e-12 relative error 1.622878904413989e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.510054272836401 y[1] (closed_form) 2.4019139121887667 y[1] (numeric) 2.4019139121848148 absolute error 3.951949878455707e-12 relative error 1.6453336892721754e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.520044091614022 y[1] (closed_form) 2.382322128699111 y[1] (numeric) 2.3823221286951366 absolute error 3.9745984281580604e-12 relative error 1.6683715356027132e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.5300339103916425 y[1] (closed_form) 2.3626921911243928 y[1] (numeric) 2.3626921911203964 absolute error 3.9963587994407135e-12 relative error 1.6914428440798576e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.540023729169263 y[1] (closed_form) 2.343026058446977 y[1] (numeric) 2.3430260584429567 absolute error 4.020339616772617e-12 relative error 1.715874905564392e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.550013547946884 y[1] (closed_form) 2.323325693261342 y[1] (numeric) 2.3233256932572988 absolute error 4.04343225568482e-12 relative error 1.7403639392499025e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.560003366724505 y[1] (closed_form) 2.3035930615782236 y[1] (numeric) 2.3035930615741584 absolute error 4.065192626967473e-12 relative error 1.7647182112027865e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.569993185502126 y[1] (closed_form) 2.2838301326284123 y[1] (numeric) 2.2838301326243236 absolute error 4.0887293550895265e-12 relative error 1.7902948632978642e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.580123705952671 y[1] (closed_form) 2.263759935795348 y[1] (numeric) 2.263759935791236 absolute error 4.11226608321158e-12 relative error 1.8165645650791052e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.590113524730292 y[1] (closed_form) 2.2439419748938105 y[1] (numeric) 2.243941974889675 absolute error 4.135358722123783e-12 relative error 1.8428991339312504e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.600103343507913 y[1] (closed_form) 2.224099669644506 y[1] (numeric) 2.224099669640348 absolute error 4.158007271826136e-12 relative error 1.8695238026318942e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.6100931622855335 y[1] (closed_form) 2.204235000223168 y[1] (numeric) 2.2042350002189877 absolute error 4.1802117323186394e-12 relative error 1.8964455840214015e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.620082981063154 y[1] (closed_form) 2.1843499490373786 y[1] (numeric) 2.1843499490331766 absolute error 4.2019721036012925e-12 relative error 1.9236716650887648e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.630072799840775 y[1] (closed_form) 2.164446500528734 y[1] (numeric) 2.164446500524506 absolute error 4.227729277772596e-12 relative error 1.9532611578710035e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.640062618618396 y[1] (closed_form) 2.1445266409747985 y[1] (numeric) 2.1445266409705486 absolute error 4.249933738265099e-12 relative error 1.981758424942338e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.650052437396017 y[1] (closed_form) 2.12459235829089 y[1] (numeric) 2.1245923582866184 absolute error 4.271694109547752e-12 relative error 2.0105946879071333e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.660042256173638 y[1] (closed_form) 2.1046456418316932 y[1] (numeric) 2.1046456418274 absolute error 4.293010391620555e-12 relative error 2.0397782440393658e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.6700320749512585 y[1] (closed_form) 2.0846884821927265 y[1] (numeric) 2.0846884821884113 absolute error 4.3152148521130584e-12 relative error 2.0699566812851622e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.680021893728879 y[1] (closed_form) 2.0647228710116936 y[1] (numeric) 2.064722871007356 absolute error 4.3374193126055616e-12 relative error 2.100727111372709e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.6900117125065 y[1] (closed_form) 2.0447508007697257 y[1] (numeric) 2.0447508007653656 absolute error 4.360067862307915e-12 relative error 2.1323223644987016e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.700001531284121 y[1] (closed_form) 2.0247742645925397 y[1] (numeric) 2.024774264588157 absolute error 4.382716412010268e-12 relative error 2.1645456921550878e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.709991350061742 y[1] (closed_form) 2.0047952560515334 y[1] (numeric) 2.004795256047127 absolute error 4.406253140132321e-12 relative error 2.1978569267020742e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.720121870512287 y[1] (closed_form) 1.9845343738804089 y[1] (numeric) 1.9845343738759795 absolute error 4.4293457790445245e-12 relative error 2.2319320024594563e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.730111689289908 y[1] (closed_form) 1.9645564376950282 y[1] (numeric) 1.9645564376905758 absolute error 4.452438417956728e-12 relative error 2.2663835624802298e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.740101508067529 y[1] (closed_form) 1.9445820386229604 y[1] (numeric) 1.9445820386184842 absolute error 4.476197190683706e-12 relative error 2.3018813821058884e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.7500913268451495 y[1] (closed_form) 1.9246131700223295 y[1] (numeric) 1.9246131700178297 absolute error 4.4997339188057595e-12 relative error 2.337993935037633e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.76008114562277 y[1] (closed_form) 1.904651824699342 y[1] (numeric) 1.90465182469482 absolute error 4.5219383792982626e-12 relative error 2.374154856367027e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.770070964400391 y[1] (closed_form) 1.8846999947094156 y[1] (numeric) 1.8846999947048717 absolute error 4.543920795185841e-12 relative error 2.4109517737258895e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.780060783178012 y[1] (closed_form) 1.8647596711583776 y[1] (numeric) 1.8647596711538108 absolute error 4.566791389493119e-12 relative error 2.4489972944643614e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.790050601955633 y[1] (closed_form) 1.8448328440037631 y[1] (numeric) 1.8448328439991748 absolute error 4.588329716170847e-12 relative error 2.487124907323846e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.800040420733254 y[1] (closed_form) 1.8249215018562266 y[1] (numeric) 1.824921501851616 absolute error 4.61053417666335e-12 relative error 2.5264287652776987e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.8100302395108745 y[1] (closed_form) 1.8050276317810852 y[1] (numeric) 1.8050276317764515 absolute error 4.633626815575553e-12 relative error 2.567066971159543e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.820020058288495 y[1] (closed_form) 1.7851532191000197 y[1] (numeric) 1.7851532190953638 absolute error 4.6558312760680565e-12 relative error 2.6080849678635885e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.830009877066116 y[1] (closed_form) 1.7653002471929469 y[1] (numeric) 1.765300247188269 absolute error 4.6778136919556346e-12 relative error 2.64986859849703e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.839999695843737 y[1] (closed_form) 1.7454706973000884 y[1] (numeric) 1.7454706972953877 absolute error 4.700684286262913e-12 relative error 2.6930754515294807e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.849989514621358 y[1] (closed_form) 1.7256665483242504 y[1] (numeric) 1.725666548319527 absolute error 4.723332835965266e-12 relative error 2.73710633178349e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.860120035071903 y[1] (closed_form) 1.70561143553237 y[1] (numeric) 1.705611435527624 absolute error 4.745981385667619e-12 relative error 2.782568929122044e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.870109853849524 y[1] (closed_form) 1.6858644422361952 y[1] (numeric) 1.6858644422314268 absolute error 4.768407890765047e-12 relative error 2.8284645973314725e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.880099672627145 y[1] (closed_form) 1.6661487983019656 y[1] (numeric) 1.6661487982971752 absolute error 4.7903903066526254e-12 relative error 2.875127546552079e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.8900894914047655 y[1] (closed_form) 1.646466471265168 y[1] (numeric) 1.6464664712603554 absolute error 4.8125947671451286e-12 relative error 2.9229837662269935e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.900079310182386 y[1] (closed_form) 1.6268194253364086 y[1] (numeric) 1.6268194253315742 absolute error 4.834355138427782e-12 relative error 2.971660568552708e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.910069128960007 y[1] (closed_form) 1.6072096212053921 y[1] (numeric) 1.6072096212005353 absolute error 4.85678164352521e-12 relative error 3.021871932226656e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.920058947737628 y[1] (closed_form) 1.5876390158452534 y[1] (numeric) 1.587639015840374 absolute error 4.879430193227563e-12 relative error 3.0733876810338854e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.930048766515249 y[1] (closed_form) 1.5681095623172605 y[1] (numeric) 1.5681095623123593 absolute error 4.901190564510216e-12 relative error 3.125540894774931e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.94003858529287 y[1] (closed_form) 1.5486232095759092 y[1] (numeric) 1.5486232095709855 absolute error 4.923617069607644e-12 relative error 3.179351206389305e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.9500284040704905 y[1] (closed_form) 1.5291819022744226 y[1] (numeric) 1.5291819022694766 absolute error 4.946043574705072e-12 relative error 3.234437686810571e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.960018222848111 y[1] (closed_form) 1.5097875805706855 y[1] (numeric) 1.509787580565718 absolute error 4.9675819013828004e-12 relative error 3.2902521952823993e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.970008041625732 y[1] (closed_form) 1.4904421799336243 y[1] (numeric) 1.4904421799286343 absolute error 4.9900084064802286e-12 relative error 3.3480053595252213e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.979997860403353 y[1] (closed_form) 1.4711476309500564 y[1] (numeric) 1.4711476309450442 absolute error 5.012212866972732e-12 relative error 3.407008760729119e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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] 4.989987679180974 y[1] (closed_form) 1.4519058591320242 y[1] (numeric) 1.4519058591269896 absolute error 5.03463937207016e-12 relative error 3.467607311041474e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.00014070167292439797 NO POLE (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 Finished! diff ( y , x , 1 ) = sin ( x ) + sin ( x ) ; Iterations 56430 Total Elapsed Time 12 Seconds Elapsed Time(since restart) 12 Seconds Time to Timeout 2 Minutes 48.0 Seconds Percent Done 100.00258901304443%