##############ECHO OF PROBLEM################# ##############temp/sing3_back_sm_hpostode.ode################# diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=20; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=-0.7; x_end=-2.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_h=0.000001; glob_type_given_pole=1; array_given_rad_poles[1][1]=0.0; array_given_rad_poles[1][2]=0.0; array_given_ord_poles[1][1]=2.0; array_given_ord_poles[1][2]=0.0; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(1.0/x/x); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -1.3 estimated_steps = 1300000 step_error = 4.385290096535146e-15 est_needed_step_err = 4.385290096535146e-15 opt_iter = 1 SETTING H FOR MAX H Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = -0.7 y[1] (analytic) = 2.040816326530612 y[1] (numeric) = 2.040816326530612 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = -1e-06 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7100000000002875 y[1] (analytic) = 1.983733386231284 y[1] (numeric) = 1.983733386232927 absolute error = 1.642908031840307e-12 relative error = 8.281899388513693e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = -1e-06 Radius of convergence (given) for eq 1 = 0.71 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.71 Order of pole (three term test) = 5.191e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7200000000005751 y[1] (analytic) = 1.929012345675931 y[1] (numeric) = 1.929012345679135 absolute error = 3.204325693673127e-12 relative error = 1.661122439602803e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 0.72 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.72 Order of pole (three term test) = 3.949e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7300000000008626 y[1] (analytic) = 1.876524676295058 y[1] (numeric) = 1.876524676299776 absolute error = 4.71733763163229e-12 relative error = 2.513869223902789e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 0.73 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.73 Order of pole (three term test) = 5.973e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7400000000011502 y[1] (analytic) = 1.826150474793447 y[1] (numeric) = 1.826150474799607 absolute error = 6.159961429830219e-12 relative error = 3.373194878985514e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 0.74 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.74 Order of pole (three term test) = 4.492e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7500000000014377 y[1] (analytic) = 1.777777777770962 y[1] (numeric) = 1.777777777778513 absolute error = 7.550848835080615e-12 relative error = 4.24735246974913e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 0.75 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.75 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7600000000017253 y[1] (analytic) = 1.731301939050311 y[1] (numeric) = 1.731301939059196 absolute error = 8.884670776865278e-12 relative error = 5.131785840740685e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 0.76 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.76 Order of pole (three term test) = 2.499e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7700000000020129 y[1] (analytic) = 1.686625063239622 y[1] (numeric) = 1.686625063249791 absolute error = 1.016919881635658e-11 relative error = 6.02931797824934e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 0.77 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.77 Order of pole (three term test) = 3.699e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7800000000023004 y[1] (analytic) = 1.643655489799641 y[1] (numeric) = 1.643655489811063 absolute error = 1.142241856655346e-11 relative error = 6.949399455932116e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 0.78 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.78 Order of pole (three term test) = 5.448e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.790000000002588 y[1] (analytic) = 1.602307322533966 y[1] (numeric) = 1.602307322546574 absolute error = 1.260769266764328e-11 relative error = 7.868460993927723e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 0.79 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.79 Order of pole (three term test) = 3.992e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8000000000028755 y[1] (analytic) = 1.562499999988767 y[1] (numeric) = 1.562500000002525 absolute error = 1.375721758734016e-11 relative error = 8.804619255961e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 0.8 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8 Order of pole (three term test) = 2.911e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8100000000031631 y[1] (analytic) = 1.524157902746822 y[1] (numeric) = 1.524157902761675 absolute error = 1.485322975725012e-11 relative error = 9.745204043807915e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 0.81 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.81 Order of pole (three term test) = 8.452e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8200000000034506 y[1] (analytic) = 1.487209994038643 y[1] (numeric) = 1.48720999405455 absolute error = 1.590638731840954e-11 relative error = 1.069545483298859e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.82 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.82 Order of pole (three term test) = 9.159e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8300000000037382 y[1] (analytic) = 1.451589490479013 y[1] (numeric) = 1.451589490495948 absolute error = 1.693489792842229e-11 relative error = 1.16664511829952e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.83 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.83 Order of pole (three term test) = 4.392e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8400000000040257 y[1] (analytic) = 1.417233560077119 y[1] (numeric) = 1.417233560095035 absolute error = 1.791677917140078e-11 relative error = 1.264207938346156e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.84 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.84 Order of pole (three term test) = 6.291e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8500000000043133 y[1] (analytic) = 1.384083044968652 y[1] (numeric) = 1.384083044987523 absolute error = 1.887068279415871e-11 relative error = 1.363406831891804e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.85 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.85 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8600000000046009 y[1] (analytic) = 1.352082206583694 y[1] (numeric) = 1.352082206603487 absolute error = 1.979261199380744e-11 relative error = 1.463861583077661e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.86 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.86 Order of pole (three term test) = 9.557e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8700000000048884 y[1] (analytic) = 1.321178491199316 y[1] (numeric) = 1.321178491219989 absolute error = 2.067279680773026e-11 relative error = 1.564723990394688e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.87 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.87 Order of pole (three term test) = 4.507e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.880000000005176 y[1] (analytic) = 1.291322314034396 y[1] (numeric) = 1.29132231405593 absolute error = 2.153344169641969e-11 relative error = 1.667549724990357e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.88 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.88 Order of pole (three term test) = 3.175e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8900000000054635 y[1] (analytic) = 1.262466860229418 y[1] (numeric) = 1.26246686025179 absolute error = 2.237166008001168e-11 relative error = 1.772059194959482e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.89 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.89 Order of pole (three term test) = 4.456e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9000000000057511 y[1] (analytic) = 1.23456790121879 y[1] (numeric) = 1.234567901241968 absolute error = 2.317834812970432e-11 relative error = 1.877446198530044e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.9 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9 Order of pole (three term test) = 3.115e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9100000000060386 y[1] (analytic) = 1.207583625150016 y[1] (numeric) = 1.207583625173973 absolute error = 2.395728060378133e-11 relative error = 1.983902406825461e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.91 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.91 Order of pole (three term test) = 8.679e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9200000000063262 y[1] (analytic) = 1.18147448013498 y[1] (numeric) = 1.181474480159683 absolute error = 2.470290638711958e-11 relative error = 2.090853996634556e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.92 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.92 Order of pole (three term test) = 6.023e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9300000000066138 y[1] (analytic) = 1.156203029235492 y[1] (numeric) = 1.156203029260927 absolute error = 2.543498744955741e-11 relative error = 2.199872064543509e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.93 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.93 Order of pole (three term test) = 4.165e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9400000000069013 y[1] (analytic) = 1.13173381618981 y[1] (numeric) = 1.131733816215951 absolute error = 2.614086724861409e-11 relative error = 2.309807030121457e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.94 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.94 Order of pole (three term test) = 2.871e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9500000000071889 y[1] (analytic) = 1.108033240980461 y[1] (numeric) = 1.108033241007275 absolute error = 2.681410649074678e-11 relative error = 2.419973110826522e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.95 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.95 Order of pole (three term test) = 3.943e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9600000000074764 y[1] (analytic) = 1.085069444427543 y[1] (numeric) = 1.085069444455017 absolute error = 2.747357896737412e-11 relative error = 2.531965037672637e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.96 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.96 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.970000000007764 y[1] (analytic) = 1.062812201067055 y[1] (numeric) = 1.062812201095167 absolute error = 2.811240129574344e-11 relative error = 2.645095837958844e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.97 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.97 Order of pole (three term test) = 3.684e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9800000000080515 y[1] (analytic) = 1.041232819641366 y[1] (numeric) = 1.041232819670088 absolute error = 2.872124760244787e-11 relative error = 2.758388619784419e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.98 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.98 Order of pole (three term test) = 2.505e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9900000000083391 y[1] (analytic) = 1.020304050589892 y[1] (numeric) = 1.02030405061922 absolute error = 2.932742937389321e-11 relative error = 2.874381352983697e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 0.99 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.99 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.000000000008627 y[1] (analytic) = 0.9999999999827467 y[1] (numeric) = 1.000000000012662 absolute error = 2.991562553233962e-11 relative error = 2.991562553285576e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1 Order of pole (three term test) = 4.593e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.010000000007804 y[1] (analytic) = 0.980296049391772 y[1] (numeric) = 0.9802960494200669 absolute error = 2.829492196099181e-11 relative error = 2.886364989285379e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.01 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.01 Order of pole (three term test) = 6.191e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.020000000006981 y[1] (analytic) = 0.9611687812248281 y[1] (numeric) = 0.9611687812515493 absolute error = 2.672118082358566e-11 relative error = 2.780071652923908e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.02 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.02 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.030000000006159 y[1] (analytic) = 0.9425959091224823 y[1] (numeric) = 0.9425959091476792 absolute error = 2.519695563307778e-11 relative error = 2.673145023145189e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.03 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.03 Order of pole (three term test) = 5.574e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.040000000005336 y[1] (analytic) = 0.9245562130082641 y[1] (numeric) = 0.9245562130319817 absolute error = 2.371758345276476e-11 relative error = 2.56529382627736e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.04 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.04 Order of pole (three term test) = 3.724e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.050000000004513 y[1] (analytic) = 0.9070294784502524 y[1] (numeric) = 0.9070294784725312 absolute error = 2.227884543515302e-11 relative error = 2.456242709246736e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.05 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.05 Order of pole (three term test) = 4.963e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.060000000003691 y[1] (analytic) = 0.8899964400080425 y[1] (numeric) = 0.8899964400289143 absolute error = 2.087185979604556e-11 relative error = 2.345162166700009e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.06 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.06 Order of pole (three term test) = 9.892e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.070000000002868 y[1] (analytic) = 0.8734387282685294 y[1] (numeric) = 0.8734387282880343 absolute error = 1.95048421858246e-11 relative error = 2.233109381867029e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.07 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.07 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.080000000002045 y[1] (analytic) = 0.857338820298536 y[1] (numeric) = 0.8573388203167155 absolute error = 1.817945793902709e-11 relative error = 2.120451974016151e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.08 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.08 Order of pole (three term test) = 5.777e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.090000000001223 y[1] (analytic) = 0.8416799932646718 y[1] (numeric) = 0.8416799932815644 absolute error = 1.689259843118407e-11 relative error = 2.007009619613482e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.09 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.09 Order of pole (three term test) = 3.809e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.1000000000004 y[1] (analytic) = 0.8264462809911345 y[1] (numeric) = 0.8264462810067749 absolute error = 1.564037788170936e-11 relative error = 1.892485723688208e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.1 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.1 Order of pole (three term test) = 5.009e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.110000999999577 y[1] (analytic) = 0.8116209708638867 y[1] (numeric) = 0.8116209708783092 absolute error = 1.442246322369556e-11 relative error = 1.776994895578454e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.11 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.11 Order of pole (three term test) = 3.286e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.120000999998755 y[1] (analytic) = 0.7971924539942042 y[1] (numeric) = 0.7971924540074371 absolute error = 1.32328592528097e-11 relative error = 1.659932828830553e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.12 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.12 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.130000999997932 y[1] (analytic) = 0.7831452972781778 y[1] (numeric) = 0.7831452972902604 absolute error = 1.208255717699558e-11 relative error = 1.542824456584049e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.13 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.13 Order of pole (three term test) = 2.807e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.140000999997109 y[1] (analytic) = 0.7694661785329447 y[1] (numeric) = 0.7694661785439026 absolute error = 1.09579012530503e-11 relative error = 1.424091345241775e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.14 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.14 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.150000999996287 y[1] (analytic) = 0.7561423522709201 y[1] (numeric) = 0.756142352280786 absolute error = 9.865885886028991e-12 relative error = 1.304765677573648e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.15 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.15 Order of pole (three term test) = 2.376e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.160000999995464 y[1] (analytic) = 0.7431616200000887 y[1] (numeric) = 0.743161620008887 absolute error = 8.798295425549441e-12 relative error = 1.183900673658092e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.16 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.16 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.170000999994641 y[1] (analytic) = 0.7305123022935514 y[1] (numeric) = 0.7305123023013123 absolute error = 7.760903031339694e-12 relative error = 1.062391832002444e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.17 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.17 Order of pole (three term test) = 3.985e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.180000999993819 y[1] (analytic) = 0.7181832125088892 y[1] (numeric) = 0.718183212515637 absolute error = 6.747824521369239e-12 relative error = 9.395686788328709e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 1.18 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.18 Order of pole (three term test) = 5.145e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.190000999992996 y[1] (analytic) = 0.7061636320469044 y[1] (numeric) = 0.7061636320526632 absolute error = 5.758837851033149e-12 relative error = 8.155103986791887e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 1.19 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.19 Order of pole (three term test) = 3.313e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.200000999992173 y[1] (analytic) = 0.6944432870475425 y[1] (numeric) = 0.6944432870523417 absolute error = 4.799161068547164e-12 relative error = 6.910803456609131e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 1.2 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.2 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.210000999991351 y[1] (analytic) = 0.6830123264283748 y[1] (numeric) = 0.6830123264322308 absolute error = 3.855915586825631e-12 relative error = 5.645455341910272e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 1.21 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.21 Order of pole (three term test) = 5.463e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.220000999990528 y[1] (analytic) = 0.6718613011779637 y[1] (numeric) = 0.6718613011809077 absolute error = 2.943978394398528e-12 relative error = 4.381824625464954e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 1.22 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.22 Order of pole (three term test) = 3.496e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.230000999989705 y[1] (analytic) = 0.6609811448228318 y[1] (numeric) = 0.6609811448248823 absolute error = 2.050581926482664e-12 relative error = 3.102330440957281e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 1.23 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.23 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.240000999988883 y[1] (analytic) = 0.6503631549926226 y[1] (numeric) = 0.6503631549937993 absolute error = 1.176614361497741e-12 relative error = 1.809165160211279e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 1.24 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.24 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.25000099998806 y[1] (analytic) = 0.6399989760134555 y[1] (numeric) = 0.6399989760137755 absolute error = 3.200772979994326e-13 relative error = 5.001215783081242e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = -1e-06 Radius of convergence (given) for eq 1 = 1.25 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.25 Order of pole (three term test) = 3.623e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.260000999987237 y[1] (analytic) = 0.6298805824644499 y[1] (numeric) = 0.6298805824639369 absolute error = 5.130340596792848e-13 relative error = 8.144941659766758e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = -1e-06 Radius of convergence (given) for eq 1 = 1.26 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.26 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.270000999986415 y[1] (analytic) = 0.6200002636369921 y[1] (numeric) = 0.6200002636356652 absolute error = 1.326938559031987e-12 relative error = 2.140222572242171e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 1.27 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.27 Order of pole (three term test) = 2.917e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.280000999985592 y[1] (analytic) = 0.6103506088405417 y[1] (numeric) = 0.6103506088384167 absolute error = 2.12496686913255e-12 relative error = 3.481551158225701e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 1.28 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.28 Order of pole (three term test) = 3.69e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.290000999984769 y[1] (analytic) = 0.6009244935026858 y[1] (numeric) = 0.6009244934997851 absolute error = 2.900790718740609e-12 relative error = 4.827213318985215e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 1.29 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.29 Order of pole (three term test) = 2.33e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.300000999983947 y[1] (analytic) = 0.591715066014754 y[1] (numeric) = 0.5917150660110972 absolute error = 3.656741576207878e-12 relative error = 6.17990277117044e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 1.3 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.3 Order of pole (three term test) = 2.938e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.310000999983124 y[1] (analytic) = 0.5827157352776388 y[1] (numeric) = 0.5827157352732416 absolute error = 4.397149311330395e-12 relative error = 7.545959453515262e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 1.31 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.31 Order of pole (three term test) = 3.697e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.320000999982301 y[1] (analytic) = 0.5739201589055457 y[1] (numeric) = 0.5739201589004264 absolute error = 5.119349388849059e-12 relative error = 8.919967889978906e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = -1e-06 Radius of convergence (given) for eq 1 = 1.32 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.32 Order of pole (three term test) = 4.645e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.330000999981479 y[1] (analytic) = 0.5653222320482498 y[1] (numeric) = 0.5653222320424283 absolute error = 5.821565451924471e-12 relative error = 1.029778261299231e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.33 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.33 Order of pole (three term test) = 8.737e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.340000999980656 y[1] (analytic) = 0.5569160767950707 y[1] (numeric) = 0.5569160767885543 absolute error = 6.516454043037356e-12 relative error = 1.17009623434434e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.34 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.34 Order of pole (three term test) = 7.293e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.350000999979833 y[1] (analytic) = 0.5486960321262229 y[1] (numeric) = 0.5486960321190345 absolute error = 7.188361017540501e-12 relative error = 1.310080736265809e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.35 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.35 Order of pole (three term test) = 4.557e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.360000999979011 y[1] (analytic) = 0.5406566443794623 y[1] (numeric) = 0.5406566443716184 absolute error = 7.843836691279193e-12 relative error = 1.450798167898583e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.36 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.36 Order of pole (three term test) = 2.843e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.370000999978188 y[1] (analytic) = 0.5327926582020492 y[1] (numeric) = 0.5327926581935535 absolute error = 8.495759651339085e-12 relative error = 1.594571456748052e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.37 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.37 Order of pole (three term test) = 3.542e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.380000999977365 y[1] (analytic) = 0.5250990079599963 y[1] (numeric) = 0.5250990079508687 absolute error = 9.127587574653262e-12 relative error = 1.738260296875029e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.38 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.38 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.390000999976543 y[1] (analytic) = 0.5175708095783776 y[1] (numeric) = 0.517570809568631 absolute error = 9.746647933184249e-12 relative error = 1.883152556676069e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.39 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.39 Order of pole (three term test) = 2.736e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.40000099997572 y[1] (analytic) = 0.5102033527881571 y[1] (numeric) = 0.510203352777806 absolute error = 1.035105334779018e-11 relative error = 2.028809354392477e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.4 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.4 Order of pole (three term test) = 6.784e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.410000999974897 y[1] (analytic) = 0.5029920937565512 y[1] (numeric) = 0.5029920937456135 absolute error = 1.093769519400212e-11 relative error = 2.174526265873272e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.41 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.41 Order of pole (three term test) = 4.2e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.420000999974075 y[1] (analytic) = 0.4959326480793981 y[1] (numeric) = 0.495932648067883 absolute error = 1.151506667795843e-11 relative error = 2.321901315138842e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.42 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.42 Order of pole (three term test) = 7.787e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.430000999973252 y[1] (analytic) = 0.4890207841153495 y[1] (numeric) = 0.4890207841032655 absolute error = 1.208400046692759e-11 relative error = 2.471060711414923e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.43 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.43 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.440000999972429 y[1] (analytic) = 0.4822524166429641 y[1] (numeric) = 0.4822524166303234 absolute error = 1.264072180262588e-11 relative error = 2.621183713421273e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.44 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.44 Order of pole (three term test) = 3.949e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.450000999971607 y[1] (analytic) = 0.4756236008229466 y[1] (numeric) = 0.4756236008097568 absolute error = 1.318983811060548e-11 relative error = 2.773167287700566e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.45 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.45 Order of pole (three term test) = 1.215e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.460000999970784 y[1] (analytic) = 0.469130526448872 y[1] (numeric) = 0.4691305264351496 absolute error = 1.37224676066694e-11 relative error = 2.925085201882494e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.46 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.46 Order of pole (three term test) = 2.987e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.470000999969961 y[1] (analytic) = 0.4627695124707481 y[1] (numeric) = 0.462769512456505 absolute error = 1.424310669406736e-11 relative error = 3.077797112870023e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.47 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.47 Order of pole (three term test) = 7.33e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.480000999969139 y[1] (analytic) = 0.4565370017767179 y[1] (numeric) = 0.4565370017619607 absolute error = 1.475719546562004e-11 relative error = 3.232420462785941e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.48 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.48 Order of pole (three term test) = 4.492e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.490000999968316 y[1] (analytic) = 0.4504295562190897 y[1] (numeric) = 0.4504295562038301 absolute error = 1.525957138426293e-11 relative error = 3.387781990229932e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.49 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.49 Order of pole (three term test) = 2.749e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.500000999967493 y[1] (analytic) = 0.4444438518717077 y[1] (numeric) = 0.4444438518559556 absolute error = 1.575206631798665e-11 relative error = 3.544219647014851e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.5 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.5 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.510000999966671 y[1] (analytic) = 0.4385766745064468 y[1] (numeric) = 0.4385766744902126 absolute error = 1.623418066643012e-11 relative error = 3.701560436313511e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.51 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.51 Order of pole (three term test) = 4.101e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.520000999965848 y[1] (analytic) = 0.432824915277338 y[1] (numeric) = 0.4328249152606302 absolute error = 1.670780180873521e-11 relative error = 3.860175608890139e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.52 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.52 Order of pole (three term test) = 2.499e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.530000999965025 y[1] (analytic) = 0.4271855666015027 y[1] (numeric) = 0.4271855665843271 absolute error = 1.717559428016102e-11 relative error = 4.020640120592643e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.53 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.53 Order of pole (three term test) = 6.085e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.540000999964203 y[1] (analytic) = 0.4216557182267061 y[1] (numeric) = 0.421655718209076 absolute error = 1.763006407529133e-11 relative error = 4.181151425963208e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.54 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.54 Order of pole (three term test) = 3.7e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.55000099996338 y[1] (analytic) = 0.4162325534759291 y[1] (numeric) = 0.4162325534578515 absolute error = 1.807759497651773e-11 relative error = 4.343147796959414e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.55 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.55 Order of pole (three term test) = 8.985e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.560000999962557 y[1] (analytic) = 0.4109133456599088 y[1] (numeric) = 0.4109133456413934 absolute error = 1.851546693742989e-11 relative error = 4.505929810504174e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.56 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.56 Order of pole (three term test) = 2.724e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.570000999961735 y[1] (analytic) = 0.4056954546491186 y[1] (numeric) = 0.4056954546301743 absolute error = 1.894429058069136e-11 relative error = 4.669584133516127e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.57 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.57 Order of pole (three term test) = 3.3e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.580000999960912 y[1] (analytic) = 0.400576323597138 y[1] (numeric) = 0.400576323577771 absolute error = 1.936700799731739e-11 relative error = 4.834785996187558e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.58 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.58 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.590000999960089 y[1] (analytic) = 0.3955534758078215 y[1] (numeric) = 0.3955534757880416 absolute error = 1.977984442902425e-11 relative error = 5.000548759843089e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.59 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.59 Order of pole (three term test) = 2.412e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.600000999959267 y[1] (analytic) = 0.3906245117390971 y[1] (numeric) = 0.390624511718911 absolute error = 2.01860750337346e-11 relative error = 5.167641667918967e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.6 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.6 Order of pole (three term test) = 2.911e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.610000999958444 y[1] (analytic) = 0.3857871061366285 y[1] (numeric) = 0.3857871061160448 absolute error = 2.05837014100041e-11 relative error = 5.335507870165643e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.61 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.61 Order of pole (three term test) = 7.019e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.620000999957621 y[1] (analytic) = 0.381039005290947 y[1] (numeric) = 0.381039005269974 absolute error = 2.097300111358891e-11 relative error = 5.504161207216756e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.62 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.62 Order of pole (three term test) = 4.226e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.630000999956799 y[1] (analytic) = 0.376378024412011 y[1] (numeric) = 0.3763780243906534 absolute error = 2.135752685816783e-11 relative error = 5.67448827320171e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.63 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.63 Order of pole (three term test) = 2.541e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.640000999955976 y[1] (analytic) = 0.3718020451154849 y[1] (numeric) = 0.3718020450937514 absolute error = 2.173344837430591e-11 relative error = 5.845435403012728e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.64 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.64 Order of pole (three term test) = 3.053e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.650000999955153 y[1] (analytic) = 0.367309013015335 y[1] (numeric) = 0.3673090129932302 absolute error = 2.210476246489179e-11 relative error = 6.018028875313476e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.65 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.65 Order of pole (three term test) = 3.664e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.660000999954331 y[1] (analytic) = 0.3628969354176349 y[1] (numeric) = 0.3628969353951672 absolute error = 2.246774988279299e-11 relative error = 6.191220616656982e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.66 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.66 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.670000999953508 y[1] (analytic) = 0.3585638791107477 y[1] (numeric) = 0.3585638790879249 absolute error = 2.282274369491688e-11 relative error = 6.365042611519646e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.67 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.67 Order of pole (three term test) = 5.259e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.680000999952685 y[1] (analytic) = 0.3543079682473071 y[1] (numeric) = 0.3543079682241337 absolute error = 2.317340763724474e-11 relative error = 6.540470357434832e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.68 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.68 Order of pole (three term test) = 6.291e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.690000999951863 y[1] (analytic) = 0.3501273823136672 y[1] (numeric) = 0.3501273822901519 absolute error = 2.351524530652682e-11 relative error = 6.716197159769788e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.69 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.69 Order of pole (three term test) = 3.758e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.70000099995104 y[1] (analytic) = 0.3460203541827162 y[1] (numeric) = 0.3460203541588621 absolute error = 2.385414088479365e-11 relative error = 6.893854825718565e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.7 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.7 Order of pole (three term test) = 4.486e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.710000999950217 y[1] (analytic) = 0.341985168246164 y[1] (numeric) = 0.3419851682219746 absolute error = 2.418942823823045e-11 relative error = 7.073238983515999e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.71 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.71 Order of pole (three term test) = 5.349e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.720000999949395 y[1] (analytic) = 0.3380201586226202 y[1] (numeric) = 0.3380201585981041 absolute error = 2.45161113632264e-11 relative error = 7.252854818814876e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.72 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.72 Order of pole (three term test) = 6.372e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.730000999948572 y[1] (analytic) = 0.3341237074379673 y[1] (numeric) = 0.3341237074131299 absolute error = 2.483746541770415e-11 relative error = 7.433613618188234e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.73 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.73 Order of pole (three term test) = 7.582e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.740000999947749 y[1] (analytic) = 0.3302942431747132 y[1] (numeric) = 0.3302942431495596 absolute error = 2.51536569351174e-11 relative error = 7.615529926693895e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.74 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.74 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.750000999946927 y[1] (analytic) = 0.326530239087181 y[1] (numeric) = 0.3265302390617204 absolute error = 2.546068911257748e-11 relative error = 7.79734495149764e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.75 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.75 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.760000999946104 y[1] (analytic) = 0.3228302116795511 y[1] (numeric) = 0.3228302116537889 absolute error = 2.576217017491444e-11 relative error = 7.980098901179231e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.76 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.76 Order of pole (three term test) = 3.175e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.770000999945281 y[1] (analytic) = 0.3191927192439222 y[1] (numeric) = 0.3191927192178607 absolute error = 2.606148630235339e-11 relative error = 8.164812268928226e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.77 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.77 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.780000999944459 y[1] (analytic) = 0.3156163604557023 y[1] (numeric) = 0.315616360429348 absolute error = 2.635425211394704e-11 relative error = 8.350090621378272e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.78 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.78 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.790000999943636 y[1] (analytic) = 0.3120997730237749 y[1] (numeric) = 0.3120997729971299 absolute error = 2.664501952409637e-11 relative error = 8.537340244097718e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.79 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.79 Order of pole (three term test) = 5.271e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.800000999942813 y[1] (analytic) = 0.308641632393011 y[1] (numeric) = 0.3086416323660818 absolute error = 2.692912559609795e-11 relative error = 8.725046387069247e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.8 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.8 Order of pole (three term test) = 6.23e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.810000999941991 y[1] (analytic) = 0.305240650496822 y[1] (numeric) = 0.3052406504696162 absolute error = 2.720579317383454e-11 relative error = 8.912899749608476e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.81 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.81 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.820000999941168 y[1] (analytic) = 0.3018955745575587 y[1] (numeric) = 0.3018955745300789 absolute error = 2.747979621631202e-11 relative error = 9.102417700751289e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.82 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.82 Order of pole (three term test) = 8.679e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.830000999940345 y[1] (analytic) = 0.2986051859326696 y[1] (numeric) = 0.2986051859049205 absolute error = 2.774913632208609e-11 relative error = 9.292918418484214e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.83 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.83 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.840000999939523 y[1] (analytic) = 0.2953682990046374 y[1] (numeric) = 0.2953682989766234 absolute error = 2.801403553576165e-11 relative error = 9.484442179531872e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.84 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.84 Order of pole (three term test) = 3.012e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.8500009999387 y[1] (analytic) = 0.2921837601128023 y[1] (numeric) = 0.2921837600845241 absolute error = 2.827821310447121e-11 relative error = 9.678228897305566e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.85 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.85 Order of pole (three term test) = 1.063e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.860000999937877 y[1] (analytic) = 0.2890504465252771 y[1] (numeric) = 0.2890504464967406 absolute error = 2.853645097999902e-11 relative error = 9.872481195943611e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = -1e-06 Radius of convergence (given) for eq 1 = 1.86 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.86 Order of pole (three term test) = 4.166e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.870000999937055 y[1] (analytic) = 0.2859672654492443 y[1] (numeric) = 0.2859672654204545 absolute error = 2.878980387421848e-11 relative error = 1.006751728348723e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = -1e-06 Radius of convergence (given) for eq 1 = 1.87 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.87 Order of pole (three term test) = 4.892e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.880000999936232 y[1] (analytic) = 0.2829331530780047 y[1] (numeric) = 0.2829331530489645 absolute error = 2.904021467742268e-11 relative error = 1.02639843940156e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = -1e-06 Radius of convergence (given) for eq 1 = 1.88 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.88 Order of pole (three term test) = 2.871e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.890000999935409 y[1] (analytic) = 0.2799470736732262 y[1] (numeric) = 0.2799470736439407 absolute error = 2.928557396586484e-11 relative error = 1.046111094558145e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = -1e-06 Radius of convergence (given) for eq 1 = 1.89 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.89 Order of pole (three term test) = 3.366e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.900000999934587 y[1] (analytic) = 0.2770080186809164 y[1] (numeric) = 0.2770080186513921 absolute error = 2.952427191615925e-11 relative error = 1.065827338022588e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = -1e-06 Radius of convergence (given) for eq 1 = 1.9 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.9 Order of pole (three term test) = 7.887e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.910000999933764 y[1] (analytic) = 0.2741150058797074 y[1] (numeric) = 0.2741150058499454 absolute error = 2.976202617688273e-11 relative error = 1.085749613793252e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = -1e-06 Radius of convergence (given) for eq 1 = 1.91 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.91 Order of pole (three term test) = 4.616e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.920000999932941 y[1] (analytic) = 0.2712670785601128 y[1] (numeric) = 0.2712670785301181 absolute error = 2.999478443399539e-11 relative error = 1.10572888509759e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = -1e-06 Radius of convergence (given) for eq 1 = 1.92 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.92 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.930000999932119 y[1] (analytic) = 0.2684633047334744 y[1] (numeric) = 0.2684633047032475 absolute error = 3.022693206844451e-11 relative error = 1.125924159298168e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = -1e-06 Radius of convergence (given) for eq 1 = 1.93 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.93 Order of pole (three term test) = 3.155e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.940000999931296 y[1] (analytic) = 0.2657027763693779 y[1] (numeric) = 0.2657027763389235 absolute error = 3.045447227734144e-11 relative error = 1.146185700182668e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = -1e-06 Radius of convergence (given) for eq 1 = 1.94 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.94 Order of pole (three term test) = 3.684e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.950000999930473 y[1] (analytic) = 0.2629846086603741 y[1] (numeric) = 0.262984608629697 absolute error = 3.067712750493001e-11 relative error = 1.166498969700061e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = -1e-06 Radius of convergence (given) for eq 1 = 1.95 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.95 Order of pole (three term test) = 8.596e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.960000999929651 y[1] (analytic) = 0.2603079393128911 y[1] (numeric) = 0.2603079392819905 absolute error = 3.090061539978706e-11 relative error = 1.187079252417438e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = -1e-06 Radius of convergence (given) for eq 1 = 1.96 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.96 Order of pole (three term test) = 7.516e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.970000999928828 y[1] (analytic) = 0.2576719278632797 y[1] (numeric) = 0.2576719278321614 absolute error = 3.111833013491605e-11 relative error = 1.207672500181214e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = -1e-06 Radius of convergence (given) for eq 1 = 1.97 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.97 Order of pole (three term test) = 8.756e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.980000999928005 y[1] (analytic) = 0.255075755017977 y[1] (numeric) = 0.2550757549866456 absolute error = 3.133138193334162e-11 relative error = 1.228316737948437e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = -1e-06 Radius of convergence (given) for eq 1 = 1.98 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.98 Order of pole (three term test) = 3.397e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.990000999927183 y[1] (analytic) = 0.2525186220168216 y[1] (numeric) = 0.2525186219852804 absolute error = 3.154121408499577e-11 relative error = 1.249064874229143e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = -1e-06 Radius of convergence (given) for eq 1 = 1.99 Order of pole (given) = 2 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.99 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; Iterations = 1300001 Total Elapsed Time = 20.0 Seconds Elapsed Time(since restart) = 20.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 20.0 Seconds Time to Timeout = 9 Minutes 40.0 Seconds Percent Done = 0 %