##############ECHO OF PROBLEM################# ##############temp/add_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) + 1.0 ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=40; ! // 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; 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 double exact_soln_y (double x) { return(c(2.0) - c(cos(x)) + c(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -5 y[1] (closed_form) = -3.283662185463226 y[1] (numeric) = -3.283662185463226 absolute error = 0 relative error = 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 = 0.272 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.989999999999997 y[1] (closed_form) = -3.264058919545421 y[1] (numeric) = -3.264058919545427 absolute error = 6.661338147750939e-15 relative error = 2.040814308792763e-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 = 0.2636 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.979999999999993 y[1] (closed_form) = -3.244428247964042 y[1] (numeric) = -3.244428247964055 absolute error = 1.287858708565182e-14 relative error = 3.969447342142161e-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 = 0.255 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.96999999999999 y[1] (closed_form) = -3.224771133778224 y[1] (numeric) = -3.224771133778244 absolute error = 1.998401444325282e-14 relative error = 6.197033406162701e-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 = 0.2464 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.959999999999987 y[1] (closed_form) = -3.205088542691335 y[1] (numeric) = -3.205088542691362 absolute error = 2.708944180085382e-14 relative error = 8.452010432793419e-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 = 0.2376 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.949999999999983 y[1] (closed_form) = -3.185381442954418 y[1] (numeric) = -3.185381442954451 absolute error = 3.33066907387547e-14 relative error = 1.045610748201728e-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 = 0.2288 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.93999999999998 y[1] (closed_form) = -3.165650805269355 y[1] (numeric) = -3.165650805269395 absolute error = 3.996802888650564e-14 relative error = 1.262553305626041e-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 = 0.2198 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.929999999999977 y[1] (closed_form) = -3.145897602691808 y[1] (numeric) = -3.145897602691854 absolute error = 4.574118861455645e-14 relative error = 1.453994833634054e-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 = 0.2108 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.919999999999973 y[1] (closed_form) = -3.126122810533905 y[1] (numeric) = -3.126122810533957 absolute error = 5.195843755245733e-14 relative error = 1.662072819960116e-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 = 0.2017 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.90999999999997 y[1] (closed_form) = -3.106327406266718 y[1] (numeric) = -3.106327406266777 absolute error = 5.861977570020827e-14 relative error = 1.887108731099899e-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 = 0.1925 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.899999999999967 y[1] (closed_form) = -3.086512369422509 y[1] (numeric) = -3.086512369422574 absolute error = 6.439293542825908e-14 relative error = 2.086268503771041e-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 = 0.1832 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.889999999999963 y[1] (closed_form) = -3.066678681496785 y[1] (numeric) = -3.066678681496856 absolute error = 7.149836278586008e-14 relative error = 2.331459217336821e-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 = 0.1739 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.87999999999996 y[1] (closed_form) = -3.046827325850142 y[1] (numeric) = -3.046827325850221 absolute error = 7.860379014346108e-14 relative error = 2.579857068911138e-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 = 0.1645 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.869999999999957 y[1] (closed_form) = -3.026959287609937 y[1] (numeric) = -3.026959287610023 absolute error = 8.570921750106208e-14 relative error = 2.83152858553104e-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 = 0.155 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.859999999999953 y[1] (closed_form) = -3.00707555357177 y[1] (numeric) = -3.007075553571862 absolute error = 9.237055564881302e-14 relative error = 3.071773688529254e-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 = 0.1455 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.84999999999995 y[1] (closed_form) = -2.987177112100808 y[1] (numeric) = -2.987177112100907 absolute error = 9.903189379656396e-14 relative error = 3.315233415367102e-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 = 0.1359 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.839999999999947 y[1] (closed_form) = -2.96726495303295 y[1] (numeric) = -2.967264953033056 absolute error = 1.06581410364015e-13 relative error = 3.591907431625689e-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 = 0.1262 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.829999999999943 y[1] (closed_form) = -2.947340067575842 y[1] (numeric) = -2.947340067575955 absolute error = 1.127986593019159e-13 relative error = 3.82713418593368e-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 = 0.1165 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.81999999999994 y[1] (closed_form) = -2.92740344820976 y[1] (numeric) = -2.927403448209879 absolute error = 1.194599974496668e-13 relative error = 4.080749359051348e-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 = 0.1068 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.809999999999937 y[1] (closed_form) = -2.90745608858836 y[1] (numeric) = -2.907456088588485 absolute error = 1.256772463875677e-13 relative error = 4.322584505432275e-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 = 0.09699 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.799999999999933 y[1] (closed_form) = -2.887498983439313 y[1] (numeric) = -2.887498983439445 absolute error = 1.323385845353187e-13 relative error = 4.583156056307579e-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 = 0.08716 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.78999999999993 y[1] (closed_form) = -2.867533128464839 y[1] (numeric) = -2.867533128464978 absolute error = 1.389999226830696e-13 relative error = 4.847369374856518e-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 = 0.0773 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.779999999999927 y[1] (closed_form) = -2.847559520242128 y[1] (numeric) = -2.847559520242274 absolute error = 1.456612608308205e-13 relative error = 5.115301709951087e-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 = 0.06741 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.769999999999923 y[1] (closed_form) = -2.827579156123693 y[1] (numeric) = -2.827579156123845 absolute error = 1.527666881884215e-13 relative error = 5.402737810454377e-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 = 0.05748 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.75999999999992 y[1] (closed_form) = -2.807593034137628 y[1] (numeric) = -2.807593034137787 absolute error = 1.594280263361725e-13 relative error = 5.678459249530869e-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 = 0.04754 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.749999999999917 y[1] (closed_form) = -2.78760215288781 y[1] (numeric) = -2.787602152887975 absolute error = 1.656452752740734e-13 relative error = 5.942213636995277e-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 = 0.03758 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.739999999999913 y[1] (closed_form) = -2.767607511454038 y[1] (numeric) = -2.76760751145421 absolute error = 1.727507026316744e-13 relative error = 6.241878659337613e-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 = 0.0276 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.72999999999991 y[1] (closed_form) = -2.747610109292126 y[1] (numeric) = -2.747610109292306 absolute error = 1.798561299892754e-13 relative error = 6.545911640848204e-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 = 0.01761 Order of pole (three term test) = 33 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) = -2.726402026108635 y[1] (numeric) = -2.726402026108819 absolute error = 1.84297022087776e-13 relative error = 6.759715563695541e-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 = 0.007006 Order of pole (three term test) = 33 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] = -4.710014321330516 y[1] (closed_form) = -2.707639664508128 y[1] (numeric) = -2.707639664508333 absolute error = 2.051692149507289e-13 relative error = 7.577419463900495e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.699921998541631 y[1] (closed_form) = -2.687455339644161 y[1] (numeric) = -2.687455339644402 absolute error = 2.415845301584341e-13 relative error = 8.989341202984295e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.689829675752747 y[1] (closed_form) = -2.6672722845607 y[1] (numeric) = -2.667272284560981 absolute error = 2.815525590449397e-13 relative error = 1.055582366579839e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.679935241645997 y[1] (closed_form) = -2.647487199564495 y[1] (numeric) = -2.647487199564814 absolute error = 3.19300141882195e-13 relative error = 1.206049804262393e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.669842918857112 y[1] (closed_form) = -2.627309692083079 y[1] (numeric) = -2.627309692083437 absolute error = 3.579359031391505e-13 relative error = 1.362366622472126e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.659948484750362 y[1] (closed_form) = -2.60753202108735 y[1] (numeric) = -2.607532021087745 absolute error = 3.947953075567057e-13 relative error = 1.514057370586286e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.649856161961478 y[1] (closed_form) = -2.587364089807147 y[1] (numeric) = -2.58736408980758 absolute error = 4.329869796038111e-13 relative error = 1.673467531336435e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.639961727854728 y[1] (closed_form) = -2.567597780741568 y[1] (numeric) = -2.567597780742039 absolute error = 4.707345624410664e-13 relative error = 1.833365669544666e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.629869405065843 y[1] (closed_form) = -2.547443450436464 y[1] (numeric) = -2.547443450436973 absolute error = 5.093703236980218e-13 relative error = 1.999535352240103e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08215 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.619974970959094 y[1] (closed_form) = -2.527692446692103 y[1] (numeric) = -2.527692446692649 absolute error = 5.45785638905727e-13 relative error = 2.15922486780374e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09189 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.609882648170209 y[1] (closed_form) = -2.507555736702978 y[1] (numeric) = -2.507555736703561 absolute error = 5.835332217429823e-13 relative error = 2.327099705908162e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.599988214063459 y[1] (closed_form) = -2.487823975557084 y[1] (numeric) = -2.487823975557704 absolute error = 6.199485369506874e-13 relative error = 2.49193087228716e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.589895891274574 y[1] (closed_form) = -2.467708898186255 y[1] (numeric) = -2.467708898186913 absolute error = 6.581402089977928e-13 relative error = 2.66700910095806e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.580001457167825 y[1] (closed_form) = -2.448000309229484 y[1] (numeric) = -2.448000309230181 absolute error = 6.972200594645983e-13 relative error = 2.848120798171184e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.56990913437894 y[1] (closed_form) = -2.427910868137965 y[1] (numeric) = -2.4279108681387 absolute error = 7.354117315117037e-13 relative error = 3.028989824802391e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.56001470027219 y[1] (closed_form) = -2.408229371704676 y[1] (numeric) = -2.408229371705449 absolute error = 7.73159314348959e-13 relative error = 3.210488682818758e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.15 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.549922377483306 y[1] (closed_form) = -2.388169560312885 y[1] (numeric) = -2.388169560313695 absolute error = 8.104628079763643e-13 relative error = 3.393656888710121e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1596 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.539830054694421 y[1] (closed_form) = -2.368126224111094 y[1] (numeric) = -2.368126224111944 absolute error = 8.499867476530198e-13 relative error = 3.589279739394268e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.529935620587671 y[1] (closed_form) = -2.348492865807695 y[1] (numeric) = -2.348492865808581 absolute error = 8.86402062860725e-13 relative error = 3.774344285929407e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.519843297798786 y[1] (closed_form) = -2.32848514639142 y[1] (numeric) = -2.328485146392344 absolute error = 9.237055564881302e-13 relative error = 3.966980669469363e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.509948863692037 y[1] (closed_form) = -2.308888649908821 y[1] (numeric) = -2.308888649909781 absolute error = 9.596767824859853e-13 relative error = 4.15644462769516e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.499856540903152 y[1] (closed_form) = -2.288920508054174 y[1] (numeric) = -2.288920508055172 absolute error = 9.983125437429408e-13 relative error = 4.361499406511119e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2062 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.489962106796402 y[1] (closed_form) = -2.269364748950593 y[1] (numeric) = -2.26936474895163 absolute error = 1.036504215790046e-12 relative error = 4.567376030095425e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2152 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.479869784007517 y[1] (closed_form) = -2.249440129624144 y[1] (numeric) = -2.24944012962522 absolute error = 1.076028155466702e-12 relative error = 4.783537651417705e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.469975349900768 y[1] (closed_form) = -2.229928967184962 y[1] (numeric) = -2.229928967186075 absolute error = 1.112887559884257e-12 relative error = 4.990686144093432e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.233 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.459883027111883 y[1] (closed_form) = -2.210051797967897 y[1] (numeric) = -2.210051797969046 absolute error = 1.149302875091962e-12 relative error = 5.200343612528564e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.449988593005133 y[1] (closed_form) = -2.190589073664038 y[1] (numeric) = -2.190589073665223 absolute error = 1.184830011879967e-12 relative error = 5.408727844598387e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2505 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.439896270216249 y[1] (closed_form) = -2.170763263183256 y[1] (numeric) = -2.170763263184477 absolute error = 1.220801237877822e-12 relative error = 5.623834061424145e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.430001836109499 y[1] (closed_form) = -2.151352799136685 y[1] (numeric) = -2.151352799137942 absolute error = 1.257216553085527e-12 relative error = 5.843841854251126e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.419909513320614 y[1] (closed_form) = -2.131582235503471 y[1] (numeric) = -2.131582235504764 absolute error = 1.293187779083382e-12 relative error = 6.066797506303745e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.410015079213864 y[1] (closed_form) = -2.112227832960418 y[1] (numeric) = -2.112227832961748 absolute error = 1.330047183500938e-12 relative error = 6.296892611422482e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.39992275642498 y[1] (closed_form) = -2.092516382217311 y[1] (numeric) = -2.092516382218678 absolute error = 1.367350677128343e-12 relative error = 6.534480153887472e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.389830433636095 y[1] (closed_form) = -2.072836242078314 y[1] (numeric) = -2.072836242079719 absolute error = 1.404654170755748e-12 relative error = 6.776484037867756e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.379935999529345 y[1] (closed_form) = -2.053573324606306 y[1] (numeric) = -2.053573324607746 absolute error = 1.439737218333903e-12 relative error = 7.010887807524075e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.36984367674046 y[1] (closed_form) = -2.033958070564114 y[1] (numeric) = -2.03395807056559 absolute error = 1.476596622751458e-12 relative error = 7.259720070541707e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.359949242633711 y[1] (closed_form) = -2.014760634900379 y[1] (numeric) = -2.014760634901891 absolute error = 1.512123759539463e-12 relative error = 7.505227833748257e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.349856919844826 y[1] (closed_form) = -1.995214070958001 y[1] (numeric) = -1.99521407095955 absolute error = 1.549427253166868e-12 relative error = 7.76571935673505e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3316 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.339962485738076 y[1] (closed_form) = -1.976085833253058 y[1] (numeric) = -1.976085833254644 absolute error = 1.586064612979499e-12 relative error = 8.026294133026086e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.329870162949192 y[1] (closed_form) = -1.956611735974752 y[1] (numeric) = -1.956611735976374 absolute error = 1.622479928187204e-12 relative error = 8.29229375637426e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.319975728842442 y[1] (closed_form) = -1.937556384737503 y[1] (numeric) = -1.937556384739161 absolute error = 1.658451154185059e-12 relative error = 8.55949879574598e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.309883406053557 y[1] (closed_form) = -1.918158501740199 y[1] (numeric) = -1.918158501741894 absolute error = 1.695532603207539e-12 relative error = 8.839376942360664e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3604 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.299988971946807 y[1] (closed_form) = -1.899179696364521 y[1] (numeric) = -1.899179696366252 absolute error = 1.731059739995544e-12 relative error = 9.114775938839288e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.289896649157923 y[1] (closed_form) = -1.879861744820811 y[1] (numeric) = -1.879861744822579 absolute error = 1.767697099808174e-12 relative error = 9.403335669116836e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.280002215051173 y[1] (closed_form) = -1.860963114123791 y[1] (numeric) = -1.860963114125595 absolute error = 1.803890370410954e-12 relative error = 9.693316093802814e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.269909892262288 y[1] (closed_form) = -1.841728779277075 y[1] (numeric) = -1.841728779278914 absolute error = 1.839417507198959e-12 relative error = 9.987450529610431e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.260015458155539 y[1] (closed_form) = -1.822913920049451 y[1] (numeric) = -1.822913920051326 absolute error = 1.874944643986964e-12 relative error = 1.028542611565609e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.249923135366654 y[1] (closed_form) = -1.80376685374184 y[1] (numeric) = -1.803766853743751 absolute error = 1.910471780774969e-12 relative error = 1.059156717960403e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3993 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.239830812577769 y[1] (closed_form) = -1.784665230287331 y[1] (numeric) = -1.784665230289277 absolute error = 1.945776872958049e-12 relative error = 1.090275554169215e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.229936378471019 y[1] (closed_form) = -1.765983148524804 y[1] (numeric) = -1.765983148526784 absolute error = 1.979527652906654e-12 relative error = 1.120921031755163e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.219844055682135 y[1] (closed_form) = -1.746974223283888 y[1] (numeric) = -1.746974223285903 absolute error = 2.015720923509434e-12 relative error = 1.153835526960649e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4167 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.209949621575385 y[1] (closed_form) = -1.72838477274428 y[1] (numeric) = -1.72838477274633 absolute error = 2.050581926482664e-12 relative error = 1.186415177233255e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.1998572987865 y[1] (closed_form) = -1.709472107517589 y[1] (numeric) = -1.709472107519674 absolute error = 2.085442929455894e-12 relative error = 1.219933873319683e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.18996286467975 y[1] (closed_form) = -1.690978761487413 y[1] (numeric) = -1.690978761489532 absolute error = 2.119859843219274e-12 relative error = 1.253628899132128e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.179870541890866 y[1] (closed_form) = -1.672165879623829 y[1] (numeric) = -1.672165879625984 absolute error = 2.155164935402354e-12 relative error = 1.288846376824278e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.169976107784116 y[1] (closed_form) = -1.653772072999963 y[1] (numeric) = -1.653772073002153 absolute error = 2.190025938375584e-12 relative error = 1.324261047898124e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.159883784995231 y[1] (closed_form) = -1.63506245798919 y[1] (numeric) = -1.635062457991415 absolute error = 2.225108985953739e-12 relative error = 1.360870941095542e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.149989350888482 y[1] (closed_form) = -1.616771585906785 y[1] (numeric) = -1.616771585909045 absolute error = 2.259303855112194e-12 relative error = 1.39741684898862e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.139897028099597 y[1] (closed_form) = -1.598168679987842 y[1] (numeric) = -1.598168679990137 absolute error = 2.294386902690349e-12 relative error = 1.435635006129517e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4554 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.130002593992847 y[1] (closed_form) = -1.579984096464111 y[1] (numeric) = -1.57998409646644 absolute error = 2.328359727243878e-12 relative error = 1.473660230159643e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.119910271203962 y[1] (closed_form) = -1.56149129925031 y[1] (numeric) = -1.561491299252673 absolute error = 2.362776641007258e-12 relative error = 1.513153894704155e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4632 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.110015837097213 y[1] (closed_form) = -1.543416315844738 y[1] (numeric) = -1.543416315847137 absolute error = 2.398081733190338e-12 relative error = 1.553749113943911e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.099923514308328 y[1] (closed_form) = -1.525036982965678 y[1] (numeric) = -1.525036982968111 absolute error = 2.432720691558643e-12 relative error = 1.595187997885683e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4704 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.089831191519443 y[1] (closed_form) = -1.506716204645345 y[1] (numeric) = -1.506716204647812 absolute error = 2.466915560717098e-12 relative error = 1.637279504336231e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.079936757412693 y[1] (closed_form) = -1.488812309218345 y[1] (numeric) = -1.488812309220845 absolute error = 2.500888385270628e-12 relative error = 1.679787552659101e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.069844434623809 y[1] (closed_form) = -1.470609959436858 y[1] (numeric) = -1.470609959439394 absolute error = 2.535083254429082e-12 relative error = 1.723831147859112e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.059950000517059 y[1] (closed_form) = -1.452823764360349 y[1] (numeric) = -1.452823764362918 absolute error = 2.569056078982612e-12 relative error = 1.768319146482106e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.049857677728174 y[1] (closed_form) = -1.434743082726007 y[1] (numeric) = -1.43474308272861 absolute error = 2.602806858931217e-12 relative error = 1.814127484055119e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.039963243621425 y[1] (closed_form) = -1.41707774042036 y[1] (numeric) = -1.417077740422996 absolute error = 2.636335594274897e-12 relative error = 1.86040293985061e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.02987092083254 y[1] (closed_form) = -1.399121917940246 y[1] (numeric) = -1.399121917942916 absolute error = 2.670308418828427e-12 relative error = 1.9085602080765e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.01997648672579 y[1] (closed_form) = -1.38158053255033 y[1] (numeric) = -1.381580532553033 absolute error = 2.702948975752406e-12 relative error = 1.956417966285972e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.009884163936905 y[1] (closed_form) = -1.363752710355645 y[1] (numeric) = -1.363752710358382 absolute error = 2.736921800305936e-12 relative error = 2.006904755915894e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.999989729830156 y[1] (closed_form) = -1.346338336510851 y[1] (numeric) = -1.34633833651362 absolute error = 2.769118268020065e-12 relative error = 2.05677740351394e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.989897407041294 y[1] (closed_form) = -1.328641604602208 y[1] (numeric) = -1.328641604604971 absolute error = 2.762456929872315e-12 relative error = 2.079158834333948e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.980002972934567 y[1] (closed_form) = -1.311357246196295 y[1] (numeric) = -1.311357246199051 absolute error = 2.756017636329489e-12 relative error = 2.101652806146879e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.969910650145704 y[1] (closed_form) = -1.293794642209274 y[1] (numeric) = -1.293794642212024 absolute error = 2.749800387391588e-12 relative error = 2.125376236445105e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.960016216038977 y[1] (closed_form) = -1.276643251200326 y[1] (numeric) = -1.276643251203069 absolute error = 2.742694960033987e-12 relative error = 2.148364437328321e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.949923893250115 y[1] (closed_form) = -1.259217759192188 y[1] (numeric) = -1.259217759194925 absolute error = 2.736699755701011e-12 relative error = 2.173333194932587e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.939831570461253 y[1] (closed_form) = -1.241862618445881 y[1] (numeric) = -1.24186261844861 absolute error = 2.72959432834341e-12 relative error = 2.19798413109442e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4998 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.929937136354525 y[1] (closed_form) = -1.224916783681198 y[1] (numeric) = -1.224916783683922 absolute error = 2.723155034800584e-12 relative error = 2.223134723174242e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.919844813565663 y[1] (closed_form) = -1.207703142162741 y[1] (numeric) = -1.207703142165457 absolute error = 2.716715741257758e-12 relative error = 2.249489668787891e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.909950379458936 y[1] (closed_form) = -1.190897433593326 y[1] (numeric) = -1.190897433596036 absolute error = 2.710276447714932e-12 relative error = 2.275826927880048e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.899858056670074 y[1] (closed_form) = -1.173828135964425 y[1] (numeric) = -1.173828135967129 absolute error = 2.704281243381956e-12 relative error = 2.303813616769461e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.889963622563346 y[1] (closed_form) = -1.1571653143483 y[1] (numeric) = -1.157165314350998 absolute error = 2.698063994444055e-12 relative error = 2.331614991383983e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.879871299774484 y[1] (closed_form) = -1.140243147611464 y[1] (numeric) = -1.140243147614157 absolute error = 2.692734923925855e-12 relative error = 2.361544491248633e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.869976865667756 y[1] (closed_form) = -1.123725916629436 y[1] (numeric) = -1.123725916632123 absolute error = 2.686961764197804e-12 relative error = 2.391118443060584e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.859884542878894 y[1] (closed_form) = -1.106953609014688 y[1] (numeric) = -1.106953609017368 absolute error = 2.679856336840203e-12 relative error = 2.420929219631502e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.849990108772167 y[1] (closed_form) = -1.090584614190343 y[1] (numeric) = -1.090584614193017 absolute error = 2.674527266322002e-12 relative error = 2.452379422487625e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4941 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.839897785983305 y[1] (closed_form) = -1.073964834065404 y[1] (numeric) = -1.073964834068072 absolute error = 2.667865928174251e-12 relative error = 2.484127825745715e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.830003351876577 y[1] (closed_form) = -1.057746661708336 y[1] (numeric) = -1.057746661710998 absolute error = 2.66164867923635e-12 relative error = 2.516338529433502e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.819911029087715 y[1] (closed_form) = -1.041282016512733 y[1] (numeric) = -1.041282016515389 absolute error = 2.655875519508299e-12 relative error = 2.550582337341099e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.810016594980988 y[1] (closed_form) = -1.025217192685422 y[1] (numeric) = -1.025217192688072 absolute error = 2.650102359780249e-12 relative error = 2.584917984879529e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.799924272192126 y[1] (closed_form) = -1.008910227888923 y[1] (numeric) = -1.008910227891567 absolute error = 2.643885110842348e-12 relative error = 2.620535541972352e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.789831949403264 y[1] (closed_form) = -0.9926838311276547 y[1] (numeric) = -0.9926838311302925 absolute error = 2.637778884206909e-12 relative error = 2.657219551174197e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.779937515296536 y[1] (closed_form) = -0.9768544154834919 y[1] (numeric) = -0.9768544154861242 absolute error = 2.632227769083784e-12 relative error = 2.694595763055407e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.769845192507674 y[1] (closed_form) = -0.9607894108874979 y[1] (numeric) = -0.9607894108901242 absolute error = 2.626232564750808e-12 relative error = 2.733411229339956e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.759950758400946 y[1] (closed_form) = -0.9451194003669974 y[1] (numeric) = -0.9451194003696177 absolute error = 2.620348382720294e-12 relative error = 2.772505126550986e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.749858435612084 y[1] (closed_form) = -0.92921817376675 y[1] (numeric) = -0.9292181737693643 absolute error = 2.614353178387319e-12 relative error = 2.813497682454462e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.739964001505357 y[1] (closed_form) = -0.9137098754652246 y[1] (numeric) = -0.9137098754678337 absolute error = 2.609024107869118e-12 relative error = 2.855418528272671e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.729871678716495 y[1] (closed_form) = -0.8979747472689041 y[1] (numeric) = -0.8979747472715075 absolute error = 2.60336197044353e-12 relative error = 2.899148309416697e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.719977244609767 y[1] (closed_form) = -0.8826304036845647 y[1] (numeric) = -0.8826304036871622 absolute error = 2.597477788413016e-12 relative error = 2.942882748622498e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.709884921820905 y[1] (closed_form) = -0.8670636279511559 y[1] (numeric) = -0.8670636279537481 absolute error = 2.592259740197278e-12 relative error = 2.989699552180163e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.699990487714178 y[1] (closed_form) = -0.8518854160893277 y[1] (numeric) = -0.8518854160919143 absolute error = 2.58659760277169e-12 relative error = 3.03632102853192e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.689898164925316 y[1] (closed_form) = -0.8364891796282206 y[1] (numeric) = -0.836489179630801 absolute error = 2.580491376136251e-12 relative error = 3.084907060343753e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.680003730818588 y[1] (closed_form) = -0.8214792101317245 y[1] (numeric) = -0.8214792101342998 absolute error = 2.575273327920513e-12 relative error = 3.134922096820401e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.669911408029726 y[1] (closed_form) = -0.8062556316291754 y[1] (numeric) = -0.8062556316317449 absolute error = 2.569500168192462e-12 relative error = 3.18695469202535e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.660016973922998 y[1] (closed_form) = -0.7914159479352163 y[1] (numeric) = -0.7914159479377803 absolute error = 2.563949053069337e-12 relative error = 3.239698491998567e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4304 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.649924651134136 y[1] (closed_form) = -0.7763670771080258 y[1] (numeric) = -0.7763670771105845 absolute error = 2.558731004853598e-12 relative error = 3.295774744061654e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4252 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.639832328345274 y[1] (closed_form) = -0.7614071817142132 y[1] (numeric) = -0.7614071817167664 absolute error = 2.553179889730472e-12 relative error = 3.353238518163575e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.629937894238547 y[1] (closed_form) = -0.7468274714086638 y[1] (numeric) = -0.7468274714112114 absolute error = 2.547628774607347e-12 relative error = 3.411268160505688e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.619845571449685 y[1] (closed_form) = -0.7320452366157375 y[1] (numeric) = -0.73204523661828 absolute error = 2.542521748694071e-12 relative error = 3.473175729478426e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.609951137342957 y[1] (closed_form) = -0.7176406304848788 y[1] (numeric) = -0.7176406304874161 absolute error = 2.537303700478333e-12 relative error = 3.535618793997193e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.599858814554095 y[1] (closed_form) = -0.7030379297117375 y[1] (numeric) = -0.7030379297142694 absolute error = 2.531863607657669e-12 relative error = 3.601318649615099e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3967 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.589964380447368 y[1] (closed_form) = -0.6888102293760472 y[1] (numeric) = -0.6888102293785737 absolute error = 2.526534537139469e-12 relative error = 3.667968954857288e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.579872057658505 y[1] (closed_form) = -0.674388864325441 y[1] (numeric) = -0.6743888643279625 absolute error = 2.521538533528656e-12 relative error = 3.738997879288577e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.569977623551778 y[1] (closed_form) = -0.6603398007391115 y[1] (numeric) = -0.6603398007416278 absolute error = 2.516320485312917e-12 relative error = 3.810644886914928e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3779 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.559885300762916 y[1] (closed_form) = -0.6461015006779389 y[1] (numeric) = -0.6461015006804498 absolute error = 2.510880392492254e-12 relative error = 3.886201146193976e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3712 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.549990866656188 y[1] (closed_form) = -0.6322327334374349 y[1] (numeric) = -0.6322327334399411 absolute error = 2.506217455788828e-12 relative error = 3.964074182243904e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.539898543867326 y[1] (closed_form) = -0.6181791545059747 y[1] (numeric) = -0.618179154508476 absolute error = 2.501332474480478e-12 relative error = 4.046290555493492e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3575 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.530004109760599 y[1] (closed_form) = -0.6044922711870968 y[1] (numeric) = -0.6044922711895935 absolute error = 2.496669537777052e-12 relative error = 4.130192653868202e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.519911786971737 y[1] (closed_form) = -0.5906249957374516 y[1] (numeric) = -0.590624995739943 absolute error = 2.491340467258851e-12 relative error = 4.218142620510287e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.510017352865009 y[1] (closed_form) = -0.5771215112611658 y[1] (numeric) = -0.5771215112636526 absolute error = 2.486788552857888e-12 relative error = 4.30895141548889e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.336 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.499925030076147 y[1] (closed_form) = -0.5634420472251791 y[1] (numeric) = -0.5634420472276612 absolute error = 2.482125616154462e-12 relative error = 4.405289999882603e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.489832707287285 y[1] (closed_form) = -0.5498579678343809 y[1] (numeric) = -0.5498579678368578 absolute error = 2.476907567938724e-12 relative error = 4.504631582759527e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.479938273180557 y[1] (closed_form) = -0.5366331835393754 y[1] (numeric) = -0.5366331835418476 absolute error = 2.472244631235299e-12 relative error = 4.606954446852424e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.469845950391695 y[1] (closed_form) = -0.5232390433311149 y[1] (numeric) = -0.5232390433335823 absolute error = 2.467359649926948e-12 relative error = 4.715549577911676e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.459951516284968 y[1] (closed_form) = -0.5102011298193987 y[1] (numeric) = -0.5102011298218614 absolute error = 2.462696713223522e-12 relative error = 4.826913484286617e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.449859193496106 y[1] (closed_form) = -0.4969982477282628 y[1] (numeric) = -0.4969982477307209 absolute error = 2.458089287671328e-12 relative error = 4.945871135174112e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.439964759389378 y[1] (closed_form) = -0.4841484606851707 y[1] (numeric) = -0.4841484606876242 absolute error = 2.453537373270365e-12 relative error = 5.067737631135084e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.429872436600516 y[1] (closed_form) = -0.4711380792463236 y[1] (numeric) = -0.4711380792487723 absolute error = 2.448763414264477e-12 relative error = 5.197549343032826e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.419978002493789 y[1] (closed_form) = -0.4584775992087269 y[1] (numeric) = -0.458477599211171 absolute error = 2.444155988712282e-12 relative error = 5.331025971455485e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.409885679704927 y[1] (closed_form) = -0.4456608840615699 y[1] (numeric) = -0.4456608840640097 absolute error = 2.439770607765013e-12 relative error = 5.47450021983071e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.399991245598199 y[1] (closed_form) = -0.4331908159463018 y[1] (numeric) = -0.4331908159487369 absolute error = 2.435052159910356e-12 relative error = 5.621199873757721e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.389898922809337 y[1] (closed_form) = -0.4205688553688516 y[1] (numeric) = -0.4205688553712821 absolute error = 2.430500245509393e-12 relative error = 5.779078061730868e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.380004488702609 y[1] (closed_form) = -0.408290228031341 y[1] (numeric) = -0.408290228033767 absolute error = 2.426003842259661e-12 relative error = 5.94186114607043e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.369912165913747 y[1] (closed_form) = -0.3958640325055072 y[1] (numeric) = -0.3958640325079286 absolute error = 2.421396416707466e-12 relative error = 6.116737611603501e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.36001773180702 y[1] (closed_form) = -0.3837777983287949 y[1] (numeric) = -0.3837777983312121 absolute error = 2.417177569213891e-12 relative error = 6.298377810649214e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.349925409018158 y[1] (closed_form) = -0.3715483001367375 y[1] (numeric) = -0.37154830013915 absolute error = 2.412514632510465e-12 relative error = 6.493138662248246e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.339833086229296 y[1] (closed_form) = -0.3594184536789875 y[1] (numeric) = -0.3594184536813959 absolute error = 2.408406807319352e-12 relative error = 6.700843495004312e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.329938652122568 y[1] (closed_form) = -0.3476233875027614 y[1] (numeric) = -0.3476233875051658 absolute error = 2.40435449327947e-12 relative error = 6.916549863206113e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.319846329333706 y[1] (closed_form) = -0.3356914932061574 y[1] (numeric) = -0.335691493208557 absolute error = 2.399525023122351e-12 relative error = 7.148006642065058e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1745 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.309951895226979 y[1] (closed_form) = -0.3240908677280609 y[1] (numeric) = -0.3240908677304561 absolute error = 2.395139642175081e-12 relative error = 7.390333639961746e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.299859572438117 y[1] (closed_form) = -0.3123576604225993 y[1] (numeric) = -0.3123576604249905 absolute error = 2.391198350437662e-12 relative error = 7.655321618181315e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.289965138331389 y[1] (closed_form) = -0.3009521571929805 y[1] (numeric) = -0.3009521571953676 absolute error = 2.387035014095318e-12 relative error = 7.931609583262338e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.279872815542527 y[1] (closed_form) = -0.2894182923417206 y[1] (numeric) = -0.2894182923441033 absolute error = 2.38270514429928e-12 relative error = 8.232738590987136e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1365 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.269978381435799 y[1] (closed_form) = -0.2782085149679494 y[1] (numeric) = -0.2782085149703282 absolute error = 2.378819363713092e-12 relative error = 8.550490857503553e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.259886058646937 y[1] (closed_form) = -0.266874568405179 y[1] (numeric) = -0.2668745684075536 absolute error = 2.374656027370747e-12 relative error = 8.898022923508603e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.24999162454021 y[1] (closed_form) = -0.2558610423105332 y[1] (numeric) = -0.2558610423129036 absolute error = 2.370437179877172e-12 relative error = 9.264549063316258e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.239899301751348 y[1] (closed_form) = -0.2447275100117507 y[1] (numeric) = -0.244727510014117 absolute error = 2.366273843534827e-12 relative error = 9.669014502788057e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.23000486764462 y[1] (closed_form) = -0.2339106822255297 y[1] (numeric) = -0.233910682227892 absolute error = 2.362360307373024e-12 relative error = 1.009941181350284e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.219912544855758 y[1] (closed_form) = -0.2229779801093219 y[1] (numeric) = -0.2229779801116803 absolute error = 2.358391260059989e-12 relative error = 1.057678995434309e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.210018110749031 y[1] (closed_form) = -0.2123582190882791 y[1] (numeric) = -0.2123582190906338 absolute error = 2.354644257351879e-12 relative error = 1.10880768705874e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.199925787960169 y[1] (closed_form) = -0.20162668285018 y[1] (numeric) = -0.2016266828525308 absolute error = 2.350786232341306e-12 relative error = 1.165910284844627e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.189833465171307 y[1] (closed_form) = -0.1909968274836786 y[1] (numeric) = -0.1909968274860257 absolute error = 2.347039229633197e-12 relative error = 1.228836761612577e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.179939031064579 y[1] (closed_form) = -0.1806741633097344 y[1] (numeric) = -0.1806741633120774 absolute error = 2.343042426744546e-12 relative error = 1.296833140844719e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.169846708275717 y[1] (closed_form) = -0.1702458275266254 y[1] (numeric) = -0.1702458275289651 absolute error = 2.339684002095055e-12 relative error = 1.374297412210671e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.159952274168989 y[1] (closed_form) = -0.1601208072687816 y[1] (numeric) = -0.1601208072711175 absolute error = 2.335853732660098e-12 relative error = 1.458807117265586e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.149859951380127 y[1] (closed_form) = -0.1498941252918597 y[1] (numeric) = -0.149894125294192 absolute error = 2.332217752254451e-12 relative error = 1.555910044982334e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886821346226 NO POLE (given) for Equation 1 NO 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] = -3.140005049317045 y[1] (closed_form) = -0.140006309560444 y[1] (numeric) = -0.1400063095627728 absolute error = 2.328748305302497e-12 relative error = 1.663316683807826e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.129978080185146 y[1] (closed_form) = -0.1300455285846036 y[1] (numeric) = -0.1300455285869297 absolute error = 2.326056014467781e-12 relative error = 1.788647437389222e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.119951111053246 y[1] (closed_form) = -0.1201852800951655 y[1] (numeric) = -0.1201852800974895 absolute error = 2.324015979660032e-12 relative error = 1.933694357428649e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.110007699997445 y[1] (closed_form) = -0.1105064631778601 y[1] (numeric) = -0.1105064631801818 absolute error = 2.321753900247359e-12 relative error = 2.101011862546444e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.099980730865545 y[1] (closed_form) = -0.1008463820011296 y[1] (numeric) = -0.1008463820034495 absolute error = 2.319922032256727e-12 relative error = 2.300451425447014e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.089953761733645 y[1] (closed_form) = -0.09128675306008383 y[1] (numeric) = -0.0912867530624015 absolute error = 2.317673830631861e-12 relative error = 2.538893928132592e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.079926792601745 y[1] (closed_form) = -0.08182752936868187 y[1] (numeric) = -0.08182752937099724 absolute error = 2.315370117855764e-12 relative error = 2.829573538049327e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.069983381545944 y[1] (closed_form) = -0.07254623001978988 y[1] (numeric) = -0.07254623002210341 absolute error = 2.313524372077325e-12 relative error = 3.189034594142547e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.059956412414044 y[1] (closed_form) = -0.06328680012682053 y[1] (numeric) = -0.06328680012913199 absolute error = 2.31145658169396e-12 relative error = 3.652351796997207e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.049929443282144 y[1] (closed_form) = -0.05412757466672513 y[1] (numeric) = -0.05412757466903454 absolute error = 2.309409607992308e-12 relative error = 4.266604632134044e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.039986032226344 y[1] (closed_form) = -0.04514354554740807 y[1] (numeric) = -0.04514354554971545 absolute error = 2.307376512078463e-12 relative error = 5.111199140650886e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.029959063094444 y[1] (closed_form) = -0.03618362409105425 y[1] (numeric) = -0.0361836240933594 absolute error = 2.305156066029213e-12 relative error = 6.370716377741502e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.019932093962544 y[1] (closed_form) = -0.02732361608951139 y[1] (numeric) = -0.02732361609181498 absolute error = 2.303591345453881e-12 relative error = 8.430770429167871e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.009988682906743 y[1] (closed_form) = -0.01863599397333404 y[1] (numeric) = -0.01863599397563532 absolute error = 2.30128069378388e-12 relative error = 1.234858037127908e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.999961713774843 y[1] (closed_form) = -0.009974620852382099 y[1] (numeric) = -0.009974620854681407 absolute error = 2.299308313191695e-12 relative error = 2.305158609254389e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.989934744642943 y[1] (closed_form) = -0.001412780308700956 y[1] (numeric) = -0.001412780310998644 absolute error = 2.297688081465132e-12 relative error = 1.626359078842091e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.979991333587142 y[1] (closed_form) = 0.006979564729936882 y[1] (numeric) = 0.006979564727641054 absolute error = 2.295828457898885e-12 relative error = 3.289357641532535e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.969964364455242 y[1] (closed_form) = 0.01534361824257813 y[1] (numeric) = 0.01534361824028442 absolute error = 2.29370515636429e-12 relative error = 1.494891961010422e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.959937395323343 y[1] (closed_form) = 0.02360860961226363 y[1] (numeric) = 0.02360860960997169 absolute error = 2.291937473142269e-12 relative error = 9.708057826292781e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.949993984267542 y[1] (closed_form) = 0.03170707318144839 y[1] (numeric) = 0.03170707317915816 absolute error = 2.290230505241908e-12 relative error = 7.22309023016955e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.939967015135642 y[1] (closed_form) = 0.03977530333317292 y[1] (numeric) = 0.03977530333088472 absolute error = 2.288197409328063e-12 relative error = 5.752809451033623e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.929940046003742 y[1] (closed_form) = 0.04774503090974713 y[1] (numeric) = 0.04774503090746058 absolute error = 2.286552891472837e-12 relative error = 4.789090818257357e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.919996634947941 y[1] (closed_form) = 0.05555127304432128 y[1] (numeric) = 0.05555127304203646 absolute error = 2.284825106890764e-12 relative error = 4.113002244013074e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.909969665816041 y[1] (closed_form) = 0.06332544225654191 y[1] (numeric) = 0.06332544225425851 absolute error = 2.283395694746559e-12 relative error = 3.605810892715354e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.899942696684141 y[1] (closed_form) = 0.07100175709142276 y[1] (numeric) = 0.07100175708914123 absolute error = 2.281522193392505e-12 relative error = 3.213332017198937e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.889999285628341 y[1] (closed_form) = 0.07851770075932984 y[1] (numeric) = 0.07851770075704997 absolute error = 2.279870736643375e-12 relative error = 2.903639198034552e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.879972316496441 y[1] (closed_form) = 0.08599983604169648 y[1] (numeric) = 0.08599983603941819 absolute error = 2.278288668833284e-12 relative error = 2.649177921372629e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.869945347364541 y[1] (closed_form) = 0.09338485319130996 y[1] (numeric) = 0.09338485318903329 absolute error = 2.276664967659769e-12 relative error = 2.437938155768956e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.86000193630874 y[1] (closed_form) = 0.1006126825633582 y[1] (numeric) = 0.1006126825610835 absolute error = 2.274652688427636e-12 relative error = 2.260801153965091e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.84997496717684 y[1] (closed_form) = 0.1078050736899105 y[1] (numeric) = 0.1078050736876375 absolute error = 2.273084498405353e-12 relative error = 2.108513468432507e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.83994799804494 y[1] (closed_form) = 0.1149011703126175 y[1] (numeric) = 0.1149011703103459 absolute error = 2.271544063958686e-12 relative error = 1.976954680077131e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.830004586989139 y[1] (closed_form) = 0.1218433287972225 y[1] (numeric) = 0.1218433287949521 absolute error = 2.270336696419406e-12 relative error = 1.863324581518787e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.819977617857239 y[1] (closed_form) = 0.128748526246111 y[1] (numeric) = 0.1287485262438423 absolute error = 2.268740750821507e-12 relative error = 1.762148909172494e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.809950648725339 y[1] (closed_form) = 0.1355583394633038 y[1] (numeric) = 0.1355583394610366 absolute error = 2.267158683011417e-12 relative error = 1.672459763071343e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.800007237669539 y[1] (closed_form) = 0.1422175275079711 y[1] (numeric) = 0.1422175275057056 absolute error = 2.265521104050094e-12 relative error = 1.592997110657204e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.789980268537639 y[1] (closed_form) = 0.1488383401666047 y[1] (numeric) = 0.1488383401643405 absolute error = 2.264161080844929e-12 relative error = 1.52122166795901e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.779953299405739 y[1] (closed_form) = 0.155364764689895 y[1] (numeric) = 0.1553647646876326 absolute error = 2.262412479581144e-12 relative error = 1.456194063111333e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.769926330273839 y[1] (closed_form) = 0.1617971530200339 y[1] (numeric) = 0.1617971530177729 absolute error = 2.261052456375978e-12 relative error = 1.397461212494889e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.759982919218038 y[1] (closed_form) = 0.1680834299891156 y[1] (numeric) = 0.1680834299868559 absolute error = 2.259747944322044e-12 relative error = 1.344420413403258e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.749955950086138 y[1] (closed_form) = 0.1743296155157505 y[1] (numeric) = 0.1743296155134924 absolute error = 2.258110365360722e-12 relative error = 1.295310816053915e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.739928980954238 y[1] (closed_form) = 0.1804828740485527 y[1] (numeric) = 0.1804828740462958 absolute error = 2.256889120033634e-12 relative error = 1.250472728745718e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.729985569898437 y[1] (closed_form) = 0.1864934703117194 y[1] (numeric) = 0.186493470309464 absolute error = 2.25539031895039e-12 relative error = 1.209366909833658e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.719958600766538 y[1] (closed_form) = 0.1924628186905664 y[1] (numeric) = 0.1924628186883123 absolute error = 2.25405805132084e-12 relative error = 1.171165457648638e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.709931631634638 y[1] (closed_form) = 0.1983404328881444 y[1] (numeric) = 0.1983404328858914 absolute error = 2.25297558387183e-12 relative error = 1.135913414660345e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.699988220578837 y[1] (closed_form) = 0.2040788870878965 y[1] (numeric) = 0.2040788870856445 absolute error = 2.251976383149668e-12 relative error = 1.103483273200988e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.689961251446937 y[1] (closed_form) = 0.2097750492585493 y[1] (numeric) = 0.2097750492562989 absolute error = 2.250338804188345e-12 relative error = 1.072739018363803e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.679934282315037 y[1] (closed_form) = 0.2153807526004829 y[1] (numeric) = 0.2153807525982335 absolute error = 2.249450625768645e-12 relative error = 1.044406521292656e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.669990871259236 y[1] (closed_form) = 0.2208508482455342 y[1] (numeric) = 0.2208508482432861 absolute error = 2.248173869290326e-12 relative error = 1.017960260125823e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.659963902127336 y[1] (closed_form) = 0.2262777209532967 y[1] (numeric) = 0.2262777209510496 absolute error = 2.247119157416932e-12 relative error = 9.930801618250052e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.649936932995436 y[1] (closed_form) = 0.2316154915773443 y[1] (numeric) = 0.2316154915750984 absolute error = 2.24592566766546e-12 relative error = 9.696785186389268e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.639993521939636 y[1] (closed_form) = 0.2368212536383232 y[1] (numeric) = 0.2368212536360786 absolute error = 2.24459340003591e-12 relative error = 9.478006579020502e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.629966552807736 y[1] (closed_form) = 0.241982975928019 y[1] (numeric) = 0.2419829759257751 absolute error = 2.243927266221135e-12 relative error = 9.273079056968953e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.619939583675836 y[1] (closed_form) = 0.2470570330506976 y[1] (numeric) = 0.2470570330484547 absolute error = 2.242844798772126e-12 relative error = 9.078247120015726e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.609996172620035 y[1] (closed_form) = 0.2520027243385843 y[1] (numeric) = 0.2520027243363429 absolute error = 2.241429264415729e-12 relative error = 8.894464416202908e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.599969203488135 y[1] (closed_form) = 0.2569036738303536 y[1] (numeric) = 0.2569036738281131 absolute error = 2.240541085996028e-12 relative error = 8.721327541137345e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.589942234356235 y[1] (closed_form) = 0.2617184739505976 y[1] (numeric) = 0.2617184739483582 absolute error = 2.239375351820172e-12 relative error = 8.556428279659313e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.579998823300434 y[1] (closed_form) = 0.2664085912811607 y[1] (numeric) = 0.2664085912789227 absolute error = 2.237932061888159e-12 relative error = 8.400374969613139e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.569971854168534 y[1] (closed_form) = 0.2710533802315958 y[1] (numeric) = 0.2710533802293587 absolute error = 2.237043883468459e-12 relative error = 8.253148813554972e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.559944885036634 y[1] (closed_form) = 0.2756136131209179 y[1] (numeric) = 0.2756136131186821 absolute error = 2.235822638141371e-12 relative error = 8.112163302907921e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.550001473980834 y[1] (closed_form) = 0.2800528832685978 y[1] (numeric) = 0.2800528832663624 absolute error = 2.235378548931521e-12 relative error = 7.981987269124372e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.539974504848934 y[1] (closed_form) = 0.2844463544207554 y[1] (numeric) = 0.2844463544185215 absolute error = 2.233935258999509e-12 relative error = 7.853625909703357e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.529947535717034 y[1] (closed_form) = 0.2887569389035152 y[1] (numeric) = 0.2887569389012823 absolute error = 2.232825035974884e-12 relative error = 7.732541577887264e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.520004124661233 y[1] (closed_form) = 0.2929503143483965 y[1] (numeric) = 0.2929503143461646 absolute error = 2.231881346403952e-12 relative error = 7.618634413717156e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.509977155529333 y[1] (closed_form) = 0.2970975365744271 y[1] (numeric) = 0.2970975365721957 absolute error = 2.231381746042871e-12 relative error = 7.510603324992157e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.499950186397433 y[1] (closed_form) = 0.3011636161020022 y[1] (numeric) = 0.301163616099772 absolute error = 2.230104989564552e-12 relative error = 7.404961523669678e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.490006775341632 y[1] (closed_form) = 0.3051162705737069 y[1] (numeric) = 0.3051162705714772 absolute error = 2.229771922657164e-12 relative error = 7.307941718298233e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.479979806209732 y[1] (closed_form) = 0.3090225343140158 y[1] (numeric) = 0.3090225343117871 absolute error = 2.228772721935002e-12 relative error = 7.212330734658385e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.469952837077833 y[1] (closed_form) = 0.3128494723368616 y[1] (numeric) = 0.3128494723346338 absolute error = 2.227718010061608e-12 relative error = 7.120734433149071e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.459925867945933 y[1] (closed_form) = 0.3165977079888314 y[1] (numeric) = 0.3165977079866044 absolute error = 2.226996365095602e-12 relative error = 7.034151887082402e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.449982456890132 y[1] (closed_form) = 0.320237608662413 y[1] (numeric) = 0.3202376086601867 absolute error = 2.226274720129595e-12 relative error = 6.951946491945241e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.439955487758232 y[1] (closed_form) = 0.3238309838041715 y[1] (numeric) = 0.3238309838019459 absolute error = 2.22560858631482e-12 relative error = 6.872747506028329e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.429928518626332 y[1] (closed_form) = 0.3273475684134648 y[1] (numeric) = 0.3273475684112401 absolute error = 2.22472040789512e-12 relative error = 6.796202637696485e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.419985107570531 y[1] (closed_form) = 0.3307596594127586 y[1] (numeric) = 0.3307596594105348 absolute error = 2.223887740626651e-12 relative error = 6.72357609925894e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.409958138438631 y[1] (closed_form) = 0.3341252604507612 y[1] (numeric) = 0.3341252604485379 absolute error = 2.223277117963107e-12 relative error = 6.654022850483474e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.399931169306731 y[1] (closed_form) = 0.3374160518887943 y[1] (numeric) = 0.3374160518865718 absolute error = 2.222555472997101e-12 relative error = 6.586987965023109e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.389987758250931 y[1] (closed_form) = 0.340606209922456 y[1] (numeric) = 0.3406062099202342 absolute error = 2.221889339182326e-12 relative error = 6.523337726837603e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.379960789119031 y[1] (closed_form) = 0.3437500305791339 y[1] (numeric) = 0.3437500305769125 absolute error = 2.221389738821244e-12 relative error = 6.462224119889536e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.369933819987131 y[1] (closed_form) = 0.3468210898800339 y[1] (numeric) = 0.3468210898778131 absolute error = 2.220834627308932e-12 relative error = 6.40340132740233e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.35999040893133 y[1] (closed_form) = 0.349795391346118 y[1] (numeric) = 0.349795391343898 absolute error = 2.220001960040463e-12 relative error = 6.346572925095516e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.34996343979943 y[1] (closed_form) = 0.3527236248960111 y[1] (numeric) = 0.3527236248937921 absolute error = 2.218947248167069e-12 relative error = 6.290894886389458e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.33993647066753 y[1] (closed_form) = 0.3555812108030576 y[1] (numeric) = 0.3555812108008388 absolute error = 2.218780714713375e-12 relative error = 6.239870519880395e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.329993059611729 y[1] (closed_form) = 0.3583459263216362 y[1] (numeric) = 0.358345926319418 absolute error = 2.218225603201063e-12 relative error = 6.190179489329751e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.319966090479829 y[1] (closed_form) = 0.3610649600188491 y[1] (numeric) = 0.3610649600166315 absolute error = 2.217614980537519e-12 relative error = 6.141872588305855e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.309939121347929 y[1] (closed_form) = 0.3637155233530218 y[1] (numeric) = 0.3637155233508046 absolute error = 2.2172264024789e-12 relative error = 6.096045563408255e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.299995710292129 y[1] (closed_form) = 0.3662771121240467 y[1] (numeric) = 0.3662771121218303 absolute error = 2.216393735210431e-12 relative error = 6.05113904703881e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.289968741160229 y[1] (closed_form) = 0.3687935214551654 y[1] (numeric) = 0.3687935214529495 absolute error = 2.215949646000581e-12 relative error = 6.008645806078717e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.279941772028329 y[1] (closed_form) = 0.3712436993108681 y[1] (numeric) = 0.3712436993086526 absolute error = 2.2154500456395e-12 relative error = 5.967643490655851e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.269998360972528 y[1] (closed_form) = 0.3736088033023548 y[1] (numeric) = 0.37360880330014 absolute error = 2.214839422975956e-12 relative error = 5.928231356967054e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.259971391840628 y[1] (closed_form) = 0.3759293460699986 y[1] (numeric) = 0.3759293460677837 absolute error = 2.214894934127187e-12 relative error = 5.891785138037004e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.249944422708728 y[1] (closed_form) = 0.3781859558431764 y[1] (numeric) = 0.3781859558409619 absolute error = 2.214506356068568e-12 relative error = 5.855601779635797e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.240001011652927 y[1] (closed_form) = 0.3803613938149364 y[1] (numeric) = 0.3803613938127222 absolute error = 2.214173289161181e-12 relative error = 5.821235606888327e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.229974042521027 y[1] (closed_form) = 0.3824930040572663 y[1] (numeric) = 0.382493004055052 absolute error = 2.214228800312412e-12 relative error = 5.788939344838059e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.219947073389128 y[1] (closed_form) = 0.3845630373112945 y[1] (numeric) = 0.3845630373090806 absolute error = 2.213895733405025e-12 relative error = 5.756912439852948e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.210003662333327 y[1] (closed_form) = 0.3865557986795953 y[1] (numeric) = 0.3865557986773819 absolute error = 2.213396133043943e-12 relative error = 5.725942129453249e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.199976693201427 y[1] (closed_form) = 0.3885055804312505 y[1] (numeric) = 0.3885055804290375 absolute error = 2.212952043834093e-12 relative error = 5.696062438479425e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.189949724069527 y[1] (closed_form) = 0.3903961966061105 y[1] (numeric) = 0.3903961966038974 absolute error = 2.213063066136556e-12 relative error = 5.668761851103334e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.180006313013726 y[1] (closed_form) = 0.3922134351547863 y[1] (numeric) = 0.3922134351525738 absolute error = 2.212507954624243e-12 relative error = 5.641081503878318e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.169979343881826 y[1] (closed_form) = 0.3939886560548622 y[1] (numeric) = 0.3939886560526504 absolute error = 2.211786309658237e-12 relative error = 5.613832468694859e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.159952374749926 y[1] (closed_form) = 0.3957071760252662 y[1] (numeric) = 0.3957071760230548 absolute error = 2.211342220448387e-12 relative error = 5.588329841931376e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.149925405618026 y[1] (closed_form) = 0.3973698303913915 y[1] (numeric) = 0.3973698303891803 absolute error = 2.211231198145924e-12 relative error = 5.564668047314917e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.139981994562226 y[1] (closed_form) = 0.3989642882217499 y[1] (numeric) = 0.3989642882195391 absolute error = 2.210842620087305e-12 relative error = 5.541454925555865e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.129955025430326 y[1] (closed_form) = 0.4005181877100137 y[1] (numeric) = 0.4005181877078036 absolute error = 2.210065463970068e-12 relative error = 5.518015240721644e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.119928056298426 y[1] (closed_form) = 0.4020187538099389 y[1] (numeric) = 0.4020187538077291 absolute error = 2.209843419365143e-12 relative error = 5.496866497949206e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.109984645242625 y[1] (closed_form) = 0.4034549908097338 y[1] (numeric) = 0.4034549908075244 absolute error = 2.209343819004062e-12 relative error = 5.476060203320104e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.099957676110725 y[1] (closed_form) = 0.4048518936593197 y[1] (numeric) = 0.4048518936571106 absolute error = 2.209121774399136e-12 relative error = 5.4566171209714e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.089930706978825 y[1] (closed_form) = 0.4061980433244758 y[1] (numeric) = 0.4061980433222667 absolute error = 2.209121774399136e-12 relative error = 5.438533766235954e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.079987295923024 y[1] (closed_form) = 0.4074837140234155 y[1] (numeric) = 0.4074837140212064 absolute error = 2.209177285550368e-12 relative error = 5.42151062612387e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.069960326791124 y[1] (closed_form) = 0.4087313853391992 y[1] (numeric) = 0.4087313853369898 absolute error = 2.209343819004062e-12 relative error = 5.405368655921945e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.059933357659224 y[1] (closed_form) = 0.4099309293408315 y[1] (numeric) = 0.4099309293386226 absolute error = 2.208955240945443e-12 relative error = 5.388603500832299e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.049989946603424 y[1] (closed_form) = 0.4110738237441902 y[1] (numeric) = 0.4110738237419817 absolute error = 2.208511151735593e-12 relative error = 5.372541437009478e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.039962977471524 y[1] (closed_form) = 0.4121801629056256 y[1] (numeric) = 0.4121801629034174 absolute error = 2.208289107130668e-12 relative error = 5.357582207652934e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.029936008339624 y[1] (closed_form) = 0.4132410439268699 y[1] (numeric) = 0.4132410439246622 absolute error = 2.207678484467124e-12 relative error = 5.342350468115192e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.019992597283823 y[1] (closed_form) = 0.4142490805062482 y[1] (numeric) = 0.4142490805040407 absolute error = 2.20751195101343e-12 relative error = 5.328948342662968e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.009965628151923 y[1] (closed_form) = 0.415222114059715 y[1] (numeric) = 0.4152221140575079 absolute error = 2.207123372954811e-12 relative error = 5.315524626988906e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.999938659020023 y[1] (closed_form) = 0.4161523995489813 y[1] (numeric) = 0.4161523995467742 absolute error = 2.207123372954811e-12 relative error = 5.303642068018478e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.989995247964222 y[1] (closed_form) = 0.4170336181174745 y[1] (numeric) = 0.4170336181152679 absolute error = 2.20662377259373e-12 relative error = 5.291237149068746e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.979968278832323 y[1] (closed_form) = 0.4178814925542058 y[1] (numeric) = 0.4178814925519995 absolute error = 2.206346216837574e-12 relative error = 5.279837121648492e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.969941309700423 y[1] (closed_form) = 0.418689367466301 y[1] (numeric) = 0.4186893674640946 absolute error = 2.206457239140036e-12 relative error = 5.269914668462716e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.959997898644622 y[1] (closed_form) = 0.4194519219444897 y[1] (numeric) = 0.4194519219422839 absolute error = 2.20573559417403e-12 relative error = 5.258613630732004e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.949970929512722 y[1] (closed_form) = 0.4201828963705734 y[1] (numeric) = 0.4201828963683673 absolute error = 2.206068661081417e-12 relative error = 5.250258114113744e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.939943960380822 y[1] (closed_form) = 0.4208766558020973 y[1] (numeric) = 0.4208766557998913 absolute error = 2.206068661081417e-12 relative error = 5.241603758890217e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.930000549325021 y[1] (closed_form) = 0.4215288068813647 y[1] (numeric) = 0.4215288068791588 absolute error = 2.205902127627724e-12 relative error = 5.233099355528871e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.919973580193121 y[1] (closed_form) = 0.4221512455864191 y[1] (numeric) = 0.4221512455842139 absolute error = 2.20529150496418e-12 relative error = 5.223936984719216e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.909946611061221 y[1] (closed_form) = 0.4227392873120568 y[1] (numeric) = 0.4227392873098517 absolute error = 2.205069460359255e-12 relative error = 5.216145095905225e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.900003200005421 y[1] (closed_form) = 0.4232893950218375 y[1] (numeric) = 0.4232893950196323 absolute error = 2.205180482661717e-12 relative error = 5.20962846836253e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.889976230873521 y[1] (closed_form) = 0.4238117599530469 y[1] (numeric) = 0.4238117599508415 absolute error = 2.205402527266642e-12 relative error = 5.2037313157874e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.879949261741621 y[1] (closed_form) = 0.4243025768694717 y[1] (numeric) = 0.4243025768672669 absolute error = 2.204791904603098e-12 relative error = 5.196272718563665e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.87000585068582 y[1] (closed_form) = 0.4247590930551195 y[1] (numeric) = 0.424759093052915 absolute error = 2.204514348846942e-12 relative error = 5.190034504007357e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.85997888155392 y[1] (closed_form) = 0.4251899362033957 y[1] (numeric) = 0.4251899362011914 absolute error = 2.204292304242017e-12 relative error = 5.184253239680541e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.84995191242202 y[1] (closed_form) = 0.4255921086875878 y[1] (numeric) = 0.4255921086853837 absolute error = 2.204070259637092e-12 relative error = 5.178832536237232e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.83992494329012 y[1] (closed_form) = 0.4259665781777016 y[1] (numeric) = 0.4259665781754978 absolute error = 2.203737192729704e-12 relative error = 5.173497888396225e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.829981532234319 y[1] (closed_form) = 0.426311525110759 y[1] (numeric) = 0.4263115251085554 absolute error = 2.203626170427242e-12 relative error = 5.169051364151422e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.819954563102419 y[1] (closed_form) = 0.4266337132996085 y[1] (numeric) = 0.4266337132974048 absolute error = 2.203681681578473e-12 relative error = 5.165277878616479e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.809927593970519 y[1] (closed_form) = 0.4269311096837463 y[1] (numeric) = 0.4269311096815426 absolute error = 2.203626170427242e-12 relative error = 5.161549768672518e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.799984182914719 y[1] (closed_form) = 0.4272025083189197 y[1] (numeric) = 0.4272025083167162 absolute error = 2.203459636973548e-12 relative error = 5.157880850569816e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.789957213782819 y[1] (closed_form) = 0.4274534443170657 y[1] (numeric) = 0.4274534443148622 absolute error = 2.203515148124779e-12 relative error = 5.154982787997636e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.779930244650919 y[1] (closed_form) = 0.4276825220068745 y[1] (numeric) = 0.4276825220046711 absolute error = 2.203459636973548e-12 relative error = 5.152091852231759e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.769986833595118 y[1] (closed_form) = 0.427889074964555 y[1] (numeric) = 0.4278890749623515 absolute error = 2.203459636973548e-12 relative error = 5.149604806236467e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.759959864463218 y[1] (closed_form) = 0.4280775549874689 y[1] (numeric) = 0.4280775549852653 absolute error = 2.203570659276011e-12 relative error = 5.147596816517314e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.749932895331318 y[1] (closed_form) = 0.4282471298659467 y[1] (numeric) = 0.428247129863743 absolute error = 2.203681681578473e-12 relative error = 5.145817748430181e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.739989484275517 y[1] (closed_form) = 0.4283975981129471 y[1] (numeric) = 0.4283975981107436 absolute error = 2.203515148124779e-12 relative error = 5.143621621202046e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.729962515143618 y[1] (closed_form) = 0.4285324745723313 y[1] (numeric) = 0.4285324745701276 absolute error = 2.203792703880936e-12 relative error = 5.142650404920388e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.719935546011718 y[1] (closed_form) = 0.4286514160615287 y[1] (numeric) = 0.4286514160593248 absolute error = 2.203848215032167e-12 relative error = 5.141352932602528e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.709992134955917 y[1] (closed_form) = 0.4287546110281979 y[1] (numeric) = 0.4287546110259942 absolute error = 2.203681681578473e-12 relative error = 5.139727072074669e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.699965165824017 y[1] (closed_form) = 0.4288447845668202 y[1] (numeric) = 0.4288447845646163 absolute error = 2.203903726183398e-12 relative error = 5.139164111345275e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.689938196692117 y[1] (closed_form) = 0.4289220076473681 y[1] (numeric) = 0.4289220076451644 absolute error = 2.203737192729704e-12 relative error = 5.137850596235842e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.679994785636316 y[1] (closed_form) = 0.4289867832992997 y[1] (numeric) = 0.4289867832970961 absolute error = 2.203681681578473e-12 relative error = 5.136945396382962e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.669967816504416 y[1] (closed_form) = 0.4290411947824309 y[1] (numeric) = 0.4290411947802274 absolute error = 2.203459636973548e-12 relative error = 5.135776386439849e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.659940847372516 y[1] (closed_form) = 0.4290856519720805 y[1] (numeric) = 0.4290856519698767 absolute error = 2.203792703880936e-12 relative error = 5.136020497894278e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.649997436316716 y[1] (closed_form) = 0.429120896843548 y[1] (numeric) = 0.4291208968413442 absolute error = 2.203792703880936e-12 relative error = 5.135598662500956e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.639970467184816 y[1] (closed_form) = 0.4291485193142091 y[1] (numeric) = 0.4291485193120056 absolute error = 2.203459636973548e-12 relative error = 5.134491994740507e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.629943498052916 y[1] (closed_form) = 0.4291691926125893 y[1] (numeric) = 0.4291691926103857 absolute error = 2.203626170427242e-12 relative error = 5.134632700480096e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.620000086997115 y[1] (closed_form) = 0.4291838218088815 y[1] (numeric) = 0.4291838218066776 absolute error = 2.203848215032167e-12 relative error = 5.134975045759194e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.609973117865215 y[1] (closed_form) = 0.4291936524141362 y[1] (numeric) = 0.4291936524119324 absolute error = 2.203848215032167e-12 relative error = 5.134857430057322e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.599946148733315 y[1] (closed_form) = 0.4291995452209925 y[1] (numeric) = 0.4291995452187886 absolute error = 2.203903726183398e-12 relative error = 5.134916266159184e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.590002737677514 y[1] (closed_form) = 0.4292024923968345 y[1] (numeric) = 0.4292024923946303 absolute error = 2.204181281939555e-12 relative error = 5.135527684451561e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.579975768545614 y[1] (closed_form) = 0.4292035442923954 y[1] (numeric) = 0.4292035442901914 absolute error = 2.20395923733463e-12 relative error = 5.134997757225369e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.569948799413714 y[1] (closed_form) = 0.4292036733065669 y[1] (numeric) = 0.4292036733043627 absolute error = 2.204292304242017e-12 relative error = 5.135772225014391e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.560005388357914 y[1] (closed_form) = 0.429203882627857 y[1] (numeric) = 0.4292038826256528 absolute error = 2.204236793090786e-12 relative error = 5.135640385159279e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.549978419226014 y[1] (closed_form) = 0.4292051768682879 y[1] (numeric) = 0.4292051768660835 absolute error = 2.204347815393248e-12 relative error = 5.135883568500635e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.539951450094114 y[1] (closed_form) = 0.4292085639747216 y[1] (numeric) = 0.4292085639725176 absolute error = 2.204014748485861e-12 relative error = 5.135067036117357e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.530008039038313 y[1] (closed_form) = 0.4292149820708069 y[1] (numeric) = 0.4292149820686028 absolute error = 2.204125770788323e-12 relative error = 5.135248914551432e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.519981069906413 y[1] (closed_form) = 0.4292255394926148 y[1] (numeric) = 0.4292255394904103 absolute error = 2.204458837695711e-12 relative error = 5.135898577474187e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.509954100774513 y[1] (closed_form) = 0.4292412036447131 y[1] (numeric) = 0.4292412036425091 absolute error = 2.204014748485861e-12 relative error = 5.134676563599761e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.499927131642613 y[1] (closed_form) = 0.4292629810563728 y[1] (numeric) = 0.4292629810541689 absolute error = 2.20395923733463e-12 relative error = 5.134286753334537e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.489983720586812 y[1] (closed_form) = 0.4292916046633772 y[1] (numeric) = 0.4292916046611731 absolute error = 2.204181281939555e-12 relative error = 5.13446165262871e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.479956751454913 y[1] (closed_form) = 0.4293285537679823 y[1] (numeric) = 0.4293285537657778 absolute error = 2.204458837695711e-12 relative error = 5.13466625582757e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.469929782323013 y[1] (closed_form) = 0.4293746232615623 y[1] (numeric) = 0.4293746232593578 absolute error = 2.204458837695711e-12 relative error = 5.134115334880468e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.459986371267212 y[1] (closed_form) = 0.4294303037566363 y[1] (numeric) = 0.4294303037544319 absolute error = 2.20440332654448e-12 relative error = 5.133320371805302e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.449959402135312 y[1] (closed_form) = 0.4294975265689538 y[1] (numeric) = 0.4294975265667495 absolute error = 2.204292304242017e-12 relative error = 5.132258436622518e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.439932433003412 y[1] (closed_form) = 0.4295768686933756 y[1] (numeric) = 0.4295768686911715 absolute error = 2.204125770788323e-12 relative error = 5.130922848552139e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.429989021947611 y[1] (closed_form) = 0.4296685027943747 y[1] (numeric) = 0.429668502792171 absolute error = 2.203737192729704e-12 relative error = 5.128924225065529e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.419962052815711 y[1] (closed_form) = 0.4297749608301311 y[1] (numeric) = 0.4297749608279273 absolute error = 2.203792703880936e-12 relative error = 5.127782920680636e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.409935083683811 y[1] (closed_form) = 0.4298965261964853 y[1] (numeric) = 0.4298965261942816 absolute error = 2.203737192729704e-12 relative error = 5.126203768677304e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.399991672628011 y[1] (closed_form) = 0.4300329782711634 y[1] (numeric) = 0.4300329782689598 absolute error = 2.203626170427242e-12 relative error = 5.124319021500054e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.389964703496111 y[1] (closed_form) = 0.4301875977432705 y[1] (numeric) = 0.430187597741067 absolute error = 2.203570659276011e-12 relative error = 5.122348182132086e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.379937734364211 y[1] (closed_form) = 0.4303602989712936 y[1] (numeric) = 0.4303602989690901 absolute error = 2.203515148124779e-12 relative error = 5.120163624274648e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.36999432330841 y[1] (closed_form) = 0.4305503930613797 y[1] (numeric) = 0.4305503930591764 absolute error = 2.203293103519854e-12 relative error = 5.117387276907562e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.35996735417651 y[1] (closed_form) = 0.4307620568483661 y[1] (numeric) = 0.430762056846163 absolute error = 2.203126570066161e-12 relative error = 5.11448614157233e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.34994038504461 y[1] (closed_form) = 0.4309947605471016 y[1] (numeric) = 0.4309947605448988 absolute error = 2.202793503158773e-12 relative error = 5.110951929815952e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.339996973988809 y[1] (closed_form) = 0.4312472724286613 y[1] (numeric) = 0.4312472724264585 absolute error = 2.202849014310004e-12 relative error = 5.108087993007326e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.329970004856909 y[1] (closed_form) = 0.4315248120820934 y[1] (numeric) = 0.4315248120798906 absolute error = 2.202793503158773e-12 relative error = 5.104674033760342e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.319943035725009 y[1] (closed_form) = 0.4318263308719525 y[1] (numeric) = 0.4318263308697501 absolute error = 2.202404925100154e-12 relative error = 5.100209893762183e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.309999624669209 y[1] (closed_form) = 0.4321499801591773 y[1] (numeric) = 0.4321499801569753 absolute error = 2.202016347041535e-12 relative error = 5.095491028902626e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.299972655537309 y[1] (closed_form) = 0.4325021679572623 y[1] (numeric) = 0.4325021679550602 absolute error = 2.202071858192767e-12 relative error = 5.091470104284806e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.289945686405409 y[1] (closed_form) = 0.4328812525406616 y[1] (numeric) = 0.4328812525384597 absolute error = 2.201905324739073e-12 relative error = 5.08662667143859e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.280002275349608 y[1] (closed_form) = 0.4332846948401907 y[1] (numeric) = 0.433284694837989 absolute error = 2.201738791285379e-12 relative error = 5.081506034034853e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.269975306217708 y[1] (closed_form) = 0.4337202358947145 y[1] (numeric) = 0.4337202358925126 absolute error = 2.201960835890304e-12 relative error = 5.076915148650868e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.259948337085808 y[1] (closed_form) = 0.4341855671824253 y[1] (numeric) = 0.4341855671802232 absolute error = 2.202071858192767e-12 relative error = 5.071729750214278e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.250004926030007 y[1] (closed_form) = 0.4346773863052613 y[1] (numeric) = 0.4346773863030594 absolute error = 2.201960835890304e-12 relative error = 5.065735888878128e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.239977956898108 y[1] (closed_form) = 0.4352049107289588 y[1] (numeric) = 0.4352049107267572 absolute error = 2.201627768982917e-12 relative error = 5.058830253765376e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.229950987766208 y[1] (closed_form) = 0.435765092029254 y[1] (numeric) = 0.4357650920270526 absolute error = 2.20135021322676e-12 relative error = 5.051690127301382e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.220007576710407 y[1] (closed_form) = 0.4363537922672758 y[1] (numeric) = 0.4363537922650746 absolute error = 2.201183679773067e-12 relative error = 5.044493066820411e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.209980607578507 y[1] (closed_form) = 0.4369818474086853 y[1] (numeric) = 0.436981847406484 absolute error = 2.201294702075529e-12 relative error = 5.037496900910802e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.199953638446607 y[1] (closed_form) = 0.4376453966863112 y[1] (numeric) = 0.43764539668411 absolute error = 2.201183679773067e-12 relative error = 5.029605466982206e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.189926669314707 y[1] (closed_form) = 0.4383453814915279 y[1] (numeric) = 0.4383453814893268 absolute error = 2.201128168621835e-12 relative error = 5.021447154598063e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.179983258258906 y[1] (closed_form) = 0.4390764379131231 y[1] (numeric) = 0.4390764379109223 absolute error = 2.200850612865679e-12 relative error = 5.012454376568358e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.169956289127006 y[1] (closed_form) = 0.4398517801250597 y[1] (numeric) = 0.4398517801228588 absolute error = 2.200850612865679e-12 relative error = 5.003618746842239e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.159929319995106 y[1] (closed_form) = 0.4406663519479428 y[1] (numeric) = 0.4406663519457424 absolute error = 2.200406523655829e-12 relative error = 4.993361789319847e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.149985908939306 y[1] (closed_form) = 0.4415137884050098 y[1] (numeric) = 0.4415137884028098 absolute error = 2.199962434445979e-12 relative error = 4.98277175531358e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.139958939807406 y[1] (closed_form) = 0.442409247919918 y[1] (numeric) = 0.4424092479177182 absolute error = 2.199795900992285e-12 relative error = 4.97230994002747e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.129931970675506 y[1] (closed_form) = 0.443346695831365 y[1] (numeric) = 0.4433466958291654 absolute error = 2.19957385638736e-12 relative error = 4.961295250577459e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.119988559619705 y[1] (closed_form) = 0.4443186966407324 y[1] (numeric) = 0.4443186966385333 absolute error = 2.19912976717751e-12 relative error = 4.949442334531523e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.109961590487805 y[1] (closed_form) = 0.4453424897489084 y[1] (numeric) = 0.4453424897467096 absolute error = 2.198852211421354e-12 relative error = 4.937440873115663e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.099934621355905 y[1] (closed_form) = 0.446410992259169 y[1] (numeric) = 0.4464109922569705 absolute error = 2.198519144513966e-12 relative error = 4.924876812257326e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.089991210300104 y[1] (closed_form) = 0.447515629657963 y[1] (numeric) = 0.4475156296557646 absolute error = 2.198352611060272e-12 relative error = 4.912348229581339e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.079964241168204 y[1] (closed_form) = 0.4486758571785374 y[1] (numeric) = 0.4486758571763396 absolute error = 2.197853010699191e-12 relative error = 4.898531925743042e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.069937272036305 y[1] (closed_form) = 0.4498834748784075 y[1] (numeric) = 0.4498834748762097 absolute error = 2.19779749954796e-12 relative error = 4.885259455555621e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.059993860980504 y[1] (closed_form) = 0.4511287017608672 y[1] (numeric) = 0.4511287017586702 absolute error = 2.196964832279491e-12 relative error = 4.869929188065829e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.049966891848604 y[1] (closed_form) = 0.452433341752903 y[1] (numeric) = 0.4524333417507064 absolute error = 2.196520743069641e-12 relative error = 4.854904668518603e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.039939922716704 y[1] (closed_form) = 0.4537880100610183 y[1] (numeric) = 0.4537880100588219 absolute error = 2.19646523191841e-12 relative error = 4.840289261109088e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.029996511660903 y[1] (closed_form) = 0.455181652822692 y[1] (numeric) = 0.4551816528204961 absolute error = 2.195910120406097e-12 relative error = 4.824250069809988e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.019969542529003 y[1] (closed_form) = 0.4566385534067388 y[1] (numeric) = 0.4566385534045431 absolute error = 2.195632564649941e-12 relative error = 4.808250526087838e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.009942573397103 y[1] (closed_form) = 0.458148075429496 y[1] (numeric) = 0.4581480754273004 absolute error = 2.19557705349871e-12 relative error = 4.792286972809919e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9999991623413025 y[1] (closed_form) = 0.4596978269252583 y[1] (numeric) = 0.4596978269230627 absolute error = 2.19557705349871e-12 relative error = 4.776131025426156e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9899721932094026 y[1] (closed_form) = 0.4613146992218202 y[1] (numeric) = 0.4613146992196254 absolute error = 2.194855408532703e-12 relative error = 4.757826733540353e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9799452240775026 y[1] (closed_form) = 0.4629867387323481 y[1] (numeric) = 0.4629867387301536 absolute error = 2.194522341625316e-12 relative error = 4.73992483593351e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9700018130217019 y[1] (closed_form) = 0.4647001513545728 y[1] (numeric) = 0.4647001513523784 absolute error = 2.194411319322853e-12 relative error = 4.722209177092534e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9599748438898019 y[1] (closed_form) = 0.4664845625458485 y[1] (numeric) = 0.4664845625436544 absolute error = 2.194022741264234e-12 relative error = 4.703312644024731e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.949947874757902 y[1] (closed_form) = 0.4683266370883485 y[1] (numeric) = 0.468326637086155 absolute error = 2.193578652054384e-12 relative error = 4.683864803616907e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9400044637021012 y[1] (closed_form) = 0.4702111159714657 y[1] (numeric) = 0.4702111159692725 absolute error = 2.193190073995765e-12 relative error = 4.66426675061603e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9299774945702013 y[1] (closed_form) = 0.472170482492597 y[1] (numeric) = 0.4721704824904043 absolute error = 2.192634962483453e-12 relative error = 4.643735777188975e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9199505254383014 y[1] (closed_form) = 0.4741899566182566 y[1] (numeric) = 0.4741899566160645 absolute error = 2.19207985097114e-12 relative error = 4.622788442429749e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9100071143825006 y[1] (closed_form) = 0.4762527529758098 y[1] (numeric) = 0.4762527529736182 absolute error = 2.19163576176129e-12 relative error = 4.601833266195543e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8999801452506007 y[1] (closed_form) = 0.4783943338417702 y[1] (numeric) = 0.478394333839579 absolute error = 2.191247183702671e-12 relative error = 4.580420437060257e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8899531761187007 y[1] (closed_form) = 0.4805984124823337 y[1] (numeric) = 0.4805984124801432 absolute error = 2.190525538736665e-12 relative error = 4.557912556186786e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8799262069868008 y[1] (closed_form) = 0.4828657754051811 y[1] (numeric) = 0.4828657754029911 absolute error = 2.189914916073121e-12 relative error = 4.535245667878461e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.869982795931 y[1] (closed_form) = 0.485177507356656 y[1] (numeric) = 0.4851775073544664 absolute error = 2.189637360316965e-12 relative error = 4.513064449847535e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8599558267991001 y[1] (closed_form) = 0.4875732293416191 y[1] (numeric) = 0.4875732293394298 absolute error = 2.189248782258346e-12 relative error = 4.490092257966126e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8499288576672002 y[1] (closed_form) = 0.4900345502774179 y[1] (numeric) = 0.4900345502752292 absolute error = 2.188693670746034e-12 relative error = 4.466406847245714e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8399854466113994 y[1] (closed_form) = 0.4925408905372839 y[1] (numeric) = 0.4925408905350958 absolute error = 2.18808304808249e-12 relative error = 4.442439379389676e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8299584774794995 y[1] (closed_form) = 0.4951351222605407 y[1] (numeric) = 0.4951351222583532 absolute error = 2.187472425418946e-12 relative error = 4.417930231715405e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8199315083475995 y[1] (closed_form) = 0.4977972085789886 y[1] (numeric) = 0.4977972085768016 absolute error = 2.186972825057865e-12 relative error = 4.393300700300822e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8099880972917988 y[1] (closed_form) = 0.5005048488264061 y[1] (numeric) = 0.5005048488242199 absolute error = 2.186251180091858e-12 relative error = 4.368091908036904e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7999611281598988 y[1] (closed_form) = 0.5033042780680506 y[1] (numeric) = 0.5033042780658648 absolute error = 2.185807090882008e-12 relative error = 4.342913792174185e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7899341590279989 y[1] (closed_form) = 0.5061737564954751 y[1] (numeric) = 0.50617375649329 absolute error = 2.185140957067233e-12 relative error = 4.316977972536921e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7799907479721981 y[1] (closed_form) = 0.5090892072852129 y[1] (numeric) = 0.5090892072830284 absolute error = 2.184474823252458e-12 relative error = 4.290947032449314e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7699637788402982 y[1] (closed_form) = 0.5121003371940511 y[1] (numeric) = 0.512100337191867 absolute error = 2.18414175634507e-12 relative error = 4.265066038254588e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7599368097083983 y[1] (closed_form) = 0.5151836478508582 y[1] (numeric) = 0.5151836478486748 absolute error = 2.183475622530295e-12 relative error = 4.238247140876636e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7499933986525975 y[1] (closed_form) = 0.5183132327552664 y[1] (numeric) = 0.5183132327530842 absolute error = 2.182254377203208e-12 relative error = 4.210300334418839e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7399664295206976 y[1] (closed_form) = 0.521542375997456 y[1] (numeric) = 0.5215423759952744 absolute error = 2.181588243388433e-12 relative error = 4.182954911796226e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7299394603887976 y[1] (closed_form) = 0.5248457666034794 y[1] (numeric) = 0.5248457666012983 absolute error = 2.18103313187612e-12 relative error = 4.15556963713473e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7199960493329969 y[1] (closed_form) = 0.5281956165227091 y[1] (numeric) = 0.5281956165205286 absolute error = 2.180478020363807e-12 relative error = 4.128163794161402e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7099690802010969 y[1] (closed_form) = 0.5316488896017897 y[1] (numeric) = 0.5316488895996094 absolute error = 2.180255975758882e-12 relative error = 4.100932059487448e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.699942111069197 y[1] (closed_form) = 0.535178409854759 y[1] (numeric) = 0.5351784098525795 absolute error = 2.179478819641645e-12 relative error = 4.072434125721046e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6899987000133962 y[1] (closed_form) = 0.5387544575003391 y[1] (numeric) = 0.538754457498161 absolute error = 2.178146552012095e-12 relative error = 4.042929987285949e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6799717308814963 y[1] (closed_form) = 0.5424377752537639 y[1] (numeric) = 0.5424377752515865 absolute error = 2.177369395894857e-12 relative error = 4.014044550780479e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6699447617495964 y[1] (closed_form) = 0.5461992713859463 y[1] (numeric) = 0.5461992713837704 absolute error = 2.175815083660382e-12 relative error = 3.983555448800559e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6600013506937956 y[1] (closed_form) = 0.5500072459426879 y[1] (numeric) = 0.5500072459405133 absolute error = 2.174593838333294e-12 relative error = 3.953754890276286e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6499743815618957 y[1] (closed_form) = 0.55392631621981 y[1] (numeric) = 0.553926316217636 absolute error = 2.174038726820982e-12 relative error = 3.924779637944256e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6399474124299958 y[1] (closed_form) = 0.557925425737726 y[1] (numeric) = 0.5579254257355529 absolute error = 2.173039526098819e-12 relative error = 3.894856598846489e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.630004001374195 y[1] (closed_form) = 0.5619708477087535 y[1] (numeric) = 0.5619708477065805 absolute error = 2.173039526098819e-12 relative error = 3.866818955037711e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6199770322422951 y[1] (closed_form) = 0.5661311662350546 y[1] (numeric) = 0.5661311662328825 absolute error = 2.172040325376656e-12 relative error = 3.836637964698868e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6099500631103951 y[1] (closed_form) = 0.5703733128469992 y[1] (numeric) = 0.570373312844828 absolute error = 2.171263169259419e-12 relative error = 3.806740463402173e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6000066520545944 y[1] (closed_form) = 0.5746614890865471 y[1] (numeric) = 0.5746614890843766 absolute error = 2.170486013142181e-12 relative error = 3.776981848204716e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5899796829226944 y[1] (closed_form) = 0.57906833451873 y[1] (numeric) = 0.5790683345165599 absolute error = 2.170041923932331e-12 relative error = 3.747471230206149e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5799527137907945 y[1] (closed_form) = 0.5835587232546626 y[1] (numeric) = 0.5835587232524939 absolute error = 2.168709656302781e-12 relative error = 3.716352048012081e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5699257446588946 y[1] (closed_form) = 0.5881332119380835 y[1] (numeric) = 0.5881332119359161 absolute error = 2.167488410975693e-12 relative error = 3.685369856657369e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5599823336030938 y[1] (closed_form) = 0.5927531713695018 y[1] (numeric) = 0.5927531713673354 absolute error = 2.166378187951068e-12 relative error = 3.654772833936679e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5499553644711939 y[1] (closed_form) = 0.5974967838976999 y[1] (numeric) = 0.5974967838955348 absolute error = 2.165045920321518e-12 relative error = 3.623527320428565e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5399283953392939 y[1] (closed_form) = 0.602326110962508 y[1] (numeric) = 0.6023261109603442 absolute error = 2.16382467499443e-12 relative error = 3.592447074121809e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5299849842834932 y[1] (closed_form) = 0.607200354353679 y[1] (numeric) = 0.6072003543515163 absolute error = 2.162714451969805e-12 relative error = 3.561780615678096e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5199580151515932 y[1] (closed_form) = 0.6122019444983637 y[1] (numeric) = 0.6122019444962017 absolute error = 2.16204831815503e-12 relative error = 3.531593353442556e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5099310460196933 y[1] (closed_form) = 0.6172907866451123 y[1] (numeric) = 0.6172907866429519 absolute error = 2.160382983618092e-12 relative error = 3.499781675601327e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4999876349638925 y[1] (closed_form) = 0.6224238750987279 y[1] (numeric) = 0.6224238750965682 absolute error = 2.159716849803317e-12 relative error = 3.46984898267398e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4899606658319926 y[1] (closed_form) = 0.6276879645626992 y[1] (numeric) = 0.6276879645605408 absolute error = 2.158384582173767e-12 relative error = 3.438626680818201e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4799336967000927 y[1] (closed_form) = 0.6330407649871501 y[1] (numeric) = 0.6330407649849931 absolute error = 2.157052314544217e-12 relative error = 3.407446145412139e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4699902856442919 y[1] (closed_form) = 0.6384370267039758 y[1] (numeric) = 0.6384370267018195 absolute error = 2.156386180729442e-12 relative error = 3.377602003853222e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.459963316512392 y[1] (closed_form) = 0.6439679010001051 y[1] (numeric) = 0.6439679009979498 absolute error = 2.155386980007279e-12 relative error = 3.347041019684189e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.449936347380492 y[1] (closed_form) = 0.6495888653953588 y[1] (numeric) = 0.6495888653932049 absolute error = 2.153832667772804e-12 relative error = 3.315685940001324e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4399929363246913 y[1] (closed_form) = 0.6552523917798343 y[1] (numeric) = 0.655252391777682 absolute error = 2.152278355538328e-12 relative error = 3.284655474041363e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4299659671927913 y[1] (closed_form) = 0.6610540963750728 y[1] (numeric) = 0.6610540963729213 absolute error = 2.151501199421091e-12 relative error = 3.254652245888753e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4199389980608914 y[1] (closed_form) = 0.6669471891473973 y[1] (numeric) = 0.6669471891452475 absolute error = 2.149724842581691e-12 relative error = 3.223230980746506e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4099955870050906 y[1] (closed_form) = 0.6728818311262992 y[1] (numeric) = 0.6728818311241515 absolute error = 2.147726441137365e-12 relative error = 3.191833011068833e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3999686178731907 y[1] (closed_form) = 0.6789581678016741 y[1] (numeric) = 0.6789581677995276 absolute error = 2.146505195810278e-12 relative error = 3.161468994121121e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3899416487412908 y[1] (closed_form) = 0.6851271085034369 y[1] (numeric) = 0.6851271085012921 absolute error = 2.14483986127334e-12 relative error = 3.130572173619635e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.37999823768549 y[1] (closed_form) = 0.6913364730609164 y[1] (numeric) = 0.6913364730587725 absolute error = 2.143840660551177e-12 relative error = 3.101009051438076e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3699712685535901 y[1] (closed_form) = 0.6976909964907887 y[1] (numeric) = 0.6976909964886456 absolute error = 2.14306350443394e-12 relative error = 3.071651368891119e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3599442994216902 y[1] (closed_form) = 0.7041392564737035 y[1] (numeric) = 0.7041392564715617 absolute error = 2.141731236804389e-12 relative error = 3.041630213219583e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3500008883658894 y[1] (closed_form) = 0.710626703405818 y[1] (numeric) = 0.7106267034036776 absolute error = 2.140398969174839e-12 relative error = 3.011987811486054e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3399739192339895 y[1] (closed_form) = 0.7172627179594815 y[1] (numeric) = 0.7172627179573419 absolute error = 2.139621813057602e-12 relative error = 2.983037817920532e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3299469501020895 y[1] (closed_form) = 0.7239935172511762 y[1] (numeric) = 0.723993517249038 absolute error = 2.138178523125589e-12 relative error = 2.953311697104309e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3200035390462888 y[1] (closed_form) = 0.7307621561428337 y[1] (numeric) = 0.7307621561406966 absolute error = 2.137068300100964e-12 relative error = 2.924437564447789e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3099765699143888 y[1] (closed_form) = 0.7376827129113308 y[1] (numeric) = 0.7376827129091952 absolute error = 2.135625010168951e-12 relative error = 2.895045488785437e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2999496007824889 y[1] (closed_form) = 0.744699017318053 y[1] (numeric) = 0.7446990173159188 absolute error = 2.134181720236938e-12 relative error = 2.865831256126732e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2900061897266881 y[1] (closed_form) = 0.7517517047450903 y[1] (numeric) = 0.7517517047429579 absolute error = 2.132405363397538e-12 relative error = 2.836582012302334e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2799792205947882 y[1] (closed_form) = 0.7589595987959212 y[1] (numeric) = 0.7589595987937905 absolute error = 2.1307400288606e-12 relative error = 2.807448554891445e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2699522514628883 y[1] (closed_form) = 0.7662641172339841 y[1] (numeric) = 0.7662641172318553 absolute error = 2.128852649718738e-12 relative error = 2.778223071965508e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2599252823309883 y[1] (closed_form) = 0.773665533772478 y[1] (numeric) = 0.773665533770351 absolute error = 2.127076292879337e-12 relative error = 2.7493486526503e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2499818712751875 y[1] (closed_form) = 0.7811012220550899 y[1] (numeric) = 0.781101222052964 absolute error = 2.125966069854712e-12 relative error = 2.721754888900649e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2399549021432843 y[1] (closed_form) = 0.7886964041134639 y[1] (numeric) = 0.7886964041113372 absolute error = 2.126632203669487e-12 relative error = 2.696388867221898e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.229927933011381 y[1] (closed_form) = 0.796389244858106 y[1] (numeric) = 0.7963892448559791 absolute error = 2.126965270576875e-12 relative error = 2.670760917867292e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2199845219555769 y[1] (closed_form) = 0.8041146510629151 y[1] (numeric) = 0.8041146510607873 absolute error = 2.127853448996575e-12 relative error = 2.646206540552248e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2099575528236737 y[1] (closed_form) = 0.8120026847991448 y[1] (numeric) = 0.8120026847970158 absolute error = 2.129074694323663e-12 relative error = 2.622004500946085e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1999305836917704 y[1] (closed_form) = 0.819989049936783 y[1] (numeric) = 0.819989049934653 absolute error = 2.129962872743363e-12 relative error = 2.59755038546865e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1899871726359663 y[1] (closed_form) = 0.8280061697657568 y[1] (numeric) = 0.8280061697636256 absolute error = 2.13118411807045e-12 relative error = 2.573874683413728e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1799602035040631 y[1] (closed_form) = 0.8361889797372126 y[1] (numeric) = 0.8361889797350807 absolute error = 2.131961274187688e-12 relative error = 2.549616564975175e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1699332343721598 y[1] (closed_form) = 0.8444707053492284 y[1] (numeric) = 0.8444707053470956 absolute error = 2.132849452607388e-12 relative error = 2.525664228607379e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1599898233163558 y[1] (closed_form) = 0.8527812720281509 y[1] (numeric) = 0.8527812720260176 absolute error = 2.133293541817238e-12 relative error = 2.501571753262912e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1499628541844525 y[1] (closed_form) = 0.8612605175603609 y[1] (numeric) = 0.8612605175582269 absolute error = 2.134070697934476e-12 relative error = 2.477845732415002e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1399358850525492 y[1] (closed_form) = 0.8698391739706108 y[1] (numeric) = 0.8698391739684754 absolute error = 2.135402965564026e-12 relative error = 2.454939981394969e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1299924739967452 y[1] (closed_form) = 0.8784446566895688 y[1] (numeric) = 0.8784446566874324 absolute error = 2.136402166286189e-12 relative error = 2.432028187566478e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1199655048648427 y[1] (closed_form) = 0.8872217303832002 y[1] (numeric) = 0.8872217303810637 absolute error = 2.136513188588651e-12 relative error = 2.408093845566507e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1099385357329411 y[1] (closed_form) = 0.896098620745078 y[1] (numeric) = 0.8960986207429419 absolute error = 2.136069099378801e-12 relative error = 2.38374331789812e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.09999512467713872 y[1] (closed_form) = 0.905000223336522 y[1] (numeric) = 0.905000223334387 absolute error = 2.134958876354176e-12 relative error = 2.359069999433909e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.08996815554523713 y[1] (closed_form) = 0.9140762498143575 y[1] (numeric) = 0.9140762498122236 absolute error = 2.133959675632013e-12 relative error = 2.334553245492819e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.07994118641333553 y[1] (closed_form) = 0.9232524089382557 y[1] (numeric) = 0.9232524089361224 absolute error = 2.133293541817238e-12 relative error = 2.310628730739555e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.06999777535753311 y[1] (closed_form) = 0.9324510687938274 y[1] (numeric) = 0.9324510687916951 absolute error = 2.132294341095076e-12 relative error = 2.286762718662874e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.0599708062256313 y[1] (closed_form) = 0.9418269036888608 y[1] (numeric) = 0.9418269036867292 absolute error = 2.131628207280301e-12 relative error = 2.263290843499305e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.04994383709372887 y[1] (closed_form) = 0.9513030971110721 y[1] (numeric) = 0.9513030971089407 absolute error = 2.131406162675376e-12 relative error = 2.240512166046819e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.04000042603792563 y[1] (closed_form) = 0.9607994843381602 y[1] (numeric) = 0.9607994843360282 absolute error = 2.131961274187688e-12 relative error = 2.218945064959391e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.02997345690602325 y[1] (closed_form) = 0.9704757135237179 y[1] (numeric) = 0.9704757135215857 absolute error = 2.132183318792613e-12 relative error = 2.19704964182033e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.01994648777412124 y[1] (closed_form) = 0.980252436817625 y[1] (numeric) = 0.980252436815493 absolute error = 2.131961274187688e-12 relative error = 2.174910455830203e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.01000307671831829 y[1] (closed_form) = 0.9900469536364197 y[1] (numeric) = 0.9900469536342867 absolute error = 2.132960474909851e-12 relative error = 2.154403351351707e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389241358391125e-05 y[1] (closed_form) = 1.000023892699007 y[1] (numeric) = 1.000023892696875 absolute error = 2.132960474909851e-12 relative error = 2.132909513944824e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.01005086154548611 y[1] (closed_form) = 1.010101371029182 y[1] (numeric) = 1.010101371027048 absolute error = 2.134292742539401e-12 relative error = 2.112949060117393e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.01999427260128906 y[1] (closed_form) = 1.020194151410772 y[1] (numeric) = 1.020194151408637 absolute error = 2.134736831749251e-12 relative error = 2.092480954529329e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.03002124173319107 y[1] (closed_form) = 1.03047184536612 y[1] (numeric) = 1.030471845363985 absolute error = 2.134514787144326e-12 relative error = 2.071395542481752e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04004821086509345 y[1] (closed_form) = 1.040850033285725 y[1] (numeric) = 1.040850033283591 absolute error = 2.134070697934476e-12 relative error = 2.050315251658017e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.05007517999699588 y[1] (closed_form) = 1.051328679858306 y[1] (numeric) = 1.051328679856173 absolute error = 2.133404564119701e-12 relative error = 2.029246043594314e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06001859105279912 y[1] (closed_form) = 1.061819166084108 y[1] (numeric) = 1.061819166081974 absolute error = 2.133626608724626e-12 relative error = 2.009406758585123e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.07004556018470093 y[1] (closed_form) = 1.072497747575787 y[1] (numeric) = 1.072497747573653 absolute error = 2.134070697934476e-12 relative error = 1.989813687495576e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.08007252931660253 y[1] (closed_form) = 1.083276621793957 y[1] (numeric) = 1.083276621791823 absolute error = 2.133848653329551e-12 relative error = 1.969809567011423e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.09001594037240494 y[1] (closed_form) = 1.09406464018449 y[1] (numeric) = 1.094064640182356 absolute error = 2.133626608724626e-12 relative error = 1.950183316741538e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1000429095043065 y[1] (closed_form) = 1.105043028944715 y[1] (numeric) = 1.105043028942581 absolute error = 2.133626608724626e-12 relative error = 1.9308086226852e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1100698786362081 y[1] (closed_form) = 1.116121454264208 y[1] (numeric) = 1.116121454262076 absolute error = 2.132294341095076e-12 relative error = 1.910450097476864e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200132896920106 y[1] (closed_form) = 1.127206244864182 y[1] (numeric) = 1.127206244862051 absolute error = 2.130962073465525e-12 relative error = 1.890481074936102e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.130040258823913 y[1] (closed_form) = 1.138483584830793 y[1] (numeric) = 1.138483584828662 absolute error = 2.1307400288606e-12 relative error = 1.871559728441128e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400672279558162 y[1] (closed_form) = 1.149860615179207 y[1] (numeric) = 1.149860615177075 absolute error = 2.131406162675376e-12 relative error = 1.853621329871529e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1500106390116203 y[1] (closed_form) = 1.161241151005565 y[1] (numeric) = 1.161241151003433 absolute error = 2.131628207280301e-12 relative error = 1.835646459337442e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600376081435236 y[1] (closed_form) = 1.172816317128029 y[1] (numeric) = 1.172816317125895 absolute error = 2.133404564119701e-12 relative error = 1.819044067654126e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700645772754268 y[1] (closed_form) = 1.184490737756067 y[1] (numeric) = 1.184490737753932 absolute error = 2.134958876354176e-12 relative error = 1.802427666423719e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800079883312309 y[1] (closed_form) = 1.196165725722033 y[1] (numeric) = 1.196165725719898 absolute error = 2.135180920959101e-12 relative error = 1.78502098417028e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900349574631342 y[1] (closed_form) = 1.208037324973738 y[1] (numeric) = 1.2080373249716 absolute error = 2.137401367008351e-12 relative error = 1.769317323912006e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000619265950374 y[1] (closed_form) = 1.220007653548213 y[1] (numeric) = 1.220007653546073 absolute error = 2.139399768452677e-12 relative error = 1.753595366578683e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100053376508415 y[1] (closed_form) = 1.231975535626785 y[1] (numeric) = 1.231975535624644 absolute error = 2.141176125292077e-12 relative error = 1.738002146449055e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200323067827448 y[1] (closed_form) = 1.244141908258445 y[1] (numeric) = 1.244141908256303 absolute error = 2.142064303711777e-12 relative error = 1.721720239060387e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.230059275914648 y[1] (closed_form) = 1.256406396196046 y[1] (numeric) = 1.256406396193903 absolute error = 2.142952482131477e-12 relative error = 1.705620481254775e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400026869704521 y[1] (closed_form) = 1.268665350821863 y[1] (numeric) = 1.268665350819717 absolute error = 2.145172928180727e-12 relative error = 1.690889505881948e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500296561023553 y[1] (closed_form) = 1.28112457185492 y[1] (numeric) = 1.281124571852774 absolute error = 2.146283151205353e-12 relative error = 1.675311830213188e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600566252342553 y[1] (closed_form) = 1.293681205895532 y[1] (numeric) = 1.293681205893389 absolute error = 2.143618615946252e-12 relative error = 1.656991387196015e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.270000036290056 y[1] (closed_form) = 1.306229149603865 y[1] (numeric) = 1.306229149601724 absolute error = 2.140732036082227e-12 relative error = 1.638864081950275e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.280027005421956 y[1] (closed_form) = 1.318979030562529 y[1] (numeric) = 1.318979030560392 absolute error = 2.137179322403426e-12 relative error = 1.62032850627803e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900539745538559 y[1] (closed_form) = 1.331825534580729 y[1] (numeric) = 1.331825534578595 absolute error = 2.133626608724626e-12 relative error = 1.602031612493683e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2999973856096567 y[1] (closed_form) = 1.344660123882141 y[1] (numeric) = 1.34466012388001 absolute error = 2.130962073465525e-12 relative error = 1.584758881161187e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100243547415566 y[1] (closed_form) = 1.357698214762533 y[1] (numeric) = 1.357698214760404 absolute error = 2.129185716626125e-12 relative error = 1.568231948363082e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200513238734565 y[1] (closed_form) = 1.370832051815569 y[1] (numeric) = 1.370832051813442 absolute error = 2.126521181367025e-12 relative error = 1.551263102252825e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3299947349292573 y[1] (closed_form) = 1.383950685304515 y[1] (numeric) = 1.383950685302392 absolute error = 2.123190512293149e-12 relative error = 1.534151855870484e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400217040611572 y[1] (closed_form) = 1.397274276779103 y[1] (numeric) = 1.397274276776983 absolute error = 2.120081887824199e-12 relative error = 1.517298302171038e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500486731930572 y[1] (closed_form) = 1.410692651389577 y[1] (numeric) = 1.410692651387459 absolute error = 2.118083486379874e-12 relative error = 1.501449294637988e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3599920842488579 y[1] (closed_form) = 1.42409247208508 y[1] (numeric) = 1.424092472082964 absolute error = 2.116529174145398e-12 relative error = 1.486230154033811e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700190533807579 y[1] (closed_form) = 1.437698597940468 y[1] (numeric) = 1.437698597938355 absolute error = 2.112976460466598e-12 relative error = 1.469693622497427e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800460225126578 y[1] (closed_form) = 1.451398458611629 y[1] (numeric) = 1.451398458609518 absolute error = 2.110978059022273e-12 relative error = 1.454444192424994e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900729916445577 y[1] (closed_form) = 1.465191684828738 y[1] (numeric) = 1.465191684826629 absolute error = 2.109201702182872e-12 relative error = 1.439539770818049e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000164027003585 y[1] (closed_form) = 1.478961796333761 y[1] (numeric) = 1.478961796331654 absolute error = 2.107425345343472e-12 relative error = 1.424935620762907e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100433718322584 y[1] (closed_form) = 1.492939838295163 y[1] (numeric) = 1.492939838293059 absolute error = 2.104094676269597e-12 relative error = 1.409363339565197e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200703409641584 y[1] (closed_form) = 1.507010085174154 y[1] (numeric) = 1.507010085172053 absolute error = 2.101652185615421e-12 relative error = 1.394584021892958e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300137520199591 y[1] (closed_form) = 1.52105373524662 y[1] (numeric) = 1.52105373524452 absolute error = 2.099875828776021e-12 relative error = 1.380540200596892e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.440040721151859 y[1] (closed_form) = 1.535306403427666 y[1] (numeric) = 1.535306403425569 absolute error = 2.097211293516921e-12 relative error = 1.365988762135537e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.450067690283759 y[1] (closed_form) = 1.549650032934402 y[1] (numeric) = 1.549650032932307 absolute error = 2.094768802862745e-12 relative error = 1.351768953210753e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600111013395597 y[1] (closed_form) = 1.563963532287932 y[1] (numeric) = 1.56396353228584 absolute error = 2.09188222299872e-12 relative error = 1.337551790570521e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700380704714597 y[1] (closed_form) = 1.578487024516631 y[1] (numeric) = 1.578487024514543 absolute error = 2.088107464714994e-12 relative error = 1.322853740501555e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800650396033596 y[1] (closed_form) = 1.593100152634532 y[1] (numeric) = 1.593100152632447 absolute error = 2.084998840246044e-12 relative error = 1.308768213221279e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900084506591604 y[1] (closed_form) = 1.607679569179517 y[1] (numeric) = 1.607679569177436 absolute error = 2.081446126567243e-12 relative error = 1.294689667313191e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000354197910604 y[1] (closed_form) = 1.622469839603581 y[1] (numeric) = 1.622469839601502 absolute error = 2.078781591308143e-12 relative error = 1.28124513662211e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100623889229603 y[1] (closed_form) = 1.637348339828362 y[1] (numeric) = 1.637348339826287 absolute error = 2.074784788419493e-12 relative error = 1.267161506168557e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200057999787611 y[1] (closed_form) = 1.652189502209954 y[1] (numeric) = 1.652189502207883 absolute error = 2.071010030135767e-12 relative error = 1.253494243466383e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.530032769110661 y[1] (closed_form) = 1.667242264937145 y[1] (numeric) = 1.667242264935078 absolute error = 2.067457316456967e-12 relative error = 1.240046128829939e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400597382425609 y[1] (closed_form) = 1.682381771989731 y[1] (numeric) = 1.682381771987667 absolute error = 2.063904602778166e-12 relative error = 1.226775418719149e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500031492983617 y[1] (closed_form) = 1.697480273341117 y[1] (numeric) = 1.697480273339057 absolute error = 2.059907799889515e-12 relative error = 1.213509124223894e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600301184302616 y[1] (closed_form) = 1.712791006295582 y[1] (numeric) = 1.712791006293525 absolute error = 2.05657713081564e-12 relative error = 1.200716913655214e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700570875621616 y[1] (closed_form) = 1.728186920049876 y[1] (numeric) = 1.728186920047823 absolute error = 2.053024417136839e-12 relative error = 1.187964330315374e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800004986179623 y[1] (closed_form) = 1.743538121957458 y[1] (numeric) = 1.743538121955408 absolute error = 2.050581926482664e-12 relative error = 1.176103866418757e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900274677498623 y[1] (closed_form) = 1.75910207094857 y[1] (numeric) = 1.759102070946523 absolute error = 2.047473302013714e-12 relative error = 1.163930925798776e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000544368817622 y[1] (closed_form) = 1.77474956057052 y[1] (numeric) = 1.774749560568476 absolute error = 2.043920588334913e-12 relative error = 1.151667048548452e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.609997847937563 y[1] (closed_form) = 1.790348597247439 y[1] (numeric) = 1.790348597245399 absolute error = 2.040589919261038e-12 relative error = 1.139772400971705e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200248170694629 y[1] (closed_form) = 1.806160780247495 y[1] (numeric) = 1.80616078024546 absolute error = 2.035926982557612e-12 relative error = 1.127212485634104e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300517862013628 y[1] (closed_form) = 1.822054788541752 y[1] (numeric) = 1.822054788539721 absolute error = 2.031486090459111e-12 relative error = 1.114942373431577e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6399951972571636 y[1] (closed_form) = 1.837896571205994 y[1] (numeric) = 1.837896571203965 absolute error = 2.028377465990161e-12 relative error = 1.103640704144291e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500221663890635 y[1] (closed_form) = 1.85395178283291 y[1] (numeric) = 1.853951782830885 absolute error = 2.02438066310151e-12 relative error = 1.091927353152723e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600491355209634 y[1] (closed_form) = 1.870087030793158 y[1] (numeric) = 1.870087030791137 absolute error = 2.02082794942271e-12 relative error = 1.080606365451141e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6699925465767642 y[1] (closed_form) = 1.886166252246302 y[1] (numeric) = 1.886166252244284 absolute error = 2.01816341416361e-12 relative error = 1.069981721791548e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800195157086641 y[1] (closed_form) = 1.902459068447276 y[1] (numeric) = 1.902459068445262 absolute error = 2.013944566670034e-12 relative error = 1.058600734213824e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900464848405641 y[1] (closed_form) = 1.918830060006145 y[1] (numeric) = 1.918830060004134 absolute error = 2.011724120620784e-12 relative error = 1.048411822678211e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.700073453972464 y[1] (closed_form) = 1.93527858909954 y[1] (numeric) = 1.935278589097531 absolute error = 2.009059585361683e-12 relative error = 1.038124224945036e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100168650282648 y[1] (closed_form) = 1.951665982340578 y[1] (numeric) = 1.951665982338573 absolute error = 2.005284827077958e-12 relative error = 1.027473371582301e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200438341601647 y[1] (closed_form) = 1.968267009314854 y[1] (numeric) = 1.968267009312853 absolute error = 2.001288024189307e-12 relative error = 1.016776694786927e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300708032920646 y[1] (closed_form) = 1.98494361938051 y[1] (numeric) = 1.984943619378513 absolute error = 1.997291221300657e-12 relative error = 1.006220631054498e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400142143478654 y[1] (closed_form) = 2.001555240255818 y[1] (numeric) = 2.001555240253824 absolute error = 1.993516463016931e-12 relative error = 9.959837345094412e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500411834797653 y[1] (closed_form) = 2.018380387482519 y[1] (numeric) = 2.018380387480529 absolute error = 1.989519660128281e-12 relative error = 9.857010464760632e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600681526116653 y[1] (closed_form) = 2.035279095349791 y[1] (numeric) = 2.035279095347806 absolute error = 1.98552285723963e-12 relative error = 9.755531129741152e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.770011563667466 y[1] (closed_form) = 2.052108943980932 y[1] (numeric) = 2.052108943978951 absolute error = 1.980637875931279e-12 relative error = 9.651718938902899e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.780038532799366 y[1] (closed_form) = 2.069152094639614 y[1] (numeric) = 2.069152094637638 absolute error = 1.976196983832779e-12 relative error = 9.550757476709195e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900655019312659 y[1] (closed_form) = 2.086266717300146 y[1] (numeric) = 2.086266717298175 absolute error = 1.971312002524428e-12 relative error = 9.448993200042601e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000089129870667 y[1] (closed_form) = 2.103308597453135 y[1] (numeric) = 2.103308597451167 absolute error = 1.967759288845627e-12 relative error = 9.355542459287038e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100358821189666 y[1] (closed_form) = 2.120563438569644 y[1] (numeric) = 2.12056343856768 absolute error = 1.964650664376677e-12 relative error = 9.264757793343202e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200628512508665 y[1] (closed_form) = 2.13788759874067 y[1] (numeric) = 2.137887598738709 absolute error = 1.960653861488026e-12 relative error = 9.170986644213459e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300062623066673 y[1] (closed_form) = 2.155135123401179 y[1] (numeric) = 2.155135123399222 absolute error = 1.956212969389526e-12 relative error = 9.076985234699721e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400332314385672 y[1] (closed_form) = 2.1725951515279 y[1] (numeric) = 2.172595151525948 absolute error = 1.952216166500875e-12 relative error = 8.985641734162755e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500602005704672 y[1] (closed_form) = 2.190122283390354 y[1] (numeric) = 2.190122283388406 absolute error = 1.947775274402375e-12 relative error = 8.893454439389472e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600036116262679 y[1] (closed_form) = 2.207568880510578 y[1] (numeric) = 2.207568880508635 absolute error = 1.943778471513724e-12 relative error = 8.805063745345769e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700305807581679 y[1] (closed_form) = 2.225227407578062 y[1] (numeric) = 2.225227407576122 absolute error = 1.940669847044774e-12 relative error = 8.721220314093645e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800575498900678 y[1] (closed_form) = 2.242950762684334 y[1] (numeric) = 2.242950762682398 absolute error = 1.935784865736423e-12 relative error = 8.630527686750025e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900009609458686 y[1] (closed_form) = 2.260589681096348 y[1] (numeric) = 2.260589681094415 absolute error = 1.932676241267473e-12 relative error = 8.549434058860949e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000279300777685 y[1] (closed_form) = 2.278439840431061 y[1] (numeric) = 2.278439840429134 absolute error = 1.926903081539422e-12 relative error = 8.457116344905857e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100548992096684 y[1] (closed_form) = 2.296352493777066 y[1] (numeric) = 2.296352493775141 absolute error = 1.924682635490171e-12 relative error = 8.381477324173486e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9199983102654692 y[1] (closed_form) = 2.314176809267341 y[1] (numeric) = 2.314176809265418 absolute error = 1.922906278650771e-12 relative error = 8.309245304638393e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300252793973691 y[1] (closed_form) = 2.332211561770116 y[1] (numeric) = 2.332211561768195 absolute error = 1.920685832601521e-12 relative error = 8.235469989453904e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400522485292691 y[1] (closed_form) = 2.350306418026231 y[1] (numeric) = 2.350306418024312 absolute error = 1.918909475762121e-12 relative error = 8.164507661829071e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9499956595850698 y[1] (closed_form) = 2.368309039565864 y[1] (numeric) = 2.36830903956395 absolute error = 1.91402449445377e-12 relative error = 8.081818979184534e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600226287169698 y[1] (closed_form) = 2.386521180045492 y[1] (numeric) = 2.386521180043584 absolute error = 1.908251334725719e-12 relative error = 7.995953904290694e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700495978488697 y[1] (closed_form) = 2.404790979940747 y[1] (numeric) = 2.404790979938843 absolute error = 1.903810442627218e-12 relative error = 7.916739785318589e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9799930089046704 y[1] (closed_form) = 2.422964656065777 y[1] (numeric) = 2.422964656063877 absolute error = 1.899813639738568e-12 relative error = 7.840864021612839e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900199780365704 y[1] (closed_form) = 2.441346819722053 y[1] (numeric) = 2.441346819720155 absolute error = 1.898481372109018e-12 relative error = 7.776368997523913e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.00004694716847 y[1] (closed_form) = 2.459784146575826 y[1] (numeric) = 2.459784146573932 absolute error = 1.894040480010517e-12 relative error = 7.700027185910358e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.01007391630037 y[1] (closed_form) = 2.47827579105589 y[1] (numeric) = 2.478275791054003 absolute error = 1.886935052652916e-12 relative error = 7.613902615128123e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020017327356171 y[1] (closed_form) = 2.49666614096228 y[1] (numeric) = 2.496666140960399 absolute error = 1.881605982134715e-12 relative error = 7.536474145515889e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030044296488071 y[1] (closed_form) = 2.515263427357635 y[1] (numeric) = 2.515263427355758 absolute error = 1.876721000826365e-12 relative error = 7.461329817043937e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040071265619971 y[1] (closed_form) = 2.533912469444553 y[1] (numeric) = 2.53391246944268 absolute error = 1.873168287147564e-12 relative error = 7.392395395402795e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050014676675772 y[1] (closed_form) = 2.552456359727072 y[1] (numeric) = 2.552456359725201 absolute error = 1.871391930308164e-12 relative error = 7.331729387562446e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060041645807672 y[1] (closed_form) = 2.571205894319716 y[1] (numeric) = 2.57120589431785 absolute error = 1.866062859789963e-12 relative error = 7.257539600047012e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070068614939572 y[1] (closed_form) = 2.590004576100798 y[1] (numeric) = 2.590004576098937 absolute error = 1.860733789271762e-12 relative error = 7.184287651232885e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080012025995372 y[1] (closed_form) = 2.608694268276219 y[1] (numeric) = 2.608694268274363 absolute error = 1.856292897173262e-12 relative error = 7.115793214050601e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090038995127272 y[1] (closed_form) = 2.627588202732967 y[1] (numeric) = 2.627588202731117 absolute error = 1.849187469815661e-12 relative error = 7.037584762682038e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100065964259172 y[1] (closed_form) = 2.64652863165369 y[1] (numeric) = 2.646528631651845 absolute error = 1.84563475613686e-12 relative error = 6.973794781821841e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110009375314973 y[1] (closed_form) = 2.665356256050107 y[1] (numeric) = 2.665356256048265 absolute error = 1.84208204245806e-12 relative error = 6.911203852305699e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120036344446873 y[1] (closed_form) = 2.684386612110605 y[1] (numeric) = 2.684386612108767 absolute error = 1.838085239569409e-12 relative error = 6.847319351381396e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130063313578773 y[1] (closed_form) = 2.703460768076129 y[1] (numeric) = 2.703460768074296 absolute error = 1.832756169051208e-12 relative error = 6.779296340059183e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140006724634574 y[1] (closed_form) = 2.72241833091388 y[1] (numeric) = 2.722418330912051 absolute error = 1.828759366162558e-12 relative error = 6.717407627609778e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150033693766473 y[1] (closed_form) = 2.741577007569231 y[1] (numeric) = 2.741577007567408 absolute error = 1.823430295644357e-12 relative error = 6.651027093567101e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160060662898373 y[1] (closed_form) = 2.760776750160664 y[1] (numeric) = 2.760776750158843 absolute error = 1.820765760385257e-12 relative error = 6.595121319676778e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170004073954174 y[1] (closed_form) = 2.779856140744923 y[1] (numeric) = 2.779856140743105 absolute error = 1.818101225126156e-12 relative error = 6.540270909986574e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180031043086074 y[1] (closed_form) = 2.799134921526759 y[1] (numeric) = 2.799134921524946 absolute error = 1.813216243817806e-12 relative error = 6.477773650256221e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190058012217974 y[1] (closed_form) = 2.818451997325695 y[1] (numeric) = 2.818451997323887 absolute error = 1.807443084089755e-12 relative error = 6.412892913573686e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200001423273775 y[1] (closed_form) = 2.837644995344256 y[1] (numeric) = 2.837644995342453 absolute error = 1.803002191991254e-12 relative error = 6.35386806647573e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210028392405675 y[1] (closed_form) = 2.857035555717702 y[1] (numeric) = 2.857035555715902 absolute error = 1.800337656732154e-12 relative error = 6.301418451475657e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220055361537575 y[1] (closed_form) = 2.876461605732422 y[1] (numeric) = 2.876461605730628 absolute error = 1.794120407794253e-12 relative error = 6.237247888929924e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.229998772593375 y[1] (closed_form) = 2.895759888652125 y[1] (numeric) = 2.895759888650335 absolute error = 1.790567694115452e-12 relative error = 6.183412171472887e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240025741725275 y[1] (closed_form) = 2.915253803505991 y[1] (numeric) = 2.915253803504206 absolute error = 1.784794534387402e-12 relative error = 6.122261232421487e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250052710857175 y[1] (closed_form) = 2.934780370692667 y[1] (numeric) = 2.934780370690885 absolute error = 1.782574088338151e-12 relative error = 6.073960784729619e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.259996121912976 y[1] (closed_form) = 2.954175521247787 y[1] (numeric) = 2.954175521246009 absolute error = 1.778133196239651e-12 relative error = 6.019050606338385e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270023091044876 y[1] (closed_form) = 2.973764272475261 y[1] (numeric) = 2.973764272473485 absolute error = 1.77546866098055e-12 relative error = 5.970441831634188e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280050060176776 y[1] (closed_form) = 2.993382809347378 y[1] (numeric) = 2.993382809345608 absolute error = 1.77013959046235e-12 relative error = 5.913508906828653e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.289993471232577 y[1] (closed_form) = 3.012866323113259 y[1] (numeric) = 3.012866323111494 absolute error = 1.764810519944149e-12 relative error = 5.857579894618533e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300020440364477 y[1] (closed_form) = 3.032541307276274 y[1] (numeric) = 3.032541307274512 absolute error = 1.762145984685048e-12 relative error = 5.810789717709562e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310047409496377 y[1] (closed_form) = 3.052243183595432 y[1] (numeric) = 3.052243183593673 absolute error = 1.759037360216098e-12 relative error = 5.763097022118715e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320074378628276 y[1] (closed_form) = 3.07197097936265 y[1] (numeric) = 3.071970979360895 absolute error = 1.754596468117597e-12 relative error = 5.711631001415346e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330017789684077 y[1] (closed_form) = 3.091559012710924 y[1] (numeric) = 3.091559012709172 absolute error = 1.751931932858497e-12 relative error = 5.666823520610283e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340044758815977 y[1] (closed_form) = 3.111335523252098 y[1] (numeric) = 3.111335523250351 absolute error = 1.746158773130446e-12 relative error = 5.61224837398857e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350071727947877 y[1] (closed_form) = 3.131135028052312 y[1] (numeric) = 3.131135028050568 absolute error = 1.743938327081196e-12 relative error = 5.569668224004998e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360015139003678 y[1] (closed_form) = 3.150791277032048 y[1] (numeric) = 3.150791277030312 absolute error = 1.736388810513745e-12 relative error = 5.510961081971039e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370042108135578 y[1] (closed_form) = 3.170633649416318 y[1] (numeric) = 3.170633649414585 absolute error = 1.732836096834944e-12 relative error = 5.465267477855546e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380069077267478 y[1] (closed_form) = 3.190496070180982 y[1] (numeric) = 3.190496070179255 absolute error = 1.727507026316744e-12 relative error = 5.414540523846343e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390012488323279 y[1] (closed_form) = 3.210211795438085 y[1] (numeric) = 3.210211795436359 absolute error = 1.726174758687193e-12 relative error = 5.377136677213003e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400039457455178 y[1] (closed_form) = 3.230111198025789 y[1] (numeric) = 3.230111198024066 absolute error = 1.723066134218243e-12 relative error = 5.334386430013193e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410066426587078 y[1] (closed_form) = 3.250027685076244 y[1] (numeric) = 3.250027685074525 absolute error = 1.718181152909892e-12 relative error = 5.286666205335986e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420009837642879 y[1] (closed_form) = 3.269794093741437 y[1] (numeric) = 3.269794093739722 absolute error = 1.715072528440942e-12 relative error = 5.245200398776435e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430036806774779 y[1] (closed_form) = 3.289741643578651 y[1] (numeric) = 3.289741643576941 absolute error = 1.709743457922741e-12 relative error = 5.197196750267738e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440063775906679 y[1] (closed_form) = 3.309703298588822 y[1] (numeric) = 3.309703298587116 absolute error = 1.70530256582424e-12 relative error = 5.152433351205048e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.45000718696248 y[1] (closed_form) = 3.329511552189245 y[1] (numeric) = 3.329511552187543 absolute error = 1.70219394135529e-12 relative error = 5.112443416020139e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.46003415609438 y[1] (closed_form) = 3.349498323000422 y[1] (numeric) = 3.349498322998724 absolute error = 1.698197138466639e-12 relative error = 5.070004444562384e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.47006112522628 y[1] (closed_form) = 3.369496207003305 y[1] (numeric) = 3.369496207001612 absolute error = 1.693312157158289e-12 relative error = 5.025416421715615e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.48000453628208 y[1] (closed_form) = 3.389337429415133 y[1] (numeric) = 3.389337429413442 absolute error = 1.691091711109038e-12 relative error = 4.989446304261463e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.49003150541398 y[1] (closed_form) = 3.409354459634738 y[1] (numeric) = 3.409354459633052 absolute error = 1.685762640590838e-12 relative error = 4.94452149387671e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.50005847454588 y[1] (closed_form) = 3.429379601065438 y[1] (numeric) = 3.429379601063758 absolute error = 1.680433570072637e-12 relative error = 4.900109540368644e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510001885601681 y[1] (closed_form) = 3.449244886500384 y[1] (numeric) = 3.449244886498707 absolute error = 1.676436767183986e-12 relative error = 4.860300797270748e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520028854733581 y[1] (closed_form) = 3.469283187336264 y[1] (numeric) = 3.469283187334592 absolute error = 1.672439964295336e-12 relative error = 4.820707546735166e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530055823865481 y[1] (closed_form) = 3.48932659010438 y[1] (numeric) = 3.489326590102714 absolute error = 1.666222715357435e-12 relative error = 4.775198515618429e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.539999234921282 y[1] (closed_form) = 3.509207011122883 y[1] (numeric) = 3.509207011121223 absolute error = 1.660449555629384e-12 relative error = 4.731694512083145e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550026204053182 y[1] (closed_form) = 3.529257574644152 y[1] (numeric) = 3.529257574642499 absolute error = 1.652900039061933e-12 relative error = 4.68342138283458e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560053173185082 y[1] (closed_form) = 3.549310226228212 y[1] (numeric) = 3.549310226226563 absolute error = 1.648459146963432e-12 relative error = 4.644449320833869e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.569996584240882 y[1] (closed_form) = 3.569196841772119 y[1] (numeric) = 3.569196841770473 absolute error = 1.646238700914182e-12 relative error = 4.612350548020823e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580023553372782 y[1] (closed_form) = 3.58925064901425 y[1] (numeric) = 3.589250649012609 absolute error = 1.640909630395981e-12 relative error = 4.571733185718417e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590050522504682 y[1] (closed_form) = 3.609303528570943 y[1] (numeric) = 3.60930352856931 absolute error = 1.63336011382853e-12 relative error = 4.525416332815983e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.599993933560483 y[1] (closed_form) = 3.629187392008428 y[1] (numeric) = 3.629187392006798 absolute error = 1.63069557856943e-12 relative error = 4.493280182115332e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610020902692383 y[1] (closed_form) = 3.64923542108828 y[1] (numeric) = 3.649235421086653 absolute error = 1.626698775680779e-12 relative error = 4.457642733270585e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620047871824283 y[1] (closed_form) = 3.669279507569172 y[1] (numeric) = 3.669279507567549 absolute error = 1.623146062001979e-12 relative error = 4.423609754050278e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630074840956183 y[1] (closed_form) = 3.689318644337463 y[1] (numeric) = 3.689318644335846 absolute error = 1.617372902273928e-12 relative error = 4.383933886427367e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640018252011983 y[1] (closed_form) = 3.709184908978153 y[1] (numeric) = 3.70918490897654 absolute error = 1.612487920965577e-12 relative error = 4.347283730887936e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650045221143883 y[1] (closed_form) = 3.729211189246587 y[1] (numeric) = 3.729211189244976 absolute error = 1.610711564126177e-12 relative error = 4.319174973975099e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660072190275783 y[1] (closed_form) = 3.749229510226567 y[1] (numeric) = 3.749229510224961 absolute error = 1.606270672027676e-12 relative error = 4.284268721470212e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670015601331584 y[1] (closed_form) = 3.769072162543552 y[1] (numeric) = 3.76907216254195 absolute error = 1.602717958348876e-12 relative error = 4.252287802490055e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680042570463484 y[1] (closed_form) = 3.789071639484428 y[1] (numeric) = 3.789071639482832 absolute error = 1.595612530991275e-12 relative error = 4.211090955272588e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690069539595384 y[1] (closed_form) = 3.809060154722555 y[1] (numeric) = 3.809060154720965 absolute error = 1.590727549682924e-12 relative error = 4.176168096769765e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700012950651185 y[1] (closed_form) = 3.828870287640957 y[1] (numeric) = 3.82887028763937 absolute error = 1.586286657584424e-12 relative error = 4.142962645417185e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710039919783085 y[1] (closed_form) = 3.848833988256097 y[1] (numeric) = 3.848833988254517 absolute error = 1.580513497856373e-12 relative error = 4.106473551935406e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720066888914985 y[1] (closed_form) = 3.868783734617245 y[1] (numeric) = 3.868783734615669 absolute error = 1.576072605757872e-12 relative error = 4.073819354789548e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730010299970785 y[1] (closed_form) = 3.888552470322278 y[1] (numeric) = 3.888552470320705 absolute error = 1.572519892079072e-12 relative error = 4.043972414106948e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740037269102685 y[1] (closed_form) = 3.908471453804098 y[1] (numeric) = 3.908471453802532 absolute error = 1.566302643141171e-12 relative error = 4.007455757714939e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750064238234585 y[1] (closed_form) = 3.928373503036347 y[1] (numeric) = 3.928373503034787 absolute error = 1.56052948341312e-12 relative error = 3.972457003405975e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760007649290386 y[1] (closed_form) = 3.948092000961339 y[1] (numeric) = 3.948092000959782 absolute error = 1.55786494815402e-12 relative error = 3.945867897137878e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770034618422286 y[1] (closed_form) = 3.967957366737544 y[1] (numeric) = 3.96795736673599 absolute error = 1.553868145265369e-12 relative error = 3.916040424957893e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780061587554186 y[1] (closed_form) = 3.987802833505588 y[1] (numeric) = 3.98780283350404 absolute error = 1.548094985537318e-12 relative error = 3.882075042753361e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790004998609987 y[1] (closed_form) = 4.007462298286493 y[1] (numeric) = 4.007462298284945 absolute error = 1.547206807117618e-12 relative error = 3.860814380659729e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800031967741887 y[1] (closed_form) = 4.027265194028576 y[1] (numeric) = 4.027265194027035 absolute error = 1.540989558179717e-12 relative error = 3.826392064929367e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810058936873786 y[1] (closed_form) = 4.04704524390851 y[1] (numeric) = 4.047045243906974 absolute error = 1.535660487661517e-12 relative error = 3.794522658161398e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820002347929587 y[1] (closed_form) = 4.066636933297739 y[1] (numeric) = 4.066636933296207 absolute error = 1.531219595563016e-12 relative error = 3.765321617539413e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830029317061487 y[1] (closed_form) = 4.086368562886076 y[1] (numeric) = 4.086368562884545 absolute error = 1.531219595563016e-12 relative error = 3.747140210185943e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840056286193387 y[1] (closed_form) = 4.106074420314378 y[1] (numeric) = 4.106074420312845 absolute error = 1.532107773982716e-12 relative error = 3.73132003259067e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.849999697249188 y[1] (closed_form) = 4.125589653046839 y[1] (numeric) = 4.125589653045315 absolute error = 1.524114168205415e-12 relative error = 3.69429414066865e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860026666381088 y[1] (closed_form) = 4.145241284485204 y[1] (numeric) = 4.145241284483689 absolute error = 1.515232384008414e-12 relative error = 3.655353886587062e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870053635512988 y[1] (closed_form) = 4.16486424065475 y[1] (numeric) = 4.16486424065324 absolute error = 1.509903313490213e-12 relative error = 3.625336208444682e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.879997046568789 y[1] (closed_form) = 4.184294404259031 y[1] (numeric) = 4.184294404257524 absolute error = 1.507238778231113e-12 relative error = 3.602133675625101e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890024015700688 y[1] (closed_form) = 4.203857377531407 y[1] (numeric) = 4.203857377529902 absolute error = 1.505462421391712e-12 relative error = 3.581145329615705e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900050984832588 y[1] (closed_form) = 4.223388798227432 y[1] (numeric) = 4.223388798225932 absolute error = 1.499245172453811e-12 relative error = 3.549863022516537e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.909994395888389 y[1] (closed_form) = 4.242725356775063 y[1] (numeric) = 4.242725356773565 absolute error = 1.497468815614411e-12 relative error = 3.529497409543973e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920021365020289 y[1] (closed_form) = 4.262191091637706 y[1] (numeric) = 4.262191091636216 absolute error = 1.49036338825681e-12 relative error = 3.496707107245519e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930048334152189 y[1] (closed_form) = 4.281622425006635 y[1] (numeric) = 4.281622425005149 absolute error = 1.48592249615831e-12 relative error = 3.470465979157438e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.93999174520799 y[1] (closed_form) = 4.300856926792496 y[1] (numeric) = 4.300856926791017 absolute error = 1.478817068800709e-12 relative error = 3.43842423492005e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.95001871433989 y[1] (closed_form) = 4.320216930494203 y[1] (numeric) = 4.32021693049273 absolute error = 1.472599819862808e-12 relative error = 3.408624713885264e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.96004568347179 y[1] (closed_form) = 4.339539714738385 y[1] (numeric) = 4.339539714736913 absolute error = 1.472599819862808e-12 relative error = 3.393447039697355e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.97007265260369 y[1] (closed_form) = 4.358824344930599 y[1] (numeric) = 4.358824344929124 absolute error = 1.475264355121908e-12 relative error = 3.38454647028314e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.98001606365949 y[1] (closed_form) = 4.377909674808988 y[1] (numeric) = 4.377909674807515 absolute error = 1.473487998282508e-12 relative error = 3.365734123664389e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.99004303279139 y[1] (closed_form) = 4.397115545800399 y[1] (numeric) = 4.397115545798927 absolute error = 1.471711641443108e-12 relative error = 3.346993332592115e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.00007000192329 y[1] (closed_form) = 4.416280490019486 y[1] (numeric) = 4.416280490018011 absolute error = 1.474376176702208e-12 relative error = 3.338502117413521e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010013412979091 y[1] (closed_form) = 4.435244404999795 y[1] (numeric) = 4.43524440499832 absolute error = 1.474376176702208e-12 relative error = 3.324227578169452e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020040382110991 y[1] (closed_form) = 4.454325103805854 y[1] (numeric) = 4.454325103804378 absolute error = 1.475264355121908e-12 relative error = 3.311981772191294e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030067351242891 y[1] (closed_form) = 4.473362139944058 y[1] (numeric) = 4.473362139942589 absolute error = 1.469047106184007e-12 relative error = 3.283988776733329e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.040010762298692 y[1] (closed_form) = 4.49219652361597 y[1] (numeric) = 4.492196523614507 absolute error = 1.462829857246106e-12 relative error = 3.256379923620548e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.050037731430592 y[1] (closed_form) = 4.511143903930713 y[1] (numeric) = 4.511143903929248 absolute error = 1.464606214085507e-12 relative error = 3.246640420424951e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060064700562492 y[1] (closed_form) = 4.53004492496858 y[1] (numeric) = 4.530044924967118 absolute error = 1.461941678826406e-12 relative error = 3.227212319172631e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.070008111618292 y[1] (closed_form) = 4.548741777470616 y[1] (numeric) = 4.548741777469164 absolute error = 1.451283537790005e-12 relative error = 3.190516430231414e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.080035080750192 y[1] (closed_form) = 4.567547812944522 y[1] (numeric) = 4.56754781294307 absolute error = 1.451283537790005e-12 relative error = 3.177380067433642e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.090062049882092 y[1] (closed_form) = 4.58630483424538 y[1] (numeric) = 4.586304834243929 absolute error = 1.451283537790005e-12 relative error = 3.164385251833779e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100005460937893 y[1] (closed_form) = 4.604856279462963 y[1] (numeric) = 4.604856279461515 absolute error = 1.447730824111204e-12 relative error = 3.143921843050538e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110032430069793 y[1] (closed_form) = 4.623513070924852 y[1] (numeric) = 4.623513070923407 absolute error = 1.445066288852104e-12 relative error = 3.125472485282807e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120059399201693 y[1] (closed_form) = 4.642118237419174 y[1] (numeric) = 4.642118237417736 absolute error = 1.437960861494503e-12 relative error = 3.097639456710498e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130002810257494 y[1] (closed_form) = 4.660516530071346 y[1] (numeric) = 4.660516530069913 absolute error = 1.433519969396002e-12 relative error = 3.075882169168182e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140029779389394 y[1] (closed_form) = 4.679016312635845 y[1] (numeric) = 4.679016312634415 absolute error = 1.429967255717202e-12 relative error = 3.05612795547544e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.150056748521294 y[1] (closed_form) = 4.697461905889035 y[1] (numeric) = 4.697461905887605 absolute error = 1.429967255717202e-12 relative error = 3.044127412559757e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.160000159577094 y[1] (closed_form) = 4.715699438497457 y[1] (numeric) = 4.715699438496029 absolute error = 1.428190898877801e-12 relative error = 3.028587630540041e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.170027128708994 y[1] (closed_form) = 4.734034588551634 y[1] (numeric) = 4.734034588550212 absolute error = 1.4219736499399e-12 relative error = 3.003724673619146e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.180054097840894 y[1] (closed_form) = 4.752313033708869 y[1] (numeric) = 4.752313033707449 absolute error = 1.4201972931005e-12 relative error = 2.988433806920604e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189997508896695 y[1] (closed_form) = 4.770382343442828 y[1] (numeric) = 4.770382343441411 absolute error = 1.4166445794217e-12 relative error = 2.969666742476023e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200024478028595 y[1] (closed_form) = 4.788545385505723 y[1] (numeric) = 4.788545385504314 absolute error = 1.408650973644399e-12 relative error = 2.941709559458691e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.210051447160495 y[1] (closed_form) = 4.806649258107605 y[1] (numeric) = 4.8066492581062 absolute error = 1.405098259965598e-12 relative error = 2.923238589950269e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219994858216296 y[1] (closed_form) = 4.824543033498869 y[1] (numeric) = 4.824543033497474 absolute error = 1.394440118929197e-12 relative error = 2.890305069821124e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230021827348196 y[1] (closed_form) = 4.842526646947729 y[1] (numeric) = 4.842526646946339 absolute error = 1.390887405250396e-12 relative error = 2.872234902676436e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.240048796480095 y[1] (closed_form) = 4.860448679610617 y[1] (numeric) = 4.860448679609227 absolute error = 1.389999226830696e-12 relative error = 2.859816692770949e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249992207535896 y[1] (closed_form) = 4.878159767132106 y[1] (numeric) = 4.878159767130719 absolute error = 1.387334691571596e-12 relative error = 2.843971410938876e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260019176667796 y[1] (closed_form) = 4.89595679278929 y[1] (numeric) = 4.895956792787905 absolute error = 1.385558334732195e-12 relative error = 2.830005233650816e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.270046145799696 y[1] (closed_form) = 4.913689881744299 y[1] (numeric) = 4.91368988174292 absolute error = 1.378452907374594e-12 relative error = 2.805331513687756e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.280073114931596 y[1] (closed_form) = 4.931358259229491 y[1] (numeric) = 4.931358259228119 absolute error = 1.371347480016993e-12 relative error = 2.780871735389313e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.290016525987397 y[1] (closed_form) = 4.948814738821248 y[1] (numeric) = 4.948814738819876 absolute error = 1.372235658436693e-12 relative error = 2.772857200881083e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.300043495119297 y[1] (closed_form) = 4.966351950306036 y[1] (numeric) = 4.966351950304668 absolute error = 1.367794766338193e-12 relative error = 2.754123710974424e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310070464251197 y[1] (closed_form) = 4.983822171626732 y[1] (numeric) = 4.983822171625366 absolute error = 1.366018409498793e-12 relative error = 2.740905197772979e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320013875306997 y[1] (closed_form) = 5.001079915684668 y[1] (numeric) = 5.001079915683309 absolute error = 1.358912982141192e-12 relative error = 2.71723908646069e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330040844438897 y[1] (closed_form) = 5.018414492182247 y[1] (numeric) = 5.018414492180894 absolute error = 1.352695733203291e-12 relative error = 2.695464344984931e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.340067813570797 y[1] (closed_form) = 5.035679860097435 y[1] (numeric) = 5.03567986009609 absolute error = 1.34470212742599e-12 relative error = 2.670348721095965e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.350011224626598 y[1] (closed_form) = 5.052732287378603 y[1] (numeric) = 5.052732287377261 absolute error = 1.342037592166889e-12 relative error = 2.6560631275067e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.360038193758498 y[1] (closed_form) = 5.069857653697573 y[1] (numeric) = 5.069857653696236 absolute error = 1.337596700068389e-12 relative error = 2.638331865378599e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370065162890398 y[1] (closed_form) = 5.086911655287903 y[1] (numeric) = 5.086911655286571 absolute error = 1.332267629550188e-12 relative error = 2.619010747248344e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380008573946199 y[1] (closed_form) = 5.103752369287948 y[1] (numeric) = 5.103752369286619 absolute error = 1.328714915871387e-12 relative error = 2.60340788449492e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390035543078099 y[1] (closed_form) = 5.120662138478686 y[1] (numeric) = 5.120662138477367 absolute error = 1.318944953254686e-12 relative error = 2.575731258158219e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400062512209999 y[1] (closed_form) = 5.137498451006621 y[1] (numeric) = 5.137498451005309 absolute error = 1.312727704316785e-12 relative error = 2.555188516036583e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.410005923265799 y[1] (closed_form) = 5.154121245715187 y[1] (numeric) = 5.154121245713878 absolute error = 1.309174990637985e-12 relative error = 2.54005470229547e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420032892397699 y[1] (closed_form) = 5.170809224816647 y[1] (numeric) = 5.170809224815343 absolute error = 1.304734098539484e-12 relative error = 2.523268683512006e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430059861529599 y[1] (closed_form) = 5.187421721415503 y[1] (numeric) = 5.187421721414202 absolute error = 1.301181384860683e-12 relative error = 2.50833931524971e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.4400032725854 y[1] (closed_form) = 5.203820586900235 y[1] (numeric) = 5.203820586898942 absolute error = 1.293187779083382e-12 relative error = 2.485073721293871e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.4500302417173 y[1] (closed_form) = 5.220280782512217 y[1] (numeric) = 5.220280782510925 absolute error = 1.292299600663682e-12 relative error = 2.475536574570561e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.4600572108492 y[1] (closed_form) = 5.236663537698949 y[1] (numeric) = 5.236663537697659 absolute error = 1.289635065404582e-12 relative error = 2.462703696963625e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.470000621905001 y[1] (closed_form) = 5.252832665513074 y[1] (numeric) = 5.252832665511784 absolute error = 1.289635065404582e-12 relative error = 2.455123068875859e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.480027591036901 y[1] (closed_form) = 5.269059289188922 y[1] (numeric) = 5.269059289187635 absolute error = 1.286970530145481e-12 relative error = 2.442505311690254e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.4900545601688 y[1] (closed_form) = 5.285206584195714 y[1] (numeric) = 5.285206584194425 absolute error = 1.288746886984882e-12 relative error = 2.438403998887395e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499997971224601 y[1] (closed_form) = 5.301140372604323 y[1] (numeric) = 5.301140372603039 absolute error = 1.283417816466681e-12 relative error = 2.421022131576132e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.510024940356501 y[1] (closed_form) = 5.31712784605922 y[1] (numeric) = 5.317127846057941 absolute error = 1.27897692436818e-12 relative error = 2.405390581902393e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.520051909488401 y[1] (closed_form) = 5.333034173979087 y[1] (numeric) = 5.333034173977817 absolute error = 1.270095140171179e-12 relative error = 2.381561975297704e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.529995320544202 y[1] (closed_form) = 5.348727232999431 y[1] (numeric) = 5.348727232998159 absolute error = 1.271871497010579e-12 relative error = 2.377895603207543e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.540022289676102 y[1] (closed_form) = 5.364470193129586 y[1] (numeric) = 5.364470193128324 absolute error = 1.262101534393878e-12 relative error = 2.352704906460816e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.550049258808002 y[1] (closed_form) = 5.38013026387134 y[1] (numeric) = 5.380130263870081 absolute error = 1.259436999134778e-12 relative error = 2.340904285519165e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559992669863802 y[1] (closed_form) = 5.395577420122592 y[1] (numeric) = 5.395577420121337 absolute error = 1.254996107036277e-12 relative error = 2.325971827140908e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570019638995702 y[1] (closed_form) = 5.411070723830823 y[1] (numeric) = 5.411070723829575 absolute error = 1.248778858098376e-12 relative error = 2.307822096278738e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.580046608127602 y[1] (closed_form) = 5.426479468878959 y[1] (numeric) = 5.426479468877714 absolute error = 1.245226144419576e-12 relative error = 2.29472193078586e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.590073577259502 y[1] (closed_form) = 5.44180311418719 y[1] (numeric) = 5.441803114185946 absolute error = 1.243449787580175e-12 relative error = 2.28499591309801e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600016988315303 y[1] (closed_form) = 5.456914499060444 y[1] (numeric) = 5.456914499059201 absolute error = 1.242561609160475e-12 relative error = 2.277040641509805e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.610043957447203 y[1] (closed_form) = 5.47206707603565 y[1] (numeric) = 5.472067076034416 absolute error = 1.233679824963474e-12 relative error = 2.254504208046438e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620070926579103 y[1] (closed_form) = 5.487132985837847 y[1] (numeric) = 5.487132985836616 absolute error = 1.231015289704374e-12 relative error = 2.243458091651129e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.630014337634904 y[1] (closed_form) = 5.501987260624466 y[1] (numeric) = 5.501987260623235 absolute error = 1.231015289704374e-12 relative error = 2.237401199588847e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.640041306766804 y[1] (closed_form) = 5.516879057640676 y[1] (numeric) = 5.516879057639446 absolute error = 1.230127111284673e-12 relative error = 2.229751818795071e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.650068275898704 y[1] (closed_form) = 5.531682698031595 y[1] (numeric) = 5.531682698030372 absolute error = 1.223021683927072e-12 relative error = 2.210939691754689e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660011686954504 y[1] (closed_form) = 5.546275444066572 y[1] (numeric) = 5.546275444065354 absolute error = 1.217692613408872e-12 relative error = 2.195514135006699e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.670038656086404 y[1] (closed_form) = 5.560902083880611 y[1] (numeric) = 5.560902083879395 absolute error = 1.215916256569471e-12 relative error = 2.186544985379348e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680065625218304 y[1] (closed_form) = 5.575439156938074 y[1] (numeric) = 5.575439156936862 absolute error = 1.212363542890671e-12 relative error = 2.174471837580733e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690009036274105 y[1] (closed_form) = 5.589766190873037 y[1] (numeric) = 5.589766190871829 absolute error = 1.20881082921187e-12 relative error = 2.162542739597257e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700036005406005 y[1] (closed_form) = 5.604123534823154 y[1] (numeric) = 5.604123534821946 absolute error = 1.20792265079217e-12 relative error = 2.155417601497052e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710062974537905 y[1] (closed_form) = 5.618389982475203 y[1] (numeric) = 5.618389982473999 absolute error = 1.20436993711337e-12 relative error = 2.143621110086737e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720006385593706 y[1] (closed_form) = 5.632447360042487 y[1] (numeric) = 5.632447360041287 absolute error = 1.200817223434569e-12 relative error = 2.131963508355826e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.730033354725605 y[1] (closed_form) = 5.646531511772208 y[1] (numeric) = 5.646531511771014 absolute error = 1.194599974496668e-12 relative error = 2.115635008865352e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.740060323857505 y[1] (closed_form) = 5.66052351944845 y[1] (numeric) = 5.660523519447259 absolute error = 1.191047260817868e-12 relative error = 2.104129161773929e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.750003734913306 y[1] (closed_form) = 5.674307539010041 y[1] (numeric) = 5.674307539008852 absolute error = 1.188382725558768e-12 relative error = 2.094322025002714e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760030704045206 y[1] (closed_form) = 5.688114847974013 y[1] (numeric) = 5.688114847972828 absolute error = 1.185718190299667e-12 relative error = 2.084553884705748e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.770057673177106 y[1] (closed_form) = 5.70182884803787 y[1] (numeric) = 5.701828848036689 absolute error = 1.181277298201167e-12 relative error = 2.071751590031804e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.780001084232907 y[1] (closed_form) = 5.71533605391604 y[1] (numeric) = 5.715336053914867 absolute error = 1.173283692423865e-12 relative error = 2.052869125027134e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790028053364807 y[1] (closed_form) = 5.728863118664692 y[1] (numeric) = 5.728863118663526 absolute error = 1.166178265066264e-12 relative error = 2.035619006617289e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800055022496707 y[1] (closed_form) = 5.742295793623467 y[1] (numeric) = 5.742295793622303 absolute error = 1.163513729807164e-12 relative error = 2.026216989900082e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809998433552507 y[1] (closed_form) = 5.755522979210104 y[1] (numeric) = 5.755522979208946 absolute error = 1.158184659288963e-12 relative error = 2.012301338162521e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.820025402684407 y[1] (closed_form) = 5.76876665045018 y[1] (numeric) = 5.768766650449024 absolute error = 1.156408302449563e-12 relative error = 2.004602322334046e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830052371816307 y[1] (closed_form) = 5.781914935940048 y[1] (numeric) = 5.781914935938892 absolute error = 1.155520124029863e-12 relative error = 1.99850765158653e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839995782872108 y[1] (closed_form) = 5.794859146581876 y[1] (numeric) = 5.794859146580725 absolute error = 1.151079231931362e-12 relative error = 1.986380001333305e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.850022752004008 y[1] (closed_form) = 5.807816530010086 y[1] (numeric) = 5.80781653000894 absolute error = 1.146638339832862e-12 relative error = 1.974301932418086e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.860049721135908 y[1] (closed_form) = 5.820677617553327 y[1] (numeric) = 5.820677617552185 absolute error = 1.142197447734361e-12 relative error = 1.962310099926946e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869993132191709 y[1] (closed_form) = 5.833336153210425 y[1] (numeric) = 5.833336153209283 absolute error = 1.142197447734361e-12 relative error = 1.958051821007681e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880020101323609 y[1] (closed_form) = 5.846004612117664 y[1] (numeric) = 5.846004612116523 absolute error = 1.141309269314661e-12 relative error = 1.952289375463273e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890047070455509 y[1] (closed_form) = 5.85857595164966 y[1] (numeric) = 5.858575951648521 absolute error = 1.139532912475261e-12 relative error = 1.945068088012737e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900074039587409 y[1] (closed_form) = 5.871049915997277 y[1] (numeric) = 5.871049915996143 absolute error = 1.13420384195706e-12 relative error = 1.931858625263281e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.910017450643209 y[1] (closed_form) = 5.88332352696867 y[1] (numeric) = 5.883323526967536 absolute error = 1.13420384195706e-12 relative error = 1.927828440435007e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920044419775109 y[1] (closed_form) = 5.895602829132381 y[1] (numeric) = 5.895602829131249 absolute error = 1.13153930669796e-12 relative error = 1.919293648999896e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.930071388907009 y[1] (closed_form) = 5.907784049368098 y[1] (numeric) = 5.907784049366968 absolute error = 1.130651128278259e-12 relative error = 1.913832866655298e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.94001479996281 y[1] (closed_form) = 5.91976668681252 y[1] (numeric) = 5.919766686811395 absolute error = 1.125322057760059e-12 relative error = 1.900956772953471e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.95004176909471 y[1] (closed_form) = 5.931751925018387 y[1] (numeric) = 5.931751925017267 absolute error = 1.120881165661558e-12 relative error = 1.889629202013676e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.96006873822661 y[1] (closed_form) = 5.943638462804167 y[1] (numeric) = 5.943638462803046 absolute error = 1.121769344081258e-12 relative error = 1.887344513131802e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970012149282411 y[1] (closed_form) = 5.955328291879768 y[1] (numeric) = 5.955328291878647 absolute error = 1.120881165661558e-12 relative error = 1.882148406813956e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98003911841431 y[1] (closed_form) = 5.967017704129189 y[1] (numeric) = 5.96701770412807 absolute error = 1.119104808822158e-12 relative error = 1.875484311111956e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99006608754621 y[1] (closed_form) = 5.97860788627445 y[1] (numeric) = 5.978607886273332 absolute error = 1.117328451982758e-12 relative error = 1.868877292568216e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.000009498602011 y[1] (closed_form) = 5.990003335600589 y[1] (numeric) = 5.990003335599473 absolute error = 1.115552095143357e-12 relative error = 1.862356383865863e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.010036467733911 y[1] (closed_form) = 6.001395426071314 y[1] (numeric) = 6.001395426070204 absolute error = 1.110223024625157e-12 relative error = 1.849941464950161e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.020063436865811 y[1] (closed_form) = 6.012687846038425 y[1] (numeric) = 6.012687846037319 absolute error = 1.105782132526656e-12 relative error = 1.839081224306733e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.030006847921612 y[1] (closed_form) = 6.023787609109557 y[1] (numeric) = 6.023787609108451 absolute error = 1.105782132526656e-12 relative error = 1.83569243187529e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.040033817053512 y[1] (closed_form) = 6.034881149501592 y[1] (numeric) = 6.034881149500494 absolute error = 1.097788526749355e-12 relative error = 1.819072322310803e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.050060786185412 y[1] (closed_form) = 6.045874668671434 y[1] (numeric) = 6.04587466867034 absolute error = 1.094235813070554e-12 relative error = 1.809888350383237e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.060004197241212 y[1] (closed_form) = 6.05667770503267 y[1] (numeric) = 6.056677705031577 absolute error = 1.093347634650854e-12 relative error = 1.805193685215179e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.070031166373112 y[1] (closed_form) = 6.067471735673468 y[1] (numeric) = 6.06747173567238 absolute error = 1.088018564132653e-12 relative error = 1.793199229484152e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.080058135505012 y[1] (closed_form) = 6.07816548436994 y[1] (numeric) = 6.078165484368854 absolute error = 1.086242207293253e-12 relative error = 1.787121805233068e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.090001546560813 y[1] (closed_form) = 6.088671020553216 y[1] (numeric) = 6.088671020552131 absolute error = 1.084465850453853e-12 relative error = 1.781120784475096e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.100028515692713 y[1] (closed_form) = 6.099164851261165 y[1] (numeric) = 6.099164851260079 absolute error = 1.085354028873553e-12 relative error = 1.779512532193858e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.110055484824613 y[1] (closed_form) = 6.109558229533688 y[1] (numeric) = 6.109558229532606 absolute error = 1.081801315194753e-12 relative error = 1.770670275250525e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.119998895880414 y[1] (closed_form) = 6.119765759753713 y[1] (numeric) = 6.119765759752632 absolute error = 1.080913136775052e-12 relative error = 1.766265538925714e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.130025865012314 y[1] (closed_form) = 6.129958970459143 y[1] (numeric) = 6.129958970458063 absolute error = 1.079136779935652e-12 relative error = 1.760430673575656e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.140052834144214 y[1] (closed_form) = 6.140051648622485 y[1] (numeric) = 6.140051648621411 absolute error = 1.074695887837152e-12 relative error = 1.75030431230698e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.149996245200014 y[1] (closed_form) = 6.14996093523184 y[1] (numeric) = 6.149960935230769 absolute error = 1.070254995738651e-12 relative error = 1.740263079733375e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.160023214331914 y[1] (closed_form) = 6.159853376354987 y[1] (numeric) = 6.15985337635392 absolute error = 1.067590460479551e-12 relative error = 1.733142650079251e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.170050183463814 y[1] (closed_form) = 6.169645295285905 y[1] (numeric) = 6.169645295284842 absolute error = 1.06314956838105e-12 relative error = 1.723193988467019e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.179993594519615 y[1] (closed_form) = 6.17925636898886 y[1] (numeric) = 6.1792563689878 absolute error = 1.059596854702249e-12 relative error = 1.714764352584446e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.190020563651515 y[1] (closed_form) = 6.188848161574462 y[1] (numeric) = 6.188848161573405 absolute error = 1.056932319443149e-12 relative error = 1.707801341783545e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.200047532783415 y[1] (closed_form) = 6.198339532764896 y[1] (numeric) = 6.19833953276384 absolute error = 1.056044141023449e-12 relative error = 1.703753296251551e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.210074501915315 y[1] (closed_form) = 6.207730536408786 y[1] (numeric) = 6.207730536407736 absolute error = 1.049826892085548e-12 relative error = 1.691160539150722e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.220017912971116 y[1] (closed_form) = 6.216944228198169 y[1] (numeric) = 6.216944228197125 absolute error = 1.044497821567347e-12 relative error = 1.6800823414658e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.230044882103015 y[1] (closed_form) = 6.226135533564949 y[1] (numeric) = 6.226135533563906 absolute error = 1.042721464727947e-12 relative error = 1.67474906241064e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.240071851234915 y[1] (closed_form) = 6.235226692707151 y[1] (numeric) = 6.235226692706112 absolute error = 1.039168751049147e-12 relative error = 1.666609414962538e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.250015262290716 y[1] (closed_form) = 6.24414328694988 y[1] (numeric) = 6.244143286948838 absolute error = 1.041833286308247e-12 relative error = 1.668496763175911e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.260042231422616 y[1] (closed_form) = 6.253035278401109 y[1] (numeric) = 6.253035278400066 absolute error = 1.042721464727947e-12 relative error = 1.66754450967142e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.270069200554516 y[1] (closed_form) = 6.261827435058647 y[1] (numeric) = 6.261827435057601 absolute error = 1.046274178406748e-12 relative error = 1.670876735677639e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.280012611610317 y[1] (closed_form) = 6.270447855657268 y[1] (numeric) = 6.270447855656227 absolute error = 1.041833286308247e-12 relative error = 1.661497408623362e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.290039580742217 y[1] (closed_form) = 6.279041554415778 y[1] (numeric) = 6.279041554414734 absolute error = 1.044497821567347e-12 relative error = 1.663466967873142e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300066549874117 y[1] (closed_form) = 6.287535819640183 y[1] (numeric) = 6.28753581963914 absolute error = 1.043609643147647e-12 relative error = 1.65980707400148e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.310009960929917 y[1] (closed_form) = 6.295861256986443 y[1] (numeric) = 6.2958612569854 absolute error = 1.042721464727947e-12 relative error = 1.656201466591805e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.320036930061817 y[1] (closed_form) = 6.304157952670923 y[1] (numeric) = 6.304157952669879 absolute error = 1.043609643147647e-12 relative error = 1.655430671284964e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.330063899193717 y[1] (closed_form) = 6.312355705548543 y[1] (numeric) = 6.312355705547506 absolute error = 1.037392394209746e-12 relative error = 1.643431458239721e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.340007310249518 y[1] (closed_form) = 6.320387615452296 y[1] (numeric) = 6.320387615451252 absolute error = 1.043609643147647e-12 relative error = 1.651179811497946e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.350034279381418 y[1] (closed_form) = 6.328388864916926 y[1] (numeric) = 6.328388864915884 absolute error = 1.041833286308247e-12 relative error = 1.646285189716962e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.360061248513318 y[1] (closed_form) = 6.336291751328059 y[1] (numeric) = 6.336291751327019 absolute error = 1.039168751049147e-12 relative error = 1.640026677798322e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.370004659569119 y[1] (closed_form) = 6.344031853707369 y[1] (numeric) = 6.344031853706332 absolute error = 1.036504215790046e-12 relative error = 1.633825680090693e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.380031628701019 y[1] (closed_form) = 6.35173947964101 y[1] (numeric) = 6.351739479639979 absolute error = 1.031175145271845e-12 relative error = 1.6234531478771e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.390058597832919 y[1] (closed_form) = 6.359349410778982 y[1] (numeric) = 6.359349410777951 absolute error = 1.031175145271845e-12 relative error = 1.621510438668494e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400002008888719 y[1] (closed_form) = 6.366799688112593 y[1] (numeric) = 6.366799688111561 absolute error = 1.032063323691546e-12 relative error = 1.621008001270251e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.410028978020619 y[1] (closed_form) = 6.374215777398773 y[1] (numeric) = 6.374215777397747 absolute error = 1.025846074753645e-12 relative error = 1.609368290278177e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.420055947152519 y[1] (closed_form) = 6.3815349280503 y[1] (numeric) = 6.381534928049274 absolute error = 1.025846074753645e-12 relative error = 1.607522463356733e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.42999935820832 y[1] (closed_form) = 6.388697623593847 y[1] (numeric) = 6.388697623592821 absolute error = 1.025846074753645e-12 relative error = 1.60572018773456e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.44002632734022 y[1] (closed_form) = 6.395824525433044 y[1] (numeric) = 6.395824525432024 absolute error = 1.019628825815744e-12 relative error = 1.594210131565027e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45005329647212 y[1] (closed_form) = 6.402855332021416 y[1] (numeric) = 6.402855332020407 absolute error = 1.008970684779342e-12 relative error = 1.575813652595528e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.459996707527921 y[1] (closed_form) = 6.409732947789006 y[1] (numeric) = 6.409732947787993 absolute error = 1.013411576877843e-12 relative error = 1.581051168796997e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.47002367665982 y[1] (closed_form) = 6.416573271584893 y[1] (numeric) = 6.416573271583879 absolute error = 1.013411576877843e-12 relative error = 1.579365705002743e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.48005064579172 y[1] (closed_form) = 6.423318429977746 y[1] (numeric) = 6.423318429976734 absolute error = 1.011635220038443e-12 relative error = 1.574941723762475e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.489994056847521 y[1] (closed_form) = 6.42991372449071 y[1] (numeric) = 6.429913724489696 absolute error = 1.014299755297543e-12 relative error = 1.577470241061255e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500021025979421 y[1] (closed_form) = 6.436470337502291 y[1] (numeric) = 6.436470337501273 absolute error = 1.017852468976344e-12 relative error = 1.581382987265233e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.510047995111321 y[1] (closed_form) = 6.442932800585933 y[1] (numeric) = 6.442932800584915 absolute error = 1.017852468976344e-12 relative error = 1.579796810675688e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.520074964243221 y[1] (closed_form) = 6.449301472114461 y[1] (numeric) = 6.449301472113446 absolute error = 1.015187933717243e-12 relative error = 1.574105254819798e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.530018375299022 y[1] (closed_form) = 6.455524811152506 y[1] (numeric) = 6.455524811151493 absolute error = 1.012523398458143e-12 relative error = 1.568460238444002e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.540045344430922 y[1] (closed_form) = 6.461707786174991 y[1] (numeric) = 6.461707786173979 absolute error = 1.011635220038443e-12 relative error = 1.565584909616101e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.550072313562822 y[1] (closed_form) = 6.467798097930594 y[1] (numeric) = 6.467798097929588 absolute error = 1.005417971100542e-12 relative error = 1.554498077826874e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.560015724618622 y[1] (closed_form) = 6.47374653864499 y[1] (numeric) = 6.473746538643987 absolute error = 1.002753435841441e-12 relative error = 1.548953808826946e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.570042693750522 y[1] (closed_form) = 6.479653484330322 y[1] (numeric) = 6.479653484329319 absolute error = 1.003641614261142e-12 relative error = 1.548912479175372e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.580069662882422 y[1] (closed_form) = 6.485468978412953 y[1] (numeric) = 6.485468978411951 absolute error = 1.001865257421741e-12 relative error = 1.54478459577322e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.590013073938223 y[1] (closed_form) = 6.491146115372118 y[1] (numeric) = 6.491146115371111 absolute error = 1.006306149520242e-12 relative error = 1.550274992481129e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.600040043070123 y[1] (closed_form) = 6.49678073880818 y[1] (numeric) = 6.496780738807177 absolute error = 1.003641614261142e-12 relative error = 1.544829130935481e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.610067012202023 y[1] (closed_form) = 6.502325204591452 y[1] (numeric) = 6.502325204590444 absolute error = 1.008082506359642e-12 relative error = 1.550341569578541e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.620010423257824 y[1] (closed_form) = 6.507734876475727 y[1] (numeric) = 6.50773487647472 absolute error = 1.006306149520242e-12 relative error = 1.546323211718189e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.630037392389724 y[1] (closed_form) = 6.513101129778746 y[1] (numeric) = 6.513101129777743 absolute error = 1.002753435841441e-12 relative error = 1.53959445103151e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.640064361521623 y[1] (closed_form) = 6.51837860050035 y[1] (numeric) = 6.518378600499346 absolute error = 1.003641614261142e-12 relative error = 1.53971052584166e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.650007772577424 y[1] (closed_form) = 6.52352488664806 y[1] (numeric) = 6.523524886647055 absolute error = 1.004529792680842e-12 relative error = 1.539857377928993e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.660034741709324 y[1] (closed_form) = 6.528626963406592 y[1] (numeric) = 6.52862696340559 absolute error = 1.001865257421741e-12 relative error = 1.534572679733833e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.670061710841224 y[1] (closed_form) = 6.533641712539298 y[1] (numeric) = 6.533641712538298 absolute error = 1.000088900582341e-12 relative error = 1.53067606793158e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.680005121897025 y[1] (closed_form) = 6.538528929276275 y[1] (numeric) = 6.538528929275278 absolute error = 9.965361869035405e-13 relative error = 1.524098459580943e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.690032091028925 y[1] (closed_form) = 6.54337126077793 y[1] (numeric) = 6.543371260776935 absolute error = 9.947598300641403e-13 relative error = 1.520255829020276e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.700059060160825 y[1] (closed_form) = 6.548127798184428 y[1] (numeric) = 6.548127798183438 absolute error = 9.903189379656396e-13 relative error = 1.512369594008567e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.710002471216626 y[1] (closed_form) = 6.552760494940292 y[1] (numeric) = 6.552760494939307 absolute error = 9.849898674474389e-13 relative error = 1.503167814859093e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.720029440348525 y[1] (closed_form) = 6.557347746184574 y[1] (numeric) = 6.557347746183593 absolute error = 9.805489753489383e-13 relative error = 1.495343869660528e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.730056409480425 y[1] (closed_form) = 6.561850814059625 y[1] (numeric) = 6.56185081405865 absolute error = 9.743317264110374e-13 relative error = 1.484842850013298e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.739999820536226 y[1] (closed_form) = 6.566233769274326 y[1] (numeric) = 6.566233769273349 absolute error = 9.769962616701378e-13 relative error = 1.487909654148837e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.750026789668126 y[1] (closed_form) = 6.570570834775193 y[1] (numeric) = 6.570570834774212 absolute error = 9.814371537686384e-13 relative error = 1.493686284568025e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.760053758800026 y[1] (closed_form) = 6.574825403378721 y[1] (numeric) = 6.574825403377737 absolute error = 9.841016890277388e-13 relative error = 1.496772353106169e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.769997169855827 y[1] (closed_form) = 6.578963620203028 y[1] (numeric) = 6.578963620202049 absolute error = 9.796607969292381e-13 relative error = 1.489080732899699e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.780024138987727 y[1] (closed_form) = 6.583055619584943 y[1] (numeric) = 6.583055619583964 absolute error = 9.796607969292381e-13 relative error = 1.488155126647715e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.790051108119627 y[1] (closed_form) = 6.587066882769927 y[1] (numeric) = 6.587066882768951 absolute error = 9.761080832504376e-13 relative error = 1.481855430682942e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799994519175427 y[1] (closed_form) = 6.590965584563728 y[1] (numeric) = 6.590965584562749 absolute error = 9.78772618509538e-13 relative error = 1.485021588948754e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.810021488307327 y[1] (closed_form) = 6.594817857955148 y[1] (numeric) = 6.594817857954171 absolute error = 9.769962616701378e-13 relative error = 1.481460569061227e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.820048457439227 y[1] (closed_form) = 6.598591228494335 y[1] (numeric) = 6.598591228493362 absolute error = 9.734435479913373e-13 relative error = 1.475229354695847e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.829991868495028 y[1] (closed_form) = 6.602255854126788 y[1] (numeric) = 6.602255854125813 absolute error = 9.752199048307375e-13 relative error = 1.477101049062146e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.840018837626928 y[1] (closed_form) = 6.605873957355262 y[1] (numeric) = 6.605873957354285 absolute error = 9.769962616701378e-13 relative error = 1.478981082559573e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.850045806758828 y[1] (closed_form) = 6.609415062070898 y[1] (numeric) = 6.609415062069923 absolute error = 9.752199048307375e-13 relative error = 1.475501077889904e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.860072775890728 y[1] (closed_form) = 6.612879820357755 y[1] (numeric) = 6.612879820356777 absolute error = 9.778844400898379e-13 relative error = 1.47875731399113e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.870016186946529 y[1] (closed_form) = 6.616240960619871 y[1] (numeric) = 6.616240960618894 absolute error = 9.769962616701378e-13 relative error = 1.476663663680417e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.880043156078429 y[1] (closed_form) = 6.619555635320831 y[1] (numeric) = 6.619555635319852 absolute error = 9.78772618509538e-13 relative error = 1.478607738088902e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.890070125210328 y[1] (closed_form) = 6.622795959978733 y[1] (numeric) = 6.622795959977756 absolute error = 9.769962616701378e-13 relative error = 1.475202116408362e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.900013536266129 y[1] (closed_form) = 6.625936530613998 y[1] (numeric) = 6.625936530613021 absolute error = 9.769962616701378e-13 relative error = 1.474502898052365e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.910040505398029 y[1] (closed_form) = 6.62903081484488 y[1] (numeric) = 6.629030814843903 absolute error = 9.769962616701378e-13 relative error = 1.473814632875559e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.920067474529929 y[1] (closed_form) = 6.632052812316626 y[1] (numeric) = 6.632052812315647 absolute error = 9.796607969292381e-13 relative error = 1.477160729344426e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.93001088558573 y[1] (closed_form) = 6.634978934340519 y[1] (numeric) = 6.634978934339543 absolute error = 9.761080832504376e-13 relative error = 1.471154758605812e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.94003785471763 y[1] (closed_form) = 6.637859065947426 y[1] (numeric) = 6.637859065946453 absolute error = 9.725553695716371e-13 relative error = 1.465164234294908e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.95006482384953 y[1] (closed_form) = 6.64066903912083 y[1] (numeric) = 6.640669039119855 absolute error = 9.752199048307375e-13 relative error = 1.468556705786152e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.96000823490533 y[1] (closed_form) = 6.643387026504008 y[1] (numeric) = 6.643387026503035 absolute error = 9.734435479913373e-13 relative error = 1.465282007668306e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.97003520403723 y[1] (closed_form) = 6.646059436021898 y[1] (numeric) = 6.646059436020925 absolute error = 9.725553695716371e-13 relative error = 1.463356412824643e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.98006217316913 y[1] (closed_form) = 6.648663878558613 y[1] (numeric) = 6.648663878557642 absolute error = 9.71667191151937e-13 relative error = 1.461447305654122e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.990005584224931 y[1] (closed_form) = 6.651180232545768 y[1] (numeric) = 6.651180232544799 absolute error = 9.690026558928366e-13 relative error = 1.45688828450518e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.000032553356831 y[1] (closed_form) = 6.653651537412427 y[1] (numeric) = 6.653651537411456 absolute error = 9.71667191151937e-13 relative error = 1.460351786817218e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.010059522488731 y[1] (closed_form) = 6.65605712790513 y[1] (numeric) = 6.656057127904155 absolute error = 9.743317264110374e-13 relative error = 1.463827169280457e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.020002933544532 y[1] (closed_form) = 6.658378531165334 y[1] (numeric) = 6.658378531164355 absolute error = 9.78772618509538e-13 relative error = 1.469986444790239e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.030029902676432 y[1] (closed_form) = 6.660655529767183 y[1] (numeric) = 6.660655529766207 absolute error = 9.761080832504376e-13 relative error = 1.465483508174392e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.040056871808332 y[1] (closed_form) = 6.662869125730346 y[1] (numeric) = 6.662869125729371 absolute error = 9.752199048307375e-13 relative error = 1.463663605615005e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.050000282864133 y[1] (closed_form) = 6.66500243634417 y[1] (numeric) = 6.665002436343192 absolute error = 9.778844400898379e-13 relative error = 1.467192922177263e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.060027251996033 y[1] (closed_form) = 6.667092101899257 y[1] (numeric) = 6.667092101898281 absolute error = 9.761080832504376e-13 relative error = 1.464068694914794e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.070054221127933 y[1] (closed_form) = 6.669120733598941 y[1] (numeric) = 6.669120733597965 absolute error = 9.761080832504376e-13 relative error = 1.463623350425819e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079997632183733 y[1] (closed_form) = 6.671072978887734 y[1] (numeric) = 6.671072978886759 absolute error = 9.752199048307375e-13 relative error = 1.461863643100687e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.090024601315633 y[1] (closed_form) = 6.672982453171416 y[1] (numeric) = 6.672982453170444 absolute error = 9.725553695716371e-13 relative error = 1.457452310712159e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100051570447533 y[1] (closed_form) = 6.674833317299622 y[1] (numeric) = 6.674833317298654 absolute error = 9.672262990534364e-13 relative error = 1.449064348238644e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.109994981503334 y[1] (closed_form) = 6.676611687502512 y[1] (numeric) = 6.676611687501541 absolute error = 9.707790127322369e-13 relative error = 1.453999510783847e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.120021950635234 y[1] (closed_form) = 6.678348274421475 y[1] (numeric) = 6.678348274420506 absolute error = 9.690026558928366e-13 relative error = 1.450961549286344e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.130048919767134 y[1] (closed_form) = 6.680028727620755 y[1] (numeric) = 6.680028727619784 absolute error = 9.707790127322369e-13 relative error = 1.453255745320727e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.139992330822935 y[1] (closed_form) = 6.681640569425063 y[1] (numeric) = 6.681640569424093 absolute error = 9.698908343125368e-13 relative error = 1.451575888039714e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.150019299954835 y[1] (closed_form) = 6.683211728445462 y[1] (numeric) = 6.683211728444493 absolute error = 9.690026558928366e-13 relative error = 1.449905667014129e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.160046269086735 y[1] (closed_form) = 6.684729280689602 y[1] (numeric) = 6.684729280688638 absolute error = 9.64561763794336e-13 relative error = 1.442933173944227e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.170073238218635 y[1] (closed_form) = 6.686194081688026 y[1] (numeric) = 6.686194081687058 absolute error = 9.672262990534364e-13 relative error = 1.446602188384646e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.180016649274435 y[1] (closed_form) = 6.687595430056115 y[1] (numeric) = 6.687595430055144 absolute error = 9.707790127322369e-13 relative error = 1.451611454199602e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.190043618406335 y[1] (closed_form) = 6.688957737892865 y[1] (numeric) = 6.688957737891896 absolute error = 9.690026558928366e-13 relative error = 1.448660155831824e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200070587538235 y[1] (closed_form) = 6.690269885269439 y[1] (numeric) = 6.690269885268473 absolute error = 9.663381206337363e-13 relative error = 1.444393331218833e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.210013998594036 y[1] (closed_form) = 6.691522425734679 y[1] (numeric) = 6.691522425733711 absolute error = 9.681144774731365e-13 relative error = 1.446777602881372e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.220040967725936 y[1] (closed_form) = 6.69273728539659 y[1] (numeric) = 6.692737285395625 absolute error = 9.654499422140361e-13 relative error = 1.442533751206143e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.230067936857836 y[1] (closed_form) = 6.693904620516918 y[1] (numeric) = 6.693904620515955 absolute error = 9.627854069549358e-13 relative error = 1.438301651332145e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.240011347913637 y[1] (closed_form) = 6.69501617289429 y[1] (numeric) = 6.695016172893325 absolute error = 9.64561763794336e-13 relative error = 1.440716107153705e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.250038317045536 y[1] (closed_form) = 6.696091513283871 y[1] (numeric) = 6.696091513282906 absolute error = 9.654499422140361e-13 relative error = 1.441811152518977e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.260065286177436 y[1] (closed_form) = 6.697122007811787 y[1] (numeric) = 6.69712200781082 absolute error = 9.672262990534364e-13 relative error = 1.444241717450011e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.270008697233237 y[1] (closed_form) = 6.698100518773614 y[1] (numeric) = 6.698100518772648 absolute error = 9.663381206337363e-13 relative error = 1.442704715949332e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.280035666365137 y[1] (closed_form) = 6.699044394329121 y[1] (numeric) = 6.699044394328153 absolute error = 9.681144774731365e-13 relative error = 1.445153100183461e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.290062635497037 y[1] (closed_form) = 6.699946143053994 y[1] (numeric) = 6.699946143053023 absolute error = 9.707790127322369e-13 relative error = 1.448935546651623e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.300006046552838 y[1] (closed_form) = 6.700799678979742 y[1] (numeric) = 6.700799678978774 absolute error = 9.681144774731365e-13 relative error = 1.444774540134501e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.310033015684738 y[1] (closed_form) = 6.701620262427999 y[1] (numeric) = 6.701620262427033 absolute error = 9.654499422140361e-13 relative error = 1.440621677158791e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.320059984816638 y[1] (closed_form) = 6.702401475981261 y[1] (numeric) = 6.7024014759803 absolute error = 9.610090501155355e-13 relative error = 1.433827939969591e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.330003395872438 y[1] (closed_form) = 6.703138215699617 y[1] (numeric) = 6.703138215698651 absolute error = 9.663381206337363e-13 relative error = 1.441620461249698e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.340030365004338 y[1] (closed_form) = 6.70384379070242 y[1] (numeric) = 6.70384379070145 absolute error = 9.698908343125368e-13 relative error = 1.446768249071795e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.350057334136238 y[1] (closed_form) = 6.704512788169856 y[1] (numeric) = 6.70451278816888 absolute error = 9.761080832504376e-13 relative error = 1.455897116003395e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.360000745192039 y[1] (closed_form) = 6.70514101559964 y[1] (numeric) = 6.705141015598661 absolute error = 9.78772618509538e-13 relative error = 1.459734577143724e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.370027714323939 y[1] (closed_form) = 6.705739969300337 y[1] (numeric) = 6.70573996929936 absolute error = 9.769962616701378e-13 relative error = 1.456955184875854e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.380054683455839 y[1] (closed_form) = 6.706305170736789 y[1] (numeric) = 6.706305170735814 absolute error = 9.743317264110374e-13 relative error = 1.452859214732085e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.38999809451164 y[1] (closed_form) = 6.706833267433301 y[1] (numeric) = 6.706833267432324 absolute error = 9.769962616701378e-13 relative error = 1.456717682865603e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.40002506364354 y[1] (closed_form) = 6.707334082910259 y[1] (numeric) = 6.707334082909287 absolute error = 9.725553695716371e-13 relative error = 1.449987964740908e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.41005203277544 y[1] (closed_form) = 6.707804001763488 y[1] (numeric) = 6.707804001762518 absolute error = 9.698908343125368e-13 relative error = 1.445914093580479e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.41999544383124 y[1] (closed_form) = 6.708240439377009 y[1] (numeric) = 6.708240439376037 absolute error = 9.725553695716371e-13 relative error = 1.449792055548262e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.43002241296314 y[1] (closed_form) = 6.708651688010768 y[1] (numeric) = 6.708651688009795 absolute error = 9.734435479913373e-13 relative error = 1.451027111350865e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.44004938209504 y[1] (closed_form) = 6.709034923461278 y[1] (numeric) = 6.709034923460304 absolute error = 9.743317264110374e-13 relative error = 1.452268079577036e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.449992793150841 y[1] (closed_form) = 6.709388256114501 y[1] (numeric) = 6.709388256113524 absolute error = 9.769962616701378e-13 relative error = 1.456162953127309e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.460019762282741 y[1] (closed_form) = 6.709718589875473 y[1] (numeric) = 6.709718589874495 absolute error = 9.78772618509538e-13 relative error = 1.458738701778703e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.470046731414641 y[1] (closed_form) = 6.710023819099194 y[1] (numeric) = 6.710023819098214 absolute error = 9.805489753489383e-13 relative error = 1.461319664108994e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.480073700546541 y[1] (closed_form) = 6.710304921202276 y[1] (numeric) = 6.710304921201295 absolute error = 9.814371537686384e-13 relative error = 1.462582051476724e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.490017111602342 y[1] (closed_form) = 6.710560819354106 y[1] (numeric) = 6.710560819353126 absolute error = 9.796607969292381e-13 relative error = 1.45987917150497e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.500044080734241 y[1] (closed_form) = 6.710796789714905 y[1] (numeric) = 6.710796789713926 absolute error = 9.78772618509538e-13 relative error = 1.458504331422497e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.510071049866141 y[1] (closed_form) = 6.711011571152696 y[1] (numeric) = 6.711011571151712 absolute error = 9.841016890277388e-13 relative error = 1.466398438735977e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.520014460921942 y[1] (closed_form) = 6.711204609450659 y[1] (numeric) = 6.711204609449681 absolute error = 9.778844400898379e-13 relative error = 1.45709227627003e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 8.355807609918476e-05 NO POLE (given) for Equation 1 NO 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! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sin ( x ) + 1.0 ; Iterations = 100000 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 95.26 %