##############ECHO OF PROBLEM################# ##############temp/mtest8postode.ode################# diff ( y2 , x , 4 ) = y1 - 1.0; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=5.1; array_y1_init[0 + 1] = exact_soln_y1(x_start); array_y2_init[0 + 1] = exact_soln_y2(x_start); array_y2_init[1 + 1] = exact_soln_y2p(x_start); array_y2_init[2 + 1] = exact_soln_y2pp(x_start); array_y2_init[3 + 1] = exact_soln_y2ppp(x_start); glob_look_poles=true; glob_max_iter=20; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.001; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y1 (double x) { return(1.0 + sin(x)); } double exact_soln_y2 (double x) { return(1.0 + sin(x)); } double exact_soln_y2p (double x) { return( cos(x)); } double exact_soln_y2pp (double x) { return( -sin(x)); } double exact_soln_y2ppp (double x) { return( -cos(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 5 estimated_steps = 5000 step_error = 2e-14 est_needed_step_err = 2e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 2.475922558289147e-106 max_value3 = 2.475922558289147e-106 value3 = 2.475922558289147e-106 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y2[1] (analytic) = 1.099833416646828 y2[1] (numeric) = 1.099833416646828 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.099833416646828 y1[1] (numeric) = 1.099833416646828 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.101 y2[1] (analytic) = 1.100828370729568 y2[1] (numeric) = 1.100828370729568 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.100828370729568 y1[1] (numeric) = 1.100828370729568 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.102 y2[1] (analytic) = 1.101823223983946 y2[1] (numeric) = 1.101823223983946 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.101823223983946 y1[1] (numeric) = 1.101823223983946 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.103 y2[1] (analytic) = 1.102817975415108 y2[1] (numeric) = 1.102817975415108 absolute error = 2.220446049250313e-16 relative error = 2.013429322653653e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.102817975415108 y1[1] (numeric) = 1.102817975415108 absolute error = 2.220446049250313e-16 relative error = 2.013429322653653e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.104 y2[1] (analytic) = 1.103812624028303 y2[1] (numeric) = 1.103812624028303 absolute error = 2.220446049250313e-16 relative error = 2.011615015913588e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.103812624028303 y1[1] (numeric) = 1.103812624028303 absolute error = 2.220446049250313e-16 relative error = 2.011615015913588e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.105 y2[1] (analytic) = 1.104807168828883 y2[1] (numeric) = 1.104807168828883 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.104807168828883 y1[1] (numeric) = 1.104807168828883 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.106 y2[1] (analytic) = 1.105801608822302 y2[1] (numeric) = 1.105801608822302 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.105801608822302 y1[1] (numeric) = 1.105801608822302 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.107 y2[1] (analytic) = 1.106795943014122 y2[1] (numeric) = 1.106795943014122 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.106795943014122 y1[1] (numeric) = 1.106795943014122 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.108 y2[1] (analytic) = 1.107790170410007 y2[1] (numeric) = 1.107790170410007 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.107790170410007 y1[1] (numeric) = 1.107790170410007 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.109 y2[1] (analytic) = 1.108784290015732 y2[1] (numeric) = 1.108784290015732 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.108784290015732 y1[1] (numeric) = 1.108784290015732 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.11 y2[1] (analytic) = 1.109778300837175 y2[1] (numeric) = 1.109778300837175 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.109778300837175 y1[1] (numeric) = 1.109778300837175 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.111 y2[1] (analytic) = 1.110772201880326 y2[1] (numeric) = 1.110772201880326 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.110772201880326 y1[1] (numeric) = 1.110772201880326 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.112 y2[1] (analytic) = 1.111765992151285 y2[1] (numeric) = 1.111765992151285 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.111765992151285 y1[1] (numeric) = 1.111765992151285 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.113 y2[1] (analytic) = 1.112759670656261 y2[1] (numeric) = 1.112759670656261 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.112759670656261 y1[1] (numeric) = 1.112759670656261 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.114 y2[1] (analytic) = 1.113753236401576 y2[1] (numeric) = 1.113753236401576 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.113753236401576 y1[1] (numeric) = 1.113753236401576 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.115 y2[1] (analytic) = 1.114746688393664 y2[1] (numeric) = 1.114746688393664 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.114746688393664 y1[1] (numeric) = 1.114746688393664 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.116 y2[1] (analytic) = 1.115740025639073 y2[1] (numeric) = 1.115740025639073 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.115740025639073 y1[1] (numeric) = 1.115740025639073 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.117 y2[1] (analytic) = 1.116733247144466 y2[1] (numeric) = 1.116733247144466 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.116733247144466 y1[1] (numeric) = 1.116733247144466 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.118 y2[1] (analytic) = 1.117726351916621 y2[1] (numeric) = 1.117726351916621 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.117726351916621 y1[1] (numeric) = 1.117726351916621 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.119 y2[1] (analytic) = 1.118719338962435 y2[1] (numeric) = 1.118719338962435 absolute error = 2.220446049250313e-16 relative error = 1.984810641880637e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.118719338962435 y1[1] (numeric) = 1.118719338962435 absolute error = 2.220446049250313e-16 relative error = 1.984810641880637e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.12 y2[1] (analytic) = 1.119712207288919 y2[1] (numeric) = 1.119712207288919 absolute error = 2.220446049250313e-16 relative error = 1.983050675696859e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.119712207288919 y1[1] (numeric) = 1.119712207288919 absolute error = 2.220446049250313e-16 relative error = 1.983050675696859e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.121 y2[1] (analytic) = 1.120704955903207 y2[1] (numeric) = 1.120704955903206 absolute error = 2.220446049250313e-16 relative error = 1.981294039572436e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.120704955903207 y1[1] (numeric) = 1.120704955903206 absolute error = 2.220446049250313e-16 relative error = 1.981294039572436e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.122 y2[1] (analytic) = 1.121697583812548 y2[1] (numeric) = 1.121697583812548 absolute error = 2.220446049250313e-16 relative error = 1.979540725855198e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.121697583812548 y1[1] (numeric) = 1.121697583812548 absolute error = 2.220446049250313e-16 relative error = 1.979540725855198e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.123 y2[1] (analytic) = 1.122690090024315 y2[1] (numeric) = 1.122690090024315 absolute error = 2.220446049250313e-16 relative error = 1.977790726915762e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.122690090024315 y1[1] (numeric) = 1.122690090024315 absolute error = 2.220446049250313e-16 relative error = 1.977790726915762e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.124 y2[1] (analytic) = 1.123682473546003 y2[1] (numeric) = 1.123682473546003 absolute error = 2.220446049250313e-16 relative error = 1.976044035147451e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.123682473546003 y1[1] (numeric) = 1.123682473546003 absolute error = 2.220446049250313e-16 relative error = 1.976044035147451e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.125 y2[1] (analytic) = 1.124674733385228 y2[1] (numeric) = 1.124674733385227 absolute error = 2.220446049250313e-16 relative error = 1.974300642966217e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.124674733385228 y1[1] (numeric) = 1.124674733385227 absolute error = 2.220446049250313e-16 relative error = 1.974300642966217e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.126 y2[1] (analytic) = 1.125666868549729 y2[1] (numeric) = 1.125666868549729 absolute error = 4.440892098500626e-16 relative error = 3.945121085621112e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.125666868549729 y1[1] (numeric) = 1.125666868549729 absolute error = 4.440892098500626e-16 relative error = 3.945121085621112e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.127 y2[1] (analytic) = 1.126658878047373 y2[1] (numeric) = 1.126658878047372 absolute error = 4.440892098500626e-16 relative error = 3.941647454282875e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.126658878047373 y1[1] (numeric) = 1.126658878047372 absolute error = 4.440892098500626e-16 relative error = 3.941647454282875e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.128 y2[1] (analytic) = 1.127650760886149 y2[1] (numeric) = 1.127650760886148 absolute error = 4.440892098500626e-16 relative error = 3.938180376884429e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.127650760886149 y1[1] (numeric) = 1.127650760886148 absolute error = 4.440892098500626e-16 relative error = 3.938180376884429e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.129 y2[1] (analytic) = 1.128642516074174 y2[1] (numeric) = 1.128642516074174 absolute error = 4.440892098500626e-16 relative error = 3.934719838437107e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.128642516074174 y1[1] (numeric) = 1.128642516074174 absolute error = 4.440892098500626e-16 relative error = 3.934719838437107e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.13 y2[1] (analytic) = 1.129634142619695 y2[1] (numeric) = 1.129634142619694 absolute error = 6.661338147750939e-16 relative error = 5.896898735995057e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.129634142619695 y1[1] (numeric) = 1.129634142619694 absolute error = 6.661338147750939e-16 relative error = 5.896898735995057e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.131 y2[1] (analytic) = 1.130625639531083 y2[1] (numeric) = 1.130625639531083 absolute error = 4.440892098500626e-16 relative error = 3.927818318663325e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.130625639531083 y1[1] (numeric) = 1.130625639531083 absolute error = 4.440892098500626e-16 relative error = 3.927818318663325e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.132 y2[1] (analytic) = 1.131617005816843 y2[1] (numeric) = 1.131617005816843 absolute error = 4.440892098500626e-16 relative error = 3.924377307581221e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.131617005816843 y1[1] (numeric) = 1.131617005816843 absolute error = 4.440892098500626e-16 relative error = 3.924377307581221e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.133 y2[1] (analytic) = 1.132608240485608 y2[1] (numeric) = 1.132608240485608 absolute error = 4.440892098500626e-16 relative error = 3.920942775938646e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.132608240485608 y1[1] (numeric) = 1.132608240485608 absolute error = 4.440892098500626e-16 relative error = 3.920942775938646e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.134 y2[1] (analytic) = 1.133599342546144 y2[1] (numeric) = 1.133599342546143 absolute error = 6.661338147750939e-16 relative error = 5.876272063451539e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.133599342546144 y1[1] (numeric) = 1.133599342546143 absolute error = 6.661338147750939e-16 relative error = 5.876272063451539e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.135 y2[1] (analytic) = 1.134590311007348 y2[1] (numeric) = 1.134590311007348 absolute error = 6.661338147750939e-16 relative error = 5.871139637916224e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.134590311007348 y1[1] (numeric) = 1.134590311007348 absolute error = 6.661338147750939e-16 relative error = 5.871139637916224e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.136 y2[1] (analytic) = 1.135581144878253 y2[1] (numeric) = 1.135581144878252 absolute error = 6.661338147750939e-16 relative error = 5.866016865281002e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.135581144878253 y1[1] (numeric) = 1.135581144878252 absolute error = 6.661338147750939e-16 relative error = 5.866016865281002e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.137 y2[1] (analytic) = 1.136571843168024 y2[1] (numeric) = 1.136571843168023 absolute error = 6.661338147750939e-16 relative error = 5.860903723589929e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.136571843168024 y1[1] (numeric) = 1.136571843168023 absolute error = 6.661338147750939e-16 relative error = 5.860903723589929e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.138 y2[1] (analytic) = 1.137562404885963 y2[1] (numeric) = 1.137562404885962 absolute error = 6.661338147750939e-16 relative error = 5.855800190951914e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.137562404885963 y1[1] (numeric) = 1.137562404885962 absolute error = 6.661338147750939e-16 relative error = 5.855800190951914e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.139 y2[1] (analytic) = 1.138552829041508 y2[1] (numeric) = 1.138552829041508 absolute error = 6.661338147750939e-16 relative error = 5.850706245540484e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.138552829041508 y1[1] (numeric) = 1.138552829041508 absolute error = 6.661338147750939e-16 relative error = 5.850706245540484e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.14 y2[1] (analytic) = 1.139543114644237 y2[1] (numeric) = 1.139543114644236 absolute error = 6.661338147750939e-16 relative error = 5.845621865593561e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.139543114644237 y1[1] (numeric) = 1.139543114644236 absolute error = 6.661338147750939e-16 relative error = 5.845621865593561e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.141 y2[1] (analytic) = 1.140533260703862 y2[1] (numeric) = 1.140533260703861 absolute error = 6.661338147750939e-16 relative error = 5.840547029413244e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.140533260703862 y1[1] (numeric) = 1.140533260703861 absolute error = 6.661338147750939e-16 relative error = 5.840547029413244e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.142 y2[1] (analytic) = 1.141523266230238 y2[1] (numeric) = 1.141523266230237 absolute error = 6.661338147750939e-16 relative error = 5.835481715365574e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.141523266230238 y1[1] (numeric) = 1.141523266230237 absolute error = 6.661338147750939e-16 relative error = 5.835481715365574e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.143 y2[1] (analytic) = 1.14251313023336 y2[1] (numeric) = 1.142513130233359 absolute error = 8.881784197001252e-16 relative error = 7.773901202507089e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.14251313023336 y1[1] (numeric) = 1.142513130233359 absolute error = 8.881784197001252e-16 relative error = 7.773901202507089e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.144 y2[1] (analytic) = 1.143502851723363 y2[1] (numeric) = 1.143502851723362 absolute error = 8.881784197001252e-16 relative error = 7.767172756600996e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.143502851723363 y1[1] (numeric) = 1.143502851723362 absolute error = 8.881784197001252e-16 relative error = 7.767172756600996e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.145 y2[1] (analytic) = 1.144492429710527 y2[1] (numeric) = 1.144492429710526 absolute error = 8.881784197001252e-16 relative error = 7.760456920844551e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.144492429710527 y1[1] (numeric) = 1.144492429710526 absolute error = 8.881784197001252e-16 relative error = 7.760456920844551e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.146 y2[1] (analytic) = 1.145481863205272 y2[1] (numeric) = 1.145481863205272 absolute error = 6.661338147750939e-16 relative error = 5.815315250047932e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.145481863205272 y1[1] (numeric) = 1.145481863205272 absolute error = 6.661338147750939e-16 relative error = 5.815315250047932e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.147 y2[1] (analytic) = 1.146471151218167 y2[1] (numeric) = 1.146471151218166 absolute error = 6.661338147750939e-16 relative error = 5.810297224376754e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.146471151218167 y1[1] (numeric) = 1.146471151218166 absolute error = 6.661338147750939e-16 relative error = 5.810297224376754e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.148 y2[1] (analytic) = 1.147460292759923 y2[1] (numeric) = 1.147460292759922 absolute error = 8.881784197001252e-16 relative error = 7.740384789819947e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.147460292759923 y1[1] (numeric) = 1.147460292759922 absolute error = 8.881784197001252e-16 relative error = 7.740384789819947e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.149 y2[1] (analytic) = 1.148449286841398 y2[1] (numeric) = 1.148449286841398 absolute error = 8.881784197001252e-16 relative error = 7.733719110426712e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.148449286841398 y1[1] (numeric) = 1.148449286841398 absolute error = 8.881784197001252e-16 relative error = 7.733719110426712e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.15 y2[1] (analytic) = 1.149438132473599 y2[1] (numeric) = 1.149438132473598 absolute error = 6.661338147750939e-16 relative error = 5.79529942461165e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.149438132473599 y1[1] (numeric) = 1.149438132473598 absolute error = 6.661338147750939e-16 relative error = 5.79529942461165e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1510000000000001 y2[1] (analytic) = 1.15042682866768 y2[1] (numeric) = 1.150426828667679 absolute error = 8.881784197001252e-16 relative error = 7.720425128895271e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.15042682866768 y1[1] (numeric) = 1.150426828667679 absolute error = 8.881784197001252e-16 relative error = 7.720425128895271e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1520000000000001 y2[1] (analytic) = 1.151415374434945 y2[1] (numeric) = 1.151415374434944 absolute error = 8.881784197001252e-16 relative error = 7.713796770657133e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.151415374434945 y1[1] (numeric) = 1.151415374434944 absolute error = 8.881784197001252e-16 relative error = 7.713796770657133e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1530000000000001 y2[1] (analytic) = 1.152403768786848 y2[1] (numeric) = 1.152403768786847 absolute error = 8.881784197001252e-16 relative error = 7.707180796841055e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.152403768786848 y1[1] (numeric) = 1.152403768786847 absolute error = 8.881784197001252e-16 relative error = 7.707180796841055e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1540000000000001 y2[1] (analytic) = 1.153392010734995 y2[1] (numeric) = 1.153392010734994 absolute error = 8.881784197001252e-16 relative error = 7.700577179602076e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.153392010734995 y1[1] (numeric) = 1.153392010734994 absolute error = 8.881784197001252e-16 relative error = 7.700577179602076e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1550000000000001 y2[1] (analytic) = 1.154380099291143 y2[1] (numeric) = 1.154380099291143 absolute error = 8.881784197001252e-16 relative error = 7.693985891176731e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.154380099291143 y1[1] (numeric) = 1.154380099291143 absolute error = 8.881784197001252e-16 relative error = 7.693985891176731e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1560000000000001 y2[1] (analytic) = 1.155368033467206 y2[1] (numeric) = 1.155368033467205 absolute error = 8.881784197001252e-16 relative error = 7.687406903882766e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.155368033467206 y1[1] (numeric) = 1.155368033467205 absolute error = 8.881784197001252e-16 relative error = 7.687406903882766e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1570000000000001 y2[1] (analytic) = 1.156355812275248 y2[1] (numeric) = 1.156355812275247 absolute error = 8.881784197001252e-16 relative error = 7.680840190118851e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.156355812275248 y1[1] (numeric) = 1.156355812275247 absolute error = 8.881784197001252e-16 relative error = 7.680840190118851e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1580000000000001 y2[1] (analytic) = 1.15734343472749 y2[1] (numeric) = 1.15734343472749 absolute error = 8.881784197001252e-16 relative error = 7.674285722364311e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.15734343472749 y1[1] (numeric) = 1.15734343472749 absolute error = 8.881784197001252e-16 relative error = 7.674285722364311e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1590000000000001 y2[1] (analytic) = 1.158330899836312 y2[1] (numeric) = 1.158330899836311 absolute error = 8.881784197001252e-16 relative error = 7.667743473178841e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.158330899836312 y1[1] (numeric) = 1.158330899836311 absolute error = 8.881784197001252e-16 relative error = 7.667743473178841e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y2[1] (analytic) = 1.159318206614246 y2[1] (numeric) = 1.159318206614245 absolute error = 8.881784197001252e-16 relative error = 7.66121341520223e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.159318206614246 y1[1] (numeric) = 1.159318206614245 absolute error = 8.881784197001252e-16 relative error = 7.66121341520223e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1610000000000001 y2[1] (analytic) = 1.160305354073987 y2[1] (numeric) = 1.160305354073986 absolute error = 8.881784197001252e-16 relative error = 7.654695521154084e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.160305354073987 y1[1] (numeric) = 1.160305354073986 absolute error = 8.881784197001252e-16 relative error = 7.654695521154084e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1620000000000001 y2[1] (analytic) = 1.161292341228388 y2[1] (numeric) = 1.161292341228387 absolute error = 8.881784197001252e-16 relative error = 7.64818976383355e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.161292341228388 y1[1] (numeric) = 1.161292341228387 absolute error = 8.881784197001252e-16 relative error = 7.64818976383355e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1630000000000001 y2[1] (analytic) = 1.16227916709046 y2[1] (numeric) = 1.162279167090459 absolute error = 6.661338147750939e-16 relative error = 5.731272087089287e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.16227916709046 y1[1] (numeric) = 1.162279167090459 absolute error = 6.661338147750939e-16 relative error = 5.731272087089287e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1640000000000001 y2[1] (analytic) = 1.163265830673379 y2[1] (numeric) = 1.163265830673378 absolute error = 8.881784197001252e-16 relative error = 7.635214550967991e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.163265830673379 y1[1] (numeric) = 1.163265830673378 absolute error = 8.881784197001252e-16 relative error = 7.635214550967991e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1650000000000001 y2[1] (analytic) = 1.164252330990481 y2[1] (numeric) = 1.16425233099048 absolute error = 8.881784197001252e-16 relative error = 7.628745041416515e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.164252330990481 y1[1] (numeric) = 1.16425233099048 absolute error = 8.881784197001252e-16 relative error = 7.628745041416515e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1660000000000001 y2[1] (analytic) = 1.165238667055266 y2[1] (numeric) = 1.165238667055265 absolute error = 8.881784197001252e-16 relative error = 7.622287560579211e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.165238667055266 y1[1] (numeric) = 1.165238667055265 absolute error = 8.881784197001252e-16 relative error = 7.622287560579211e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1670000000000001 y2[1] (analytic) = 1.166224837881397 y2[1] (numeric) = 1.166224837881396 absolute error = 8.881784197001252e-16 relative error = 7.61584208164885e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.166224837881397 y1[1] (numeric) = 1.166224837881396 absolute error = 8.881784197001252e-16 relative error = 7.61584208164885e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1680000000000001 y2[1] (analytic) = 1.167210842482704 y2[1] (numeric) = 1.167210842482703 absolute error = 8.881784197001252e-16 relative error = 7.609408577896124e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.167210842482704 y1[1] (numeric) = 1.167210842482703 absolute error = 8.881784197001252e-16 relative error = 7.609408577896124e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1690000000000001 y2[1] (analytic) = 1.168196679873183 y2[1] (numeric) = 1.168196679873182 absolute error = 8.881784197001252e-16 relative error = 7.602987022669367e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.168196679873183 y1[1] (numeric) = 1.168196679873182 absolute error = 8.881784197001252e-16 relative error = 7.602987022669367e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y2[1] (analytic) = 1.169182349066996 y2[1] (numeric) = 1.169182349066995 absolute error = 1.110223024625157e-15 relative error = 9.49572173674287e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.169182349066996 y1[1] (numeric) = 1.169182349066995 absolute error = 1.110223024625157e-15 relative error = 9.49572173674287e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1710000000000001 y2[1] (analytic) = 1.170167849078474 y2[1] (numeric) = 1.170167849078473 absolute error = 8.881784197001252e-16 relative error = 7.590179651573747e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.170167849078474 y1[1] (numeric) = 1.170167849078473 absolute error = 8.881784197001252e-16 relative error = 7.590179651573747e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1720000000000001 y2[1] (analytic) = 1.171153178922117 y2[1] (numeric) = 1.171153178922116 absolute error = 8.881784197001252e-16 relative error = 7.583793782787402e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.171153178922117 y1[1] (numeric) = 1.171153178922116 absolute error = 8.881784197001252e-16 relative error = 7.583793782787402e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1730000000000001 y2[1] (analytic) = 1.172138337612596 y2[1] (numeric) = 1.172138337612594 absolute error = 1.110223024625157e-15 relative error = 9.471774695864417e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.172138337612596 y1[1] (numeric) = 1.172138337612594 absolute error = 1.110223024625157e-15 relative error = 9.471774695864417e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1740000000000001 y2[1] (analytic) = 1.173123324164751 y2[1] (numeric) = 1.17312332416475 absolute error = 1.110223024625157e-15 relative error = 9.46382193377343e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.173123324164751 y1[1] (numeric) = 1.17312332416475 absolute error = 1.110223024625157e-15 relative error = 9.46382193377343e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1750000000000001 y2[1] (analytic) = 1.174108137593596 y2[1] (numeric) = 1.174108137593595 absolute error = 8.881784197001252e-16 relative error = 7.564707127577698e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.174108137593596 y1[1] (numeric) = 1.174108137593595 absolute error = 8.881784197001252e-16 relative error = 7.564707127577698e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1760000000000001 y2[1] (analytic) = 1.175092776914318 y2[1] (numeric) = 1.175092776914317 absolute error = 8.881784197001252e-16 relative error = 7.558368472252866e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.175092776914318 y1[1] (numeric) = 1.175092776914317 absolute error = 8.881784197001252e-16 relative error = 7.558368472252866e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1770000000000001 y2[1] (analytic) = 1.176077241142278 y2[1] (numeric) = 1.176077241142277 absolute error = 1.110223024625157e-15 relative error = 9.440051943755325e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.176077241142278 y1[1] (numeric) = 1.176077241142277 absolute error = 1.110223024625157e-15 relative error = 9.440051943755325e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1780000000000001 y2[1] (analytic) = 1.177061529293012 y2[1] (numeric) = 1.177061529293011 absolute error = 8.881784197001252e-16 relative error = 7.545726349867192e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.177061529293012 y1[1] (numeric) = 1.177061529293011 absolute error = 8.881784197001252e-16 relative error = 7.545726349867192e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1790000000000001 y2[1] (analytic) = 1.178045640382231 y2[1] (numeric) = 1.17804564038223 absolute error = 8.881784197001252e-16 relative error = 7.539422830951993e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.178045640382231 y1[1] (numeric) = 1.17804564038223 absolute error = 8.881784197001252e-16 relative error = 7.539422830951993e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y2[1] (analytic) = 1.179029573425824 y2[1] (numeric) = 1.179029573425823 absolute error = 8.881784197001252e-16 relative error = 7.533130972443778e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.179029573425824 y1[1] (numeric) = 1.179029573425823 absolute error = 8.881784197001252e-16 relative error = 7.533130972443778e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1810000000000001 y2[1] (analytic) = 1.180013327439859 y2[1] (numeric) = 1.180013327439858 absolute error = 8.881784197001252e-16 relative error = 7.526850748602179e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.180013327439859 y1[1] (numeric) = 1.180013327439858 absolute error = 8.881784197001252e-16 relative error = 7.526850748602179e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1820000000000001 y2[1] (analytic) = 1.180996901440582 y2[1] (numeric) = 1.180996901440581 absolute error = 8.881784197001252e-16 relative error = 7.520582133761096e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.180996901440582 y1[1] (numeric) = 1.180996901440581 absolute error = 8.881784197001252e-16 relative error = 7.520582133761096e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1830000000000001 y2[1] (analytic) = 1.181980294444418 y2[1] (numeric) = 1.181980294444417 absolute error = 8.881784197001252e-16 relative error = 7.514325102328443e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.181980294444418 y1[1] (numeric) = 1.181980294444417 absolute error = 8.881784197001252e-16 relative error = 7.514325102328443e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1840000000000001 y2[1] (analytic) = 1.182963505467975 y2[1] (numeric) = 1.182963505467974 absolute error = 8.881784197001252e-16 relative error = 7.508079628785896e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.182963505467975 y1[1] (numeric) = 1.182963505467974 absolute error = 8.881784197001252e-16 relative error = 7.508079628785896e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1850000000000001 y2[1] (analytic) = 1.183946533528041 y2[1] (numeric) = 1.18394653352804 absolute error = 8.881784197001252e-16 relative error = 7.501845687688642e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.183946533528041 y1[1] (numeric) = 1.18394653352804 absolute error = 8.881784197001252e-16 relative error = 7.501845687688642e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1860000000000001 y2[1] (analytic) = 1.18492937764159 y2[1] (numeric) = 1.184929377641589 absolute error = 8.881784197001252e-16 relative error = 7.495623253665132e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.18492937764159 y1[1] (numeric) = 1.184929377641589 absolute error = 8.881784197001252e-16 relative error = 7.495623253665132e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1870000000000001 y2[1] (analytic) = 1.185912036825776 y2[1] (numeric) = 1.185912036825775 absolute error = 8.881784197001252e-16 relative error = 7.489412301416829e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.185912036825776 y1[1] (numeric) = 1.185912036825775 absolute error = 8.881784197001252e-16 relative error = 7.489412301416829e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1880000000000001 y2[1] (analytic) = 1.186894510097941 y2[1] (numeric) = 1.18689451009794 absolute error = 1.110223024625157e-15 relative error = 9.354016007147447e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.186894510097941 y1[1] (numeric) = 1.18689451009794 absolute error = 1.110223024625157e-15 relative error = 9.354016007147447e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1890000000000001 y2[1] (analytic) = 1.187876796475611 y2[1] (numeric) = 1.18787679647561 absolute error = 1.110223024625157e-15 relative error = 9.346280926769084e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.187876796475611 y1[1] (numeric) = 1.18787679647561 absolute error = 1.110223024625157e-15 relative error = 9.346280926769084e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y2[1] (analytic) = 1.188858894976501 y2[1] (numeric) = 1.1888588949765 absolute error = 1.110223024625157e-15 relative error = 9.338560104284719e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.188858894976501 y1[1] (numeric) = 1.1888588949765 absolute error = 1.110223024625157e-15 relative error = 9.338560104284719e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1910000000000001 y2[1] (analytic) = 1.189840804618511 y2[1] (numeric) = 1.18984080461851 absolute error = 1.110223024625157e-15 relative error = 9.330853508433159e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.189840804618511 y1[1] (numeric) = 1.18984080461851 absolute error = 1.110223024625157e-15 relative error = 9.330853508433159e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1920000000000001 y2[1] (analytic) = 1.190822524419732 y2[1] (numeric) = 1.190822524419731 absolute error = 1.110223024625157e-15 relative error = 9.323161108042942e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.190822524419732 y1[1] (numeric) = 1.190822524419731 absolute error = 1.110223024625157e-15 relative error = 9.323161108042942e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1930000000000001 y2[1] (analytic) = 1.191804053398445 y2[1] (numeric) = 1.191804053398444 absolute error = 1.110223024625157e-15 relative error = 9.315482872032032e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.191804053398445 y1[1] (numeric) = 1.191804053398444 absolute error = 1.110223024625157e-15 relative error = 9.315482872032032e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1940000000000001 y2[1] (analytic) = 1.192785390573121 y2[1] (numeric) = 1.19278539057312 absolute error = 1.110223024625157e-15 relative error = 9.307818769407513e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.192785390573121 y1[1] (numeric) = 1.19278539057312 absolute error = 1.110223024625157e-15 relative error = 9.307818769407513e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1950000000000001 y2[1] (analytic) = 1.193766534962422 y2[1] (numeric) = 1.193766534962421 absolute error = 1.110223024625157e-15 relative error = 9.300168769265296e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.193766534962422 y1[1] (numeric) = 1.193766534962421 absolute error = 1.110223024625157e-15 relative error = 9.300168769265296e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1960000000000001 y2[1] (analytic) = 1.194747485585204 y2[1] (numeric) = 1.194747485585203 absolute error = 1.110223024625157e-15 relative error = 9.292532840789814e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.194747485585204 y1[1] (numeric) = 1.194747485585203 absolute error = 1.110223024625157e-15 relative error = 9.292532840789814e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1970000000000001 y2[1] (analytic) = 1.195728241460517 y2[1] (numeric) = 1.195728241460516 absolute error = 1.110223024625157e-15 relative error = 9.284910953253722e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.195728241460517 y1[1] (numeric) = 1.195728241460516 absolute error = 1.110223024625157e-15 relative error = 9.284910953253722e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1980000000000001 y2[1] (analytic) = 1.196708801607605 y2[1] (numeric) = 1.196708801607604 absolute error = 1.110223024625157e-15 relative error = 9.277303076017598e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.196708801607605 y1[1] (numeric) = 1.196708801607604 absolute error = 1.110223024625157e-15 relative error = 9.277303076017598e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.1990000000000001 y2[1] (analytic) = 1.197689165045907 y2[1] (numeric) = 1.197689165045906 absolute error = 1.110223024625157e-15 relative error = 9.269709178529654e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.197689165045907 y1[1] (numeric) = 1.197689165045906 absolute error = 1.110223024625157e-15 relative error = 9.269709178529654e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y2[1] (analytic) = 1.198669330795061 y2[1] (numeric) = 1.19866933079506 absolute error = 1.110223024625157e-15 relative error = 9.262129230325435e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.198669330795061 y1[1] (numeric) = 1.19866933079506 absolute error = 1.110223024625157e-15 relative error = 9.262129230325435e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2010000000000001 y2[1] (analytic) = 1.199649297874901 y2[1] (numeric) = 1.1996492978749 absolute error = 1.110223024625157e-15 relative error = 9.254563201027525e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.199649297874901 y1[1] (numeric) = 1.1996492978749 absolute error = 1.110223024625157e-15 relative error = 9.254563201027525e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2020000000000001 y2[1] (analytic) = 1.200629065305459 y2[1] (numeric) = 1.200629065305458 absolute error = 1.110223024625157e-15 relative error = 9.247011060345252e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.200629065305459 y1[1] (numeric) = 1.200629065305458 absolute error = 1.110223024625157e-15 relative error = 9.247011060345252e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2030000000000001 y2[1] (analytic) = 1.201608632106969 y2[1] (numeric) = 1.201608632106968 absolute error = 1.332267629550188e-15 relative error = 1.108736733368928e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.201608632106969 y1[1] (numeric) = 1.201608632106968 absolute error = 1.332267629550188e-15 relative error = 1.108736733368928e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2040000000000001 y2[1] (analytic) = 1.202587997299864 y2[1] (numeric) = 1.202587997299863 absolute error = 1.110223024625157e-15 relative error = 9.231948324096933e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.202587997299864 y1[1] (numeric) = 1.202587997299863 absolute error = 1.110223024625157e-15 relative error = 9.231948324096933e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2050000000000001 y2[1] (analytic) = 1.203567159904778 y2[1] (numeric) = 1.203567159904777 absolute error = 1.110223024625157e-15 relative error = 9.224437668380661e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.203567159904778 y1[1] (numeric) = 1.203567159904777 absolute error = 1.110223024625157e-15 relative error = 9.224437668380661e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2060000000000001 y2[1] (analytic) = 1.204546118942549 y2[1] (numeric) = 1.204546118942548 absolute error = 1.110223024625157e-15 relative error = 9.216940780979002e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.204546118942549 y1[1] (numeric) = 1.204546118942548 absolute error = 1.110223024625157e-15 relative error = 9.216940780979002e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2070000000000001 y2[1] (analytic) = 1.205524873434219 y2[1] (numeric) = 1.205524873434217 absolute error = 1.110223024625157e-15 relative error = 9.209457632030664e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.205524873434219 y1[1] (numeric) = 1.205524873434217 absolute error = 1.110223024625157e-15 relative error = 9.209457632030664e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2080000000000001 y2[1] (analytic) = 1.206503422401032 y2[1] (numeric) = 1.20650342240103 absolute error = 1.110223024625157e-15 relative error = 9.201988191759374e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.206503422401032 y1[1] (numeric) = 1.20650342240103 absolute error = 1.110223024625157e-15 relative error = 9.201988191759374e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2090000000000001 y2[1] (analytic) = 1.207481764864439 y2[1] (numeric) = 1.207481764864438 absolute error = 1.110223024625157e-15 relative error = 9.194532430473583e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.207481764864439 y1[1] (numeric) = 1.207481764864438 absolute error = 1.110223024625157e-15 relative error = 9.194532430473583e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y2[1] (analytic) = 1.2084598998461 y2[1] (numeric) = 1.208459899846098 absolute error = 1.110223024625157e-15 relative error = 9.187090318566187e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.2084598998461 y1[1] (numeric) = 1.208459899846098 absolute error = 1.110223024625157e-15 relative error = 9.187090318566187e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2110000000000001 y2[1] (analytic) = 1.209437826367877 y2[1] (numeric) = 1.209437826367876 absolute error = 1.110223024625157e-15 relative error = 9.179661826514244e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.209437826367877 y1[1] (numeric) = 1.209437826367876 absolute error = 1.110223024625157e-15 relative error = 9.179661826514244e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2120000000000001 y2[1] (analytic) = 1.210415543451846 y2[1] (numeric) = 1.210415543451845 absolute error = 1.110223024625157e-15 relative error = 9.17224692487869e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.210415543451846 y1[1] (numeric) = 1.210415543451845 absolute error = 1.110223024625157e-15 relative error = 9.17224692487869e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2130000000000001 y2[1] (analytic) = 1.211393050120289 y2[1] (numeric) = 1.211393050120288 absolute error = 1.110223024625157e-15 relative error = 9.164845584304065e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.211393050120289 y1[1] (numeric) = 1.211393050120288 absolute error = 1.110223024625157e-15 relative error = 9.164845584304065e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2140000000000001 y2[1] (analytic) = 1.2123703453957 y2[1] (numeric) = 1.212370345395698 absolute error = 1.332267629550188e-15 relative error = 1.098894933062187e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.2123703453957 y1[1] (numeric) = 1.212370345395698 absolute error = 1.332267629550188e-15 relative error = 1.098894933062187e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2150000000000001 y2[1] (analytic) = 1.213347428300782 y2[1] (numeric) = 1.213347428300781 absolute error = 1.110223024625157e-15 relative error = 9.150083469332068e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.213347428300782 y1[1] (numeric) = 1.213347428300781 absolute error = 1.110223024625157e-15 relative error = 9.150083469332068e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2160000000000001 y2[1] (analytic) = 1.214324297858455 y2[1] (numeric) = 1.214324297858453 absolute error = 1.110223024625157e-15 relative error = 9.142722636639258e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.214324297858455 y1[1] (numeric) = 1.214324297858453 absolute error = 1.110223024625157e-15 relative error = 9.142722636639258e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2170000000000001 y2[1] (analytic) = 1.215300953091847 y2[1] (numeric) = 1.215300953091846 absolute error = 1.110223024625157e-15 relative error = 9.135375248415946e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.215300953091847 y1[1] (numeric) = 1.215300953091846 absolute error = 1.110223024625157e-15 relative error = 9.135375248415946e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2180000000000001 y2[1] (analytic) = 1.216277393024304 y2[1] (numeric) = 1.216277393024303 absolute error = 1.110223024625157e-15 relative error = 9.128041275720496e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.216277393024304 y1[1] (numeric) = 1.216277393024303 absolute error = 1.110223024625157e-15 relative error = 9.128041275720496e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2190000000000001 y2[1] (analytic) = 1.217253616679386 y2[1] (numeric) = 1.217253616679385 absolute error = 1.110223024625157e-15 relative error = 9.120720689693212e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.217253616679386 y1[1] (numeric) = 1.217253616679385 absolute error = 1.110223024625157e-15 relative error = 9.120720689693212e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y2[1] (analytic) = 1.218229623080869 y2[1] (numeric) = 1.218229623080868 absolute error = 1.110223024625157e-15 relative error = 9.113413461556065e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.218229623080869 y1[1] (numeric) = 1.218229623080868 absolute error = 1.110223024625157e-15 relative error = 9.113413461556065e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2210000000000001 y2[1] (analytic) = 1.219205411252748 y2[1] (numeric) = 1.219205411252747 absolute error = 1.110223024625157e-15 relative error = 9.106119562612417e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.219205411252748 y1[1] (numeric) = 1.219205411252747 absolute error = 1.110223024625157e-15 relative error = 9.106119562612417e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2220000000000001 y2[1] (analytic) = 1.220180980219234 y2[1] (numeric) = 1.220180980219232 absolute error = 1.110223024625157e-15 relative error = 9.098838964246757e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.220180980219234 y1[1] (numeric) = 1.220180980219232 absolute error = 1.110223024625157e-15 relative error = 9.098838964246757e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2230000000000001 y2[1] (analytic) = 1.221156329004757 y2[1] (numeric) = 1.221156329004756 absolute error = 1.110223024625157e-15 relative error = 9.091571637924429e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.221156329004757 y1[1] (numeric) = 1.221156329004756 absolute error = 1.110223024625157e-15 relative error = 9.091571637924429e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2240000000000001 y2[1] (analytic) = 1.22213145663397 y2[1] (numeric) = 1.222131456633969 absolute error = 1.110223024625157e-15 relative error = 9.084317555191359e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.22213145663397 y1[1] (numeric) = 1.222131456633969 absolute error = 1.110223024625157e-15 relative error = 9.084317555191359e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2250000000000001 y2[1] (analytic) = 1.223106362131746 y2[1] (numeric) = 1.223106362131744 absolute error = 1.110223024625157e-15 relative error = 9.077076687673792e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.223106362131746 y1[1] (numeric) = 1.223106362131744 absolute error = 1.110223024625157e-15 relative error = 9.077076687673792e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2260000000000001 y2[1] (analytic) = 1.224081044523177 y2[1] (numeric) = 1.224081044523176 absolute error = 1.332267629550188e-15 relative error = 1.088381880849363e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.224081044523177 y1[1] (numeric) = 1.224081044523176 absolute error = 1.332267629550188e-15 relative error = 1.088381880849363e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2270000000000001 y2[1] (analytic) = 1.225055502833583 y2[1] (numeric) = 1.225055502833581 absolute error = 1.332267629550188e-15 relative error = 1.087516138222816e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.225055502833583 y1[1] (numeric) = 1.225055502833581 absolute error = 1.332267629550188e-15 relative error = 1.087516138222816e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2280000000000001 y2[1] (analytic) = 1.226029736088504 y2[1] (numeric) = 1.226029736088503 absolute error = 1.110223024625157e-15 relative error = 9.055433093875728e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.226029736088504 y1[1] (numeric) = 1.226029736088503 absolute error = 1.110223024625157e-15 relative error = 9.055433093875728e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2290000000000001 y2[1] (analytic) = 1.227003743313709 y2[1] (numeric) = 1.227003743313707 absolute error = 1.332267629550188e-15 relative error = 1.08578937660956e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.227003743313709 y1[1] (numeric) = 1.227003743313707 absolute error = 1.332267629550188e-15 relative error = 1.08578937660956e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y2[1] (analytic) = 1.227977523535188 y2[1] (numeric) = 1.227977523535187 absolute error = 1.110223024625157e-15 relative error = 9.0410695908258e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.227977523535188 y1[1] (numeric) = 1.227977523535187 absolute error = 1.110223024625157e-15 relative error = 9.0410695908258e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2310000000000001 y2[1] (analytic) = 1.228951075779164 y2[1] (numeric) = 1.228951075779163 absolute error = 1.332267629550188e-15 relative error = 1.084068890786007e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.228951075779164 y1[1] (numeric) = 1.228951075779163 absolute error = 1.332267629550188e-15 relative error = 1.084068890786007e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2320000000000001 y2[1] (analytic) = 1.229924399072083 y2[1] (numeric) = 1.229924399072081 absolute error = 1.110223024625157e-15 relative error = 9.026758274433495e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.229924399072083 y1[1] (numeric) = 1.229924399072081 absolute error = 1.110223024625157e-15 relative error = 9.026758274433495e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2330000000000001 y2[1] (analytic) = 1.230897492440621 y2[1] (numeric) = 1.23089749244062 absolute error = 1.110223024625157e-15 relative error = 9.019622116735394e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.230897492440621 y1[1] (numeric) = 1.23089749244062 absolute error = 1.110223024625157e-15 relative error = 9.019622116735394e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2340000000000001 y2[1] (analytic) = 1.231870354911687 y2[1] (numeric) = 1.231870354911686 absolute error = 1.110223024625157e-15 relative error = 9.01249892245965e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.231870354911687 y1[1] (numeric) = 1.231870354911686 absolute error = 1.110223024625157e-15 relative error = 9.01249892245965e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2350000000000001 y2[1] (analytic) = 1.232842985512417 y2[1] (numeric) = 1.232842985512416 absolute error = 1.110223024625157e-15 relative error = 9.005388664021194e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.232842985512417 y1[1] (numeric) = 1.232842985512416 absolute error = 1.110223024625157e-15 relative error = 9.005388664021194e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2360000000000001 y2[1] (analytic) = 1.233815383270181 y2[1] (numeric) = 1.23381538327018 absolute error = 1.110223024625157e-15 relative error = 8.998291313912399e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.233815383270181 y1[1] (numeric) = 1.23381538327018 absolute error = 1.110223024625157e-15 relative error = 8.998291313912399e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2370000000000001 y2[1] (analytic) = 1.234787547212581 y2[1] (numeric) = 1.23478754721258 absolute error = 1.110223024625157e-15 relative error = 8.991206844702821e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.234787547212581 y1[1] (numeric) = 1.23478754721258 absolute error = 1.110223024625157e-15 relative error = 8.991206844702821e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2380000000000001 y2[1] (analytic) = 1.235759476367453 y2[1] (numeric) = 1.235759476367452 absolute error = 1.110223024625157e-15 relative error = 8.984135229038951e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.235759476367453 y1[1] (numeric) = 1.235759476367452 absolute error = 1.110223024625157e-15 relative error = 8.984135229038951e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2390000000000001 y2[1] (analytic) = 1.236731169762869 y2[1] (numeric) = 1.236731169762868 absolute error = 1.110223024625157e-15 relative error = 8.977076439643959e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.236731169762869 y1[1] (numeric) = 1.236731169762868 absolute error = 1.110223024625157e-15 relative error = 8.977076439643959e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y2[1] (analytic) = 1.237702626427135 y2[1] (numeric) = 1.237702626427134 absolute error = 8.881784197001252e-16 relative error = 7.176024359453951e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.237702626427135 y1[1] (numeric) = 1.237702626427134 absolute error = 8.881784197001252e-16 relative error = 7.176024359453951e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2410000000000001 y2[1] (analytic) = 1.238673845388794 y2[1] (numeric) = 1.238673845388793 absolute error = 8.881784197001252e-16 relative error = 7.170397784748128e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.238673845388794 y1[1] (numeric) = 1.238673845388793 absolute error = 8.881784197001252e-16 relative error = 7.170397784748128e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2420000000000001 y2[1] (analytic) = 1.239644825676627 y2[1] (numeric) = 1.239644825676626 absolute error = 8.881784197001252e-16 relative error = 7.164781405959055e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.239644825676627 y1[1] (numeric) = 1.239644825676626 absolute error = 8.881784197001252e-16 relative error = 7.164781405959055e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2430000000000001 y2[1] (analytic) = 1.240615566319655 y2[1] (numeric) = 1.240615566319654 absolute error = 8.881784197001252e-16 relative error = 7.159175201508623e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.240615566319655 y1[1] (numeric) = 1.240615566319654 absolute error = 8.881784197001252e-16 relative error = 7.159175201508623e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2440000000000001 y2[1] (analytic) = 1.241586066347137 y2[1] (numeric) = 1.241586066347136 absolute error = 8.881784197001252e-16 relative error = 7.153579149879073e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.241586066347137 y1[1] (numeric) = 1.241586066347136 absolute error = 8.881784197001252e-16 relative error = 7.153579149879073e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2450000000000001 y2[1] (analytic) = 1.242556324788572 y2[1] (numeric) = 1.242556324788571 absolute error = 1.110223024625157e-15 relative error = 8.934991537015974e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.242556324788572 y1[1] (numeric) = 1.242556324788571 absolute error = 1.110223024625157e-15 relative error = 8.934991537015974e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2460000000000001 y2[1] (analytic) = 1.243526340673703 y2[1] (numeric) = 1.243526340673702 absolute error = 8.881784197001252e-16 relative error = 7.14241741931207e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.243526340673703 y1[1] (numeric) = 1.243526340673702 absolute error = 8.881784197001252e-16 relative error = 7.14241741931207e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2470000000000001 y2[1] (analytic) = 1.244496113032513 y2[1] (numeric) = 1.244496113032513 absolute error = 8.881784197001252e-16 relative error = 7.136851697639017e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.244496113032513 y1[1] (numeric) = 1.244496113032513 absolute error = 8.881784197001252e-16 relative error = 7.136851697639017e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2480000000000001 y2[1] (analytic) = 1.245465640895231 y2[1] (numeric) = 1.24546564089523 absolute error = 8.881784197001252e-16 relative error = 7.131296043315249e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.245465640895231 y1[1] (numeric) = 1.24546564089523 absolute error = 8.881784197001252e-16 relative error = 7.131296043315249e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2490000000000001 y2[1] (analytic) = 1.246434923292328 y2[1] (numeric) = 1.246434923292328 absolute error = 8.881784197001252e-16 relative error = 7.125750435121748e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.246434923292328 y1[1] (numeric) = 1.246434923292328 absolute error = 8.881784197001252e-16 relative error = 7.125750435121748e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y2[1] (analytic) = 1.247403959254523 y2[1] (numeric) = 1.247403959254522 absolute error = 8.881784197001252e-16 relative error = 7.120214851898666e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.247403959254523 y1[1] (numeric) = 1.247403959254522 absolute error = 8.881784197001252e-16 relative error = 7.120214851898666e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2510000000000001 y2[1] (analytic) = 1.248372747812779 y2[1] (numeric) = 1.248372747812778 absolute error = 1.110223024625157e-15 relative error = 8.893361590681398e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.248372747812779 y1[1] (numeric) = 1.248372747812778 absolute error = 1.110223024625157e-15 relative error = 8.893361590681398e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2520000000000001 y2[1] (analytic) = 1.249341287998308 y2[1] (numeric) = 1.249341287998307 absolute error = 8.881784197001252e-16 relative error = 7.109173676019008e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.249341287998308 y1[1] (numeric) = 1.249341287998307 absolute error = 8.881784197001252e-16 relative error = 7.109173676019008e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2530000000000001 y2[1] (analytic) = 1.250309578842569 y2[1] (numeric) = 1.250309578842568 absolute error = 8.881784197001252e-16 relative error = 7.103668041336815e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.250309578842569 y1[1] (numeric) = 1.250309578842568 absolute error = 8.881784197001252e-16 relative error = 7.103668041336815e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2540000000000001 y2[1] (analytic) = 1.251277619377273 y2[1] (numeric) = 1.251277619377272 absolute error = 8.881784197001252e-16 relative error = 7.098172347573416e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.251277619377273 y1[1] (numeric) = 1.251277619377272 absolute error = 8.881784197001252e-16 relative error = 7.098172347573416e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2550000000000001 y2[1] (analytic) = 1.252245408634378 y2[1] (numeric) = 1.252245408634377 absolute error = 8.881784197001252e-16 relative error = 7.092686573861892e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.252245408634378 y1[1] (numeric) = 1.252245408634377 absolute error = 8.881784197001252e-16 relative error = 7.092686573861892e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2560000000000001 y2[1] (analytic) = 1.253212945646096 y2[1] (numeric) = 1.253212945646095 absolute error = 8.881784197001252e-16 relative error = 7.087210699393339e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.253212945646096 y1[1] (numeric) = 1.253212945646095 absolute error = 8.881784197001252e-16 relative error = 7.087210699393339e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2570000000000001 y2[1] (analytic) = 1.254180229444889 y2[1] (numeric) = 1.254180229444888 absolute error = 8.881784197001252e-16 relative error = 7.081744703416676e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.254180229444889 y1[1] (numeric) = 1.254180229444888 absolute error = 8.881784197001252e-16 relative error = 7.081744703416676e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2580000000000001 y2[1] (analytic) = 1.255147259063474 y2[1] (numeric) = 1.255147259063473 absolute error = 8.881784197001252e-16 relative error = 7.07628856523846e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.255147259063474 y1[1] (numeric) = 1.255147259063473 absolute error = 8.881784197001252e-16 relative error = 7.07628856523846e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2590000000000001 y2[1] (analytic) = 1.25611403353482 y2[1] (numeric) = 1.25611403353482 absolute error = 8.881784197001252e-16 relative error = 7.070842264222695e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.25611403353482 y1[1] (numeric) = 1.25611403353482 absolute error = 8.881784197001252e-16 relative error = 7.070842264222695e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y2[1] (analytic) = 1.257080551892155 y2[1] (numeric) = 1.257080551892154 absolute error = 8.881784197001252e-16 relative error = 7.065405779790649e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.257080551892155 y1[1] (numeric) = 1.257080551892154 absolute error = 8.881784197001252e-16 relative error = 7.065405779790649e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2610000000000001 y2[1] (analytic) = 1.258046813168959 y2[1] (numeric) = 1.258046813168959 absolute error = 8.881784197001252e-16 relative error = 7.059979091420663e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.258046813168959 y1[1] (numeric) = 1.258046813168959 absolute error = 8.881784197001252e-16 relative error = 7.059979091420663e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2620000000000001 y2[1] (analytic) = 1.259012816398972 y2[1] (numeric) = 1.259012816398971 absolute error = 8.881784197001252e-16 relative error = 7.054562178647972e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.259012816398972 y1[1] (numeric) = 1.259012816398971 absolute error = 8.881784197001252e-16 relative error = 7.054562178647972e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2630000000000001 y2[1] (analytic) = 1.25997856061619 y2[1] (numeric) = 1.259978560616189 absolute error = 8.881784197001252e-16 relative error = 7.049155021064512e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.25997856061619 y1[1] (numeric) = 1.259978560616189 absolute error = 8.881784197001252e-16 relative error = 7.049155021064512e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2640000000000001 y2[1] (analytic) = 1.260944044854869 y2[1] (numeric) = 1.260944044854868 absolute error = 8.881784197001252e-16 relative error = 7.043757598318744e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.260944044854869 y1[1] (numeric) = 1.260944044854868 absolute error = 8.881784197001252e-16 relative error = 7.043757598318744e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2650000000000001 y2[1] (analytic) = 1.261909268149525 y2[1] (numeric) = 1.261909268149524 absolute error = 8.881784197001252e-16 relative error = 7.038369890115463e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.261909268149525 y1[1] (numeric) = 1.261909268149524 absolute error = 8.881784197001252e-16 relative error = 7.038369890115463e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2660000000000001 y2[1] (analytic) = 1.262874229534934 y2[1] (numeric) = 1.262874229534933 absolute error = 8.881784197001252e-16 relative error = 7.032991876215621e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.262874229534934 y1[1] (numeric) = 1.262874229534933 absolute error = 8.881784197001252e-16 relative error = 7.032991876215621e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2670000000000001 y2[1] (analytic) = 1.263838928046136 y2[1] (numeric) = 1.263838928046135 absolute error = 8.881784197001252e-16 relative error = 7.027623536436145e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.263838928046136 y1[1] (numeric) = 1.263838928046135 absolute error = 8.881784197001252e-16 relative error = 7.027623536436145e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2680000000000001 y2[1] (analytic) = 1.264803362718431 y2[1] (numeric) = 1.264803362718431 absolute error = 8.881784197001252e-16 relative error = 7.022264850649754e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.264803362718431 y1[1] (numeric) = 1.264803362718431 absolute error = 8.881784197001252e-16 relative error = 7.022264850649754e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2690000000000001 y2[1] (analytic) = 1.265767532587387 y2[1] (numeric) = 1.265767532587386 absolute error = 8.881784197001252e-16 relative error = 7.016915798784774e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.265767532587387 y1[1] (numeric) = 1.265767532587386 absolute error = 8.881784197001252e-16 relative error = 7.016915798784774e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y2[1] (analytic) = 1.266731436688831 y2[1] (numeric) = 1.26673143668883 absolute error = 8.881784197001252e-16 relative error = 7.011576360824963e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.266731436688831 y1[1] (numeric) = 1.26673143668883 absolute error = 8.881784197001252e-16 relative error = 7.011576360824963e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2710000000000001 y2[1] (analytic) = 1.267695074058862 y2[1] (numeric) = 1.26769507405886 absolute error = 1.110223024625157e-15 relative error = 8.757808146011671e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.267695074058862 y1[1] (numeric) = 1.26769507405886 absolute error = 1.110223024625157e-15 relative error = 8.757808146011671e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2720000000000001 y2[1] (analytic) = 1.26865844373384 y2[1] (numeric) = 1.268658443733839 absolute error = 1.110223024625157e-15 relative error = 8.751157808539975e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.26865844373384 y1[1] (numeric) = 1.268658443733839 absolute error = 1.110223024625157e-15 relative error = 8.751157808539975e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2730000000000001 y2[1] (analytic) = 1.269621544750397 y2[1] (numeric) = 1.269621544750396 absolute error = 8.881784197001252e-16 relative error = 6.995615531041874e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.269621544750397 y1[1] (numeric) = 1.269621544750396 absolute error = 8.881784197001252e-16 relative error = 6.995615531041874e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2740000000000001 y2[1] (analytic) = 1.270584376145432 y2[1] (numeric) = 1.270584376145431 absolute error = 1.110223024625157e-15 relative error = 8.737892937053396e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.270584376145432 y1[1] (numeric) = 1.270584376145431 absolute error = 1.110223024625157e-15 relative error = 8.737892937053396e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2750000000000001 y2[1] (analytic) = 1.271546936956113 y2[1] (numeric) = 1.271546936956112 absolute error = 1.110223024625157e-15 relative error = 8.731278353615943e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.271546936956113 y1[1] (numeric) = 1.271546936956112 absolute error = 1.110223024625157e-15 relative error = 8.731278353615943e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2760000000000001 y2[1] (analytic) = 1.27250922621988 y2[1] (numeric) = 1.272509226219879 absolute error = 1.110223024625157e-15 relative error = 8.72467563888074e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.27250922621988 y1[1] (numeric) = 1.272509226219879 absolute error = 1.110223024625157e-15 relative error = 8.72467563888074e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2770000000000001 y2[1] (analytic) = 1.273471242974443 y2[1] (numeric) = 1.273471242974442 absolute error = 1.110223024625157e-15 relative error = 8.718084768306285e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.273471242974443 y1[1] (numeric) = 1.273471242974442 absolute error = 1.110223024625157e-15 relative error = 8.718084768306285e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2780000000000001 y2[1] (analytic) = 1.274432986257786 y2[1] (numeric) = 1.274432986257785 absolute error = 1.110223024625157e-15 relative error = 8.7115057174186e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.274432986257786 y1[1] (numeric) = 1.274432986257785 absolute error = 1.110223024625157e-15 relative error = 8.7115057174186e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2790000000000001 y2[1] (analytic) = 1.275394455108166 y2[1] (numeric) = 1.275394455108165 absolute error = 1.110223024625157e-15 relative error = 8.704938461811006e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.275394455108166 y1[1] (numeric) = 1.275394455108165 absolute error = 1.110223024625157e-15 relative error = 8.704938461811006e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y2[1] (analytic) = 1.276355648564114 y2[1] (numeric) = 1.276355648564113 absolute error = 1.110223024625157e-15 relative error = 8.698382977143912e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.276355648564114 y1[1] (numeric) = 1.276355648564113 absolute error = 1.110223024625157e-15 relative error = 8.698382977143912e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2810000000000001 y2[1] (analytic) = 1.277316565664436 y2[1] (numeric) = 1.277316565664435 absolute error = 1.110223024625157e-15 relative error = 8.691839239144599e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.277316565664436 y1[1] (numeric) = 1.277316565664435 absolute error = 1.110223024625157e-15 relative error = 8.691839239144599e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2820000000000001 y2[1] (analytic) = 1.278277205448215 y2[1] (numeric) = 1.278277205448215 absolute error = 8.881784197001252e-16 relative error = 6.948245778885606e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.278277205448215 y1[1] (numeric) = 1.278277205448215 absolute error = 8.881784197001252e-16 relative error = 6.948245778885606e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2830000000000001 y2[1] (analytic) = 1.279237566954813 y2[1] (numeric) = 1.279237566954812 absolute error = 8.881784197001252e-16 relative error = 6.943029525113209e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.279237566954813 y1[1] (numeric) = 1.279237566954812 absolute error = 8.881784197001252e-16 relative error = 6.943029525113209e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2840000000000001 y2[1] (analytic) = 1.280197649223866 y2[1] (numeric) = 1.280197649223866 absolute error = 8.881784197001252e-16 relative error = 6.937822610739779e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.280197649223866 y1[1] (numeric) = 1.280197649223866 absolute error = 8.881784197001252e-16 relative error = 6.937822610739779e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2850000000000001 y2[1] (analytic) = 1.281157451295294 y2[1] (numeric) = 1.281157451295293 absolute error = 8.881784197001252e-16 relative error = 6.932625016559412e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.281157451295294 y1[1] (numeric) = 1.281157451295293 absolute error = 8.881784197001252e-16 relative error = 6.932625016559412e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2860000000000001 y2[1] (analytic) = 1.282116972209294 y2[1] (numeric) = 1.282116972209293 absolute error = 8.881784197001252e-16 relative error = 6.927436723418853e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.282116972209294 y1[1] (numeric) = 1.282116972209293 absolute error = 8.881784197001252e-16 relative error = 6.927436723418853e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2870000000000001 y2[1] (analytic) = 1.283076211006345 y2[1] (numeric) = 1.283076211006344 absolute error = 8.881784197001252e-16 relative error = 6.922257712217321e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.283076211006345 y1[1] (numeric) = 1.283076211006344 absolute error = 8.881784197001252e-16 relative error = 6.922257712217321e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2880000000000001 y2[1] (analytic) = 1.284035166727209 y2[1] (numeric) = 1.284035166727208 absolute error = 8.881784197001252e-16 relative error = 6.917087963906344e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.284035166727209 y1[1] (numeric) = 1.284035166727208 absolute error = 8.881784197001252e-16 relative error = 6.917087963906344e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2890000000000001 y2[1] (analytic) = 1.28499383841293 y2[1] (numeric) = 1.284993838412929 absolute error = 8.881784197001252e-16 relative error = 6.911927459489587e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.28499383841293 y1[1] (numeric) = 1.284993838412929 absolute error = 8.881784197001252e-16 relative error = 6.911927459489587e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y2[1] (analytic) = 1.285952225104836 y2[1] (numeric) = 1.285952225104835 absolute error = 8.881784197001252e-16 relative error = 6.906776180022688e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.285952225104836 y1[1] (numeric) = 1.285952225104835 absolute error = 8.881784197001252e-16 relative error = 6.906776180022688e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2910000000000001 y2[1] (analytic) = 1.28691032584454 y2[1] (numeric) = 1.28691032584454 absolute error = 8.881784197001252e-16 relative error = 6.901634106613096e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.28691032584454 y1[1] (numeric) = 1.28691032584454 absolute error = 8.881784197001252e-16 relative error = 6.901634106613096e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2920000000000001 y2[1] (analytic) = 1.287868139673943 y2[1] (numeric) = 1.287868139673942 absolute error = 8.881784197001252e-16 relative error = 6.896501220419897e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.287868139673943 y1[1] (numeric) = 1.287868139673942 absolute error = 8.881784197001252e-16 relative error = 6.896501220419897e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2930000000000001 y2[1] (analytic) = 1.28882566563523 y2[1] (numeric) = 1.288825665635229 absolute error = 8.881784197001252e-16 relative error = 6.891377502653658e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.28882566563523 y1[1] (numeric) = 1.288825665635229 absolute error = 8.881784197001252e-16 relative error = 6.891377502653658e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2940000000000002 y2[1] (analytic) = 1.289782902770876 y2[1] (numeric) = 1.289782902770875 absolute error = 8.881784197001252e-16 relative error = 6.886262934576254e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.289782902770876 y1[1] (numeric) = 1.289782902770875 absolute error = 8.881784197001252e-16 relative error = 6.886262934576254e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2950000000000002 y2[1] (analytic) = 1.290739850123643 y2[1] (numeric) = 1.290739850123642 absolute error = 8.881784197001252e-16 relative error = 6.881157497500713e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.290739850123643 y1[1] (numeric) = 1.290739850123642 absolute error = 8.881784197001252e-16 relative error = 6.881157497500713e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2960000000000002 y2[1] (analytic) = 1.291696506736584 y2[1] (numeric) = 1.291696506736583 absolute error = 8.881784197001252e-16 relative error = 6.876061172791046e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.291696506736584 y1[1] (numeric) = 1.291696506736583 absolute error = 8.881784197001252e-16 relative error = 6.876061172791046e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2970000000000002 y2[1] (analytic) = 1.292652871653043 y2[1] (numeric) = 1.292652871653042 absolute error = 8.881784197001252e-16 relative error = 6.870973941862087e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.292652871653043 y1[1] (numeric) = 1.292652871653042 absolute error = 8.881784197001252e-16 relative error = 6.870973941862087e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2980000000000002 y2[1] (analytic) = 1.293608943916654 y2[1] (numeric) = 1.293608943916653 absolute error = 1.110223024625157e-15 relative error = 8.582369732724166e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.293608943916654 y1[1] (numeric) = 1.293608943916653 absolute error = 1.110223024625157e-15 relative error = 8.582369732724166e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2990000000000002 y2[1] (analytic) = 1.294564722571346 y2[1] (numeric) = 1.294564722571345 absolute error = 1.110223024625157e-15 relative error = 8.576033359073478e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.294564722571346 y1[1] (numeric) = 1.294564722571345 absolute error = 1.110223024625157e-15 relative error = 8.576033359073478e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y2[1] (analytic) = 1.29552020666134 y2[1] (numeric) = 1.295520206661339 absolute error = 1.110223024625157e-15 relative error = 8.569708283333465e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.29552020666134 y1[1] (numeric) = 1.295520206661339 absolute error = 1.110223024625157e-15 relative error = 8.569708283333465e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3010000000000002 y2[1] (analytic) = 1.296475395231152 y2[1] (numeric) = 1.296475395231151 absolute error = 1.110223024625157e-15 relative error = 8.563394482524771e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.296475395231152 y1[1] (numeric) = 1.296475395231151 absolute error = 1.110223024625157e-15 relative error = 8.563394482524771e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3020000000000002 y2[1] (analytic) = 1.297430287325593 y2[1] (numeric) = 1.297430287325592 absolute error = 1.110223024625157e-15 relative error = 8.557091933730569e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.297430287325593 y1[1] (numeric) = 1.297430287325592 absolute error = 1.110223024625157e-15 relative error = 8.557091933730569e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3030000000000002 y2[1] (analytic) = 1.298384881989772 y2[1] (numeric) = 1.298384881989771 absolute error = 1.110223024625157e-15 relative error = 8.550800614096357e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.298384881989772 y1[1] (numeric) = 1.298384881989771 absolute error = 1.110223024625157e-15 relative error = 8.550800614096357e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3040000000000002 y2[1] (analytic) = 1.299339178269093 y2[1] (numeric) = 1.299339178269092 absolute error = 1.110223024625157e-15 relative error = 8.544520500829763e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.299339178269093 y1[1] (numeric) = 1.299339178269092 absolute error = 1.110223024625157e-15 relative error = 8.544520500829763e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3050000000000002 y2[1] (analytic) = 1.300293175209262 y2[1] (numeric) = 1.300293175209261 absolute error = 1.110223024625157e-15 relative error = 8.538251571200346e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.300293175209262 y1[1] (numeric) = 1.300293175209261 absolute error = 1.110223024625157e-15 relative error = 8.538251571200346e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3060000000000002 y2[1] (analytic) = 1.30124687185628 y2[1] (numeric) = 1.301246871856279 absolute error = 1.110223024625157e-15 relative error = 8.531993802539405e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.30124687185628 y1[1] (numeric) = 1.301246871856279 absolute error = 1.110223024625157e-15 relative error = 8.531993802539405e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3070000000000002 y2[1] (analytic) = 1.302200267256451 y2[1] (numeric) = 1.30220026725645 absolute error = 1.110223024625157e-15 relative error = 8.525747172239772e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.302200267256451 y1[1] (numeric) = 1.30220026725645 absolute error = 1.110223024625157e-15 relative error = 8.525747172239772e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3080000000000002 y2[1] (analytic) = 1.303153360456381 y2[1] (numeric) = 1.303153360456379 absolute error = 1.110223024625157e-15 relative error = 8.519511657755635e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.303153360456381 y1[1] (numeric) = 1.303153360456379 absolute error = 1.110223024625157e-15 relative error = 8.519511657755635e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3090000000000002 y2[1] (analytic) = 1.304106150502975 y2[1] (numeric) = 1.304106150502974 absolute error = 1.110223024625157e-15 relative error = 8.513287236602324e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.304106150502975 y1[1] (numeric) = 1.304106150502974 absolute error = 1.110223024625157e-15 relative error = 8.513287236602324e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y2[1] (analytic) = 1.305058636443444 y2[1] (numeric) = 1.305058636443443 absolute error = 8.881784197001252e-16 relative error = 6.805659109084909e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.305058636443444 y1[1] (numeric) = 1.305058636443443 absolute error = 8.881784197001252e-16 relative error = 6.805659109084909e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3110000000000002 y2[1] (analytic) = 1.306010817325302 y2[1] (numeric) = 1.306010817325301 absolute error = 8.881784197001252e-16 relative error = 6.800697267723301e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.306010817325302 y1[1] (numeric) = 1.306010817325301 absolute error = 8.881784197001252e-16 relative error = 6.800697267723301e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3120000000000002 y2[1] (analytic) = 1.306962692196368 y2[1] (numeric) = 1.306962692196367 absolute error = 8.881784197001252e-16 relative error = 6.79574424735514e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.306962692196368 y1[1] (numeric) = 1.306962692196367 absolute error = 8.881784197001252e-16 relative error = 6.79574424735514e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3130000000000002 y2[1] (analytic) = 1.307914260104767 y2[1] (numeric) = 1.307914260104766 absolute error = 8.881784197001252e-16 relative error = 6.79080003018684e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.307914260104767 y1[1] (numeric) = 1.307914260104766 absolute error = 8.881784197001252e-16 relative error = 6.79080003018684e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3140000000000002 y2[1] (analytic) = 1.308865520098932 y2[1] (numeric) = 1.308865520098931 absolute error = 8.881784197001252e-16 relative error = 6.785864598472966e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.308865520098932 y1[1] (numeric) = 1.308865520098931 absolute error = 8.881784197001252e-16 relative error = 6.785864598472966e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3150000000000002 y2[1] (analytic) = 1.309816471227603 y2[1] (numeric) = 1.309816471227602 absolute error = 8.881784197001252e-16 relative error = 6.780937934516087e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.309816471227603 y1[1] (numeric) = 1.309816471227602 absolute error = 8.881784197001252e-16 relative error = 6.780937934516087e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3160000000000002 y2[1] (analytic) = 1.310767112539828 y2[1] (numeric) = 1.310767112539827 absolute error = 8.881784197001252e-16 relative error = 6.776020020666619e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.310767112539828 y1[1] (numeric) = 1.310767112539827 absolute error = 8.881784197001252e-16 relative error = 6.776020020666619e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3170000000000002 y2[1] (analytic) = 1.311717443084967 y2[1] (numeric) = 1.311717443084966 absolute error = 8.881784197001252e-16 relative error = 6.771110839322681e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.311717443084967 y1[1] (numeric) = 1.311717443084966 absolute error = 8.881784197001252e-16 relative error = 6.771110839322681e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3180000000000002 y2[1] (analytic) = 1.312667461912689 y2[1] (numeric) = 1.312667461912688 absolute error = 8.881784197001252e-16 relative error = 6.766210372929941e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.312667461912689 y1[1] (numeric) = 1.312667461912688 absolute error = 8.881784197001252e-16 relative error = 6.766210372929941e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3190000000000002 y2[1] (analytic) = 1.313617168072974 y2[1] (numeric) = 1.313617168072973 absolute error = 8.881784197001252e-16 relative error = 6.761318603981469e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.313617168072974 y1[1] (numeric) = 1.313617168072973 absolute error = 8.881784197001252e-16 relative error = 6.761318603981469e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y2[1] (analytic) = 1.314566560616118 y2[1] (numeric) = 1.314566560616117 absolute error = 6.661338147750939e-16 relative error = 5.067326636263187e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.314566560616118 y1[1] (numeric) = 1.314566560616117 absolute error = 6.661338147750939e-16 relative error = 5.067326636263187e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3210000000000002 y2[1] (analytic) = 1.315515638592727 y2[1] (numeric) = 1.315515638592726 absolute error = 8.881784197001252e-16 relative error = 6.751561088625704e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.315515638592727 y1[1] (numeric) = 1.315515638592726 absolute error = 8.881784197001252e-16 relative error = 6.751561088625704e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3220000000000002 y2[1] (analytic) = 1.316464401053724 y2[1] (numeric) = 1.316464401053723 absolute error = 8.881784197001252e-16 relative error = 6.746695307440213e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.316464401053724 y1[1] (numeric) = 1.316464401053723 absolute error = 8.881784197001252e-16 relative error = 6.746695307440213e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3230000000000002 y2[1] (analytic) = 1.317412847050347 y2[1] (numeric) = 1.317412847050346 absolute error = 8.881784197001252e-16 relative error = 6.741838154142293e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.317412847050347 y1[1] (numeric) = 1.317412847050346 absolute error = 8.881784197001252e-16 relative error = 6.741838154142293e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3240000000000002 y2[1] (analytic) = 1.318360975634149 y2[1] (numeric) = 1.318360975634148 absolute error = 8.881784197001252e-16 relative error = 6.73698961145979e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.318360975634149 y1[1] (numeric) = 1.318360975634148 absolute error = 8.881784197001252e-16 relative error = 6.73698961145979e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3250000000000002 y2[1] (analytic) = 1.319308785857001 y2[1] (numeric) = 1.319308785857 absolute error = 8.881784197001252e-16 relative error = 6.732149662167066e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.319308785857001 y1[1] (numeric) = 1.319308785857 absolute error = 8.881784197001252e-16 relative error = 6.732149662167066e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3260000000000002 y2[1] (analytic) = 1.320256276771095 y2[1] (numeric) = 1.320256276771094 absolute error = 8.881784197001252e-16 relative error = 6.727318289084849e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.320256276771095 y1[1] (numeric) = 1.320256276771094 absolute error = 8.881784197001252e-16 relative error = 6.727318289084849e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3270000000000002 y2[1] (analytic) = 1.321203447428938 y2[1] (numeric) = 1.321203447428937 absolute error = 8.881784197001252e-16 relative error = 6.722495475080092e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.321203447428938 y1[1] (numeric) = 1.321203447428937 absolute error = 8.881784197001252e-16 relative error = 6.722495475080092e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3280000000000002 y2[1] (analytic) = 1.32215029688336 y2[1] (numeric) = 1.32215029688336 absolute error = 8.881784197001252e-16 relative error = 6.717681203065826e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.32215029688336 y1[1] (numeric) = 1.32215029688336 absolute error = 8.881784197001252e-16 relative error = 6.717681203065826e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3290000000000002 y2[1] (analytic) = 1.323096824187513 y2[1] (numeric) = 1.323096824187512 absolute error = 8.881784197001252e-16 relative error = 6.712875456001018e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.323096824187513 y1[1] (numeric) = 1.323096824187512 absolute error = 8.881784197001252e-16 relative error = 6.712875456001018e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y2[1] (analytic) = 1.324043028394869 y2[1] (numeric) = 1.324043028394868 absolute error = 8.881784197001252e-16 relative error = 6.708078216890428e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.324043028394869 y1[1] (numeric) = 1.324043028394868 absolute error = 8.881784197001252e-16 relative error = 6.708078216890428e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3310000000000002 y2[1] (analytic) = 1.324988908559223 y2[1] (numeric) = 1.324988908559222 absolute error = 8.881784197001252e-16 relative error = 6.703289468784459e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.324988908559223 y1[1] (numeric) = 1.324988908559222 absolute error = 8.881784197001252e-16 relative error = 6.703289468784459e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3320000000000002 y2[1] (analytic) = 1.325934463734695 y2[1] (numeric) = 1.325934463734694 absolute error = 8.881784197001252e-16 relative error = 6.698509194779027e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.325934463734695 y1[1] (numeric) = 1.325934463734694 absolute error = 8.881784197001252e-16 relative error = 6.698509194779027e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3330000000000002 y2[1] (analytic) = 1.326879692975731 y2[1] (numeric) = 1.32687969297573 absolute error = 8.881784197001252e-16 relative error = 6.693737378015403e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.326879692975731 y1[1] (numeric) = 1.32687969297573 absolute error = 8.881784197001252e-16 relative error = 6.693737378015403e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3340000000000002 y2[1] (analytic) = 1.327824595337101 y2[1] (numeric) = 1.3278245953371 absolute error = 8.881784197001252e-16 relative error = 6.688974001680088e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.327824595337101 y1[1] (numeric) = 1.3278245953371 absolute error = 8.881784197001252e-16 relative error = 6.688974001680088e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3350000000000002 y2[1] (analytic) = 1.328769169873903 y2[1] (numeric) = 1.328769169873902 absolute error = 8.881784197001252e-16 relative error = 6.68421904900466e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.328769169873903 y1[1] (numeric) = 1.328769169873902 absolute error = 8.881784197001252e-16 relative error = 6.68421904900466e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3360000000000002 y2[1] (analytic) = 1.329713415641563 y2[1] (numeric) = 1.329713415641562 absolute error = 8.881784197001252e-16 relative error = 6.679472503265638e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.329713415641563 y1[1] (numeric) = 1.329713415641562 absolute error = 8.881784197001252e-16 relative error = 6.679472503265638e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3370000000000002 y2[1] (analytic) = 1.330657331695835 y2[1] (numeric) = 1.330657331695833 absolute error = 1.110223024625157e-15 relative error = 8.343417934730431e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.330657331695835 y1[1] (numeric) = 1.330657331695833 absolute error = 1.110223024625157e-15 relative error = 8.343417934730431e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3380000000000002 y2[1] (analytic) = 1.331600917092802 y2[1] (numeric) = 1.331600917092801 absolute error = 8.881784197001252e-16 relative error = 6.670004565926763e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.331600917092802 y1[1] (numeric) = 1.331600917092801 absolute error = 8.881784197001252e-16 relative error = 6.670004565926763e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3390000000000002 y2[1] (analytic) = 1.33254417088888 y2[1] (numeric) = 1.332544170888879 absolute error = 1.110223024625157e-15 relative error = 8.331603926379244e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.33254417088888 y1[1] (numeric) = 1.332544170888879 absolute error = 1.110223024625157e-15 relative error = 8.331603926379244e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y2[1] (analytic) = 1.333487092140815 y2[1] (numeric) = 1.333487092140814 absolute error = 1.110223024625157e-15 relative error = 8.325712570961417e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.333487092140815 y1[1] (numeric) = 1.333487092140814 absolute error = 1.110223024625157e-15 relative error = 8.325712570961417e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3410000000000002 y2[1] (analytic) = 1.334429679905685 y2[1] (numeric) = 1.334429679905684 absolute error = 1.110223024625157e-15 relative error = 8.319831620528892e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.334429679905685 y1[1] (numeric) = 1.334429679905684 absolute error = 1.110223024625157e-15 relative error = 8.319831620528892e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3420000000000002 y2[1] (analytic) = 1.335371933240903 y2[1] (numeric) = 1.335371933240902 absolute error = 1.110223024625157e-15 relative error = 8.313961054510725e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.335371933240903 y1[1] (numeric) = 1.335371933240902 absolute error = 1.110223024625157e-15 relative error = 8.313961054510725e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3430000000000002 y2[1] (analytic) = 1.336313851204216 y2[1] (numeric) = 1.336313851204215 absolute error = 1.110223024625157e-15 relative error = 8.308100852390937e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.336313851204216 y1[1] (numeric) = 1.336313851204215 absolute error = 1.110223024625157e-15 relative error = 8.308100852390937e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3440000000000002 y2[1] (analytic) = 1.337255432853706 y2[1] (numeric) = 1.337255432853705 absolute error = 1.110223024625157e-15 relative error = 8.302250993708344e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.337255432853706 y1[1] (numeric) = 1.337255432853705 absolute error = 1.110223024625157e-15 relative error = 8.302250993708344e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3450000000000002 y2[1] (analytic) = 1.338196677247792 y2[1] (numeric) = 1.33819667724779 absolute error = 1.332267629550188e-15 relative error = 9.955693749667667e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.338196677247792 y1[1] (numeric) = 1.33819667724779 absolute error = 1.332267629550188e-15 relative error = 9.955693749667667e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3460000000000002 y2[1] (analytic) = 1.339137583445227 y2[1] (numeric) = 1.339137583445226 absolute error = 1.110223024625157e-15 relative error = 8.29058222508297e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.339137583445227 y1[1] (numeric) = 1.339137583445226 absolute error = 1.110223024625157e-15 relative error = 8.29058222508297e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3470000000000002 y2[1] (analytic) = 1.340078150505108 y2[1] (numeric) = 1.340078150505107 absolute error = 1.110223024625157e-15 relative error = 8.284763274490269e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.340078150505108 y1[1] (numeric) = 1.340078150505107 absolute error = 1.110223024625157e-15 relative error = 8.284763274490269e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3480000000000002 y2[1] (analytic) = 1.341018377486867 y2[1] (numeric) = 1.341018377486866 absolute error = 1.110223024625157e-15 relative error = 8.278954586034591e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.341018377486867 y1[1] (numeric) = 1.341018377486866 absolute error = 1.110223024625157e-15 relative error = 8.278954586034591e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3490000000000002 y2[1] (analytic) = 1.341958263450277 y2[1] (numeric) = 1.341958263450276 absolute error = 1.110223024625157e-15 relative error = 8.273156139526192e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.341958263450277 y1[1] (numeric) = 1.341958263450276 absolute error = 1.110223024625157e-15 relative error = 8.273156139526192e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y2[1] (analytic) = 1.342897807455452 y2[1] (numeric) = 1.342897807455451 absolute error = 1.110223024625157e-15 relative error = 8.267367914829114e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.342897807455452 y1[1] (numeric) = 1.342897807455451 absolute error = 1.110223024625157e-15 relative error = 8.267367914829114e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3510000000000002 y2[1] (analytic) = 1.343837008562847 y2[1] (numeric) = 1.343837008562846 absolute error = 8.881784197001252e-16 relative error = 6.609271913488813e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.343837008562847 y1[1] (numeric) = 1.343837008562846 absolute error = 8.881784197001252e-16 relative error = 6.609271913488813e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3520000000000002 y2[1] (analytic) = 1.344775865833263 y2[1] (numeric) = 1.344775865833262 absolute error = 1.110223024625157e-15 relative error = 8.255822050593012e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.344775865833263 y1[1] (numeric) = 1.344775865833262 absolute error = 1.110223024625157e-15 relative error = 8.255822050593012e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3530000000000002 y2[1] (analytic) = 1.345714378327842 y2[1] (numeric) = 1.345714378327841 absolute error = 8.881784197001252e-16 relative error = 6.600051496839605e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.345714378327842 y1[1] (numeric) = 1.345714378327841 absolute error = 8.881784197001252e-16 relative error = 6.600051496839605e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3540000000000002 y2[1] (analytic) = 1.346652545108071 y2[1] (numeric) = 1.34665254510807 absolute error = 8.881784197001252e-16 relative error = 6.595453466646419e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.346652545108071 y1[1] (numeric) = 1.34665254510807 absolute error = 8.881784197001252e-16 relative error = 6.595453466646419e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3550000000000002 y2[1] (analytic) = 1.347590365235785 y2[1] (numeric) = 1.347590365235783 absolute error = 1.110223024625157e-15 relative error = 8.238579417499053e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.347590365235785 y1[1] (numeric) = 1.347590365235783 absolute error = 1.110223024625157e-15 relative error = 8.238579417499053e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3560000000000002 y2[1] (analytic) = 1.348527837773161 y2[1] (numeric) = 1.34852783777316 absolute error = 1.110223024625157e-15 relative error = 8.23285210380588e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.348527837773161 y1[1] (numeric) = 1.34852783777316 absolute error = 1.110223024625157e-15 relative error = 8.23285210380588e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3570000000000002 y2[1] (analytic) = 1.349464961782729 y2[1] (numeric) = 1.349464961782728 absolute error = 1.110223024625157e-15 relative error = 8.227134872464424e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.349464961782729 y1[1] (numeric) = 1.349464961782728 absolute error = 1.110223024625157e-15 relative error = 8.227134872464424e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3580000000000002 y2[1] (analytic) = 1.350401736327365 y2[1] (numeric) = 1.350401736327364 absolute error = 1.110223024625157e-15 relative error = 8.221427703763081e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.350401736327365 y1[1] (numeric) = 1.350401736327364 absolute error = 1.110223024625157e-15 relative error = 8.221427703763081e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3590000000000002 y2[1] (analytic) = 1.351338160470293 y2[1] (numeric) = 1.351338160470292 absolute error = 8.881784197001252e-16 relative error = 6.572584462434046e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.351338160470293 y1[1] (numeric) = 1.351338160470292 absolute error = 8.881784197001252e-16 relative error = 6.572584462434046e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y2[1] (analytic) = 1.35227423327509 y2[1] (numeric) = 1.352274233275089 absolute error = 8.881784197001252e-16 relative error = 6.568034780556565e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.35227423327509 y1[1] (numeric) = 1.352274233275089 absolute error = 8.881784197001252e-16 relative error = 6.568034780556565e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3610000000000002 y2[1] (analytic) = 1.353209953805683 y2[1] (numeric) = 1.353209953805682 absolute error = 1.110223024625157e-15 relative error = 8.204366377167375e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.353209953805683 y1[1] (numeric) = 1.353209953805682 absolute error = 1.110223024625157e-15 relative error = 8.204366377167375e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3620000000000002 y2[1] (analytic) = 1.354145321126352 y2[1] (numeric) = 1.354145321126351 absolute error = 8.881784197001252e-16 relative error = 6.558959410363398e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.354145321126352 y1[1] (numeric) = 1.354145321126351 absolute error = 8.881784197001252e-16 relative error = 6.558959410363398e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3630000000000002 y2[1] (analytic) = 1.355080334301729 y2[1] (numeric) = 1.355080334301728 absolute error = 8.881784197001252e-16 relative error = 6.554433690883738e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.355080334301729 y1[1] (numeric) = 1.355080334301728 absolute error = 8.881784197001252e-16 relative error = 6.554433690883738e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3640000000000002 y2[1] (analytic) = 1.356014992396802 y2[1] (numeric) = 1.356014992396801 absolute error = 1.110223024625157e-15 relative error = 8.187394909718514e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.356014992396802 y1[1] (numeric) = 1.356014992396801 absolute error = 1.110223024625157e-15 relative error = 8.187394909718514e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3650000000000002 y2[1] (analytic) = 1.356949294476911 y2[1] (numeric) = 1.356949294476911 absolute error = 8.881784197001252e-16 relative error = 6.545406105557599e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.356949294476911 y1[1] (numeric) = 1.356949294476911 absolute error = 8.881784197001252e-16 relative error = 6.545406105557599e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3660000000000002 y2[1] (analytic) = 1.357883239607757 y2[1] (numeric) = 1.357883239607756 absolute error = 1.110223024625157e-15 relative error = 8.176130260992542e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.357883239607757 y1[1] (numeric) = 1.357883239607756 absolute error = 1.110223024625157e-15 relative error = 8.176130260992542e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3670000000000002 y2[1] (analytic) = 1.358816826855392 y2[1] (numeric) = 1.358816826855391 absolute error = 1.110223024625157e-15 relative error = 8.170512777608609e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.358816826855392 y1[1] (numeric) = 1.358816826855391 absolute error = 1.110223024625157e-15 relative error = 8.170512777608609e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3680000000000002 y2[1] (analytic) = 1.35975005528623 y2[1] (numeric) = 1.359750055286229 absolute error = 8.881784197001252e-16 relative error = 6.531924130079641e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.35975005528623 y1[1] (numeric) = 1.359750055286229 absolute error = 8.881784197001252e-16 relative error = 6.531924130079641e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3690000000000002 y2[1] (analytic) = 1.360682923967043 y2[1] (numeric) = 1.360682923967042 absolute error = 8.881784197001252e-16 relative error = 6.527445917456355e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.360682923967043 y1[1] (numeric) = 1.360682923967042 absolute error = 8.881784197001252e-16 relative error = 6.527445917456355e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y2[1] (analytic) = 1.361615431964962 y2[1] (numeric) = 1.361615431964961 absolute error = 1.110223024625157e-15 relative error = 8.153719461176946e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.361615431964962 y1[1] (numeric) = 1.361615431964961 absolute error = 1.110223024625157e-15 relative error = 8.153719461176946e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3710000000000002 y2[1] (analytic) = 1.362547578347479 y2[1] (numeric) = 1.362547578347478 absolute error = 1.110223024625157e-15 relative error = 8.148141336625131e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.362547578347479 y1[1] (numeric) = 1.362547578347478 absolute error = 1.110223024625157e-15 relative error = 8.148141336625131e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3720000000000002 y2[1] (analytic) = 1.363479362182449 y2[1] (numeric) = 1.363479362182447 absolute error = 1.110223024625157e-15 relative error = 8.142573004171342e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.363479362182449 y1[1] (numeric) = 1.363479362182447 absolute error = 1.110223024625157e-15 relative error = 8.142573004171342e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3730000000000002 y2[1] (analytic) = 1.364410782538086 y2[1] (numeric) = 1.364410782538085 absolute error = 1.110223024625157e-15 relative error = 8.137014444872039e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.364410782538086 y1[1] (numeric) = 1.364410782538085 absolute error = 1.110223024625157e-15 relative error = 8.137014444872039e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3740000000000002 y2[1] (analytic) = 1.365341838482971 y2[1] (numeric) = 1.36534183848297 absolute error = 1.110223024625157e-15 relative error = 8.131465639833638e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.365341838482971 y1[1] (numeric) = 1.36534183848297 absolute error = 1.110223024625157e-15 relative error = 8.131465639833638e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3750000000000002 y2[1] (analytic) = 1.366272529086048 y2[1] (numeric) = 1.366272529086047 absolute error = 1.110223024625157e-15 relative error = 8.125926570212368e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.366272529086048 y1[1] (numeric) = 1.366272529086047 absolute error = 1.110223024625157e-15 relative error = 8.125926570212368e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3760000000000002 y2[1] (analytic) = 1.367202853416626 y2[1] (numeric) = 1.367202853416625 absolute error = 1.110223024625157e-15 relative error = 8.120397217214111e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.367202853416626 y1[1] (numeric) = 1.367202853416625 absolute error = 1.110223024625157e-15 relative error = 8.120397217214111e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3770000000000002 y2[1] (analytic) = 1.368132810544382 y2[1] (numeric) = 1.368132810544381 absolute error = 8.881784197001252e-16 relative error = 6.491902049675411e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.368132810544382 y1[1] (numeric) = 1.368132810544381 absolute error = 8.881784197001252e-16 relative error = 6.491902049675411e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3780000000000002 y2[1] (analytic) = 1.369062399539358 y2[1] (numeric) = 1.369062399539357 absolute error = 8.881784197001252e-16 relative error = 6.487494068926053e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.369062399539358 y1[1] (numeric) = 1.369062399539357 absolute error = 8.881784197001252e-16 relative error = 6.487494068926053e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3790000000000002 y2[1] (analytic) = 1.369991619471965 y2[1] (numeric) = 1.369991619471964 absolute error = 8.881784197001252e-16 relative error = 6.483093816606379e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.369991619471965 y1[1] (numeric) = 1.369991619471964 absolute error = 8.881784197001252e-16 relative error = 6.483093816606379e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y2[1] (analytic) = 1.370920469412983 y2[1] (numeric) = 1.370920469412982 absolute error = 8.881784197001252e-16 relative error = 6.478701277838795e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.370920469412983 y1[1] (numeric) = 1.370920469412982 absolute error = 8.881784197001252e-16 relative error = 6.478701277838795e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3810000000000002 y2[1] (analytic) = 1.371848948433563 y2[1] (numeric) = 1.371848948433562 absolute error = 8.881784197001252e-16 relative error = 6.474316437784833e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.371848948433563 y1[1] (numeric) = 1.371848948433562 absolute error = 8.881784197001252e-16 relative error = 6.474316437784833e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3820000000000002 y2[1] (analytic) = 1.372777055605225 y2[1] (numeric) = 1.372777055605224 absolute error = 6.661338147750939e-16 relative error = 4.852454461233775e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.372777055605225 y1[1] (numeric) = 1.372777055605224 absolute error = 6.661338147750939e-16 relative error = 4.852454461233775e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3830000000000002 y2[1] (analytic) = 1.373704789999863 y2[1] (numeric) = 1.373704789999862 absolute error = 6.661338147750939e-16 relative error = 4.849177345994116e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.373704789999863 y1[1] (numeric) = 1.373704789999862 absolute error = 6.661338147750939e-16 relative error = 4.849177345994116e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3840000000000002 y2[1] (analytic) = 1.374632150689742 y2[1] (numeric) = 1.374632150689741 absolute error = 6.661338147750939e-16 relative error = 4.845905971578298e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.374632150689742 y1[1] (numeric) = 1.374632150689741 absolute error = 6.661338147750939e-16 relative error = 4.845905971578298e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3850000000000002 y2[1] (analytic) = 1.375559136747502 y2[1] (numeric) = 1.375559136747501 absolute error = 8.881784197001252e-16 relative error = 6.456853769298613e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.375559136747502 y1[1] (numeric) = 1.375559136747501 absolute error = 8.881784197001252e-16 relative error = 6.456853769298613e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3860000000000002 y2[1] (analytic) = 1.376485747246156 y2[1] (numeric) = 1.376485747246155 absolute error = 8.881784197001252e-16 relative error = 6.452507201596858e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.376485747246156 y1[1] (numeric) = 1.376485747246155 absolute error = 8.881784197001252e-16 relative error = 6.452507201596858e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3870000000000002 y2[1] (analytic) = 1.377411981259094 y2[1] (numeric) = 1.377411981259093 absolute error = 8.881784197001252e-16 relative error = 6.448168244392941e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.377411981259094 y1[1] (numeric) = 1.377411981259093 absolute error = 8.881784197001252e-16 relative error = 6.448168244392941e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3880000000000002 y2[1] (analytic) = 1.378337837860082 y2[1] (numeric) = 1.378337837860081 absolute error = 8.881784197001252e-16 relative error = 6.443836883118971e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.378337837860082 y1[1] (numeric) = 1.378337837860081 absolute error = 8.881784197001252e-16 relative error = 6.443836883118971e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3890000000000002 y2[1] (analytic) = 1.379263316123264 y2[1] (numeric) = 1.379263316123263 absolute error = 8.881784197001252e-16 relative error = 6.439513103245248e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.379263316123264 y1[1] (numeric) = 1.379263316123263 absolute error = 8.881784197001252e-16 relative error = 6.439513103245248e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y2[1] (analytic) = 1.380188415123162 y2[1] (numeric) = 1.380188415123161 absolute error = 8.881784197001252e-16 relative error = 6.435196890280146e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.380188415123162 y1[1] (numeric) = 1.380188415123161 absolute error = 8.881784197001252e-16 relative error = 6.435196890280146e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3910000000000002 y2[1] (analytic) = 1.381113133934676 y2[1] (numeric) = 1.381113133934675 absolute error = 1.110223024625157e-15 relative error = 8.038610287212489e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.381113133934676 y1[1] (numeric) = 1.381113133934675 absolute error = 1.110223024625157e-15 relative error = 8.038610287212489e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3920000000000002 y2[1] (analytic) = 1.382037471633088 y2[1] (numeric) = 1.382037471633087 absolute error = 1.110223024625157e-15 relative error = 8.0332338841237e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.382037471633088 y1[1] (numeric) = 1.382037471633087 absolute error = 1.110223024625157e-15 relative error = 8.0332338841237e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3930000000000002 y2[1] (analytic) = 1.38296142729406 y2[1] (numeric) = 1.382961427294059 absolute error = 1.110223024625157e-15 relative error = 8.027866885611187e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.38296142729406 y1[1] (numeric) = 1.382961427294059 absolute error = 1.110223024625157e-15 relative error = 8.027866885611187e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3940000000000002 y2[1] (analytic) = 1.383884999993636 y2[1] (numeric) = 1.383884999993635 absolute error = 1.110223024625157e-15 relative error = 8.022509273749348e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.383884999993636 y1[1] (numeric) = 1.383884999993635 absolute error = 1.110223024625157e-15 relative error = 8.022509273749348e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3950000000000002 y2[1] (analytic) = 1.384808188808245 y2[1] (numeric) = 1.384808188808244 absolute error = 1.110223024625157e-15 relative error = 8.017161030659455e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.384808188808245 y1[1] (numeric) = 1.384808188808244 absolute error = 1.110223024625157e-15 relative error = 8.017161030659455e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3960000000000002 y2[1] (analytic) = 1.385730992814697 y2[1] (numeric) = 1.385730992814696 absolute error = 1.110223024625157e-15 relative error = 8.011822138509518e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.385730992814697 y1[1] (numeric) = 1.385730992814696 absolute error = 1.110223024625157e-15 relative error = 8.011822138509518e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3970000000000002 y2[1] (analytic) = 1.386653411090188 y2[1] (numeric) = 1.386653411090187 absolute error = 1.110223024625157e-15 relative error = 8.00649257951414e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.386653411090188 y1[1] (numeric) = 1.386653411090187 absolute error = 1.110223024625157e-15 relative error = 8.00649257951414e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3980000000000002 y2[1] (analytic) = 1.387575442712301 y2[1] (numeric) = 1.3875754427123 absolute error = 1.332267629550188e-15 relative error = 9.601406803121257e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.387575442712301 y1[1] (numeric) = 1.3875754427123 absolute error = 1.332267629550188e-15 relative error = 9.601406803121257e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.3990000000000002 y2[1] (analytic) = 1.388497086759003 y2[1] (numeric) = 1.388497086759002 absolute error = 1.110223024625157e-15 relative error = 7.995861390077618e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.388497086759003 y1[1] (numeric) = 1.388497086759002 absolute error = 1.110223024625157e-15 relative error = 7.995861390077618e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y2[1] (analytic) = 1.389418342308651 y2[1] (numeric) = 1.389418342308649 absolute error = 1.332267629550188e-15 relative error = 9.588671669156882e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.389418342308651 y1[1] (numeric) = 1.389418342308649 absolute error = 1.332267629550188e-15 relative error = 9.588671669156882e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4010000000000002 y2[1] (analytic) = 1.390339208439989 y2[1] (numeric) = 1.390339208439987 absolute error = 1.332267629550188e-15 relative error = 9.582320785191988e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.390339208439989 y1[1] (numeric) = 1.390339208439987 absolute error = 1.332267629550188e-15 relative error = 9.582320785191988e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4020000000000002 y2[1] (analytic) = 1.39125968423215 y2[1] (numeric) = 1.391259684232149 absolute error = 1.110223024625157e-15 relative error = 7.979984162610875e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.39125968423215 y1[1] (numeric) = 1.391259684232149 absolute error = 1.110223024625157e-15 relative error = 7.979984162610875e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4030000000000002 y2[1] (analytic) = 1.392179768764661 y2[1] (numeric) = 1.39217976876466 absolute error = 1.110223024625157e-15 relative error = 7.974710231641305e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.392179768764661 y1[1] (numeric) = 1.39217976876466 absolute error = 1.110223024625157e-15 relative error = 7.974710231641305e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4040000000000002 y2[1] (analytic) = 1.393099461117435 y2[1] (numeric) = 1.393099461117434 absolute error = 1.110223024625157e-15 relative error = 7.969445510621496e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.393099461117435 y1[1] (numeric) = 1.393099461117434 absolute error = 1.110223024625157e-15 relative error = 7.969445510621496e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4050000000000002 y2[1] (analytic) = 1.394018760370781 y2[1] (numeric) = 1.394018760370779 absolute error = 1.332267629550188e-15 relative error = 9.557027978560573e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.394018760370781 y1[1] (numeric) = 1.394018760370779 absolute error = 1.332267629550188e-15 relative error = 9.557027978560573e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4060000000000002 y2[1] (analytic) = 1.394937665605399 y2[1] (numeric) = 1.394937665605398 absolute error = 1.110223024625157e-15 relative error = 7.958943628805972e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.394937665605399 y1[1] (numeric) = 1.394937665605398 absolute error = 1.110223024625157e-15 relative error = 7.958943628805972e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4070000000000003 y2[1] (analytic) = 1.395856175902384 y2[1] (numeric) = 1.395856175902383 absolute error = 1.110223024625157e-15 relative error = 7.953706433310913e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.395856175902384 y1[1] (numeric) = 1.395856175902383 absolute error = 1.110223024625157e-15 relative error = 7.953706433310913e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4080000000000003 y2[1] (analytic) = 1.396774290343227 y2[1] (numeric) = 1.396774290343226 absolute error = 1.110223024625157e-15 relative error = 7.948478378366652e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.396774290343227 y1[1] (numeric) = 1.396774290343226 absolute error = 1.110223024625157e-15 relative error = 7.948478378366652e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4090000000000003 y2[1] (analytic) = 1.397692008009813 y2[1] (numeric) = 1.397692008009811 absolute error = 1.110223024625157e-15 relative error = 7.943259446736152e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.397692008009813 y1[1] (numeric) = 1.397692008009811 absolute error = 1.110223024625157e-15 relative error = 7.943259446736152e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y2[1] (analytic) = 1.398609327984423 y2[1] (numeric) = 1.398609327984422 absolute error = 1.332267629550188e-15 relative error = 9.525659545472629e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.398609327984423 y1[1] (numeric) = 1.398609327984422 absolute error = 1.332267629550188e-15 relative error = 9.525659545472629e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4110000000000003 y2[1] (analytic) = 1.399526249349739 y2[1] (numeric) = 1.399526249349738 absolute error = 1.332267629550188e-15 relative error = 9.519418661630667e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.399526249349739 y1[1] (numeric) = 1.399526249349738 absolute error = 1.332267629550188e-15 relative error = 9.519418661630667e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4120000000000003 y2[1] (analytic) = 1.400442771188839 y2[1] (numeric) = 1.400442771188837 absolute error = 1.332267629550188e-15 relative error = 9.513188664033899e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.400442771188839 y1[1] (numeric) = 1.400442771188837 absolute error = 1.332267629550188e-15 relative error = 9.513188664033899e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4130000000000003 y2[1] (analytic) = 1.401358892585201 y2[1] (numeric) = 1.401358892585199 absolute error = 1.332267629550188e-15 relative error = 9.50696953221202e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.401358892585201 y1[1] (numeric) = 1.401358892585199 absolute error = 1.332267629550188e-15 relative error = 9.50696953221202e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4140000000000003 y2[1] (analytic) = 1.402274612622703 y2[1] (numeric) = 1.402274612622702 absolute error = 1.332267629550188e-15 relative error = 9.500761245747864e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.402274612622703 y1[1] (numeric) = 1.402274612622702 absolute error = 1.332267629550188e-15 relative error = 9.500761245747864e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4150000000000003 y2[1] (analytic) = 1.403189930385627 y2[1] (numeric) = 1.403189930385626 absolute error = 1.110223024625157e-15 relative error = 7.912136486897703e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.403189930385627 y1[1] (numeric) = 1.403189930385626 absolute error = 1.110223024625157e-15 relative error = 7.912136486897703e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4160000000000003 y2[1] (analytic) = 1.404104844958654 y2[1] (numeric) = 1.404104844958653 absolute error = 1.110223024625157e-15 relative error = 7.906980939573989e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.404104844958654 y1[1] (numeric) = 1.404104844958653 absolute error = 1.110223024625157e-15 relative error = 7.906980939573989e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4170000000000003 y2[1] (analytic) = 1.405019355426869 y2[1] (numeric) = 1.405019355426868 absolute error = 1.110223024625157e-15 relative error = 7.901834379269826e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.405019355426869 y1[1] (numeric) = 1.405019355426868 absolute error = 1.110223024625157e-15 relative error = 7.901834379269826e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4180000000000003 y2[1] (analytic) = 1.405933460875763 y2[1] (numeric) = 1.405933460875762 absolute error = 1.110223024625157e-15 relative error = 7.896696789146713e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.405933460875763 y1[1] (numeric) = 1.405933460875762 absolute error = 1.110223024625157e-15 relative error = 7.896696789146713e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4190000000000003 y2[1] (analytic) = 1.40684716039123 y2[1] (numeric) = 1.406847160391229 absolute error = 1.110223024625157e-15 relative error = 7.891568152409781e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.40684716039123 y1[1] (numeric) = 1.406847160391229 absolute error = 1.110223024625157e-15 relative error = 7.891568152409781e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y2[1] (analytic) = 1.40776045305957 y2[1] (numeric) = 1.407760453059569 absolute error = 1.110223024625157e-15 relative error = 7.886448452307651e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.40776045305957 y1[1] (numeric) = 1.407760453059569 absolute error = 1.110223024625157e-15 relative error = 7.886448452307651e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4210000000000003 y2[1] (analytic) = 1.408673337967492 y2[1] (numeric) = 1.408673337967491 absolute error = 1.110223024625157e-15 relative error = 7.881337672132313e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.408673337967492 y1[1] (numeric) = 1.408673337967491 absolute error = 1.110223024625157e-15 relative error = 7.881337672132313e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4220000000000003 y2[1] (analytic) = 1.409585814202109 y2[1] (numeric) = 1.409585814202108 absolute error = 1.332267629550188e-15 relative error = 9.451482954262796e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.409585814202109 y1[1] (numeric) = 1.409585814202108 absolute error = 1.332267629550188e-15 relative error = 9.451482954262796e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4230000000000003 y2[1] (analytic) = 1.410497880850946 y2[1] (numeric) = 1.410497880850945 absolute error = 1.110223024625157e-15 relative error = 7.871142804946041e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.410497880850946 y1[1] (numeric) = 1.410497880850945 absolute error = 1.110223024625157e-15 relative error = 7.871142804946041e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4240000000000003 y2[1] (analytic) = 1.411409537001937 y2[1] (numeric) = 1.411409537001936 absolute error = 1.110223024625157e-15 relative error = 7.866058684734768e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.411409537001937 y1[1] (numeric) = 1.411409537001936 absolute error = 1.110223024625157e-15 relative error = 7.866058684734768e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4250000000000003 y2[1] (analytic) = 1.412320781743425 y2[1] (numeric) = 1.412320781743424 absolute error = 1.110223024625157e-15 relative error = 7.860983418049356e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.412320781743425 y1[1] (numeric) = 1.412320781743424 absolute error = 1.110223024625157e-15 relative error = 7.860983418049356e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4260000000000003 y2[1] (analytic) = 1.413231614164166 y2[1] (numeric) = 1.413231614164164 absolute error = 1.332267629550188e-15 relative error = 9.427100386076045e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.413231614164166 y1[1] (numeric) = 1.413231614164164 absolute error = 1.332267629550188e-15 relative error = 9.427100386076045e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4270000000000003 y2[1] (analytic) = 1.414142033353326 y2[1] (numeric) = 1.414142033353325 absolute error = 1.110223024625157e-15 relative error = 7.850859379326327e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.414142033353326 y1[1] (numeric) = 1.414142033353325 absolute error = 1.110223024625157e-15 relative error = 7.850859379326327e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4280000000000003 y2[1] (analytic) = 1.415052038400488 y2[1] (numeric) = 1.415052038400487 absolute error = 1.110223024625157e-15 relative error = 7.845810574430204e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.415052038400488 y1[1] (numeric) = 1.415052038400487 absolute error = 1.110223024625157e-15 relative error = 7.845810574430204e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4290000000000003 y2[1] (analytic) = 1.415961628395647 y2[1] (numeric) = 1.415961628395645 absolute error = 1.332267629550188e-15 relative error = 9.408924668811201e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.415961628395647 y1[1] (numeric) = 1.415961628395645 absolute error = 1.332267629550188e-15 relative error = 9.408924668811201e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y2[1] (analytic) = 1.416870802429211 y2[1] (numeric) = 1.41687080242921 absolute error = 1.110223024625157e-15 relative error = 7.835739311740281e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.416870802429211 y1[1] (numeric) = 1.41687080242921 absolute error = 1.110223024625157e-15 relative error = 7.835739311740281e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4310000000000003 y2[1] (analytic) = 1.417779559592008 y2[1] (numeric) = 1.417779559592007 absolute error = 1.110223024625157e-15 relative error = 7.830716821341702e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.417779559592008 y1[1] (numeric) = 1.417779559592007 absolute error = 1.110223024625157e-15 relative error = 7.830716821341702e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4320000000000003 y2[1] (analytic) = 1.41868789897528 y2[1] (numeric) = 1.418687898975279 absolute error = 1.110223024625157e-15 relative error = 7.825703069907569e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.41868789897528 y1[1] (numeric) = 1.418687898975279 absolute error = 1.110223024625157e-15 relative error = 7.825703069907569e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4330000000000003 y2[1] (analytic) = 1.419595819670688 y2[1] (numeric) = 1.419595819670687 absolute error = 1.110223024625157e-15 relative error = 7.82069804124037e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.419595819670688 y1[1] (numeric) = 1.419595819670687 absolute error = 1.110223024625157e-15 relative error = 7.82069804124037e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4340000000000003 y2[1] (analytic) = 1.420503320770311 y2[1] (numeric) = 1.42050332077031 absolute error = 1.110223024625157e-15 relative error = 7.815701719184328e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.420503320770311 y1[1] (numeric) = 1.42050332077031 absolute error = 1.110223024625157e-15 relative error = 7.815701719184328e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4350000000000003 y2[1] (analytic) = 1.421410401366648 y2[1] (numeric) = 1.421410401366647 absolute error = 1.110223024625157e-15 relative error = 7.810714087625268e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.421410401366648 y1[1] (numeric) = 1.421410401366647 absolute error = 1.110223024625157e-15 relative error = 7.810714087625268e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4360000000000003 y2[1] (analytic) = 1.422317060552619 y2[1] (numeric) = 1.422317060552618 absolute error = 1.110223024625157e-15 relative error = 7.8057351304905e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.422317060552619 y1[1] (numeric) = 1.422317060552618 absolute error = 1.110223024625157e-15 relative error = 7.8057351304905e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4370000000000003 y2[1] (analytic) = 1.423223297421565 y2[1] (numeric) = 1.423223297421564 absolute error = 1.110223024625157e-15 relative error = 7.800764831748699e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.423223297421565 y1[1] (numeric) = 1.423223297421564 absolute error = 1.110223024625157e-15 relative error = 7.800764831748699e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4380000000000003 y2[1] (analytic) = 1.424129111067249 y2[1] (numeric) = 1.424129111067248 absolute error = 1.332267629550188e-15 relative error = 9.354963810491733e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.424129111067249 y1[1] (numeric) = 1.424129111067248 absolute error = 1.332267629550188e-15 relative error = 9.354963810491733e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4390000000000003 y2[1] (analytic) = 1.425034500583857 y2[1] (numeric) = 1.425034500583856 absolute error = 1.110223024625157e-15 relative error = 7.790850145524775e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.425034500583857 y1[1] (numeric) = 1.425034500583856 absolute error = 1.110223024625157e-15 relative error = 7.790850145524775e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y2[1] (analytic) = 1.425939465066 y2[1] (numeric) = 1.425939465065999 absolute error = 1.110223024625157e-15 relative error = 7.785905726185717e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.425939465066 y1[1] (numeric) = 1.425939465065999 absolute error = 1.110223024625157e-15 relative error = 7.785905726185717e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4410000000000003 y2[1] (analytic) = 1.426844003608713 y2[1] (numeric) = 1.426844003608712 absolute error = 1.110223024625157e-15 relative error = 7.780969901525519e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.426844003608713 y1[1] (numeric) = 1.426844003608712 absolute error = 1.110223024625157e-15 relative error = 7.780969901525519e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4420000000000003 y2[1] (analytic) = 1.427748115307458 y2[1] (numeric) = 1.427748115307457 absolute error = 1.110223024625157e-15 relative error = 7.776042655717852e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.427748115307458 y1[1] (numeric) = 1.427748115307457 absolute error = 1.110223024625157e-15 relative error = 7.776042655717852e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4430000000000003 y2[1] (analytic) = 1.428651799258124 y2[1] (numeric) = 1.428651799258123 absolute error = 1.110223024625157e-15 relative error = 7.771123972977024e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.428651799258124 y1[1] (numeric) = 1.428651799258123 absolute error = 1.110223024625157e-15 relative error = 7.771123972977024e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4440000000000003 y2[1] (analytic) = 1.429555054557026 y2[1] (numeric) = 1.429555054557025 absolute error = 1.332267629550188e-15 relative error = 9.31945660506944e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.429555054557026 y1[1] (numeric) = 1.429555054557025 absolute error = 1.332267629550188e-15 relative error = 9.31945660506944e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4450000000000003 y2[1] (analytic) = 1.430457880300909 y2[1] (numeric) = 1.430457880300908 absolute error = 1.332267629550188e-15 relative error = 9.313574680506733e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.430457880300909 y1[1] (numeric) = 1.430457880300908 absolute error = 1.332267629550188e-15 relative error = 9.313574680506733e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4460000000000003 y2[1] (analytic) = 1.431360275586948 y2[1] (numeric) = 1.431360275586947 absolute error = 1.332267629550188e-15 relative error = 9.307702975086927e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.431360275586948 y1[1] (numeric) = 1.431360275586947 absolute error = 1.332267629550188e-15 relative error = 9.307702975086927e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4470000000000003 y2[1] (analytic) = 1.432262239512747 y2[1] (numeric) = 1.432262239512746 absolute error = 1.332267629550188e-15 relative error = 9.301841470060837e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.432262239512747 y1[1] (numeric) = 1.432262239512746 absolute error = 1.332267629550188e-15 relative error = 9.301841470060837e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4480000000000003 y2[1] (analytic) = 1.433163771176343 y2[1] (numeric) = 1.433163771176341 absolute error = 1.332267629550188e-15 relative error = 9.29599014672734e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.433163771176343 y1[1] (numeric) = 1.433163771176341 absolute error = 1.332267629550188e-15 relative error = 9.29599014672734e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4490000000000003 y2[1] (analytic) = 1.434064869676203 y2[1] (numeric) = 1.434064869676202 absolute error = 1.332267629550188e-15 relative error = 9.290148986433228e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.434064869676203 y1[1] (numeric) = 1.434064869676202 absolute error = 1.332267629550188e-15 relative error = 9.290148986433228e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y2[1] (analytic) = 1.43496553411123 y2[1] (numeric) = 1.434965534111229 absolute error = 1.332267629550188e-15 relative error = 9.284317970573069e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.43496553411123 y1[1] (numeric) = 1.434965534111229 absolute error = 1.332267629550188e-15 relative error = 9.284317970573069e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4510000000000003 y2[1] (analytic) = 1.43586576358076 y2[1] (numeric) = 1.435865763580758 absolute error = 1.332267629550188e-15 relative error = 9.278497080589073e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.43586576358076 y1[1] (numeric) = 1.435865763580758 absolute error = 1.332267629550188e-15 relative error = 9.278497080589073e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4520000000000003 y2[1] (analytic) = 1.436765557184562 y2[1] (numeric) = 1.43676555718456 absolute error = 1.332267629550188e-15 relative error = 9.272686297970948e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.436765557184562 y1[1] (numeric) = 1.43676555718456 absolute error = 1.332267629550188e-15 relative error = 9.272686297970948e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4530000000000003 y2[1] (analytic) = 1.437664914022843 y2[1] (numeric) = 1.437664914022841 absolute error = 1.332267629550188e-15 relative error = 9.266885604255761e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.437664914022843 y1[1] (numeric) = 1.437664914022841 absolute error = 1.332267629550188e-15 relative error = 9.266885604255761e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4540000000000003 y2[1] (analytic) = 1.438563833196246 y2[1] (numeric) = 1.438563833196245 absolute error = 1.332267629550188e-15 relative error = 9.261094981027805e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.438563833196246 y1[1] (numeric) = 1.438563833196245 absolute error = 1.332267629550188e-15 relative error = 9.261094981027805e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4550000000000003 y2[1] (analytic) = 1.439462313805854 y2[1] (numeric) = 1.439462313805852 absolute error = 1.332267629550188e-15 relative error = 9.255314409918456e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.439462313805854 y1[1] (numeric) = 1.439462313805852 absolute error = 1.332267629550188e-15 relative error = 9.255314409918456e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4560000000000003 y2[1] (analytic) = 1.440360354953183 y2[1] (numeric) = 1.440360354953182 absolute error = 1.332267629550188e-15 relative error = 9.249543872606041e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.440360354953183 y1[1] (numeric) = 1.440360354953182 absolute error = 1.332267629550188e-15 relative error = 9.249543872606041e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4570000000000003 y2[1] (analytic) = 1.441257955740195 y2[1] (numeric) = 1.441257955740194 absolute error = 1.110223024625157e-15 relative error = 7.703152792346414e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.441257955740195 y1[1] (numeric) = 1.441257955740194 absolute error = 1.110223024625157e-15 relative error = 7.703152792346414e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4580000000000003 y2[1] (analytic) = 1.442155115269288 y2[1] (numeric) = 1.442155115269286 absolute error = 1.332267629550188e-15 relative error = 9.238032826319236e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.442155115269288 y1[1] (numeric) = 1.442155115269286 absolute error = 1.332267629550188e-15 relative error = 9.238032826319236e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4590000000000003 y2[1] (analytic) = 1.443051832643302 y2[1] (numeric) = 1.4430518326433 absolute error = 1.110223024625157e-15 relative error = 7.693576900779178e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.443051832643302 y1[1] (numeric) = 1.4430518326433 absolute error = 1.110223024625157e-15 relative error = 7.693576900779178e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y2[1] (analytic) = 1.44394810696552 y2[1] (numeric) = 1.443948106965519 absolute error = 1.110223024625157e-15 relative error = 7.688801413773159e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.44394810696552 y1[1] (numeric) = 1.443948106965519 absolute error = 1.110223024625157e-15 relative error = 7.688801413773159e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4610000000000003 y2[1] (analytic) = 1.444843937339668 y2[1] (numeric) = 1.444843937339667 absolute error = 1.110223024625157e-15 relative error = 7.684034212507162e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.444843937339668 y1[1] (numeric) = 1.444843937339667 absolute error = 1.110223024625157e-15 relative error = 7.684034212507162e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4620000000000003 y2[1] (analytic) = 1.445739322869917 y2[1] (numeric) = 1.445739322869916 absolute error = 1.110223024625157e-15 relative error = 7.679275281945493e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.445739322869917 y1[1] (numeric) = 1.445739322869916 absolute error = 1.110223024625157e-15 relative error = 7.679275281945493e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4630000000000003 y2[1] (analytic) = 1.446634262660879 y2[1] (numeric) = 1.446634262660878 absolute error = 1.110223024625157e-15 relative error = 7.674524607090794e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.446634262660879 y1[1] (numeric) = 1.446634262660878 absolute error = 1.110223024625157e-15 relative error = 7.674524607090794e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4640000000000003 y2[1] (analytic) = 1.447528755817616 y2[1] (numeric) = 1.447528755817615 absolute error = 1.110223024625157e-15 relative error = 7.669782172983933e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.447528755817616 y1[1] (numeric) = 1.447528755817615 absolute error = 1.110223024625157e-15 relative error = 7.669782172983933e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4650000000000003 y2[1] (analytic) = 1.448422801445635 y2[1] (numeric) = 1.448422801445634 absolute error = 1.110223024625157e-15 relative error = 7.665047964703888e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.448422801445635 y1[1] (numeric) = 1.448422801445634 absolute error = 1.110223024625157e-15 relative error = 7.665047964703888e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4660000000000003 y2[1] (analytic) = 1.449316398650889 y2[1] (numeric) = 1.449316398650888 absolute error = 1.332267629550188e-15 relative error = 9.192386360841171e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.449316398650889 y1[1] (numeric) = 1.449316398650888 absolute error = 1.332267629550188e-15 relative error = 9.192386360841171e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4670000000000003 y2[1] (analytic) = 1.450209546539782 y2[1] (numeric) = 1.450209546539781 absolute error = 1.332267629550188e-15 relative error = 9.186724999356091e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.450209546539782 y1[1] (numeric) = 1.450209546539781 absolute error = 1.332267629550188e-15 relative error = 9.186724999356091e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4680000000000003 y2[1] (analytic) = 1.451102244219167 y2[1] (numeric) = 1.451102244219165 absolute error = 1.332267629550188e-15 relative error = 9.181073455420619e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.451102244219167 y1[1] (numeric) = 1.451102244219165 absolute error = 1.332267629550188e-15 relative error = 9.181073455420619e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4690000000000003 y2[1] (analytic) = 1.451994490796344 y2[1] (numeric) = 1.451994490796343 absolute error = 1.110223024625157e-15 relative error = 7.646193092759302e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.451994490796344 y1[1] (numeric) = 1.451994490796343 absolute error = 1.110223024625157e-15 relative error = 7.646193092759302e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y2[1] (analytic) = 1.452886285379068 y2[1] (numeric) = 1.452886285379067 absolute error = 1.110223024625157e-15 relative error = 7.641499791124336e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.452886285379068 y1[1] (numeric) = 1.452886285379067 absolute error = 1.110223024625157e-15 relative error = 7.641499791124336e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4710000000000003 y2[1] (analytic) = 1.453777627075545 y2[1] (numeric) = 1.453777627075544 absolute error = 1.110223024625157e-15 relative error = 7.636814626584317e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.453777627075545 y1[1] (numeric) = 1.453777627075544 absolute error = 1.110223024625157e-15 relative error = 7.636814626584317e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4720000000000003 y2[1] (analytic) = 1.454668514994433 y2[1] (numeric) = 1.454668514994432 absolute error = 1.110223024625157e-15 relative error = 7.632137584481956e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.454668514994433 y1[1] (numeric) = 1.454668514994432 absolute error = 1.110223024625157e-15 relative error = 7.632137584481956e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4730000000000003 y2[1] (analytic) = 1.455558948244843 y2[1] (numeric) = 1.455558948244842 absolute error = 1.110223024625157e-15 relative error = 7.627468650197209e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.455558948244843 y1[1] (numeric) = 1.455558948244842 absolute error = 1.110223024625157e-15 relative error = 7.627468650197209e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4740000000000003 y2[1] (analytic) = 1.456448925936344 y2[1] (numeric) = 1.456448925936342 absolute error = 1.110223024625157e-15 relative error = 7.622807809147168e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.456448925936344 y1[1] (numeric) = 1.456448925936342 absolute error = 1.110223024625157e-15 relative error = 7.622807809147168e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4750000000000003 y2[1] (analytic) = 1.457338447178956 y2[1] (numeric) = 1.457338447178955 absolute error = 8.881784197001252e-16 relative error = 6.094524037428762e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.457338447178956 y1[1] (numeric) = 1.457338447178955 absolute error = 8.881784197001252e-16 relative error = 6.094524037428762e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4760000000000003 y2[1] (analytic) = 1.458227511083159 y2[1] (numeric) = 1.458227511083158 absolute error = 8.881784197001252e-16 relative error = 6.090808278883683e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.458227511083159 y1[1] (numeric) = 1.458227511083158 absolute error = 8.881784197001252e-16 relative error = 6.090808278883683e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4770000000000003 y2[1] (analytic) = 1.459116116759889 y2[1] (numeric) = 1.459116116759888 absolute error = 8.881784197001252e-16 relative error = 6.087098960104784e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.459116116759889 y1[1] (numeric) = 1.459116116759888 absolute error = 8.881784197001252e-16 relative error = 6.087098960104784e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4780000000000003 y2[1] (analytic) = 1.460004263320541 y2[1] (numeric) = 1.46000426332054 absolute error = 8.881784197001252e-16 relative error = 6.083396069543719e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.460004263320541 y1[1] (numeric) = 1.46000426332054 absolute error = 8.881784197001252e-16 relative error = 6.083396069543719e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4790000000000003 y2[1] (analytic) = 1.460891949876968 y2[1] (numeric) = 1.460891949876967 absolute error = 8.881784197001252e-16 relative error = 6.079699595681426e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.460891949876968 y1[1] (numeric) = 1.460891949876967 absolute error = 8.881784197001252e-16 relative error = 6.079699595681426e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y2[1] (analytic) = 1.461779175541483 y2[1] (numeric) = 1.461779175541482 absolute error = 6.661338147750939e-16 relative error = 4.557007145271034e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.461779175541483 y1[1] (numeric) = 1.461779175541482 absolute error = 6.661338147750939e-16 relative error = 4.557007145271034e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4810000000000003 y2[1] (analytic) = 1.462665939426862 y2[1] (numeric) = 1.462665939426861 absolute error = 8.881784197001252e-16 relative error = 6.072325852122827e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.462665939426862 y1[1] (numeric) = 1.462665939426861 absolute error = 8.881784197001252e-16 relative error = 6.072325852122827e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4820000000000003 y2[1] (analytic) = 1.463552240646339 y2[1] (numeric) = 1.463552240646338 absolute error = 8.881784197001252e-16 relative error = 6.068648559534061e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.463552240646339 y1[1] (numeric) = 1.463552240646338 absolute error = 8.881784197001252e-16 relative error = 6.068648559534061e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4830000000000003 y2[1] (analytic) = 1.464438078313614 y2[1] (numeric) = 1.464438078313613 absolute error = 8.881784197001252e-16 relative error = 6.064977637858984e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.464438078313614 y1[1] (numeric) = 1.464438078313613 absolute error = 8.881784197001252e-16 relative error = 6.064977637858984e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4840000000000003 y2[1] (analytic) = 1.46532345154285 y2[1] (numeric) = 1.465323451542849 absolute error = 8.881784197001252e-16 relative error = 6.061313075723695e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.46532345154285 y1[1] (numeric) = 1.465323451542849 absolute error = 8.881784197001252e-16 relative error = 6.061313075723695e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4850000000000003 y2[1] (analytic) = 1.466208359448673 y2[1] (numeric) = 1.466208359448672 absolute error = 8.881784197001252e-16 relative error = 6.057654861783083e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.466208359448673 y1[1] (numeric) = 1.466208359448672 absolute error = 8.881784197001252e-16 relative error = 6.057654861783083e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4860000000000003 y2[1] (analytic) = 1.467092801146175 y2[1] (numeric) = 1.467092801146175 absolute error = 8.881784197001252e-16 relative error = 6.054002984720737e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.467092801146175 y1[1] (numeric) = 1.467092801146175 absolute error = 8.881784197001252e-16 relative error = 6.054002984720737e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4870000000000003 y2[1] (analytic) = 1.467976775750916 y2[1] (numeric) = 1.467976775750915 absolute error = 8.881784197001252e-16 relative error = 6.050357433248863e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.467976775750916 y1[1] (numeric) = 1.467976775750915 absolute error = 8.881784197001252e-16 relative error = 6.050357433248863e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4880000000000003 y2[1] (analytic) = 1.468860282378919 y2[1] (numeric) = 1.468860282378918 absolute error = 6.661338147750939e-16 relative error = 4.535038647081157e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.468860282378919 y1[1] (numeric) = 1.468860282378918 absolute error = 6.661338147750939e-16 relative error = 4.535038647081157e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4890000000000003 y2[1] (analytic) = 1.469743320146679 y2[1] (numeric) = 1.469743320146679 absolute error = 6.661338147750939e-16 relative error = 4.532313946550982e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.469743320146679 y1[1] (numeric) = 1.469743320146679 absolute error = 6.661338147750939e-16 relative error = 4.532313946550982e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y2[1] (analytic) = 1.470625888171158 y2[1] (numeric) = 1.470625888171158 absolute error = 6.661338147750939e-16 relative error = 4.529593964944307e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.470625888171158 y1[1] (numeric) = 1.470625888171158 absolute error = 6.661338147750939e-16 relative error = 4.529593964944307e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4910000000000003 y2[1] (analytic) = 1.471507985569789 y2[1] (numeric) = 1.471507985569788 absolute error = 8.881784197001252e-16 relative error = 6.035838258507378e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.471507985569789 y1[1] (numeric) = 1.471507985569788 absolute error = 8.881784197001252e-16 relative error = 6.035838258507378e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4920000000000003 y2[1] (analytic) = 1.472389611460472 y2[1] (numeric) = 1.472389611460472 absolute error = 8.881784197001252e-16 relative error = 6.03222416666697e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.472389611460472 y1[1] (numeric) = 1.472389611460472 absolute error = 8.881784197001252e-16 relative error = 6.03222416666697e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4930000000000003 y2[1] (analytic) = 1.473270764961584 y2[1] (numeric) = 1.473270764961583 absolute error = 8.881784197001252e-16 relative error = 6.028616333286737e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.473270764961584 y1[1] (numeric) = 1.473270764961583 absolute error = 8.881784197001252e-16 relative error = 6.028616333286737e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4940000000000003 y2[1] (analytic) = 1.47415144519197 y2[1] (numeric) = 1.47415144519197 absolute error = 8.881784197001252e-16 relative error = 6.025014747276952e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.47415144519197 y1[1] (numeric) = 1.47415144519197 absolute error = 8.881784197001252e-16 relative error = 6.025014747276952e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4950000000000003 y2[1] (analytic) = 1.475031651270951 y2[1] (numeric) = 1.47503165127095 absolute error = 1.110223024625157e-15 relative error = 7.526774246969822e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.475031651270951 y1[1] (numeric) = 1.47503165127095 absolute error = 1.110223024625157e-15 relative error = 7.526774246969822e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4960000000000003 y2[1] (analytic) = 1.47591138231832 y2[1] (numeric) = 1.475911382318319 absolute error = 1.110223024625157e-15 relative error = 7.522287841436993e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.47591138231832 y1[1] (numeric) = 1.475911382318319 absolute error = 1.110223024625157e-15 relative error = 7.522287841436993e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4970000000000003 y2[1] (analytic) = 1.476790637454346 y2[1] (numeric) = 1.476790637454345 absolute error = 1.110223024625157e-15 relative error = 7.517809203740149e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.476790637454346 y1[1] (numeric) = 1.476790637454345 absolute error = 1.110223024625157e-15 relative error = 7.517809203740149e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4980000000000003 y2[1] (analytic) = 1.477669415799775 y2[1] (numeric) = 1.477669415799774 absolute error = 1.110223024625157e-15 relative error = 7.513338320156398e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.477669415799775 y1[1] (numeric) = 1.477669415799774 absolute error = 1.110223024625157e-15 relative error = 7.513338320156398e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4990000000000003 y2[1] (analytic) = 1.478547716475827 y2[1] (numeric) = 1.478547716475826 absolute error = 1.332267629550188e-15 relative error = 9.010650212396909e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.478547716475827 y1[1] (numeric) = 1.478547716475826 absolute error = 1.332267629550188e-15 relative error = 9.010650212396909e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y2[1] (analytic) = 1.479425538604203 y2[1] (numeric) = 1.479425538604202 absolute error = 1.332267629550188e-15 relative error = 9.005303712731262e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.479425538604203 y1[1] (numeric) = 1.479425538604202 absolute error = 1.332267629550188e-15 relative error = 9.005303712731262e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5010000000000003 y2[1] (analytic) = 1.480302881307081 y2[1] (numeric) = 1.480302881307079 absolute error = 1.554312234475219e-15 relative error = 1.049996088032193e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.480302881307081 y1[1] (numeric) = 1.480302881307079 absolute error = 1.554312234475219e-15 relative error = 1.049996088032193e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5020000000000003 y2[1] (analytic) = 1.481179743707117 y2[1] (numeric) = 1.481179743707115 absolute error = 1.554312234475219e-15 relative error = 1.049374487518352e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.481179743707117 y1[1] (numeric) = 1.481179743707115 absolute error = 1.554312234475219e-15 relative error = 1.049374487518352e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5030000000000003 y2[1] (analytic) = 1.482056124927449 y2[1] (numeric) = 1.482056124927448 absolute error = 1.554312234475219e-15 relative error = 1.048753963046647e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.482056124927449 y1[1] (numeric) = 1.482056124927448 absolute error = 1.554312234475219e-15 relative error = 1.048753963046647e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5040000000000003 y2[1] (analytic) = 1.482932024091697 y2[1] (numeric) = 1.482932024091695 absolute error = 1.332267629550188e-15 relative error = 8.984010109068948e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.482932024091697 y1[1] (numeric) = 1.482932024091695 absolute error = 1.332267629550188e-15 relative error = 8.984010109068948e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5050000000000003 y2[1] (analytic) = 1.483807440323961 y2[1] (numeric) = 1.483807440323959 absolute error = 1.554312234475219e-15 relative error = 1.04751613466493e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.483807440323961 y1[1] (numeric) = 1.483807440323959 absolute error = 1.554312234475219e-15 relative error = 1.04751613466493e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5060000000000003 y2[1] (analytic) = 1.484682372748824 y2[1] (numeric) = 1.484682372748823 absolute error = 1.554312234475219e-15 relative error = 1.04689882698444e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.484682372748824 y1[1] (numeric) = 1.484682372748823 absolute error = 1.554312234475219e-15 relative error = 1.04689882698444e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5070000000000003 y2[1] (analytic) = 1.485556820491356 y2[1] (numeric) = 1.485556820491354 absolute error = 1.332267629550188e-15 relative error = 8.968136466900899e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.485556820491356 y1[1] (numeric) = 1.485556820491354 absolute error = 1.332267629550188e-15 relative error = 8.968136466900899e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5080000000000003 y2[1] (analytic) = 1.486430782677107 y2[1] (numeric) = 1.486430782677106 absolute error = 1.332267629550188e-15 relative error = 8.962863559315781e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.486430782677107 y1[1] (numeric) = 1.486430782677106 absolute error = 1.332267629550188e-15 relative error = 8.962863559315781e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5090000000000003 y2[1] (analytic) = 1.487304258432116 y2[1] (numeric) = 1.487304258432115 absolute error = 1.332267629550188e-15 relative error = 8.957599778236602e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.487304258432116 y1[1] (numeric) = 1.487304258432115 absolute error = 1.332267629550188e-15 relative error = 8.957599778236602e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y2[1] (analytic) = 1.488177246882908 y2[1] (numeric) = 1.488177246882906 absolute error = 1.332267629550188e-15 relative error = 8.952345107686039e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.488177246882908 y1[1] (numeric) = 1.488177246882906 absolute error = 1.332267629550188e-15 relative error = 8.952345107686039e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5110000000000003 y2[1] (analytic) = 1.489049747156493 y2[1] (numeric) = 1.489049747156492 absolute error = 1.332267629550188e-15 relative error = 8.947099531726874e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.489049747156493 y1[1] (numeric) = 1.489049747156492 absolute error = 1.332267629550188e-15 relative error = 8.947099531726874e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5120000000000003 y2[1] (analytic) = 1.489921758380372 y2[1] (numeric) = 1.489921758380371 absolute error = 1.332267629550188e-15 relative error = 8.941863034461871e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.489921758380372 y1[1] (numeric) = 1.489921758380371 absolute error = 1.332267629550188e-15 relative error = 8.941863034461871e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5130000000000003 y2[1] (analytic) = 1.490793279682533 y2[1] (numeric) = 1.490793279682532 absolute error = 1.332267629550188e-15 relative error = 8.93663560003367e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.490793279682533 y1[1] (numeric) = 1.490793279682532 absolute error = 1.332267629550188e-15 relative error = 8.93663560003367e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5140000000000003 y2[1] (analytic) = 1.491664310191456 y2[1] (numeric) = 1.491664310191454 absolute error = 1.332267629550188e-15 relative error = 8.931417212624674e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.491664310191456 y1[1] (numeric) = 1.491664310191454 absolute error = 1.332267629550188e-15 relative error = 8.931417212624674e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5150000000000003 y2[1] (analytic) = 1.492534849036109 y2[1] (numeric) = 1.492534849036108 absolute error = 1.332267629550188e-15 relative error = 8.926207856456933e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.492534849036109 y1[1] (numeric) = 1.492534849036108 absolute error = 1.332267629550188e-15 relative error = 8.926207856456933e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5160000000000003 y2[1] (analytic) = 1.493404895345954 y2[1] (numeric) = 1.493404895345953 absolute error = 1.332267629550188e-15 relative error = 8.921007515792037e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.493404895345954 y1[1] (numeric) = 1.493404895345953 absolute error = 1.332267629550188e-15 relative error = 8.921007515792037e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5170000000000003 y2[1] (analytic) = 1.494274448250945 y2[1] (numeric) = 1.494274448250944 absolute error = 1.332267629550188e-15 relative error = 8.915816174931002e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.494274448250945 y1[1] (numeric) = 1.494274448250944 absolute error = 1.332267629550188e-15 relative error = 8.915816174931002e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5180000000000003 y2[1] (analytic) = 1.495143506881529 y2[1] (numeric) = 1.495143506881528 absolute error = 1.332267629550188e-15 relative error = 8.910633818214165e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.495143506881529 y1[1] (numeric) = 1.495143506881528 absolute error = 1.332267629550188e-15 relative error = 8.910633818214165e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5190000000000003 y2[1] (analytic) = 1.496012070368648 y2[1] (numeric) = 1.496012070368646 absolute error = 1.332267629550188e-15 relative error = 8.905460430021064e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.496012070368648 y1[1] (numeric) = 1.496012070368646 absolute error = 1.332267629550188e-15 relative error = 8.905460430021064e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y2[1] (analytic) = 1.496880137843737 y2[1] (numeric) = 1.496880137843736 absolute error = 1.332267629550188e-15 relative error = 8.900295994770334e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.496880137843737 y1[1] (numeric) = 1.496880137843736 absolute error = 1.332267629550188e-15 relative error = 8.900295994770334e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5210000000000004 y2[1] (analytic) = 1.49774770843873 y2[1] (numeric) = 1.497747708438729 absolute error = 1.110223024625157e-15 relative error = 7.412617080766335e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.49774770843873 y1[1] (numeric) = 1.497747708438729 absolute error = 1.110223024625157e-15 relative error = 7.412617080766335e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5220000000000004 y2[1] (analytic) = 1.498614781286056 y2[1] (numeric) = 1.498614781286055 absolute error = 1.332267629550188e-15 relative error = 8.889993920965365e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.498614781286056 y1[1] (numeric) = 1.498614781286055 absolute error = 1.332267629550188e-15 relative error = 8.889993920965365e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5230000000000004 y2[1] (analytic) = 1.499481355518642 y2[1] (numeric) = 1.499481355518641 absolute error = 1.332267629550188e-15 relative error = 8.884856251442898e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.499481355518642 y1[1] (numeric) = 1.499481355518641 absolute error = 1.332267629550188e-15 relative error = 8.884856251442898e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5240000000000004 y2[1] (analytic) = 1.500347430269914 y2[1] (numeric) = 1.500347430269913 absolute error = 1.332267629550188e-15 relative error = 8.879727472926129e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.500347430269914 y1[1] (numeric) = 1.500347430269913 absolute error = 1.332267629550188e-15 relative error = 8.879727472926129e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5250000000000004 y2[1] (analytic) = 1.501213004673798 y2[1] (numeric) = 1.501213004673797 absolute error = 1.332267629550188e-15 relative error = 8.87460757002754e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.501213004673798 y1[1] (numeric) = 1.501213004673797 absolute error = 1.332267629550188e-15 relative error = 8.87460757002754e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5260000000000004 y2[1] (analytic) = 1.502078077864719 y2[1] (numeric) = 1.502078077864718 absolute error = 1.332267629550188e-15 relative error = 8.869496527398061e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.502078077864719 y1[1] (numeric) = 1.502078077864718 absolute error = 1.332267629550188e-15 relative error = 8.869496527398061e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5270000000000004 y2[1] (analytic) = 1.502942648977604 y2[1] (numeric) = 1.502942648977602 absolute error = 1.554312234475219e-15 relative error = 1.034179338468145e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.502942648977604 y1[1] (numeric) = 1.502942648977602 absolute error = 1.554312234475219e-15 relative error = 1.034179338468145e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5280000000000004 y2[1] (analytic) = 1.503806717147881 y2[1] (numeric) = 1.50380671714788 absolute error = 1.332267629550188e-15 relative error = 8.859300961741716e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.503806717147881 y1[1] (numeric) = 1.50380671714788 absolute error = 1.332267629550188e-15 relative error = 8.859300961741716e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5290000000000004 y2[1] (analytic) = 1.504670281511484 y2[1] (numeric) = 1.504670281511483 absolute error = 1.332267629550188e-15 relative error = 8.854216408207964e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.504670281511484 y1[1] (numeric) = 1.504670281511483 absolute error = 1.332267629550188e-15 relative error = 8.854216408207964e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y2[1] (analytic) = 1.505533341204847 y2[1] (numeric) = 1.505533341204846 absolute error = 1.332267629550188e-15 relative error = 8.849140653929334e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.505533341204847 y1[1] (numeric) = 1.505533341204846 absolute error = 1.332267629550188e-15 relative error = 8.849140653929334e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5310000000000004 y2[1] (analytic) = 1.506395895364911 y2[1] (numeric) = 1.50639589536491 absolute error = 1.332267629550188e-15 relative error = 8.844073683747376e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.506395895364911 y1[1] (numeric) = 1.50639589536491 absolute error = 1.332267629550188e-15 relative error = 8.844073683747376e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5320000000000004 y2[1] (analytic) = 1.507257943129122 y2[1] (numeric) = 1.507257943129121 absolute error = 1.332267629550188e-15 relative error = 8.839015482541441e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.507257943129122 y1[1] (numeric) = 1.507257943129121 absolute error = 1.332267629550188e-15 relative error = 8.839015482541441e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5330000000000004 y2[1] (analytic) = 1.508119483635432 y2[1] (numeric) = 1.508119483635431 absolute error = 1.332267629550188e-15 relative error = 8.833966035228585e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.508119483635432 y1[1] (numeric) = 1.508119483635431 absolute error = 1.332267629550188e-15 relative error = 8.833966035228585e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5340000000000004 y2[1] (analytic) = 1.508980516022301 y2[1] (numeric) = 1.5089805160223 absolute error = 1.332267629550188e-15 relative error = 8.828925326763454e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.508980516022301 y1[1] (numeric) = 1.5089805160223 absolute error = 1.332267629550188e-15 relative error = 8.828925326763454e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5350000000000004 y2[1] (analytic) = 1.509841039428696 y2[1] (numeric) = 1.509841039428695 absolute error = 1.332267629550188e-15 relative error = 8.823893342138192e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.509841039428696 y1[1] (numeric) = 1.509841039428695 absolute error = 1.332267629550188e-15 relative error = 8.823893342138192e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5360000000000004 y2[1] (analytic) = 1.510701052994094 y2[1] (numeric) = 1.510701052994093 absolute error = 1.332267629550188e-15 relative error = 8.818870066382327e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.510701052994094 y1[1] (numeric) = 1.510701052994093 absolute error = 1.332267629550188e-15 relative error = 8.818870066382327e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5370000000000004 y2[1] (analytic) = 1.511560555858482 y2[1] (numeric) = 1.511560555858481 absolute error = 1.332267629550188e-15 relative error = 8.813855484562668e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.511560555858482 y1[1] (numeric) = 1.511560555858481 absolute error = 1.332267629550188e-15 relative error = 8.813855484562668e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5380000000000004 y2[1] (analytic) = 1.512419547162356 y2[1] (numeric) = 1.512419547162355 absolute error = 1.110223024625157e-15 relative error = 7.340707984819343e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.512419547162356 y1[1] (numeric) = 1.512419547162355 absolute error = 1.110223024625157e-15 relative error = 7.340707984819343e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5390000000000004 y2[1] (analytic) = 1.513278026046727 y2[1] (numeric) = 1.513278026046725 absolute error = 1.332267629550188e-15 relative error = 8.803852343185022e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.513278026046727 y1[1] (numeric) = 1.513278026046725 absolute error = 1.332267629550188e-15 relative error = 8.803852343185022e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y2[1] (analytic) = 1.514135991653113 y2[1] (numeric) = 1.514135991653112 absolute error = 1.332267629550188e-15 relative error = 8.798863753946143e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.514135991653113 y1[1] (numeric) = 1.514135991653112 absolute error = 1.332267629550188e-15 relative error = 8.798863753946143e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5410000000000004 y2[1] (analytic) = 1.514993443123551 y2[1] (numeric) = 1.51499344312355 absolute error = 1.332267629550188e-15 relative error = 8.793883799281487e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.514993443123551 y1[1] (numeric) = 1.51499344312355 absolute error = 1.332267629550188e-15 relative error = 8.793883799281487e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5420000000000004 y2[1] (analytic) = 1.515850379600589 y2[1] (numeric) = 1.515850379600588 absolute error = 1.332267629550188e-15 relative error = 8.788912464442741e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.515850379600589 y1[1] (numeric) = 1.515850379600588 absolute error = 1.110223024625157e-15 relative error = 7.324093720368952e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5430000000000004 y2[1] (analytic) = 1.51670680022729 y2[1] (numeric) = 1.516706800227289 absolute error = 1.332267629550188e-15 relative error = 8.783949734718253e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.51670680022729 y1[1] (numeric) = 1.516706800227289 absolute error = 1.110223024625157e-15 relative error = 7.319958112265212e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5440000000000004 y2[1] (analytic) = 1.517562704147234 y2[1] (numeric) = 1.517562704147233 absolute error = 1.332267629550188e-15 relative error = 8.778995595432944e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.517562704147234 y1[1] (numeric) = 1.517562704147233 absolute error = 1.110223024625157e-15 relative error = 7.315829662860787e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5450000000000004 y2[1] (analytic) = 1.518418090504517 y2[1] (numeric) = 1.518418090504516 absolute error = 1.332267629550188e-15 relative error = 8.774050031948196e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.518418090504517 y1[1] (numeric) = 1.518418090504516 absolute error = 1.110223024625157e-15 relative error = 7.31170835995683e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5460000000000004 y2[1] (analytic) = 1.519272958443753 y2[1] (numeric) = 1.519272958443752 absolute error = 1.332267629550188e-15 relative error = 8.769113029661756e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.519272958443753 y1[1] (numeric) = 1.519272958443752 absolute error = 1.110223024625157e-15 relative error = 7.307594191384797e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5470000000000004 y2[1] (analytic) = 1.520127307110073 y2[1] (numeric) = 1.520127307110072 absolute error = 1.332267629550188e-15 relative error = 8.764184574007639e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.520127307110073 y1[1] (numeric) = 1.520127307110072 absolute error = 1.110223024625157e-15 relative error = 7.303487145006366e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5480000000000004 y2[1] (analytic) = 1.52098113564913 y2[1] (numeric) = 1.520981135649129 absolute error = 1.554312234475219e-15 relative error = 1.021914209219869e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.52098113564913 y1[1] (numeric) = 1.520981135649129 absolute error = 1.332267629550188e-15 relative error = 8.759264650456019e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5490000000000004 y2[1] (analytic) = 1.521834443207095 y2[1] (numeric) = 1.521834443207093 absolute error = 1.554312234475219e-15 relative error = 1.021341211859866e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.521834443207095 y1[1] (numeric) = 1.521834443207093 absolute error = 1.332267629550188e-15 relative error = 8.754353244513141e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y2[1] (analytic) = 1.522687228930659 y2[1] (numeric) = 1.522687228930658 absolute error = 1.554312234475219e-15 relative error = 1.020769206534141e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.522687228930659 y1[1] (numeric) = 1.522687228930658 absolute error = 1.332267629550188e-15 relative error = 8.749450341721209e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5510000000000004 y2[1] (analytic) = 1.523539491967039 y2[1] (numeric) = 1.523539491967037 absolute error = 1.554312234475219e-15 relative error = 1.020198191560135e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.523539491967039 y1[1] (numeric) = 1.523539491967038 absolute error = 1.332267629550188e-15 relative error = 8.744555927658296e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5520000000000004 y2[1] (analytic) = 1.52439123146397 y2[1] (numeric) = 1.524391231463968 absolute error = 1.77635683940025e-15 relative error = 1.165289331725099e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.52439123146397 y1[1] (numeric) = 1.524391231463968 absolute error = 1.554312234475219e-15 relative error = 1.019628165259462e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5530000000000004 y2[1] (analytic) = 1.525242446569713 y2[1] (numeric) = 1.525242446569712 absolute error = 1.554312234475219e-15 relative error = 1.019059125957899e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.525242446569713 y1[1] (numeric) = 1.525242446569712 absolute error = 1.332267629550188e-15 relative error = 8.734792508210562e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5540000000000004 y2[1] (analytic) = 1.526093136433054 y2[1] (numeric) = 1.526093136433052 absolute error = 1.554312234475219e-15 relative error = 1.018491071985372e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.526093136433054 y1[1] (numeric) = 1.526093136433052 absolute error = 1.332267629550188e-15 relative error = 8.729923474160331e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5550000000000004 y2[1] (analytic) = 1.526943300203302 y2[1] (numeric) = 1.5269433002033 absolute error = 1.77635683940025e-15 relative error = 1.16334171620108e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.526943300203302 y1[1] (numeric) = 1.5269433002033 absolute error = 1.554312234475219e-15 relative error = 1.017924001675945e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5560000000000004 y2[1] (analytic) = 1.527792937030293 y2[1] (numeric) = 1.527792937030292 absolute error = 1.77635683940025e-15 relative error = 1.162694758134641e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.527792937030293 y1[1] (numeric) = 1.527792937030292 absolute error = 1.554312234475219e-15 relative error = 1.017357913367811e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5570000000000004 y2[1] (analytic) = 1.528642046064392 y2[1] (numeric) = 1.52864204606439 absolute error = 1.77635683940025e-15 relative error = 1.162048920460888e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.528642046064392 y1[1] (numeric) = 1.52864204606439 absolute error = 1.554312234475219e-15 relative error = 1.016792805403277e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5580000000000004 y2[1] (analytic) = 1.529490626456488 y2[1] (numeric) = 1.529490626456487 absolute error = 1.77635683940025e-15 relative error = 1.161404201290007e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.529490626456488 y1[1] (numeric) = 1.529490626456487 absolute error = 1.554312234475219e-15 relative error = 1.016228676128756e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5590000000000004 y2[1] (analytic) = 1.530338677358003 y2[1] (numeric) = 1.530338677358001 absolute error = 1.77635683940025e-15 relative error = 1.160760598736861e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.530338677358003 y1[1] (numeric) = 1.530338677358001 absolute error = 1.554312234475219e-15 relative error = 1.015665523894753e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y2[1] (analytic) = 1.531186197920884 y2[1] (numeric) = 1.531186197920882 absolute error = 1.77635683940025e-15 relative error = 1.160118110920978e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.531186197920884 y1[1] (numeric) = 1.531186197920882 absolute error = 1.554312234475219e-15 relative error = 1.015103347055856e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5610000000000004 y2[1] (analytic) = 1.532033187297611 y2[1] (numeric) = 1.532033187297609 absolute error = 1.77635683940025e-15 relative error = 1.159476735966541e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.532033187297611 y1[1] (numeric) = 1.53203318729761 absolute error = 1.554312234475219e-15 relative error = 1.014542143970723e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5620000000000004 y2[1] (analytic) = 1.532879644641196 y2[1] (numeric) = 1.532879644641194 absolute error = 1.77635683940025e-15 relative error = 1.15883647200237e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.532879644641196 y1[1] (numeric) = 1.532879644641194 absolute error = 1.554312234475219e-15 relative error = 1.013981913002074e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5630000000000004 y2[1] (analytic) = 1.53372556910518 y2[1] (numeric) = 1.533725569105178 absolute error = 1.77635683940025e-15 relative error = 1.158197317161915e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.53372556910518 y1[1] (numeric) = 1.533725569105178 absolute error = 1.554312234475219e-15 relative error = 1.013422652516676e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5640000000000004 y2[1] (analytic) = 1.534570959843639 y2[1] (numeric) = 1.534570959843638 absolute error = 1.77635683940025e-15 relative error = 1.157559269583237e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.534570959843639 y1[1] (numeric) = 1.534570959843638 absolute error = 1.554312234475219e-15 relative error = 1.012864360885333e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5650000000000004 y2[1] (analytic) = 1.535415816011184 y2[1] (numeric) = 1.535415816011182 absolute error = 1.77635683940025e-15 relative error = 1.156922327409002e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.535415816011184 y1[1] (numeric) = 1.535415816011182 absolute error = 1.554312234475219e-15 relative error = 1.012307036482877e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5660000000000004 y2[1] (analytic) = 1.536260136762956 y2[1] (numeric) = 1.536260136762955 absolute error = 1.554312234475219e-15 relative error = 1.011750677688155e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.536260136762956 y1[1] (numeric) = 1.536260136762955 absolute error = 1.332267629550188e-15 relative error = 8.672148665898473e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5670000000000004 y2[1] (analytic) = 1.537103921254637 y2[1] (numeric) = 1.537103921254636 absolute error = 1.554312234475219e-15 relative error = 1.01119528288402e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.537103921254637 y1[1] (numeric) = 1.537103921254636 absolute error = 1.332267629550188e-15 relative error = 8.667388139005884e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5680000000000004 y2[1] (analytic) = 1.537947168642442 y2[1] (numeric) = 1.53794716864244 absolute error = 1.554312234475219e-15 relative error = 1.010640850457316e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.537947168642442 y1[1] (numeric) = 1.53794716864244 absolute error = 1.332267629550188e-15 relative error = 8.662635861062712e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5690000000000004 y2[1] (analytic) = 1.538789878083122 y2[1] (numeric) = 1.538789878083121 absolute error = 1.554312234475219e-15 relative error = 1.010087378798874e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.538789878083122 y1[1] (numeric) = 1.538789878083121 absolute error = 1.332267629550188e-15 relative error = 8.657891818276059e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y2[1] (analytic) = 1.53963204873397 y2[1] (numeric) = 1.539632048733968 absolute error = 1.77635683940025e-15 relative error = 1.153754132918276e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.53963204873397 y1[1] (numeric) = 1.539632048733968 absolute error = 1.554312234475219e-15 relative error = 1.009534866303492e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5710000000000004 y2[1] (analytic) = 1.540473679752813 y2[1] (numeric) = 1.540473679752811 absolute error = 1.77635683940025e-15 relative error = 1.153123784422781e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.540473679752813 y1[1] (numeric) = 1.540473679752812 absolute error = 1.554312234475219e-15 relative error = 1.008983311369933e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5720000000000004 y2[1] (analytic) = 1.541314770298022 y2[1] (numeric) = 1.54131477029802 absolute error = 1.77635683940025e-15 relative error = 1.152494528458182e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.541314770298022 y1[1] (numeric) = 1.54131477029802 absolute error = 1.554312234475219e-15 relative error = 1.00843271240091e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5730000000000004 y2[1] (analytic) = 1.542155319528506 y2[1] (numeric) = 1.542155319528504 absolute error = 1.77635683940025e-15 relative error = 1.151866363203513e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.542155319528506 y1[1] (numeric) = 1.542155319528504 absolute error = 1.554312234475219e-15 relative error = 1.007883067803073e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5740000000000004 y2[1] (analytic) = 1.542995326603715 y2[1] (numeric) = 1.542995326603713 absolute error = 1.77635683940025e-15 relative error = 1.151239286842292e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.542995326603715 y1[1] (numeric) = 1.542995326603713 absolute error = 1.554312234475219e-15 relative error = 1.007334375987006e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5750000000000004 y2[1] (analytic) = 1.543834790683643 y2[1] (numeric) = 1.543834790683641 absolute error = 1.998401444325282e-15 relative error = 1.294439959757836e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.543834790683643 y1[1] (numeric) = 1.543834790683641 absolute error = 1.77635683940025e-15 relative error = 1.150613297562521e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5760000000000004 y2[1] (analytic) = 1.544673710928826 y2[1] (numeric) = 1.544673710928824 absolute error = 1.998401444325282e-15 relative error = 1.293736942751247e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.544673710928826 y1[1] (numeric) = 1.544673710928824 absolute error = 1.77635683940025e-15 relative error = 1.149988393556664e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5770000000000004 y2[1] (analytic) = 1.545512086500343 y2[1] (numeric) = 1.545512086500341 absolute error = 1.998401444325282e-15 relative error = 1.293035144649345e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.545512086500343 y1[1] (numeric) = 1.545512086500341 absolute error = 1.77635683940025e-15 relative error = 1.14936457302164e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5780000000000004 y2[1] (analytic) = 1.546349916559819 y2[1] (numeric) = 1.546349916559817 absolute error = 1.998401444325282e-15 relative error = 1.292334563428662e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.546349916559819 y1[1] (numeric) = 1.546349916559817 absolute error = 1.77635683940025e-15 relative error = 1.148741834158811e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5790000000000004 y2[1] (analytic) = 1.547187200269424 y2[1] (numeric) = 1.547187200269422 absolute error = 1.998401444325282e-15 relative error = 1.291635197070713e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.547187200269424 y1[1] (numeric) = 1.547187200269422 absolute error = 1.77635683940025e-15 relative error = 1.148120175173967e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y2[1] (analytic) = 1.548023936791874 y2[1] (numeric) = 1.548023936791872 absolute error = 1.998401444325282e-15 relative error = 1.290937043561982e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.548023936791874 y1[1] (numeric) = 1.548023936791872 absolute error = 1.77635683940025e-15 relative error = 1.147499594277317e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5810000000000004 y2[1] (analytic) = 1.548860125290433 y2[1] (numeric) = 1.548860125290431 absolute error = 1.77635683940025e-15 relative error = 1.146880089683475e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.548860125290433 y1[1] (numeric) = 1.548860125290431 absolute error = 1.554312234475219e-15 relative error = 1.003520078473041e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5820000000000004 y2[1] (analytic) = 1.549695764928913 y2[1] (numeric) = 1.549695764928911 absolute error = 1.77635683940025e-15 relative error = 1.14626165961145e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.549695764928913 y1[1] (numeric) = 1.549695764928911 absolute error = 1.554312234475219e-15 relative error = 1.002978952160018e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5830000000000004 y2[1] (analytic) = 1.550530854871673 y2[1] (numeric) = 1.550530854871671 absolute error = 1.77635683940025e-15 relative error = 1.145644302284631e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.550530854871673 y1[1] (numeric) = 1.550530854871672 absolute error = 1.554312234475219e-15 relative error = 1.002438764499052e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5840000000000004 y2[1] (analytic) = 1.551365394283625 y2[1] (numeric) = 1.551365394283623 absolute error = 1.77635683940025e-15 relative error = 1.14502801593078e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.551365394283625 y1[1] (numeric) = 1.551365394283623 absolute error = 1.554312234475219e-15 relative error = 1.001899513939432e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5850000000000004 y2[1] (analytic) = 1.552199382330228 y2[1] (numeric) = 1.552199382330226 absolute error = 1.77635683940025e-15 relative error = 1.144412798782015e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.552199382330228 y1[1] (numeric) = 1.552199382330226 absolute error = 1.554312234475219e-15 relative error = 1.001361198934263e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5860000000000004 y2[1] (analytic) = 1.553032818177495 y2[1] (numeric) = 1.553032818177493 absolute error = 1.77635683940025e-15 relative error = 1.143798649074802e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.553032818177495 y1[1] (numeric) = 1.553032818177493 absolute error = 1.554312234475219e-15 relative error = 1.000823817940451e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5870000000000004 y2[1] (analytic) = 1.55386570099199 y2[1] (numeric) = 1.553865700991988 absolute error = 1.77635683940025e-15 relative error = 1.143185565049941e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.55386570099199 y1[1] (numeric) = 1.553865700991988 absolute error = 1.554312234475219e-15 relative error = 1.000287369418698e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5880000000000004 y2[1] (analytic) = 1.55469802994083 y2[1] (numeric) = 1.554698029940828 absolute error = 1.77635683940025e-15 relative error = 1.142573544952557e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.55469802994083 y1[1] (numeric) = 1.554698029940828 absolute error = 1.554312234475219e-15 relative error = 9.997518518334875e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5890000000000004 y2[1] (analytic) = 1.555529804191686 y2[1] (numeric) = 1.555529804191684 absolute error = 1.998401444325282e-15 relative error = 1.284707910411096e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.555529804191686 y1[1] (numeric) = 1.555529804191684 absolute error = 1.77635683940025e-15 relative error = 1.141962587032085e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y2[1] (analytic) = 1.556361022912784 y2[1] (numeric) = 1.556361022912782 absolute error = 1.998401444325282e-15 relative error = 1.284021775735043e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.556361022912784 y1[1] (numeric) = 1.556361022912782 absolute error = 1.77635683940025e-15 relative error = 1.141352689542261e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5910000000000004 y2[1] (analytic) = 1.557191685272906 y2[1] (numeric) = 1.557191685272904 absolute error = 1.998401444325282e-15 relative error = 1.283336832083747e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.557191685272906 y1[1] (numeric) = 1.557191685272904 absolute error = 1.77635683940025e-15 relative error = 1.140743850741108e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5920000000000004 y2[1] (analytic) = 1.558021790441389 y2[1] (numeric) = 1.558021790441387 absolute error = 1.998401444325282e-15 relative error = 1.282653077502294e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.558021790441389 y1[1] (numeric) = 1.558021790441387 absolute error = 1.77635683940025e-15 relative error = 1.140136068890928e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5930000000000004 y2[1] (analytic) = 1.558851337588128 y2[1] (numeric) = 1.558851337588126 absolute error = 1.998401444325282e-15 relative error = 1.281970510040573e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.558851337588128 y1[1] (numeric) = 1.558851337588126 absolute error = 1.77635683940025e-15 relative error = 1.139529342258287e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5940000000000004 y2[1] (analytic) = 1.559680325883576 y2[1] (numeric) = 1.559680325883574 absolute error = 1.998401444325282e-15 relative error = 1.281289127753256e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.559680325883576 y1[1] (numeric) = 1.559680325883574 absolute error = 1.77635683940025e-15 relative error = 1.138923669114006e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5950000000000004 y2[1] (analytic) = 1.560508754498745 y2[1] (numeric) = 1.560508754498743 absolute error = 1.998401444325282e-15 relative error = 1.280608928699791e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.560508754498745 y1[1] (numeric) = 1.560508754498743 absolute error = 1.77635683940025e-15 relative error = 1.138319047733147e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5960000000000004 y2[1] (analytic) = 1.561336622605205 y2[1] (numeric) = 1.561336622605203 absolute error = 1.998401444325282e-15 relative error = 1.279929910944381e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.561336622605205 y1[1] (numeric) = 1.561336622605204 absolute error = 1.77635683940025e-15 relative error = 1.137715476395006e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5970000000000004 y2[1] (analytic) = 1.562163929375091 y2[1] (numeric) = 1.562163929375089 absolute error = 1.998401444325282e-15 relative error = 1.279252072555982e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.562163929375091 y1[1] (numeric) = 1.562163929375089 absolute error = 1.77635683940025e-15 relative error = 1.137112953383095e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5980000000000004 y2[1] (analytic) = 1.562990673981093 y2[1] (numeric) = 1.562990673981091 absolute error = 1.998401444325282e-15 relative error = 1.278575411608282e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.562990673981093 y1[1] (numeric) = 1.562990673981091 absolute error = 1.77635683940025e-15 relative error = 1.136511476985139e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5990000000000004 y2[1] (analytic) = 1.563816855596469 y2[1] (numeric) = 1.563816855596467 absolute error = 1.998401444325282e-15 relative error = 1.27789992617969e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.563816855596469 y1[1] (numeric) = 1.563816855596467 absolute error = 1.77635683940025e-15 relative error = 1.135911045493057e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y2[1] (analytic) = 1.564642473395036 y2[1] (numeric) = 1.564642473395034 absolute error = 1.998401444325282e-15 relative error = 1.277225614353326e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.564642473395036 y1[1] (numeric) = 1.564642473395034 absolute error = 1.77635683940025e-15 relative error = 1.135311657202956e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6010000000000004 y2[1] (analytic) = 1.565467526551176 y2[1] (numeric) = 1.565467526551174 absolute error = 1.998401444325282e-15 relative error = 1.276552474217007e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.565467526551176 y1[1] (numeric) = 1.565467526551175 absolute error = 1.77635683940025e-15 relative error = 1.134713310415117e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6020000000000004 y2[1] (analytic) = 1.566292014239837 y2[1] (numeric) = 1.566292014239836 absolute error = 1.77635683940025e-15 relative error = 1.134116003433985e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.566292014239837 y1[1] (numeric) = 1.566292014239836 absolute error = 1.554312234475219e-15 relative error = 9.923515030047368e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6030000000000004 y2[1] (analytic) = 1.567115935636532 y2[1] (numeric) = 1.56711593563653 absolute error = 1.998401444325282e-15 relative error = 1.275209701389177e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.567115935636532 y1[1] (numeric) = 1.56711593563653 absolute error = 1.77635683940025e-15 relative error = 1.133519734568157e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6040000000000004 y2[1] (analytic) = 1.567939289917337 y2[1] (numeric) = 1.567939289917335 absolute error = 1.77635683940025e-15 relative error = 1.132924502130373e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.567939289917337 y1[1] (numeric) = 1.567939289917336 absolute error = 1.554312234475219e-15 relative error = 9.913089393640767e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6050000000000004 y2[1] (analytic) = 1.5687620762589 y2[1] (numeric) = 1.568762076258899 absolute error = 1.77635683940025e-15 relative error = 1.132330304437503e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.5687620762589 y1[1] (numeric) = 1.568762076258899 absolute error = 1.554312234475219e-15 relative error = 9.907890163828154e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6060000000000004 y2[1] (analytic) = 1.569584293838435 y2[1] (numeric) = 1.569584293838433 absolute error = 1.77635683940025e-15 relative error = 1.131737139810536e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.569584293838435 y1[1] (numeric) = 1.569584293838433 absolute error = 1.554312234475219e-15 relative error = 9.902699973342193e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6070000000000004 y2[1] (analytic) = 1.570405941833723 y2[1] (numeric) = 1.570405941833721 absolute error = 1.998401444325282e-15 relative error = 1.272538132396392e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.570405941833723 y1[1] (numeric) = 1.570405941833721 absolute error = 1.77635683940025e-15 relative error = 1.13114500657457e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6080000000000004 y2[1] (analytic) = 1.571227019423116 y2[1] (numeric) = 1.571227019423114 absolute error = 1.998401444325282e-15 relative error = 1.271873140941151e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.571227019423116 y1[1] (numeric) = 1.571227019423114 absolute error = 1.77635683940025e-15 relative error = 1.130553903058801e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6090000000000004 y2[1] (analytic) = 1.572047525785538 y2[1] (numeric) = 1.572047525785536 absolute error = 1.998401444325282e-15 relative error = 1.271209306046074e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.572047525785538 y1[1] (numeric) = 1.572047525785536 absolute error = 1.77635683940025e-15 relative error = 1.12996382759651e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y2[1] (analytic) = 1.572867460100482 y2[1] (numeric) = 1.57286746010048 absolute error = 1.77635683940025e-15 relative error = 1.129374778525057e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.572867460100482 y1[1] (numeric) = 1.57286746010048 absolute error = 1.554312234475219e-15 relative error = 9.882029312094251e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6110000000000004 y2[1] (analytic) = 1.573686821548013 y2[1] (numeric) = 1.573686821548011 absolute error = 1.77635683940025e-15 relative error = 1.128786754185864e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.573686821548013 y1[1] (numeric) = 1.573686821548011 absolute error = 1.554312234475219e-15 relative error = 9.87688409912631e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6120000000000004 y2[1] (analytic) = 1.57450560930877 y2[1] (numeric) = 1.574505609308769 absolute error = 1.77635683940025e-15 relative error = 1.128199752924409e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.57450560930877 y1[1] (numeric) = 1.574505609308769 absolute error = 1.554312234475219e-15 relative error = 9.871747838088577e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6130000000000004 y2[1] (analytic) = 1.575323822563967 y2[1] (numeric) = 1.575323822563965 absolute error = 1.77635683940025e-15 relative error = 1.127613773090212e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.575323822563967 y1[1] (numeric) = 1.575323822563965 absolute error = 1.554312234475219e-15 relative error = 9.866620514539358e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6140000000000004 y2[1] (analytic) = 1.576141460495388 y2[1] (numeric) = 1.576141460495386 absolute error = 1.77635683940025e-15 relative error = 1.127028813036828e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.576141460495388 y1[1] (numeric) = 1.576141460495387 absolute error = 1.554312234475219e-15 relative error = 9.861502114072249e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6150000000000004 y2[1] (analytic) = 1.576958522285397 y2[1] (numeric) = 1.576958522285395 absolute error = 1.998401444325282e-15 relative error = 1.267250480012062e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.576958522285397 y1[1] (numeric) = 1.576958522285395 absolute error = 1.77635683940025e-15 relative error = 1.126444871121833e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6160000000000004 y2[1] (analytic) = 1.577775007116932 y2[1] (numeric) = 1.57777500711693 absolute error = 1.77635683940025e-15 relative error = 1.125861945706813e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.577775007116932 y1[1] (numeric) = 1.57777500711693 absolute error = 1.554312234475219e-15 relative error = 9.851292024934619e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6170000000000004 y2[1] (analytic) = 1.578590914173508 y2[1] (numeric) = 1.578590914173506 absolute error = 1.77635683940025e-15 relative error = 1.125280035157358e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.578590914173508 y1[1] (numeric) = 1.578590914173506 absolute error = 1.554312234475219e-15 relative error = 9.846200307626882e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6180000000000004 y2[1] (analytic) = 1.579406242639218 y2[1] (numeric) = 1.579406242639216 absolute error = 1.77635683940025e-15 relative error = 1.124699137843045e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.579406242639218 y1[1] (numeric) = 1.579406242639216 absolute error = 1.554312234475219e-15 relative error = 9.841117456126639e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6190000000000004 y2[1] (analytic) = 1.580220991698733 y2[1] (numeric) = 1.580220991698732 absolute error = 1.77635683940025e-15 relative error = 1.124119252137431e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.580220991698733 y1[1] (numeric) = 1.580220991698732 absolute error = 1.554312234475219e-15 relative error = 9.836043456202526e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y2[1] (analytic) = 1.581035160537305 y2[1] (numeric) = 1.581035160537304 absolute error = 1.77635683940025e-15 relative error = 1.123540376418046e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.581035160537305 y1[1] (numeric) = 1.581035160537304 absolute error = 1.554312234475219e-15 relative error = 9.830978293657906e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6210000000000004 y2[1] (analytic) = 1.581848748340765 y2[1] (numeric) = 1.581848748340764 absolute error = 1.77635683940025e-15 relative error = 1.122962509066375e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.581848748340765 y1[1] (numeric) = 1.581848748340764 absolute error = 1.554312234475219e-15 relative error = 9.825921954330779e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6220000000000004 y2[1] (analytic) = 1.582661754295526 y2[1] (numeric) = 1.582661754295524 absolute error = 1.77635683940025e-15 relative error = 1.122385648467851e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.582661754295526 y1[1] (numeric) = 1.582661754295524 absolute error = 1.554312234475219e-15 relative error = 9.820874424093697e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6230000000000004 y2[1] (analytic) = 1.58347417758858 y2[1] (numeric) = 1.583474177588578 absolute error = 1.77635683940025e-15 relative error = 1.121809793011847e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.58347417758858 y1[1] (numeric) = 1.583474177588579 absolute error = 1.554312234475219e-15 relative error = 9.815835688853665e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6240000000000004 y2[1] (analytic) = 1.584286017407506 y2[1] (numeric) = 1.584286017407504 absolute error = 1.998401444325282e-15 relative error = 1.261389308728121e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.584286017407506 y1[1] (numeric) = 1.584286017407504 absolute error = 1.77635683940025e-15 relative error = 1.121234941091663e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6250000000000004 y2[1] (analytic) = 1.585097272940462 y2[1] (numeric) = 1.58509727294046 absolute error = 1.998401444325282e-15 relative error = 1.26074372749258e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.585097272940462 y1[1] (numeric) = 1.585097272940461 absolute error = 1.77635683940025e-15 relative error = 1.120661091104515e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6260000000000004 y2[1] (analytic) = 1.585907943376195 y2[1] (numeric) = 1.585907943376193 absolute error = 1.998401444325282e-15 relative error = 1.260099271632968e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.585907943376195 y1[1] (numeric) = 1.585907943376193 absolute error = 1.77635683940025e-15 relative error = 1.120088241451527e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6270000000000004 y2[1] (analytic) = 1.586718027904033 y2[1] (numeric) = 1.586718027904031 absolute error = 1.998401444325282e-15 relative error = 1.259455939354933e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.586718027904033 y1[1] (numeric) = 1.586718027904031 absolute error = 1.77635683940025e-15 relative error = 1.119516390537719e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6280000000000004 y2[1] (analytic) = 1.587527525713892 y2[1] (numeric) = 1.58752752571389 absolute error = 2.220446049250313e-15 relative error = 1.398681920964995e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.587527525713892 y1[1] (numeric) = 1.58752752571389 absolute error = 1.998401444325282e-15 relative error = 1.258813728868496e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6290000000000004 y2[1] (analytic) = 1.588336435996275 y2[1] (numeric) = 1.588336435996272 absolute error = 2.220446049250313e-15 relative error = 1.397969598208928e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.588336435996275 y1[1] (numeric) = 1.588336435996273 absolute error = 1.998401444325282e-15 relative error = 1.258172638388035e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y2[1] (analytic) = 1.58914475794227 y2[1] (numeric) = 1.589144757942268 absolute error = 2.220446049250313e-15 relative error = 1.397258517924757e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.58914475794227 y1[1] (numeric) = 1.589144757942268 absolute error = 1.998401444325282e-15 relative error = 1.257532666132282e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6310000000000004 y2[1] (analytic) = 1.589952490743556 y2[1] (numeric) = 1.589952490743554 absolute error = 1.998401444325282e-15 relative error = 1.256893810324301e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.589952490743556 y1[1] (numeric) = 1.589952490743554 absolute error = 1.77635683940025e-15 relative error = 1.11723894251049e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6320000000000005 y2[1] (analytic) = 1.590759633592401 y2[1] (numeric) = 1.590759633592399 absolute error = 1.998401444325282e-15 relative error = 1.256256069191488e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.590759633592401 y1[1] (numeric) = 1.590759633592399 absolute error = 1.77635683940025e-15 relative error = 1.116672061503545e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6330000000000005 y2[1] (analytic) = 1.591566185681662 y2[1] (numeric) = 1.59156618568166 absolute error = 1.998401444325282e-15 relative error = 1.25561944096555e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.591566185681662 y1[1] (numeric) = 1.59156618568166 absolute error = 1.77635683940025e-15 relative error = 1.116106169747156e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6340000000000005 y2[1] (analytic) = 1.592372146204786 y2[1] (numeric) = 1.592372146204784 absolute error = 1.998401444325282e-15 relative error = 1.254983923882501e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.592372146204786 y1[1] (numeric) = 1.592372146204784 absolute error = 1.77635683940025e-15 relative error = 1.115541265673334e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6350000000000005 y2[1] (analytic) = 1.593177514355813 y2[1] (numeric) = 1.593177514355811 absolute error = 1.998401444325282e-15 relative error = 1.254349516182644e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.593177514355813 y1[1] (numeric) = 1.593177514355812 absolute error = 1.77635683940025e-15 relative error = 1.114977347717906e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6360000000000005 y2[1] (analytic) = 1.593982289329376 y2[1] (numeric) = 1.593982289329374 absolute error = 1.77635683940025e-15 relative error = 1.114414414320503e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.593982289329376 y1[1] (numeric) = 1.593982289329374 absolute error = 1.554312234475219e-15 relative error = 9.7511261253044e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6370000000000005 y2[1] (analytic) = 1.594786470320698 y2[1] (numeric) = 1.594786470320696 absolute error = 1.77635683940025e-15 relative error = 1.113852463924553e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.594786470320698 y1[1] (numeric) = 1.594786470320697 absolute error = 1.554312234475219e-15 relative error = 9.746209059339837e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6380000000000005 y2[1] (analytic) = 1.5955900565256 y2[1] (numeric) = 1.595590056525598 absolute error = 1.77635683940025e-15 relative error = 1.113291494977269e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.5955900565256 y1[1] (numeric) = 1.595590056525598 absolute error = 1.554312234475219e-15 relative error = 9.741300581051104e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6390000000000005 y2[1] (analytic) = 1.596393047140495 y2[1] (numeric) = 1.596393047140493 absolute error = 1.77635683940025e-15 relative error = 1.11273150592964e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.596393047140495 y1[1] (numeric) = 1.596393047140493 absolute error = 1.554312234475219e-15 relative error = 9.736400676884354e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y2[1] (analytic) = 1.597195441362392 y2[1] (numeric) = 1.597195441362391 absolute error = 1.554312234475219e-15 relative error = 9.731509333318694e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.597195441362392 y1[1] (numeric) = 1.597195441362391 absolute error = 1.332267629550188e-15 relative error = 8.341293714273166e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6410000000000005 y2[1] (analytic) = 1.597997238388898 y2[1] (numeric) = 1.597997238388897 absolute error = 1.554312234475219e-15 relative error = 9.726626536866094e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.597997238388898 y1[1] (numeric) = 1.597997238388897 absolute error = 1.332267629550188e-15 relative error = 8.337108460170938e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6420000000000005 y2[1] (analytic) = 1.598798437418216 y2[1] (numeric) = 1.598798437418214 absolute error = 1.554312234475219e-15 relative error = 9.721752274071308e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.598798437418216 y1[1] (numeric) = 1.598798437418214 absolute error = 1.332267629550188e-15 relative error = 8.33293052063255e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6430000000000005 y2[1] (analytic) = 1.599599037649145 y2[1] (numeric) = 1.599599037649144 absolute error = 1.554312234475219e-15 relative error = 9.716886531511783e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.599599037649145 y1[1] (numeric) = 1.599599037649144 absolute error = 1.332267629550188e-15 relative error = 8.328759884152958e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6440000000000005 y2[1] (analytic) = 1.600399038281088 y2[1] (numeric) = 1.600399038281086 absolute error = 1.554312234475219e-15 relative error = 9.712029295797577e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.600399038281088 y1[1] (numeric) = 1.600399038281086 absolute error = 1.332267629550188e-15 relative error = 8.324596539255067e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6450000000000005 y2[1] (analytic) = 1.601198438514041 y2[1] (numeric) = 1.60119843851404 absolute error = 1.554312234475219e-15 relative error = 9.707180553571273e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.601198438514041 y1[1] (numeric) = 1.60119843851404 absolute error = 1.332267629550188e-15 relative error = 8.320440474489663e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6460000000000005 y2[1] (analytic) = 1.601997237548607 y2[1] (numeric) = 1.601997237548605 absolute error = 1.554312234475219e-15 relative error = 9.702340291507895e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.601997237548607 y1[1] (numeric) = 1.601997237548606 absolute error = 1.332267629550188e-15 relative error = 8.316291678435338e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6470000000000005 y2[1] (analytic) = 1.602795434585985 y2[1] (numeric) = 1.602795434585983 absolute error = 1.554312234475219e-15 relative error = 9.697508496314819e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.602795434585985 y1[1] (numeric) = 1.602795434585984 absolute error = 1.332267629550188e-15 relative error = 8.312150139698416e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6480000000000005 y2[1] (analytic) = 1.603593028827979 y2[1] (numeric) = 1.603593028827977 absolute error = 1.554312234475219e-15 relative error = 9.6926851547317e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.603593028827979 y1[1] (numeric) = 1.603593028827977 absolute error = 1.332267629550188e-15 relative error = 8.308015846912885e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6490000000000005 y2[1] (analytic) = 1.604390019476994 y2[1] (numeric) = 1.604390019476992 absolute error = 1.332267629550188e-15 relative error = 8.303888788740324e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.604390019476994 y1[1] (numeric) = 1.604390019476993 absolute error = 1.110223024625157e-15 relative error = 6.91990732395027e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y2[1] (analytic) = 1.60518640573604 y2[1] (numeric) = 1.605186405736039 absolute error = 1.332267629550188e-15 relative error = 8.299768953869826e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.60518640573604 y1[1] (numeric) = 1.605186405736039 absolute error = 1.110223024625157e-15 relative error = 6.916474128224855e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6510000000000005 y2[1] (analytic) = 1.605982186808731 y2[1] (numeric) = 1.605982186808729 absolute error = 1.332267629550188e-15 relative error = 8.295656331017938e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.605982186808731 y1[1] (numeric) = 1.60598218680873 absolute error = 1.110223024625157e-15 relative error = 6.913046942514948e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6520000000000005 y2[1] (analytic) = 1.606777361899285 y2[1] (numeric) = 1.606777361899284 absolute error = 1.332267629550188e-15 relative error = 8.291550908928577e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.606777361899285 y1[1] (numeric) = 1.606777361899284 absolute error = 1.110223024625157e-15 relative error = 6.90962575744048e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6530000000000005 y2[1] (analytic) = 1.607571930212528 y2[1] (numeric) = 1.607571930212527 absolute error = 1.332267629550188e-15 relative error = 8.28745267637297e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.607571930212528 y1[1] (numeric) = 1.607571930212527 absolute error = 1.110223024625157e-15 relative error = 6.906210563644142e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6540000000000005 y2[1] (analytic) = 1.608365890953892 y2[1] (numeric) = 1.60836589095389 absolute error = 1.332267629550188e-15 relative error = 8.283361622149576e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.608365890953892 y1[1] (numeric) = 1.608365890953891 absolute error = 1.110223024625157e-15 relative error = 6.902801351791314e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6550000000000005 y2[1] (analytic) = 1.609159243329415 y2[1] (numeric) = 1.609159243329414 absolute error = 1.332267629550188e-15 relative error = 8.279277735084023e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.609159243329415 y1[1] (numeric) = 1.609159243329414 absolute error = 1.110223024625157e-15 relative error = 6.899398112570019e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6560000000000005 y2[1] (analytic) = 1.609951986545746 y2[1] (numeric) = 1.609951986545745 absolute error = 1.332267629550188e-15 relative error = 8.275201004029024e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.609951986545746 y1[1] (numeric) = 1.609951986545745 absolute error = 1.110223024625157e-15 relative error = 6.896000836690854e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6570000000000005 y2[1] (analytic) = 1.610744119810141 y2[1] (numeric) = 1.61074411981014 absolute error = 1.332267629550188e-15 relative error = 8.271131417864327e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.610744119810141 y1[1] (numeric) = 1.61074411981014 absolute error = 1.110223024625157e-15 relative error = 6.892609514886939e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6580000000000005 y2[1] (analytic) = 1.611535642330467 y2[1] (numeric) = 1.611535642330466 absolute error = 1.332267629550188e-15 relative error = 8.267068965496628e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.611535642330467 y1[1] (numeric) = 1.611535642330466 absolute error = 1.110223024625157e-15 relative error = 6.889224137913857e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6590000000000005 y2[1] (analytic) = 1.612326553315202 y2[1] (numeric) = 1.6123265533152 absolute error = 1.332267629550188e-15 relative error = 8.26301363585951e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.612326553315202 y1[1] (numeric) = 1.612326553315201 absolute error = 1.110223024625157e-15 relative error = 6.885844696549592e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y2[1] (analytic) = 1.613116851973434 y2[1] (numeric) = 1.613116851973433 absolute error = 1.332267629550188e-15 relative error = 8.258965417913373e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.613116851973434 y1[1] (numeric) = 1.613116851973433 absolute error = 1.110223024625157e-15 relative error = 6.882471181594477e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6610000000000005 y2[1] (analytic) = 1.613906537514866 y2[1] (numeric) = 1.613906537514864 absolute error = 1.332267629550188e-15 relative error = 8.25492430064536e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.613906537514866 y1[1] (numeric) = 1.613906537514865 absolute error = 1.110223024625157e-15 relative error = 6.879103583871134e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6620000000000005 y2[1] (analytic) = 1.614695609149811 y2[1] (numeric) = 1.61469560914981 absolute error = 1.332267629550188e-15 relative error = 8.250890273069297e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.614695609149811 y1[1] (numeric) = 1.61469560914981 absolute error = 1.110223024625157e-15 relative error = 6.875741894224414e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6630000000000005 y2[1] (analytic) = 1.615484066089198 y2[1] (numeric) = 1.615484066089197 absolute error = 1.332267629550188e-15 relative error = 8.246863324225614e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.615484066089198 y1[1] (numeric) = 1.615484066089197 absolute error = 1.110223024625157e-15 relative error = 6.872386103521345e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6640000000000005 y2[1] (analytic) = 1.616271907544571 y2[1] (numeric) = 1.61627190754457 absolute error = 1.110223024625157e-15 relative error = 6.869036202651074e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.616271907544571 y1[1] (numeric) = 1.61627190754457 absolute error = 8.881784197001252e-16 relative error = 5.495228962120859e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6650000000000005 y2[1] (analytic) = 1.617059132728087 y2[1] (numeric) = 1.617059132728086 absolute error = 1.110223024625157e-15 relative error = 6.865692182524803e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.617059132728087 y1[1] (numeric) = 1.617059132728086 absolute error = 8.881784197001252e-16 relative error = 5.492553746019842e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6660000000000005 y2[1] (analytic) = 1.617845740852522 y2[1] (numeric) = 1.617845740852521 absolute error = 1.110223024625157e-15 relative error = 6.862354034075744e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.617845740852522 y1[1] (numeric) = 1.617845740852521 absolute error = 8.881784197001252e-16 relative error = 5.489883227260596e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6670000000000005 y2[1] (analytic) = 1.618631731131268 y2[1] (numeric) = 1.618631731131267 absolute error = 1.110223024625157e-15 relative error = 6.859021748259054e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.618631731131268 y1[1] (numeric) = 1.618631731131267 absolute error = 8.881784197001252e-16 relative error = 5.487217398607242e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6680000000000005 y2[1] (analytic) = 1.619417102778334 y2[1] (numeric) = 1.619417102778333 absolute error = 1.110223024625157e-15 relative error = 6.85569531605178e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.619417102778334 y1[1] (numeric) = 1.619417102778333 absolute error = 8.881784197001252e-16 relative error = 5.484556252841424e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6690000000000005 y2[1] (analytic) = 1.620201855008349 y2[1] (numeric) = 1.620201855008347 absolute error = 1.110223024625157e-15 relative error = 6.852374728452806e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.620201855008349 y1[1] (numeric) = 1.620201855008348 absolute error = 8.881784197001252e-16 relative error = 5.481899782762245e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y2[1] (analytic) = 1.62098598703656 y2[1] (numeric) = 1.620985987036559 absolute error = 1.110223024625157e-15 relative error = 6.849059976482797e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.62098598703656 y1[1] (numeric) = 1.620985987036559 absolute error = 8.881784197001252e-16 relative error = 5.479247981186237e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6710000000000005 y2[1] (analytic) = 1.621769498078836 y2[1] (numeric) = 1.621769498078835 absolute error = 1.110223024625157e-15 relative error = 6.845751051184138e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.621769498078836 y1[1] (numeric) = 1.621769498078836 absolute error = 8.881784197001252e-16 relative error = 5.47660084094731e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6720000000000005 y2[1] (analytic) = 1.622552387351666 y2[1] (numeric) = 1.622552387351665 absolute error = 8.881784197001252e-16 relative error = 5.473958354896707e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.622552387351666 y1[1] (numeric) = 1.622552387351666 absolute error = 6.661338147750939e-16 relative error = 4.105468766172531e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6730000000000005 y2[1] (analytic) = 1.623334654072161 y2[1] (numeric) = 1.62333465407216 absolute error = 8.881784197001252e-16 relative error = 5.471320515902962e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.623334654072161 y1[1] (numeric) = 1.62333465407216 absolute error = 6.661338147750939e-16 relative error = 4.103490386927221e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6740000000000005 y2[1] (analytic) = 1.624116297458053 y2[1] (numeric) = 1.624116297458053 absolute error = 6.661338147750939e-16 relative error = 4.101515487638892e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.624116297458053 y1[1] (numeric) = 1.624116297458053 absolute error = 4.440892098500626e-16 relative error = 2.734343658425928e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6750000000000005 y2[1] (analytic) = 1.6248973167277 y2[1] (numeric) = 1.624897316727699 absolute error = 8.881784197001252e-16 relative error = 5.46605875064637e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.6248973167277 y1[1] (numeric) = 1.6248973167277 absolute error = 6.661338147750939e-16 relative error = 4.099544062984777e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6760000000000005 y2[1] (analytic) = 1.625677711100082 y2[1] (numeric) = 1.625677711100082 absolute error = 6.661338147750939e-16 relative error = 4.097576107654984e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.625677711100082 y1[1] (numeric) = 1.625677711100082 absolute error = 4.440892098500626e-16 relative error = 2.731717405103323e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6770000000000005 y2[1] (analytic) = 1.626457479794806 y2[1] (numeric) = 1.626457479794805 absolute error = 8.881784197001252e-16 relative error = 5.460815488469935e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.626457479794806 y1[1] (numeric) = 1.626457479794805 absolute error = 6.661338147750939e-16 relative error = 4.095611616352451e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6780000000000005 y2[1] (analytic) = 1.627236622032102 y2[1] (numeric) = 1.627236622032101 absolute error = 6.661338147750939e-16 relative error = 4.093650583792925e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.627236622032102 y1[1] (numeric) = 1.627236622032101 absolute error = 4.440892098500626e-16 relative error = 2.729100389195283e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6790000000000005 y2[1] (analytic) = 1.628015137032828 y2[1] (numeric) = 1.628015137032827 absolute error = 6.661338147750939e-16 relative error = 4.091693004704918e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.628015137032828 y1[1] (numeric) = 1.628015137032827 absolute error = 4.440892098500626e-16 relative error = 2.727795336469945e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y2[1] (analytic) = 1.628793024018469 y2[1] (numeric) = 1.628793024018468 absolute error = 8.881784197001252e-16 relative error = 5.452985165106246e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.628793024018469 y1[1] (numeric) = 1.628793024018468 absolute error = 6.661338147750939e-16 relative error = 4.089738873829684e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6810000000000005 y2[1] (analytic) = 1.629570282211139 y2[1] (numeric) = 1.629570282211138 absolute error = 8.881784197001252e-16 relative error = 5.45038424789491e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.629570282211139 y1[1] (numeric) = 1.629570282211138 absolute error = 6.661338147750939e-16 relative error = 4.087788185921182e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6820000000000005 y2[1] (analytic) = 1.630346910833578 y2[1] (numeric) = 1.630346910833578 absolute error = 6.661338147750939e-16 relative error = 4.085840935746043e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.630346910833578 y1[1] (numeric) = 1.630346910833578 absolute error = 4.440892098500626e-16 relative error = 2.723893957164029e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6830000000000005 y2[1] (analytic) = 1.63112290910916 y2[1] (numeric) = 1.631122909109159 absolute error = 6.661338147750939e-16 relative error = 4.08389711808354e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.63112290910916 y1[1] (numeric) = 1.63112290910916 absolute error = 4.440892098500626e-16 relative error = 2.72259807872236e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6840000000000005 y2[1] (analytic) = 1.631898276261885 y2[1] (numeric) = 1.631898276261885 absolute error = 6.661338147750939e-16 relative error = 4.081956727725555e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.631898276261885 y1[1] (numeric) = 1.631898276261885 absolute error = 4.440892098500626e-16 relative error = 2.72130448515037e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6850000000000005 y2[1] (analytic) = 1.632673011516387 y2[1] (numeric) = 1.632673011516386 absolute error = 6.661338147750939e-16 relative error = 4.080019759476548e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.632673011516387 y1[1] (numeric) = 1.632673011516386 absolute error = 4.440892098500626e-16 relative error = 2.720013172984365e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6860000000000005 y2[1] (analytic) = 1.633447114097929 y2[1] (numeric) = 1.633447114097929 absolute error = 6.661338147750939e-16 relative error = 4.078086208153522e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.633447114097929 y1[1] (numeric) = 1.633447114097929 absolute error = 4.440892098500626e-16 relative error = 2.718724138769015e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6870000000000005 y2[1] (analytic) = 1.634220583232411 y2[1] (numeric) = 1.63422058323241 absolute error = 6.661338147750939e-16 relative error = 4.076156068585997e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.634220583232411 y1[1] (numeric) = 1.63422058323241 absolute error = 4.440892098500626e-16 relative error = 2.717437379057331e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6880000000000005 y2[1] (analytic) = 1.634993418146362 y2[1] (numeric) = 1.634993418146361 absolute error = 6.661338147750939e-16 relative error = 4.074229335615972e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.634993418146362 y1[1] (numeric) = 1.634993418146361 absolute error = 4.440892098500626e-16 relative error = 2.716152890410648e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6890000000000005 y2[1] (analytic) = 1.635765618066948 y2[1] (numeric) = 1.635765618066947 absolute error = 4.440892098500626e-16 relative error = 2.714870669398599e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.635765618066948 y1[1] (numeric) = 1.635765618066947 absolute error = 2.220446049250313e-16 relative error = 1.357435334699299e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y2[1] (analytic) = 1.636537182221968 y2[1] (numeric) = 1.636537182221968 absolute error = 4.440892098500626e-16 relative error = 2.713590712599095e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.636537182221968 y1[1] (numeric) = 1.636537182221968 absolute error = 2.220446049250313e-16 relative error = 1.356795356299548e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6910000000000005 y2[1] (analytic) = 1.63730810983986 y2[1] (numeric) = 1.637308109839859 absolute error = 4.440892098500626e-16 relative error = 2.712313016598309e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.63730810983986 y1[1] (numeric) = 1.63730810983986 absolute error = 2.220446049250313e-16 relative error = 1.356156508299155e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6920000000000005 y2[1] (analytic) = 1.638078400149695 y2[1] (numeric) = 1.638078400149694 absolute error = 4.440892098500626e-16 relative error = 2.711037577990649e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.638078400149695 y1[1] (numeric) = 1.638078400149694 absolute error = 2.220446049250313e-16 relative error = 1.355518788995325e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6930000000000005 y2[1] (analytic) = 1.638848052381182 y2[1] (numeric) = 1.638848052381182 absolute error = 4.440892098500626e-16 relative error = 2.709764393378741e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.638848052381182 y1[1] (numeric) = 1.638848052381182 absolute error = 2.220446049250313e-16 relative error = 1.354882196689371e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6940000000000005 y2[1] (analytic) = 1.639617065764671 y2[1] (numeric) = 1.63961706576467 absolute error = 6.661338147750939e-16 relative error = 4.062740189060108e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.639617065764671 y1[1] (numeric) = 1.639617065764671 absolute error = 2.220446049250313e-16 relative error = 1.354246729686703e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6950000000000005 y2[1] (analytic) = 1.640385439531147 y2[1] (numeric) = 1.640385439531147 absolute error = 4.440892098500626e-16 relative error = 2.707224772593639e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.640385439531147 y1[1] (numeric) = 1.640385439531147 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6960000000000005 y2[1] (analytic) = 1.641153172912237 y2[1] (numeric) = 1.641153172912237 absolute error = 4.440892098500626e-16 relative error = 2.705958329666593e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.641153172912237 y1[1] (numeric) = 1.641153172912237 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6970000000000005 y2[1] (analytic) = 1.641920265140208 y2[1] (numeric) = 1.641920265140207 absolute error = 4.440892098500626e-16 relative error = 2.704694127227553e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.641920265140208 y1[1] (numeric) = 1.641920265140208 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6980000000000005 y2[1] (analytic) = 1.642686715447967 y2[1] (numeric) = 1.642686715447966 absolute error = 4.440892098500626e-16 relative error = 2.703432161919918e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.642686715447967 y1[1] (numeric) = 1.642686715447967 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6990000000000005 y2[1] (analytic) = 1.643452523069064 y2[1] (numeric) = 1.643452523069063 absolute error = 6.661338147750939e-16 relative error = 4.053258645592773e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.643452523069064 y1[1] (numeric) = 1.643452523069064 absolute error = 2.220446049250313e-16 relative error = 1.351086215197591e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y2[1] (analytic) = 1.644217687237691 y2[1] (numeric) = 1.644217687237691 absolute error = 6.661338147750939e-16 relative error = 4.051372393969365e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.644217687237691 y1[1] (numeric) = 1.644217687237691 absolute error = 2.220446049250313e-16 relative error = 1.350457464656455e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7010000000000005 y2[1] (analytic) = 1.644982207188685 y2[1] (numeric) = 1.644982207188685 absolute error = 6.661338147750939e-16 relative error = 4.049489483011082e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.644982207188685 y1[1] (numeric) = 1.644982207188685 absolute error = 2.220446049250313e-16 relative error = 1.349829827670361e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7020000000000005 y2[1] (analytic) = 1.645746082157526 y2[1] (numeric) = 1.645746082157525 absolute error = 6.661338147750939e-16 relative error = 4.047609907731401e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.645746082157526 y1[1] (numeric) = 1.645746082157526 absolute error = 2.220446049250313e-16 relative error = 1.349203302577134e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7030000000000005 y2[1] (analytic) = 1.646509311380338 y2[1] (numeric) = 1.646509311380338 absolute error = 6.661338147750939e-16 relative error = 4.045733663155818e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.646509311380338 y1[1] (numeric) = 1.646509311380338 absolute error = 2.220446049250313e-16 relative error = 1.348577887718606e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7040000000000005 y2[1] (analytic) = 1.647271894093893 y2[1] (numeric) = 1.647271894093892 absolute error = 8.881784197001252e-16 relative error = 5.391814325762422e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.647271894093893 y1[1] (numeric) = 1.647271894093893 absolute error = 4.440892098500626e-16 relative error = 2.695907162881211e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7050000000000005 y2[1] (analytic) = 1.648033829535608 y2[1] (numeric) = 1.648033829535607 absolute error = 8.881784197001252e-16 relative error = 5.389321528371788e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.648033829535608 y1[1] (numeric) = 1.648033829535607 absolute error = 4.440892098500626e-16 relative error = 2.694660764185894e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7060000000000005 y2[1] (analytic) = 1.648795116943547 y2[1] (numeric) = 1.648795116943546 absolute error = 8.881784197001252e-16 relative error = 5.386833152117685e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.648795116943547 y1[1] (numeric) = 1.648795116943546 absolute error = 4.440892098500626e-16 relative error = 2.693416576058842e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7070000000000005 y2[1] (analytic) = 1.649555755556423 y2[1] (numeric) = 1.649555755556422 absolute error = 8.881784197001252e-16 relative error = 5.38434919043114e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.649555755556423 y1[1] (numeric) = 1.649555755556422 absolute error = 4.440892098500626e-16 relative error = 2.69217459521557e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7080000000000005 y2[1] (analytic) = 1.650315744613598 y2[1] (numeric) = 1.650315744613597 absolute error = 8.881784197001252e-16 relative error = 5.381869636759007e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.650315744613598 y1[1] (numeric) = 1.650315744613597 absolute error = 4.440892098500626e-16 relative error = 2.690934818379503e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7090000000000005 y2[1] (analytic) = 1.651075083355082 y2[1] (numeric) = 1.651075083355081 absolute error = 6.661338147750939e-16 relative error = 4.034545863422945e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.651075083355082 y1[1] (numeric) = 1.651075083355082 absolute error = 2.220446049250313e-16 relative error = 1.344848621140982e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y2[1] (analytic) = 1.651833771021537 y2[1] (numeric) = 1.651833771021536 absolute error = 8.881784197001252e-16 relative error = 5.376923727324284e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.651833771021537 y1[1] (numeric) = 1.651833771021537 absolute error = 4.440892098500626e-16 relative error = 2.688461863662142e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7110000000000005 y2[1] (analytic) = 1.652591806854276 y2[1] (numeric) = 1.652591806854275 absolute error = 6.661338147750939e-16 relative error = 4.030843018900633e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.652591806854276 y1[1] (numeric) = 1.652591806854275 absolute error = 2.220446049250313e-16 relative error = 1.343614339633544e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7120000000000005 y2[1] (analytic) = 1.653349190095262 y2[1] (numeric) = 1.653349190095261 absolute error = 8.881784197001252e-16 relative error = 5.371995371703365e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.653349190095262 y1[1] (numeric) = 1.653349190095261 absolute error = 4.440892098500626e-16 relative error = 2.685997685851682e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7130000000000005 y2[1] (analytic) = 1.654105919987112 y2[1] (numeric) = 1.654105919987111 absolute error = 6.661338147750939e-16 relative error = 4.027153320267932e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.654105919987112 y1[1] (numeric) = 1.654105919987112 absolute error = 2.220446049250313e-16 relative error = 1.34238444008931e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7140000000000005 y2[1] (analytic) = 1.654861995773097 y2[1] (numeric) = 1.654861995773096 absolute error = 6.661338147750939e-16 relative error = 4.025313388527592e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.654861995773097 y1[1] (numeric) = 1.654861995773097 absolute error = 2.220446049250313e-16 relative error = 1.341771129509197e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7150000000000005 y2[1] (analytic) = 1.655617416697141 y2[1] (numeric) = 1.65561741669714 absolute error = 6.661338147750939e-16 relative error = 4.023476728723908e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.655617416697141 y1[1] (numeric) = 1.65561741669714 absolute error = 2.220446049250313e-16 relative error = 1.341158909574636e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7160000000000005 y2[1] (analytic) = 1.656372182003822 y2[1] (numeric) = 1.656372182003822 absolute error = 6.661338147750939e-16 relative error = 4.021643336035914e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.656372182003822 y1[1] (numeric) = 1.656372182003822 absolute error = 2.220446049250313e-16 relative error = 1.340547778678638e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7170000000000005 y2[1] (analytic) = 1.657126290938377 y2[1] (numeric) = 1.657126290938376 absolute error = 4.440892098500626e-16 relative error = 2.679875470436169e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.657126290938377 y1[1] (numeric) = 1.657126290938377 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7180000000000005 y2[1] (analytic) = 1.657879742746695 y2[1] (numeric) = 1.657879742746694 absolute error = 6.661338147750939e-16 relative error = 4.017986332781144e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.657879742746695 y1[1] (numeric) = 1.657879742746695 absolute error = 2.220446049250313e-16 relative error = 1.339328777593715e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7190000000000005 y2[1] (analytic) = 1.658632536675325 y2[1] (numeric) = 1.658632536675325 absolute error = 6.661338147750939e-16 relative error = 4.016162712630354e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.658632536675325 y1[1] (numeric) = 1.658632536675325 absolute error = 2.220446049250313e-16 relative error = 1.338720904210118e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y2[1] (analytic) = 1.659384671971474 y2[1] (numeric) = 1.659384671971473 absolute error = 6.661338147750939e-16 relative error = 4.014342340427172e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.659384671971474 y1[1] (numeric) = 1.659384671971473 absolute error = 2.220446049250313e-16 relative error = 1.338114113475724e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7210000000000005 y2[1] (analytic) = 1.660136147883005 y2[1] (numeric) = 1.660136147883004 absolute error = 6.661338147750939e-16 relative error = 4.012525211408374e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.660136147883005 y1[1] (numeric) = 1.660136147883005 absolute error = 2.220446049250313e-16 relative error = 1.337508403802791e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7220000000000005 y2[1] (analytic) = 1.660886963658444 y2[1] (numeric) = 1.660886963658443 absolute error = 6.661338147750939e-16 relative error = 4.010711320822206e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.660886963658444 y1[1] (numeric) = 1.660886963658443 absolute error = 2.220446049250313e-16 relative error = 1.336903773607402e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7230000000000005 y2[1] (analytic) = 1.661637118546974 y2[1] (numeric) = 1.661637118546973 absolute error = 6.661338147750939e-16 relative error = 4.008900663928342e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.661637118546974 y1[1] (numeric) = 1.661637118546973 absolute error = 2.220446049250313e-16 relative error = 1.336300221309447e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7240000000000005 y2[1] (analytic) = 1.66238661179844 y2[1] (numeric) = 1.66238661179844 absolute error = 4.440892098500626e-16 relative error = 2.671395490665244e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.66238661179844 y1[1] (numeric) = 1.66238661179844 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7250000000000005 y2[1] (analytic) = 1.66313544266335 y2[1] (numeric) = 1.66313544266335 absolute error = 4.440892098500626e-16 relative error = 2.670192688208826e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.66313544266335 y1[1] (numeric) = 1.66313544266335 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7260000000000005 y2[1] (analytic) = 1.663883610392873 y2[1] (numeric) = 1.663883610392872 absolute error = 6.661338147750939e-16 relative error = 4.003488048168272e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.663883610392873 y1[1] (numeric) = 1.663883610392872 absolute error = 2.220446049250313e-16 relative error = 1.334496016056091e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7270000000000005 y2[1] (analytic) = 1.66463111423884 y2[1] (numeric) = 1.664631114238839 absolute error = 6.661338147750939e-16 relative error = 4.001690278868099e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.66463111423884 y1[1] (numeric) = 1.66463111423884 absolute error = 2.220446049250313e-16 relative error = 1.3338967596227e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7280000000000005 y2[1] (analytic) = 1.665377953453749 y2[1] (numeric) = 1.665377953453748 absolute error = 6.661338147750939e-16 relative error = 3.999895719729149e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.665377953453749 y1[1] (numeric) = 1.665377953453749 absolute error = 2.220446049250313e-16 relative error = 1.33329857324305e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7290000000000005 y2[1] (analytic) = 1.666124127290759 y2[1] (numeric) = 1.666124127290759 absolute error = 6.661338147750939e-16 relative error = 3.998104366079114e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.666124127290759 y1[1] (numeric) = 1.666124127290759 absolute error = 2.220446049250313e-16 relative error = 1.332701455359705e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y2[1] (analytic) = 1.666869635003698 y2[1] (numeric) = 1.666869635003698 absolute error = 6.661338147750939e-16 relative error = 3.996316213256929e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.666869635003698 y1[1] (numeric) = 1.666869635003698 absolute error = 2.220446049250313e-16 relative error = 1.332105404418976e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7310000000000005 y2[1] (analytic) = 1.667614475847058 y2[1] (numeric) = 1.667614475847057 absolute error = 6.661338147750939e-16 relative error = 3.994531256612737e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.667614475847058 y1[1] (numeric) = 1.667614475847057 absolute error = 2.220446049250313e-16 relative error = 1.331510418870913e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7320000000000005 y2[1] (analytic) = 1.668358649075997 y2[1] (numeric) = 1.668358649075996 absolute error = 6.661338147750939e-16 relative error = 3.992749491507867e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.668358649075997 y1[1] (numeric) = 1.668358649075997 absolute error = 2.220446049250313e-16 relative error = 1.330916497169289e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7330000000000005 y2[1] (analytic) = 1.669102153946343 y2[1] (numeric) = 1.669102153946342 absolute error = 4.440892098500626e-16 relative error = 2.660647275543202e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.669102153946343 y1[1] (numeric) = 1.669102153946343 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7340000000000005 y2[1] (analytic) = 1.66984498971459 y2[1] (numeric) = 1.66984498971459 absolute error = 4.440892098500626e-16 relative error = 2.659463678278103e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.66984498971459 y1[1] (numeric) = 1.66984498971459 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7350000000000005 y2[1] (analytic) = 1.670587155637904 y2[1] (numeric) = 1.670587155637904 absolute error = 4.440892098500626e-16 relative error = 2.658282199473093e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.670587155637904 y1[1] (numeric) = 1.670587155637904 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7360000000000005 y2[1] (analytic) = 1.671328650974118 y2[1] (numeric) = 1.671328650974118 absolute error = 4.440892098500626e-16 relative error = 2.657102836065363e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.671328650974118 y1[1] (numeric) = 1.671328650974118 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7370000000000005 y2[1] (analytic) = 1.672069474981737 y2[1] (numeric) = 1.672069474981737 absolute error = 4.440892098500626e-16 relative error = 2.65592558499947e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.672069474981737 y1[1] (numeric) = 1.672069474981737 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7380000000000005 y2[1] (analytic) = 1.672809626919937 y2[1] (numeric) = 1.672809626919937 absolute error = 4.440892098500626e-16 relative error = 2.654750443227317e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.672809626919937 y1[1] (numeric) = 1.672809626919937 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7390000000000005 y2[1] (analytic) = 1.673549106048566 y2[1] (numeric) = 1.673549106048566 absolute error = 6.661338147750939e-16 relative error = 3.980366111562207e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.673549106048566 y1[1] (numeric) = 1.673549106048566 absolute error = 2.220446049250313e-16 relative error = 1.326788703854069e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y2[1] (analytic) = 1.674287911628145 y2[1] (numeric) = 1.674287911628145 absolute error = 6.661338147750939e-16 relative error = 3.978609713112713e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.674287911628145 y1[1] (numeric) = 1.674287911628145 absolute error = 2.220446049250313e-16 relative error = 1.326203237704238e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7410000000000005 y2[1] (analytic) = 1.675026042919869 y2[1] (numeric) = 1.675026042919869 absolute error = 6.661338147750939e-16 relative error = 3.976856464953248e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.675026042919869 y1[1] (numeric) = 1.675026042919869 absolute error = 2.220446049250313e-16 relative error = 1.325618821651083e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7420000000000005 y2[1] (analytic) = 1.675763499185606 y2[1] (numeric) = 1.675763499185606 absolute error = 4.440892098500626e-16 relative error = 2.65007090837032e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.675763499185606 y1[1] (numeric) = 1.675763499185606 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7430000000000005 y2[1] (analytic) = 1.676500279687901 y2[1] (numeric) = 1.6765002796879 absolute error = 6.661338147750939e-16 relative error = 3.973359401401962e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.676500279687901 y1[1] (numeric) = 1.6765002796879 absolute error = 2.220446049250313e-16 relative error = 1.324453133800654e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7440000000000005 y2[1] (analytic) = 1.677236383689972 y2[1] (numeric) = 1.677236383689971 absolute error = 4.440892098500626e-16 relative error = 2.647743717990739e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.677236383689972 y1[1] (numeric) = 1.677236383689972 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7450000000000006 y2[1] (analytic) = 1.677971810455715 y2[1] (numeric) = 1.677971810455715 absolute error = 4.440892098500626e-16 relative error = 2.646583256541442e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.677971810455715 y1[1] (numeric) = 1.677971810455715 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7460000000000006 y2[1] (analytic) = 1.678706559249705 y2[1] (numeric) = 1.678706559249705 absolute error = 4.440892098500626e-16 relative error = 2.645424880263454e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.678706559249705 y1[1] (numeric) = 1.678706559249705 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7470000000000006 y2[1] (analytic) = 1.679440629337192 y2[1] (numeric) = 1.679440629337192 absolute error = 4.440892098500626e-16 relative error = 2.644268586173998e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.679440629337192 y1[1] (numeric) = 1.679440629337192 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7480000000000006 y2[1] (analytic) = 1.680174019984106 y2[1] (numeric) = 1.680174019984106 absolute error = 4.440892098500626e-16 relative error = 2.643114371297465e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.680174019984106 y1[1] (numeric) = 1.680174019984106 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7490000000000006 y2[1] (analytic) = 1.680906730457057 y2[1] (numeric) = 1.680906730457057 absolute error = 4.440892098500626e-16 relative error = 2.641962232665401e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.680906730457057 y1[1] (numeric) = 1.680906730457057 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y2[1] (analytic) = 1.681638760023335 y2[1] (numeric) = 1.681638760023334 absolute error = 4.440892098500626e-16 relative error = 2.640812167316483e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.681638760023335 y1[1] (numeric) = 1.681638760023335 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7510000000000006 y2[1] (analytic) = 1.682370107950909 y2[1] (numeric) = 1.682370107950908 absolute error = 2.220446049250313e-16 relative error = 1.319832086148255e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.682370107950909 y1[1] (numeric) = 1.682370107950909 absolute error = 2.220446049250313e-16 relative error = 1.319832086148255e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7520000000000006 y2[1] (analytic) = 1.683100773508432 y2[1] (numeric) = 1.683100773508431 absolute error = 2.220446049250313e-16 relative error = 1.319259122329189e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.683100773508432 y1[1] (numeric) = 1.683100773508432 absolute error = 2.220446049250313e-16 relative error = 1.319259122329189e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7530000000000006 y2[1] (analytic) = 1.683830755965238 y2[1] (numeric) = 1.683830755965238 absolute error = 4.440892098500626e-16 relative error = 2.637374381462068e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.683830755965238 y1[1] (numeric) = 1.683830755965238 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7540000000000006 y2[1] (analytic) = 1.684560054591346 y2[1] (numeric) = 1.684560054591345 absolute error = 4.440892098500626e-16 relative error = 2.636232579774625e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.684560054591346 y1[1] (numeric) = 1.684560054591346 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7550000000000006 y2[1] (analytic) = 1.685288668657455 y2[1] (numeric) = 1.685288668657455 absolute error = 4.440892098500626e-16 relative error = 2.635092836670145e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.685288668657455 y1[1] (numeric) = 1.685288668657455 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7560000000000006 y2[1] (analytic) = 1.686016597434954 y2[1] (numeric) = 1.686016597434953 absolute error = 4.440892098500626e-16 relative error = 2.633955149229754e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.686016597434954 y1[1] (numeric) = 1.686016597434954 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7570000000000006 y2[1] (analytic) = 1.686743840195912 y2[1] (numeric) = 1.686743840195911 absolute error = 2.220446049250313e-16 relative error = 1.316409757270798e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.686743840195912 y1[1] (numeric) = 1.686743840195912 absolute error = 2.220446049250313e-16 relative error = 1.316409757270798e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7580000000000006 y2[1] (analytic) = 1.687470396213087 y2[1] (numeric) = 1.687470396213087 absolute error = 2.220446049250313e-16 relative error = 1.315842964850403e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.687470396213087 y1[1] (numeric) = 1.687470396213087 absolute error = 2.220446049250313e-16 relative error = 1.315842964850403e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7590000000000006 y2[1] (analytic) = 1.688196264759923 y2[1] (numeric) = 1.688196264759923 absolute error = 2.220446049250313e-16 relative error = 1.315277195904755e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.688196264759923 y1[1] (numeric) = 1.688196264759923 absolute error = 2.220446049250313e-16 relative error = 1.315277195904755e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y2[1] (analytic) = 1.688921445110552 y2[1] (numeric) = 1.688921445110551 absolute error = 2.220446049250313e-16 relative error = 1.314712448988395e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.688921445110552 y1[1] (numeric) = 1.688921445110552 absolute error = 2.220446049250313e-16 relative error = 1.314712448988395e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7610000000000006 y2[1] (analytic) = 1.689645936539793 y2[1] (numeric) = 1.689645936539792 absolute error = 4.440892098500626e-16 relative error = 2.62829744531868e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.689645936539793 y1[1] (numeric) = 1.689645936539793 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7620000000000006 y2[1] (analytic) = 1.690369738323155 y2[1] (numeric) = 1.690369738323154 absolute error = 4.440892098500626e-16 relative error = 2.627172030958142e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.690369738323155 y1[1] (numeric) = 1.690369738323155 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7630000000000006 y2[1] (analytic) = 1.691092849736836 y2[1] (numeric) = 1.691092849736836 absolute error = 4.440892098500626e-16 relative error = 2.626048652025054e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.691092849736836 y1[1] (numeric) = 1.691092849736836 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7640000000000006 y2[1] (analytic) = 1.691815270057725 y2[1] (numeric) = 1.691815270057725 absolute error = 4.440892098500626e-16 relative error = 2.624927305656191e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.691815270057725 y1[1] (numeric) = 1.691815270057725 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7650000000000006 y2[1] (analytic) = 1.692536998563402 y2[1] (numeric) = 1.692536998563401 absolute error = 4.440892098500626e-16 relative error = 2.623807988995209e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.692536998563402 y1[1] (numeric) = 1.692536998563402 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7660000000000006 y2[1] (analytic) = 1.693258034532138 y2[1] (numeric) = 1.693258034532137 absolute error = 4.440892098500626e-16 relative error = 2.622690699192628e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.693258034532138 y1[1] (numeric) = 1.693258034532138 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7670000000000006 y2[1] (analytic) = 1.693978377242896 y2[1] (numeric) = 1.693978377242896 absolute error = 4.440892098500626e-16 relative error = 2.621575433405815e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.693978377242896 y1[1] (numeric) = 1.693978377242896 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7680000000000006 y2[1] (analytic) = 1.694698025975336 y2[1] (numeric) = 1.694698025975336 absolute error = 4.440892098500626e-16 relative error = 2.620462188798972e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.694698025975336 y1[1] (numeric) = 1.694698025975336 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7690000000000006 y2[1] (analytic) = 1.695416980009808 y2[1] (numeric) = 1.695416980009807 absolute error = 4.440892098500626e-16 relative error = 2.619350962543112e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.695416980009808 y1[1] (numeric) = 1.695416980009808 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y2[1] (analytic) = 1.696135238627357 y2[1] (numeric) = 1.696135238627357 absolute error = 4.440892098500626e-16 relative error = 2.61824175181605e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.696135238627357 y1[1] (numeric) = 1.696135238627357 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7710000000000006 y2[1] (analytic) = 1.696852801109726 y2[1] (numeric) = 1.696852801109725 absolute error = 4.440892098500626e-16 relative error = 2.617134553802383e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.696852801109726 y1[1] (numeric) = 1.696852801109726 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7720000000000006 y2[1] (analytic) = 1.697569666739352 y2[1] (numeric) = 1.697569666739351 absolute error = 4.440892098500626e-16 relative error = 2.616029365693473e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.697569666739352 y1[1] (numeric) = 1.697569666739352 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7730000000000006 y2[1] (analytic) = 1.698285834799369 y2[1] (numeric) = 1.698285834799369 absolute error = 4.440892098500626e-16 relative error = 2.614926184687433e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.698285834799369 y1[1] (numeric) = 1.698285834799369 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7740000000000006 y2[1] (analytic) = 1.69900130457361 y2[1] (numeric) = 1.699001304573609 absolute error = 4.440892098500626e-16 relative error = 2.613825007989111e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.69900130457361 y1[1] (numeric) = 1.69900130457361 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7750000000000006 y2[1] (analytic) = 1.699716075346604 y2[1] (numeric) = 1.699716075346603 absolute error = 4.440892098500626e-16 relative error = 2.612725832810074e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.699716075346604 y1[1] (numeric) = 1.699716075346604 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7760000000000006 y2[1] (analytic) = 1.700430146403581 y2[1] (numeric) = 1.700430146403581 absolute error = 4.440892098500626e-16 relative error = 2.611628656368588e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.700430146403581 y1[1] (numeric) = 1.700430146403581 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7770000000000006 y2[1] (analytic) = 1.701143517030471 y2[1] (numeric) = 1.70114351703047 absolute error = 6.661338147750939e-16 relative error = 3.915800213834412e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.701143517030471 y1[1] (numeric) = 1.70114351703047 absolute error = 2.220446049250313e-16 relative error = 1.305266737944804e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7780000000000006 y2[1] (analytic) = 1.701856186513901 y2[1] (numeric) = 1.7018561865139 absolute error = 6.661338147750939e-16 relative error = 3.914160432907136e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.701856186513901 y1[1] (numeric) = 1.701856186513901 absolute error = 2.220446049250313e-16 relative error = 1.304720144302379e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7790000000000006 y2[1] (analytic) = 1.702568154141204 y2[1] (numeric) = 1.702568154141203 absolute error = 6.661338147750939e-16 relative error = 3.912523637628474e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.702568154141204 y1[1] (numeric) = 1.702568154141203 absolute error = 2.220446049250313e-16 relative error = 1.304174545876158e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y2[1] (analytic) = 1.703279419200411 y2[1] (numeric) = 1.70327941920041 absolute error = 6.661338147750939e-16 relative error = 3.910889823865802e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.703279419200411 y1[1] (numeric) = 1.70327941920041 absolute error = 2.220446049250313e-16 relative error = 1.303629941288601e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7810000000000006 y2[1] (analytic) = 1.703989980980257 y2[1] (numeric) = 1.703989980980256 absolute error = 6.661338147750939e-16 relative error = 3.909258987496429e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.703989980980257 y1[1] (numeric) = 1.703989980980257 absolute error = 2.220446049250313e-16 relative error = 1.303086329165476e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7820000000000006 y2[1] (analytic) = 1.704699838770181 y2[1] (numeric) = 1.70469983877018 absolute error = 6.661338147750939e-16 relative error = 3.907631124407578e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.704699838770181 y1[1] (numeric) = 1.704699838770181 absolute error = 2.220446049250313e-16 relative error = 1.302543708135859e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7830000000000006 y2[1] (analytic) = 1.705408991860325 y2[1] (numeric) = 1.705408991860324 absolute error = 6.661338147750939e-16 relative error = 3.906006230496356e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.705408991860325 y1[1] (numeric) = 1.705408991860325 absolute error = 2.220446049250313e-16 relative error = 1.302002076832119e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7840000000000006 y2[1] (analytic) = 1.706117439541536 y2[1] (numeric) = 1.706117439541535 absolute error = 8.881784197001252e-16 relative error = 5.205845735559648e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.706117439541536 y1[1] (numeric) = 1.706117439541536 absolute error = 4.440892098500626e-16 relative error = 2.602922867779824e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7850000000000006 y2[1] (analytic) = 1.706825181105366 y2[1] (numeric) = 1.706825181105366 absolute error = 6.661338147750939e-16 relative error = 3.902765333844532e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.706825181105366 y1[1] (numeric) = 1.706825181105366 absolute error = 2.220446049250313e-16 relative error = 1.300921777948178e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7860000000000006 y2[1] (analytic) = 1.707532215844074 y2[1] (numeric) = 1.707532215844074 absolute error = 6.661338147750939e-16 relative error = 3.901149322947374e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.707532215844074 y1[1] (numeric) = 1.707532215844074 absolute error = 2.220446049250313e-16 relative error = 1.300383107649124e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7870000000000006 y2[1] (analytic) = 1.708238543050626 y2[1] (numeric) = 1.708238543050625 absolute error = 4.440892098500626e-16 relative error = 2.599690843276457e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.708238543050626 y1[1] (numeric) = 1.708238543050626 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7880000000000006 y2[1] (analytic) = 1.708944162018693 y2[1] (numeric) = 1.708944162018692 absolute error = 4.440892098500626e-16 relative error = 2.598617437128441e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.708944162018693 y1[1] (numeric) = 1.708944162018693 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7890000000000006 y2[1] (analytic) = 1.709649072042657 y2[1] (numeric) = 1.709649072042656 absolute error = 4.440892098500626e-16 relative error = 2.597545994158164e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.709649072042657 y1[1] (numeric) = 1.709649072042657 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y2[1] (analytic) = 1.710353272417608 y2[1] (numeric) = 1.710353272417608 absolute error = 4.440892098500626e-16 relative error = 2.596476511676072e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.710353272417608 y1[1] (numeric) = 1.710353272417608 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7910000000000006 y2[1] (analytic) = 1.711056762439346 y2[1] (numeric) = 1.711056762439346 absolute error = 4.440892098500626e-16 relative error = 2.595408986999078e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.711056762439346 y1[1] (numeric) = 1.711056762439346 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7920000000000006 y2[1] (analytic) = 1.711759541404381 y2[1] (numeric) = 1.711759541404381 absolute error = 4.440892098500626e-16 relative error = 2.594343417450549e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.711759541404381 y1[1] (numeric) = 1.711759541404381 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7930000000000006 y2[1] (analytic) = 1.712461608609934 y2[1] (numeric) = 1.712461608609934 absolute error = 4.440892098500626e-16 relative error = 2.593279800360287e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.712461608609934 y1[1] (numeric) = 1.712461608609934 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7940000000000006 y2[1] (analytic) = 1.713162963353938 y2[1] (numeric) = 1.713162963353937 absolute error = 4.440892098500626e-16 relative error = 2.592218133064521e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.713162963353938 y1[1] (numeric) = 1.713162963353938 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7950000000000006 y2[1] (analytic) = 1.713863604935037 y2[1] (numeric) = 1.713863604935037 absolute error = 4.440892098500626e-16 relative error = 2.591158412905883e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.713863604935037 y1[1] (numeric) = 1.713863604935037 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7960000000000006 y2[1] (analytic) = 1.714563532652591 y2[1] (numeric) = 1.714563532652591 absolute error = 4.440892098500626e-16 relative error = 2.5901006372334e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.714563532652591 y1[1] (numeric) = 1.714563532652591 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7970000000000006 y2[1] (analytic) = 1.715262745806672 y2[1] (numeric) = 1.715262745806672 absolute error = 4.440892098500626e-16 relative error = 2.589044803402475e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.715262745806672 y1[1] (numeric) = 1.715262745806672 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7980000000000006 y2[1] (analytic) = 1.715961243698067 y2[1] (numeric) = 1.715961243698067 absolute error = 4.440892098500626e-16 relative error = 2.587990908774875e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.715961243698067 y1[1] (numeric) = 1.715961243698067 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7990000000000006 y2[1] (analytic) = 1.716659025628278 y2[1] (numeric) = 1.716659025628278 absolute error = 6.661338147750939e-16 relative error = 3.880408426078069e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.716659025628278 y1[1] (numeric) = 1.716659025628278 absolute error = 2.220446049250313e-16 relative error = 1.293469475359356e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y2[1] (analytic) = 1.717356090899523 y2[1] (numeric) = 1.717356090899523 absolute error = 4.440892098500626e-16 relative error = 2.585888926608435e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.717356090899523 y1[1] (numeric) = 1.717356090899523 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8010000000000006 y2[1] (analytic) = 1.718052438814737 y2[1] (numeric) = 1.718052438814736 absolute error = 4.440892098500626e-16 relative error = 2.584840833824806e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.718052438814737 y1[1] (numeric) = 1.718052438814737 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8020000000000006 y2[1] (analytic) = 1.718748068677572 y2[1] (numeric) = 1.718748068677571 absolute error = 4.440892098500626e-16 relative error = 2.583794669754893e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.718748068677572 y1[1] (numeric) = 1.718748068677572 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8030000000000006 y2[1] (analytic) = 1.719442979792398 y2[1] (numeric) = 1.719442979792397 absolute error = 6.661338147750939e-16 relative error = 3.874125647688076e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.719442979792398 y1[1] (numeric) = 1.719442979792398 absolute error = 2.220446049250313e-16 relative error = 1.291375215896025e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8040000000000006 y2[1] (analytic) = 1.720137171464304 y2[1] (numeric) = 1.720137171464304 absolute error = 4.440892098500626e-16 relative error = 2.58170811733591e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.720137171464304 y1[1] (numeric) = 1.720137171464304 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8050000000000006 y2[1] (analytic) = 1.720830642999099 y2[1] (numeric) = 1.720830642999098 absolute error = 4.440892098500626e-16 relative error = 2.580667723792359e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.720830642999099 y1[1] (numeric) = 1.720830642999099 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8060000000000006 y2[1] (analytic) = 1.721523393703311 y2[1] (numeric) = 1.72152339370331 absolute error = 4.440892098500626e-16 relative error = 2.579629248573531e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.721523393703311 y1[1] (numeric) = 1.721523393703311 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8070000000000006 y2[1] (analytic) = 1.722215422884189 y2[1] (numeric) = 1.722215422884189 absolute error = 4.440892098500626e-16 relative error = 2.578592689097789e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.722215422884189 y1[1] (numeric) = 1.722215422884189 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8080000000000006 y2[1] (analytic) = 1.722906729849705 y2[1] (numeric) = 1.722906729849704 absolute error = 4.440892098500626e-16 relative error = 2.577558042789711e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.722906729849705 y1[1] (numeric) = 1.722906729849705 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8090000000000006 y2[1] (analytic) = 1.723597313908551 y2[1] (numeric) = 1.72359731390855 absolute error = 2.220446049250313e-16 relative error = 1.288262653540039e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.723597313908551 y1[1] (numeric) = 1.723597313908551 absolute error = 2.220446049250313e-16 relative error = 1.288262653540039e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y2[1] (analytic) = 1.724287174370143 y2[1] (numeric) = 1.724287174370143 absolute error = 2.220446049250313e-16 relative error = 1.287747239702928e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.724287174370143 y1[1] (numeric) = 1.724287174370143 absolute error = 2.220446049250313e-16 relative error = 1.287747239702928e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8110000000000006 y2[1] (analytic) = 1.724976310544621 y2[1] (numeric) = 1.724976310544621 absolute error = 2.220446049250313e-16 relative error = 1.287232778605092e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.724976310544621 y1[1] (numeric) = 1.724976310544621 absolute error = 2.220446049250313e-16 relative error = 1.287232778605092e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8120000000000006 y2[1] (analytic) = 1.72566472174285 y2[1] (numeric) = 1.725664721742849 absolute error = 4.440892098500626e-16 relative error = 2.573438537942359e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.72566472174285 y1[1] (numeric) = 1.72566472174285 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8130000000000006 y2[1] (analytic) = 1.726352407276416 y2[1] (numeric) = 1.726352407276416 absolute error = 4.440892098500626e-16 relative error = 2.572413419057821e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.726352407276416 y1[1] (numeric) = 1.726352407276416 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8140000000000006 y2[1] (analytic) = 1.727039366457637 y2[1] (numeric) = 1.727039366457636 absolute error = 4.440892098500626e-16 relative error = 2.57139019801814e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.727039366457637 y1[1] (numeric) = 1.727039366457637 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8150000000000006 y2[1] (analytic) = 1.727725598599551 y2[1] (numeric) = 1.727725598599551 absolute error = 4.440892098500626e-16 relative error = 2.570368872291003e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.727725598599551 y1[1] (numeric) = 1.727725598599551 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8160000000000006 y2[1] (analytic) = 1.728411103015927 y2[1] (numeric) = 1.728411103015927 absolute error = 4.440892098500626e-16 relative error = 2.569349439350196e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.728411103015927 y1[1] (numeric) = 1.728411103015927 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8170000000000006 y2[1] (analytic) = 1.729095879021261 y2[1] (numeric) = 1.729095879021261 absolute error = 4.440892098500626e-16 relative error = 2.568331896675592e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.729095879021261 y1[1] (numeric) = 1.729095879021261 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8180000000000006 y2[1] (analytic) = 1.729779925930777 y2[1] (numeric) = 1.729779925930777 absolute error = 4.440892098500626e-16 relative error = 2.567316241753139e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.729779925930777 y1[1] (numeric) = 1.729779925930777 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8190000000000006 y2[1] (analytic) = 1.730463243060428 y2[1] (numeric) = 1.730463243060427 absolute error = 4.440892098500626e-16 relative error = 2.566302472074843e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.730463243060428 y1[1] (numeric) = 1.730463243060428 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y2[1] (analytic) = 1.731145829726896 y2[1] (numeric) = 1.731145829726896 absolute error = 2.220446049250313e-16 relative error = 1.282645292569378e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.731145829726896 y1[1] (numeric) = 1.731145829726896 absolute error = 2.220446049250313e-16 relative error = 1.282645292569378e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8210000000000006 y2[1] (analytic) = 1.731827685247596 y2[1] (numeric) = 1.731827685247596 absolute error = 2.220446049250313e-16 relative error = 1.282140289224479e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.731827685247596 y1[1] (numeric) = 1.731827685247596 absolute error = 2.220446049250313e-16 relative error = 1.282140289224479e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8220000000000006 y2[1] (analytic) = 1.732508808940671 y2[1] (numeric) = 1.732508808940671 absolute error = 2.220446049250313e-16 relative error = 1.281636224757776e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.732508808940671 y1[1] (numeric) = 1.732508808940672 absolute error = 2.220446049250313e-16 relative error = 1.281636224757776e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8230000000000006 y2[1] (analytic) = 1.733189200124999 y2[1] (numeric) = 1.733189200124999 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.733189200124999 y1[1] (numeric) = 1.733189200124999 absolute error = 4.440892098500626e-16 relative error = 2.562266195854639e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8240000000000006 y2[1] (analytic) = 1.733868858120188 y2[1] (numeric) = 1.733868858120187 absolute error = 2.220446049250313e-16 relative error = 1.280630907494157e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.733868858120188 y1[1] (numeric) = 1.733868858120188 absolute error = 2.220446049250313e-16 relative error = 1.280630907494157e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8250000000000006 y2[1] (analytic) = 1.734547782246579 y2[1] (numeric) = 1.734547782246579 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.734547782246579 y1[1] (numeric) = 1.734547782246579 absolute error = 4.440892098500626e-16 relative error = 2.560259304444644e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8260000000000006 y2[1] (analytic) = 1.735225971825249 y2[1] (numeric) = 1.735225971825249 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.735225971825249 y1[1] (numeric) = 1.73522597182525 absolute error = 4.440892098500626e-16 relative error = 2.559258661757662e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8270000000000006 y2[1] (analytic) = 1.73590342617801 y2[1] (numeric) = 1.735903426178009 absolute error = 2.220446049250313e-16 relative error = 1.279129942233673e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.73590342617801 y1[1] (numeric) = 1.73590342617801 absolute error = 2.220446049250313e-16 relative error = 1.279129942233673e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8280000000000006 y2[1] (analytic) = 1.736580144627405 y2[1] (numeric) = 1.736580144627404 absolute error = 2.220446049250313e-16 relative error = 1.278631485059807e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.736580144627405 y1[1] (numeric) = 1.736580144627405 absolute error = 2.220446049250313e-16 relative error = 1.278631485059807e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8290000000000006 y2[1] (analytic) = 1.737256126496716 y2[1] (numeric) = 1.737256126496716 absolute error = 2.220446049250313e-16 relative error = 1.27813395813315e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.737256126496716 y1[1] (numeric) = 1.737256126496717 absolute error = 2.220446049250313e-16 relative error = 1.27813395813315e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y2[1] (analytic) = 1.737931371109963 y2[1] (numeric) = 1.737931371109963 absolute error = 2.220446049250313e-16 relative error = 1.277637360232575e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.737931371109963 y1[1] (numeric) = 1.737931371109963 absolute error = 2.220446049250313e-16 relative error = 1.277637360232575e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8310000000000006 y2[1] (analytic) = 1.7386058777919 y2[1] (numeric) = 1.7386058777919 absolute error = 2.220446049250313e-16 relative error = 1.277141690139901e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.7386058777919 y1[1] (numeric) = 1.7386058777919 absolute error = 2.220446049250313e-16 relative error = 1.277141690139901e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8320000000000006 y2[1] (analytic) = 1.739279645868021 y2[1] (numeric) = 1.739279645868021 absolute error = 4.440892098500626e-16 relative error = 2.553293893279774e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.739279645868021 y1[1] (numeric) = 1.739279645868021 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8330000000000006 y2[1] (analytic) = 1.739952674664558 y2[1] (numeric) = 1.739952674664557 absolute error = 4.440892098500626e-16 relative error = 2.552306257040455e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.739952674664558 y1[1] (numeric) = 1.739952674664558 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8340000000000006 y2[1] (analytic) = 1.740624963508482 y2[1] (numeric) = 1.740624963508481 absolute error = 4.440892098500626e-16 relative error = 2.551320469143086e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.740624963508482 y1[1] (numeric) = 1.740624963508482 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8350000000000006 y2[1] (analytic) = 1.741296511727503 y2[1] (numeric) = 1.741296511727503 absolute error = 4.440892098500626e-16 relative error = 2.550336527174749e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.741296511727503 y1[1] (numeric) = 1.741296511727503 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8360000000000006 y2[1] (analytic) = 1.741967318650075 y2[1] (numeric) = 1.741967318650075 absolute error = 6.661338147750939e-16 relative error = 3.824031643092531e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.741967318650075 y1[1] (numeric) = 1.741967318650075 absolute error = 2.220446049250313e-16 relative error = 1.274677214364177e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8370000000000006 y2[1] (analytic) = 1.742637383605391 y2[1] (numeric) = 1.74263738360539 absolute error = 6.661338147750939e-16 relative error = 3.822561257103938e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.742637383605391 y1[1] (numeric) = 1.74263738360539 absolute error = 2.220446049250313e-16 relative error = 1.274187085701313e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8380000000000006 y2[1] (analytic) = 1.743306705923384 y2[1] (numeric) = 1.743306705923383 absolute error = 4.440892098500626e-16 relative error = 2.547395752802088e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.743306705923384 y1[1] (numeric) = 1.743306705923384 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8390000000000006 y2[1] (analytic) = 1.743975284934733 y2[1] (numeric) = 1.743975284934733 absolute error = 4.440892098500626e-16 relative error = 2.546419170537054e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.743975284934733 y1[1] (numeric) = 1.743975284934733 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y2[1] (analytic) = 1.74464311997086 y2[1] (numeric) = 1.744643119970859 absolute error = 4.440892098500626e-16 relative error = 2.545444422223613e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.74464311997086 y1[1] (numeric) = 1.74464311997086 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8410000000000006 y2[1] (analytic) = 1.745310210363928 y2[1] (numeric) = 1.745310210363928 absolute error = 4.440892098500626e-16 relative error = 2.544471505483613e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.745310210363928 y1[1] (numeric) = 1.745310210363928 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8420000000000006 y2[1] (analytic) = 1.745976555446848 y2[1] (numeric) = 1.745976555446848 absolute error = 4.440892098500626e-16 relative error = 2.543500417944654e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.745976555446848 y1[1] (numeric) = 1.745976555446848 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8430000000000006 y2[1] (analytic) = 1.746642154553276 y2[1] (numeric) = 1.746642154553275 absolute error = 4.440892098500626e-16 relative error = 2.542531157240069e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.746642154553276 y1[1] (numeric) = 1.746642154553276 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8440000000000006 y2[1] (analytic) = 1.74730700701761 y2[1] (numeric) = 1.74730700701761 absolute error = 4.440892098500626e-16 relative error = 2.541563721008914e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.74730700701761 y1[1] (numeric) = 1.74730700701761 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8450000000000006 y2[1] (analytic) = 1.747971112175 y2[1] (numeric) = 1.747971112175 absolute error = 4.440892098500626e-16 relative error = 2.540598106895957e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.747971112175 y1[1] (numeric) = 1.747971112175 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8460000000000006 y2[1] (analytic) = 1.74863446936134 y2[1] (numeric) = 1.74863446936134 absolute error = 4.440892098500626e-16 relative error = 2.539634312551661e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.74863446936134 y1[1] (numeric) = 1.74863446936134 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8470000000000006 y2[1] (analytic) = 1.749297077913273 y2[1] (numeric) = 1.749297077913273 absolute error = 6.661338147750939e-16 relative error = 3.80800850344826e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.749297077913273 y1[1] (numeric) = 1.749297077913273 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8480000000000006 y2[1] (analytic) = 1.749958937168191 y2[1] (numeric) = 1.749958937168191 absolute error = 6.661338147750939e-16 relative error = 3.80656826069897e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.749958937168191 y1[1] (numeric) = 1.749958937168191 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8490000000000006 y2[1] (analytic) = 1.750620046464234 y2[1] (numeric) = 1.750620046464233 absolute error = 6.661338147750939e-16 relative error = 3.805130737080836e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.750620046464234 y1[1] (numeric) = 1.750620046464234 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y2[1] (analytic) = 1.751280405140293 y2[1] (numeric) = 1.751280405140292 absolute error = 6.661338147750939e-16 relative error = 3.803695929103545e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.751280405140293 y1[1] (numeric) = 1.751280405140293 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8510000000000006 y2[1] (analytic) = 1.75194001253601 y2[1] (numeric) = 1.751940012536009 absolute error = 6.661338147750939e-16 relative error = 3.802263833285228e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.75194001253601 y1[1] (numeric) = 1.75194001253601 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8520000000000006 y2[1] (analytic) = 1.752598867991776 y2[1] (numeric) = 1.752598867991776 absolute error = 6.661338147750939e-16 relative error = 3.800834446152453e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.752598867991776 y1[1] (numeric) = 1.752598867991776 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8530000000000006 y2[1] (analytic) = 1.753256970848738 y2[1] (numeric) = 1.753256970848737 absolute error = 6.661338147750939e-16 relative error = 3.799407764240195e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.753256970848738 y1[1] (numeric) = 1.753256970848738 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8540000000000006 y2[1] (analytic) = 1.753914320448791 y2[1] (numeric) = 1.75391432044879 absolute error = 6.661338147750939e-16 relative error = 3.797983784091824e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.753914320448791 y1[1] (numeric) = 1.753914320448791 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8550000000000006 y2[1] (analytic) = 1.754570916134587 y2[1] (numeric) = 1.754570916134586 absolute error = 6.661338147750939e-16 relative error = 3.796562502259084e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.754570916134587 y1[1] (numeric) = 1.754570916134587 absolute error = 2.220446049250313e-16 relative error = 1.265520834086361e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8560000000000006 y2[1] (analytic) = 1.755226757249529 y2[1] (numeric) = 1.755226757249528 absolute error = 6.661338147750939e-16 relative error = 3.795143915302073e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.755226757249529 y1[1] (numeric) = 1.755226757249529 absolute error = 2.220446049250313e-16 relative error = 1.265047971767358e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8570000000000007 y2[1] (analytic) = 1.755881843137777 y2[1] (numeric) = 1.755881843137777 absolute error = 6.661338147750939e-16 relative error = 3.793728019789228e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.755881843137777 y1[1] (numeric) = 1.755881843137777 absolute error = 2.220446049250313e-16 relative error = 1.264576006596409e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8580000000000007 y2[1] (analytic) = 1.756536173144245 y2[1] (numeric) = 1.756536173144244 absolute error = 8.881784197001252e-16 relative error = 5.056419749729736e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.756536173144245 y1[1] (numeric) = 1.756536173144245 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8590000000000007 y2[1] (analytic) = 1.757189746614603 y2[1] (numeric) = 1.757189746614602 absolute error = 8.881784197001252e-16 relative error = 5.054539052548464e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.757189746614603 y1[1] (numeric) = 1.757189746614603 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y2[1] (analytic) = 1.757842562895277 y2[1] (numeric) = 1.757842562895277 absolute error = 8.881784197001252e-16 relative error = 5.052661930299602e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.757842562895277 y1[1] (numeric) = 1.757842562895277 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8610000000000007 y2[1] (analytic) = 1.758494621333452 y2[1] (numeric) = 1.758494621333451 absolute error = 8.881784197001252e-16 relative error = 5.050788378451944e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.758494621333452 y1[1] (numeric) = 1.758494621333452 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8620000000000007 y2[1] (analytic) = 1.759145921277069 y2[1] (numeric) = 1.759145921277068 absolute error = 8.881784197001252e-16 relative error = 5.048918392485279e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.759145921277069 y1[1] (numeric) = 1.759145921277069 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8630000000000007 y2[1] (analytic) = 1.759796462074827 y2[1] (numeric) = 1.759796462074826 absolute error = 8.881784197001252e-16 relative error = 5.047051967890362e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.759796462074827 y1[1] (numeric) = 1.759796462074827 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8640000000000007 y2[1] (analytic) = 1.760446243076187 y2[1] (numeric) = 1.760446243076186 absolute error = 8.881784197001252e-16 relative error = 5.045189100168892e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.760446243076187 y1[1] (numeric) = 1.760446243076187 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8650000000000007 y2[1] (analytic) = 1.761095263631367 y2[1] (numeric) = 1.761095263631366 absolute error = 8.881784197001252e-16 relative error = 5.043329784833486e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.761095263631367 y1[1] (numeric) = 1.761095263631367 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8660000000000007 y2[1] (analytic) = 1.761743523091347 y2[1] (numeric) = 1.761743523091345 absolute error = 1.110223024625157e-15 relative error = 6.301842521759572e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.761743523091347 y1[1] (numeric) = 1.761743523091346 absolute error = 2.220446049250313e-16 relative error = 1.260368504351915e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8670000000000007 y2[1] (analytic) = 1.762391020807867 y2[1] (numeric) = 1.762391020807866 absolute error = 8.881784197001252e-16 relative error = 5.039621793425791e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.762391020807867 y1[1] (numeric) = 1.762391020807867 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8680000000000007 y2[1] (analytic) = 1.76303775613343 y2[1] (numeric) = 1.763037756133429 absolute error = 1.110223024625157e-15 relative error = 6.297216385541394e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.76303775613343 y1[1] (numeric) = 1.763037756133429 absolute error = 2.220446049250313e-16 relative error = 1.259443277108279e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8690000000000007 y2[1] (analytic) = 1.7636837284213 y2[1] (numeric) = 1.763683728421299 absolute error = 8.881784197001252e-16 relative error = 5.035927957985683e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.7636837284213 y1[1] (numeric) = 1.7636837284213 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y2[1] (analytic) = 1.764328937025506 y2[1] (numeric) = 1.764328937025504 absolute error = 1.110223024625157e-15 relative error = 6.292607922062931e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.764328937025506 y1[1] (numeric) = 1.764328937025505 absolute error = 2.220446049250313e-16 relative error = 1.258521584412586e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8710000000000007 y2[1] (analytic) = 1.764973381300838 y2[1] (numeric) = 1.764973381300837 absolute error = 1.110223024625157e-15 relative error = 6.290310303755909e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.764973381300838 y1[1] (numeric) = 1.764973381300837 absolute error = 2.220446049250313e-16 relative error = 1.258062060751182e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8720000000000007 y2[1] (analytic) = 1.765617060602853 y2[1] (numeric) = 1.765617060602851 absolute error = 1.332267629550188e-15 relative error = 7.545620504455809e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.765617060602853 y1[1] (numeric) = 1.765617060602852 absolute error = 4.440892098500626e-16 relative error = 2.515206834818603e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8730000000000007 y2[1] (analytic) = 1.76625997428787 y2[1] (numeric) = 1.766259974287869 absolute error = 1.332267629550188e-15 relative error = 7.542873919720331e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.76625997428787 y1[1] (numeric) = 1.76625997428787 absolute error = 4.440892098500626e-16 relative error = 2.514291306573444e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8740000000000007 y2[1] (analytic) = 1.766902121712978 y2[1] (numeric) = 1.766902121712977 absolute error = 1.332267629550188e-15 relative error = 7.540132603715365e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.766902121712978 y1[1] (numeric) = 1.766902121712977 absolute error = 4.440892098500626e-16 relative error = 2.513377534571788e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8750000000000007 y2[1] (analytic) = 1.767543502236028 y2[1] (numeric) = 1.767543502236026 absolute error = 1.332267629550188e-15 relative error = 7.537396549871645e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.767543502236028 y1[1] (numeric) = 1.767543502236027 absolute error = 4.440892098500626e-16 relative error = 2.512465516623882e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8760000000000007 y2[1] (analytic) = 1.768184115215639 y2[1] (numeric) = 1.768184115215638 absolute error = 1.110223024625157e-15 relative error = 6.27888812636324e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.768184115215639 y1[1] (numeric) = 1.768184115215639 absolute error = 2.220446049250313e-16 relative error = 1.255777625272648e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8770000000000007 y2[1] (analytic) = 1.768823960011199 y2[1] (numeric) = 1.768823960011198 absolute error = 1.110223024625157e-15 relative error = 6.276616835392299e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.768823960011199 y1[1] (numeric) = 1.768823960011199 absolute error = 2.220446049250313e-16 relative error = 1.25532336707846e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8780000000000007 y2[1] (analytic) = 1.769463035982863 y2[1] (numeric) = 1.769463035982862 absolute error = 1.110223024625157e-15 relative error = 6.274349913212364e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.769463035982863 y1[1] (numeric) = 1.769463035982863 absolute error = 2.220446049250313e-16 relative error = 1.254869982642473e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8790000000000007 y2[1] (analytic) = 1.770101342491556 y2[1] (numeric) = 1.770101342491555 absolute error = 1.110223024625157e-15 relative error = 6.272087354402155e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.770101342491556 y1[1] (numeric) = 1.770101342491555 absolute error = 2.220446049250313e-16 relative error = 1.254417470880431e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y2[1] (analytic) = 1.77073887889897 y2[1] (numeric) = 1.770738878898969 absolute error = 1.110223024625157e-15 relative error = 6.269829153553593e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.77073887889897 y1[1] (numeric) = 1.77073887889897 absolute error = 2.220446049250313e-16 relative error = 1.253965830710718e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8810000000000007 y2[1] (analytic) = 1.771375644567569 y2[1] (numeric) = 1.771375644567568 absolute error = 8.881784197001252e-16 relative error = 5.014060244217418e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.771375644567569 y1[1] (numeric) = 1.771375644567569 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8820000000000007 y2[1] (analytic) = 1.772011638860588 y2[1] (numeric) = 1.772011638860587 absolute error = 8.881784197001252e-16 relative error = 5.012260643339951e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.772011638860588 y1[1] (numeric) = 1.772011638860588 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8830000000000007 y2[1] (analytic) = 1.772646861142033 y2[1] (numeric) = 1.772646861142032 absolute error = 8.881784197001252e-16 relative error = 5.01046451591556e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.772646861142033 y1[1] (numeric) = 1.772646861142033 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8840000000000007 y2[1] (analytic) = 1.773281310776681 y2[1] (numeric) = 1.77328131077668 absolute error = 1.110223024625157e-15 relative error = 6.260839822074757e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.773281310776681 y1[1] (numeric) = 1.77328131077668 absolute error = 2.220446049250313e-16 relative error = 1.252167964414951e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8850000000000007 y2[1] (analytic) = 1.773914987130082 y2[1] (numeric) = 1.773914987130081 absolute error = 1.110223024625157e-15 relative error = 6.25860333037337e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.773914987130082 y1[1] (numeric) = 1.773914987130082 absolute error = 2.220446049250313e-16 relative error = 1.251720666074674e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8860000000000007 y2[1] (analytic) = 1.774547889568561 y2[1] (numeric) = 1.77454788956856 absolute error = 1.110223024625157e-15 relative error = 6.256371164460829e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.774547889568561 y1[1] (numeric) = 1.774547889568561 absolute error = 2.220446049250313e-16 relative error = 1.251274232892166e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8870000000000007 y2[1] (analytic) = 1.775180017459215 y2[1] (numeric) = 1.775180017459214 absolute error = 1.110223024625157e-15 relative error = 6.254143319020681e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.775180017459215 y1[1] (numeric) = 1.775180017459214 absolute error = 2.220446049250313e-16 relative error = 1.250828663804136e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8880000000000007 y2[1] (analytic) = 1.775811370169916 y2[1] (numeric) = 1.775811370169915 absolute error = 1.332267629550188e-15 relative error = 7.502303746499336e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.775811370169916 y1[1] (numeric) = 1.775811370169915 absolute error = 4.440892098500626e-16 relative error = 2.500767915499779e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8890000000000007 y2[1] (analytic) = 1.776441947069311 y2[1] (numeric) = 1.77644194706931 absolute error = 1.110223024625157e-15 relative error = 6.249700568356592e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.776441947069311 y1[1] (numeric) = 1.776441947069311 absolute error = 2.220446049250313e-16 relative error = 1.249940113671319e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y2[1] (analytic) = 1.777071747526824 y2[1] (numeric) = 1.777071747526823 absolute error = 1.110223024625157e-15 relative error = 6.247485652564504e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.777071747526824 y1[1] (numeric) = 1.777071747526824 absolute error = 2.220446049250313e-16 relative error = 1.249497130512901e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8910000000000007 y2[1] (analytic) = 1.777700770912655 y2[1] (numeric) = 1.777700770912654 absolute error = 1.110223024625157e-15 relative error = 6.245275036108459e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.777700770912655 y1[1] (numeric) = 1.777700770912654 absolute error = 2.220446049250313e-16 relative error = 1.249055007221692e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8920000000000007 y2[1] (analytic) = 1.778329016597779 y2[1] (numeric) = 1.778329016597778 absolute error = 1.110223024625157e-15 relative error = 6.243068713736599e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.778329016597779 y1[1] (numeric) = 1.778329016597779 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8930000000000007 y2[1] (analytic) = 1.778956483953951 y2[1] (numeric) = 1.77895648395395 absolute error = 1.332267629550188e-15 relative error = 7.489040016251875e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.778956483953951 y1[1] (numeric) = 1.778956483953951 absolute error = 2.220446049250313e-16 relative error = 1.248173336041979e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8940000000000007 y2[1] (analytic) = 1.779583172353705 y2[1] (numeric) = 1.779583172353703 absolute error = 1.332267629550188e-15 relative error = 7.48640271636256e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.779583172353705 y1[1] (numeric) = 1.779583172353705 absolute error = 2.220446049250313e-16 relative error = 1.247733786060427e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8950000000000007 y2[1] (analytic) = 1.780209081170351 y2[1] (numeric) = 1.780209081170349 absolute error = 1.332267629550188e-15 relative error = 7.483770550559849e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.780209081170351 y1[1] (numeric) = 1.780209081170351 absolute error = 2.220446049250313e-16 relative error = 1.247295091759975e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8960000000000007 y2[1] (analytic) = 1.780834209777981 y2[1] (numeric) = 1.780834209777979 absolute error = 1.110223024625157e-15 relative error = 6.23428626050243e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.780834209777981 y1[1] (numeric) = 1.780834209777981 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8970000000000007 y2[1] (analytic) = 1.781458557551466 y2[1] (numeric) = 1.781458557551465 absolute error = 1.332267629550188e-15 relative error = 7.478521596266204e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.781458557551466 y1[1] (numeric) = 1.781458557551466 absolute error = 2.220446049250313e-16 relative error = 1.246420266044367e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8980000000000007 y2[1] (analytic) = 1.782082123866459 y2[1] (numeric) = 1.782082123866457 absolute error = 1.332267629550188e-15 relative error = 7.475904795339399e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.782082123866459 y1[1] (numeric) = 1.782082123866458 absolute error = 2.220446049250313e-16 relative error = 1.245984132556566e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8990000000000007 y2[1] (analytic) = 1.782704908099393 y2[1] (numeric) = 1.782704908099391 absolute error = 1.332267629550188e-15 relative error = 7.473293103627383e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.782704908099393 y1[1] (numeric) = 1.782704908099392 absolute error = 2.220446049250313e-16 relative error = 1.245548850604564e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y2[1] (analytic) = 1.783326909627484 y2[1] (numeric) = 1.783326909627482 absolute error = 1.332267629550188e-15 relative error = 7.470686514950212e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.783326909627484 y1[1] (numeric) = 1.783326909627484 absolute error = 2.220446049250313e-16 relative error = 1.245114419158369e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9010000000000007 y2[1] (analytic) = 1.783948127828731 y2[1] (numeric) = 1.783948127828729 absolute error = 1.332267629550188e-15 relative error = 7.468085023143079e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.783948127828731 y1[1] (numeric) = 1.78394812782873 absolute error = 2.220446049250313e-16 relative error = 1.244680837190513e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9020000000000007 y2[1] (analytic) = 1.784568562081915 y2[1] (numeric) = 1.784568562081914 absolute error = 1.332267629550188e-15 relative error = 7.465488622056284e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.784568562081915 y1[1] (numeric) = 1.784568562081915 absolute error = 2.220446049250313e-16 relative error = 1.244248103676047e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9030000000000007 y2[1] (analytic) = 1.785188211766603 y2[1] (numeric) = 1.785188211766601 absolute error = 1.554312234475219e-15 relative error = 8.706713523147729e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.785188211766603 y1[1] (numeric) = 1.785188211766602 absolute error = 4.440892098500626e-16 relative error = 2.487632435185065e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9040000000000007 y2[1] (analytic) = 1.785807076263144 y2[1] (numeric) = 1.785807076263142 absolute error = 1.554312234475219e-15 relative error = 8.703696245440269e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.785807076263144 y1[1] (numeric) = 1.785807076263144 absolute error = 4.440892098500626e-16 relative error = 2.486770355840077e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9050000000000007 y2[1] (analytic) = 1.786425154952674 y2[1] (numeric) = 1.786425154952673 absolute error = 1.554312234475219e-15 relative error = 8.700684885487944e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.786425154952674 y1[1] (numeric) = 1.786425154952674 absolute error = 4.440892098500626e-16 relative error = 2.48590996728227e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9060000000000007 y2[1] (analytic) = 1.787042447217116 y2[1] (numeric) = 1.787042447217114 absolute error = 1.554312234475219e-15 relative error = 8.697679436186213e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.787042447217116 y1[1] (numeric) = 1.787042447217115 absolute error = 4.440892098500626e-16 relative error = 2.485051267481775e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9070000000000007 y2[1] (analytic) = 1.787658952439175 y2[1] (numeric) = 1.787658952439173 absolute error = 1.554312234475219e-15 relative error = 8.694679890447977e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.787658952439175 y1[1] (numeric) = 1.787658952439175 absolute error = 4.440892098500626e-16 relative error = 2.484194254413708e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9080000000000007 y2[1] (analytic) = 1.788274670002348 y2[1] (numeric) = 1.788274670002346 absolute error = 1.554312234475219e-15 relative error = 8.691686241203531e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.788274670002348 y1[1] (numeric) = 1.788274670002347 absolute error = 4.440892098500626e-16 relative error = 2.483338926058152e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9090000000000007 y2[1] (analytic) = 1.788889599290916 y2[1] (numeric) = 1.788889599290915 absolute error = 1.332267629550188e-15 relative error = 7.447455841200458e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.788889599290916 y1[1] (numeric) = 1.788889599290916 absolute error = 2.220446049250313e-16 relative error = 1.241242640200076e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y2[1] (analytic) = 1.789503739689951 y2[1] (numeric) = 1.789503739689949 absolute error = 1.554312234475219e-15 relative error = 8.685716604003963e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.789503739689951 y1[1] (numeric) = 1.78950373968995 absolute error = 4.440892098500626e-16 relative error = 2.481633315429704e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9110000000000007 y2[1] (analytic) = 1.790117090585312 y2[1] (numeric) = 1.79011709058531 absolute error = 1.332267629550188e-15 relative error = 7.442349087425217e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.790117090585312 y1[1] (numeric) = 1.790117090585311 absolute error = 2.220446049250313e-16 relative error = 1.240391514570869e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9120000000000007 y2[1] (analytic) = 1.790729651363648 y2[1] (numeric) = 1.790729651363647 absolute error = 1.332267629550188e-15 relative error = 7.43980325860836e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.790729651363648 y1[1] (numeric) = 1.790729651363648 absolute error = 2.220446049250313e-16 relative error = 1.23996720976806e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9130000000000007 y2[1] (analytic) = 1.791341421412399 y2[1] (numeric) = 1.791341421412397 absolute error = 1.332267629550188e-15 relative error = 7.437262453852878e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.791341421412399 y1[1] (numeric) = 1.791341421412398 absolute error = 2.220446049250313e-16 relative error = 1.239543742308813e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9140000000000007 y2[1] (analytic) = 1.791952400119794 y2[1] (numeric) = 1.791952400119792 absolute error = 1.554312234475219e-15 relative error = 8.673847778385808e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.791952400119794 y1[1] (numeric) = 1.791952400119794 absolute error = 4.440892098500626e-16 relative error = 2.478242222395945e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9150000000000007 y2[1] (analytic) = 1.792562586874855 y2[1] (numeric) = 1.792562586874854 absolute error = 1.332267629550188e-15 relative error = 7.432195892656986e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.792562586874855 y1[1] (numeric) = 1.792562586874855 absolute error = 2.220446049250313e-16 relative error = 1.238699315442831e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9160000000000007 y2[1] (analytic) = 1.793171981067395 y2[1] (numeric) = 1.793171981067394 absolute error = 1.332267629550188e-15 relative error = 7.429670124318742e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.793171981067395 y1[1] (numeric) = 1.793171981067395 absolute error = 2.220446049250313e-16 relative error = 1.238278354053124e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9170000000000007 y2[1] (analytic) = 1.793780582088021 y2[1] (numeric) = 1.793780582088019 absolute error = 1.554312234475219e-15 relative error = 8.66500758228717e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.793780582088021 y1[1] (numeric) = 1.79378058208802 absolute error = 4.440892098500626e-16 relative error = 2.475716452082048e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9180000000000007 y2[1] (analytic) = 1.79438838932813 y2[1] (numeric) = 1.794388389328128 absolute error = 1.332267629550188e-15 relative error = 7.42463358252684e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.79438838932813 y1[1] (numeric) = 1.79438838932813 absolute error = 2.220446049250313e-16 relative error = 1.23743893042114e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9190000000000007 y2[1] (analytic) = 1.794995402179916 y2[1] (numeric) = 1.794995402179915 absolute error = 1.332267629550188e-15 relative error = 7.42212279726303e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.794995402179916 y1[1] (numeric) = 1.794995402179916 absolute error = 2.220446049250313e-16 relative error = 1.237020466210505e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y2[1] (analytic) = 1.795601620036366 y2[1] (numeric) = 1.795601620036365 absolute error = 1.332267629550188e-15 relative error = 7.419616994571464e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.795601620036366 y1[1] (numeric) = 1.795601620036366 absolute error = 2.220446049250313e-16 relative error = 1.236602832428577e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9210000000000007 y2[1] (analytic) = 1.796207042291263 y2[1] (numeric) = 1.796207042291262 absolute error = 1.332267629550188e-15 relative error = 7.417116168583392e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.796207042291263 y1[1] (numeric) = 1.796207042291263 absolute error = 2.220446049250313e-16 relative error = 1.236186028097232e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9220000000000007 y2[1] (analytic) = 1.796811668339184 y2[1] (numeric) = 1.796811668339182 absolute error = 1.332267629550188e-15 relative error = 7.414620313444536e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.796811668339184 y1[1] (numeric) = 1.796811668339183 absolute error = 2.220446049250313e-16 relative error = 1.235770052240756e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9230000000000007 y2[1] (analytic) = 1.797415497575502 y2[1] (numeric) = 1.797415497575501 absolute error = 1.332267629550188e-15 relative error = 7.41212942331507e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.797415497575502 y1[1] (numeric) = 1.797415497575502 absolute error = 2.220446049250313e-16 relative error = 1.235354903885845e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9240000000000007 y2[1] (analytic) = 1.79801852939639 y2[1] (numeric) = 1.798018529396389 absolute error = 1.332267629550188e-15 relative error = 7.409643492369577e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.79801852939639 y1[1] (numeric) = 1.79801852939639 absolute error = 2.220446049250313e-16 relative error = 1.234940582061596e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9250000000000007 y2[1] (analytic) = 1.798620763198815 y2[1] (numeric) = 1.798620763198813 absolute error = 1.332267629550188e-15 relative error = 7.407162514797026e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.798620763198815 y1[1] (numeric) = 1.798620763198814 absolute error = 2.220446049250313e-16 relative error = 1.234527085799504e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9260000000000007 y2[1] (analytic) = 1.799222198380543 y2[1] (numeric) = 1.799222198380541 absolute error = 1.110223024625157e-15 relative error = 6.170572070667283e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.799222198380543 y1[1] (numeric) = 1.799222198380543 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9270000000000007 y2[1] (analytic) = 1.799822834340139 y2[1] (numeric) = 1.799822834340138 absolute error = 1.110223024625157e-15 relative error = 6.168512830498636e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.799822834340139 y1[1] (numeric) = 1.799822834340139 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9280000000000007 y2[1] (analytic) = 1.800422670476967 y2[1] (numeric) = 1.800422670476966 absolute error = 1.332267629550188e-15 relative error = 7.399749244421833e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.800422670476967 y1[1] (numeric) = 1.800422670476967 absolute error = 2.220446049250313e-16 relative error = 1.233291540736972e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9290000000000007 y2[1] (analytic) = 1.801021706191192 y2[1] (numeric) = 1.801021706191191 absolute error = 1.332267629550188e-15 relative error = 7.397288022517357e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.801021706191192 y1[1] (numeric) = 1.801021706191192 absolute error = 2.220446049250313e-16 relative error = 1.232881337086226e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y2[1] (analytic) = 1.801619940883778 y2[1] (numeric) = 1.801619940883776 absolute error = 1.554312234475219e-15 relative error = 8.62730367933626e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.801619940883778 y1[1] (numeric) = 1.801619940883777 absolute error = 4.440892098500626e-16 relative error = 2.464943908381789e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9310000000000007 y2[1] (analytic) = 1.802217373956489 y2[1] (numeric) = 1.802217373956487 absolute error = 1.554312234475219e-15 relative error = 8.624443737677257e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.802217373956489 y1[1] (numeric) = 1.802217373956488 absolute error = 4.440892098500626e-16 relative error = 2.464126782193502e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9320000000000007 y2[1] (analytic) = 1.802814004811893 y2[1] (numeric) = 1.802814004811891 absolute error = 1.554312234475219e-15 relative error = 8.62158952796352e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.802814004811893 y1[1] (numeric) = 1.802814004811893 absolute error = 4.440892098500626e-16 relative error = 2.463311293703863e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9330000000000007 y2[1] (analytic) = 1.803409832853359 y2[1] (numeric) = 1.803409832853358 absolute error = 1.554312234475219e-15 relative error = 8.618741043548503e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.803409832853359 y1[1] (numeric) = 1.803409832853359 absolute error = 4.440892098500626e-16 relative error = 2.462497441013858e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9340000000000007 y2[1] (analytic) = 1.80400485748506 y2[1] (numeric) = 1.804004857485058 absolute error = 1.554312234475219e-15 relative error = 8.615898277802124e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.80400485748506 y1[1] (numeric) = 1.804004857485059 absolute error = 4.440892098500626e-16 relative error = 2.461685222229178e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9350000000000007 y2[1] (analytic) = 1.804599078111969 y2[1] (numeric) = 1.804599078111968 absolute error = 1.554312234475219e-15 relative error = 8.613061224110739e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.804599078111969 y1[1] (numeric) = 1.804599078111969 absolute error = 4.440892098500626e-16 relative error = 2.460874635460211e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9360000000000007 y2[1] (analytic) = 1.805192494139868 y2[1] (numeric) = 1.805192494139867 absolute error = 1.554312234475219e-15 relative error = 8.610229875877101e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.805192494139868 y1[1] (numeric) = 1.805192494139868 absolute error = 4.440892098500626e-16 relative error = 2.460065678822029e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9370000000000007 y2[1] (analytic) = 1.80578510497534 y2[1] (numeric) = 1.805785104975338 absolute error = 1.554312234475219e-15 relative error = 8.607404226520326e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.80578510497534 y1[1] (numeric) = 1.80578510497534 absolute error = 4.440892098500626e-16 relative error = 2.459258350434379e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9380000000000007 y2[1] (analytic) = 1.806376910025774 y2[1] (numeric) = 1.806376910025772 absolute error = 1.77635683940025e-15 relative error = 9.833810593686701e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.806376910025774 y1[1] (numeric) = 1.806376910025773 absolute error = 6.661338147750939e-16 relative error = 3.687678972632512e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9390000000000007 y2[1] (analytic) = 1.806967908699365 y2[1] (numeric) = 1.806967908699363 absolute error = 1.77635683940025e-15 relative error = 9.830594283651954e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.806967908699365 y1[1] (numeric) = 1.806967908699364 absolute error = 6.661338147750939e-16 relative error = 3.686472856369483e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y2[1] (analytic) = 1.807558100405115 y2[1] (numeric) = 1.807558100405113 absolute error = 1.77635683940025e-15 relative error = 9.827384464168143e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.807558100405115 y1[1] (numeric) = 1.807558100405114 absolute error = 6.661338147750939e-16 relative error = 3.685269174063054e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9410000000000007 y2[1] (analytic) = 1.808147484552831 y2[1] (numeric) = 1.808147484552829 absolute error = 1.998401444325282e-15 relative error = 1.105220376876227e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.808147484552831 y1[1] (numeric) = 1.80814748455283 absolute error = 8.881784197001252e-16 relative error = 4.912090563894342e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9420000000000007 y2[1] (analytic) = 1.808736060553131 y2[1] (numeric) = 1.808736060553129 absolute error = 1.998401444325282e-15 relative error = 1.104860730047119e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.808736060553131 y1[1] (numeric) = 1.80873606055313 absolute error = 8.881784197001252e-16 relative error = 4.91049213354275e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9430000000000007 y2[1] (analytic) = 1.809323827817437 y2[1] (numeric) = 1.809323827817435 absolute error = 1.998401444325282e-15 relative error = 1.104501810898012e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.809323827817437 y1[1] (numeric) = 1.809323827817436 absolute error = 8.881784197001252e-16 relative error = 4.908896937324497e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9440000000000007 y2[1] (analytic) = 1.809910785757983 y2[1] (numeric) = 1.809910785757981 absolute error = 1.998401444325282e-15 relative error = 1.1041436185974e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.809910785757983 y1[1] (numeric) = 1.809910785757982 absolute error = 8.881784197001252e-16 relative error = 4.907304971543999e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9450000000000007 y2[1] (analytic) = 1.81049693378781 y2[1] (numeric) = 1.810496933787808 absolute error = 1.998401444325282e-15 relative error = 1.103786152315845e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.81049693378781 y1[1] (numeric) = 1.810496933787809 absolute error = 8.881784197001252e-16 relative error = 4.905716232514866e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9460000000000007 y2[1] (analytic) = 1.811082271320771 y2[1] (numeric) = 1.811082271320769 absolute error = 2.220446049250313e-15 relative error = 1.226032679139973e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.811082271320771 y1[1] (numeric) = 1.81108227132077 absolute error = 1.110223024625157e-15 relative error = 6.130163395699866e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9470000000000007 y2[1] (analytic) = 1.811666797771529 y2[1] (numeric) = 1.811666797771527 absolute error = 2.220446049250313e-15 relative error = 1.225637105002758e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.811666797771529 y1[1] (numeric) = 1.811666797771528 absolute error = 1.110223024625157e-15 relative error = 6.128185525013788e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9480000000000007 y2[1] (analytic) = 1.812250512555556 y2[1] (numeric) = 1.812250512555554 absolute error = 1.998401444325282e-15 relative error = 1.102718101322109e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.812250512555556 y1[1] (numeric) = 1.812250512555555 absolute error = 8.881784197001252e-16 relative error = 4.900969339209373e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9490000000000007 y2[1] (analytic) = 1.812833415089139 y2[1] (numeric) = 1.812833415089137 absolute error = 1.998401444325282e-15 relative error = 1.102363530863655e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.812833415089139 y1[1] (numeric) = 1.812833415089138 absolute error = 8.881784197001252e-16 relative error = 4.899393470505135e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y2[1] (analytic) = 1.813415504789374 y2[1] (numeric) = 1.813415504789372 absolute error = 1.998401444325282e-15 relative error = 1.102009682307968e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.813415504789374 y1[1] (numeric) = 1.813415504789373 absolute error = 8.881784197001252e-16 relative error = 4.897820810257636e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9510000000000007 y2[1] (analytic) = 1.813996781074172 y2[1] (numeric) = 1.81399678107417 absolute error = 2.220446049250313e-15 relative error = 1.22406283870882e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.813996781074172 y1[1] (numeric) = 1.813996781074172 absolute error = 8.881784197001252e-16 relative error = 4.896251354835279e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9520000000000007 y2[1] (analytic) = 1.814577243362257 y2[1] (numeric) = 1.814577243362255 absolute error = 2.220446049250313e-15 relative error = 1.223671275153884e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.814577243362257 y1[1] (numeric) = 1.814577243362256 absolute error = 8.881784197001252e-16 relative error = 4.894685100615536e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9530000000000007 y2[1] (analytic) = 1.815156891073167 y2[1] (numeric) = 1.815156891073165 absolute error = 2.220446049250313e-15 relative error = 1.223280510996231e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.815156891073167 y1[1] (numeric) = 1.815156891073166 absolute error = 8.881784197001252e-16 relative error = 4.893122043984923e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9540000000000007 y2[1] (analytic) = 1.815735723627253 y2[1] (numeric) = 1.815735723627251 absolute error = 2.220446049250313e-15 relative error = 1.222890545334747e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.815735723627253 y1[1] (numeric) = 1.815735723627252 absolute error = 8.881784197001252e-16 relative error = 4.891562181338988e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9550000000000007 y2[1] (analytic) = 1.816313740445684 y2[1] (numeric) = 1.816313740445682 absolute error = 2.442490654175344e-15 relative error = 1.344751514997629e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.816313740445684 y1[1] (numeric) = 1.816313740445683 absolute error = 1.110223024625157e-15 relative error = 6.11250688635286e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9560000000000007 y2[1] (analytic) = 1.816890940950442 y2[1] (numeric) = 1.81689094095044 absolute error = 2.442490654175344e-15 relative error = 1.344324306497803e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.816890940950442 y1[1] (numeric) = 1.816890940950441 absolute error = 1.110223024625157e-15 relative error = 6.110565029535469e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9570000000000007 y2[1] (analytic) = 1.817467324564328 y2[1] (numeric) = 1.817467324564325 absolute error = 2.442490654175344e-15 relative error = 1.343897973384938e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.817467324564328 y1[1] (numeric) = 1.817467324564326 absolute error = 1.110223024625157e-15 relative error = 6.108627151749716e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9580000000000007 y2[1] (analytic) = 1.818042890710956 y2[1] (numeric) = 1.818042890710954 absolute error = 2.442490654175344e-15 relative error = 1.343472514677689e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.818042890710956 y1[1] (numeric) = 1.818042890710955 absolute error = 1.110223024625157e-15 relative error = 6.106693248534952e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9590000000000007 y2[1] (analytic) = 1.818617638814763 y2[1] (numeric) = 1.81861763881476 absolute error = 2.442490654175344e-15 relative error = 1.343047929397174e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.818617638814763 y1[1] (numeric) = 1.818617638814762 absolute error = 1.110223024625157e-15 relative error = 6.104763315441699e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y2[1] (analytic) = 1.819191568300999 y2[1] (numeric) = 1.819191568300996 absolute error = 2.442490654175344e-15 relative error = 1.342624216566958e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.819191568300999 y1[1] (numeric) = 1.819191568300998 absolute error = 1.110223024625157e-15 relative error = 6.102837348031628e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9610000000000007 y2[1] (analytic) = 1.819764678595734 y2[1] (numeric) = 1.819764678595732 absolute error = 2.442490654175344e-15 relative error = 1.342201375213059e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.819764678595734 y1[1] (numeric) = 1.819764678595733 absolute error = 1.110223024625157e-15 relative error = 6.100915341877539e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9620000000000007 y2[1] (analytic) = 1.82033696912586 y2[1] (numeric) = 1.820336969125858 absolute error = 2.442490654175344e-15 relative error = 1.341779404363933e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.82033696912586 y1[1] (numeric) = 1.820336969125859 absolute error = 1.110223024625157e-15 relative error = 6.098997292563334e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9630000000000007 y2[1] (analytic) = 1.820908439319085 y2[1] (numeric) = 1.820908439319082 absolute error = 2.442490654175344e-15 relative error = 1.341358303050479e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.820908439319085 y1[1] (numeric) = 1.820908439319084 absolute error = 1.110223024625157e-15 relative error = 6.097083195683997e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9640000000000007 y2[1] (analytic) = 1.821479088603938 y2[1] (numeric) = 1.821479088603936 absolute error = 2.442490654175344e-15 relative error = 1.340938070306026e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.821479088603938 y1[1] (numeric) = 1.821479088603937 absolute error = 1.110223024625157e-15 relative error = 6.095173046845573e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9650000000000007 y2[1] (analytic) = 1.822048916409772 y2[1] (numeric) = 1.82204891640977 absolute error = 2.442490654175344e-15 relative error = 1.340518705166331e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.822048916409772 y1[1] (numeric) = 1.822048916409771 absolute error = 1.110223024625157e-15 relative error = 6.093266841665141e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9660000000000007 y2[1] (analytic) = 1.822617922166758 y2[1] (numeric) = 1.822617922166756 absolute error = 2.442490654175344e-15 relative error = 1.340100206669575e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.822617922166758 y1[1] (numeric) = 1.822617922166757 absolute error = 1.110223024625157e-15 relative error = 6.091364575770798e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9670000000000007 y2[1] (analytic) = 1.82318610530589 y2[1] (numeric) = 1.823186105305888 absolute error = 2.442490654175344e-15 relative error = 1.339682573856358e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.82318610530589 y1[1] (numeric) = 1.823186105305889 absolute error = 1.110223024625157e-15 relative error = 6.089466244801628e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9680000000000007 y2[1] (analytic) = 1.823753465258986 y2[1] (numeric) = 1.823753465258983 absolute error = 2.220446049250313e-15 relative error = 1.217514368881539e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.823753465258986 y1[1] (numeric) = 1.823753465258985 absolute error = 8.881784197001252e-16 relative error = 4.870057475526155e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9690000000000007 y2[1] (analytic) = 1.824320001458684 y2[1] (numeric) = 1.824320001458682 absolute error = 2.220446049250313e-15 relative error = 1.21713627405e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.824320001458684 y1[1] (numeric) = 1.824320001458684 absolute error = 8.881784197001252e-16 relative error = 4.868545096199999e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y2[1] (analytic) = 1.82488571333845 y2[1] (numeric) = 1.824885713338448 absolute error = 1.998401444325282e-15 relative error = 1.095083067240086e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.82488571333845 y1[1] (numeric) = 1.82488571333845 absolute error = 6.661338147750939e-16 relative error = 3.650276890800285e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9710000000000008 y2[1] (analytic) = 1.825450600332572 y2[1] (numeric) = 1.82545060033257 absolute error = 1.998401444325282e-15 relative error = 1.094744193001553e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.825450600332572 y1[1] (numeric) = 1.825450600332571 absolute error = 6.661338147750939e-16 relative error = 3.649147310005176e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9720000000000008 y2[1] (analytic) = 1.826014661876162 y2[1] (numeric) = 1.82601466187616 absolute error = 1.998401444325282e-15 relative error = 1.094406023154271e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.826014661876162 y1[1] (numeric) = 1.826014661876161 absolute error = 6.661338147750939e-16 relative error = 3.648020077180905e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9730000000000008 y2[1] (analytic) = 1.826577897405159 y2[1] (numeric) = 1.826577897405157 absolute error = 1.998401444325282e-15 relative error = 1.094068556925065e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.826577897405159 y1[1] (numeric) = 1.826577897405158 absolute error = 6.661338147750939e-16 relative error = 3.646895189750217e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9740000000000008 y2[1] (analytic) = 1.827140306356327 y2[1] (numeric) = 1.827140306356325 absolute error = 1.998401444325282e-15 relative error = 1.09373179354271e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.827140306356327 y1[1] (numeric) = 1.827140306356327 absolute error = 6.661338147750939e-16 relative error = 3.645772645142365e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9750000000000008 y2[1] (analytic) = 1.827701888167258 y2[1] (numeric) = 1.827701888167256 absolute error = 1.77635683940025e-15 relative error = 9.719073175448245e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.827701888167258 y1[1] (numeric) = 1.827701888167258 absolute error = 4.440892098500626e-16 relative error = 2.429768293862061e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9760000000000008 y2[1] (analytic) = 1.82826264227637 y2[1] (numeric) = 1.828262642276368 absolute error = 1.77635683940025e-15 relative error = 9.71609219771897e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.82826264227637 y1[1] (numeric) = 1.828262642276369 absolute error = 4.440892098500626e-16 relative error = 2.429023049429742e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9770000000000008 y2[1] (analytic) = 1.828822568122908 y2[1] (numeric) = 1.828822568122906 absolute error = 1.77635683940025e-15 relative error = 9.713117447054975e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.828822568122908 y1[1] (numeric) = 1.828822568122908 absolute error = 4.440892098500626e-16 relative error = 2.428279361763744e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9780000000000008 y2[1] (analytic) = 1.829381665146948 y2[1] (numeric) = 1.829381665146946 absolute error = 1.77635683940025e-15 relative error = 9.710148916669951e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.829381665146948 y1[1] (numeric) = 1.829381665146947 absolute error = 4.440892098500626e-16 relative error = 2.427537229167488e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9790000000000008 y2[1] (analytic) = 1.829939932789391 y2[1] (numeric) = 1.829939932789389 absolute error = 1.77635683940025e-15 relative error = 9.707186599794763e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.829939932789391 y1[1] (numeric) = 1.829939932789391 absolute error = 4.440892098500626e-16 relative error = 2.426796649948691e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y2[1] (analytic) = 1.830497370491971 y2[1] (numeric) = 1.830497370491969 absolute error = 1.77635683940025e-15 relative error = 9.704230489677407e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.830497370491971 y1[1] (numeric) = 1.83049737049197 absolute error = 4.440892098500626e-16 relative error = 2.426057622419352e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9810000000000008 y2[1] (analytic) = 1.831053977697249 y2[1] (numeric) = 1.831053977697248 absolute error = 1.77635683940025e-15 relative error = 9.701280579582987e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.831053977697249 y1[1] (numeric) = 1.831053977697249 absolute error = 4.440892098500626e-16 relative error = 2.425320144895747e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9820000000000008 y2[1] (analytic) = 1.831609753848619 y2[1] (numeric) = 1.831609753848618 absolute error = 1.554312234475219e-15 relative error = 8.48604475494446e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.831609753848619 y1[1] (numeric) = 1.831609753848619 absolute error = 2.220446049250313e-16 relative error = 1.212292107849209e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9830000000000008 y2[1] (analytic) = 1.832164698390305 y2[1] (numeric) = 1.832164698390303 absolute error = 1.554312234475219e-15 relative error = 8.483474416032576e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.832164698390305 y1[1] (numeric) = 1.832164698390305 absolute error = 2.220446049250313e-16 relative error = 1.211924916576082e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9840000000000008 y2[1] (analytic) = 1.832718810767361 y2[1] (numeric) = 1.83271881076736 absolute error = 1.554312234475219e-15 relative error = 8.480909484551135e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.832718810767361 y1[1] (numeric) = 1.832718810767361 absolute error = 2.220446049250313e-16 relative error = 1.211558497793019e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9850000000000008 y2[1] (analytic) = 1.833272090425677 y2[1] (numeric) = 1.833272090425675 absolute error = 1.77635683940025e-15 relative error = 9.689542805333328e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.833272090425677 y1[1] (numeric) = 1.833272090425676 absolute error = 4.440892098500626e-16 relative error = 2.422385701333332e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9860000000000008 y2[1] (analytic) = 1.833824536811971 y2[1] (numeric) = 1.833824536811969 absolute error = 1.77635683940025e-15 relative error = 9.686623794926284e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.833824536811971 y1[1] (numeric) = 1.83382453681197 absolute error = 4.440892098500626e-16 relative error = 2.421655948731571e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9870000000000008 y2[1] (analytic) = 1.834376149373797 y2[1] (numeric) = 1.834376149373796 absolute error = 1.77635683940025e-15 relative error = 9.683710944490022e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.834376149373797 y1[1] (numeric) = 1.834376149373797 absolute error = 4.440892098500626e-16 relative error = 2.420927736122506e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9880000000000008 y2[1] (analytic) = 1.834926927559544 y2[1] (numeric) = 1.834926927559543 absolute error = 1.77635683940025e-15 relative error = 9.680804247408412e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.834926927559544 y1[1] (numeric) = 1.834926927559544 absolute error = 4.440892098500626e-16 relative error = 2.420201061852103e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9890000000000008 y2[1] (analytic) = 1.835476870818433 y2[1] (numeric) = 1.835476870818431 absolute error = 1.77635683940025e-15 relative error = 9.677903697082157e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.835476870818433 y1[1] (numeric) = 1.835476870818433 absolute error = 4.440892098500626e-16 relative error = 2.419475924270539e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y2[1] (analytic) = 1.836025978600521 y2[1] (numeric) = 1.836025978600519 absolute error = 1.554312234475219e-15 relative error = 8.465633126062666e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.836025978600521 y1[1] (numeric) = 1.836025978600521 absolute error = 2.220446049250313e-16 relative error = 1.209376160866095e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9910000000000008 y2[1] (analytic) = 1.8365742503567 y2[1] (numeric) = 1.836574250356698 absolute error = 1.554312234475219e-15 relative error = 8.463105884084678e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.8365742503567 y1[1] (numeric) = 1.8365742503567 absolute error = 2.220446049250313e-16 relative error = 1.209015126297811e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9920000000000008 y2[1] (analytic) = 1.837121685538698 y2[1] (numeric) = 1.837121685538696 absolute error = 1.77635683940025e-15 relative error = 9.669238860894348e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.837121685538698 y1[1] (numeric) = 1.837121685538698 absolute error = 4.440892098500626e-16 relative error = 2.417309715223587e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9930000000000008 y2[1] (analytic) = 1.83766828359908 y2[1] (numeric) = 1.837668283599079 absolute error = 1.554312234475219e-15 relative error = 8.458067477940539e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.83766828359908 y1[1] (numeric) = 1.83766828359908 absolute error = 2.220446049250313e-16 relative error = 1.208295353991505e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9940000000000008 y2[1] (analytic) = 1.838214043991249 y2[1] (numeric) = 1.838214043991247 absolute error = 1.554312234475219e-15 relative error = 8.455556302357456e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.838214043991249 y1[1] (numeric) = 1.838214043991249 absolute error = 2.220446049250313e-16 relative error = 1.207936614622494e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9950000000000008 y2[1] (analytic) = 1.838758966169443 y2[1] (numeric) = 1.838758966169442 absolute error = 1.77635683940025e-15 relative error = 9.660629109539077e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.838758966169443 y1[1] (numeric) = 1.838758966169443 absolute error = 2.220446049250313e-16 relative error = 1.207578638692385e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9960000000000008 y2[1] (analytic) = 1.839303049588741 y2[1] (numeric) = 1.83930304958874 absolute error = 1.554312234475219e-15 relative error = 8.45054997773616e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.839303049588741 y1[1] (numeric) = 1.839303049588741 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9970000000000008 y2[1] (analytic) = 1.83984629370506 y2[1] (numeric) = 1.839846293705058 absolute error = 1.77635683940025e-15 relative error = 9.654919791278024e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.83984629370506 y1[1] (numeric) = 1.83984629370506 absolute error = 2.220446049250313e-16 relative error = 1.206864973909753e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9980000000000008 y2[1] (analytic) = 1.840388697975155 y2[1] (numeric) = 1.840388697975153 absolute error = 1.77635683940025e-15 relative error = 9.652074267542754e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.840388697975155 y1[1] (numeric) = 1.840388697975155 absolute error = 2.220446049250313e-16 relative error = 1.206509283442844e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9990000000000008 y2[1] (analytic) = 1.840930261856622 y2[1] (numeric) = 1.84093026185662 absolute error = 1.77635683940025e-15 relative error = 9.649234825488459e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.840930261856622 y1[1] (numeric) = 1.840930261856622 absolute error = 2.220446049250313e-16 relative error = 1.206154353186057e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y2[1] (analytic) = 1.841470984807897 y2[1] (numeric) = 1.841470984807895 absolute error = 1.77635683940025e-15 relative error = 9.646401458698849e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.841470984807897 y1[1] (numeric) = 1.841470984807897 absolute error = 2.220446049250313e-16 relative error = 1.205800182337356e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.001000000000001 y2[1] (analytic) = 1.842010866288257 y2[1] (numeric) = 1.842010866288255 absolute error = 1.77635683940025e-15 relative error = 9.643574160774073e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.842010866288257 y1[1] (numeric) = 1.842010866288257 absolute error = 2.220446049250313e-16 relative error = 1.205446770096759e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.002 y2[1] (analytic) = 1.842549905757821 y2[1] (numeric) = 1.84254990575782 absolute error = 1.554312234475219e-15 relative error = 8.435658809664354e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.842549905757821 y1[1] (numeric) = 1.842549905757821 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.003 y2[1] (analytic) = 1.84308810267755 y2[1] (numeric) = 1.843088102677549 absolute error = 1.554312234475219e-15 relative error = 8.433195527751434e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.84308810267755 y1[1] (numeric) = 1.84308810267755 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.004 y2[1] (analytic) = 1.843625456509246 y2[1] (numeric) = 1.843625456509245 absolute error = 1.554312234475219e-15 relative error = 8.43073753938168e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.843625456509246 y1[1] (numeric) = 1.843625456509246 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.005 y2[1] (analytic) = 1.844161966715556 y2[1] (numeric) = 1.844161966715555 absolute error = 1.332267629550188e-15 relative error = 7.224244147724997e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.844161966715556 y1[1] (numeric) = 1.844161966715557 absolute error = 2.220446049250313e-16 relative error = 1.204040691287499e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.006 y2[1] (analytic) = 1.84469763275997 y2[1] (numeric) = 1.844697632759969 absolute error = 1.332267629550188e-15 relative error = 7.222146360956168e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.84469763275997 y1[1] (numeric) = 1.84469763275997 absolute error = 2.220446049250313e-16 relative error = 1.203691060159362e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.007 y2[1] (analytic) = 1.845232454106821 y2[1] (numeric) = 1.84523245410682 absolute error = 1.110223024625157e-15 relative error = 6.016710914411899e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.845232454106821 y1[1] (numeric) = 1.845232454106822 absolute error = 4.440892098500626e-16 relative error = 2.406684365764759e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.008 y2[1] (analytic) = 1.845766430221289 y2[1] (numeric) = 1.845766430221288 absolute error = 1.110223024625157e-15 relative error = 6.014970293354244e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.845766430221289 y1[1] (numeric) = 1.84576643022129 absolute error = 4.440892098500626e-16 relative error = 2.405988117341698e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.009 y2[1] (analytic) = 1.846299560569397 y2[1] (numeric) = 1.846299560569396 absolute error = 8.881784197001252e-16 relative error = 4.810586746964354e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.846299560569397 y1[1] (numeric) = 1.846299560569398 absolute error = 6.661338147750939e-16 relative error = 3.607940060223266e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.01 y2[1] (analytic) = 1.846831844618015 y2[1] (numeric) = 1.846831844618014 absolute error = 8.881784197001252e-16 relative error = 4.809200265245748e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.846831844618015 y1[1] (numeric) = 1.846831844618016 absolute error = 6.661338147750939e-16 relative error = 3.606900198934311e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.010999999999999 y2[1] (analytic) = 1.847363281834859 y2[1] (numeric) = 1.847363281834858 absolute error = 8.881784197001252e-16 relative error = 4.807816786408999e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.847363281834859 y1[1] (numeric) = 1.84736328183486 absolute error = 6.661338147750939e-16 relative error = 3.605862589806749e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.011999999999999 y2[1] (analytic) = 1.847893871688491 y2[1] (numeric) = 1.847893871688491 absolute error = 6.661338147750939e-16 relative error = 3.604827230507681e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.847893871688491 y1[1] (numeric) = 1.847893871688492 absolute error = 8.881784197001252e-16 relative error = 4.806436307343574e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.012999999999999 y2[1] (analytic) = 1.848423613648323 y2[1] (numeric) = 1.848423613648322 absolute error = 6.661338147750939e-16 relative error = 3.603794118710232e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.848423613648323 y1[1] (numeric) = 1.848423613648324 absolute error = 8.881784197001252e-16 relative error = 4.805058824946975e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.013999999999999 y2[1] (analytic) = 1.848952507184612 y2[1] (numeric) = 1.848952507184611 absolute error = 6.661338147750939e-16 relative error = 3.602763252093542e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.848952507184612 y1[1] (numeric) = 1.848952507184612 absolute error = 8.881784197001252e-16 relative error = 4.803684336124722e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.014999999999999 y2[1] (analytic) = 1.849480551768464 y2[1] (numeric) = 1.849480551768463 absolute error = 6.661338147750939e-16 relative error = 3.601734628342754e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.849480551768464 y1[1] (numeric) = 1.849480551768465 absolute error = 8.881784197001252e-16 relative error = 4.802312837790339e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.015999999999999 y2[1] (analytic) = 1.850007746871835 y2[1] (numeric) = 1.850007746871834 absolute error = 6.661338147750939e-16 relative error = 3.600708245149e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.850007746871835 y1[1] (numeric) = 1.850007746871836 absolute error = 8.881784197001252e-16 relative error = 4.800944326865332e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.016999999999999 y2[1] (analytic) = 1.85053409196753 y2[1] (numeric) = 1.850534091967529 absolute error = 6.661338147750939e-16 relative error = 3.59968410020939e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.85053409196753 y1[1] (numeric) = 1.850534091967531 absolute error = 8.881784197001252e-16 relative error = 4.799578800279187e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.017999999999999 y2[1] (analytic) = 1.851059586529204 y2[1] (numeric) = 1.851059586529204 absolute error = 6.661338147750939e-16 relative error = 3.598662191227004e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.851059586529204 y1[1] (numeric) = 1.851059586529205 absolute error = 8.881784197001252e-16 relative error = 4.798216254969339e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.018999999999999 y2[1] (analytic) = 1.851584230031363 y2[1] (numeric) = 1.851584230031362 absolute error = 4.440892098500626e-16 relative error = 2.398428343940586e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.851584230031363 y1[1] (numeric) = 1.851584230031364 absolute error = 1.110223024625157e-15 relative error = 5.996070859851464e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y2[1] (analytic) = 1.852108021949362 y2[1] (numeric) = 1.852108021949362 absolute error = 4.440892098500626e-16 relative error = 2.397750047983995e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.852108021949362 y1[1] (numeric) = 1.852108021949363 absolute error = 1.110223024625157e-15 relative error = 5.994375119959989e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.020999999999998 y2[1] (analytic) = 1.852630961759411 y2[1] (numeric) = 1.85263096175941 absolute error = 2.220446049250313e-16 relative error = 1.198536619047754e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.852630961759411 y1[1] (numeric) = 1.852630961759412 absolute error = 1.332267629550188e-15 relative error = 7.191219714286526e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.021999999999998 y2[1] (analytic) = 1.853153048938568 y2[1] (numeric) = 1.853153048938568 absolute error = 2.220446049250313e-16 relative error = 1.198198956379841e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.853153048938568 y1[1] (numeric) = 1.85315304893857 absolute error = 1.332267629550188e-15 relative error = 7.189193738279046e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.022999999999998 y2[1] (analytic) = 1.853674282964748 y2[1] (numeric) = 1.853674282964748 absolute error = 2.220446049250313e-16 relative error = 1.197862035232508e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.853674282964748 y1[1] (numeric) = 1.85367428296475 absolute error = 1.332267629550188e-15 relative error = 7.187172211395047e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.023999999999998 y2[1] (analytic) = 1.854194663316716 y2[1] (numeric) = 1.854194663316716 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.854194663316716 y1[1] (numeric) = 1.854194663316718 absolute error = 1.554312234475219e-15 relative error = 8.382680983963796e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.024999999999998 y2[1] (analytic) = 1.854714189474092 y2[1] (numeric) = 1.854714189474092 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.854714189474092 y1[1] (numeric) = 1.854714189474094 absolute error = 1.554312234475219e-15 relative error = 8.380332901404865e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.025999999999998 y2[1] (analytic) = 1.85523286091735 y2[1] (numeric) = 1.85523286091735 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.85523286091735 y1[1] (numeric) = 1.855232860917352 absolute error = 1.554312234475219e-15 relative error = 8.37798999370173e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.026999999999998 y2[1] (analytic) = 1.855750677127818 y2[1] (numeric) = 1.855750677127818 absolute error = 2.220446049250313e-16 relative error = 1.196521750802722e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.855750677127818 y1[1] (numeric) = 1.85575067712782 absolute error = 1.77635683940025e-15 relative error = 9.572174006421773e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.027999999999998 y2[1] (analytic) = 1.85626763758768 y2[1] (numeric) = 1.856267637587681 absolute error = 2.220446049250313e-16 relative error = 1.196188525990736e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.85626763758768 y1[1] (numeric) = 1.856267637587682 absolute error = 1.77635683940025e-15 relative error = 9.569508207925888e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.028999999999997 y2[1] (analytic) = 1.856783741779976 y2[1] (numeric) = 1.856783741779977 absolute error = 2.220446049250313e-16 relative error = 1.195856038205999e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.856783741779976 y1[1] (numeric) = 1.856783741779978 absolute error = 1.77635683940025e-15 relative error = 9.566848305647992e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y2[1] (analytic) = 1.857298989188602 y2[1] (numeric) = 1.857298989188602 absolute error = 2.220446049250313e-16 relative error = 1.19552428670645e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.857298989188602 y1[1] (numeric) = 1.857298989188604 absolute error = 1.77635683940025e-15 relative error = 9.564194293651596e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.030999999999997 y2[1] (analytic) = 1.85781337929831 y2[1] (numeric) = 1.85781337929831 absolute error = 4.440892098500626e-16 relative error = 2.390386541503936e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.85781337929831 y1[1] (numeric) = 1.857813379298312 absolute error = 1.998401444325282e-15 relative error = 1.075673943676771e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.031999999999997 y2[1] (analytic) = 1.85832691159471 y2[1] (numeric) = 1.85832691159471 absolute error = 2.220446049250313e-16 relative error = 1.194862989604371e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.85832691159471 y1[1] (numeric) = 1.858326911594712 absolute error = 1.77635683940025e-15 relative error = 9.558903916834968e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.032999999999997 y2[1] (analytic) = 1.85883958556427 y2[1] (numeric) = 1.85883958556427 absolute error = 2.220446049250313e-16 relative error = 1.194533442527411e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.85883958556427 y1[1] (numeric) = 1.858839585564272 absolute error = 1.77635683940025e-15 relative error = 9.556267540219286e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.033999999999997 y2[1] (analytic) = 1.859351400694316 y2[1] (numeric) = 1.859351400694316 absolute error = 4.440892098500626e-16 relative error = 2.388409257573536e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.859351400694316 y1[1] (numeric) = 1.859351400694318 absolute error = 1.998401444325282e-15 relative error = 1.074784165908091e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.034999999999997 y2[1] (analytic) = 1.859862356473033 y2[1] (numeric) = 1.859862356473033 absolute error = 4.440892098500626e-16 relative error = 2.387753095300102e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.859862356473033 y1[1] (numeric) = 1.859862356473035 absolute error = 1.998401444325282e-15 relative error = 1.074488892885046e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.035999999999997 y2[1] (analytic) = 1.860372452389465 y2[1] (numeric) = 1.860372452389466 absolute error = 4.440892098500626e-16 relative error = 2.38709839677358e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.860372452389465 y1[1] (numeric) = 1.860372452389467 absolute error = 1.998401444325282e-15 relative error = 1.074194278548111e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.036999999999997 y2[1] (analytic) = 1.860881687933516 y2[1] (numeric) = 1.860881687933517 absolute error = 6.661338147750939e-16 relative error = 3.579667740805308e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.860881687933516 y1[1] (numeric) = 1.860881687933519 absolute error = 2.220446049250313e-15 relative error = 1.193222580268436e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.037999999999996 y2[1] (analytic) = 1.861390062595952 y2[1] (numeric) = 1.861390062595952 absolute error = 6.661338147750939e-16 relative error = 3.578690077705064e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.861390062595952 y1[1] (numeric) = 1.861390062595954 absolute error = 2.220446049250313e-15 relative error = 1.192896692568355e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.038999999999996 y2[1] (analytic) = 1.861897575868396 y2[1] (numeric) = 1.861897575868397 absolute error = 4.440892098500626e-16 relative error = 2.385143069123648e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.861897575868396 y1[1] (numeric) = 1.861897575868398 absolute error = 2.220446049250313e-15 relative error = 1.192571534561824e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y2[1] (analytic) = 1.862404227243337 y2[1] (numeric) = 1.862404227243337 absolute error = 4.440892098500626e-16 relative error = 2.384494211052063e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.862404227243337 y1[1] (numeric) = 1.862404227243339 absolute error = 2.220446049250313e-15 relative error = 1.192247105526031e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.040999999999996 y2[1] (analytic) = 1.862910016214121 y2[1] (numeric) = 1.862910016214122 absolute error = 6.661338147750939e-16 relative error = 3.575770214220207e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.862910016214121 y1[1] (numeric) = 1.862910016214124 absolute error = 2.442490654175344e-15 relative error = 1.311115745214076e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.041999999999996 y2[1] (analytic) = 1.863414942274962 y2[1] (numeric) = 1.863414942274963 absolute error = 6.661338147750939e-16 relative error = 3.574801294454793e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.863414942274962 y1[1] (numeric) = 1.863414942274965 absolute error = 2.442490654175344e-15 relative error = 1.310760474633424e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.042999999999996 y2[1] (analytic) = 1.863919004920933 y2[1] (numeric) = 1.863919004920933 absolute error = 6.661338147750939e-16 relative error = 3.573834555130529e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.863919004920933 y1[1] (numeric) = 1.863919004920935 absolute error = 2.442490654175344e-15 relative error = 1.31040600354786e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.043999999999996 y2[1] (analytic) = 1.86442220364797 y2[1] (numeric) = 1.864422203647971 absolute error = 6.661338147750939e-16 relative error = 3.572869994101774e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.86442220364797 y1[1] (numeric) = 1.864422203647973 absolute error = 2.442490654175344e-15 relative error = 1.31005233117065e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.044999999999996 y2[1] (analytic) = 1.864924537952876 y2[1] (numeric) = 1.864924537952877 absolute error = 8.881784197001252e-16 relative error = 4.762543478971417e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.864924537952876 y1[1] (numeric) = 1.864924537952878 absolute error = 2.664535259100376e-15 relative error = 1.428763043691425e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.045999999999996 y2[1] (analytic) = 1.865426007333316 y2[1] (numeric) = 1.865426007333317 absolute error = 8.881784197001252e-16 relative error = 4.761263197835458e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.865426007333316 y1[1] (numeric) = 1.865426007333318 absolute error = 2.664535259100376e-15 relative error = 1.428378959350637e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.046999999999995 y2[1] (analytic) = 1.865926611287821 y2[1] (numeric) = 1.865926611287821 absolute error = 8.881784197001252e-16 relative error = 4.759985812556285e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.865926611287821 y1[1] (numeric) = 1.865926611287823 absolute error = 2.664535259100376e-15 relative error = 1.427995743766886e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.047999999999995 y2[1] (analytic) = 1.866426349315786 y2[1] (numeric) = 1.866426349315787 absolute error = 8.881784197001252e-16 relative error = 4.758711320303225e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.866426349315786 y1[1] (numeric) = 1.866426349315789 absolute error = 2.664535259100376e-15 relative error = 1.427613396090967e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.048999999999995 y2[1] (analytic) = 1.866925220917475 y2[1] (numeric) = 1.866925220917476 absolute error = 8.881784197001252e-16 relative error = 4.757439718253108e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.866925220917475 y1[1] (numeric) = 1.866925220917477 absolute error = 2.664535259100376e-15 relative error = 1.427231915475932e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.049999999999995 y2[1] (analytic) = 1.867423225594014 y2[1] (numeric) = 1.867423225594016 absolute error = 1.110223024625157e-15 relative error = 5.945213754487831e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.867423225594014 y1[1] (numeric) = 1.867423225594017 absolute error = 2.886579864025407e-15 relative error = 1.545755576166836e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.050999999999995 y2[1] (analytic) = 1.867920362847401 y2[1] (numeric) = 1.867920362847402 absolute error = 1.110223024625157e-15 relative error = 5.943631466883129e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.867920362847401 y1[1] (numeric) = 1.867920362847404 absolute error = 2.886579864025407e-15 relative error = 1.545344181389614e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.051999999999995 y2[1] (analytic) = 1.868416632180497 y2[1] (numeric) = 1.868416632180498 absolute error = 1.332267629550188e-15 relative error = 7.130463337801658e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.868416632180497 y1[1] (numeric) = 1.8684166321805 absolute error = 3.108624468950438e-15 relative error = 1.663774778820387e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.052999999999995 y2[1] (analytic) = 1.868912033097033 y2[1] (numeric) = 1.868912033097035 absolute error = 1.332267629550188e-15 relative error = 7.128573233821204e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.868912033097033 y1[1] (numeric) = 1.868912033097036 absolute error = 3.108624468950438e-15 relative error = 1.663333754558281e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.053999999999995 y2[1] (analytic) = 1.869406565101609 y2[1] (numeric) = 1.86940656510161 absolute error = 1.332267629550188e-15 relative error = 7.126687444139657e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.869406565101609 y1[1] (numeric) = 1.869406565101612 absolute error = 3.108624468950438e-15 relative error = 1.66289373696592e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.054999999999995 y2[1] (analytic) = 1.869900227699691 y2[1] (numeric) = 1.869900227699693 absolute error = 1.554312234475219e-15 relative error = 8.312273625354324e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.869900227699691 y1[1] (numeric) = 1.869900227699695 absolute error = 3.33066907387547e-15 relative error = 1.781201491147355e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.055999999999994 y2[1] (analytic) = 1.870393020397619 y2[1] (numeric) = 1.870393020397621 absolute error = 1.554312234475219e-15 relative error = 8.310083589516359e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.870393020397619 y1[1] (numeric) = 1.870393020397622 absolute error = 3.33066907387547e-15 relative error = 1.780732197753506e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.056999999999994 y2[1] (analytic) = 1.870884942702599 y2[1] (numeric) = 1.8708849427026 absolute error = 1.554312234475219e-15 relative error = 8.307898572479435e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.870884942702599 y1[1] (numeric) = 1.870884942702602 absolute error = 3.33066907387547e-15 relative error = 1.780263979817022e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.057999999999994 y2[1] (analytic) = 1.871375994122709 y2[1] (numeric) = 1.87137599412271 absolute error = 1.554312234475219e-15 relative error = 8.305718569420212e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.871375994122709 y1[1] (numeric) = 1.871375994122712 absolute error = 3.33066907387547e-15 relative error = 1.779796836304331e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.058999999999994 y2[1] (analytic) = 1.871866174166897 y2[1] (numeric) = 1.871866174166898 absolute error = 1.554312234475219e-15 relative error = 8.303543575528257e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.871866174166897 y1[1] (numeric) = 1.8718661741669 absolute error = 3.33066907387547e-15 relative error = 1.779330766184626e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.059999999999994 y2[1] (analytic) = 1.872355482344983 y2[1] (numeric) = 1.872355482344985 absolute error = 1.554312234475219e-15 relative error = 8.301373586006013e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.872355482344983 y1[1] (numeric) = 1.872355482344987 absolute error = 3.33066907387547e-15 relative error = 1.77886576842986e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.060999999999994 y2[1] (analytic) = 1.87284391816766 y2[1] (numeric) = 1.872843918167662 absolute error = 1.554312234475219e-15 relative error = 8.299208596068785e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.87284391816766 y1[1] (numeric) = 1.872843918167664 absolute error = 3.33066907387547e-15 relative error = 1.77840184201474e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.061999999999994 y2[1] (analytic) = 1.873331481146492 y2[1] (numeric) = 1.873331481146494 absolute error = 1.77635683940025e-15 relative error = 9.482341258222531e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.873331481146492 y1[1] (numeric) = 1.873331481146495 absolute error = 3.552713678800501e-15 relative error = 1.896468251644506e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.062999999999994 y2[1] (analytic) = 1.873818170793915 y2[1] (numeric) = 1.873818170793917 absolute error = 1.77635683940025e-15 relative error = 9.479878395285433e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.873818170793915 y1[1] (numeric) = 1.873818170793919 absolute error = 3.552713678800501e-15 relative error = 1.895975679057087e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.063999999999994 y2[1] (analytic) = 1.87430398662324 y2[1] (numeric) = 1.874303986623242 absolute error = 1.77635683940025e-15 relative error = 9.47742122984302e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.87430398662324 y1[1] (numeric) = 1.874303986623244 absolute error = 3.552713678800501e-15 relative error = 1.895484245968604e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.064999999999994 y2[1] (analytic) = 1.874788928148652 y2[1] (numeric) = 1.874788928148654 absolute error = 1.998401444325282e-15 relative error = 1.065934097604629e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.874788928148652 y1[1] (numeric) = 1.874788928148655 absolute error = 3.774758283725532e-15 relative error = 2.013431073253187e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.065999999999993 y2[1] (analytic) = 1.875272994885208 y2[1] (numeric) = 1.87527299488521 absolute error = 1.998401444325282e-15 relative error = 1.065658946604524e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.875272994885208 y1[1] (numeric) = 1.875272994885212 absolute error = 3.774758283725532e-15 relative error = 2.012911343586323e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.066999999999993 y2[1] (analytic) = 1.875756186348842 y2[1] (numeric) = 1.875756186348844 absolute error = 1.998401444325282e-15 relative error = 1.065384434751709e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.875756186348842 y1[1] (numeric) = 1.875756186348846 absolute error = 3.774758283725532e-15 relative error = 2.012392821197672e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.067999999999993 y2[1] (analytic) = 1.876238502056363 y2[1] (numeric) = 1.876238502056365 absolute error = 1.998401444325282e-15 relative error = 1.065110561442497e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.876238502056363 y1[1] (numeric) = 1.876238502056367 absolute error = 3.774758283725532e-15 relative error = 2.011875504946938e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.068999999999993 y2[1] (analytic) = 1.876719941525455 y2[1] (numeric) = 1.876719941525457 absolute error = 1.998401444325282e-15 relative error = 1.064837326074833e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.876719941525455 y1[1] (numeric) = 1.876719941525459 absolute error = 3.774758283725532e-15 relative error = 2.011359393696906e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y2[1] (analytic) = 1.877200504274678 y2[1] (numeric) = 1.87720050427468 absolute error = 2.220446049250313e-15 relative error = 1.182849697831431e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.877200504274678 y1[1] (numeric) = 1.877200504274682 absolute error = 3.996802888650564e-15 relative error = 2.129129456096576e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.070999999999993 y2[1] (analytic) = 1.877680189823471 y2[1] (numeric) = 1.877680189823473 absolute error = 2.220446049250313e-15 relative error = 1.18254751862673e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.877680189823471 y1[1] (numeric) = 1.877680189823475 absolute error = 3.996802888650564e-15 relative error = 2.128585533528115e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.071999999999993 y2[1] (analytic) = 1.878158997692146 y2[1] (numeric) = 1.878158997692148 absolute error = 2.220446049250313e-15 relative error = 1.182246046249952e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.878158997692146 y1[1] (numeric) = 1.87815899769215 absolute error = 3.996802888650564e-15 relative error = 2.128042883249914e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.072999999999993 y2[1] (analytic) = 1.878636927401897 y2[1] (numeric) = 1.878636927401899 absolute error = 2.220446049250313e-15 relative error = 1.181945280039357e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.878636927401897 y1[1] (numeric) = 1.878636927401901 absolute error = 3.996802888650564e-15 relative error = 2.127501504070843e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.073999999999993 y2[1] (analytic) = 1.879113978474794 y2[1] (numeric) = 1.879113978474796 absolute error = 2.442490654175344e-15 relative error = 1.299809741268501e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.879113978474794 y1[1] (numeric) = 1.879113978474798 absolute error = 4.218847493575595e-15 relative error = 2.245125916736501e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.074999999999992 y2[1] (analytic) = 1.879590150433785 y2[1] (numeric) = 1.879590150433788 absolute error = 2.442490654175344e-15 relative error = 1.299480449826601e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.879590150433785 y1[1] (numeric) = 1.87959015043379 absolute error = 4.218847493575595e-15 relative error = 2.244557140609584e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.075999999999992 y2[1] (analytic) = 1.8800654428027 y2[1] (numeric) = 1.880065442802702 absolute error = 2.220446049250313e-15 relative error = 1.181047211814176e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.8800654428027 y1[1] (numeric) = 1.880065442802704 absolute error = 3.996802888650564e-15 relative error = 2.125884981265517e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.076999999999992 y2[1] (analytic) = 1.880539855106245 y2[1] (numeric) = 1.880539855106247 absolute error = 2.220446049250313e-15 relative error = 1.180749263686764e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.880539855106245 y1[1] (numeric) = 1.880539855106249 absolute error = 3.996802888650564e-15 relative error = 2.125348674636176e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.077999999999992 y2[1] (analytic) = 1.881013386870008 y2[1] (numeric) = 1.881013386870011 absolute error = 2.442490654175344e-15 relative error = 1.298497220288065e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.881013386870008 y1[1] (numeric) = 1.881013386870012 absolute error = 4.218847493575595e-15 relative error = 2.242858835043022e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.078999999999992 y2[1] (analytic) = 1.881486037620458 y2[1] (numeric) = 1.88148603762046 absolute error = 2.220446049250313e-15 relative error = 1.180155475433951e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.881486037620458 y1[1] (numeric) = 1.881486037620462 absolute error = 3.996802888650564e-15 relative error = 2.124279855781113e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y2[1] (analytic) = 1.881957806884944 y2[1] (numeric) = 1.881957806884946 absolute error = 2.442490654175344e-15 relative error = 1.297845597409119e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.881957806884944 y1[1] (numeric) = 1.881957806884948 absolute error = 4.218847493575595e-15 relative error = 2.24173330461575e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.080999999999992 y2[1] (analytic) = 1.882428694191696 y2[1] (numeric) = 1.882428694191698 absolute error = 2.442490654175344e-15 relative error = 1.297520942871165e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.882428694191696 y1[1] (numeric) = 1.8824286941917 absolute error = 4.218847493575595e-15 relative error = 2.241172537686557e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.081999999999992 y2[1] (analytic) = 1.882898699069828 y2[1] (numeric) = 1.88289869906983 absolute error = 2.442490654175344e-15 relative error = 1.297197058653214e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.882898699069828 y1[1] (numeric) = 1.882898699069832 absolute error = 4.218847493575595e-15 relative error = 2.240613101310098e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.082999999999992 y2[1] (analytic) = 1.883367821049334 y2[1] (numeric) = 1.883367821049336 absolute error = 2.442490654175344e-15 relative error = 1.296873944046942e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.883367821049334 y1[1] (numeric) = 1.883367821049338 absolute error = 4.218847493575595e-15 relative error = 2.2400549942629e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.083999999999991 y2[1] (analytic) = 1.883836059661092 y2[1] (numeric) = 1.883836059661095 absolute error = 2.442490654175344e-15 relative error = 1.29655159834596e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.883836059661092 y1[1] (numeric) = 1.883836059661097 absolute error = 4.218847493575595e-15 relative error = 2.23949821532484e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.084999999999991 y2[1] (analytic) = 1.884303414436865 y2[1] (numeric) = 1.884303414436868 absolute error = 2.442490654175344e-15 relative error = 1.296230020845818e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.884303414436865 y1[1] (numeric) = 1.884303414436869 absolute error = 4.218847493575595e-15 relative error = 2.238942763279141e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.085999999999991 y2[1] (analytic) = 1.884769884909297 y2[1] (numeric) = 1.8847698849093 absolute error = 2.664535259100376e-15 relative error = 1.413719139102546e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.884769884909297 y1[1] (numeric) = 1.884769884909301 absolute error = 4.440892098500626e-15 relative error = 2.35619856517091e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.086999999999991 y2[1] (analytic) = 1.885235470611918 y2[1] (numeric) = 1.88523547061192 absolute error = 2.664535259100376e-15 relative error = 1.413370001061729e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.885235470611918 y1[1] (numeric) = 1.885235470611922 absolute error = 4.440892098500626e-15 relative error = 2.355616668436215e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.087999999999991 y2[1] (analytic) = 1.885700171079142 y2[1] (numeric) = 1.885700171079144 absolute error = 2.664535259100376e-15 relative error = 1.413021698765358e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.885700171079142 y1[1] (numeric) = 1.885700171079146 absolute error = 4.440892098500626e-15 relative error = 2.35503616460893e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.088999999999991 y2[1] (analytic) = 1.886163985846268 y2[1] (numeric) = 1.886163985846271 absolute error = 2.886579864025407e-15 relative error = 1.530397084074469e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.886163985846268 y1[1] (numeric) = 1.886163985846273 absolute error = 4.662936703425657e-15 relative error = 2.472179905043373e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y2[1] (analytic) = 1.886626914449483 y2[1] (numeric) = 1.886626914449486 absolute error = 2.886579864025407e-15 relative error = 1.530021564898384e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.886626914449483 y1[1] (numeric) = 1.886626914449488 absolute error = 4.662936703425657e-15 relative error = 2.471573297143543e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.090999999999991 y2[1] (analytic) = 1.887088956425857 y2[1] (numeric) = 1.88708895642586 absolute error = 2.886579864025407e-15 relative error = 1.529646948648666e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.887088956425857 y1[1] (numeric) = 1.887088956425862 absolute error = 4.662936703425657e-15 relative error = 2.470968147817075e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.091999999999991 y2[1] (analytic) = 1.887550111313349 y2[1] (numeric) = 1.887550111313351 absolute error = 2.886579864025407e-15 relative error = 1.529273234508692e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.887550111313349 y1[1] (numeric) = 1.887550111313353 absolute error = 4.662936703425657e-15 relative error = 2.470364455744811e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09299999999999 y2[1] (analytic) = 1.888010378650803 y2[1] (numeric) = 1.888010378650806 absolute error = 2.886579864025407e-15 relative error = 1.528900421664099e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.888010378650803 y1[1] (numeric) = 1.888010378650808 absolute error = 4.662936703425657e-15 relative error = 2.469762219611236e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09399999999999 y2[1] (analytic) = 1.888469757977952 y2[1] (numeric) = 1.888469757977955 absolute error = 3.108624468950438e-15 relative error = 1.646107625402986e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.888469757977952 y1[1] (numeric) = 1.888469757977957 absolute error = 4.884981308350689e-15 relative error = 2.586740554204692e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09499999999999 y2[1] (analytic) = 1.888928248835418 y2[1] (numeric) = 1.888928248835421 absolute error = 3.108624468950438e-15 relative error = 1.645708073277532e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.888928248835418 y1[1] (numeric) = 1.888928248835423 absolute error = 4.884981308350689e-15 relative error = 2.586112686578979e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09599999999999 y2[1] (analytic) = 1.889385850764709 y2[1] (numeric) = 1.889385850764712 absolute error = 3.108624468950438e-15 relative error = 1.645309489161388e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.889385850764709 y1[1] (numeric) = 1.889385850764714 absolute error = 4.884981308350689e-15 relative error = 2.585486340110753e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09699999999999 y2[1] (analytic) = 1.889842563308223 y2[1] (numeric) = 1.889842563308226 absolute error = 3.108624468950438e-15 relative error = 1.644911872187227e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.889842563308223 y1[1] (numeric) = 1.889842563308228 absolute error = 4.884981308350689e-15 relative error = 2.584861513437072e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09799999999999 y2[1] (analytic) = 1.890298386009248 y2[1] (numeric) = 1.890298386009251 absolute error = 3.108624468950438e-15 relative error = 1.644515221490132e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.890298386009248 y1[1] (numeric) = 1.890298386009253 absolute error = 4.884981308350689e-15 relative error = 2.584238205198779e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09899999999999 y2[1] (analytic) = 1.890753318411962 y2[1] (numeric) = 1.890753318411965 absolute error = 3.108624468950438e-15 relative error = 1.644119536207591e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.890753318411962 y1[1] (numeric) = 1.890753318411966 absolute error = 4.884981308350689e-15 relative error = 2.583616414040501e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09999999999999 y2[1] (analytic) = 1.891207360061431 y2[1] (numeric) = 1.891207360061434 absolute error = 3.108624468950438e-15 relative error = 1.643724815479495e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.891207360061431 y1[1] (numeric) = 1.891207360061436 absolute error = 4.884981308350689e-15 relative error = 2.582996138610635e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.10099999999999 y2[1] (analytic) = 1.891660510503614 y2[1] (numeric) = 1.891660510503617 absolute error = 3.33066907387547e-15 relative error = 1.760711848337285e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.891660510503614 y1[1] (numeric) = 1.891660510503619 absolute error = 5.10702591327572e-15 relative error = 2.699758167450503e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.101999999999989 y2[1] (analytic) = 1.892112769285361 y2[1] (numeric) = 1.892112769285364 absolute error = 3.33066907387547e-15 relative error = 1.760290997419484e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.892112769285361 y1[1] (numeric) = 1.892112769285366 absolute error = 5.10702591327572e-15 relative error = 2.699112862709875e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.102999999999989 y2[1] (analytic) = 1.892564135954413 y2[1] (numeric) = 1.892564135954417 absolute error = 3.33066907387547e-15 relative error = 1.759871177203633e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.892564135954413 y1[1] (numeric) = 1.892564135954418 absolute error = 5.10702591327572e-15 relative error = 2.698469138378904e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.103999999999989 y2[1] (analytic) = 1.893014610059404 y2[1] (numeric) = 1.893014610059407 absolute error = 3.33066907387547e-15 relative error = 1.759452386778437e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.893014610059404 y1[1] (numeric) = 1.893014610059409 absolute error = 5.10702591327572e-15 relative error = 2.69782699306027e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.104999999999989 y2[1] (analytic) = 1.893464191149859 y2[1] (numeric) = 1.893464191149862 absolute error = 3.552713678800501e-15 relative error = 1.876303600250828e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.893464191149859 y1[1] (numeric) = 1.893464191149864 absolute error = 5.329070518200751e-15 relative error = 2.814455400376241e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.105999999999989 y2[1] (analytic) = 1.893912878776197 y2[1] (numeric) = 1.893912878776201 absolute error = 3.552713678800501e-15 relative error = 1.875859084445417e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.893912878776197 y1[1] (numeric) = 1.893912878776202 absolute error = 5.329070518200751e-15 relative error = 2.813788626668126e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.106999999999989 y2[1] (analytic) = 1.894360672489731 y2[1] (numeric) = 1.894360672489735 absolute error = 3.774758283725532e-15 relative error = 1.992629143195008e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.894360672489731 y1[1] (numeric) = 1.894360672489736 absolute error = 5.551115123125783e-15 relative error = 2.930336975286777e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.107999999999989 y2[1] (analytic) = 1.894807571842667 y2[1] (numeric) = 1.894807571842671 absolute error = 3.774758283725532e-15 relative error = 1.992159172160499e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.894807571842667 y1[1] (numeric) = 1.894807571842672 absolute error = 5.551115123125783e-15 relative error = 2.929645841412499e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.108999999999989 y2[1] (analytic) = 1.895253576388106 y2[1] (numeric) = 1.89525357638811 absolute error = 3.996802888650564e-15 relative error = 2.108848619754356e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.895253576388106 y1[1] (numeric) = 1.895253576388111 absolute error = 5.773159728050814e-15 relative error = 3.046114672978515e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.109999999999989 y2[1] (analytic) = 1.895698685680043 y2[1] (numeric) = 1.895698685680046 absolute error = 3.774758283725532e-15 relative error = 1.991222715001997e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.895698685680043 y1[1] (numeric) = 1.895698685680048 absolute error = 5.773159728050814e-15 relative error = 3.045399446473643e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.110999999999988 y2[1] (analytic) = 1.896142899273368 y2[1] (numeric) = 1.896142899273372 absolute error = 3.996802888650564e-15 relative error = 2.107859534311576e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.896142899273368 y1[1] (numeric) = 1.896142899273374 absolute error = 5.995204332975845e-15 relative error = 3.161789301467364e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.111999999999988 y2[1] (analytic) = 1.89658621672387 y2[1] (numeric) = 1.896586216723874 absolute error = 3.996802888650564e-15 relative error = 2.107366832790007e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.89658621672387 y1[1] (numeric) = 1.896586216723876 absolute error = 5.995204332975845e-15 relative error = 3.161050249185011e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.112999999999988 y2[1] (analytic) = 1.897028637588229 y2[1] (numeric) = 1.897028637588233 absolute error = 4.218847493575595e-15 relative error = 2.223923988274205e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.897028637588229 y1[1] (numeric) = 1.897028637588235 absolute error = 6.217248937900877e-15 relative error = 3.277361666930407e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.113999999999988 y2[1] (analytic) = 1.897470161424025 y2[1] (numeric) = 1.89747016142403 absolute error = 4.218847493575595e-15 relative error = 2.223406501638691e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.897470161424025 y1[1] (numeric) = 1.897470161424032 absolute error = 6.217248937900877e-15 relative error = 3.276599055046492e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.114999999999988 y2[1] (analytic) = 1.897910787789735 y2[1] (numeric) = 1.89791078778974 absolute error = 4.218847493575595e-15 relative error = 2.222890306919416e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.897910787789735 y1[1] (numeric) = 1.897910787789742 absolute error = 6.217248937900877e-15 relative error = 3.275838347039139e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.115999999999988 y2[1] (analytic) = 1.898350516244732 y2[1] (numeric) = 1.898350516244736 absolute error = 4.218847493575595e-15 relative error = 2.2223754030005e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.898350516244732 y1[1] (numeric) = 1.898350516244738 absolute error = 6.217248937900877e-15 relative error = 3.275079541263895e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.116999999999988 y2[1] (analytic) = 1.898789346349288 y2[1] (numeric) = 1.898789346349292 absolute error = 4.218847493575595e-15 relative error = 2.221861788769235e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.898789346349288 y1[1] (numeric) = 1.898789346349294 absolute error = 6.217248937900877e-15 relative error = 3.274322636080978e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.117999999999988 y2[1] (analytic) = 1.899227277664572 y2[1] (numeric) = 1.899227277664576 absolute error = 4.218847493575595e-15 relative error = 2.221349463116072e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.899227277664572 y1[1] (numeric) = 1.899227277664578 absolute error = 6.217248937900877e-15 relative error = 3.273567629855264e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.118999999999988 y2[1] (analytic) = 1.899664309752653 y2[1] (numeric) = 1.899664309752657 absolute error = 4.218847493575595e-15 relative error = 2.22083842493462e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.899664309752653 y1[1] (numeric) = 1.899664309752659 absolute error = 6.217248937900877e-15 relative error = 3.272814520956283e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y2[1] (analytic) = 1.9001004421765 y2[1] (numeric) = 1.900100442176504 absolute error = 4.440892098500626e-15 relative error = 2.337188076970151e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.9001004421765 y1[1] (numeric) = 1.900100442176506 absolute error = 6.439293542825908e-15 relative error = 3.388922711606719e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.120999999999987 y2[1] (analytic) = 1.900535674499979 y2[1] (numeric) = 1.900535674499983 absolute error = 4.440892098500626e-15 relative error = 2.336652849028473e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.900535674499979 y1[1] (numeric) = 1.900535674499985 absolute error = 6.439293542825908e-15 relative error = 3.388146631091286e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.121999999999987 y2[1] (analytic) = 1.900970006287859 y2[1] (numeric) = 1.900970006287863 absolute error = 4.440892098500626e-15 relative error = 2.3361189728462e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.900970006287859 y1[1] (numeric) = 1.900970006287865 absolute error = 6.439293542825908e-15 relative error = 3.387372510626989e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.122999999999987 y2[1] (analytic) = 1.901403437105808 y2[1] (numeric) = 1.901403437105812 absolute error = 4.440892098500626e-15 relative error = 2.335586447271949e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.901403437105808 y1[1] (numeric) = 1.901403437105814 absolute error = 6.439293542825908e-15 relative error = 3.386600348544327e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.123999999999987 y2[1] (analytic) = 1.901835966520394 y2[1] (numeric) = 1.901835966520399 absolute error = 4.662936703425657e-15 relative error = 2.451808034715519e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.901835966520394 y1[1] (numeric) = 1.901835966520401 absolute error = 6.661338147750939e-15 relative error = 3.502582906736456e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.124999999999987 y2[1] (analytic) = 1.902267594099089 y2[1] (numeric) = 1.902267594099094 absolute error = 4.662936703425657e-15 relative error = 2.451251715526393e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.902267594099089 y1[1] (numeric) = 1.902267594099096 absolute error = 6.661338147750939e-15 relative error = 3.501788165037705e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.125999999999987 y2[1] (analytic) = 1.902698319410266 y2[1] (numeric) = 1.90269831941027 absolute error = 4.440892098500626e-15 relative error = 2.333996962732938e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.902698319410266 y1[1] (numeric) = 1.902698319410272 absolute error = 6.439293542825908e-15 relative error = 3.38429559596276e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.126999999999987 y2[1] (analytic) = 1.903128142023198 y2[1] (numeric) = 1.903128142023203 absolute error = 4.440892098500626e-15 relative error = 2.333469828142814e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.903128142023198 y1[1] (numeric) = 1.903128142023205 absolute error = 6.439293542825908e-15 relative error = 3.383531250807081e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.127999999999987 y2[1] (analytic) = 1.903557061508064 y2[1] (numeric) = 1.903557061508068 absolute error = 4.440892098500626e-15 relative error = 2.332944038453146e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.903557061508064 y1[1] (numeric) = 1.90355706150807 absolute error = 6.439293542825908e-15 relative error = 3.382768855757062e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.128999999999986 y2[1] (analytic) = 1.903985077435943 y2[1] (numeric) = 1.903985077435947 absolute error = 4.440892098500626e-15 relative error = 2.33241959253225e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.903985077435943 y1[1] (numeric) = 1.903985077435949 absolute error = 6.439293542825908e-15 relative error = 3.382008409171762e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y2[1] (analytic) = 1.90441218937882 y2[1] (numeric) = 1.904412189378825 absolute error = 4.440892098500626e-15 relative error = 2.331896489251706e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.90441218937882 y1[1] (numeric) = 1.904412189378827 absolute error = 6.439293542825908e-15 relative error = 3.381249909414974e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.130999999999986 y2[1] (analytic) = 1.904838396909583 y2[1] (numeric) = 1.904838396909588 absolute error = 4.662936703425657e-15 relative error = 2.447943463860673e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.904838396909583 y1[1] (numeric) = 1.90483839690959 absolute error = 6.661338147750939e-15 relative error = 3.497062091229533e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.131999999999986 y2[1] (analytic) = 1.905263699602025 y2[1] (numeric) = 1.90526369960203 absolute error = 4.662936703425657e-15 relative error = 2.447397021420007e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.905263699602025 y1[1] (numeric) = 1.905263699602032 absolute error = 6.661338147750939e-15 relative error = 3.496281459171438e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.132999999999986 y2[1] (analytic) = 1.905688097030842 y2[1] (numeric) = 1.905688097030847 absolute error = 4.884981308350689e-15 relative error = 2.563368746418543e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.905688097030842 y1[1] (numeric) = 1.905688097030849 absolute error = 6.883382752675971e-15 relative error = 3.612019597226128e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.133999999999986 y2[1] (analytic) = 1.906111588771638 y2[1] (numeric) = 1.906111588771643 absolute error = 4.884981308350689e-15 relative error = 2.562799228086501e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.906111588771638 y1[1] (numeric) = 1.906111588771645 absolute error = 6.883382752675971e-15 relative error = 3.611217094121888e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.134999999999986 y2[1] (analytic) = 1.906534174400921 y2[1] (numeric) = 1.906534174400926 absolute error = 4.884981308350689e-15 relative error = 2.562231180506202e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.906534174400921 y1[1] (numeric) = 1.906534174400928 absolute error = 6.883382752675971e-15 relative error = 3.610416663440557e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.135999999999986 y2[1] (analytic) = 1.906955853496105 y2[1] (numeric) = 1.90695585349611 absolute error = 4.884981308350689e-15 relative error = 2.561664602457807e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.906955853496105 y1[1] (numeric) = 1.906955853496112 absolute error = 6.883382752675971e-15 relative error = 3.609618303463275e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.136999999999986 y2[1] (analytic) = 1.907376625635511 y2[1] (numeric) = 1.907376625635516 absolute error = 4.884981308350689e-15 relative error = 2.561099492725032e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.907376625635511 y1[1] (numeric) = 1.907376625635518 absolute error = 6.883382752675971e-15 relative error = 3.608822012476181e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.137999999999985 y2[1] (analytic) = 1.907796490398367 y2[1] (numeric) = 1.907796490398372 absolute error = 4.884981308350689e-15 relative error = 2.560535850095131e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.907796490398367 y1[1] (numeric) = 1.907796490398374 absolute error = 6.883382752675971e-15 relative error = 3.608027788770411e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.138999999999985 y2[1] (analytic) = 1.908215447364808 y2[1] (numeric) = 1.908215447364813 absolute error = 5.10702591327572e-15 relative error = 2.676336113057035e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.908215447364808 y1[1] (numeric) = 1.908215447364815 absolute error = 7.105427357601002e-15 relative error = 3.723598070340223e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y2[1] (analytic) = 1.908633496115877 y2[1] (numeric) = 1.908633496115882 absolute error = 5.10702591327572e-15 relative error = 2.675749914097527e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.908633496115877 y1[1] (numeric) = 1.908633496115884 absolute error = 7.105427357601002e-15 relative error = 3.722782489179167e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.140999999999985 y2[1] (analytic) = 1.909050636233526 y2[1] (numeric) = 1.909050636233531 absolute error = 5.10702591327572e-15 relative error = 2.675165245145964e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.909050636233526 y1[1] (numeric) = 1.909050636233533 absolute error = 7.105427357601002e-15 relative error = 3.72196903672482e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.141999999999985 y2[1] (analytic) = 1.909466867300615 y2[1] (numeric) = 1.90946686730062 absolute error = 5.10702591327572e-15 relative error = 2.674582104949246e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.909466867300615 y1[1] (numeric) = 1.909466867300622 absolute error = 7.105427357601002e-15 relative error = 3.721157711233733e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.142999999999985 y2[1] (analytic) = 1.909882188900912 y2[1] (numeric) = 1.909882188900917 absolute error = 5.10702591327572e-15 relative error = 2.674000492257945e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.909882188900912 y1[1] (numeric) = 1.909882188900919 absolute error = 7.105427357601002e-15 relative error = 3.720348510967576e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.143999999999985 y2[1] (analytic) = 1.910296600619096 y2[1] (numeric) = 1.910296600619101 absolute error = 5.10702591327572e-15 relative error = 2.673420405826308e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.910296600619096 y1[1] (numeric) = 1.910296600619103 absolute error = 7.105427357601002e-15 relative error = 3.719541434193125e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.144999999999985 y2[1] (analytic) = 1.910710102040755 y2[1] (numeric) = 1.91071010204076 absolute error = 5.329070518200751e-15 relative error = 2.78905235938669e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.910710102040755 y1[1] (numeric) = 1.910710102040762 absolute error = 7.327471962526033e-15 relative error = 3.8349469941567e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.145999999999985 y2[1] (analytic) = 1.911122692752388 y2[1] (numeric) = 1.911122692752393 absolute error = 5.10702591327572e-15 relative error = 2.672264806777324e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.911122692752388 y1[1] (numeric) = 1.911122692752395 absolute error = 7.105427357601002e-15 relative error = 3.71793364421193e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.146999999999984 y2[1] (analytic) = 1.911534372341404 y2[1] (numeric) = 1.91153437234141 absolute error = 5.329070518200751e-15 relative error = 2.787849695673151e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.911534372341404 y1[1] (numeric) = 1.911534372341412 absolute error = 7.327471962526033e-15 relative error = 3.833293331550583e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.147999999999984 y2[1] (analytic) = 1.911945140396124 y2[1] (numeric) = 1.911945140396129 absolute error = 5.329070518200751e-15 relative error = 2.787250745644645e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.911945140396124 y1[1] (numeric) = 1.911945140396131 absolute error = 7.327471962526033e-15 relative error = 3.832469775261386e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.148999999999984 y2[1] (analytic) = 1.91235499650578 y2[1] (numeric) = 1.912354996505785 absolute error = 5.329070518200751e-15 relative error = 2.786653381792571e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.91235499650578 y1[1] (numeric) = 1.912354996505787 absolute error = 7.327471962526033e-15 relative error = 3.831648399964786e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y2[1] (analytic) = 1.912763940260515 y2[1] (numeric) = 1.91276394026052 absolute error = 5.329070518200751e-15 relative error = 2.786057602839869e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.912763940260515 y1[1] (numeric) = 1.912763940260522 absolute error = 7.327471962526033e-15 relative error = 3.83082920390482e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.150999999999984 y2[1] (analytic) = 1.913171971251385 y2[1] (numeric) = 1.913171971251391 absolute error = 5.10702591327572e-15 relative error = 2.669402432200211e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.913171971251385 y1[1] (numeric) = 1.913171971251393 absolute error = 7.105427357601002e-15 relative error = 3.713951210017685e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.151999999999984 y2[1] (analytic) = 1.913579089070361 y2[1] (numeric) = 1.913579089070366 absolute error = 5.329070518200751e-15 relative error = 2.784870794543264e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.913579089070361 y1[1] (numeric) = 1.913579089070368 absolute error = 7.327471962526033e-15 relative error = 3.829197342496988e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.152999999999984 y2[1] (analytic) = 1.913985293310324 y2[1] (numeric) = 1.913985293310329 absolute error = 5.329070518200751e-15 relative error = 2.784279762664155e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.913985293310324 y1[1] (numeric) = 1.913985293310331 absolute error = 7.327471962526033e-15 relative error = 3.828384673663213e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.153999999999984 y2[1] (analytic) = 1.914390583565069 y2[1] (numeric) = 1.914390583565075 absolute error = 5.329070518200751e-15 relative error = 2.783690310613993e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.914390583565069 y1[1] (numeric) = 1.914390583565077 absolute error = 7.327471962526033e-15 relative error = 3.827574177094241e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.154999999999984 y2[1] (analytic) = 1.914794959429307 y2[1] (numeric) = 1.914794959429313 absolute error = 5.329070518200751e-15 relative error = 2.783102437134599e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.914794959429307 y1[1] (numeric) = 1.914794959429315 absolute error = 7.327471962526033e-15 relative error = 3.826765851060074e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.155999999999983 y2[1] (analytic) = 1.915198420498663 y2[1] (numeric) = 1.915198420498668 absolute error = 5.329070518200751e-15 relative error = 2.782516140971553e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.915198420498663 y1[1] (numeric) = 1.91519842049867 absolute error = 7.327471962526033e-15 relative error = 3.825959693835885e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.156999999999983 y2[1] (analytic) = 1.915600966369673 y2[1] (numeric) = 1.915600966369679 absolute error = 5.551115123125783e-15 relative error = 2.897845230077279e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.915600966369673 y1[1] (numeric) = 1.915600966369681 absolute error = 7.549516567451064e-15 relative error = 3.941069512905099e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.157999999999983 y2[1] (analytic) = 1.916002596639794 y2[1] (numeric) = 1.916002596639799 absolute error = 5.329070518200751e-15 relative error = 2.781348275595583e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.916002596639794 y1[1] (numeric) = 1.916002596639801 absolute error = 7.327471962526033e-15 relative error = 3.824353878943927e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.158999999999983 y2[1] (analytic) = 1.916403310907394 y2[1] (numeric) = 1.9164033109074 absolute error = 5.329070518200751e-15 relative error = 2.780766703892564e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.916403310907394 y1[1] (numeric) = 1.916403310907402 absolute error = 7.327471962526033e-15 relative error = 3.823554217852276e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y2[1] (analytic) = 1.91680310877176 y2[1] (numeric) = 1.916803108771766 absolute error = 5.551115123125783e-15 relative error = 2.896027817214257e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.91680310877176 y1[1] (numeric) = 1.916803108771768 absolute error = 7.549516567451064e-15 relative error = 3.93859783141139e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.160999999999983 y2[1] (analytic) = 1.917201989833094 y2[1] (numeric) = 1.917201989833099 absolute error = 5.551115123125783e-15 relative error = 2.895425287770042e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.917201989833094 y1[1] (numeric) = 1.917201989833101 absolute error = 7.549516567451064e-15 relative error = 3.937778391367258e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.161999999999983 y2[1] (analytic) = 1.917599953692514 y2[1] (numeric) = 1.917599953692519 absolute error = 5.551115123125783e-15 relative error = 2.894824393605457e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.917599953692514 y1[1] (numeric) = 1.917599953692521 absolute error = 7.549516567451064e-15 relative error = 3.936961175303421e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.162999999999983 y2[1] (analytic) = 1.917996999952057 y2[1] (numeric) = 1.917996999952062 absolute error = 5.551115123125783e-15 relative error = 2.894225133441054e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.917996999952057 y1[1] (numeric) = 1.917996999952064 absolute error = 7.549516567451064e-15 relative error = 3.936146181479834e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.163999999999983 y2[1] (analytic) = 1.918393128214676 y2[1] (numeric) = 1.918393128214682 absolute error = 5.551115123125783e-15 relative error = 2.893627506001257e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.918393128214676 y1[1] (numeric) = 1.918393128214684 absolute error = 7.549516567451064e-15 relative error = 3.93533340816171e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.164999999999982 y2[1] (analytic) = 1.918788338084244 y2[1] (numeric) = 1.918788338084249 absolute error = 5.551115123125783e-15 relative error = 2.893031510014349e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.918788338084244 y1[1] (numeric) = 1.918788338084251 absolute error = 7.549516567451064e-15 relative error = 3.934522853619515e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.165999999999982 y2[1] (analytic) = 1.91918262916555 y2[1] (numeric) = 1.919182629165555 absolute error = 5.551115123125783e-15 relative error = 2.89243714421247e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.91918262916555 y1[1] (numeric) = 1.919182629165557 absolute error = 7.549516567451064e-15 relative error = 3.933714516128959e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.166999999999982 y2[1] (analytic) = 1.919576001064303 y2[1] (numeric) = 1.919576001064309 absolute error = 5.551115123125783e-15 relative error = 2.89184440733161e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.919576001064303 y1[1] (numeric) = 1.919576001064311 absolute error = 7.549516567451064e-15 relative error = 3.93290839397099e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.167999999999982 y2[1] (analytic) = 1.919968453387133 y2[1] (numeric) = 1.919968453387138 absolute error = 5.551115123125783e-15 relative error = 2.891253298111604e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.919968453387133 y1[1] (numeric) = 1.91996845338714 absolute error = 7.549516567451064e-15 relative error = 3.932104485431781e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.168999999999982 y2[1] (analytic) = 1.920359985741585 y2[1] (numeric) = 1.920359985741591 absolute error = 5.551115123125783e-15 relative error = 2.890663815296125e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.920359985741585 y1[1] (numeric) = 1.920359985741593 absolute error = 7.549516567451064e-15 relative error = 3.93130278880273e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y2[1] (analytic) = 1.920750597736129 y2[1] (numeric) = 1.920750597736134 absolute error = 5.551115123125783e-15 relative error = 2.890075957632679e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.920750597736129 y1[1] (numeric) = 1.920750597736136 absolute error = 7.549516567451064e-15 relative error = 3.930503302380443e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.170999999999982 y2[1] (analytic) = 1.921140288980151 y2[1] (numeric) = 1.921140288980157 absolute error = 5.551115123125783e-15 relative error = 2.8894897238726e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.921140288980151 y1[1] (numeric) = 1.921140288980159 absolute error = 7.549516567451064e-15 relative error = 3.929706024466736e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.171999999999982 y2[1] (analytic) = 1.921529059083961 y2[1] (numeric) = 1.921529059083967 absolute error = 5.551115123125783e-15 relative error = 2.888905112771041e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.921529059083961 y1[1] (numeric) = 1.921529059083969 absolute error = 7.549516567451064e-15 relative error = 3.928910953368615e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.172999999999982 y2[1] (analytic) = 1.921916907658789 y2[1] (numeric) = 1.921916907658795 absolute error = 5.551115123125783e-15 relative error = 2.888322123086972e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.921916907658789 y1[1] (numeric) = 1.921916907658797 absolute error = 7.549516567451064e-15 relative error = 3.928118087398282e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.173999999999982 y2[1] (analytic) = 1.922303834316786 y2[1] (numeric) = 1.922303834316792 absolute error = 5.551115123125783e-15 relative error = 2.887740753583175e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.922303834316786 y1[1] (numeric) = 1.922303834316794 absolute error = 7.549516567451064e-15 relative error = 3.927327424873118e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.174999999999981 y2[1] (analytic) = 1.922689838671026 y2[1] (numeric) = 1.922689838671031 absolute error = 5.551115123125783e-15 relative error = 2.887161003026232e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.922689838671026 y1[1] (numeric) = 1.922689838671033 absolute error = 7.549516567451064e-15 relative error = 3.926538964115675e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.175999999999981 y2[1] (analytic) = 1.923074920335504 y2[1] (numeric) = 1.923074920335509 absolute error = 5.551115123125783e-15 relative error = 2.886582870186525e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.923074920335504 y1[1] (numeric) = 1.923074920335511 absolute error = 7.549516567451064e-15 relative error = 3.925752703453675e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.176999999999981 y2[1] (analytic) = 1.923459078925138 y2[1] (numeric) = 1.923459078925144 absolute error = 5.551115123125783e-15 relative error = 2.886006353838232e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.923459078925138 y1[1] (numeric) = 1.923459078925146 absolute error = 7.549516567451064e-15 relative error = 3.924968641219996e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.177999999999981 y2[1] (analytic) = 1.923842314055771 y2[1] (numeric) = 1.923842314055776 absolute error = 5.773159728050814e-15 relative error = 3.000848710869687e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.923842314055771 y1[1] (numeric) = 1.923842314055778 absolute error = 7.771561172376096e-15 relative error = 4.03960403386304e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.178999999999981 y2[1] (analytic) = 1.924224625344166 y2[1] (numeric) = 1.924224625344172 absolute error = 5.773159728050814e-15 relative error = 3.000252492360776e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.924224625344166 y1[1] (numeric) = 1.924224625344174 absolute error = 7.771561172376096e-15 relative error = 4.038801432024121e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y2[1] (analytic) = 1.924606012408013 y2[1] (numeric) = 1.924606012408019 absolute error = 5.773159728050814e-15 relative error = 2.99965795120197e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.924606012408013 y1[1] (numeric) = 1.924606012408021 absolute error = 7.771561172376096e-15 relative error = 4.038001088156498e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.180999999999981 y2[1] (analytic) = 1.924986474865925 y2[1] (numeric) = 1.924986474865931 absolute error = 5.995204332975845e-15 relative error = 3.114413743293138e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.924986474865925 y1[1] (numeric) = 1.924986474865933 absolute error = 7.993605777301127e-15 relative error = 4.152551657724183e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.181999999999981 y2[1] (analytic) = 1.925366012337439 y2[1] (numeric) = 1.925366012337445 absolute error = 5.773159728050814e-15 relative error = 2.99847389590204e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.925366012337439 y1[1] (numeric) = 1.925366012337447 absolute error = 7.771561172376096e-15 relative error = 4.036407167560438e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.182999999999981 y2[1] (analytic) = 1.925744624443017 y2[1] (numeric) = 1.925744624443023 absolute error = 5.773159728050814e-15 relative error = 2.99788437925438e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.925744624443017 y1[1] (numeric) = 1.925744624443025 absolute error = 7.771561172376096e-15 relative error = 4.035613587457819e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18399999999998 y2[1] (analytic) = 1.926122310804049 y2[1] (numeric) = 1.926122310804055 absolute error = 5.773159728050814e-15 relative error = 2.997296534943745e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.926122310804049 y1[1] (numeric) = 1.926122310804057 absolute error = 7.771561172376096e-15 relative error = 4.034822258578118e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18499999999998 y2[1] (analytic) = 1.926499071042847 y2[1] (numeric) = 1.926499071042852 absolute error = 5.773159728050814e-15 relative error = 2.996710361726624e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.926499071042847 y1[1] (numeric) = 1.926499071042854 absolute error = 7.771561172376096e-15 relative error = 4.034033179247378e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18599999999998 y2[1] (analytic) = 1.926874904782651 y2[1] (numeric) = 1.926874904782656 absolute error = 5.773159728050814e-15 relative error = 2.9961258583634e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.926874904782651 y1[1] (numeric) = 1.926874904782658 absolute error = 7.771561172376096e-15 relative error = 4.033246347796885e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18699999999998 y2[1] (analytic) = 1.927249811647627 y2[1] (numeric) = 1.927249811647633 absolute error = 5.773159728050814e-15 relative error = 2.995543023618343e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.927249811647627 y1[1] (numeric) = 1.927249811647635 absolute error = 7.771561172376096e-15 relative error = 4.032461762563154e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18799999999998 y2[1] (analytic) = 1.927623791262869 y2[1] (numeric) = 1.927623791262875 absolute error = 5.773159728050814e-15 relative error = 2.994961856259602e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.927623791262869 y1[1] (numeric) = 1.927623791262877 absolute error = 7.771561172376096e-15 relative error = 4.031679421887926e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18899999999998 y2[1] (analytic) = 1.927996843254397 y2[1] (numeric) = 1.927996843254403 absolute error = 5.773159728050814e-15 relative error = 2.994382355059205e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.927996843254397 y1[1] (numeric) = 1.927996843254405 absolute error = 7.771561172376096e-15 relative error = 4.03089932411816e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y2[1] (analytic) = 1.928368967249159 y2[1] (numeric) = 1.928368967249165 absolute error = 5.773159728050814e-15 relative error = 2.993804518793047e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.928368967249159 y1[1] (numeric) = 1.928368967249167 absolute error = 7.993605777301127e-15 relative error = 4.145267795251912e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.19099999999998 y2[1] (analytic) = 1.928740162875031 y2[1] (numeric) = 1.928740162875037 absolute error = 5.773159728050814e-15 relative error = 2.99322834624089e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.928740162875031 y1[1] (numeric) = 1.928740162875039 absolute error = 7.993605777301127e-15 relative error = 4.144470017872001e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.19199999999998 y2[1] (analytic) = 1.929110429760818 y2[1] (numeric) = 1.929110429760824 absolute error = 5.773159728050814e-15 relative error = 2.992653836186352e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.929110429760818 y1[1] (numeric) = 1.929110429760826 absolute error = 7.993605777301127e-15 relative error = 4.143674542411872e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.192999999999979 y2[1] (analytic) = 1.929479767536253 y2[1] (numeric) = 1.929479767536258 absolute error = 5.551115123125783e-15 relative error = 2.877000949439333e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.929479767536253 y1[1] (numeric) = 1.929479767536261 absolute error = 7.993605777301127e-15 relative error = 4.14288136719264e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.193999999999979 y2[1] (analytic) = 1.929848175831997 y2[1] (numeric) = 1.929848175832003 absolute error = 5.773159728050814e-15 relative error = 2.991509798723875e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.929848175831997 y1[1] (numeric) = 1.929848175832005 absolute error = 8.215650382226158e-15 relative error = 4.257148559722437e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.194999999999979 y2[1] (analytic) = 1.930215654279643 y2[1] (numeric) = 1.930215654279649 absolute error = 5.773159728050814e-15 relative error = 2.990940268902419e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.930215654279643 y1[1] (numeric) = 1.930215654279651 absolute error = 8.215650382226158e-15 relative error = 4.25633807497652e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.195999999999979 y2[1] (analytic) = 1.930582202511712 y2[1] (numeric) = 1.930582202511718 absolute error = 5.773159728050814e-15 relative error = 2.990372396751539e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.930582202511712 y1[1] (numeric) = 1.930582202511721 absolute error = 8.215650382226158e-15 relative error = 4.255529949223344e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.196999999999979 y2[1] (analytic) = 1.930947820161657 y2[1] (numeric) = 1.930947820161662 absolute error = 5.773159728050814e-15 relative error = 2.989806181074065e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.930947820161657 y1[1] (numeric) = 1.930947820161665 absolute error = 8.215650382226158e-15 relative error = 4.254724180759247e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.197999999999979 y2[1] (analytic) = 1.931312506863858 y2[1] (numeric) = 1.931312506863864 absolute error = 5.773159728050814e-15 relative error = 2.989241620676655e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.931312506863858 y1[1] (numeric) = 1.931312506863867 absolute error = 8.215650382226158e-15 relative error = 4.25392076788601e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.198999999999979 y2[1] (analytic) = 1.931676262253631 y2[1] (numeric) = 1.931676262253637 absolute error = 5.773159728050814e-15 relative error = 2.988678714369786e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.931676262253631 y1[1] (numeric) = 1.931676262253639 absolute error = 8.215650382226158e-15 relative error = 4.253119708910849e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.199999999999979 y2[1] (analytic) = 1.932039085967219 y2[1] (numeric) = 1.932039085967224 absolute error = 5.773159728050814e-15 relative error = 2.988117460967748e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.932039085967219 y1[1] (numeric) = 1.932039085967227 absolute error = 8.215650382226158e-15 relative error = 4.252321002146411e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.200999999999979 y2[1] (analytic) = 1.932400977641798 y2[1] (numeric) = 1.932400977641804 absolute error = 5.773159728050814e-15 relative error = 2.987557859288645e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.932400977641798 y1[1] (numeric) = 1.932400977641806 absolute error = 8.215650382226158e-15 relative error = 4.251524645910763e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.201999999999978 y2[1] (analytic) = 1.932761936915478 y2[1] (numeric) = 1.932761936915483 absolute error = 5.551115123125783e-15 relative error = 2.872115296302289e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.932761936915478 y1[1] (numeric) = 1.932761936915486 absolute error = 7.993605777301127e-15 relative error = 4.135846026675296e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.202999999999978 y2[1] (analytic) = 1.933121963427298 y2[1] (numeric) = 1.933121963427304 absolute error = 5.551115123125783e-15 relative error = 2.87158039076025e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.933121963427298 y1[1] (numeric) = 1.933121963427306 absolute error = 7.993605777301127e-15 relative error = 4.13507576269476e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.203999999999978 y2[1] (analytic) = 1.933481056817233 y2[1] (numeric) = 1.933481056817238 absolute error = 5.551115123125783e-15 relative error = 2.871047070025944e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.933481056817233 y1[1] (numeric) = 1.933481056817241 absolute error = 7.993605777301127e-15 relative error = 4.13430778083736e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.204999999999978 y2[1] (analytic) = 1.933839216726189 y2[1] (numeric) = 1.933839216726194 absolute error = 5.551115123125783e-15 relative error = 2.870515332977531e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.933839216726189 y1[1] (numeric) = 1.933839216726197 absolute error = 7.993605777301127e-15 relative error = 4.133542079487644e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.205999999999978 y2[1] (analytic) = 1.934196442796005 y2[1] (numeric) = 1.934196442796011 absolute error = 5.551115123125783e-15 relative error = 2.869985178496807e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.934196442796005 y1[1] (numeric) = 1.934196442796013 absolute error = 7.993605777301127e-15 relative error = 4.132778657035402e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.206999999999978 y2[1] (analytic) = 1.934552734669457 y2[1] (numeric) = 1.934552734669463 absolute error = 5.551115123125783e-15 relative error = 2.869456605469202e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.934552734669457 y1[1] (numeric) = 1.934552734669465 absolute error = 7.993605777301127e-15 relative error = 4.132017511875651e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.207999999999978 y2[1] (analytic) = 1.934908091990252 y2[1] (numeric) = 1.934908091990258 absolute error = 5.551115123125783e-15 relative error = 2.868929612783773e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.934908091990252 y1[1] (numeric) = 1.93490809199026 absolute error = 7.993605777301127e-15 relative error = 4.131258642408633e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.208999999999978 y2[1] (analytic) = 1.935262514403034 y2[1] (numeric) = 1.935262514403039 absolute error = 5.329070518200751e-15 relative error = 2.753668031359869e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.935262514403034 y1[1] (numeric) = 1.935262514403041 absolute error = 7.771561172376096e-15 relative error = 4.015765879066476e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.209999999999978 y2[1] (analytic) = 1.935616001553378 y2[1] (numeric) = 1.935616001553383 absolute error = 5.329070518200751e-15 relative error = 2.753165149453221e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.935616001553378 y1[1] (numeric) = 1.935616001553386 absolute error = 7.771561172376096e-15 relative error = 4.01503250961928e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.210999999999977 y2[1] (analytic) = 1.935968553087799 y2[1] (numeric) = 1.935968553087804 absolute error = 5.329070518200751e-15 relative error = 2.752663781496388e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.935968553087799 y1[1] (numeric) = 1.935968553087807 absolute error = 7.771561172376096e-15 relative error = 4.014301348015566e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.211999999999977 y2[1] (analytic) = 1.936320168653745 y2[1] (numeric) = 1.93632016865375 absolute error = 5.551115123125783e-15 relative error = 2.86683742337161e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.936320168653745 y1[1] (numeric) = 1.936320168653753 absolute error = 7.993605777301127e-15 relative error = 4.128245889655118e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.212999999999977 y2[1] (analytic) = 1.9366708478996 y2[1] (numeric) = 1.936670847899606 absolute error = 5.551115123125783e-15 relative error = 2.866318315859506e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.9366708478996 y1[1] (numeric) = 1.936670847899608 absolute error = 7.993605777301127e-15 relative error = 4.127498374837688e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.213999999999977 y2[1] (analytic) = 1.937020590474686 y2[1] (numeric) = 1.937020590474691 absolute error = 5.329070518200751e-15 relative error = 2.751168750815814e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.937020590474686 y1[1] (numeric) = 1.937020590474693 absolute error = 7.771561172376096e-15 relative error = 4.012121094939729e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.214999999999977 y2[1] (analytic) = 1.937369396029258 y2[1] (numeric) = 1.937369396029264 absolute error = 5.551115123125783e-15 relative error = 2.865284821006819e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.937369396029258 y1[1] (numeric) = 1.937369396029266 absolute error = 7.993605777301127e-15 relative error = 4.126010142249819e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.215999999999977 y2[1] (analytic) = 1.937717264214514 y2[1] (numeric) = 1.937717264214519 absolute error = 5.551115123125783e-15 relative error = 2.864770431498437e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.937717264214514 y1[1] (numeric) = 1.937717264214522 absolute error = 7.993605777301127e-15 relative error = 4.125269421357749e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.216999999999977 y2[1] (analytic) = 1.938064194682583 y2[1] (numeric) = 1.938064194682588 absolute error = 5.551115123125783e-15 relative error = 2.864257612496137e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.938064194682583 y1[1] (numeric) = 1.938064194682591 absolute error = 7.993605777301127e-15 relative error = 4.124530961994437e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.217999999999977 y2[1] (analytic) = 1.938410187086535 y2[1] (numeric) = 1.938410187086541 absolute error = 5.551115123125783e-15 relative error = 2.863746362924974e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.938410187086535 y1[1] (numeric) = 1.938410187086543 absolute error = 7.993605777301127e-15 relative error = 4.123794762611962e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.218999999999977 y2[1] (analytic) = 1.938755241080379 y2[1] (numeric) = 1.938755241080384 absolute error = 5.551115123125783e-15 relative error = 2.863236681713574e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.938755241080379 y1[1] (numeric) = 1.938755241080387 absolute error = 7.993605777301127e-15 relative error = 4.123060821667546e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y2[1] (analytic) = 1.939099356319059 y2[1] (numeric) = 1.939099356319065 absolute error = 5.551115123125783e-15 relative error = 2.862728567794131e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.939099356319059 y1[1] (numeric) = 1.939099356319067 absolute error = 7.993605777301127e-15 relative error = 4.122329137623549e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.220999999999976 y2[1] (analytic) = 1.939442532458462 y2[1] (numeric) = 1.939442532458468 absolute error = 5.773159728050814e-15 relative error = 2.976710900906501e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.939442532458462 y1[1] (numeric) = 1.93944253245847 absolute error = 8.215650382226158e-15 relative error = 4.236088589751559e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.221999999999976 y2[1] (analytic) = 1.939784769155411 y2[1] (numeric) = 1.939784769155416 absolute error = 5.773159728050814e-15 relative error = 2.976185719080818e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.939784769155411 y1[1] (numeric) = 1.939784769155419 absolute error = 8.215650382226158e-15 relative error = 4.23534121561501e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.222999999999976 y2[1] (analytic) = 1.940126066067668 y2[1] (numeric) = 1.940126066067674 absolute error = 5.773159728050814e-15 relative error = 2.975662163929432e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.940126066067668 y1[1] (numeric) = 1.940126066067677 absolute error = 8.215650382226158e-15 relative error = 4.234596156361114e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.223999999999976 y2[1] (analytic) = 1.940466422853938 y2[1] (numeric) = 1.940466422853944 absolute error = 5.995204332975845e-15 relative error = 3.089568704908795e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.940466422853938 y1[1] (numeric) = 1.940466422853947 absolute error = 8.43769498715119e-15 relative error = 4.348281880982749e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.224999999999976 y2[1] (analytic) = 1.940805839173864 y2[1] (numeric) = 1.94080583917387 absolute error = 5.995204332975845e-15 relative error = 3.089028388088426e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.940805839173864 y1[1] (numeric) = 1.940805839173872 absolute error = 8.43769498715119e-15 relative error = 4.347521435087414e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.225999999999976 y2[1] (analytic) = 1.941144314688029 y2[1] (numeric) = 1.941144314688035 absolute error = 5.773159728050814e-15 relative error = 2.974101247582228e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.941144314688029 y1[1] (numeric) = 1.941144314688037 absolute error = 8.215650382226158e-15 relative error = 4.232374852328554e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.226999999999976 y2[1] (analytic) = 1.941481849057957 y2[1] (numeric) = 1.941481849057963 absolute error = 5.995204332975845e-15 relative error = 3.087952810830979e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.941481849057957 y1[1] (numeric) = 1.941481849057966 absolute error = 8.43769498715119e-15 relative error = 4.346007659688045e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.227999999999976 y2[1] (analytic) = 1.941818441946115 y2[1] (numeric) = 1.941818441946121 absolute error = 5.995204332975845e-15 relative error = 3.087417548144911e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.941818441946115 y1[1] (numeric) = 1.941818441946123 absolute error = 8.43769498715119e-15 relative error = 4.345254327018764e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.228999999999975 y2[1] (analytic) = 1.942154093015909 y2[1] (numeric) = 1.942154093015915 absolute error = 5.995204332975845e-15 relative error = 3.086883967927634e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.942154093015909 y1[1] (numeric) = 1.942154093015918 absolute error = 8.43769498715119e-15 relative error = 4.344503362268522e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y2[1] (analytic) = 1.942488801931689 y2[1] (numeric) = 1.942488801931695 absolute error = 5.995204332975845e-15 relative error = 3.086352069064168e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.942488801931689 y1[1] (numeric) = 1.942488801931698 absolute error = 8.43769498715119e-15 relative error = 4.343754763868088e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.230999999999975 y2[1] (analytic) = 1.942822568358746 y2[1] (numeric) = 1.942822568358752 absolute error = 6.217248937900877e-15 relative error = 3.200111548607897e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.942822568358746 y1[1] (numeric) = 1.942822568358754 absolute error = 8.659739592076221e-15 relative error = 4.457298228418142e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.231999999999975 y2[1] (analytic) = 1.943155391963312 y2[1] (numeric) = 1.943155391963319 absolute error = 6.217248937900877e-15 relative error = 3.19956343358579e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.943155391963312 y1[1] (numeric) = 1.943155391963321 absolute error = 8.659739592076221e-15 relative error = 4.456534782494492e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.232999999999975 y2[1] (analytic) = 1.943487272412566 y2[1] (numeric) = 1.943487272412572 absolute error = 6.217248937900877e-15 relative error = 3.199017058744633e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.943487272412566 y1[1] (numeric) = 1.943487272412574 absolute error = 8.659739592076221e-15 relative error = 4.455773760394311e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.233999999999975 y2[1] (analytic) = 1.943818209374625 y2[1] (numeric) = 1.943818209374632 absolute error = 6.217248937900877e-15 relative error = 3.198472422943872e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.943818209374625 y1[1] (numeric) = 1.943818209374634 absolute error = 8.659739592076221e-15 relative error = 4.455015160528964e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.234999999999975 y2[1] (analytic) = 1.944148202518554 y2[1] (numeric) = 1.944148202518561 absolute error = 6.217248937900877e-15 relative error = 3.197929525046865e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.944148202518554 y1[1] (numeric) = 1.944148202518563 absolute error = 8.659739592076221e-15 relative error = 4.454258981315276e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.235999999999975 y2[1] (analytic) = 1.944477251514359 y2[1] (numeric) = 1.944477251514366 absolute error = 6.217248937900877e-15 relative error = 3.197388363920885e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.944477251514359 y1[1] (numeric) = 1.944477251514368 absolute error = 8.659739592076221e-15 relative error = 4.453505221175518e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.236999999999975 y2[1] (analytic) = 1.944805356032991 y2[1] (numeric) = 1.944805356032998 absolute error = 6.439293542825908e-15 relative error = 3.311022114809865e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.944805356032991 y1[1] (numeric) = 1.944805356033 absolute error = 8.881784197001252e-15 relative error = 4.566927054910158e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.237999999999974 y2[1] (analytic) = 1.945132515746346 y2[1] (numeric) = 1.945132515746353 absolute error = 6.439293542825908e-15 relative error = 3.310465220594574e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.945132515746346 y1[1] (numeric) = 1.945132515746355 absolute error = 8.881784197001252e-15 relative error = 4.566158924958033e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.238999999999974 y2[1] (analytic) = 1.945458730327264 y2[1] (numeric) = 1.945458730327271 absolute error = 6.439293542825908e-15 relative error = 3.309910121682557e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.945458730327264 y1[1] (numeric) = 1.945458730327273 absolute error = 8.881784197001252e-15 relative error = 4.565393271286285e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y2[1] (analytic) = 1.945783999449531 y2[1] (numeric) = 1.945783999449537 absolute error = 6.661338147750939e-15 relative error = 3.423472569224259e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.945783999449531 y1[1] (numeric) = 1.94578399944954 absolute error = 9.103828801926284e-15 relative error = 4.678745844606488e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.240999999999974 y2[1] (analytic) = 1.946108322787876 y2[1] (numeric) = 1.946108322787883 absolute error = 6.439293542825908e-15 relative error = 3.308805305144252e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.946108322787876 y1[1] (numeric) = 1.946108322787885 absolute error = 8.881784197001252e-15 relative error = 4.563869386405865e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.241999999999974 y2[1] (analytic) = 1.946431700017978 y2[1] (numeric) = 1.946431700017985 absolute error = 6.661338147750939e-15 relative error = 3.422333364016529e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.946431700017978 y1[1] (numeric) = 1.946431700017987 absolute error = 9.103828801926284e-15 relative error = 4.677188930822591e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.242999999999974 y2[1] (analytic) = 1.946754130816459 y2[1] (numeric) = 1.946754130816465 absolute error = 6.439293542825908e-15 relative error = 3.307707655986995e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.946754130816459 y1[1] (numeric) = 1.946754130816468 absolute error = 8.881784197001252e-15 relative error = 4.562355387568269e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.243999999999974 y2[1] (analytic) = 1.947075614860887 y2[1] (numeric) = 1.947075614860894 absolute error = 6.661338147750939e-15 relative error = 3.421201568603113e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.947075614860887 y1[1] (numeric) = 1.947075614860897 absolute error = 9.103828801926284e-15 relative error = 4.675642143757588e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.244999999999974 y2[1] (analytic) = 1.94739615182978 y2[1] (numeric) = 1.947396151829787 absolute error = 6.661338147750939e-15 relative error = 3.420638446621106e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.94739615182978 y1[1] (numeric) = 1.947396151829789 absolute error = 9.103828801926284e-15 relative error = 4.674872543715512e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.245999999999974 y2[1] (analytic) = 1.9477157414026 y2[1] (numeric) = 1.947715741402607 absolute error = 6.439293542825908e-15 relative error = 3.30607460110622e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.9477157414026 y1[1] (numeric) = 1.947715741402609 absolute error = 8.881784197001252e-15 relative error = 4.560102898077545e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.246999999999973 y2[1] (analytic) = 1.948034383259758 y2[1] (numeric) = 1.948034383259764 absolute error = 6.439293542825908e-15 relative error = 3.305533823304837e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.948034383259758 y1[1] (numeric) = 1.948034383259767 absolute error = 8.881784197001252e-15 relative error = 4.559356997661845e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.247999999999973 y2[1] (analytic) = 1.948352077082611 y2[1] (numeric) = 1.948352077082617 absolute error = 6.661338147750939e-15 relative error = 3.418960169522018e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.948352077082611 y1[1] (numeric) = 1.94835207708262 absolute error = 9.103828801926284e-15 relative error = 4.672578898346758e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.248999999999973 y2[1] (analytic) = 1.948668822553466 y2[1] (numeric) = 1.948668822553473 absolute error = 6.661338147750939e-15 relative error = 3.418404436225423e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.948668822553466 y1[1] (numeric) = 1.948668822553475 absolute error = 9.103828801926284e-15 relative error = 4.671819396174745e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y2[1] (analytic) = 1.948984619355578 y2[1] (numeric) = 1.948984619355584 absolute error = 6.661338147750939e-15 relative error = 3.417850547201075e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.948984619355578 y1[1] (numeric) = 1.948984619355587 absolute error = 9.103828801926284e-15 relative error = 4.671062414508135e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.250999999999973 y2[1] (analytic) = 1.949299467173149 y2[1] (numeric) = 1.949299467173156 absolute error = 6.661338147750939e-15 relative error = 3.417298501297562e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.949299467173149 y1[1] (numeric) = 1.949299467173158 absolute error = 9.103828801926284e-15 relative error = 4.670307951773335e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.251999999999973 y2[1] (analytic) = 1.949613365691332 y2[1] (numeric) = 1.949613365691339 absolute error = 6.883382752675971e-15 relative error = 3.530639907279834e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.949613365691332 y1[1] (numeric) = 1.949613365691342 absolute error = 9.325873406851315e-15 relative error = 4.783447616314613e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.252999999999973 y2[1] (analytic) = 1.949926314596229 y2[1] (numeric) = 1.949926314596236 absolute error = 6.661338147750939e-15 relative error = 3.416199934267927e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.949926314596229 y1[1] (numeric) = 1.949926314596238 absolute error = 9.103828801926284e-15 relative error = 4.668806576832833e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.253999999999973 y2[1] (analytic) = 1.950238313574891 y2[1] (numeric) = 1.950238313574897 absolute error = 6.661338147750939e-15 relative error = 3.415653410859492e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.950238313574891 y1[1] (numeric) = 1.9502383135749 absolute error = 9.103828801926284e-15 relative error = 4.668059661507973e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.254999999999973 y2[1] (analytic) = 1.950549362315318 y2[1] (numeric) = 1.950549362315324 absolute error = 6.661338147750939e-15 relative error = 3.415108726007261e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.950549362315318 y1[1] (numeric) = 1.950549362315327 absolute error = 9.103828801926284e-15 relative error = 4.667315258876589e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.255999999999972 y2[1] (analytic) = 1.950859460506461 y2[1] (numeric) = 1.950859460506468 absolute error = 6.883382752675971e-15 relative error = 3.528384741199646e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.950859460506461 y1[1] (numeric) = 1.950859460506471 absolute error = 9.325873406851315e-15 relative error = 4.780392230012423e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.256999999999972 y2[1] (analytic) = 1.951168607838224 y2[1] (numeric) = 1.951168607838231 absolute error = 6.883382752675971e-15 relative error = 3.527825696366825e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.951168607838224 y1[1] (numeric) = 1.951168607838233 absolute error = 9.325873406851315e-15 relative error = 4.779634814432472e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.257999999999972 y2[1] (analytic) = 1.951476804001458 y2[1] (numeric) = 1.951476804001465 absolute error = 6.883382752675971e-15 relative error = 3.527268547882175e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.951476804001458 y1[1] (numeric) = 1.951476804001467 absolute error = 9.325873406851315e-15 relative error = 4.77887996809843e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.258999999999972 y2[1] (analytic) = 1.951784048687967 y2[1] (numeric) = 1.951784048687974 absolute error = 7.105427357601002e-15 relative error = 3.640478239576468e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.951784048687967 y1[1] (numeric) = 1.951784048687977 absolute error = 9.547918011776346e-15 relative error = 4.891892634430879e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y2[1] (analytic) = 1.952090341590507 y2[1] (numeric) = 1.952090341590514 absolute error = 6.883382752675971e-15 relative error = 3.526159935337617e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.952090341590507 y1[1] (numeric) = 1.952090341590517 absolute error = 9.325873406851315e-15 relative error = 4.77737797690903e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.260999999999972 y2[1] (analytic) = 1.952395682402785 y2[1] (numeric) = 1.952395682402792 absolute error = 7.105427357601002e-15 relative error = 3.639337774429237e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.952395682402785 y1[1] (numeric) = 1.952395682402794 absolute error = 9.547918011776346e-15 relative error = 4.890360134389287e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.261999999999972 y2[1] (analytic) = 1.95270007081946 y2[1] (numeric) = 1.952700070819467 absolute error = 7.105427357601002e-15 relative error = 3.638770471606106e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.95270007081946 y1[1] (numeric) = 1.952700070819469 absolute error = 9.547918011776346e-15 relative error = 4.889597821220706e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.262999999999972 y2[1] (analytic) = 1.953003506536143 y2[1] (numeric) = 1.95300350653615 absolute error = 7.105427357601002e-15 relative error = 3.63820512038057e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.953003506536143 y1[1] (numeric) = 1.953003506536152 absolute error = 9.547918011776346e-15 relative error = 4.888838130511391e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.263999999999972 y2[1] (analytic) = 1.953305989249399 y2[1] (numeric) = 1.953305989249406 absolute error = 6.883382752675971e-15 relative error = 3.52396541584407e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.953305989249399 y1[1] (numeric) = 1.953305989249408 absolute error = 9.325873406851315e-15 relative error = 4.774404756950031e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.264999999999971 y2[1] (analytic) = 1.953607518656745 y2[1] (numeric) = 1.953607518656752 absolute error = 6.883382752675971e-15 relative error = 3.523421509663734e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.953607518656745 y1[1] (numeric) = 1.953607518656755 absolute error = 9.325873406851315e-15 relative error = 4.773667851802478e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.265999999999971 y2[1] (analytic) = 1.953908094456652 y2[1] (numeric) = 1.953908094456659 absolute error = 6.883382752675971e-15 relative error = 3.522879490700979e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.953908094456652 y1[1] (numeric) = 1.953908094456662 absolute error = 9.325873406851315e-15 relative error = 4.772933503530358e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.266999999999971 y2[1] (analytic) = 1.954207716348544 y2[1] (numeric) = 1.954207716348551 absolute error = 6.883382752675971e-15 relative error = 3.522339357833279e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.954207716348544 y1[1] (numeric) = 1.954207716348554 absolute error = 9.325873406851315e-15 relative error = 4.772201710612829e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.267999999999971 y2[1] (analytic) = 1.9545063840328 y2[1] (numeric) = 1.954506384032807 absolute error = 6.883382752675971e-15 relative error = 3.521801109942272e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.9545063840328 y1[1] (numeric) = 1.954506384032809 absolute error = 9.325873406851315e-15 relative error = 4.771472471534691e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.268999999999971 y2[1] (analytic) = 1.954804097210751 y2[1] (numeric) = 1.954804097210757 absolute error = 6.883382752675971e-15 relative error = 3.52126474591375e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.954804097210751 y1[1] (numeric) = 1.95480409721076 absolute error = 9.325873406851315e-15 relative error = 4.770745784786371e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y2[1] (analytic) = 1.955100855584684 y2[1] (numeric) = 1.95510085558469 absolute error = 6.883382752675971e-15 relative error = 3.520730264637656e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.955100855584684 y1[1] (numeric) = 1.955100855584693 absolute error = 9.547918011776346e-15 relative error = 4.88359359288449e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.270999999999971 y2[1] (analytic) = 1.955396658857841 y2[1] (numeric) = 1.955396658857848 absolute error = 6.883382752675971e-15 relative error = 3.520197665008079e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.955396658857841 y1[1] (numeric) = 1.95539665885785 absolute error = 9.547918011776346e-15 relative error = 4.882854825656368e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.271999999999971 y2[1] (analytic) = 1.955691506734419 y2[1] (numeric) = 1.955691506734426 absolute error = 6.883382752675971e-15 relative error = 3.51966694592325e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.955691506734419 y1[1] (numeric) = 1.955691506734428 absolute error = 9.547918011776346e-15 relative error = 4.882118666925798e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.272999999999971 y2[1] (analytic) = 1.955985398919569 y2[1] (numeric) = 1.955985398919576 absolute error = 6.883382752675971e-15 relative error = 3.519138106285535e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.955985398919569 y1[1] (numeric) = 1.955985398919579 absolute error = 9.547918011776346e-15 relative error = 4.881385115170258e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27399999999997 y2[1] (analytic) = 1.956278335119401 y2[1] (numeric) = 1.956278335119408 absolute error = 6.883382752675971e-15 relative error = 3.518611145001432e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.956278335119401 y1[1] (numeric) = 1.956278335119411 absolute error = 9.547918011776346e-15 relative error = 4.880654168872954e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27499999999997 y2[1] (analytic) = 1.956570315040977 y2[1] (numeric) = 1.956570315040984 absolute error = 6.883382752675971e-15 relative error = 3.518086060981565e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.956570315040977 y1[1] (numeric) = 1.956570315040987 absolute error = 9.547918011776346e-15 relative error = 4.879925826522816e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27599999999997 y2[1] (analytic) = 1.956861338392318 y2[1] (numeric) = 1.956861338392325 absolute error = 6.883382752675971e-15 relative error = 3.517562853140679e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.956861338392318 y1[1] (numeric) = 1.956861338392328 absolute error = 9.547918011776346e-15 relative error = 4.87920008661449e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27699999999997 y2[1] (analytic) = 1.9571514048824 y2[1] (numeric) = 1.957151404882407 absolute error = 6.883382752675971e-15 relative error = 3.517041520397638e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.9571514048824 y1[1] (numeric) = 1.95715140488241 absolute error = 9.547918011776346e-15 relative error = 4.878476947648337e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27799999999997 y2[1] (analytic) = 1.957440514221157 y2[1] (numeric) = 1.957440514221164 absolute error = 7.105427357601002e-15 relative error = 3.629958257213333e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.957440514221157 y1[1] (numeric) = 1.957440514221167 absolute error = 9.769962616701378e-15 relative error = 4.991192603668333e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27899999999997 y2[1] (analytic) = 1.95772866611948 y2[1] (numeric) = 1.957728666119487 absolute error = 7.105427357601002e-15 relative error = 3.62942397512371e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.95772866611948 y1[1] (numeric) = 1.95772866611949 absolute error = 9.769962616701378e-15 relative error = 4.990457965795102e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y2[1] (analytic) = 1.958015860289216 y2[1] (numeric) = 1.958015860289223 absolute error = 6.883382752675971e-15 relative error = 3.515488762005857e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.958015860289216 y1[1] (numeric) = 1.958015860289226 absolute error = 9.547918011776346e-15 relative error = 4.876323121491995e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.28099999999997 y2[1] (analytic) = 1.958302096443172 y2[1] (numeric) = 1.958302096443179 absolute error = 7.105427357601002e-15 relative error = 3.628361206632245e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.958302096443172 y1[1] (numeric) = 1.958302096443182 absolute error = 9.769962616701378e-15 relative error = 4.988996659119337e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.28199999999997 y2[1] (analytic) = 1.958587374295111 y2[1] (numeric) = 1.958587374295119 absolute error = 7.105427357601002e-15 relative error = 3.627832718036498e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.958587374295111 y1[1] (numeric) = 1.958587374295121 absolute error = 9.769962616701378e-15 relative error = 4.988269987300184e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.282999999999969 y2[1] (analytic) = 1.958871693559756 y2[1] (numeric) = 1.958871693559763 absolute error = 7.105427357601002e-15 relative error = 3.627306158418511e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.958871693559756 y1[1] (numeric) = 1.958871693559766 absolute error = 9.769962616701378e-15 relative error = 4.987545967825452e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.283999999999969 y2[1] (analytic) = 1.959155053952788 y2[1] (numeric) = 1.959155053952795 absolute error = 7.105427357601002e-15 relative error = 3.626781526691879e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.959155053952788 y1[1] (numeric) = 1.959155053952797 absolute error = 9.769962616701378e-15 relative error = 4.986824599201334e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.284999999999969 y2[1] (analytic) = 1.959437455190845 y2[1] (numeric) = 1.959437455190852 absolute error = 7.105427357601002e-15 relative error = 3.626258821774411e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.959437455190845 y1[1] (numeric) = 1.959437455190854 absolute error = 9.769962616701378e-15 relative error = 4.986105879939815e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.285999999999969 y2[1] (analytic) = 1.959718896991527 y2[1] (numeric) = 1.959718896991534 absolute error = 7.105427357601002e-15 relative error = 3.625738042588117e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.959718896991527 y1[1] (numeric) = 1.959718896991536 absolute error = 9.769962616701378e-15 relative error = 4.985389808558661e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.286999999999969 y2[1] (analytic) = 1.959999379073392 y2[1] (numeric) = 1.959999379073399 absolute error = 7.105427357601002e-15 relative error = 3.625219188059213e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.959999379073392 y1[1] (numeric) = 1.959999379073401 absolute error = 9.769962616701378e-15 relative error = 4.984676383581418e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.287999999999969 y2[1] (analytic) = 1.960278901155957 y2[1] (numeric) = 1.960278901155964 absolute error = 7.105427357601002e-15 relative error = 3.624702257118107e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.960278901155957 y1[1] (numeric) = 1.960278901155967 absolute error = 9.769962616701378e-15 relative error = 4.983965603537398e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.288999999999969 y2[1] (analytic) = 1.960557462959702 y2[1] (numeric) = 1.960557462959709 absolute error = 6.883382752675971e-15 relative error = 3.510931397177545e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.960557462959702 y1[1] (numeric) = 1.960557462959712 absolute error = 9.547918011776346e-15 relative error = 4.870001615439821e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y2[1] (analytic) = 1.960835064206064 y2[1] (numeric) = 1.960835064206071 absolute error = 7.105427357601002e-15 relative error = 3.623674161741884e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.960835064206064 y1[1] (numeric) = 1.960835064206074 absolute error = 9.769962616701378e-15 relative error = 4.982551972395091e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.290999999999969 y2[1] (analytic) = 1.961111704617442 y2[1] (numeric) = 1.961111704617449 absolute error = 6.883382752675971e-15 relative error = 3.509939151588883e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.961111704617442 y1[1] (numeric) = 1.961111704617451 absolute error = 9.547918011776346e-15 relative error = 4.868625274784578e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.291999999999969 y2[1] (analytic) = 1.961387383917195 y2[1] (numeric) = 1.961387383917202 absolute error = 6.883382752675971e-15 relative error = 3.509445818361892e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.961387383917195 y1[1] (numeric) = 1.961387383917204 absolute error = 9.547918011776346e-15 relative error = 4.867940973856818e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.292999999999968 y2[1] (analytic) = 1.961662101829644 y2[1] (numeric) = 1.961662101829651 absolute error = 6.883382752675971e-15 relative error = 3.50895434349057e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.961662101829644 y1[1] (numeric) = 1.961662101829654 absolute error = 9.547918011776346e-15 relative error = 4.867259250648209e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.293999999999968 y2[1] (analytic) = 1.961935858080072 y2[1] (numeric) = 1.961935858080079 absolute error = 6.883382752675971e-15 relative error = 3.508464725963045e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.961935858080072 y1[1] (numeric) = 1.961935858080081 absolute error = 9.547918011776346e-15 relative error = 4.866580103755191e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.294999999999968 y2[1] (analytic) = 1.962208652394722 y2[1] (numeric) = 1.962208652394728 absolute error = 6.883382752675971e-15 relative error = 3.507976964771479e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.962208652394722 y1[1] (numeric) = 1.962208652394731 absolute error = 9.547918011776346e-15 relative error = 4.865903531779794e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.295999999999968 y2[1] (analytic) = 1.962480484500799 y2[1] (numeric) = 1.962480484500806 absolute error = 6.883382752675971e-15 relative error = 3.507491058912065e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.962480484500799 y1[1] (numeric) = 1.962480484500809 absolute error = 9.547918011776346e-15 relative error = 4.865229533329638e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.296999999999968 y2[1] (analytic) = 1.962751354126472 y2[1] (numeric) = 1.962751354126479 absolute error = 6.883382752675971e-15 relative error = 3.507007007385018e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.962751354126472 y1[1] (numeric) = 1.962751354126482 absolute error = 9.547918011776346e-15 relative error = 4.864558107017928e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.297999999999968 y2[1] (analytic) = 1.963021261000872 y2[1] (numeric) = 1.963021261000879 absolute error = 6.883382752675971e-15 relative error = 3.506524809194572e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.963021261000872 y1[1] (numeric) = 1.963021261000881 absolute error = 9.547918011776346e-15 relative error = 4.863889251463439e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.298999999999968 y2[1] (analytic) = 1.96329020485409 y2[1] (numeric) = 1.963290204854097 absolute error = 6.883382752675971e-15 relative error = 3.506044463348981e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.96329020485409 y1[1] (numeric) = 1.9632902048541 absolute error = 9.547918011776346e-15 relative error = 4.863222965290522e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.299999999999968 y2[1] (analytic) = 1.963558185417184 y2[1] (numeric) = 1.963558185417191 absolute error = 6.883382752675971e-15 relative error = 3.505565968860507e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.963558185417184 y1[1] (numeric) = 1.963558185417194 absolute error = 9.547918011776346e-15 relative error = 4.86255924712909e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.300999999999968 y2[1] (analytic) = 1.963825202422173 y2[1] (numeric) = 1.96382520242218 absolute error = 7.105427357601002e-15 relative error = 3.618156722317852e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.963825202422173 y1[1] (numeric) = 1.963825202422183 absolute error = 9.769962616701378e-15 relative error = 4.974965493187047e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.301999999999967 y2[1] (analytic) = 1.96409125560204 y2[1] (numeric) = 1.964091255602047 absolute error = 7.105427357601002e-15 relative error = 3.617666611637666e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.96409125560204 y1[1] (numeric) = 1.96409125560205 absolute error = 9.769962616701378e-15 relative error = 4.974291591001791e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.302999999999967 y2[1] (analytic) = 1.964356344690732 y2[1] (numeric) = 1.964356344690739 absolute error = 7.105427357601002e-15 relative error = 3.617178409001795e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.964356344690732 y1[1] (numeric) = 1.964356344690741 absolute error = 9.769962616701378e-15 relative error = 4.973620312377469e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.303999999999967 y2[1] (analytic) = 1.964620469423159 y2[1] (numeric) = 1.964620469423166 absolute error = 6.883382752675971e-15 relative error = 3.503670484863182e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.964620469423159 y1[1] (numeric) = 1.964620469423168 absolute error = 9.547918011776346e-15 relative error = 4.859930027390865e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.304999999999967 y2[1] (analytic) = 1.964883629535197 y2[1] (numeric) = 1.964883629535204 absolute error = 7.105427357601002e-15 relative error = 3.616207723854784e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.964883629535197 y1[1] (numeric) = 1.964883629535207 absolute error = 9.769962616701378e-15 relative error = 4.972285620300328e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.305999999999967 y2[1] (analytic) = 1.965145824763686 y2[1] (numeric) = 1.965145824763693 absolute error = 6.883382752675971e-15 relative error = 3.50273382562015e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.965145824763686 y1[1] (numeric) = 1.965145824763696 absolute error = 9.769962616701378e-15 relative error = 4.97162220410602e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.306999999999967 y2[1] (analytic) = 1.965407054846431 y2[1] (numeric) = 1.965407054846438 absolute error = 6.883382752675971e-15 relative error = 3.502268263310885e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.965407054846431 y1[1] (numeric) = 1.96540705484644 absolute error = 9.769962616701378e-15 relative error = 4.970961405989644e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.307999999999967 y2[1] (analytic) = 1.965667319522201 y2[1] (numeric) = 1.965667319522208 absolute error = 6.883382752675971e-15 relative error = 3.501804544600726e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.965667319522201 y1[1] (numeric) = 1.965667319522211 absolute error = 9.769962616701378e-15 relative error = 4.970303224594579e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.308999999999967 y2[1] (analytic) = 1.965926618530732 y2[1] (numeric) = 1.965926618530739 absolute error = 6.883382752675971e-15 relative error = 3.501342668537842e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.965926618530732 y1[1] (numeric) = 1.965926618530742 absolute error = 9.769962616701378e-15 relative error = 4.96964765856984e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.309999999999967 y2[1] (analytic) = 1.966184951612725 y2[1] (numeric) = 1.966184951612732 absolute error = 6.883382752675971e-15 relative error = 3.500882634174373e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.966184951612725 y1[1] (numeric) = 1.966184951612735 absolute error = 9.769962616701378e-15 relative error = 4.968994706570078e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.310999999999966 y2[1] (analytic) = 1.966442318509847 y2[1] (numeric) = 1.966442318509855 absolute error = 7.105427357601002e-15 relative error = 3.613341358004049e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.966442318509847 y1[1] (numeric) = 1.966442318509857 absolute error = 9.992007221626409e-15 relative error = 5.081261284693193e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.311999999999966 y2[1] (analytic) = 1.966698718964732 y2[1] (numeric) = 1.966698718964739 absolute error = 7.105427357601002e-15 relative error = 3.612870283121602e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.966698718964732 y1[1] (numeric) = 1.966698718964742 absolute error = 9.992007221626409e-15 relative error = 5.080598835639753e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.312999999999966 y2[1] (analytic) = 1.966954152720978 y2[1] (numeric) = 1.966954152720984 absolute error = 6.883382752675971e-15 relative error = 3.499513571861282e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.966954152720978 y1[1] (numeric) = 1.966954152720987 absolute error = 9.769962616701378e-15 relative error = 4.967051521351498e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.313999999999966 y2[1] (analytic) = 1.967208619523151 y2[1] (numeric) = 1.967208619523158 absolute error = 6.883382752675971e-15 relative error = 3.499060894896086e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.967208619523151 y1[1] (numeric) = 1.967208619523161 absolute error = 9.769962616701378e-15 relative error = 4.966409012110573e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.314999999999966 y2[1] (analytic) = 1.967462119116786 y2[1] (numeric) = 1.967462119116793 absolute error = 7.105427357601002e-15 relative error = 3.611468443819749e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.967462119116786 y1[1] (numeric) = 1.967462119116796 absolute error = 9.992007221626409e-15 relative error = 5.078627499121521e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.315999999999966 y2[1] (analytic) = 1.967714651248382 y2[1] (numeric) = 1.967714651248389 absolute error = 7.105427357601002e-15 relative error = 3.611004955974226e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.967714651248382 y1[1] (numeric) = 1.967714651248392 absolute error = 9.992007221626409e-15 relative error = 5.077975719338755e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.316999999999966 y2[1] (analytic) = 1.967966215665407 y2[1] (numeric) = 1.967966215665415 absolute error = 7.105427357601002e-15 relative error = 3.61054336250306e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.967966215665407 y1[1] (numeric) = 1.967966215665417 absolute error = 9.992007221626409e-15 relative error = 5.077326603519928e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.317999999999966 y2[1] (analytic) = 1.968216812116298 y2[1] (numeric) = 1.968216812116305 absolute error = 7.105427357601002e-15 relative error = 3.610083662460433e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.968216812116298 y1[1] (numeric) = 1.968216812116308 absolute error = 9.992007221626409e-15 relative error = 5.076680150334983e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.318999999999966 y2[1] (analytic) = 1.968466440350457 y2[1] (numeric) = 1.968466440350464 absolute error = 6.883382752675971e-15 relative error = 3.496825046938815e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.968466440350457 y1[1] (numeric) = 1.968466440350467 absolute error = 9.769962616701378e-15 relative error = 4.963235550493802e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y2[1] (analytic) = 1.968715100118257 y2[1] (numeric) = 1.968715100118264 absolute error = 6.883382752675971e-15 relative error = 3.496383378307252e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.968715100118257 y1[1] (numeric) = 1.968715100118267 absolute error = 9.769962616701378e-15 relative error = 4.962608665984486e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.320999999999965 y2[1] (analytic) = 1.968962791171037 y2[1] (numeric) = 1.968962791171044 absolute error = 6.883382752675971e-15 relative error = 3.495943541209375e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.968962791171037 y1[1] (numeric) = 1.968962791171047 absolute error = 9.769962616701378e-15 relative error = 4.961984381071372e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.321999999999965 y2[1] (analytic) = 1.969209513261106 y2[1] (numeric) = 1.969209513261113 absolute error = 6.883382752675971e-15 relative error = 3.495505534744627e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.969209513261106 y1[1] (numeric) = 1.969209513261116 absolute error = 9.769962616701378e-15 relative error = 4.961362694476245e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.322999999999965 y2[1] (analytic) = 1.969455266141744 y2[1] (numeric) = 1.969455266141751 absolute error = 6.883382752675971e-15 relative error = 3.495069358016363e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.969455266141744 y1[1] (numeric) = 1.969455266141753 absolute error = 9.769962616701378e-15 relative error = 4.960743604926451e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.323999999999965 y2[1] (analytic) = 1.969700049567195 y2[1] (numeric) = 1.969700049567202 absolute error = 6.883382752675971e-15 relative error = 3.494635010131854e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.969700049567195 y1[1] (numeric) = 1.969700049567205 absolute error = 9.769962616701378e-15 relative error = 4.960127111154891e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.324999999999965 y2[1] (analytic) = 1.969943863292679 y2[1] (numeric) = 1.969943863292685 absolute error = 6.661338147750939e-15 relative error = 3.381486280840913e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.969943863292679 y1[1] (numeric) = 1.969943863292688 absolute error = 9.547918011776346e-15 relative error = 4.846797002538641e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.325999999999965 y2[1] (analytic) = 1.970186707074379 y2[1] (numeric) = 1.970186707074386 absolute error = 6.661338147750939e-15 relative error = 3.381069481299397e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.970186707074379 y1[1] (numeric) = 1.970186707074389 absolute error = 9.547918011776346e-15 relative error = 4.846199589862469e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.326999999999965 y2[1] (analytic) = 1.970428580669454 y2[1] (numeric) = 1.97042858066946 absolute error = 6.661338147750939e-15 relative error = 3.380654449037553e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.970428580669454 y1[1] (numeric) = 1.970428580669463 absolute error = 9.547918011776346e-15 relative error = 4.84560471028716e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.327999999999965 y2[1] (analytic) = 1.970669483836028 y2[1] (numeric) = 1.970669483836035 absolute error = 6.883382752675971e-15 relative error = 3.492915889313436e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.970669483836028 y1[1] (numeric) = 1.970669483836038 absolute error = 9.769962616701378e-15 relative error = 4.957687068702942e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.328999999999964 y2[1] (analytic) = 1.9709094163332 y2[1] (numeric) = 1.970909416333207 absolute error = 6.661338147750939e-15 relative error = 3.37982968296133e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.9709094163332 y1[1] (numeric) = 1.970909416333209 absolute error = 9.547918011776346e-15 relative error = 4.844422545577906e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y2[1] (analytic) = 1.971148377921036 y2[1] (numeric) = 1.971148377921043 absolute error = 6.661338147750939e-15 relative error = 3.379419947460592e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.971148377921036 y1[1] (numeric) = 1.971148377921046 absolute error = 9.547918011776346e-15 relative error = 4.843835258026849e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.330999999999964 y2[1] (analytic) = 1.971386368360575 y2[1] (numeric) = 1.971386368360582 absolute error = 6.883382752675971e-15 relative error = 3.491645708395692e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.971386368360575 y1[1] (numeric) = 1.971386368360585 absolute error = 9.769962616701378e-15 relative error = 4.955884231271304e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.331999999999964 y2[1] (analytic) = 1.971623387413827 y2[1] (numeric) = 1.971623387413834 absolute error = 6.883382752675971e-15 relative error = 3.491225959591037e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.971623387413827 y1[1] (numeric) = 1.971623387413837 absolute error = 9.769962616701378e-15 relative error = 4.955288458774376e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.332999999999964 y2[1] (analytic) = 1.971859434843773 y2[1] (numeric) = 1.971859434843779 absolute error = 6.883382752675971e-15 relative error = 3.490808031770951e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.971859434843773 y1[1] (numeric) = 1.971859434843782 absolute error = 9.769962616701378e-15 relative error = 4.954695270900706e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.333999999999964 y2[1] (analytic) = 1.972094510414364 y2[1] (numeric) = 1.972094510414371 absolute error = 7.105427357601002e-15 relative error = 3.60298521195521e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.972094510414364 y1[1] (numeric) = 1.972094510414374 absolute error = 9.992007221626409e-15 relative error = 5.066697954312014e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.334999999999964 y2[1] (analytic) = 1.972328613890526 y2[1] (numeric) = 1.972328613890533 absolute error = 7.105427357601002e-15 relative error = 3.602557559404443e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.972328613890526 y1[1] (numeric) = 1.972328613890536 absolute error = 9.992007221626409e-15 relative error = 5.066096567912499e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.335999999999964 y2[1] (analytic) = 1.972561745038155 y2[1] (numeric) = 1.972561745038162 absolute error = 6.883382752675971e-15 relative error = 3.489565165699198e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.972561745038155 y1[1] (numeric) = 1.972561745038165 absolute error = 9.769962616701378e-15 relative error = 4.952931202927895e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.336999999999964 y2[1] (analytic) = 1.972793903624121 y2[1] (numeric) = 1.972793903624128 absolute error = 6.883382752675971e-15 relative error = 3.489154513317815e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.972793903624121 y1[1] (numeric) = 1.97279390362413 absolute error = 9.769962616701378e-15 relative error = 4.95234834148335e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.337999999999963 y2[1] (analytic) = 1.973025089416263 y2[1] (numeric) = 1.97302508941627 absolute error = 6.883382752675971e-15 relative error = 3.488745677690535e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.973025089416263 y1[1] (numeric) = 1.973025089416273 absolute error = 9.769962616701378e-15 relative error = 4.951768058657534e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.338999999999963 y2[1] (analytic) = 1.973255302183398 y2[1] (numeric) = 1.973255302183405 absolute error = 6.883382752675971e-15 relative error = 3.488338657982847e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.973255302183398 y1[1] (numeric) = 1.973255302183407 absolute error = 9.769962616701378e-15 relative error = 4.951190353265976e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y2[1] (analytic) = 1.973484541695311 y2[1] (numeric) = 1.973484541695318 absolute error = 6.661338147750939e-15 relative error = 3.375419470997504e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.973484541695311 y1[1] (numeric) = 1.973484541695321 absolute error = 9.547918011776346e-15 relative error = 4.83810124176309e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.340999999999963 y2[1] (analytic) = 1.973712807722764 y2[1] (numeric) = 1.97371280772277 absolute error = 6.661338147750939e-15 relative error = 3.375029093233011e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.973712807722764 y1[1] (numeric) = 1.973712807722773 absolute error = 9.547918011776346e-15 relative error = 4.837541700300649e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.341999999999963 y2[1] (analytic) = 1.97394010003749 y2[1] (numeric) = 1.973940100037497 absolute error = 6.661338147750939e-15 relative error = 3.374640470409626e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.97394010003749 y1[1] (numeric) = 1.973940100037499 absolute error = 9.547918011776346e-15 relative error = 4.836984674253798e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.342999999999963 y2[1] (analytic) = 1.974166418412197 y2[1] (numeric) = 1.974166418412204 absolute error = 6.883382752675971e-15 relative error = 3.486728721792466e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.974166418412197 y1[1] (numeric) = 1.974166418412207 absolute error = 9.769962616701378e-15 relative error = 4.948905282544145e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.343999999999963 y2[1] (analytic) = 1.974391762620567 y2[1] (numeric) = 1.974391762620574 absolute error = 6.661338147750939e-15 relative error = 3.373868486419074e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.974391762620567 y1[1] (numeric) = 1.974391762620577 absolute error = 9.547918011776346e-15 relative error = 4.835878163867338e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.344999999999963 y2[1] (analytic) = 1.974616132437256 y2[1] (numeric) = 1.974616132437262 absolute error = 6.661338147750939e-15 relative error = 3.37348512367763e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.974616132437256 y1[1] (numeric) = 1.974616132437265 absolute error = 9.547918011776346e-15 relative error = 4.83532867727127e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.345999999999963 y2[1] (analytic) = 1.974839527637893 y2[1] (numeric) = 1.9748395276379 absolute error = 6.661338147750939e-15 relative error = 3.373103512728738e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.974839527637893 y1[1] (numeric) = 1.974839527637903 absolute error = 9.547918011776346e-15 relative error = 4.834781701577858e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.346999999999962 y2[1] (analytic) = 1.975061947999084 y2[1] (numeric) = 1.975061947999091 absolute error = 6.661338147750939e-15 relative error = 3.372723652794524e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.975061947999084 y1[1] (numeric) = 1.975061947999094 absolute error = 9.547918011776346e-15 relative error = 4.834237235672151e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.347999999999962 y2[1] (analytic) = 1.975283393298408 y2[1] (numeric) = 1.975283393298415 absolute error = 6.661338147750939e-15 relative error = 3.372345543100813e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.975283393298408 y1[1] (numeric) = 1.975283393298418 absolute error = 9.547918011776346e-15 relative error = 4.8336952784445e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.348999999999962 y2[1] (analytic) = 1.975503863314421 y2[1] (numeric) = 1.975503863314427 absolute error = 6.661338147750939e-15 relative error = 3.371969182877129e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.975503863314421 y1[1] (numeric) = 1.97550386331443 absolute error = 9.547918011776346e-15 relative error = 4.833155828790553e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y2[1] (analytic) = 1.975723357826651 y2[1] (numeric) = 1.975723357826658 absolute error = 6.661338147750939e-15 relative error = 3.371594571356686e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.975723357826651 y1[1] (numeric) = 1.97572335782666 absolute error = 9.547918011776346e-15 relative error = 4.83261888561125e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.350999999999962 y2[1] (analytic) = 1.975941876615604 y2[1] (numeric) = 1.975941876615611 absolute error = 6.661338147750939e-15 relative error = 3.371221707776388e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.975941876615604 y1[1] (numeric) = 1.975941876615614 absolute error = 9.547918011776346e-15 relative error = 4.832084447812823e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.351999999999962 y2[1] (analytic) = 1.976159419462763 y2[1] (numeric) = 1.97615941946277 absolute error = 6.883382752675971e-15 relative error = 3.483212277756054e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.976159419462763 y1[1] (numeric) = 1.976159419462773 absolute error = 9.769962616701378e-15 relative error = 4.943914200686012e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.352999999999962 y2[1] (analytic) = 1.976375986150583 y2[1] (numeric) = 1.97637598615059 absolute error = 6.661338147750939e-15 relative error = 3.370481221402273e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.976375986150583 y1[1] (numeric) = 1.976375986150593 absolute error = 9.547918011776346e-15 relative error = 4.831023084009925e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.353999999999962 y2[1] (analytic) = 1.976591576462499 y2[1] (numeric) = 1.976591576462505 absolute error = 6.661338147750939e-15 relative error = 3.370113597100682e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.976591576462499 y1[1] (numeric) = 1.976591576462508 absolute error = 9.547918011776346e-15 relative error = 4.830496155844311e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.354999999999962 y2[1] (analytic) = 1.976806190182919 y2[1] (numeric) = 1.976806190182926 absolute error = 6.661338147750939e-15 relative error = 3.369747717723683e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.976806190182919 y1[1] (numeric) = 1.976806190182929 absolute error = 9.547918011776346e-15 relative error = 4.829971728737278e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.355999999999961 y2[1] (analytic) = 1.977019827097231 y2[1] (numeric) = 1.977019827097237 absolute error = 6.439293542825908e-15 relative error = 3.257070796442357e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.977019827097231 y1[1] (numeric) = 1.97701982709724 absolute error = 9.325873406851315e-15 relative error = 4.717137015537207e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.356999999999961 y2[1] (analytic) = 1.977232486991797 y2[1] (numeric) = 1.977232486991803 absolute error = 6.661338147750939e-15 relative error = 3.369021190768335e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.977232486991797 y1[1] (numeric) = 1.977232486991806 absolute error = 9.547918011776346e-15 relative error = 4.828930373434613e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.357999999999961 y2[1] (analytic) = 1.977444169653957 y2[1] (numeric) = 1.977444169653964 absolute error = 6.439293542825908e-15 relative error = 3.256371856987878e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.977444169653957 y1[1] (numeric) = 1.977444169653966 absolute error = 9.325873406851315e-15 relative error = 4.716124758396236e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.358999999999961 y2[1] (analytic) = 1.977654874872029 y2[1] (numeric) = 1.977654874872036 absolute error = 6.439293542825908e-15 relative error = 3.256024913468577e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.977654874872029 y1[1] (numeric) = 1.977654874872039 absolute error = 9.325873406851315e-15 relative error = 4.715622288471731e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y2[1] (analytic) = 1.977864602435308 y2[1] (numeric) = 1.977864602435315 absolute error = 6.661338147750939e-15 relative error = 3.367944468771501e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.977864602435308 y1[1] (numeric) = 1.977864602435317 absolute error = 9.547918011776346e-15 relative error = 4.827387071905818e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.360999999999961 y2[1] (analytic) = 1.978073352134066 y2[1] (numeric) = 1.978073352134072 absolute error = 6.439293542825908e-15 relative error = 3.255336075317332e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.978073352134066 y1[1] (numeric) = 1.978073352134075 absolute error = 9.547918011776346e-15 relative error = 4.826877628918802e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.361999999999961 y2[1] (analytic) = 1.978281123759553 y2[1] (numeric) = 1.978281123759559 absolute error = 6.439293542825908e-15 relative error = 3.254994179284582e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.978281123759553 y1[1] (numeric) = 1.978281123759563 absolute error = 9.547918011776346e-15 relative error = 4.826370679628864e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.362999999999961 y2[1] (analytic) = 1.978487917103998 y2[1] (numeric) = 1.978487917104004 absolute error = 6.217248937900877e-15 relative error = 3.142424517305794e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.978487917103998 y1[1] (numeric) = 1.978487917104008 absolute error = 9.325873406851315e-15 relative error = 4.713636775958691e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.363999999999961 y2[1] (analytic) = 1.978693731960607 y2[1] (numeric) = 1.978693731960614 absolute error = 6.217248937900877e-15 relative error = 3.142097656386901e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.978693731960607 y1[1] (numeric) = 1.978693731960617 absolute error = 9.325873406851315e-15 relative error = 4.713146484580353e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36499999999996 y2[1] (analytic) = 1.978898568123566 y2[1] (numeric) = 1.978898568123573 absolute error = 6.217248937900877e-15 relative error = 3.141772417267553e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.978898568123566 y1[1] (numeric) = 1.978898568123576 absolute error = 9.325873406851315e-15 relative error = 4.712658625901329e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36599999999996 y2[1] (analytic) = 1.979102425388039 y2[1] (numeric) = 1.979102425388045 absolute error = 6.217248937900877e-15 relative error = 3.141448799286814e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.979102425388039 y1[1] (numeric) = 1.979102425388048 absolute error = 9.325873406851315e-15 relative error = 4.712173198930221e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36699999999996 y2[1] (analytic) = 1.979305303550168 y2[1] (numeric) = 1.979305303550174 absolute error = 5.995204332975845e-15 relative error = 3.02894370172332e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.979305303550168 y1[1] (numeric) = 1.979305303550177 absolute error = 9.103828801926284e-15 relative error = 4.599507102616894e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36799999999996 y2[1] (analytic) = 1.979507202407074 y2[1] (numeric) = 1.979507202407081 absolute error = 6.217248937900877e-15 relative error = 3.140806424114407e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.979507202407074 y1[1] (numeric) = 1.979507202407084 absolute error = 9.325873406851315e-15 relative error = 4.71120963617161e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36899999999996 y2[1] (analytic) = 1.97970812175686 y2[1] (numeric) = 1.979708121756866 absolute error = 5.995204332975845e-15 relative error = 3.028327391845772e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.97970812175686 y1[1] (numeric) = 1.979708121756869 absolute error = 9.103828801926284e-15 relative error = 4.598571224654691e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y2[1] (analytic) = 1.979908061398606 y2[1] (numeric) = 1.979908061398612 absolute error = 5.995204332975845e-15 relative error = 3.028021578305427e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.979908061398606 y1[1] (numeric) = 1.979908061398615 absolute error = 9.103828801926284e-15 relative error = 4.598106841130463e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.37099999999996 y2[1] (analytic) = 1.980107021132372 y2[1] (numeric) = 1.980107021132378 absolute error = 5.995204332975845e-15 relative error = 3.0277173248683e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.980107021132372 y1[1] (numeric) = 1.980107021132381 absolute error = 9.103828801926284e-15 relative error = 4.597644826651863e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.37199999999996 y2[1] (analytic) = 1.980305000759199 y2[1] (numeric) = 1.980305000759205 absolute error = 5.995204332975845e-15 relative error = 3.02741463091667e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.980305000759199 y1[1] (numeric) = 1.980305000759208 absolute error = 9.103828801926284e-15 relative error = 4.597185180280868e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.37299999999996 y2[1] (analytic) = 1.980502000081107 y2[1] (numeric) = 1.980502000081112 absolute error = 5.773159728050814e-15 relative error = 2.914998181175474e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.980502000081107 y1[1] (numeric) = 1.980502000081116 absolute error = 8.881784197001252e-15 relative error = 4.484612586423806e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.373999999999959 y2[1] (analytic) = 1.980698018901096 y2[1] (numeric) = 1.980698018901102 absolute error = 5.773159728050814e-15 relative error = 2.914709699792501e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.980698018901096 y1[1] (numeric) = 1.980698018901105 absolute error = 8.881784197001252e-15 relative error = 4.484168768911539e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.374999999999959 y2[1] (analytic) = 1.980893057023148 y2[1] (numeric) = 1.980893057023154 absolute error = 5.773159728050814e-15 relative error = 2.914422718370582e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.980893057023148 y1[1] (numeric) = 1.980893057023157 absolute error = 8.881784197001252e-15 relative error = 4.483727259031664e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.375999999999959 y2[1] (analytic) = 1.981087114252225 y2[1] (numeric) = 1.98108711425223 absolute error = 5.551115123125783e-15 relative error = 2.802055034930198e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.981087114252225 y1[1] (numeric) = 1.981087114252233 absolute error = 8.881784197001252e-15 relative error = 4.483288055888317e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.376999999999959 y2[1] (analytic) = 1.981280190394269 y2[1] (numeric) = 1.981280190394274 absolute error = 5.773159728050814e-15 relative error = 2.913853253083791e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.981280190394269 y1[1] (numeric) = 1.981280190394278 absolute error = 9.103828801926284e-15 relative error = 4.594922437555209e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.377999999999959 y2[1] (analytic) = 1.981472285256204 y2[1] (numeric) = 1.98147228525621 absolute error = 5.773159728050814e-15 relative error = 2.91357076806368e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.981472285256204 y1[1] (numeric) = 1.981472285256213 absolute error = 9.103828801926284e-15 relative error = 4.59447698040811e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.378999999999959 y2[1] (analytic) = 1.981663398645937 y2[1] (numeric) = 1.981663398645942 absolute error = 5.551115123125783e-15 relative error = 2.80124017374436e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.981663398645937 y1[1] (numeric) = 1.981663398645946 absolute error = 8.881784197001252e-15 relative error = 4.481984277990976e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y2[1] (analytic) = 1.981853530372352 y2[1] (numeric) = 1.981853530372357 absolute error = 5.551115123125783e-15 relative error = 2.800971433082058e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.981853530372352 y1[1] (numeric) = 1.981853530372361 absolute error = 8.881784197001252e-15 relative error = 4.481554292931293e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.380999999999959 y2[1] (analytic) = 1.982042680245319 y2[1] (numeric) = 1.982042680245324 absolute error = 5.551115123125783e-15 relative error = 2.800704131375576e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.982042680245319 y1[1] (numeric) = 1.982042680245327 absolute error = 8.881784197001252e-15 relative error = 4.481126610200921e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.381999999999959 y2[1] (analytic) = 1.982230848075687 y2[1] (numeric) = 1.982230848075692 absolute error = 5.329070518200751e-15 relative error = 2.688420737359684e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.982230848075687 y1[1] (numeric) = 1.982230848075696 absolute error = 8.659739592076221e-15 relative error = 4.368683698209487e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.382999999999958 y2[1] (analytic) = 1.982418033675289 y2[1] (numeric) = 1.982418033675295 absolute error = 5.329070518200751e-15 relative error = 2.688166888958814e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.982418033675289 y1[1] (numeric) = 1.982418033675298 absolute error = 8.659739592076221e-15 relative error = 4.368271194558073e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.383999999999958 y2[1] (analytic) = 1.98260423685694 y2[1] (numeric) = 1.982604236856945 absolute error = 5.329070518200751e-15 relative error = 2.687914420403453e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.98260423685694 y1[1] (numeric) = 1.982604236856948 absolute error = 8.659739592076221e-15 relative error = 4.367860933155611e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.384999999999958 y2[1] (analytic) = 1.982789457434435 y2[1] (numeric) = 1.98278945743444 absolute error = 5.329070518200751e-15 relative error = 2.687663331181983e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.982789457434435 y1[1] (numeric) = 1.982789457434444 absolute error = 8.659739592076221e-15 relative error = 4.367452913170723e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.385999999999958 y2[1] (analytic) = 1.982973695222555 y2[1] (numeric) = 1.98297369522256 absolute error = 5.329070518200751e-15 relative error = 2.687413620785653e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.982973695222555 y1[1] (numeric) = 1.982973695222563 absolute error = 8.659739592076221e-15 relative error = 4.367047133776686e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.386999999999958 y2[1] (analytic) = 1.983156950037061 y2[1] (numeric) = 1.983156950037066 absolute error = 5.329070518200751e-15 relative error = 2.687165288708573e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.983156950037061 y1[1] (numeric) = 1.98315695003707 absolute error = 8.659739592076221e-15 relative error = 4.36664359415143e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.387999999999958 y2[1] (analytic) = 1.9833392216947 y2[1] (numeric) = 1.983339221694705 absolute error = 5.10702591327572e-15 relative error = 2.574963403845728e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.9833392216947 y1[1] (numeric) = 1.983339221694708 absolute error = 8.43769498715119e-15 relative error = 4.25428736287555e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.388999999999958 y2[1] (analytic) = 1.983520510013198 y2[1] (numeric) = 1.983520510013203 absolute error = 5.10702591327572e-15 relative error = 2.574728059273629e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.983520510013198 y1[1] (numeric) = 1.983520510013207 absolute error = 8.43769498715119e-15 relative error = 4.253898532712952e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.389999999999958 y2[1] (analytic) = 1.983700814811269 y2[1] (numeric) = 1.983700814811274 absolute error = 5.10702591327572e-15 relative error = 2.57449403415283e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.983700814811269 y1[1] (numeric) = 1.983700814811277 absolute error = 8.43769498715119e-15 relative error = 4.253511882513372e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.390999999999958 y2[1] (analytic) = 1.983880135908607 y2[1] (numeric) = 1.983880135908612 absolute error = 5.10702591327572e-15 relative error = 2.574261328009481e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.983880135908607 y1[1] (numeric) = 1.983880135908615 absolute error = 8.43769498715119e-15 relative error = 4.253127411493926e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.391999999999957 y2[1] (analytic) = 1.984058473125891 y2[1] (numeric) = 1.984058473125896 absolute error = 5.10702591327572e-15 relative error = 2.574029940372465e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.984058473125891 y1[1] (numeric) = 1.984058473125899 absolute error = 8.43769498715119e-15 relative error = 4.252745118876247e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.392999999999957 y2[1] (analytic) = 1.984235826284783 y2[1] (numeric) = 1.984235826284788 absolute error = 5.10702591327572e-15 relative error = 2.573799870773397e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.984235826284783 y1[1] (numeric) = 1.984235826284792 absolute error = 8.43769498715119e-15 relative error = 4.252365003886482e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.393999999999957 y2[1] (analytic) = 1.984412195207932 y2[1] (numeric) = 1.984412195207937 absolute error = 4.884981308350689e-15 relative error = 2.461676722279379e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.984412195207932 y1[1] (numeric) = 1.98441219520794 absolute error = 8.215650382226158e-15 relative error = 4.140092669288046e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.394999999999957 y2[1] (analytic) = 1.984587579718967 y2[1] (numeric) = 1.984587579718972 absolute error = 4.884981308350689e-15 relative error = 2.461459175836644e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.984587579718967 y1[1] (numeric) = 1.984587579718975 absolute error = 8.215650382226158e-15 relative error = 4.139726795725265e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.395999999999957 y2[1] (analytic) = 1.984761979642505 y2[1] (numeric) = 1.98476197964251 absolute error = 4.884981308350689e-15 relative error = 2.461242888797463e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.984761979642505 y1[1] (numeric) = 1.984761979642513 absolute error = 8.215650382226158e-15 relative error = 4.139363040250278e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.396999999999957 y2[1] (analytic) = 1.984935394804145 y2[1] (numeric) = 1.984935394804149 absolute error = 4.662936703425657e-15 relative error = 2.349162957964057e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.984935394804145 y1[1] (numeric) = 1.984935394804153 absolute error = 7.993605777301127e-15 relative error = 4.027136499366954e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.397999999999957 y2[1] (analytic) = 1.985107825030472 y2[1] (numeric) = 1.985107825030477 absolute error = 4.662936703425657e-15 relative error = 2.348958905219206e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.985107825030472 y1[1] (numeric) = 1.98510782503048 absolute error = 7.993605777301127e-15 relative error = 4.026786694661496e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.398999999999957 y2[1] (analytic) = 1.985279270149056 y2[1] (numeric) = 1.985279270149061 absolute error = 4.662936703425657e-15 relative error = 2.348756053386665e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.985279270149056 y1[1] (numeric) = 1.985279270149064 absolute error = 7.993605777301127e-15 relative error = 4.026438948662855e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.399999999999957 y2[1] (analytic) = 1.985449729988453 y2[1] (numeric) = 1.985449729988457 absolute error = 4.662936703425657e-15 relative error = 2.348554402056191e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.985449729988453 y1[1] (numeric) = 1.985449729988461 absolute error = 7.993605777301127e-15 relative error = 4.026093260667757e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.400999999999957 y2[1] (analytic) = 1.985619204378201 y2[1] (numeric) = 1.985619204378206 absolute error = 4.662936703425657e-15 relative error = 2.348353950820022e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.985619204378201 y1[1] (numeric) = 1.985619204378209 absolute error = 7.993605777301127e-15 relative error = 4.02574962997718e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.401999999999956 y2[1] (analytic) = 1.985787693148827 y2[1] (numeric) = 1.985787693148832 absolute error = 4.662936703425657e-15 relative error = 2.348154699272873e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.985787693148827 y1[1] (numeric) = 1.985787693148835 absolute error = 7.993605777301127e-15 relative error = 4.025408055896354e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.402999999999956 y2[1] (analytic) = 1.985955196131843 y2[1] (numeric) = 1.985955196131847 absolute error = 4.662936703425657e-15 relative error = 2.347956647011938e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.985955196131843 y1[1] (numeric) = 1.985955196131851 absolute error = 7.993605777301127e-15 relative error = 4.025068537734751e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.403999999999956 y2[1] (analytic) = 1.986121713159744 y2[1] (numeric) = 1.986121713159749 absolute error = 4.662936703425657e-15 relative error = 2.347759793636885e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.986121713159744 y1[1] (numeric) = 1.986121713159752 absolute error = 7.993605777301127e-15 relative error = 4.024731074806089e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.404999999999956 y2[1] (analytic) = 1.986287244066014 y2[1] (numeric) = 1.986287244066019 absolute error = 4.662936703425657e-15 relative error = 2.347564138749856e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.986287244066014 y1[1] (numeric) = 1.986287244066022 absolute error = 7.993605777301127e-15 relative error = 4.024395666428324e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.405999999999956 y2[1] (analytic) = 1.986451788685123 y2[1] (numeric) = 1.986451788685127 absolute error = 4.440892098500626e-15 relative error = 2.235590173290917e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.986451788685123 y1[1] (numeric) = 1.986451788685131 absolute error = 7.771561172376096e-15 relative error = 3.912282803259105e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.406999999999956 y2[1] (analytic) = 1.986615346852525 y2[1] (numeric) = 1.986615346852529 absolute error = 4.440892098500626e-15 relative error = 2.235406117010277e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.986615346852525 y1[1] (numeric) = 1.986615346852532 absolute error = 7.771561172376096e-15 relative error = 3.911960704767984e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.407999999999956 y2[1] (analytic) = 1.986777918404662 y2[1] (numeric) = 1.986777918404666 absolute error = 4.440892098500626e-15 relative error = 2.23522320102418e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.986777918404662 y1[1] (numeric) = 1.98677791840467 absolute error = 7.771561172376096e-15 relative error = 3.911640601792315e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.408999999999956 y2[1] (analytic) = 1.986939503178963 y2[1] (numeric) = 1.986939503178967 absolute error = 4.440892098500626e-15 relative error = 2.235041424963122e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.986939503178963 y1[1] (numeric) = 1.986939503178971 absolute error = 7.771561172376096e-15 relative error = 3.911322493685463e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.409999999999956 y2[1] (analytic) = 1.987100101013843 y2[1] (numeric) = 1.987100101013848 absolute error = 4.440892098500626e-15 relative error = 2.234860788459941e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.987100101013843 y1[1] (numeric) = 1.987100101013851 absolute error = 7.771561172376096e-15 relative error = 3.911006379804897e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.410999999999955 y2[1] (analytic) = 1.987259711748705 y2[1] (numeric) = 1.987259711748709 absolute error = 4.218847493575595e-15 relative error = 2.122947226592335e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.987259711748705 y1[1] (numeric) = 1.987259711748712 absolute error = 7.549516567451064e-15 relative error = 3.798958194954704e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.411999999999955 y2[1] (analytic) = 1.987418335223937 y2[1] (numeric) = 1.987418335223941 absolute error = 4.440892098500626e-15 relative error = 2.234502932670307e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.987418335223937 y1[1] (numeric) = 1.987418335223944 absolute error = 7.771561172376096e-15 relative error = 3.910380132173038e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.412999999999955 y2[1] (analytic) = 1.987575971280916 y2[1] (numeric) = 1.98757597128092 absolute error = 4.440892098500626e-15 relative error = 2.234325712661259e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.987575971280916 y1[1] (numeric) = 1.987575971280923 absolute error = 7.771561172376096e-15 relative error = 3.910069997157204e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.413999999999955 y2[1] (analytic) = 1.987732619762006 y2[1] (numeric) = 1.98773261976201 absolute error = 4.440892098500626e-15 relative error = 2.234149630764897e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.987732619762006 y1[1] (numeric) = 1.987732619762013 absolute error = 7.771561172376096e-15 relative error = 3.90976185383857e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.414999999999955 y2[1] (analytic) = 1.987888280510558 y2[1] (numeric) = 1.987888280510562 absolute error = 4.218847493575595e-15 relative error = 2.122275952294487e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.987888280510558 y1[1] (numeric) = 1.987888280510566 absolute error = 7.549516567451064e-15 relative error = 3.797756967263819e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.415999999999955 y2[1] (analytic) = 1.988042953370913 y2[1] (numeric) = 1.988042953370917 absolute error = 4.218847493575595e-15 relative error = 2.122110835896249e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.988042953370913 y1[1] (numeric) = 1.98804295337092 absolute error = 7.549516567451064e-15 relative error = 3.797461495814341e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.416999999999955 y2[1] (analytic) = 1.988196638188396 y2[1] (numeric) = 1.9881966381884 absolute error = 3.996802888650564e-15 relative error = 2.010265389188249e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.988196638188396 y1[1] (numeric) = 1.988196638188403 absolute error = 7.327471962526033e-15 relative error = 3.685486546845123e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.417999999999955 y2[1] (analytic) = 1.988349334809324 y2[1] (numeric) = 1.988349334809328 absolute error = 3.996802888650564e-15 relative error = 2.010111009509224e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.988349334809324 y1[1] (numeric) = 1.988349334809331 absolute error = 7.327471962526033e-15 relative error = 3.685203517433577e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.418999999999955 y2[1] (analytic) = 1.988501043080999 y2[1] (numeric) = 1.988501043081003 absolute error = 3.996802888650564e-15 relative error = 2.009957652553145e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.988501043080999 y1[1] (numeric) = 1.988501043081006 absolute error = 7.327471962526033e-15 relative error = 3.684922363014098e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y2[1] (analytic) = 1.988651762851713 y2[1] (numeric) = 1.988651762851717 absolute error = 3.996802888650564e-15 relative error = 2.009805318010618e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.988651762851713 y1[1] (numeric) = 1.98865176285172 absolute error = 7.327471962526033e-15 relative error = 3.684643083019467e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.420999999999954 y2[1] (analytic) = 1.988801493970747 y2[1] (numeric) = 1.988801493970751 absolute error = 3.996802888650564e-15 relative error = 2.00965400557435e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.988801493970747 y1[1] (numeric) = 1.988801493970754 absolute error = 7.327471962526033e-15 relative error = 3.684365676886309e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.421999999999954 y2[1] (analytic) = 1.988950236288369 y2[1] (numeric) = 1.988950236288373 absolute error = 3.996802888650564e-15 relative error = 2.009503714939143e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.988950236288369 y1[1] (numeric) = 1.988950236288376 absolute error = 7.327471962526033e-15 relative error = 3.684090144055095e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.422999999999954 y2[1] (analytic) = 1.989097989655838 y2[1] (numeric) = 1.989097989655842 absolute error = 3.996802888650564e-15 relative error = 2.009354445801892e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.989097989655838 y1[1] (numeric) = 1.989097989655845 absolute error = 7.327471962526033e-15 relative error = 3.683816483970136e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.423999999999954 y2[1] (analytic) = 1.989244753925399 y2[1] (numeric) = 1.989244753925403 absolute error = 3.996802888650564e-15 relative error = 2.009206197861589e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.989244753925399 y1[1] (numeric) = 1.989244753925406 absolute error = 7.327471962526033e-15 relative error = 3.68354469607958e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.424999999999954 y2[1] (analytic) = 1.989390528950289 y2[1] (numeric) = 1.989390528950292 absolute error = 3.774758283725532e-15 relative error = 1.897444583551577e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.989390528950289 y1[1] (numeric) = 1.989390528950296 absolute error = 7.105427357601002e-15 relative error = 3.571660392567675e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.425999999999954 y2[1] (analytic) = 1.989535314584732 y2[1] (numeric) = 1.989535314584736 absolute error = 3.774758283725532e-15 relative error = 1.897306499690569e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.989535314584732 y1[1] (numeric) = 1.989535314584739 absolute error = 7.105427357601002e-15 relative error = 3.571400470005777e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.426999999999954 y2[1] (analytic) = 1.989679110683943 y2[1] (numeric) = 1.989679110683947 absolute error = 3.774758283725532e-15 relative error = 1.897169379452336e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.989679110683943 y1[1] (numeric) = 1.98967911068395 absolute error = 7.105427357601002e-15 relative error = 3.571142361322045e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.427999999999954 y2[1] (analytic) = 1.989821917104126 y2[1] (numeric) = 1.98982191710413 absolute error = 3.774758283725532e-15 relative error = 1.89703322256049e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.989821917104126 y1[1] (numeric) = 1.989821917104133 absolute error = 7.105427357601002e-15 relative error = 3.570886065996217e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.428999999999953 y2[1] (analytic) = 1.989963733702474 y2[1] (numeric) = 1.989963733702478 absolute error = 3.552713678800501e-15 relative error = 1.78531579175587e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.989963733702474 y1[1] (numeric) = 1.989963733702481 absolute error = 6.883382752675971e-15 relative error = 3.459049346526999e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y2[1] (analytic) = 1.990104560337171 y2[1] (numeric) = 1.990104560337175 absolute error = 3.552713678800501e-15 relative error = 1.785189456677887e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.990104560337171 y1[1] (numeric) = 1.990104560337178 absolute error = 6.883382752675971e-15 relative error = 3.458804572313407e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.430999999999953 y2[1] (analytic) = 1.99024439686739 y2[1] (numeric) = 1.990244396867394 absolute error = 3.552713678800501e-15 relative error = 1.785064027509591e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99024439686739 y1[1] (numeric) = 1.990244396867397 absolute error = 6.883382752675971e-15 relative error = 3.458561553299833e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.431999999999953 y2[1] (analytic) = 1.990383243153296 y2[1] (numeric) = 1.990383243153299 absolute error = 3.33066907387547e-15 relative error = 1.673380784998373e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.990383243153296 y1[1] (numeric) = 1.990383243153302 absolute error = 6.661338147750939e-15 relative error = 3.346761569996746e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.432999999999953 y2[1] (analytic) = 1.99052109905604 y2[1] (numeric) = 1.990521099056043 absolute error = 3.552713678800501e-15 relative error = 1.784815885893044e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99052109905604 y1[1] (numeric) = 1.990521099056046 absolute error = 6.883382752675971e-15 relative error = 3.458080778917773e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.433999999999953 y2[1] (analytic) = 1.990657964437768 y2[1] (numeric) = 1.990657964437771 absolute error = 3.33066907387547e-15 relative error = 1.673149849635856e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.990657964437768 y1[1] (numeric) = 1.990657964437774 absolute error = 6.661338147750939e-15 relative error = 3.346299699271712e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.434999999999953 y2[1] (analytic) = 1.990793839161613 y2[1] (numeric) = 1.990793839161617 absolute error = 3.33066907387547e-15 relative error = 1.673035654600037e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.990793839161613 y1[1] (numeric) = 1.99079383916162 absolute error = 6.661338147750939e-15 relative error = 3.346071309200073e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.435999999999953 y2[1] (analytic) = 1.990928723091703 y2[1] (numeric) = 1.990928723091706 absolute error = 3.33066907387547e-15 relative error = 1.672922307687284e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.990928723091703 y1[1] (numeric) = 1.990928723091709 absolute error = 6.661338147750939e-15 relative error = 3.345844615374569e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.436999999999953 y2[1] (analytic) = 1.991062616093151 y2[1] (numeric) = 1.991062616093155 absolute error = 3.108624468950438e-15 relative error = 1.561289154758055e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991062616093151 y1[1] (numeric) = 1.991062616093158 absolute error = 6.439293542825908e-15 relative error = 3.2340989634274e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.437999999999952 y2[1] (analytic) = 1.991195518032067 y2[1] (numeric) = 1.99119551803207 absolute error = 3.108624468950438e-15 relative error = 1.561184946831714e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991195518032067 y1[1] (numeric) = 1.991195518032073 absolute error = 6.661338147750939e-15 relative error = 3.345396314639386e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.438999999999952 y2[1] (analytic) = 1.991327428775546 y2[1] (numeric) = 1.99132742877555 absolute error = 3.108624468950438e-15 relative error = 1.561081529852632e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991327428775546 y1[1] (numeric) = 1.991327428775553 absolute error = 6.661338147750939e-15 relative error = 3.345174706827069e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y2[1] (analytic) = 1.99145834819168 y2[1] (numeric) = 1.991458348191683 absolute error = 2.886579864025407e-15 relative error = 1.449480410497428e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99145834819168 y1[1] (numeric) = 1.991458348191687 absolute error = 6.439293542825908e-15 relative error = 3.233456300340417e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.440999999999952 y2[1] (analytic) = 1.991588276149548 y2[1] (numeric) = 1.991588276149551 absolute error = 3.108624468950438e-15 relative error = 1.560877067905079e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991588276149548 y1[1] (numeric) = 1.991588276149555 absolute error = 6.661338147750939e-15 relative error = 3.344736574082313e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.441999999999952 y2[1] (analytic) = 1.991717212519223 y2[1] (numeric) = 1.991717212519226 absolute error = 3.108624468950438e-15 relative error = 1.560776022525053e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991717212519223 y1[1] (numeric) = 1.99171721251923 absolute error = 6.661338147750939e-15 relative error = 3.344520048267971e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.442999999999952 y2[1] (analytic) = 1.991845157171768 y2[1] (numeric) = 1.991845157171771 absolute error = 2.886579864025407e-15 relative error = 1.449198926749948e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991845157171768 y1[1] (numeric) = 1.991845157171774 absolute error = 6.439293542825908e-15 relative error = 3.232828375057576e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.443999999999952 y2[1] (analytic) = 1.991972109979238 y2[1] (numeric) = 1.991972109979241 absolute error = 2.886579864025407e-15 relative error = 1.449106566083143e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991972109979238 y1[1] (numeric) = 1.991972109979244 absolute error = 6.439293542825908e-15 relative error = 3.232622339723935e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.444999999999952 y2[1] (analytic) = 1.992098070814681 y2[1] (numeric) = 1.992098070814684 absolute error = 2.886579864025407e-15 relative error = 1.44901493872986e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992098070814681 y1[1] (numeric) = 1.992098070814687 absolute error = 6.439293542825908e-15 relative error = 3.232417940243534e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.445999999999952 y2[1] (analytic) = 1.992223039552135 y2[1] (numeric) = 1.992223039552138 absolute error = 2.886579864025407e-15 relative error = 1.448924044505744e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992223039552135 y1[1] (numeric) = 1.992223039552142 absolute error = 6.439293542825908e-15 relative error = 3.232215176205122e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.446999999999951 y2[1] (analytic) = 1.992347016066633 y2[1] (numeric) = 1.992347016066636 absolute error = 2.664535259100376e-15 relative error = 1.337385122979631e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992347016066633 y1[1] (numeric) = 1.99234701606664 absolute error = 6.217248937900877e-15 relative error = 3.120565286952473e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.447999999999951 y2[1] (analytic) = 1.992470000234198 y2[1] (numeric) = 1.992470000234201 absolute error = 2.664535259100376e-15 relative error = 1.337302573583132e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992470000234198 y1[1] (numeric) = 1.992470000234204 absolute error = 6.217248937900877e-15 relative error = 3.120372671693974e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.448999999999951 y2[1] (analytic) = 1.992591991931845 y2[1] (numeric) = 1.992591991931848 absolute error = 2.664535259100376e-15 relative error = 1.337220700418992e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992591991931845 y1[1] (numeric) = 1.992591991931851 absolute error = 6.217248937900877e-15 relative error = 3.120181634310981e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y2[1] (analytic) = 1.992712991037583 y2[1] (numeric) = 1.992712991037585 absolute error = 2.664535259100376e-15 relative error = 1.337139503322545e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992712991037583 y1[1] (numeric) = 1.992712991037589 absolute error = 6.217248937900877e-15 relative error = 3.119992174419271e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.450999999999951 y2[1] (analytic) = 1.992832997430412 y2[1] (numeric) = 1.992832997430415 absolute error = 2.886579864025407e-15 relative error = 1.448480563974706e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992832997430412 y1[1] (numeric) = 1.992832997430418 absolute error = 6.439293542825908e-15 relative error = 3.231225873482036e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.451999999999951 y2[1] (analytic) = 1.992952010990327 y2[1] (numeric) = 1.99295201099033 absolute error = 2.886579864025407e-15 relative error = 1.448394064737677e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992952010990327 y1[1] (numeric) = 1.992952010990333 absolute error = 6.439293542825908e-15 relative error = 3.231032913645587e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.452999999999951 y2[1] (analytic) = 1.993070031598313 y2[1] (numeric) = 1.993070031598316 absolute error = 2.664535259100376e-15 relative error = 1.336899966813304e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993070031598313 y1[1] (numeric) = 1.99307003159832 absolute error = 6.217248937900877e-15 relative error = 3.119433255897709e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.453999999999951 y2[1] (analytic) = 1.993187059136351 y2[1] (numeric) = 1.993187059136354 absolute error = 2.664535259100376e-15 relative error = 1.336821472368439e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993187059136351 y1[1] (numeric) = 1.993187059136357 absolute error = 6.217248937900877e-15 relative error = 3.119250102193025e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.454999999999951 y2[1] (analytic) = 1.993303093487412 y2[1] (numeric) = 1.993303093487415 absolute error = 2.664535259100376e-15 relative error = 1.336743653188537e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993303093487412 y1[1] (numeric) = 1.993303093487419 absolute error = 6.217248937900877e-15 relative error = 3.119068524106587e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45599999999995 y2[1] (analytic) = 1.993418134535463 y2[1] (numeric) = 1.993418134535466 absolute error = 2.664535259100376e-15 relative error = 1.336666509117169e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993418134535463 y1[1] (numeric) = 1.993418134535469 absolute error = 6.217248937900877e-15 relative error = 3.118888521273393e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45699999999995 y2[1] (analytic) = 1.993532182165462 y2[1] (numeric) = 1.993532182165464 absolute error = 2.664535259100376e-15 relative error = 1.336590039999275e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993532182165462 y1[1] (numeric) = 1.993532182165468 absolute error = 6.217248937900877e-15 relative error = 3.118710093331641e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45799999999995 y2[1] (analytic) = 1.993645236263361 y2[1] (numeric) = 1.993645236263364 absolute error = 2.664535259100376e-15 relative error = 1.336514245681166e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993645236263361 y1[1] (numeric) = 1.993645236263367 absolute error = 6.217248937900877e-15 relative error = 3.11853323992272e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45899999999995 y2[1] (analytic) = 1.993757296716107 y2[1] (numeric) = 1.99375729671611 absolute error = 2.664535259100376e-15 relative error = 1.336439126010522e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993757296716107 y1[1] (numeric) = 1.993757296716113 absolute error = 6.217248937900877e-15 relative error = 3.118357960691218e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y2[1] (analytic) = 1.993868363411639 y2[1] (numeric) = 1.993868363411642 absolute error = 2.442490654175344e-15 relative error = 1.22500095743336e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993868363411639 y1[1] (numeric) = 1.993868363411646 absolute error = 6.217248937900877e-15 relative error = 3.118184255284916e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.46099999999995 y2[1] (analytic) = 1.993978436238891 y2[1] (numeric) = 1.993978436238893 absolute error = 2.442490654175344e-15 relative error = 1.224933334175094e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993978436238891 y1[1] (numeric) = 1.993978436238897 absolute error = 6.217248937900877e-15 relative error = 3.118012123354784e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.46199999999995 y2[1] (analytic) = 1.994087515087789 y2[1] (numeric) = 1.994087515087791 absolute error = 2.220446049250313e-15 relative error = 1.113514844483924e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994087515087789 y1[1] (numeric) = 1.994087515087795 absolute error = 5.995204332975845e-15 relative error = 3.006490080106594e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.46299999999995 y2[1] (analytic) = 1.994195599849255 y2[1] (numeric) = 1.994195599849257 absolute error = 2.220446049250313e-15 relative error = 1.11345449233674e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994195599849255 y1[1] (numeric) = 1.994195599849261 absolute error = 5.995204332975845e-15 relative error = 3.006327129309199e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.46399999999995 y2[1] (analytic) = 1.994302690415204 y2[1] (numeric) = 1.994302690415206 absolute error = 2.220446049250313e-15 relative error = 1.113394701778208e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994302690415204 y1[1] (numeric) = 1.99430269041521 absolute error = 5.995204332975845e-15 relative error = 3.006165694801161e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.464999999999949 y2[1] (analytic) = 1.994408786678545 y2[1] (numeric) = 1.994408786678547 absolute error = 2.220446049250313e-15 relative error = 1.113335472688228e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994408786678545 y1[1] (numeric) = 1.994408786678551 absolute error = 5.995204332975845e-15 relative error = 3.006005776258216e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.465999999999949 y2[1] (analytic) = 1.994513888533183 y2[1] (numeric) = 1.994513888533185 absolute error = 1.998401444325282e-15 relative error = 1.001949124453056e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994513888533183 y1[1] (numeric) = 1.994513888533188 absolute error = 5.773159728050814e-15 relative error = 2.894519692864383e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.466999999999949 y2[1] (analytic) = 1.994617995874014 y2[1] (numeric) = 1.994617995874016 absolute error = 2.220446049250313e-15 relative error = 1.113218698439219e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994617995874014 y1[1] (numeric) = 1.99461799587402 absolute error = 5.995204332975845e-15 relative error = 3.005690485785891e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.467999999999949 y2[1] (analytic) = 1.994721108596933 y2[1] (numeric) = 1.994721108596935 absolute error = 1.998401444325282e-15 relative error = 1.001845037741109e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994721108596933 y1[1] (numeric) = 1.994721108596939 absolute error = 5.773159728050814e-15 relative error = 2.89421899791876e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.468999999999949 y2[1] (analytic) = 1.994823226598826 y2[1] (numeric) = 1.994823226598828 absolute error = 1.998401444325282e-15 relative error = 1.001793751786496e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994823226598826 y1[1] (numeric) = 1.994823226598832 absolute error = 5.773159728050814e-15 relative error = 2.894070838494322e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y2[1] (analytic) = 1.994924349777576 y2[1] (numeric) = 1.994924349777578 absolute error = 1.998401444325282e-15 relative error = 1.001742970628482e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994924349777576 y1[1] (numeric) = 1.994924349777581 absolute error = 5.773159728050814e-15 relative error = 2.89392413737117e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.470999999999949 y2[1] (analytic) = 1.995024478032058 y2[1] (numeric) = 1.99502447803206 absolute error = 1.998401444325282e-15 relative error = 1.001692694165114e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.995024478032058 y1[1] (numeric) = 1.995024478032064 absolute error = 5.773159728050814e-15 relative error = 2.893778894254772e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.471999999999949 y2[1] (analytic) = 1.995123611262146 y2[1] (numeric) = 1.995123611262148 absolute error = 1.998401444325282e-15 relative error = 1.001642922295457e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.995123611262146 y1[1] (numeric) = 1.995123611262152 absolute error = 5.773159728050814e-15 relative error = 2.893635108853543e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.472999999999949 y2[1] (analytic) = 1.995221749368705 y2[1] (numeric) = 1.995221749368707 absolute error = 1.77635683940025e-15 relative error = 8.903054710396456e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.995221749368705 y1[1] (numeric) = 1.995221749368711 absolute error = 5.551115123125783e-15 relative error = 2.782204596998892e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.473999999999948 y2[1] (analytic) = 1.995318892253598 y2[1] (numeric) = 1.995318892253599 absolute error = 1.77635683940025e-15 relative error = 8.902621261676913e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.995318892253598 y1[1] (numeric) = 1.995318892253603 absolute error = 5.551115123125783e-15 relative error = 2.782069144274035e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.474999999999948 y2[1] (analytic) = 1.995415039819681 y2[1] (numeric) = 1.995415039819683 absolute error = 1.77635683940025e-15 relative error = 8.902192295597681e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.995415039819681 y1[1] (numeric) = 1.995415039819687 absolute error = 5.551115123125783e-15 relative error = 2.781935092374275e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.475999999999948 y2[1] (analytic) = 1.995510191970808 y2[1] (numeric) = 1.995510191970809 absolute error = 1.77635683940025e-15 relative error = 8.901767811297838e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.995510191970808 y1[1] (numeric) = 1.995510191970813 absolute error = 5.551115123125783e-15 relative error = 2.781802441030575e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.476999999999948 y2[1] (analytic) = 1.995604348611825 y2[1] (numeric) = 1.995604348611827 absolute error = 1.77635683940025e-15 relative error = 8.90134780792552e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.995604348611825 y1[1] (numeric) = 1.995604348611831 absolute error = 5.551115123125783e-15 relative error = 2.781671189976725e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.477999999999948 y2[1] (analytic) = 1.995697509648577 y2[1] (numeric) = 1.995697509648579 absolute error = 1.77635683940025e-15 relative error = 8.900932284637915e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.995697509648577 y1[1] (numeric) = 1.995697509648583 absolute error = 5.551115123125783e-15 relative error = 2.781541338949348e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.478999999999948 y2[1] (analytic) = 1.995789674987902 y2[1] (numeric) = 1.995789674987904 absolute error = 1.77635683940025e-15 relative error = 8.900521240601259e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.995789674987902 y1[1] (numeric) = 1.995789674987908 absolute error = 5.551115123125783e-15 relative error = 2.781412887687893e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y2[1] (analytic) = 1.995880844537635 y2[1] (numeric) = 1.995880844537637 absolute error = 1.77635683940025e-15 relative error = 8.900114674990832e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.995880844537635 y1[1] (numeric) = 1.995880844537641 absolute error = 5.551115123125783e-15 relative error = 2.781285835934635e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.480999999999948 y2[1] (analytic) = 1.995971018206607 y2[1] (numeric) = 1.995971018206609 absolute error = 1.554312234475219e-15 relative error = 7.787248513617091e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.995971018206607 y1[1] (numeric) = 1.995971018206612 absolute error = 5.329070518200751e-15 relative error = 2.669913776097288e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.481999999999948 y2[1] (analytic) = 1.996060195904643 y2[1] (numeric) = 1.996060195904645 absolute error = 1.554312234475219e-15 relative error = 7.786900603820629e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.996060195904643 y1[1] (numeric) = 1.996060195904649 absolute error = 5.329070518200751e-15 relative error = 2.669794492738502e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.482999999999947 y2[1] (analytic) = 1.996148377542567 y2[1] (numeric) = 1.996148377542568 absolute error = 1.332267629550188e-15 relative error = 6.674191380454021e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.996148377542567 y1[1] (numeric) = 1.996148377542572 absolute error = 5.10702591327572e-15 relative error = 2.558440029174041e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.483999999999947 y2[1] (analytic) = 1.996235563032196 y2[1] (numeric) = 1.996235563032197 absolute error = 1.332267629550188e-15 relative error = 6.673899885475091e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.996235563032196 y1[1] (numeric) = 1.996235563032201 absolute error = 5.10702591327572e-15 relative error = 2.558328289432119e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.484999999999947 y2[1] (analytic) = 1.996321752286345 y2[1] (numeric) = 1.996321752286346 absolute error = 1.110223024625157e-15 relative error = 5.561343121937341e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.996321752286345 y1[1] (numeric) = 1.99632175228635 absolute error = 5.10702591327572e-15 relative error = 2.558217836091177e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.485999999999947 y2[1] (analytic) = 1.996406945218825 y2[1] (numeric) = 1.996406945218826 absolute error = 1.110223024625157e-15 relative error = 5.561105802021069e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.996406945218825 y1[1] (numeric) = 1.99640694521883 absolute error = 5.10702591327572e-15 relative error = 2.558108668929692e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.486999999999947 y2[1] (analytic) = 1.996491141744442 y2[1] (numeric) = 1.996491141744443 absolute error = 1.110223024625157e-15 relative error = 5.560871277671158e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.996491141744442 y1[1] (numeric) = 1.996491141744447 absolute error = 5.10702591327572e-15 relative error = 2.558000787728733e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.487999999999947 y2[1] (analytic) = 1.996574341779001 y2[1] (numeric) = 1.996574341779002 absolute error = 1.110223024625157e-15 relative error = 5.560639548417307e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.996574341779001 y1[1] (numeric) = 1.996574341779006 absolute error = 5.10702591327572e-15 relative error = 2.557894192271961e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.488999999999947 y2[1] (analytic) = 1.996656545239301 y2[1] (numeric) = 1.996656545239302 absolute error = 8.881784197001252e-16 relative error = 4.448328491035879e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.996656545239301 y1[1] (numeric) = 1.996656545239306 absolute error = 4.884981308350689e-15 relative error = 2.446580670069734e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.489999999999947 y2[1] (analytic) = 1.996737752043139 y2[1] (numeric) = 1.99673775204314 absolute error = 8.881784197001252e-16 relative error = 4.448147578675802e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.996737752043139 y1[1] (numeric) = 1.996737752043144 absolute error = 4.884981308350689e-15 relative error = 2.446481168271691e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.490999999999947 y2[1] (analytic) = 1.996817962109308 y2[1] (numeric) = 1.996817962109309 absolute error = 8.881784197001252e-16 relative error = 4.44796890129089e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.996817962109308 y1[1] (numeric) = 1.996817962109313 absolute error = 4.884981308350689e-15 relative error = 2.446382895709989e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.491999999999946 y2[1] (analytic) = 1.996897175357598 y2[1] (numeric) = 1.996897175357599 absolute error = 8.881784197001252e-16 relative error = 4.447792458522923e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.996897175357598 y1[1] (numeric) = 1.996897175357603 absolute error = 4.884981308350689e-15 relative error = 2.446285852187608e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.492999999999946 y2[1] (analytic) = 1.996975391708796 y2[1] (numeric) = 1.996975391708796 absolute error = 8.881784197001252e-16 relative error = 4.447618250018185e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.996975391708796 y1[1] (numeric) = 1.9969753917088 absolute error = 4.884981308350689e-15 relative error = 2.446190037510002e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.493999999999946 y2[1] (analytic) = 1.997052611084684 y2[1] (numeric) = 1.997052611084685 absolute error = 8.881784197001252e-16 relative error = 4.447446275427455e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.997052611084684 y1[1] (numeric) = 1.997052611084689 absolute error = 4.884981308350689e-15 relative error = 2.4460954514851e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.494999999999946 y2[1] (analytic) = 1.997128833408045 y2[1] (numeric) = 1.997128833408046 absolute error = 8.881784197001252e-16 relative error = 4.447276534406011e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.997128833408045 y1[1] (numeric) = 1.99712883340805 absolute error = 4.884981308350689e-15 relative error = 2.446002093923306e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.495999999999946 y2[1] (analytic) = 1.997204058602656 y2[1] (numeric) = 1.997204058602657 absolute error = 6.661338147750939e-16 relative error = 3.335331769960223e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.997204058602656 y1[1] (numeric) = 1.997204058602661 absolute error = 4.662936703425657e-15 relative error = 2.334732238972156e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.496999999999946 y2[1] (analytic) = 1.997278286593291 y2[1] (numeric) = 1.997278286593292 absolute error = 6.661338147750939e-16 relative error = 3.33520781378594e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.997278286593291 y1[1] (numeric) = 1.997278286593296 absolute error = 4.662936703425657e-15 relative error = 2.334645469650158e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.497999999999946 y2[1] (analytic) = 1.997351517305723 y2[1] (numeric) = 1.997351517305724 absolute error = 6.661338147750939e-16 relative error = 3.335085532033231e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.997351517305723 y1[1] (numeric) = 1.997351517305728 absolute error = 4.662936703425657e-15 relative error = 2.334559872423262e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.498999999999946 y2[1] (analytic) = 1.997423750666721 y2[1] (numeric) = 1.997423750666721 absolute error = 4.440892098500626e-16 relative error = 2.223309949638027e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.997423750666721 y1[1] (numeric) = 1.997423750666725 absolute error = 4.440892098500626e-15 relative error = 2.223309949638027e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.499999999999946 y2[1] (analytic) = 1.997494986604051 y2[1] (numeric) = 1.997494986604051 absolute error = 4.440892098500626e-16 relative error = 2.223230660543787e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.997494986604051 y1[1] (numeric) = 1.997494986604055 absolute error = 4.440892098500626e-15 relative error = 2.223230660543787e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.500999999999945 y2[1] (analytic) = 1.997565225046477 y2[1] (numeric) = 1.997565225046477 absolute error = 4.440892098500626e-16 relative error = 2.223152487247219e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.997565225046477 y1[1] (numeric) = 1.997565225046481 absolute error = 4.440892098500626e-15 relative error = 2.223152487247219e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.501999999999945 y2[1] (analytic) = 1.997634465923762 y2[1] (numeric) = 1.997634465923762 absolute error = 2.220446049250313e-16 relative error = 1.111537714795843e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.997634465923762 y1[1] (numeric) = 1.997634465923766 absolute error = 4.218847493575595e-15 relative error = 2.111921658112102e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.502999999999945 y2[1] (analytic) = 1.997702709166663 y2[1] (numeric) = 1.997702709166664 absolute error = 2.220446049250313e-16 relative error = 1.111499743711399e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.997702709166663 y1[1] (numeric) = 1.997702709166668 absolute error = 4.218847493575595e-15 relative error = 2.111849513051657e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.503999999999945 y2[1] (analytic) = 1.997769954706939 y2[1] (numeric) = 1.997769954706939 absolute error = 2.220446049250313e-16 relative error = 1.1114623302942e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.997769954706939 y1[1] (numeric) = 1.997769954706943 absolute error = 4.218847493575595e-15 relative error = 2.11177842755898e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.504999999999945 y2[1] (analytic) = 1.997836202477343 y2[1] (numeric) = 1.997836202477344 absolute error = 2.220446049250313e-16 relative error = 1.111425474469294e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.997836202477343 y1[1] (numeric) = 1.997836202477348 absolute error = 4.218847493575595e-15 relative error = 2.111708401491658e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.505999999999945 y2[1] (analytic) = 1.997901452411628 y2[1] (numeric) = 1.997901452411628 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.997901452411628 y1[1] (numeric) = 1.997901452411632 absolute error = 3.996802888650564e-15 relative error = 2.000500517093123e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.506999999999945 y2[1] (analytic) = 1.997965704444544 y2[1] (numeric) = 1.997965704444544 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.997965704444544 y1[1] (numeric) = 1.997965704444548 absolute error = 3.996802888650564e-15 relative error = 2.00043618354386e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.507999999999945 y2[1] (analytic) = 1.998028958511838 y2[1] (numeric) = 1.998028958511838 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 1.998028958511838 y1[1] (numeric) = 1.998028958511842 absolute error = 3.996802888650564e-15 relative error = 2.000372853268074e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.508999999999945 y2[1] (analytic) = 1.998091214550257 y2[1] (numeric) = 1.998091214550257 absolute error = 2.220446049250313e-16 relative error = 1.111283625632729e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998091214550257 y1[1] (numeric) = 1.998091214550261 absolute error = 3.774758283725532e-15 relative error = 1.88918216357564e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y2[1] (analytic) = 1.998152472497545 y2[1] (numeric) = 1.998152472497545 absolute error = 2.220446049250313e-16 relative error = 1.111249556684189e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998152472497545 y1[1] (numeric) = 1.998152472497549 absolute error = 3.774758283725532e-15 relative error = 1.889124246363122e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.510999999999944 y2[1] (analytic) = 1.998212732292443 y2[1] (numeric) = 1.998212732292443 absolute error = 2.220446049250313e-16 relative error = 1.111216044901743e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998212732292443 y1[1] (numeric) = 1.998212732292447 absolute error = 3.774758283725532e-15 relative error = 1.889067276332962e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.511999999999944 y2[1] (analytic) = 1.998271993874692 y2[1] (numeric) = 1.998271993874692 absolute error = 2.220446049250313e-16 relative error = 1.111183090218274e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998271993874692 y1[1] (numeric) = 1.998271993874696 absolute error = 3.774758283725532e-15 relative error = 1.889011253371066e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.512999999999944 y2[1] (analytic) = 1.998330257185031 y2[1] (numeric) = 1.998330257185031 absolute error = 2.220446049250313e-16 relative error = 1.111150692567788e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998330257185031 y1[1] (numeric) = 1.998330257185035 absolute error = 3.774758283725532e-15 relative error = 1.88895617736524e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.513999999999944 y2[1] (analytic) = 1.998387522165195 y2[1] (numeric) = 1.998387522165195 absolute error = 2.220446049250313e-16 relative error = 1.111118851885406e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998387522165195 y1[1] (numeric) = 1.998387522165199 absolute error = 3.774758283725532e-15 relative error = 1.88890204820519e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.514999999999944 y2[1] (analytic) = 1.998443788757921 y2[1] (numeric) = 1.998443788757921 absolute error = 2.220446049250313e-16 relative error = 1.111087568107368e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998443788757921 y1[1] (numeric) = 1.998443788757924 absolute error = 3.774758283725532e-15 relative error = 1.888848865782526e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.515999999999944 y2[1] (analytic) = 1.998499056906941 y2[1] (numeric) = 1.998499056906941 absolute error = 2.220446049250313e-16 relative error = 1.111056841171032e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998499056906941 y1[1] (numeric) = 1.998499056906945 absolute error = 3.774758283725532e-15 relative error = 1.888796629990755e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.516999999999944 y2[1] (analytic) = 1.998553326556987 y2[1] (numeric) = 1.998553326556987 absolute error = 2.220446049250313e-16 relative error = 1.111026671014875e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998553326556987 y1[1] (numeric) = 1.998553326556991 absolute error = 3.774758283725532e-15 relative error = 1.888745340725287e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.517999999999944 y2[1] (analytic) = 1.99860659765379 y2[1] (numeric) = 1.99860659765379 absolute error = 4.440892098500626e-16 relative error = 2.221994115156975e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.99860659765379 y1[1] (numeric) = 1.998606597653794 absolute error = 3.552713678800501e-15 relative error = 1.77759529212558e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.518999999999944 y2[1] (analytic) = 1.998658870144079 y2[1] (numeric) = 1.998658870144078 absolute error = 4.440892098500626e-16 relative error = 2.221936001605163e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998658870144079 y1[1] (numeric) = 1.998658870144082 absolute error = 3.552713678800501e-15 relative error = 1.77754880128413e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y2[1] (analytic) = 1.99871014397558 y2[1] (numeric) = 1.99871014397558 absolute error = 4.440892098500626e-16 relative error = 2.221879001257965e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.99871014397558 y1[1] (numeric) = 1.998710143975584 absolute error = 3.552713678800501e-15 relative error = 1.777503201006372e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.520999999999943 y2[1] (analytic) = 1.998760419097021 y2[1] (numeric) = 1.998760419097021 absolute error = 4.440892098500626e-16 relative error = 2.22182311400127e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998760419097021 y1[1] (numeric) = 1.998760419097025 absolute error = 3.552713678800501e-15 relative error = 1.777458491201016e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.521999999999943 y2[1] (analytic) = 1.998809695458126 y2[1] (numeric) = 1.998809695458125 absolute error = 6.661338147750939e-16 relative error = 3.332652509584793e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998809695458126 y1[1] (numeric) = 1.998809695458129 absolute error = 3.33066907387547e-15 relative error = 1.666326254792396e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.522999999999943 y2[1] (analytic) = 1.998857973009619 y2[1] (numeric) = 1.998857973009618 absolute error = 6.661338147750939e-16 relative error = 3.33257201747114e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998857973009619 y1[1] (numeric) = 1.998857973009622 absolute error = 3.33066907387547e-15 relative error = 1.66628600873557e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.523999999999943 y2[1] (analytic) = 1.998905251703222 y2[1] (numeric) = 1.998905251703221 absolute error = 6.661338147750939e-16 relative error = 3.332493194499821e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998905251703222 y1[1] (numeric) = 1.998905251703225 absolute error = 3.33066907387547e-15 relative error = 1.666246597249911e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.524999999999943 y2[1] (analytic) = 1.998951531491656 y2[1] (numeric) = 1.998951531491655 absolute error = 6.661338147750939e-16 relative error = 3.332416040513059e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998951531491656 y1[1] (numeric) = 1.998951531491659 absolute error = 3.33066907387547e-15 relative error = 1.666208020256529e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.525999999999943 y2[1] (analytic) = 1.998996812328643 y2[1] (numeric) = 1.998996812328642 absolute error = 8.881784197001252e-16 relative error = 4.443120740475225e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.998996812328643 y1[1] (numeric) = 1.998996812328646 absolute error = 3.108624468950438e-15 relative error = 1.555092259166329e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.526999999999943 y2[1] (analytic) = 1.9990410941689 y2[1] (numeric) = 1.999041094168899 absolute error = 8.881784197001252e-16 relative error = 4.443022318505088e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.9990410941689 y1[1] (numeric) = 1.999041094168903 absolute error = 3.108624468950438e-15 relative error = 1.555057811476781e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.527999999999943 y2[1] (analytic) = 1.999084376968146 y2[1] (numeric) = 1.999084376968145 absolute error = 8.881784197001252e-16 relative error = 4.442926121243345e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.999084376968146 y1[1] (numeric) = 1.999084376968149 absolute error = 3.108624468950438e-15 relative error = 1.55502414243517e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.528999999999942 y2[1] (analytic) = 1.999126660683098 y2[1] (numeric) = 1.999126660683098 absolute error = 8.881784197001252e-16 relative error = 4.442832148497465e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.999126660683098 y1[1] (numeric) = 1.999126660683102 absolute error = 3.108624468950438e-15 relative error = 1.554991251974113e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y2[1] (analytic) = 1.999167945271474 y2[1] (numeric) = 1.999167945271473 absolute error = 1.110223024625157e-15 relative error = 5.553425500099221e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.999167945271474 y1[1] (numeric) = 1.999167945271477 absolute error = 2.886579864025407e-15 relative error = 1.443890630025797e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.530999999999942 y2[1] (analytic) = 1.999208230691987 y2[1] (numeric) = 1.999208230691986 absolute error = 1.110223024625157e-15 relative error = 5.553313594756834e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.999208230691987 y1[1] (numeric) = 1.99920823069199 absolute error = 2.886579864025407e-15 relative error = 1.443861534636777e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.531999999999942 y2[1] (analytic) = 1.999247516904352 y2[1] (numeric) = 1.999247516904351 absolute error = 1.110223024625157e-15 relative error = 5.553204469370721e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.999247516904352 y1[1] (numeric) = 1.999247516904355 absolute error = 2.886579864025407e-15 relative error = 1.443833162036387e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.532999999999942 y2[1] (analytic) = 1.999285803869285 y2[1] (numeric) = 1.999285803869283 absolute error = 1.332267629550188e-15 relative error = 6.663717748467006e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.999285803869285 y1[1] (numeric) = 1.999285803869287 absolute error = 2.664535259100376e-15 relative error = 1.332743549693401e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.533999999999942 y2[1] (analytic) = 1.999323091548496 y2[1] (numeric) = 1.999323091548495 absolute error = 1.332267629550188e-15 relative error = 6.663593469119256e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.999323091548496 y1[1] (numeric) = 1.999323091548499 absolute error = 2.664535259100376e-15 relative error = 1.332718693823851e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.534999999999942 y2[1] (analytic) = 1.999359379904699 y2[1] (numeric) = 1.999359379904698 absolute error = 1.554312234475219e-15 relative error = 7.774051279111744e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.999359379904699 y1[1] (numeric) = 1.999359379904702 absolute error = 2.442490654175344e-15 relative error = 1.221636629574703e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.535999999999942 y2[1] (analytic) = 1.999394668901606 y2[1] (numeric) = 1.999394668901604 absolute error = 1.77635683940025e-15 relative error = 8.884473220968002e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.999394668901606 y1[1] (numeric) = 1.999394668901608 absolute error = 2.442490654175344e-15 relative error = 1.2216150678831e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.536999999999942 y2[1] (analytic) = 1.999428958503927 y2[1] (numeric) = 1.999428958503925 absolute error = 1.77635683940025e-15 relative error = 8.884320854937551e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.999428958503927 y1[1] (numeric) = 1.999428958503929 absolute error = 2.442490654175344e-15 relative error = 1.221594117553913e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.537999999999941 y2[1] (analytic) = 1.999462248677373 y2[1] (numeric) = 1.999462248677371 absolute error = 1.77635683940025e-15 relative error = 8.884172934874342e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.999462248677373 y1[1] (numeric) = 1.999462248677375 absolute error = 2.442490654175344e-15 relative error = 1.221573778545222e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.538999999999941 y2[1] (analytic) = 1.999494539388653 y2[1] (numeric) = 1.999494539388651 absolute error = 1.998401444325282e-15 relative error = 9.994533143042714e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 1.999494539388653 y1[1] (numeric) = 1.999494539388655 absolute error = 2.442490654175344e-15 relative error = 1.221554050816332e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y2[1] (analytic) = 1.999525830605477 y2[1] (numeric) = 1.999525830605475 absolute error = 2.220446049250313e-15 relative error = 1.110486303934338e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999525830605477 y1[1] (numeric) = 1.99952583060548 absolute error = 2.220446049250313e-15 relative error = 1.110486303934338e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.540999999999941 y2[1] (analytic) = 1.999556122296554 y2[1] (numeric) = 1.999556122296552 absolute error = 2.220446049250313e-15 relative error = 1.110469480946631e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999556122296554 y1[1] (numeric) = 1.999556122296556 absolute error = 2.220446049250313e-15 relative error = 1.110469480946631e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.541999999999941 y2[1] (analytic) = 1.999585414431592 y2[1] (numeric) = 1.99958541443159 absolute error = 2.220446049250313e-15 relative error = 1.110453213563524e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999585414431592 y1[1] (numeric) = 1.999585414431594 absolute error = 2.220446049250313e-15 relative error = 1.110453213563524e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.542999999999941 y2[1] (analytic) = 1.999613706981299 y2[1] (numeric) = 1.999613706981297 absolute error = 2.220446049250313e-15 relative error = 1.110437501752472e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999613706981299 y1[1] (numeric) = 1.999613706981301 absolute error = 2.220446049250313e-15 relative error = 1.110437501752472e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.543999999999941 y2[1] (analytic) = 1.999640999917382 y2[1] (numeric) = 1.99964099991738 absolute error = 2.220446049250313e-15 relative error = 1.110422345482041e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999640999917382 y1[1] (numeric) = 1.999640999917384 absolute error = 2.220446049250313e-15 relative error = 1.110422345482041e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.544999999999941 y2[1] (analytic) = 1.999667293212549 y2[1] (numeric) = 1.999667293212546 absolute error = 2.220446049250313e-15 relative error = 1.11040774472191e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999667293212549 y1[1] (numeric) = 1.999667293212551 absolute error = 2.220446049250313e-15 relative error = 1.11040774472191e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.545999999999941 y2[1] (analytic) = 1.999692586840505 y2[1] (numeric) = 1.999692586840503 absolute error = 2.442490654175344e-15 relative error = 1.221433069387158e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999692586840505 y1[1] (numeric) = 1.999692586840507 absolute error = 1.998401444325282e-15 relative error = 9.993543294985838e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54699999999994 y2[1] (analytic) = 1.999716880775958 y2[1] (numeric) = 1.999716880775956 absolute error = 2.442490654175344e-15 relative error = 1.221418230578508e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999716880775958 y1[1] (numeric) = 1.99971688077596 absolute error = 1.998401444325282e-15 relative error = 9.993421886551429e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54799999999994 y2[1] (analytic) = 1.999740174994614 y2[1] (numeric) = 1.999740174994612 absolute error = 2.442490654175344e-15 relative error = 1.221404002738467e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999740174994614 y1[1] (numeric) = 1.999740174994616 absolute error = 1.998401444325282e-15 relative error = 9.993305476951096e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54899999999994 y2[1] (analytic) = 1.999762469473178 y2[1] (numeric) = 1.999762469473175 absolute error = 2.442490654175344e-15 relative error = 1.221390385838574e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999762469473178 y1[1] (numeric) = 1.99976246947318 absolute error = 1.998401444325282e-15 relative error = 9.993194065951969e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y2[1] (analytic) = 1.999783764189356 y2[1] (numeric) = 1.999783764189353 absolute error = 2.442490654175344e-15 relative error = 1.22137737985159e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999783764189356 y1[1] (numeric) = 1.999783764189358 absolute error = 1.998401444325282e-15 relative error = 9.993087653331188e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.55099999999994 y2[1] (analytic) = 1.999804059121853 y2[1] (numeric) = 1.99980405912185 absolute error = 2.664535259100376e-15 relative error = 1.332398165183452e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999804059121853 y1[1] (numeric) = 1.999804059121854 absolute error = 1.77635683940025e-15 relative error = 8.882654434556345e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.55199999999994 y2[1] (analytic) = 1.999823354250374 y2[1] (numeric) = 1.999823354250371 absolute error = 2.886579864025407e-15 relative error = 1.443417418788686e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999823354250374 y1[1] (numeric) = 1.999823354250375 absolute error = 1.554312234475219e-15 relative error = 7.772247639631388e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.55299999999994 y2[1] (analytic) = 1.999841649555624 y2[1] (numeric) = 1.999841649555621 absolute error = 2.886579864025407e-15 relative error = 1.443404213862043e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999841649555624 y1[1] (numeric) = 1.999841649555625 absolute error = 1.554312234475219e-15 relative error = 7.772176536180232e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.55399999999994 y2[1] (analytic) = 1.999858945019308 y2[1] (numeric) = 1.999858945019305 absolute error = 2.886579864025407e-15 relative error = 1.443391730809064e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999858945019308 y1[1] (numeric) = 1.999858945019309 absolute error = 1.554312234475219e-15 relative error = 7.772109319741112e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.55499999999994 y2[1] (analytic) = 1.99987524062413 y2[1] (numeric) = 1.999875240624127 absolute error = 2.886579864025407e-15 relative error = 1.443379969604779e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99987524062413 y1[1] (numeric) = 1.999875240624132 absolute error = 1.554312234475219e-15 relative error = 7.772045990179579e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.555999999999939 y2[1] (analytic) = 1.999890536353795 y2[1] (numeric) = 1.999890536353792 absolute error = 3.108624468950438e-15 relative error = 1.554397309473792e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999890536353795 y1[1] (numeric) = 1.999890536353796 absolute error = 1.332267629550188e-15 relative error = 6.661702754887681e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.556999999999939 y2[1] (analytic) = 1.999904832193007 y2[1] (numeric) = 1.999904832193004 absolute error = 3.108624468950438e-15 relative error = 1.554386198238073e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999904832193007 y1[1] (numeric) = 1.999904832193008 absolute error = 1.332267629550188e-15 relative error = 6.661655135306025e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.557999999999939 y2[1] (analytic) = 1.99991812812747 y2[1] (numeric) = 1.999918128127467 absolute error = 3.33066907387547e-15 relative error = 1.665402711756999e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99991812812747 y1[1] (numeric) = 1.999918128127471 absolute error = 1.110223024625157e-15 relative error = 5.551342372523329e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.558999999999939 y2[1] (analytic) = 1.999930424143888 y2[1] (numeric) = 1.999930424143885 absolute error = 3.33066907387547e-15 relative error = 1.665392472491253e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999930424143888 y1[1] (numeric) = 1.999930424143889 absolute error = 1.110223024625157e-15 relative error = 5.551308241637509e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y2[1] (analytic) = 1.999941720229966 y2[1] (numeric) = 1.999941720229962 absolute error = 3.33066907387547e-15 relative error = 1.665383066008788e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999941720229966 y1[1] (numeric) = 1.999941720229967 absolute error = 1.110223024625157e-15 relative error = 5.551276886695959e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.560999999999939 y2[1] (analytic) = 1.999952016374406 y2[1] (numeric) = 1.999952016374403 absolute error = 3.552713678800501e-15 relative error = 1.77639945844351e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999952016374406 y1[1] (numeric) = 1.999952016374407 absolute error = 8.881784197001252e-16 relative error = 4.440998646108775e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.561999999999939 y2[1] (analytic) = 1.999961312566914 y2[1] (numeric) = 1.99996131256691 absolute error = 3.552713678800501e-15 relative error = 1.77639120140812e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999961312566914 y1[1] (numeric) = 1.999961312566914 absolute error = 8.881784197001252e-16 relative error = 4.440978003520301e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.562999999999939 y2[1] (analytic) = 1.999969608798192 y2[1] (numeric) = 1.999969608798188 absolute error = 3.774758283725532e-15 relative error = 1.887407822158775e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999969608798192 y1[1] (numeric) = 1.999969608798193 absolute error = 6.661338147750939e-16 relative error = 3.330719686162543e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.563999999999939 y2[1] (analytic) = 1.999976905059945 y2[1] (numeric) = 1.999976905059941 absolute error = 3.774758283725532e-15 relative error = 1.887400936568511e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999976905059945 y1[1] (numeric) = 1.999976905059945 absolute error = 6.661338147750939e-16 relative error = 3.330707535120902e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.564999999999938 y2[1] (analytic) = 1.999983201344876 y2[1] (numeric) = 1.999983201344872 absolute error = 3.774758283725532e-15 relative error = 1.887394994711566e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999983201344876 y1[1] (numeric) = 1.999983201344876 absolute error = 6.661338147750939e-16 relative error = 3.330697049490998e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.565999999999938 y2[1] (analytic) = 1.999988497646689 y2[1] (numeric) = 1.999988497646685 absolute error = 3.996802888650564e-15 relative error = 1.998412937551116e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999988497646689 y1[1] (numeric) = 1.999988497646689 absolute error = 4.440892098500626e-16 relative error = 2.22045881950124e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.566999999999938 y2[1] (analytic) = 1.999992793960087 y2[1] (numeric) = 1.999992793960083 absolute error = 3.996802888650564e-15 relative error = 1.998408644631509e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999992793960087 y1[1] (numeric) = 1.999992793960088 absolute error = 4.440892098500626e-16 relative error = 2.220454049590566e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.567999999999938 y2[1] (analytic) = 1.999996090280776 y2[1] (numeric) = 1.999996090280771 absolute error = 4.218847493575595e-15 relative error = 2.109427870423146e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999996090280776 y1[1] (numeric) = 1.999996090280776 absolute error = 2.220446049250313e-16 relative error = 1.110225194959551e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.568999999999938 y2[1] (analytic) = 1.999998386605457 y2[1] (numeric) = 1.999998386605452 absolute error = 4.218847493575595e-15 relative error = 2.109425448455551e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999998386605457 y1[1] (numeric) = 1.999998386605457 absolute error = 2.220446049250313e-16 relative error = 1.110223920239764e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.569999999999938 y2[1] (analytic) = 1.999999682931834 y2[1] (numeric) = 1.99999968293183 absolute error = 4.218847493575595e-15 relative error = 2.109424081203409e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999999682931834 y1[1] (numeric) = 1.999999682931835 absolute error = 2.220446049250313e-16 relative error = 1.110223200633373e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.570999999999938 y2[1] (analytic) = 1.999999979258613 y2[1] (numeric) = 1.999999979258609 absolute error = 4.440892098500626e-15 relative error = 2.220446072277879e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999999979258613 y1[1] (numeric) = 1.999999979258613 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.571999999999938 y2[1] (analytic) = 1.999999275585495 y2[1] (numeric) = 1.999999275585491 absolute error = 4.440892098500626e-15 relative error = 2.220446853512267e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999999275585495 y1[1] (numeric) = 1.999999275585495 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.572999999999938 y2[1] (analytic) = 1.999997571913185 y2[1] (numeric) = 1.999997571913181 absolute error = 4.440892098500626e-15 relative error = 2.220448744971473e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999997571913185 y1[1] (numeric) = 1.999997571913185 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.573999999999937 y2[1] (analytic) = 1.999994868243387 y2[1] (numeric) = 1.999994868243382 absolute error = 4.440892098500626e-15 relative error = 2.220451746659281e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999994868243387 y1[1] (numeric) = 1.999994868243387 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.574999999999937 y2[1] (analytic) = 1.999991164578803 y2[1] (numeric) = 1.999991164578799 absolute error = 4.440892098500626e-15 relative error = 2.220455858581693e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999991164578803 y1[1] (numeric) = 1.999991164578803 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.575999999999937 y2[1] (analytic) = 1.999986460923139 y2[1] (numeric) = 1.999986460923134 absolute error = 4.662936703425657e-15 relative error = 2.33148413478428e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999986460923139 y1[1] (numeric) = 1.999986460923139 absolute error = 2.220446049250313e-16 relative error = 1.110230540373466e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.576999999999937 y2[1] (analytic) = 1.999980757281097 y2[1] (numeric) = 1.999980757281092 absolute error = 4.662936703425657e-15 relative error = 2.331490783823718e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999980757281097 y1[1] (numeric) = 1.999980757281096 absolute error = 2.220446049250313e-16 relative error = 1.110233706582723e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.577999999999937 y2[1] (analytic) = 1.99997405365838 y2[1] (numeric) = 1.999974053658376 absolute error = 4.662936703425657e-15 relative error = 2.331498598642392e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99997405365838 y1[1] (numeric) = 1.99997405365838 absolute error = 2.220446049250313e-16 relative error = 1.110237427924949e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.578999999999937 y2[1] (analytic) = 1.999966350061694 y2[1] (numeric) = 1.999966350061689 absolute error = 4.662936703425657e-15 relative error = 2.33150757925593e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999966350061694 y1[1] (numeric) = 1.999966350061694 absolute error = 2.220446049250313e-16 relative error = 1.110241704407586e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.579999999999937 y2[1] (analytic) = 1.999957646498741 y2[1] (numeric) = 1.999957646498736 absolute error = 4.662936703425657e-15 relative error = 2.331517725682294e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999957646498741 y1[1] (numeric) = 1.99995764649874 absolute error = 2.220446049250313e-16 relative error = 1.110246536039188e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.580999999999937 y2[1] (analytic) = 1.999947942978224 y2[1] (numeric) = 1.999947942978219 absolute error = 4.884981308350689e-15 relative error = 2.44255423022472e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999947942978224 y1[1] (numeric) = 1.999947942978224 absolute error = 4.440892098500626e-16 relative error = 2.220503845658836e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.581999999999937 y2[1] (analytic) = 1.999937239509848 y2[1] (numeric) = 1.999937239509843 absolute error = 4.884981308350689e-15 relative error = 2.442567302535912e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999937239509848 y1[1] (numeric) = 1.999937239509848 absolute error = 4.440892098500626e-16 relative error = 2.220515729578102e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.582999999999936 y2[1] (analytic) = 1.999925536104316 y2[1] (numeric) = 1.999925536104311 absolute error = 4.884981308350689e-15 relative error = 2.442581596245936e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999925536104316 y1[1] (numeric) = 1.999925536104316 absolute error = 4.440892098500626e-16 relative error = 2.220528723859942e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.583999999999936 y2[1] (analytic) = 1.999912832773331 y2[1] (numeric) = 1.999912832773326 absolute error = 4.884981308350689e-15 relative error = 2.442597111383379e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999912832773331 y1[1] (numeric) = 1.99991283277333 absolute error = 4.440892098500626e-16 relative error = 2.220542828530345e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.584999999999936 y2[1] (analytic) = 1.999899129529596 y2[1] (numeric) = 1.999899129529591 absolute error = 5.10702591327572e-15 relative error = 2.55364175016015e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999899129529596 y1[1] (numeric) = 1.999899129529596 absolute error = 6.661338147750939e-16 relative error = 3.330837065426283e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.585999999999936 y2[1] (analytic) = 1.999884426386816 y2[1] (numeric) = 1.999884426386811 absolute error = 5.329070518200751e-15 relative error = 2.664689242982288e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999884426386816 y1[1] (numeric) = 1.999884426386815 absolute error = 6.661338147750939e-16 relative error = 3.33086155372786e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.586999999999936 y2[1] (analytic) = 1.999868723359692 y2[1] (numeric) = 1.999868723359687 absolute error = 5.329070518200751e-15 relative error = 2.664710166199382e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999868723359692 y1[1] (numeric) = 1.999868723359691 absolute error = 6.661338147750939e-16 relative error = 3.330887707749228e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.587999999999936 y2[1] (analytic) = 1.999852020463928 y2[1] (numeric) = 1.999852020463923 absolute error = 5.329070518200751e-15 relative error = 2.66473242203416e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999852020463928 y1[1] (numeric) = 1.999852020463928 absolute error = 6.661338147750939e-16 relative error = 3.3309155275427e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.588999999999936 y2[1] (analytic) = 1.999834317716227 y2[1] (numeric) = 1.999834317716222 absolute error = 5.551115123125783e-15 relative error = 2.775787510969934e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999834317716227 y1[1] (numeric) = 1.999834317716227 absolute error = 8.881784197001252e-16 relative error = 4.441260017551894e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.589999999999936 y2[1] (analytic) = 1.999815615134292 y2[1] (numeric) = 1.999815615134287 absolute error = 5.551115123125783e-15 relative error = 2.775813470559891e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999815615134292 y1[1] (numeric) = 1.999815615134291 absolute error = 8.881784197001252e-16 relative error = 4.441301552895826e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.590999999999936 y2[1] (analytic) = 1.999795912736825 y2[1] (numeric) = 1.999795912736819 absolute error = 5.773159728050814e-15 relative error = 2.886874451178343e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999795912736825 y1[1] (numeric) = 1.999795912736824 absolute error = 1.110223024625157e-15 relative error = 5.551681636881428e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.591999999999935 y2[1] (analytic) = 1.999775210543528 y2[1] (numeric) = 1.999775210543523 absolute error = 5.773159728050814e-15 relative error = 2.88690433685379e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999775210543528 y1[1] (numeric) = 1.999775210543527 absolute error = 1.110223024625157e-15 relative error = 5.551739109334212e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.592999999999935 y2[1] (analytic) = 1.999753508575105 y2[1] (numeric) = 1.999753508575099 absolute error = 5.773159728050814e-15 relative error = 2.886935666468412e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999753508575105 y1[1] (numeric) = 1.999753508575103 absolute error = 1.110223024625157e-15 relative error = 5.5517993585931e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.593999999999935 y2[1] (analytic) = 1.999730806853256 y2[1] (numeric) = 1.99973080685325 absolute error = 5.773159728050814e-15 relative error = 2.886968440084876e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999730806853256 y1[1] (numeric) = 1.999730806853254 absolute error = 1.110223024625157e-15 relative error = 5.551862384778608e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.594999999999935 y2[1] (analytic) = 1.999707105400683 y2[1] (numeric) = 1.999707105400677 absolute error = 5.773159728050814e-15 relative error = 2.887002657768744e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999707105400683 y1[1] (numeric) = 1.999707105400682 absolute error = 1.110223024625157e-15 relative error = 5.551928188016816e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.595999999999935 y2[1] (analytic) = 1.999682404241088 y2[1] (numeric) = 1.999682404241082 absolute error = 5.995204332975845e-15 relative error = 2.998078254957253e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999682404241088 y1[1] (numeric) = 1.999682404241087 absolute error = 1.110223024625157e-15 relative error = 5.551996768439356e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.596999999999935 y2[1] (analytic) = 1.999656703399173 y2[1] (numeric) = 1.999656703399167 absolute error = 6.217248937900877e-15 relative error = 3.109158150662717e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999656703399173 y1[1] (numeric) = 1.999656703399172 absolute error = 1.110223024625157e-15 relative error = 5.552068126183423e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.597999999999935 y2[1] (analytic) = 1.999630002900637 y2[1] (numeric) = 1.999630002900631 absolute error = 6.217248937900877e-15 relative error = 3.109199666379388e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999630002900637 y1[1] (numeric) = 1.999630002900636 absolute error = 1.110223024625157e-15 relative error = 5.552142261391765e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.598999999999935 y2[1] (analytic) = 1.999602302772182 y2[1] (numeric) = 1.999602302772175 absolute error = 6.439293542825908e-15 relative error = 3.220287121043363e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999602302772182 y1[1] (numeric) = 1.999602302772181 absolute error = 1.332267629550188e-15 relative error = 6.662663009055234e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.599999999999935 y2[1] (analytic) = 1.999573603041507 y2[1] (numeric) = 1.999573603041501 absolute error = 6.439293542825908e-15 relative error = 3.220333341584046e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999573603041507 y1[1] (numeric) = 1.999573603041506 absolute error = 1.332267629550188e-15 relative error = 6.662758637760096e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.600999999999934 y2[1] (analytic) = 1.999543903737313 y2[1] (numeric) = 1.999543903737306 absolute error = 6.661338147750939e-15 relative error = 3.331428799988012e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999543903737313 y1[1] (numeric) = 1.999543903737311 absolute error = 1.554312234475219e-15 relative error = 7.773333866638694e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.601999999999934 y2[1] (analytic) = 1.999513204889298 y2[1] (numeric) = 1.999513204889291 absolute error = 6.661338147750939e-15 relative error = 3.331479947950502e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999513204889298 y1[1] (numeric) = 1.999513204889296 absolute error = 1.554312234475219e-15 relative error = 7.773453211884506e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.602999999999934 y2[1] (analytic) = 1.999481506528161 y2[1] (numeric) = 1.999481506528154 absolute error = 6.661338147750939e-15 relative error = 3.331532762869853e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999481506528161 y1[1] (numeric) = 1.999481506528159 absolute error = 1.554312234475219e-15 relative error = 7.773576446696322e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.603999999999934 y2[1] (analytic) = 1.999448808685601 y2[1] (numeric) = 1.999448808685595 absolute error = 6.661338147750939e-15 relative error = 3.331587244851732e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999448808685601 y1[1] (numeric) = 1.9994488086856 absolute error = 1.554312234475219e-15 relative error = 7.773703571320706e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.604999999999934 y2[1] (analytic) = 1.999415111394316 y2[1] (numeric) = 1.999415111394309 absolute error = 6.883382752675971e-15 relative error = 3.442698173805319e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999415111394316 y1[1] (numeric) = 1.999415111394314 absolute error = 1.77635683940025e-15 relative error = 8.884382384013726e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.605999999999934 y2[1] (analytic) = 1.999380414688003 y2[1] (numeric) = 1.999380414687996 absolute error = 6.883382752675971e-15 relative error = 3.442757917457195e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999380414688003 y1[1] (numeric) = 1.999380414688001 absolute error = 1.77635683940025e-15 relative error = 8.884536561179857e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.606999999999934 y2[1] (analytic) = 1.999344718601358 y2[1] (numeric) = 1.999344718601351 absolute error = 7.105427357601002e-15 relative error = 3.553878073897934e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999344718601358 y1[1] (numeric) = 1.999344718601356 absolute error = 1.998401444325282e-15 relative error = 9.995282082837939e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.607999999999934 y2[1] (analytic) = 1.999308023170078 y2[1] (numeric) = 1.999308023170071 absolute error = 7.105427357601002e-15 relative error = 3.553943302010424e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999308023170078 y1[1] (numeric) = 1.999308023170076 absolute error = 1.998401444325282e-15 relative error = 9.995465536904319e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.608999999999934 y2[1] (analytic) = 1.999270328430858 y2[1] (numeric) = 1.999270328430851 absolute error = 7.105427357601002e-15 relative error = 3.554010308939936e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999270328430858 y1[1] (numeric) = 1.999270328430856 absolute error = 1.998401444325282e-15 relative error = 9.995653993893571e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.609999999999933 y2[1] (analytic) = 1.999231634421393 y2[1] (numeric) = 1.999231634421386 absolute error = 7.327471962526033e-15 relative error = 3.665144066533696e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999231634421393 y1[1] (numeric) = 1.999231634421391 absolute error = 2.220446049250313e-15 relative error = 1.110649717131423e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.610999999999933 y2[1] (analytic) = 1.999191941180377 y2[1] (numeric) = 1.99919194118037 absolute error = 7.327471962526033e-15 relative error = 3.665216836658363e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999191941180377 y1[1] (numeric) = 1.999191941180375 absolute error = 2.220446049250313e-15 relative error = 1.110671768684352e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.611999999999933 y2[1] (analytic) = 1.999151248747503 y2[1] (numeric) = 1.999151248747495 absolute error = 7.327471962526033e-15 relative error = 3.665291441613935e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999151248747503 y1[1] (numeric) = 1.9991512487475 absolute error = 2.220446049250313e-15 relative error = 1.110694376246647e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.612999999999933 y2[1] (analytic) = 1.999109557163463 y2[1] (numeric) = 1.999109557163456 absolute error = 7.549516567451064e-15 relative error = 3.776439635536071e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999109557163463 y1[1] (numeric) = 1.999109557163461 absolute error = 2.442490654175344e-15 relative error = 1.221789293849905e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.613999999999933 y2[1] (analytic) = 1.99906686646995 y2[1] (numeric) = 1.999066866469942 absolute error = 7.549516567451064e-15 relative error = 3.776520282576826e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99906686646995 y1[1] (numeric) = 1.999066866469947 absolute error = 2.442490654175344e-15 relative error = 1.221815385539561e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.614999999999933 y2[1] (analytic) = 1.999023176709653 y2[1] (numeric) = 1.999023176709645 absolute error = 7.771561172376096e-15 relative error = 3.887679374067043e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.999023176709653 y1[1] (numeric) = 1.99902317670965 absolute error = 2.664535259100376e-15 relative error = 1.332918642537272e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.615999999999933 y2[1] (analytic) = 1.998978487926263 y2[1] (numeric) = 1.998978487926255 absolute error = 7.771561172376096e-15 relative error = 3.887766286288704e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998978487926263 y1[1] (numeric) = 1.99897848792626 absolute error = 2.664535259100376e-15 relative error = 1.33294844101327e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.616999999999933 y2[1] (analytic) = 1.998932800164468 y2[1] (numeric) = 1.99893280016446 absolute error = 7.771561172376096e-15 relative error = 3.887855145373906e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998932800164468 y1[1] (numeric) = 1.998932800164465 absolute error = 2.664535259100376e-15 relative error = 1.332978906985339e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.617999999999933 y2[1] (analytic) = 1.998886113469956 y2[1] (numeric) = 1.998886113469948 absolute error = 7.993605777301127e-15 relative error = 3.999030121543377e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998886113469956 y1[1] (numeric) = 1.998886113469953 absolute error = 2.886579864025407e-15 relative error = 1.444094210557331e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.618999999999932 y2[1] (analytic) = 1.998838427889414 y2[1] (numeric) = 1.998838427889406 absolute error = 7.993605777301127e-15 relative error = 3.999125524988843e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998838427889414 y1[1] (numeric) = 1.998838427889411 absolute error = 2.886579864025407e-15 relative error = 1.444128661801527e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.619999999999932 y2[1] (analytic) = 1.998789743470527 y2[1] (numeric) = 1.998789743470519 absolute error = 7.993605777301127e-15 relative error = 3.999222931483386e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998789743470527 y1[1] (numeric) = 1.998789743470524 absolute error = 2.886579864025407e-15 relative error = 1.444163836369e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.620999999999932 y2[1] (analytic) = 1.99874006026198 y2[1] (numeric) = 1.998740060261972 absolute error = 8.215650382226158e-15 relative error = 4.110414628478157e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99874006026198 y1[1] (numeric) = 1.998740060261977 absolute error = 3.108624468950438e-15 relative error = 1.55529202158633e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.621999999999932 y2[1] (analytic) = 1.998689378313456 y2[1] (numeric) = 1.998689378313448 absolute error = 8.215650382226158e-15 relative error = 4.110518858692654e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998689378313456 y1[1] (numeric) = 1.998689378313453 absolute error = 3.108624468950438e-15 relative error = 1.555331460045869e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.622999999999932 y2[1] (analytic) = 1.998637697675637 y2[1] (numeric) = 1.998637697675629 absolute error = 8.215650382226158e-15 relative error = 4.110625148210074e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998637697675637 y1[1] (numeric) = 1.998637697675634 absolute error = 3.108624468950438e-15 relative error = 1.555371677701109e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.623999999999932 y2[1] (analytic) = 1.998585018400204 y2[1] (numeric) = 1.998585018400196 absolute error = 8.215650382226158e-15 relative error = 4.110733497243212e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998585018400204 y1[1] (numeric) = 1.998585018400201 absolute error = 3.108624468950438e-15 relative error = 1.555412674632567e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.624999999999932 y2[1] (analytic) = 1.998531340539835 y2[1] (numeric) = 1.998531340539827 absolute error = 8.43769498715119e-15 relative error = 4.221947795360584e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998531340539835 y1[1] (numeric) = 1.998531340539832 absolute error = 3.33066907387547e-15 relative error = 1.666558340273915e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.625999999999932 y2[1] (analytic) = 1.998476664148209 y2[1] (numeric) = 1.998476664148201 absolute error = 8.43769498715119e-15 relative error = 4.22206330377518e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998476664148209 y1[1] (numeric) = 1.998476664148206 absolute error = 3.33066907387547e-15 relative error = 1.666603935700729e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.626999999999932 y2[1] (analytic) = 1.998420989280002 y2[1] (numeric) = 1.998420989279994 absolute error = 8.43769498715119e-15 relative error = 4.222180928049175e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998420989280002 y1[1] (numeric) = 1.998420989279999 absolute error = 3.33066907387547e-15 relative error = 1.666650366335201e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.627999999999932 y2[1] (analytic) = 1.998364315990889 y2[1] (numeric) = 1.998364315990881 absolute error = 8.659739592076221e-15 relative error = 4.333413843902776e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998364315990889 y1[1] (numeric) = 1.998364315990886 absolute error = 3.552713678800501e-15 relative error = 1.777810807754985e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.628999999999931 y2[1] (analytic) = 1.998306644337543 y2[1] (numeric) = 1.998306644337535 absolute error = 8.659739592076221e-15 relative error = 4.333538907361739e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998306644337543 y1[1] (numeric) = 1.99830664433754 absolute error = 3.552713678800501e-15 relative error = 1.777862115840713e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.629999999999931 y2[1] (analytic) = 1.998247974377636 y2[1] (numeric) = 1.998247974377628 absolute error = 8.659739592076221e-15 relative error = 4.33366614309885e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998247974377636 y1[1] (numeric) = 1.998247974377633 absolute error = 3.552713678800501e-15 relative error = 1.777914315117477e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.630999999999931 y2[1] (analytic) = 1.998188306169838 y2[1] (numeric) = 1.99818830616983 absolute error = 8.881784197001252e-15 relative error = 4.444918514224522e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998188306169838 y1[1] (numeric) = 1.998188306169835 absolute error = 3.774758283725532e-15 relative error = 1.889090368545422e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.631999999999931 y2[1] (analytic) = 1.998127639773817 y2[1] (numeric) = 1.998127639773808 absolute error = 8.881784197001252e-15 relative error = 4.445053469160082e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998127639773817 y1[1] (numeric) = 1.998127639773813 absolute error = 3.774758283725532e-15 relative error = 1.889147724393035e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.632999999999931 y2[1] (analytic) = 1.998065975250239 y2[1] (numeric) = 1.998065975250231 absolute error = 8.881784197001252e-15 relative error = 4.445190652870654e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.998065975250239 y1[1] (numeric) = 1.998065975250236 absolute error = 3.774758283725532e-15 relative error = 1.889206027470028e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.633999999999931 y2[1] (analytic) = 1.99800331266077 y2[1] (numeric) = 1.998003312660761 absolute error = 9.103828801926284e-15 relative error = 4.556463317271774e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99800331266077 y1[1] (numeric) = 1.998003312660766 absolute error = 3.996802888650564e-15 relative error = 2.000398529533949e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.634999999999931 y2[1] (analytic) = 1.99793965206807 y2[1] (numeric) = 1.997939652068061 absolute error = 9.103828801926284e-15 relative error = 4.556608500413362e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99793965206807 y1[1] (numeric) = 1.997939652068066 absolute error = 3.996802888650564e-15 relative error = 2.000462268474159e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.635999999999931 y2[1] (analytic) = 1.997874993535802 y2[1] (numeric) = 1.997874993535793 absolute error = 9.325873406851315e-15 relative error = 4.667896358393553e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.997874993535802 y1[1] (numeric) = 1.997874993535798 absolute error = 4.218847493575595e-15 relative error = 2.111667400225655e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.636999999999931 y2[1] (analytic) = 1.997809337128624 y2[1] (numeric) = 1.997809337128614 absolute error = 9.325873406851315e-15 relative error = 4.668049765076703e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.997809337128624 y1[1] (numeric) = 1.997809337128619 absolute error = 4.218847493575595e-15 relative error = 2.11173679848708e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.63799999999993 y2[1] (analytic) = 1.997742682912191 y2[1] (numeric) = 1.997742682912182 absolute error = 9.325873406851315e-15 relative error = 4.66820551346313e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.997742682912191 y1[1] (numeric) = 1.997742682912187 absolute error = 4.218847493575595e-15 relative error = 2.111807256090464e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.63899999999993 y2[1] (analytic) = 1.997675030953159 y2[1] (numeric) = 1.997675030953149 absolute error = 9.325873406851315e-15 relative error = 4.668363603864851e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.997675030953159 y1[1] (numeric) = 1.997675030953154 absolute error = 4.218847493575595e-15 relative error = 2.111878773176956e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.63999999999993 y2[1] (analytic) = 1.997606381319178 y2[1] (numeric) = 1.997606381319169 absolute error = 9.547918011776346e-15 relative error = 4.779679370803319e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.997606381319178 y1[1] (numeric) = 1.997606381319174 absolute error = 4.218847493575595e-15 relative error = 2.111951349889839e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64099999999993 y2[1] (analytic) = 1.9975367340789 y2[1] (numeric) = 1.997536734078891 absolute error = 9.547918011776346e-15 relative error = 4.779846021794969e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.9975367340789 y1[1] (numeric) = 1.997536734078896 absolute error = 4.218847493575595e-15 relative error = 2.112024986374521e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64199999999993 y2[1] (analytic) = 1.997466089301971 y2[1] (numeric) = 1.997466089301961 absolute error = 9.769962616701378e-15 relative error = 4.891178212750316e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.997466089301971 y1[1] (numeric) = 1.997466089301966 absolute error = 4.440892098500626e-15 relative error = 2.223262823977416e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64299999999993 y2[1] (analytic) = 1.997394447059035 y2[1] (numeric) = 1.997394447059025 absolute error = 9.992007221626409e-15 relative error = 5.002520777174807e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.997394447059035 y1[1] (numeric) = 1.997394447059031 absolute error = 4.662936703425657e-15 relative error = 2.33450969601491e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64399999999993 y2[1] (analytic) = 1.997321807421736 y2[1] (numeric) = 1.997321807421726 absolute error = 9.992007221626409e-15 relative error = 5.002702711449737e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.997321807421736 y1[1] (numeric) = 1.997321807421731 absolute error = 4.662936703425657e-15 relative error = 2.334594598676544e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64499999999993 y2[1] (analytic) = 1.997248170462712 y2[1] (numeric) = 1.997248170462702 absolute error = 9.992007221626409e-15 relative error = 5.00288715713857e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.997248170462712 y1[1] (numeric) = 1.997248170462708 absolute error = 4.662936703425657e-15 relative error = 2.334680673331333e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64599999999993 y2[1] (analytic) = 1.997173536255601 y2[1] (numeric) = 1.997173536255591 absolute error = 9.992007221626409e-15 relative error = 5.003074114610948e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.997173536255601 y1[1] (numeric) = 1.997173536255596 absolute error = 4.662936703425657e-15 relative error = 2.334767920151776e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.646999999999929 y2[1] (analytic) = 1.997097904875037 y2[1] (numeric) = 1.997097904875027 absolute error = 1.021405182655144e-14 relative error = 5.114447219446939e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.997097904875037 y1[1] (numeric) = 1.997097904875032 absolute error = 4.884981308350689e-15 relative error = 2.446039974518101e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.647999999999929 y2[1] (analytic) = 1.997021276396651 y2[1] (numeric) = 1.997021276396641 absolute error = 1.021405182655144e-14 relative error = 5.114643467885974e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.997021276396651 y1[1] (numeric) = 1.997021276396646 absolute error = 4.884981308350689e-15 relative error = 2.446133832467205e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.648999999999929 y2[1] (analytic) = 1.996943650897072 y2[1] (numeric) = 1.996943650897061 absolute error = 1.043609643147647e-14 relative error = 5.226034508679473e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.996943650897072 y1[1] (numeric) = 1.996943650897067 absolute error = 5.10702591327572e-15 relative error = 2.557421142545274e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.649999999999929 y2[1] (analytic) = 1.996865028453924 y2[1] (numeric) = 1.996865028453914 absolute error = 1.043609643147647e-14 relative error = 5.22624027301266e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.996865028453924 y1[1] (numeric) = 1.996865028453919 absolute error = 5.10702591327572e-15 relative error = 2.5575218357296e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.650999999999929 y2[1] (analytic) = 1.996785409145832 y2[1] (numeric) = 1.996785409145821 absolute error = 1.043609643147647e-14 relative error = 5.226448662773802e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.996785409145832 y1[1] (numeric) = 1.996785409145827 absolute error = 5.10702591327572e-15 relative error = 2.557623813697818e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.651999999999929 y2[1] (analytic) = 1.996704793052413 y2[1] (numeric) = 1.996704793052403 absolute error = 1.06581410364015e-14 relative error = 5.3378652034526e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.996704793052413 y1[1] (numeric) = 1.996704793052408 absolute error = 5.10702591327572e-15 relative error = 2.557727076654371e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.652999999999929 y2[1] (analytic) = 1.996623180254285 y2[1] (numeric) = 1.996623180254274 absolute error = 1.06581410364015e-14 relative error = 5.338083390900084e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.996623180254285 y1[1] (numeric) = 1.99662318025428 absolute error = 5.10702591327572e-15 relative error = 2.557831624806291e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.653999999999929 y2[1] (analytic) = 1.996540570833059 y2[1] (numeric) = 1.996540570833048 absolute error = 1.06581410364015e-14 relative error = 5.338304260931889e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.996540570833059 y1[1] (numeric) = 1.996540570833054 absolute error = 5.10702591327572e-15 relative error = 2.557937458363197e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.654999999999929 y2[1] (analytic) = 1.996456964871345 y2[1] (numeric) = 1.996456964871334 absolute error = 1.088018564132653e-14 relative error = 5.44974714344903e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.996456964871345 y1[1] (numeric) = 1.99645696487134 absolute error = 5.329070518200751e-15 relative error = 2.669263906995443e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.655999999999928 y2[1] (analytic) = 1.99637236245275 y2[1] (numeric) = 1.996372362452739 absolute error = 1.088018564132653e-14 relative error = 5.44997809324464e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99637236245275 y1[1] (numeric) = 1.996372362452745 absolute error = 5.329070518200751e-15 relative error = 2.669377025262681e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.656999999999928 y2[1] (analytic) = 1.996286763661875 y2[1] (numeric) = 1.996286763661864 absolute error = 1.110223024625157e-14 relative error = 5.561440594780214e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.996286763661875 y1[1] (numeric) = 1.99628676366187 absolute error = 5.551115123125783e-15 relative error = 2.780720297390107e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.657999999999928 y2[1] (analytic) = 1.99620016858432 y2[1] (numeric) = 1.996200168584308 absolute error = 1.110223024625157e-14 relative error = 5.561681849834293e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99620016858432 y1[1] (numeric) = 1.996200168584314 absolute error = 5.551115123125783e-15 relative error = 2.780840924917147e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.658999999999928 y2[1] (analytic) = 1.996112577306679 y2[1] (numeric) = 1.996112577306667 absolute error = 1.13242748511766e-14 relative error = 5.673164419642229e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.996112577306679 y1[1] (numeric) = 1.996112577306673 absolute error = 5.773159728050814e-15 relative error = 2.892201468837215e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.659999999999928 y2[1] (analytic) = 1.996023989916543 y2[1] (numeric) = 1.996023989916532 absolute error = 1.13242748511766e-14 relative error = 5.673416205608873e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.996023989916543 y1[1] (numeric) = 1.996023989916537 absolute error = 5.773159728050814e-15 relative error = 2.892329830310406e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.660999999999928 y2[1] (analytic) = 1.995934406502501 y2[1] (numeric) = 1.995934406502489 absolute error = 1.154631945610163e-14 relative error = 5.784919293181772e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.995934406502501 y1[1] (numeric) = 1.995934406502495 absolute error = 5.995204332975845e-15 relative error = 3.00370809453669e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.661999999999928 y2[1] (analytic) = 1.995843827154135 y2[1] (numeric) = 1.995843827154123 absolute error = 1.154631945610163e-14 relative error = 5.785181835878148e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.995843827154135 y1[1] (numeric) = 1.995843827154129 absolute error = 5.995204332975845e-15 relative error = 3.003844414782885e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.662999999999928 y2[1] (analytic) = 1.995752251962025 y2[1] (numeric) = 1.995752251962013 absolute error = 1.176836406102666e-14 relative error = 5.896705890952734e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.995752251962025 y1[1] (numeric) = 1.995752251962019 absolute error = 6.217248937900877e-15 relative error = 3.115240848050501e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.663999999999928 y2[1] (analytic) = 1.995659681017746 y2[1] (numeric) = 1.995659681017734 absolute error = 1.176836406102666e-14 relative error = 5.896979416362729e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.995659681017746 y1[1] (numeric) = 1.99565968101774 absolute error = 6.217248937900877e-15 relative error = 3.115385352040687e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.664999999999927 y2[1] (analytic) = 1.995566114413869 y2[1] (numeric) = 1.995566114413857 absolute error = 1.176836406102666e-14 relative error = 5.89725590950076e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.995566114413869 y1[1] (numeric) = 1.995566114413863 absolute error = 6.217248937900877e-15 relative error = 3.115531423887194e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.665999999999927 y2[1] (analytic) = 1.995471552243961 y2[1] (numeric) = 1.995471552243949 absolute error = 1.176836406102666e-14 relative error = 5.897535370921636e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.995471552243961 y1[1] (numeric) = 1.995471552243955 absolute error = 6.217248937900877e-15 relative error = 3.115679063883128e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.666999999999927 y2[1] (analytic) = 1.995375994602583 y2[1] (numeric) = 1.995375994602571 absolute error = 1.176836406102666e-14 relative error = 5.897817801186163e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.995375994602583 y1[1] (numeric) = 1.995375994602577 absolute error = 6.217248937900877e-15 relative error = 3.115828272324765e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.667999999999927 y2[1] (analytic) = 1.995279441585294 y2[1] (numeric) = 1.995279441585282 absolute error = 1.176836406102666e-14 relative error = 5.898103200861146e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.995279441585294 y1[1] (numeric) = 1.995279441585287 absolute error = 6.217248937900877e-15 relative error = 3.115979049511548e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.668999999999927 y2[1] (analytic) = 1.995181893288646 y2[1] (numeric) = 1.995181893288634 absolute error = 1.199040866595169e-14 relative error = 6.009681977510319e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.995181893288646 y1[1] (numeric) = 1.995181893288639 absolute error = 6.439293542825908e-15 relative error = 3.227421802737023e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.669999999999927 y2[1] (analytic) = 1.995083349810187 y2[1] (numeric) = 1.995083349810175 absolute error = 1.199040866595169e-14 relative error = 6.009978814715917e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.995083349810187 y1[1] (numeric) = 1.995083349810181 absolute error = 6.439293542825908e-15 relative error = 3.2275812153104e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.670999999999927 y2[1] (analytic) = 1.994983811248462 y2[1] (numeric) = 1.99498381124845 absolute error = 1.199040866595169e-14 relative error = 6.01027867912777e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994983811248462 y1[1] (numeric) = 1.994983811248456 absolute error = 6.439293542825908e-15 relative error = 3.227742253605654e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.671999999999927 y2[1] (analytic) = 1.994883277703009 y2[1] (numeric) = 1.994883277702997 absolute error = 1.199040866595169e-14 relative error = 6.010581571347846e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994883277703009 y1[1] (numeric) = 1.994883277703002 absolute error = 6.439293542825908e-15 relative error = 3.227904917946065e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.672999999999927 y2[1] (analytic) = 1.99478174927436 y2[1] (numeric) = 1.994781749274348 absolute error = 1.221245327087672e-14 relative error = 6.12220022331728e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99478174927436 y1[1] (numeric) = 1.994781749274354 absolute error = 6.661338147750939e-15 relative error = 3.339381939991244e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.673999999999926 y2[1] (analytic) = 1.994679226064045 y2[1] (numeric) = 1.994679226064033 absolute error = 1.221245327087672e-14 relative error = 6.122514894274335e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994679226064045 y1[1] (numeric) = 1.994679226064039 absolute error = 6.661338147750939e-15 relative error = 3.339553578695092e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.674999999999926 y2[1] (analytic) = 1.994575708174588 y2[1] (numeric) = 1.994575708174575 absolute error = 1.243449787580175e-14 relative error = 6.234156881004863e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994575708174588 y1[1] (numeric) = 1.994575708174581 absolute error = 6.883382752675971e-15 relative error = 3.451051130556264e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.675999999999926 y2[1] (analytic) = 1.994471195709504 y2[1] (numeric) = 1.994471195709492 absolute error = 1.243449787580175e-14 relative error = 6.23448355762208e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994471195709504 y1[1] (numeric) = 1.994471195709497 absolute error = 6.883382752675971e-15 relative error = 3.451231969397937e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.676999999999926 y2[1] (analytic) = 1.994365688773308 y2[1] (numeric) = 1.994365688773296 absolute error = 1.265654248072678e-14 relative error = 6.346149330573147e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994365688773308 y1[1] (numeric) = 1.994365688773301 absolute error = 7.105427357601002e-15 relative error = 3.562750501374399e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.677999999999926 y2[1] (analytic) = 1.994259187471506 y2[1] (numeric) = 1.994259187471494 absolute error = 1.265654248072678e-14 relative error = 6.346488239963352e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994259187471506 y1[1] (numeric) = 1.994259187471499 absolute error = 7.105427357601002e-15 relative error = 3.562940766295215e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.678999999999926 y2[1] (analytic) = 1.9941516919106 y2[1] (numeric) = 1.994151691910587 absolute error = 1.265654248072678e-14 relative error = 6.346830350002378e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.9941516919106 y1[1] (numeric) = 1.994151691910593 absolute error = 7.105427357601002e-15 relative error = 3.56313282807151e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.679999999999926 y2[1] (analytic) = 1.994043202198084 y2[1] (numeric) = 1.994043202198071 absolute error = 1.265654248072678e-14 relative error = 6.347175661377426e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.994043202198084 y1[1] (numeric) = 1.994043202198077 absolute error = 7.105427357601002e-15 relative error = 3.563326687089081e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.680999999999926 y2[1] (analytic) = 1.993933718442449 y2[1] (numeric) = 1.993933718442436 absolute error = 1.265654248072678e-14 relative error = 6.347524174782188e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993933718442449 y1[1] (numeric) = 1.993933718442442 absolute error = 7.105427357601002e-15 relative error = 3.563522343737368e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.681999999999926 y2[1] (analytic) = 1.993823240753178 y2[1] (numeric) = 1.993823240753166 absolute error = 1.265654248072678e-14 relative error = 6.34787589091684e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993823240753178 y1[1] (numeric) = 1.993823240753171 absolute error = 7.105427357601002e-15 relative error = 3.563719798409454e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.682999999999925 y2[1] (analytic) = 1.99371176924075 y2[1] (numeric) = 1.993711769240737 absolute error = 1.265654248072678e-14 relative error = 6.348230810488058e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99371176924075 y1[1] (numeric) = 1.993711769240743 absolute error = 7.105427357601002e-15 relative error = 3.563919051502067e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.683999999999925 y2[1] (analytic) = 1.993599304016635 y2[1] (numeric) = 1.993599304016622 absolute error = 1.287858708565182e-14 relative error = 6.459967687440744e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993599304016635 y1[1] (numeric) = 1.993599304016628 absolute error = 7.327471962526033e-15 relative error = 3.67549885664732e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.684999999999925 y2[1] (analytic) = 1.993485845193299 y2[1] (numeric) = 1.993485845193286 absolute error = 1.287858708565182e-14 relative error = 6.460335355129166e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993485845193299 y1[1] (numeric) = 1.993485845193291 absolute error = 7.327471962526033e-15 relative error = 3.675708046883836e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.685999999999925 y2[1] (analytic) = 1.9933713928842 y2[1] (numeric) = 1.993371392884187 absolute error = 1.310063169057685e-14 relative error = 6.572097772318084e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.9933713928842 y1[1] (numeric) = 1.993371392884193 absolute error = 7.549516567451064e-15 relative error = 3.787310580657879e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.686999999999925 y2[1] (analytic) = 1.993255947203791 y2[1] (numeric) = 1.993255947203778 absolute error = 1.332267629550188e-14 relative error = 6.68387635526255e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993255947203791 y1[1] (numeric) = 1.993255947203784 absolute error = 7.771561172376096e-15 relative error = 3.898927873903154e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.687999999999925 y2[1] (analytic) = 1.993139508267518 y2[1] (numeric) = 1.993139508267505 absolute error = 1.354472090042691e-14 relative error = 6.795671273507736e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.993139508267518 y1[1] (numeric) = 1.99313950826751 absolute error = 7.993605777301127e-15 relative error = 4.010560095840632e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.688999999999925 y2[1] (analytic) = 1.99302207619182 y2[1] (numeric) = 1.993022076191806 absolute error = 1.354472090042691e-14 relative error = 6.796071685421356e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99302207619182 y1[1] (numeric) = 1.993022076191812 absolute error = 7.993605777301127e-15 relative error = 4.010796404510964e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.689999999999925 y2[1] (analytic) = 1.992903651094127 y2[1] (numeric) = 1.992903651094114 absolute error = 1.354472090042691e-14 relative error = 6.796475531062779e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992903651094127 y1[1] (numeric) = 1.992903651094119 absolute error = 7.993605777301127e-15 relative error = 4.011034739643607e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.690999999999925 y2[1] (analytic) = 1.992784233092867 y2[1] (numeric) = 1.992784233092853 absolute error = 1.376676550535194e-14 relative error = 6.90830711962502e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992784233092867 y1[1] (numeric) = 1.992784233092859 absolute error = 8.215650382226158e-15 relative error = 4.122699410098803e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.691999999999924 y2[1] (analytic) = 1.992663822307456 y2[1] (numeric) = 1.992663822307442 absolute error = 1.376676550535194e-14 relative error = 6.908724568206574e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992663822307456 y1[1] (numeric) = 1.992663822307448 absolute error = 8.215650382226158e-15 relative error = 4.122948532639407e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.692999999999924 y2[1] (analytic) = 1.992542418858306 y2[1] (numeric) = 1.992542418858292 absolute error = 1.398881011027697e-14 relative error = 7.020583340098893e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992542418858306 y1[1] (numeric) = 1.992542418858297 absolute error = 8.43769498715119e-15 relative error = 4.23463757021838e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.693999999999924 y2[1] (analytic) = 1.992420022866819 y2[1] (numeric) = 1.992420022866805 absolute error = 1.4210854715202e-14 relative error = 7.132459296787497e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992420022866819 y1[1] (numeric) = 1.992420022866811 absolute error = 8.659739592076221e-15 relative error = 4.346342383979881e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.694999999999924 y2[1] (analytic) = 1.992296634455393 y2[1] (numeric) = 1.992296634455378 absolute error = 1.443289932012704e-14 relative error = 7.244352608201018e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992296634455393 y1[1] (numeric) = 1.992296634455384 absolute error = 8.881784197001252e-15 relative error = 4.458063143508319e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.695999999999924 y2[1] (analytic) = 1.992172253747414 y2[1] (numeric) = 1.9921722537474 absolute error = 1.443289932012704e-14 relative error = 7.244804907295416e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992172253747414 y1[1] (numeric) = 1.992172253747405 absolute error = 8.881784197001252e-15 relative error = 4.458341481412564e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.696999999999924 y2[1] (analytic) = 1.992046880867265 y2[1] (numeric) = 1.99204688086725 absolute error = 1.443289932012704e-14 relative error = 7.245260871492881e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.992046880867265 y1[1] (numeric) = 1.992046880867256 absolute error = 8.881784197001252e-15 relative error = 4.45862207476485e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.697999999999924 y2[1] (analytic) = 1.991920515940317 y2[1] (numeric) = 1.991920515940302 absolute error = 1.443289932012704e-14 relative error = 7.245720501710763e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991920515940317 y1[1] (numeric) = 1.991920515940308 absolute error = 8.881784197001252e-15 relative error = 4.4589049241297e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.698999999999924 y2[1] (analytic) = 1.991793159092936 y2[1] (numeric) = 1.991793159092921 absolute error = 1.465494392505207e-14 relative error = 7.357663549625775e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991793159092936 y1[1] (numeric) = 1.991793159092927 absolute error = 9.103828801926284e-15 relative error = 4.570669780828132e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.699999999999924 y2[1] (analytic) = 1.991664810452479 y2[1] (numeric) = 1.991664810452464 absolute error = 1.48769885299771e-14 relative error = 7.469624633573384e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991664810452479 y1[1] (numeric) = 1.991664810452469 absolute error = 9.325873406851315e-15 relative error = 4.682451262837046e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.700999999999923 y2[1] (analytic) = 1.991535470147293 y2[1] (numeric) = 1.991535470147278 absolute error = 1.48769885299771e-14 relative error = 7.470109748473022e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991535470147293 y1[1] (numeric) = 1.991535470147284 absolute error = 9.325873406851315e-15 relative error = 4.682755364714432e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.701999999999923 y2[1] (analytic) = 1.99140513830672 y2[1] (numeric) = 1.991405138306705 absolute error = 1.509903313490213e-14 relative error = 7.582100118382111e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.99140513830672 y1[1] (numeric) = 1.991405138306711 absolute error = 9.325873406851315e-15 relative error = 4.683061837824245e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.702999999999923 y2[1] (analytic) = 1.991273815061092 y2[1] (numeric) = 1.991273815061077 absolute error = 1.532107773982716e-14 relative error = 7.694108978858395e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991273815061092 y1[1] (numeric) = 1.991273815061082 absolute error = 9.547918011776346e-15 relative error = 4.794879508563928e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.703999999999923 y2[1] (analytic) = 1.991141500541731 y2[1] (numeric) = 1.991141500541716 absolute error = 1.532107773982716e-14 relative error = 7.694620264636515e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991141500541731 y1[1] (numeric) = 1.991141500541721 absolute error = 9.547918011776346e-15 relative error = 4.7951981359329e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.704999999999923 y2[1] (analytic) = 1.991008194880952 y2[1] (numeric) = 1.991008194880937 absolute error = 1.554312234475219e-14 relative error = 7.806659151235466e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.991008194880952 y1[1] (numeric) = 1.991008194880942 absolute error = 9.769962616701378e-15 relative error = 4.907042895062293e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.705999999999923 y2[1] (analytic) = 1.990873898212061 y2[1] (numeric) = 1.990873898212045 absolute error = 1.576516694967722e-14 relative error = 7.91871698344903e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.990873898212061 y1[1] (numeric) = 1.990873898212051 absolute error = 9.992007221626409e-15 relative error = 5.018905130355019e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.706999999999923 y2[1] (analytic) = 1.990738610669354 y2[1] (numeric) = 1.990738610669338 absolute error = 1.576516694967722e-14 relative error = 7.919255127309977e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.990738610669354 y1[1] (numeric) = 1.990738610669344 absolute error = 9.992007221626409e-15 relative error = 5.019246207449986e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.707999999999923 y2[1] (analytic) = 1.990602332388119 y2[1] (numeric) = 1.990602332388103 absolute error = 1.598721155460225e-14 relative error = 8.031343726711326e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.990602332388119 y1[1] (numeric) = 1.990602332388109 absolute error = 1.021405182655144e-14 relative error = 5.131136269843347e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.708999999999923 y2[1] (analytic) = 1.990465063504635 y2[1] (numeric) = 1.990465063504618 absolute error = 1.620925615952729e-14 relative error = 8.143451727300083e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.990465063504635 y1[1] (numeric) = 1.990465063504624 absolute error = 1.043609643147647e-14 relative error = 5.243044262782245e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.709999999999922 y2[1] (analytic) = 1.990326804156169 y2[1] (numeric) = 1.990326804156153 absolute error = 1.620925615952729e-14 relative error = 8.144017417481076e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.990326804156169 y1[1] (numeric) = 1.990326804156158 absolute error = 1.043609643147647e-14 relative error = 5.243408474268638e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.710999999999922 y2[1] (analytic) = 1.990187554480982 y2[1] (numeric) = 1.990187554480965 absolute error = 1.643130076445232e-14 relative error = 8.256156927248706e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.990187554480982 y1[1] (numeric) = 1.990187554480971 absolute error = 1.06581410364015e-14 relative error = 5.355345033891053e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.711999999999922 y2[1] (analytic) = 1.990047314618322 y2[1] (numeric) = 1.990047314618306 absolute error = 1.643130076445232e-14 relative error = 8.256738743723654e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.990047314618322 y1[1] (numeric) = 1.990047314618312 absolute error = 1.06581410364015e-14 relative error = 5.355722428361289e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.712999999999922 y2[1] (analytic) = 1.989906084708431 y2[1] (numeric) = 1.989906084708414 absolute error = 1.643130076445232e-14 relative error = 8.257324750509469e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.989906084708431 y1[1] (numeric) = 1.98990608470842 absolute error = 1.06581410364015e-14 relative error = 5.356102540871007e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.713999999999922 y2[1] (analytic) = 1.989763864892537 y2[1] (numeric) = 1.98976386489252 absolute error = 1.665334536937735e-14 relative error = 8.369508394040898e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.989763864892537 y1[1] (numeric) = 1.989763864892526 absolute error = 1.088018564132653e-14 relative error = 5.468078817440053e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.714999999999922 y2[1] (analytic) = 1.989620655312861 y2[1] (numeric) = 1.989620655312844 absolute error = 1.665334536937735e-14 relative error = 8.370110817309879e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.989620655312861 y1[1] (numeric) = 1.98962065531285 absolute error = 1.088018564132653e-14 relative error = 5.468472400642454e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.715999999999922 y2[1] (analytic) = 1.989476456112612 y2[1] (numeric) = 1.989476456112595 absolute error = 1.687538997430238e-14 relative error = 8.482327057680528e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.989476456112612 y1[1] (numeric) = 1.989476456112601 absolute error = 1.088018564132653e-14 relative error = 5.468868760872972e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.716999999999922 y2[1] (analytic) = 1.98933126743599 y2[1] (numeric) = 1.989331267435973 absolute error = 1.687538997430238e-14 relative error = 8.482946128953546e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.98933126743599 y1[1] (numeric) = 1.989331267435979 absolute error = 1.088018564132653e-14 relative error = 5.469267898930576e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.717999999999922 y2[1] (analytic) = 1.989185089428182 y2[1] (numeric) = 1.989185089428165 absolute error = 1.687538997430238e-14 relative error = 8.483569509941097e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.989185089428182 y1[1] (numeric) = 1.989185089428171 absolute error = 1.088018564132653e-14 relative error = 5.469669815619918e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.718999999999921 y2[1] (analytic) = 1.989037922235368 y2[1] (numeric) = 1.98903792223535 absolute error = 1.709743457922741e-14 relative error = 8.595831375609254e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.989037922235368 y1[1] (numeric) = 1.989037922235356 absolute error = 1.110223024625157e-14 relative error = 5.581708685460554e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.719999999999921 y2[1] (analytic) = 1.988889766004713 y2[1] (numeric) = 1.988889766004696 absolute error = 1.709743457922741e-14 relative error = 8.596471695649971e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.988889766004713 y1[1] (numeric) = 1.988889766004702 absolute error = 1.110223024625157e-14 relative error = 5.582124477694786e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.720999999999921 y2[1] (analytic) = 1.988740620884375 y2[1] (numeric) = 1.988740620884358 absolute error = 1.731947918415244e-14 relative error = 8.708767248114349e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.988740620884375 y1[1] (numeric) = 1.988740620884364 absolute error = 1.13242748511766e-14 relative error = 5.694193969920921e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.721999999999921 y2[1] (analytic) = 1.988590487023499 y2[1] (numeric) = 1.988590487023481 absolute error = 1.731947918415244e-14 relative error = 8.709424739367056e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.988590487023499 y1[1] (numeric) = 1.988590487023487 absolute error = 1.13242748511766e-14 relative error = 5.694623868047691e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.722999999999921 y2[1] (analytic) = 1.988439364572218 y2[1] (numeric) = 1.9884393645722 absolute error = 1.731947918415244e-14 relative error = 8.710086660288212e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.988439364572218 y1[1] (numeric) = 1.988439364572206 absolute error = 1.13242748511766e-14 relative error = 5.695056662496138e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.723999999999921 y2[1] (analytic) = 1.988287253681654 y2[1] (numeric) = 1.988287253681637 absolute error = 1.754152378907747e-14 relative error = 8.822429332882529e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.988287253681654 y1[1] (numeric) = 1.988287253681643 absolute error = 1.154631945610163e-14 relative error = 5.807168674808753e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.724999999999921 y2[1] (analytic) = 1.98813415450392 y2[1] (numeric) = 1.988134154503902 absolute error = 1.754152378907747e-14 relative error = 8.823108716953984e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.98813415450392 y1[1] (numeric) = 1.988134154503908 absolute error = 1.154631945610163e-14 relative error = 5.807615864324141e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.725999999999921 y2[1] (analytic) = 1.987980067192113 y2[1] (numeric) = 1.987980067192095 absolute error = 1.77635683940025e-14 relative error = 8.935486168677908e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.987980067192113 y1[1] (numeric) = 1.987980067192101 absolute error = 1.176836406102666e-14 relative error = 5.919759586749114e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.726999999999921 y2[1] (analytic) = 1.987824991900321 y2[1] (numeric) = 1.987824991900303 absolute error = 1.798561299892754e-14 relative error = 9.047885539326903e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.987824991900321 y1[1] (numeric) = 1.987824991900309 absolute error = 1.199040866595169e-14 relative error = 6.031923692884602e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.72799999999992 y2[1] (analytic) = 1.98766892878362 y2[1] (numeric) = 1.987668928783602 absolute error = 1.798561299892754e-14 relative error = 9.048595939935563e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.98766892878362 y1[1] (numeric) = 1.987668928783608 absolute error = 1.199040866595169e-14 relative error = 6.032397293290375e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.72899999999992 y2[1] (analytic) = 1.987511877998072 y2[1] (numeric) = 1.987511877998055 absolute error = 1.798561299892754e-14 relative error = 9.049310949046302e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.987511877998072 y1[1] (numeric) = 1.987511877998061 absolute error = 1.199040866595169e-14 relative error = 6.032873966030868e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.72999999999992 y2[1] (analytic) = 1.987353839700729 y2[1] (numeric) = 1.987353839700711 absolute error = 1.798561299892754e-14 relative error = 9.050030568102531e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.987353839700729 y1[1] (numeric) = 1.987353839700717 absolute error = 1.199040866595169e-14 relative error = 6.033353712068355e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73099999999992 y2[1] (analytic) = 1.987194814049628 y2[1] (numeric) = 1.98719481404961 absolute error = 1.798561299892754e-14 relative error = 9.05075479855714e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.987194814049628 y1[1] (numeric) = 1.987194814049616 absolute error = 1.199040866595169e-14 relative error = 6.033836532371426e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73199999999992 y2[1] (analytic) = 1.987034801203796 y2[1] (numeric) = 1.987034801203778 absolute error = 1.820765760385257e-14 relative error = 9.163230353500558e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.987034801203796 y1[1] (numeric) = 1.987034801203784 absolute error = 1.221245327087672e-14 relative error = 6.146069139543057e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73299999999992 y2[1] (analytic) = 1.986873801323244 y2[1] (numeric) = 1.986873801323226 absolute error = 1.820765760385257e-14 relative error = 9.163972866181231e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.986873801323244 y1[1] (numeric) = 1.986873801323232 absolute error = 1.221245327087672e-14 relative error = 6.14656716634107e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73399999999992 y2[1] (analytic) = 1.986711814568973 y2[1] (numeric) = 1.986711814568955 absolute error = 1.84297022087776e-14 relative error = 9.27648493034004e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.986711814568973 y1[1] (numeric) = 1.986711814568961 absolute error = 1.243449787580175e-14 relative error = 6.258833206012557e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73499999999992 y2[1] (analytic) = 1.986548841102971 y2[1] (numeric) = 1.986548841102952 absolute error = 1.865174681370263e-14 relative error = 9.389020006851086e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.986548841102971 y1[1] (numeric) = 1.986548841102958 absolute error = 1.265654248072678e-14 relative error = 6.371120718934665e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73599999999992 y2[1] (analytic) = 1.986384881088209 y2[1] (numeric) = 1.98638488108819 absolute error = 1.887379141862766e-14 relative error = 9.501578268300129e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.986384881088209 y1[1] (numeric) = 1.986384881088196 absolute error = 1.287858708565182e-14 relative error = 6.48342987719303e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.736999999999919 y2[1] (analytic) = 1.986219934688648 y2[1] (numeric) = 1.986219934688629 absolute error = 1.887379141862766e-14 relative error = 9.502367330527393e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.986219934688648 y1[1] (numeric) = 1.986219934688635 absolute error = 1.287858708565182e-14 relative error = 6.483968296124574e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.737999999999919 y2[1] (analytic) = 1.986054002069235 y2[1] (numeric) = 1.986054002069216 absolute error = 1.887379141862766e-14 relative error = 9.503161242827935e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.986054002069235 y1[1] (numeric) = 1.986054002069222 absolute error = 1.287858708565182e-14 relative error = 6.484510024517885e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.738999999999919 y2[1] (analytic) = 1.985887083395901 y2[1] (numeric) = 1.985887083395882 absolute error = 1.909583602355269e-14 relative error = 9.615771301003922e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.985887083395901 y1[1] (numeric) = 1.985887083395888 absolute error = 1.310063169057685e-14 relative error = 6.596866357665482e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.739999999999919 y2[1] (analytic) = 1.985719178835567 y2[1] (numeric) = 1.985719178835548 absolute error = 1.909583602355269e-14 relative error = 9.616584372595203e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.985719178835567 y1[1] (numeric) = 1.985719178835554 absolute error = 1.310063169057685e-14 relative error = 6.597424162594383e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.740999999999919 y2[1] (analytic) = 1.985550288556136 y2[1] (numeric) = 1.985550288556117 absolute error = 1.931788062847772e-14 relative error = 9.729232616175848e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.985550288556136 y1[1] (numeric) = 1.985550288556123 absolute error = 1.332267629550188e-14 relative error = 6.709815597362653e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.741999999999919 y2[1] (analytic) = 1.985380412726498 y2[1] (numeric) = 1.985380412726479 absolute error = 1.931788062847772e-14 relative error = 9.730065082060882e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.985380412726498 y1[1] (numeric) = 1.985380412726485 absolute error = 1.332267629550188e-14 relative error = 6.710389711766125e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.742999999999919 y2[1] (analytic) = 1.98520955151653 y2[1] (numeric) = 1.985209551516511 absolute error = 1.953992523340276e-14 relative error = 9.842751974710136e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.98520955151653 y1[1] (numeric) = 1.985209551516517 absolute error = 1.354472090042691e-14 relative error = 6.822816709742254e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.743999999999919 y2[1] (analytic) = 1.985037705097093 y2[1] (numeric) = 1.985037705097073 absolute error = 1.953992523340276e-14 relative error = 9.843604070204304e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.985037705097093 y1[1] (numeric) = 1.985037705097079 absolute error = 1.354472090042691e-14 relative error = 6.823407366846165e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.744999999999919 y2[1] (analytic) = 1.984864873640032 y2[1] (numeric) = 1.984864873640013 absolute error = 1.953992523340276e-14 relative error = 9.844461198796168e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.984864873640032 y1[1] (numeric) = 1.984864873640019 absolute error = 1.354472090042691e-14 relative error = 6.824001512801889e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.745999999999919 y2[1] (analytic) = 1.98469105731818 y2[1] (numeric) = 1.98469105731816 absolute error = 1.976196983832779e-14 relative error = 9.957202036790153e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 1.98469105731818 y1[1] (numeric) = 1.984691057318166 absolute error = 1.376676550535194e-14 relative error = 6.936477823381904e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.746999999999918 y2[1] (analytic) = 1.984516256305353 y2[1] (numeric) = 1.984516256305333 absolute error = 1.998401444325282e-14 relative error = 1.006996762045064e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.984516256305353 y1[1] (numeric) = 1.984516256305339 absolute error = 1.398881011027697e-14 relative error = 7.048977334315444e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.747999999999918 y2[1] (analytic) = 1.984340470776351 y2[1] (numeric) = 1.984340470776331 absolute error = 1.998401444325282e-14 relative error = 1.007085968237814e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.984340470776351 y1[1] (numeric) = 1.984340470776337 absolute error = 1.398881011027697e-14 relative error = 7.0496017776647e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.748999999999918 y2[1] (analytic) = 1.984163700906961 y2[1] (numeric) = 1.984163700906941 absolute error = 1.998401444325282e-14 relative error = 1.007175689894847e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.984163700906961 y1[1] (numeric) = 1.984163700906947 absolute error = 1.398881011027697e-14 relative error = 7.050229829263932e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.749999999999918 y2[1] (analytic) = 1.983985946873952 y2[1] (numeric) = 1.983985946873931 absolute error = 2.020605904817785e-14 relative error = 1.018457770833273e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.983985946873952 y1[1] (numeric) = 1.983985946873937 absolute error = 1.4210854715202e-14 relative error = 7.162779926739502e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.750999999999918 y2[1] (analytic) = 1.983807208855077 y2[1] (numeric) = 1.983807208855057 absolute error = 2.020605904817785e-14 relative error = 1.018549532332804e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.983807208855077 y1[1] (numeric) = 1.983807208855063 absolute error = 1.4210854715202e-14 relative error = 7.163425282340602e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.751999999999918 y2[1] (analytic) = 1.983627487029076 y2[1] (numeric) = 1.983627487029056 absolute error = 2.042810365310288e-14 relative error = 1.029835681683284e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.983627487029076 y1[1] (numeric) = 1.983627487029062 absolute error = 1.443289932012704e-14 relative error = 7.276012968414505e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.752999999999918 y2[1] (analytic) = 1.98344678157567 y2[1] (numeric) = 1.98344678157565 absolute error = 2.042810365310288e-14 relative error = 1.029929506698162e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.98344678157567 y1[1] (numeric) = 1.983446781575656 absolute error = 1.443289932012704e-14 relative error = 7.276675862541365e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.753999999999918 y2[1] (analytic) = 1.983265092675565 y2[1] (numeric) = 1.983265092675544 absolute error = 2.065014825802791e-14 relative error = 1.041219771088161e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.983265092675565 y1[1] (numeric) = 1.98326509267555 absolute error = 1.465494392505207e-14 relative error = 7.389301601270818e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.754999999999918 y2[1] (analytic) = 1.983082420510448 y2[1] (numeric) = 1.983082420510427 absolute error = 2.065014825802791e-14 relative error = 1.041315683324576e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.983082420510448 y1[1] (numeric) = 1.983082420510433 absolute error = 1.465494392505207e-14 relative error = 7.389982268755055e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.755999999999917 y2[1] (analytic) = 1.982898765262993 y2[1] (numeric) = 1.982898765262972 absolute error = 2.087219286295294e-14 relative error = 1.052610109431615e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.982898765262993 y1[1] (numeric) = 1.982898765262978 absolute error = 1.48769885299771e-14 relative error = 7.502646524672152e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.756999999999917 y2[1] (analytic) = 1.982714127116855 y2[1] (numeric) = 1.982714127116834 absolute error = 2.109423746787797e-14 relative error = 1.063907155317038e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.982714127116855 y1[1] (numeric) = 1.98271412711684 absolute error = 1.509903313490213e-14 relative error = 7.615335427532484e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.757999999999917 y2[1] (analytic) = 1.982528506256671 y2[1] (numeric) = 1.98252850625665 absolute error = 2.131628207280301e-14 relative error = 1.075206838415228e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.982528506256671 y1[1] (numeric) = 1.982528506256656 absolute error = 1.532107773982716e-14 relative error = 7.728049151109453e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.758999999999917 y2[1] (analytic) = 1.982341902868063 y2[1] (numeric) = 1.982341902868042 absolute error = 2.153832667772804e-14 relative error = 1.086509176170179e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.982341902868063 y1[1] (numeric) = 1.982341902868048 absolute error = 1.532107773982716e-14 relative error = 7.728776613994055e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.759999999999917 y2[1] (analytic) = 1.982154317137634 y2[1] (numeric) = 1.982154317137612 absolute error = 2.176037128265307e-14 relative error = 1.097814186035552e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.982154317137634 y1[1] (numeric) = 1.982154317137619 absolute error = 1.532107773982716e-14 relative error = 7.729508044536028e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.760999999999917 y2[1] (analytic) = 1.98196574925297 y2[1] (numeric) = 1.981965749252948 absolute error = 2.19824158875781e-14 relative error = 1.10912188547474e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.98196574925297 y1[1] (numeric) = 1.981965749252954 absolute error = 1.554312234475219e-14 relative error = 7.842275957902203e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.761999999999917 y2[1] (analytic) = 1.981776199402638 y2[1] (numeric) = 1.981776199402616 absolute error = 2.220446049250313e-14 relative error = 1.120432291960927e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.981776199402638 y1[1] (numeric) = 1.981776199402623 absolute error = 1.554312234475219e-14 relative error = 7.84302604372649e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.762999999999917 y2[1] (analytic) = 1.981585667776189 y2[1] (numeric) = 1.981585667776167 absolute error = 2.220446049250313e-14 relative error = 1.120540022749651e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.981585667776189 y1[1] (numeric) = 1.981585667776173 absolute error = 1.554312234475219e-14 relative error = 7.843780159247557e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.763999999999917 y2[1] (analytic) = 1.981394154564154 y2[1] (numeric) = 1.981394154564131 absolute error = 2.242650509742816e-14 relative error = 1.131854812722071e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.981394154564154 y1[1] (numeric) = 1.981394154564138 absolute error = 1.576516694967722e-14 relative error = 7.95660313893733e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.764999999999916 y2[1] (analytic) = 1.981201659958046 y2[1] (numeric) = 1.981201659958023 absolute error = 2.264854970235319e-14 relative error = 1.143172356459302e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.981201659958046 y1[1] (numeric) = 1.98120165995803 absolute error = 1.598721155460225e-14 relative error = 8.069451927948013e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.765999999999916 y2[1] (analytic) = 1.981008184150359 y2[1] (numeric) = 1.981008184150336 absolute error = 2.287059430727822e-14 relative error = 1.15449267147209e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.981008184150359 y1[1] (numeric) = 1.981008184150343 absolute error = 1.598721155460225e-14 relative error = 8.070240033591309e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.766999999999916 y2[1] (analytic) = 1.980813727334571 y2[1] (numeric) = 1.980813727334548 absolute error = 2.287059430727822e-14 relative error = 1.154606008211253e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.980813727334571 y1[1] (numeric) = 1.980813727334555 absolute error = 1.598721155460225e-14 relative error = 8.071032290408762e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.767999999999916 y2[1] (analytic) = 1.980618289705136 y2[1] (numeric) = 1.980618289705113 absolute error = 2.309263891220326e-14 relative error = 1.165930812223347e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.980618289705136 y1[1] (numeric) = 1.98061828970512 absolute error = 1.620925615952729e-14 relative error = 8.183937431952338e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.768999999999916 y2[1] (analytic) = 1.980421871457494 y2[1] (numeric) = 1.980421871457471 absolute error = 2.331468351712829e-14 relative error = 1.177258434333984e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.980421871457494 y1[1] (numeric) = 1.980421871457478 absolute error = 1.643130076445232e-14 relative error = 8.296868965782365e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.769999999999916 y2[1] (analytic) = 1.980224472788062 y2[1] (numeric) = 1.980224472788039 absolute error = 2.331468351712829e-14 relative error = 1.177375789336767e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.980224472788062 y1[1] (numeric) = 1.980224472788046 absolute error = 1.643130076445232e-14 relative error = 8.297696039135314e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.770999999999916 y2[1] (analytic) = 1.980026093894239 y2[1] (numeric) = 1.980026093894216 absolute error = 2.353672812205332e-14 relative error = 1.188707976861163e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.980026093894239 y1[1] (numeric) = 1.980026093894222 absolute error = 1.665334536937735e-14 relative error = 8.410669647602567e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.771999999999916 y2[1] (analytic) = 1.979826734974404 y2[1] (numeric) = 1.97982673497438 absolute error = 2.353672812205332e-14 relative error = 1.188827673971057e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.979826734974404 y1[1] (numeric) = 1.979826734974387 absolute error = 1.665334536937735e-14 relative error = 8.411516561115966e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.772999999999916 y2[1] (analytic) = 1.979626396227915 y2[1] (numeric) = 1.979626396227891 absolute error = 2.375877272697835e-14 relative error = 1.200164474077006e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.979626396227915 y1[1] (numeric) = 1.979626396227898 absolute error = 1.687538997430238e-14 relative error = 8.524532713070325e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.773999999999915 y2[1] (analytic) = 1.979425077855112 y2[1] (numeric) = 1.979425077855088 absolute error = 2.398081733190338e-14 relative error = 1.21150416856842e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.979425077855112 y1[1] (numeric) = 1.979425077855095 absolute error = 1.709743457922741e-14 relative error = 8.637576016645219e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.774999999999915 y2[1] (analytic) = 1.979222780057312 y2[1] (numeric) = 1.979222780057288 absolute error = 2.398081733190338e-14 relative error = 1.211627997289369e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.979222780057312 y1[1] (numeric) = 1.979222780057295 absolute error = 1.709743457922741e-14 relative error = 8.638458869563092e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.775999999999915 y2[1] (analytic) = 1.979019503036815 y2[1] (numeric) = 1.97901950303679 absolute error = 2.420286193682841e-14 relative error = 1.222972381004281e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.979019503036815 y1[1] (numeric) = 1.979019503036797 absolute error = 1.731947918415244e-14 relative error = 8.751545478746229e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.776999999999915 y2[1] (analytic) = 1.978815246996895 y2[1] (numeric) = 1.978815246996871 absolute error = 2.442490654175344e-14 relative error = 1.234319706138375e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.978815246996895 y1[1] (numeric) = 1.978815246996878 absolute error = 1.754152378907747e-14 relative error = 8.86465970772106e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.777999999999915 y2[1] (analytic) = 1.97861001214181 y2[1] (numeric) = 1.978610012141786 absolute error = 2.442490654175344e-14 relative error = 1.234447738153004e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.97861001214181 y1[1] (numeric) = 1.978610012141793 absolute error = 1.754152378907747e-14 relative error = 8.86557921037157e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.778999999999915 y2[1] (analytic) = 1.978403798676795 y2[1] (numeric) = 1.97840379867677 absolute error = 2.464695114667848e-14 relative error = 1.245799829294857e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.978403798676795 y1[1] (numeric) = 1.978403798676777 absolute error = 1.77635683940025e-14 relative error = 8.978737508431401e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.779999999999915 y2[1] (analytic) = 1.978196606808062 y2[1] (numeric) = 1.978196606808037 absolute error = 2.486899575160351e-14 relative error = 1.25715490897192e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.978196606808062 y1[1] (numeric) = 1.978196606808044 absolute error = 1.798561299892754e-14 relative error = 9.091923895243351e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.780999999999915 y2[1] (analytic) = 1.977988436742804 y2[1] (numeric) = 1.97798843674278 absolute error = 2.486899575160351e-14 relative error = 1.257287216125278e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.977988436742804 y1[1] (numeric) = 1.977988436742786 absolute error = 1.798561299892754e-14 relative error = 9.092880759477455e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.781999999999915 y2[1] (analytic) = 1.977779288689191 y2[1] (numeric) = 1.977779288689166 absolute error = 2.509104035652854e-14 relative error = 1.268647138739029e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.977779288689191 y1[1] (numeric) = 1.977779288689173 absolute error = 1.820765760385257e-14 relative error = 9.206111980230118e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.782999999999914 y2[1] (analytic) = 1.977569162856371 y2[1] (numeric) = 1.977569162856346 absolute error = 2.531308496145357e-14 relative error = 1.280010097087665e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.977569162856371 y1[1] (numeric) = 1.977569162856353 absolute error = 1.84297022087776e-14 relative error = 9.319371759497915e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.783999999999914 y2[1] (analytic) = 1.97735805945447 y2[1] (numeric) = 1.977358059454444 absolute error = 2.55351295663786e-14 relative error = 1.291376108858274e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.97735805945447 y1[1] (numeric) = 1.977358059454451 absolute error = 1.84297022087776e-14 relative error = 9.320366698716236e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.784999999999914 y2[1] (analytic) = 1.97714597869459 y2[1] (numeric) = 1.977145978694564 absolute error = 2.575717417130363e-14 relative error = 1.302745191749058e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.97714597869459 y1[1] (numeric) = 1.977145978694571 absolute error = 1.865174681370263e-14 relative error = 9.433672078182836e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.785999999999914 y2[1] (analytic) = 1.976932920788813 y2[1] (numeric) = 1.976932920788787 absolute error = 2.575717417130363e-14 relative error = 1.30288559113206e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.976932920788813 y1[1] (numeric) = 1.976932920788794 absolute error = 1.865174681370263e-14 relative error = 9.434688763370092e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.786999999999914 y2[1] (analytic) = 1.976718885950197 y2[1] (numeric) = 1.976718885950171 absolute error = 2.575717417130363e-14 relative error = 1.303026664761303e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.976718885950197 y1[1] (numeric) = 1.976718885950178 absolute error = 1.865174681370263e-14 relative error = 9.435710331030126e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.787999999999914 y2[1] (analytic) = 1.976503874392776 y2[1] (numeric) = 1.97650387439275 absolute error = 2.597921877622866e-14 relative error = 1.314402623380136e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.976503874392776 y1[1] (numeric) = 1.976503874392757 absolute error = 1.865174681370263e-14 relative error = 9.436736783241998e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.788999999999914 y2[1] (analytic) = 1.976287886331562 y2[1] (numeric) = 1.976287886331536 absolute error = 2.620126338115369e-14 relative error = 1.325781712389544e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.976287886331562 y1[1] (numeric) = 1.976287886331543 absolute error = 1.887379141862766e-14 relative error = 9.550122504500948e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.789999999999914 y2[1] (analytic) = 1.976070921982543 y2[1] (numeric) = 1.976070921982517 absolute error = 2.642330798607873e-14 relative error = 1.337163949539264e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.976070921982543 y1[1] (numeric) = 1.976070921982524 absolute error = 1.909583602355269e-14 relative error = 9.663537786586279e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.790999999999914 y2[1] (analytic) = 1.975852981562684 y2[1] (numeric) = 1.975852981562657 absolute error = 2.664535259100376e-14 relative error = 1.348549352590505e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.975852981562684 y1[1] (numeric) = 1.975852981562664 absolute error = 1.931788062847772e-14 relative error = 9.776982806281161e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.791999999999913 y2[1] (analytic) = 1.975634065289924 y2[1] (numeric) = 1.975634065289897 absolute error = 2.686739719592879e-14 relative error = 1.359937939316004e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.975634065289924 y1[1] (numeric) = 1.975634065289904 absolute error = 1.953992523340276e-14 relative error = 9.890457740480031e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.792999999999913 y2[1] (analytic) = 1.97541417338318 y2[1] (numeric) = 1.975414173383153 absolute error = 2.686739719592879e-14 relative error = 1.360089319897635e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.97541417338318 y1[1] (numeric) = 1.97541417338316 absolute error = 1.953992523340276e-14 relative error = 9.891558690164621e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.793999999999913 y2[1] (analytic) = 1.975193306062344 y2[1] (numeric) = 1.975193306062317 absolute error = 2.686739719592879e-14 relative error = 1.360241405915374e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.975193306062344 y1[1] (numeric) = 1.975193306062325 absolute error = 1.953992523340276e-14 relative error = 9.892664770293631e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.794999999999913 y2[1] (analytic) = 1.974971463548284 y2[1] (numeric) = 1.974971463548256 absolute error = 2.708944180085382e-14 relative error = 1.371637124932643e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.974971463548284 y1[1] (numeric) = 1.974971463548264 absolute error = 1.976196983832779e-14 relative error = 1.000620525565617e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.795999999999913 y2[1] (analytic) = 1.974748646062841 y2[1] (numeric) = 1.974748646062813 absolute error = 2.708944180085382e-14 relative error = 1.37179189133075e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.974748646062841 y1[1] (numeric) = 1.974748646062821 absolute error = 1.976196983832779e-14 relative error = 1.000733428921613e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.796999999999913 y2[1] (analytic) = 1.974524853828833 y2[1] (numeric) = 1.974524853828806 absolute error = 2.708944180085382e-14 relative error = 1.371947369936836e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.974524853828833 y1[1] (numeric) = 1.974524853828813 absolute error = 1.976196983832779e-14 relative error = 1.000846851839167e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.797999999999913 y2[1] (analytic) = 1.974300087070052 y2[1] (numeric) = 1.974300087070025 absolute error = 2.731148640577885e-14 relative error = 1.383350311568405e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.974300087070052 y1[1] (numeric) = 1.974300087070032 absolute error = 1.998401444325282e-14 relative error = 1.012207545050052e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.798999999999913 y2[1] (analytic) = 1.974074346011266 y2[1] (numeric) = 1.974074346011239 absolute error = 2.753353101070388e-14 relative error = 1.394756538239657e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.974074346011266 y1[1] (numeric) = 1.974074346011246 absolute error = 2.020605904817785e-14 relative error = 1.023571330482329e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.799999999999913 y2[1] (analytic) = 1.973847630878215 y2[1] (numeric) = 1.973847630878187 absolute error = 2.775557561562891e-14 relative error = 1.406166067807359e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.973847630878215 y1[1] (numeric) = 1.973847630878195 absolute error = 2.042810365310288e-14 relative error = 1.034938225906216e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.800999999999912 y2[1] (analytic) = 1.973619941897614 y2[1] (numeric) = 1.973619941897586 absolute error = 2.775557561562891e-14 relative error = 1.40632829180588e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.973619941897614 y1[1] (numeric) = 1.973619941897594 absolute error = 2.042810365310288e-14 relative error = 1.035057622769127e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.801999999999912 y2[1] (analytic) = 1.973391279297153 y2[1] (numeric) = 1.973391279297125 absolute error = 2.797762022055394e-14 relative error = 1.417743177142169e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.973391279297153 y1[1] (numeric) = 1.973391279297132 absolute error = 2.065014825802791e-14 relative error = 1.046429487890648e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.802999999999912 y2[1] (analytic) = 1.973161643305493 y2[1] (numeric) = 1.973161643305465 absolute error = 2.797762022055394e-14 relative error = 1.417908173690478e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.973161643305493 y1[1] (numeric) = 1.973161643305472 absolute error = 2.065014825802791e-14 relative error = 1.046551271057258e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.803999999999912 y2[1] (analytic) = 1.972931034152271 y2[1] (numeric) = 1.972931034152243 absolute error = 2.819966482547898e-14 relative error = 1.429328462948316e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.972931034152271 y1[1] (numeric) = 1.97293103415225 absolute error = 2.087219286295294e-14 relative error = 1.057928153678281e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.804999999999912 y2[1] (analytic) = 1.972699452068096 y2[1] (numeric) = 1.972699452068068 absolute error = 2.819966482547898e-14 relative error = 1.429496256812746e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.972699452068096 y1[1] (numeric) = 1.972699452068075 absolute error = 2.087219286295294e-14 relative error = 1.05805234756219e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.805999999999912 y2[1] (analytic) = 1.97246689728455 y2[1] (numeric) = 1.972466897284521 absolute error = 2.842170943040401e-14 relative error = 1.440921998211049e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.97246689728455 y1[1] (numeric) = 1.972466897284529 absolute error = 2.109423746787797e-14 relative error = 1.069434295547263e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.806999999999912 y2[1] (analytic) = 1.972233370034187 y2[1] (numeric) = 1.972233370034159 absolute error = 2.842170943040401e-14 relative error = 1.441092614202717e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.972233370034187 y1[1] (numeric) = 1.972233370034166 absolute error = 2.109423746787797e-14 relative error = 1.069560924603579e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.807999999999912 y2[1] (analytic) = 1.971998870550536 y2[1] (numeric) = 1.971998870550508 absolute error = 2.864375403532904e-14 relative error = 1.452523856026975e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.971998870550536 y1[1] (numeric) = 1.971998870550515 absolute error = 2.131628207280301e-14 relative error = 1.080947985880539e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.808999999999912 y2[1] (analytic) = 1.971763399068095 y2[1] (numeric) = 1.971763399068067 absolute error = 2.886579864025407e-14 relative error = 1.463958538529357e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.971763399068095 y1[1] (numeric) = 1.971763399068074 absolute error = 2.153832667772804e-14 relative error = 1.092338294133444e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.809999999999911 y2[1] (analytic) = 1.971526955822336 y2[1] (numeric) = 1.971526955822307 absolute error = 2.886579864025407e-14 relative error = 1.464134109605109e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.971526955822336 y1[1] (numeric) = 1.971526955822315 absolute error = 2.153832667772804e-14 relative error = 1.092469297166889e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.810999999999911 y2[1] (analytic) = 1.971289541049702 y2[1] (numeric) = 1.971289541049673 absolute error = 2.90878432451791e-14 relative error = 1.475574370961759e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.971289541049702 y1[1] (numeric) = 1.971289541049681 absolute error = 2.153832667772804e-14 relative error = 1.092600870101456e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.811999999999911 y2[1] (analytic) = 1.971051154987609 y2[1] (numeric) = 1.971051154987579 absolute error = 2.930988785010413e-14 relative error = 1.487018121063854e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.971051154987609 y1[1] (numeric) = 1.971051154987587 absolute error = 2.176037128265307e-14 relative error = 1.103998302001952e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.812999999999911 y2[1] (analytic) = 1.970811797874441 y2[1] (numeric) = 1.970811797874411 absolute error = 2.930988785010413e-14 relative error = 1.487198720939028e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.970811797874441 y1[1] (numeric) = 1.970811797874419 absolute error = 2.176037128265307e-14 relative error = 1.10413238372746e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.813999999999911 y2[1] (analytic) = 1.970571469949556 y2[1] (numeric) = 1.970571469949526 absolute error = 2.930988785010413e-14 relative error = 1.487380097452362e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.970571469949556 y1[1] (numeric) = 1.970571469949534 absolute error = 2.176037128265307e-14 relative error = 1.104267042047965e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.814999999999911 y2[1] (analytic) = 1.970330171453281 y2[1] (numeric) = 1.970330171453252 absolute error = 2.930988785010413e-14 relative error = 1.487562250974702e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.970330171453281 y1[1] (numeric) = 1.97033017145326 absolute error = 2.176037128265307e-14 relative error = 1.104402277238794e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.815999999999911 y2[1] (analytic) = 1.970087902626917 y2[1] (numeric) = 1.970087902626887 absolute error = 2.953193245502916e-14 relative error = 1.499015978710963e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.970087902626917 y1[1] (numeric) = 1.970087902626895 absolute error = 2.19824158875781e-14 relative error = 1.115808886408912e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.816999999999911 y2[1] (analytic) = 1.96984466371273 y2[1] (numeric) = 1.969844663712701 absolute error = 2.97539770599542e-14 relative error = 1.510473267667431e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.96984466371273 y1[1] (numeric) = 1.969844663712708 absolute error = 2.19824158875781e-14 relative error = 1.11594666790355e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.817999999999911 y2[1] (analytic) = 1.969600454953961 y2[1] (numeric) = 1.969600454953931 absolute error = 2.997602166487923e-14 relative error = 1.521934135904731e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.969600454953961 y1[1] (numeric) = 1.969600454953939 absolute error = 2.220446049250313e-14 relative error = 1.12735861918869e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.81899999999991 y2[1] (analytic) = 1.969355276594818 y2[1] (numeric) = 1.969355276594788 absolute error = 2.997602166487923e-14 relative error = 1.522123611779704e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.969355276594818 y1[1] (numeric) = 1.969355276594795 absolute error = 2.220446049250313e-14 relative error = 1.12749897168867e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.81999999999991 y2[1] (analytic) = 1.969109128880479 y2[1] (numeric) = 1.969109128880448 absolute error = 3.019806626980426e-14 relative error = 1.533590283387347e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.969109128880479 y1[1] (numeric) = 1.969109128880456 absolute error = 2.242650509742816e-14 relative error = 1.138916313397957e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82099999999991 y2[1] (analytic) = 1.968862012057091 y2[1] (numeric) = 1.968862012057061 absolute error = 3.019806626980426e-14 relative error = 1.533782768161236e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.968862012057091 y1[1] (numeric) = 1.968862012057069 absolute error = 2.242650509742816e-14 relative error = 1.139059261649153e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82199999999991 y2[1] (analytic) = 1.968613926371772 y2[1] (numeric) = 1.968613926371742 absolute error = 3.042011087472929e-14 relative error = 1.545255291919765e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.968613926371772 y1[1] (numeric) = 1.96861392637175 absolute error = 2.264854970235319e-14 relative error = 1.150482042159242e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82299999999991 y2[1] (analytic) = 1.968364872072608 y2[1] (numeric) = 1.968364872072577 absolute error = 3.042011087472929e-14 relative error = 1.545450810788863e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.968364872072608 y1[1] (numeric) = 1.968364872072585 absolute error = 2.264854970235319e-14 relative error = 1.150627610952292e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82399999999991 y2[1] (analytic) = 1.968114849408652 y2[1] (numeric) = 1.968114849408622 absolute error = 3.064215547965432e-14 relative error = 1.556929235550516e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.968114849408652 y1[1] (numeric) = 1.968114849408629 absolute error = 2.287059430727822e-14 relative error = 1.162055878707994e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82499999999991 y2[1] (analytic) = 1.967863858629928 y2[1] (numeric) = 1.967863858629897 absolute error = 3.086420008457935e-14 relative error = 1.568411348642163e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.967863858629928 y1[1] (numeric) = 1.967863858629905 absolute error = 2.287059430727822e-14 relative error = 1.162204092878725e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82599999999991 y2[1] (analytic) = 1.967611899987425 y2[1] (numeric) = 1.967611899987394 absolute error = 3.086420008457935e-14 relative error = 1.568612188449185e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.967611899987425 y1[1] (numeric) = 1.967611899987402 absolute error = 2.287059430727822e-14 relative error = 1.162352916620619e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82699999999991 y2[1] (analytic) = 1.967358973733103 y2[1] (numeric) = 1.967358973733072 absolute error = 3.108624468950438e-14 relative error = 1.580100281877771e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.967358973733103 y1[1] (numeric) = 1.967358973733081 absolute error = 2.287059430727822e-14 relative error = 1.162502350238646e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.827999999999909 y2[1] (analytic) = 1.967105080119889 y2[1] (numeric) = 1.967105080119857 absolute error = 3.130828929442941e-14 relative error = 1.591592112228253e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.967105080119889 y1[1] (numeric) = 1.967105080119866 absolute error = 2.309263891220326e-14 relative error = 1.173940281359847e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.828999999999909 y2[1] (analytic) = 1.966850219401674 y2[1] (numeric) = 1.966850219401643 absolute error = 3.153033389935445e-14 relative error = 1.603087697696987e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.966850219401674 y1[1] (numeric) = 1.966850219401651 absolute error = 2.309263891220326e-14 relative error = 1.174092398313287e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.829999999999909 y2[1] (analytic) = 1.966594391833321 y2[1] (numeric) = 1.966594391833289 absolute error = 3.175237850427948e-14 relative error = 1.614587056494091e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.966594391833321 y1[1] (numeric) = 1.966594391833298 absolute error = 2.309263891220326e-14 relative error = 1.174245131995702e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.830999999999909 y2[1] (analytic) = 1.966337597670656 y2[1] (numeric) = 1.966337597670624 absolute error = 3.197442310920451e-14 relative error = 1.626090206843511e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.966337597670656 y1[1] (numeric) = 1.966337597670633 absolute error = 2.331468351712829e-14 relative error = 1.185690775823394e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.831999999999909 y2[1] (analytic) = 1.966079837170475 y2[1] (numeric) = 1.966079837170442 absolute error = 3.219646771412954e-14 relative error = 1.637597166983095e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.966079837170475 y1[1] (numeric) = 1.966079837170451 absolute error = 2.353672812205332e-14 relative error = 1.197139997932469e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.832999999999909 y2[1] (analytic) = 1.965821110590536 y2[1] (numeric) = 1.965821110590504 absolute error = 3.241851231905457e-14 relative error = 1.649107955164648e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.965821110590536 y1[1] (numeric) = 1.965821110590513 absolute error = 2.375877272697835e-14 relative error = 1.208592816456283e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.833999999999909 y2[1] (analytic) = 1.965561418189568 y2[1] (numeric) = 1.965561418189535 absolute error = 3.241851231905457e-14 relative error = 1.649325837343434e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.965561418189568 y1[1] (numeric) = 1.965561418189544 absolute error = 2.375877272697835e-14 relative error = 1.208752497231147e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.834999999999909 y2[1] (analytic) = 1.965300760227262 y2[1] (numeric) = 1.965300760227229 absolute error = 3.26405569239796e-14 relative error = 1.660842838131561e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.965300760227262 y1[1] (numeric) = 1.965300760227238 absolute error = 2.398081733190338e-14 relative error = 1.220211064749719e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.835999999999909 y2[1] (analytic) = 1.965039136964275 y2[1] (numeric) = 1.965039136964243 absolute error = 3.26405569239796e-14 relative error = 1.661063961016315e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.965039136964275 y1[1] (numeric) = 1.965039136964251 absolute error = 2.398081733190338e-14 relative error = 1.220373522379333e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.836999999999908 y2[1] (analytic) = 1.964776548662233 y2[1] (numeric) = 1.9647765486622 absolute error = 3.286260152890463e-14 relative error = 1.672587223787863e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.964776548662233 y1[1] (numeric) = 1.964776548662209 absolute error = 2.420286193682841e-14 relative error = 1.23183788778971e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.837999999999908 y2[1] (analytic) = 1.964512995583722 y2[1] (numeric) = 1.964512995583689 absolute error = 3.286260152890463e-14 relative error = 1.672811612994195e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.964512995583722 y1[1] (numeric) = 1.964512995583698 absolute error = 2.420286193682841e-14 relative error = 1.232003147407887e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.838999999999908 y2[1] (analytic) = 1.964248477992296 y2[1] (numeric) = 1.964248477992263 absolute error = 3.308464613382966e-14 relative error = 1.684341187202866e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.964248477992296 y1[1] (numeric) = 1.964248477992272 absolute error = 2.442490654175344e-14 relative error = 1.243473359679968e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.839999999999908 y2[1] (analytic) = 1.963982996152473 y2[1] (numeric) = 1.963982996152439 absolute error = 3.33066907387547e-14 relative error = 1.69587469973029e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.963982996152473 y1[1] (numeric) = 1.963982996152448 absolute error = 2.464695114667848e-14 relative error = 1.254947277800415e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.840999999999908 y2[1] (analytic) = 1.963716550329733 y2[1] (numeric) = 1.9637165503297 absolute error = 3.352873534367973e-14 relative error = 1.707412168932926e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.963716550329733 y1[1] (numeric) = 1.963716550329708 absolute error = 2.464695114667848e-14 relative error = 1.255117554646058e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.841999999999908 y2[1] (analytic) = 1.963449140790524 y2[1] (numeric) = 1.96344914079049 absolute error = 3.375077994860476e-14 relative error = 1.718953613181751e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.963449140790524 y1[1] (numeric) = 1.963449140790499 absolute error = 2.486899575160351e-14 relative error = 1.266597399186554e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.842999999999908 y2[1] (analytic) = 1.963180767802254 y2[1] (numeric) = 1.96318076780222 absolute error = 3.397282455352979e-14 relative error = 1.730499050862329e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.963180767802254 y1[1] (numeric) = 1.963180767802229 absolute error = 2.509104035652854e-14 relative error = 1.278080998349302e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.843999999999908 y2[1] (analytic) = 1.962911431633296 y2[1] (numeric) = 1.962911431633262 absolute error = 3.397282455352979e-14 relative error = 1.730736497125687e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.962911431633296 y1[1] (numeric) = 1.962911431633271 absolute error = 2.509104035652854e-14 relative error = 1.278256367158187e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.844999999999908 y2[1] (analytic) = 1.962641132552987 y2[1] (numeric) = 1.962641132552953 absolute error = 3.397282455352979e-14 relative error = 1.730974857810008e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.962641132552987 y1[1] (numeric) = 1.962641132552962 absolute error = 2.509104035652854e-14 relative error = 1.278432411323731e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.845999999999907 y2[1] (analytic) = 1.962369870831626 y2[1] (numeric) = 1.962369870831592 absolute error = 3.419486915845482e-14 relative error = 1.742529258460511e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.962369870831626 y1[1] (numeric) = 1.962369870831601 absolute error = 2.531308496145357e-14 relative error = 1.289924256262976e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.846999999999907 y2[1] (analytic) = 1.962097646740474 y2[1] (numeric) = 1.96209764674044 absolute error = 3.441691376337985e-14 relative error = 1.754087714266148e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.962097646740474 y1[1] (numeric) = 1.962097646740449 absolute error = 2.531308496145357e-14 relative error = 1.290103222105425e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.847999999999907 y2[1] (analytic) = 1.961824460551756 y2[1] (numeric) = 1.961824460551721 absolute error = 3.463895836830488e-14 relative error = 1.765650243679947e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.961824460551756 y1[1] (numeric) = 1.96182446055173 absolute error = 2.55351295663786e-14 relative error = 1.30160114117432e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.848999999999907 y2[1] (analytic) = 1.961550312538657 y2[1] (numeric) = 1.961550312538622 absolute error = 3.486100297322992e-14 relative error = 1.777216865169901e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.961550312538657 y1[1] (numeric) = 1.961550312538631 absolute error = 2.575717417130363e-14 relative error = 1.313102906749736e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.849999999999907 y2[1] (analytic) = 1.961275202975326 y2[1] (numeric) = 1.961275202975291 absolute error = 3.486100297322992e-14 relative error = 1.7774661567303e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.961275202975326 y1[1] (numeric) = 1.9612752029753 absolute error = 2.575717417130363e-14 relative error = 1.313287096692451e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.850999999999907 y2[1] (analytic) = 1.960999132136871 y2[1] (numeric) = 1.960999132136837 absolute error = 3.486100297322992e-14 relative error = 1.777716389667261e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.960999132136871 y1[1] (numeric) = 1.960999132136846 absolute error = 2.575717417130363e-14 relative error = 1.313471982174537e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.851999999999907 y2[1] (analytic) = 1.960722100299365 y2[1] (numeric) = 1.96072210029933 absolute error = 3.508304757815495e-14 relative error = 1.789292198664891e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.960722100299365 y1[1] (numeric) = 1.960722100299339 absolute error = 2.597921877622866e-14 relative error = 1.324982197745521e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.852999999999907 y2[1] (analytic) = 1.960444107739839 y2[1] (numeric) = 1.960444107739804 absolute error = 3.530509218307998e-14 relative error = 1.800872161756378e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.960444107739839 y1[1] (numeric) = 1.960444107739813 absolute error = 2.597921877622866e-14 relative error = 1.325170081292429e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.853999999999907 y2[1] (analytic) = 1.960165154736285 y2[1] (numeric) = 1.960165154736249 absolute error = 3.530509218307998e-14 relative error = 1.801128445619667e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.960165154736285 y1[1] (numeric) = 1.960165154736259 absolute error = 2.597921877622866e-14 relative error = 1.325358667531453e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.854999999999907 y2[1] (analytic) = 1.959885241567656 y2[1] (numeric) = 1.95988524156762 absolute error = 3.574918139293004e-14 relative error = 1.824044624385012e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.959885241567656 y1[1] (numeric) = 1.95988524156763 absolute error = 2.620126338115369e-14 relative error = 1.336877426567897e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.855999999999906 y2[1] (analytic) = 1.959604368513866 y2[1] (numeric) = 1.95960436851383 absolute error = 3.597122599785507e-14 relative error = 1.835637161042619e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.959604368513866 y1[1] (numeric) = 1.959604368513839 absolute error = 2.620126338115369e-14 relative error = 1.337069043228575e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.856999999999906 y2[1] (analytic) = 1.959322535855786 y2[1] (numeric) = 1.95932253585575 absolute error = 3.597122599785507e-14 relative error = 1.835901202562531e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.959322535855786 y1[1] (numeric) = 1.95932253585576 absolute error = 2.620126338115369e-14 relative error = 1.33726136976777e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.857999999999906 y2[1] (analytic) = 1.959039743875252 y2[1] (numeric) = 1.959039743875215 absolute error = 3.61932706027801e-14 relative error = 1.84750057858371e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.959039743875252 y1[1] (numeric) = 1.959039743875225 absolute error = 2.642330798607873e-14 relative error = 1.348788765959887e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.858999999999906 y2[1] (analytic) = 1.958755992855053 y2[1] (numeric) = 1.958755992855016 absolute error = 3.641531520770513e-14 relative error = 1.85910421413066e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.958755992855053 y1[1] (numeric) = 1.958755992855026 absolute error = 2.664535259100376e-14 relative error = 1.360320156680971e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.859999999999906 y2[1] (analytic) = 1.958471283078941 y2[1] (numeric) = 1.958471283078905 absolute error = 3.641531520770513e-14 relative error = 1.859374478570658e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.958471283078941 y1[1] (numeric) = 1.958471283078914 absolute error = 2.664535259100376e-14 relative error = 1.360517911149262e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.860999999999906 y2[1] (analytic) = 1.958185614831626 y2[1] (numeric) = 1.958185614831589 absolute error = 3.641531520770513e-14 relative error = 1.85964573183918e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.958185614831626 y1[1] (numeric) = 1.958185614831599 absolute error = 2.664535259100376e-14 relative error = 1.36071638915062e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.861999999999906 y2[1] (analytic) = 1.957898988398776 y2[1] (numeric) = 1.957898988398739 absolute error = 3.663735981263017e-14 relative error = 1.87125893775517e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.957898988398776 y1[1] (numeric) = 1.957898988398749 absolute error = 2.686739719592879e-14 relative error = 1.372256554353792e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.862999999999906 y2[1] (analytic) = 1.957611404067017 y2[1] (numeric) = 1.957611404066981 absolute error = 3.663735981263017e-14 relative error = 1.871533836414855e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.957611404067017 y1[1] (numeric) = 1.957611404066991 absolute error = 2.686739719592879e-14 relative error = 1.372458146704227e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.863999999999906 y2[1] (analytic) = 1.957322862123935 y2[1] (numeric) = 1.957322862123898 absolute error = 3.68594044175552e-14 relative error = 1.883154033032559e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.957322862123935 y1[1] (numeric) = 1.957322862123908 absolute error = 2.708944180085382e-14 relative error = 1.384004771264893e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.864999999999905 y2[1] (analytic) = 1.957033362858069 y2[1] (numeric) = 1.957033362858033 absolute error = 3.68594044175552e-14 relative error = 1.883432603505818e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.957033362858069 y1[1] (numeric) = 1.957033362858042 absolute error = 2.708944180085382e-14 relative error = 1.384209503781384e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.865999999999905 y2[1] (analytic) = 1.956742906558921 y2[1] (numeric) = 1.956742906558884 absolute error = 3.708144902248023e-14 relative error = 1.895059841442876e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.956742906558921 y1[1] (numeric) = 1.956742906558894 absolute error = 2.731148640577885e-14 relative error = 1.395762637709424e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.866999999999905 y2[1] (analytic) = 1.956451493516946 y2[1] (numeric) = 1.956451493516909 absolute error = 3.730349362740526e-14 relative error = 1.906691464164437e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.956451493516946 y1[1] (numeric) = 1.956451493516919 absolute error = 2.753353101070388e-14 relative error = 1.407319890216608e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.867999999999905 y2[1] (analytic) = 1.956159124023557 y2[1] (numeric) = 1.95615912402352 absolute error = 3.730349362740526e-14 relative error = 1.906976440172054e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.956159124023557 y1[1] (numeric) = 1.95615912402353 absolute error = 2.753353101070388e-14 relative error = 1.407530229650801e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.868999999999905 y2[1] (analytic) = 1.955865798371124 y2[1] (numeric) = 1.955865798371087 absolute error = 3.752553823233029e-14 relative error = 1.918615186357988e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.955865798371124 y1[1] (numeric) = 1.955865798371096 absolute error = 2.775557561562891e-14 relative error = 1.419094072749991e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.869999999999905 y2[1] (analytic) = 1.955571516852972 y2[1] (numeric) = 1.955571516852934 absolute error = 3.752553823233029e-14 relative error = 1.918903906553044e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.955571516852972 y1[1] (numeric) = 1.955571516852944 absolute error = 2.775557561562891e-14 relative error = 1.419307623190121e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.870999999999905 y2[1] (analytic) = 1.955276279763383 y2[1] (numeric) = 1.955276279763345 absolute error = 3.774758283725532e-14 relative error = 1.930549827046607e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.955276279763383 y1[1] (numeric) = 1.955276279763355 absolute error = 2.775557561562891e-14 relative error = 1.419521931651917e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.871999999999905 y2[1] (analytic) = 1.954980087397594 y2[1] (numeric) = 1.954980087397555 absolute error = 3.819167204710538e-14 relative error = 1.953558110044226e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.954980087397594 y1[1] (numeric) = 1.954980087397566 absolute error = 2.797762022055394e-14 relative error = 1.431094894567282e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.872999999999905 y2[1] (analytic) = 1.954682940051796 y2[1] (numeric) = 1.954682940051758 absolute error = 3.819167204710538e-14 relative error = 1.953855086395411e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.954682940051796 y1[1] (numeric) = 1.954682940051768 absolute error = 2.797762022055394e-14 relative error = 1.431312447010592e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.873999999999904 y2[1] (analytic) = 1.954384838023139 y2[1] (numeric) = 1.9543848380231 absolute error = 3.841371665203042e-14 relative error = 1.965514462897999e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.954384838023139 y1[1] (numeric) = 1.95438483802311 absolute error = 2.819966482547898e-14 relative error = 1.442892120162115e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.874999999999904 y2[1] (analytic) = 1.954085781609723 y2[1] (numeric) = 1.954085781609684 absolute error = 3.863576125695545e-14 relative error = 1.977178362411928e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.954085781609723 y1[1] (numeric) = 1.954085781609694 absolute error = 2.842170943040401e-14 relative error = 1.454476036716821e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.875999999999904 y2[1] (analytic) = 1.953785771110604 y2[1] (numeric) = 1.953785771110566 absolute error = 3.863576125695545e-14 relative error = 1.977481964923588e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.953785771110604 y1[1] (numeric) = 1.953785771110576 absolute error = 2.842170943040401e-14 relative error = 1.454699376495513e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.876999999999904 y2[1] (analytic) = 1.953484806825794 y2[1] (numeric) = 1.953484806825756 absolute error = 3.885780586188048e-14 relative error = 1.989153216145064e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.953484806825794 y1[1] (numeric) = 1.953484806825766 absolute error = 2.864375403532904e-14 relative error = 1.466290085044076e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.877999999999904 y2[1] (analytic) = 1.953182889056257 y2[1] (numeric) = 1.953182889056218 absolute error = 3.885780586188048e-14 relative error = 1.989460694111235e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.953182889056257 y1[1] (numeric) = 1.953182889056228 absolute error = 2.864375403532904e-14 relative error = 1.466516740230567e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.878999999999904 y2[1] (analytic) = 1.95288001810391 y2[1] (numeric) = 1.952880018103871 absolute error = 3.907985046680551e-14 relative error = 2.001139348271324e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.95288001810391 y1[1] (numeric) = 1.952880018103881 absolute error = 2.886579864025407e-14 relative error = 1.478114291336774e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.879999999999904 y2[1] (analytic) = 1.952576194271625 y2[1] (numeric) = 1.952576194271586 absolute error = 3.907985046680551e-14 relative error = 2.001450728604401e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.952576194271625 y1[1] (numeric) = 1.952576194271596 absolute error = 2.886579864025407e-14 relative error = 1.478344288173705e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.880999999999904 y2[1] (analytic) = 1.952271417863224 y2[1] (numeric) = 1.952271417863185 absolute error = 3.907985046680551e-14 relative error = 2.001763182579331e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.952271417863224 y1[1] (numeric) = 1.952271417863195 absolute error = 2.886579864025407e-14 relative error = 1.478575078041552e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.881999999999904 y2[1] (analytic) = 1.951965689183485 y2[1] (numeric) = 1.951965689183446 absolute error = 3.930189507173054e-14 relative error = 2.013452146700933e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.951965689183485 y1[1] (numeric) = 1.951965689183456 absolute error = 2.886579864025407e-14 relative error = 1.478806661418764e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.882999999999903 y2[1] (analytic) = 1.951659008538136 y2[1] (numeric) = 1.951659008538097 absolute error = 3.952393967665557e-14 relative error = 2.025145760798678e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.951659008538136 y1[1] (numeric) = 1.951659008538107 absolute error = 2.90878432451791e-14 relative error = 1.490416262160825e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.883999999999903 y2[1] (analytic) = 1.951351376233858 y2[1] (numeric) = 1.951351376233819 absolute error = 3.952393967665557e-14 relative error = 2.025465026854233e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.951351376233858 y1[1] (numeric) = 1.951351376233829 absolute error = 2.90878432451791e-14 relative error = 1.490651227628677e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.884999999999903 y2[1] (analytic) = 1.951042792578283 y2[1] (numeric) = 1.951042792578244 absolute error = 3.97459842815806e-14 relative error = 2.037166198136366e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.951042792578283 y1[1] (numeric) = 1.951042792578254 absolute error = 2.930988785010413e-14 relative error = 1.502267810916203e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.885999999999903 y2[1] (analytic) = 1.950733257879995 y2[1] (numeric) = 1.950733257879955 absolute error = 3.97459842815806e-14 relative error = 2.037489447674434e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.950733257879995 y1[1] (numeric) = 1.950733257879966 absolute error = 2.930988785010413e-14 relative error = 1.502506184877236e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.886999999999903 y2[1] (analytic) = 1.950422772448528 y2[1] (numeric) = 1.950422772448488 absolute error = 3.996802888650564e-14 relative error = 2.049198227742718e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.950422772448528 y1[1] (numeric) = 1.950422772448499 absolute error = 2.953193245502916e-14 relative error = 1.514129801609898e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.887999999999903 y2[1] (analytic) = 1.950111336594368 y2[1] (numeric) = 1.950111336594328 absolute error = 4.019007349143067e-14 relative error = 2.060911740640293e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.950111336594368 y1[1] (numeric) = 1.950111336594338 absolute error = 2.953193245502916e-14 relative error = 1.51437161052574e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.888999999999903 y2[1] (analytic) = 1.94979895062895 y2[1] (numeric) = 1.94979895062891 absolute error = 4.019007349143067e-14 relative error = 2.061241928480189e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.94979895062895 y1[1] (numeric) = 1.949798950628921 absolute error = 2.953193245502916e-14 relative error = 1.514614234739587e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.889999999999903 y2[1] (analytic) = 1.949485614864661 y2[1] (numeric) = 1.949485614864621 absolute error = 4.04121180963557e-14 relative error = 2.072963133875765e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.949485614864661 y1[1] (numeric) = 1.949485614864631 absolute error = 2.97539770599542e-14 relative error = 1.526247582084354e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.890999999999903 y2[1] (analytic) = 1.949171329614836 y2[1] (numeric) = 1.949171329614796 absolute error = 4.04121180963557e-14 relative error = 2.073297379371022e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.949171329614836 y1[1] (numeric) = 1.949171329614806 absolute error = 2.97539770599542e-14 relative error = 1.526493674921522e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.891999999999902 y2[1] (analytic) = 1.948856095193761 y2[1] (numeric) = 1.94885609519372 absolute error = 4.063416270128073e-14 relative error = 2.085026329111322e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.948856095193761 y1[1] (numeric) = 1.948856095193731 absolute error = 2.997602166487923e-14 relative error = 1.538134177213271e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.892999999999902 y2[1] (analytic) = 1.948539911916669 y2[1] (numeric) = 1.948539911916628 absolute error = 4.085620730620576e-14 relative error = 2.096760094896789e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.948539911916669 y1[1] (numeric) = 1.948539911916639 absolute error = 3.019806626980426e-14 relative error = 1.549779200575887e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.893999999999902 y2[1] (analytic) = 1.948222780099745 y2[1] (numeric) = 1.948222780099704 absolute error = 4.107825191113079e-14 relative error = 2.108498695874384e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.948222780099745 y1[1] (numeric) = 1.948222780099715 absolute error = 3.042011087472929e-14 relative error = 1.561428763971841e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.894999999999902 y2[1] (analytic) = 1.94790470006012 y2[1] (numeric) = 1.947904700060078 absolute error = 4.130029651605582e-14 relative error = 2.120242151208996e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.94790470006012 y1[1] (numeric) = 1.947904700060089 absolute error = 3.064215547965432e-14 relative error = 1.573082886380868e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.895999999999902 y2[1] (analytic) = 1.947585672115873 y2[1] (numeric) = 1.947585672115832 absolute error = 4.130029651605582e-14 relative error = 2.120589461473438e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.947585672115873 y1[1] (numeric) = 1.947585672115842 absolute error = 3.064215547965432e-14 relative error = 1.57334056818997e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.896999999999902 y2[1] (analytic) = 1.947265696586033 y2[1] (numeric) = 1.947265696585992 absolute error = 4.152234112098085e-14 relative error = 2.132340809668565e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.947265696586033 y1[1] (numeric) = 1.947265696586002 absolute error = 3.086420008457935e-14 relative error = 1.585001992213533e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.897999999999902 y2[1] (analytic) = 1.946944773790576 y2[1] (numeric) = 1.946944773790534 absolute error = 4.152234112098085e-14 relative error = 2.132692292043782e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.946944773790576 y1[1] (numeric) = 1.946944773790545 absolute error = 3.086420008457935e-14 relative error = 1.585263254513827e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.898999999999902 y2[1] (analytic) = 1.946622904050424 y2[1] (numeric) = 1.946622904050382 absolute error = 4.174438572590589e-14 relative error = 2.144451585309436e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.946622904050424 y1[1] (numeric) = 1.946622904050393 absolute error = 3.108624468950438e-14 relative error = 1.596932031613409e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.899999999999902 y2[1] (analytic) = 1.946300087687446 y2[1] (numeric) = 1.946300087687404 absolute error = 4.196643033083092e-14 relative error = 2.156215816682954e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.946300087687446 y1[1] (numeric) = 1.946300087687415 absolute error = 3.130828929442941e-14 relative error = 1.608605450541251e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.900999999999901 y2[1] (analytic) = 1.94597632502446 y2[1] (numeric) = 1.945976325024418 absolute error = 4.218847493575595e-14 relative error = 2.167985005430405e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.94597632502446 y1[1] (numeric) = 1.945976325024429 absolute error = 3.153033389935445e-14 relative error = 1.620283530374303e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.901999999999901 y2[1] (analytic) = 1.945651616385228 y2[1] (numeric) = 1.945651616385185 absolute error = 4.241051954068098e-14 relative error = 2.179759170836262e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.945651616385228 y1[1] (numeric) = 1.945651616385196 absolute error = 3.175237850427948e-14 relative error = 1.631966290207254e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.902999999999901 y2[1] (analytic) = 1.945325962094458 y2[1] (numeric) = 1.945325962094415 absolute error = 4.263256414560601e-14 relative error = 2.191538332203471e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.945325962094458 y1[1] (numeric) = 1.945325962094426 absolute error = 3.197442310920451e-14 relative error = 1.643653749152603e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.903999999999901 y2[1] (analytic) = 1.944999362477804 y2[1] (numeric) = 1.944999362477762 absolute error = 4.263256414560601e-14 relative error = 2.191906330051176e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.944999362477804 y1[1] (numeric) = 1.944999362477772 absolute error = 3.197442310920451e-14 relative error = 1.643929747538382e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.904999999999901 y2[1] (analytic) = 1.944671817861867 y2[1] (numeric) = 1.944671817861825 absolute error = 4.285460875053104e-14 relative error = 2.203693618476404e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.944671817861867 y1[1] (numeric) = 1.944671817861835 absolute error = 3.219646771412954e-14 relative error = 1.655624739269837e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.905999999999901 y2[1] (analytic) = 1.944343328574191 y2[1] (numeric) = 1.944343328574148 absolute error = 4.307665335545607e-14 relative error = 2.215485954687059e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.944343328574191 y1[1] (numeric) = 1.944343328574159 absolute error = 3.241851231905457e-14 relative error = 1.667324481362426e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.906999999999901 y2[1] (analytic) = 1.944013894943265 y2[1] (numeric) = 1.944013894943222 absolute error = 4.307665335545607e-14 relative error = 2.215861392117942e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.944013894943265 y1[1] (numeric) = 1.944013894943233 absolute error = 3.241851231905457e-14 relative error = 1.667607027057833e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.907999999999901 y2[1] (analytic) = 1.943683517298523 y2[1] (numeric) = 1.94368351729848 absolute error = 4.329869796038111e-14 relative error = 2.227661940590044e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.943683517298523 y1[1] (numeric) = 1.94368351729849 absolute error = 3.26405569239796e-14 relative error = 1.679314385983264e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.908999999999901 y2[1] (analytic) = 1.943352195970342 y2[1] (numeric) = 1.943352195970299 absolute error = 4.329869796038111e-14 relative error = 2.228041733771345e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.943352195970342 y1[1] (numeric) = 1.943352195970309 absolute error = 3.26405569239796e-14 relative error = 1.679600691612244e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9099999999999 y2[1] (analytic) = 1.943019931290044 y2[1] (numeric) = 1.94301993129 absolute error = 4.352074256530614e-14 relative error = 2.239850547308132e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.943019931290044 y1[1] (numeric) = 1.943019931290011 absolute error = 3.26405569239796e-14 relative error = 1.679887910481099e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9109999999999 y2[1] (analytic) = 1.942686723589893 y2[1] (numeric) = 1.942686723589849 absolute error = 4.374278717023117e-14 relative error = 2.251664493253901e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.942686723589893 y1[1] (numeric) = 1.94268672358986 absolute error = 3.286260152890463e-14 relative error = 1.691605812190748e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9119999999999 y2[1] (analytic) = 1.942352573203097 y2[1] (numeric) = 1.942352573203053 absolute error = 4.39648317751562e-14 relative error = 2.263483591068878e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.942352573203097 y1[1] (numeric) = 1.942352573203064 absolute error = 3.308464613382966e-14 relative error = 1.703328560955872e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9129999999999 y2[1] (analytic) = 1.942017480463806 y2[1] (numeric) = 1.942017480463762 absolute error = 4.39648317751562e-14 relative error = 2.26387415239209e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.942017480463806 y1[1] (numeric) = 1.942017480463773 absolute error = 3.308464613382966e-14 relative error = 1.703622468214249e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9139999999999 y2[1] (analytic) = 1.941681445707113 y2[1] (numeric) = 1.941681445707069 absolute error = 4.418687638008123e-14 relative error = 2.275701633642044e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.941681445707113 y1[1] (numeric) = 1.94168144570708 absolute error = 3.33066907387547e-14 relative error = 1.715352990182445e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9149999999999 y2[1] (analytic) = 1.941344469269053 y2[1] (numeric) = 1.941344469269009 absolute error = 4.418687638008123e-14 relative error = 2.276096647429e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.941344469269053 y1[1] (numeric) = 1.94134446926902 absolute error = 3.33066907387547e-14 relative error = 1.71565073926809e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9159999999999 y2[1] (analytic) = 1.941006551486602 y2[1] (numeric) = 1.941006551486558 absolute error = 4.440892098500626e-14 relative error = 2.287932565245275e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.941006551486602 y1[1] (numeric) = 1.941006551486569 absolute error = 3.352873534367973e-14 relative error = 1.727389086760182e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9169999999999 y2[1] (analytic) = 1.940667692697679 y2[1] (numeric) = 1.940667692697634 absolute error = 4.463096558993129e-14 relative error = 2.299773720038117e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.940667692697679 y1[1] (numeric) = 1.940667692697645 absolute error = 3.375077994860476e-14 relative error = 1.739132365401959e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9179999999999 y2[1] (analytic) = 1.940327893241141 y2[1] (numeric) = 1.940327893241096 absolute error = 4.485301019485632e-14 relative error = 2.3116201313755e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.940327893241141 y1[1] (numeric) = 1.940327893241107 absolute error = 3.375077994860476e-14 relative error = 1.73943693053998e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.918999999999899 y2[1] (analytic) = 1.939987153456787 y2[1] (numeric) = 1.939987153456743 absolute error = 4.485301019485632e-14 relative error = 2.312026144860521e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.939987153456787 y1[1] (numeric) = 1.939987153456754 absolute error = 3.375077994860476e-14 relative error = 1.73974244563762e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.919999999999899 y2[1] (analytic) = 1.939645473685359 y2[1] (numeric) = 1.939645473685314 absolute error = 4.529709940470639e-14 relative error = 2.335328802053765e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.939645473685359 y1[1] (numeric) = 1.939645473685325 absolute error = 3.397282455352979e-14 relative error = 1.751496601540324e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.920999999999899 y2[1] (analytic) = 1.939302854268536 y2[1] (numeric) = 1.93930285426849 absolute error = 4.529709940470639e-14 relative error = 2.335741387942808e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.939302854268536 y1[1] (numeric) = 1.939302854268502 absolute error = 3.397282455352979e-14 relative error = 1.751806040957106e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.921999999999899 y2[1] (analytic) = 1.938959295548936 y2[1] (numeric) = 1.938959295548891 absolute error = 4.551914400963142e-14 relative error = 2.3476069927886e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.938959295548936 y1[1] (numeric) = 1.938959295548902 absolute error = 3.419486915845482e-14 relative error = 1.76356817994851e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.922999999999899 y2[1] (analytic) = 1.93861479787012 y2[1] (numeric) = 1.938614797870074 absolute error = 4.574118861455645e-14 relative error = 2.359477946047379e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.93861479787012 y1[1] (numeric) = 1.938614797870085 absolute error = 3.441691376337985e-14 relative error = 1.775335347754096e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.923999999999899 y2[1] (analytic) = 1.938269361576583 y2[1] (numeric) = 1.938269361576537 absolute error = 4.596323321948148e-14 relative error = 2.371354267401467e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.938269361576583 y1[1] (numeric) = 1.938269361576548 absolute error = 3.463895836830488e-14 relative error = 1.787107563838787e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.924999999999899 y2[1] (analytic) = 1.937922987013763 y2[1] (numeric) = 1.937922987013717 absolute error = 4.618527782440651e-14 relative error = 2.383235976553206e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.937922987013763 y1[1] (numeric) = 1.937922987013728 absolute error = 3.486100297322992e-14 relative error = 1.798884847686795e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.925999999999899 y2[1] (analytic) = 1.937575674528035 y2[1] (numeric) = 1.937575674527988 absolute error = 4.640732242933154e-14 relative error = 2.395123093225027e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.937575674528035 y1[1] (numeric) = 1.937575674528 absolute error = 3.508304757815495e-14 relative error = 1.810667218801695e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.926999999999899 y2[1] (analytic) = 1.937227424466709 y2[1] (numeric) = 1.937227424466663 absolute error = 4.640732242933154e-14 relative error = 2.395553657934964e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.937227424466709 y1[1] (numeric) = 1.937227424466674 absolute error = 3.508304757815495e-14 relative error = 1.810992717481934e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.927999999999898 y2[1] (analytic) = 1.936878237178038 y2[1] (numeric) = 1.936878237177991 absolute error = 4.662936703425657e-14 relative error = 2.407449582488669e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.936878237178038 y1[1] (numeric) = 1.936878237178003 absolute error = 3.530509218307998e-14 relative error = 1.82278325531285e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.928999999999898 y2[1] (analytic) = 1.936528113011207 y2[1] (numeric) = 1.936528113011161 absolute error = 4.662936703425657e-14 relative error = 2.407884849228972e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.936528113011207 y1[1] (numeric) = 1.936528113011172 absolute error = 3.530509218307998e-14 relative error = 1.823112814416222e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.929999999999898 y2[1] (analytic) = 1.936177052316342 y2[1] (numeric) = 1.936177052316295 absolute error = 4.685141163918161e-14 relative error = 2.419789635618861e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.936177052316342 y1[1] (numeric) = 1.936177052316306 absolute error = 3.530509218307998e-14 relative error = 1.823443374708051e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.930999999999898 y2[1] (analytic) = 1.935825055444502 y2[1] (numeric) = 1.935825055444455 absolute error = 4.707345624410664e-14 relative error = 2.43169991584274e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.935825055444502 y1[1] (numeric) = 1.935825055444466 absolute error = 3.552713678800501e-14 relative error = 1.835245219503955e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.931999999999898 y2[1] (analytic) = 1.935472122747685 y2[1] (numeric) = 1.935472122747637 absolute error = 4.729550084903167e-14 relative error = 2.443615709736434e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.935472122747685 y1[1] (numeric) = 1.935472122747649 absolute error = 3.574918139293004e-14 relative error = 1.847052250082469e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.932999999999898 y2[1] (analytic) = 1.935118254578823 y2[1] (numeric) = 1.935118254578775 absolute error = 4.729550084903167e-14 relative error = 2.444062565020116e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.935118254578823 y1[1] (numeric) = 1.935118254578787 absolute error = 3.574918139293004e-14 relative error = 1.847390013935393e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.933999999999898 y2[1] (analytic) = 1.934763451291784 y2[1] (numeric) = 1.934763451291736 absolute error = 4.75175454539567e-14 relative error = 2.455987341616912e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.934763451291784 y1[1] (numeric) = 1.934763451291748 absolute error = 3.597122599785507e-14 relative error = 1.859205370756728e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.934999999999898 y2[1] (analytic) = 1.934407713241372 y2[1] (numeric) = 1.934407713241324 absolute error = 4.75175454539567e-14 relative error = 2.456438998288235e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.934407713241372 y1[1] (numeric) = 1.934407713241336 absolute error = 3.597122599785507e-14 relative error = 1.859547279078009e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.935999999999898 y2[1] (analytic) = 1.934051040783324 y2[1] (numeric) = 1.934051040783276 absolute error = 4.773959005888173e-14 relative error = 2.468372811895717e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.934051040783324 y1[1] (numeric) = 1.934051040783288 absolute error = 3.61932706027801e-14 relative error = 1.871371015530242e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.936999999999897 y2[1] (analytic) = 1.933693434274314 y2[1] (numeric) = 1.933693434274266 absolute error = 4.773959005888173e-14 relative error = 2.468829299035071e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.933693434274314 y1[1] (numeric) = 1.933693434274278 absolute error = 3.61932706027801e-14 relative error = 1.871717096477751e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.937999999999897 y2[1] (analytic) = 1.933334894071947 y2[1] (numeric) = 1.933334894071899 absolute error = 4.796163466380676e-14 relative error = 2.480772204074331e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.933334894071947 y1[1] (numeric) = 1.93333489407191 absolute error = 3.641531520770513e-14 relative error = 1.883549266056436e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.938999999999897 y2[1] (analytic) = 1.932975420534764 y2[1] (numeric) = 1.932975420534715 absolute error = 4.818367926873179e-14 relative error = 2.492720743205396e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.932975420534764 y1[1] (numeric) = 1.932975420534727 absolute error = 3.641531520770513e-14 relative error = 1.8838995478603e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.939999999999897 y2[1] (analytic) = 1.932615014022238 y2[1] (numeric) = 1.932615014022189 absolute error = 4.840572387365683e-14 relative error = 2.504674936417515e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.932615014022238 y1[1] (numeric) = 1.932615014022201 absolute error = 3.663735981263017e-14 relative error = 1.89574020416922e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.940999999999897 y2[1] (analytic) = 1.932253674894775 y2[1] (numeric) = 1.932253674894727 absolute error = 4.862776847858186e-14 relative error = 2.516634803721099e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.932253674894775 y1[1] (numeric) = 1.932253674894739 absolute error = 3.68594044175552e-14 relative error = 1.907586198254349e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.941999999999897 y2[1] (analytic) = 1.931891403513716 y2[1] (numeric) = 1.931891403513667 absolute error = 4.862776847858186e-14 relative error = 2.517106727124407e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.931891403513716 y1[1] (numeric) = 1.931891403513679 absolute error = 3.68594044175552e-14 relative error = 1.907943911884254e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.942999999999897 y2[1] (analytic) = 1.93152820024133 y2[1] (numeric) = 1.931528200241282 absolute error = 4.862776847858186e-14 relative error = 2.517580042191782e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.93152820024133 y1[1] (numeric) = 1.931528200241293 absolute error = 3.68594044175552e-14 relative error = 1.908302680382812e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.943999999999897 y2[1] (analytic) = 1.931164065440822 y2[1] (numeric) = 1.931164065440774 absolute error = 4.884981308350689e-14 relative error = 2.529552716814666e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.931164065440822 y1[1] (numeric) = 1.931164065440785 absolute error = 3.708144902248023e-14 relative error = 1.920160471400224e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.944999999999897 y2[1] (analytic) = 1.930798999476327 y2[1] (numeric) = 1.930798999476278 absolute error = 4.907185768843192e-14 relative error = 2.54153113305638e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.930798999476327 y1[1] (numeric) = 1.930798999476289 absolute error = 3.730349362740526e-14 relative error = 1.932023666757791e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.945999999999896 y2[1] (analytic) = 1.930433002712909 y2[1] (numeric) = 1.93043300271286 absolute error = 4.929390229335695e-14 relative error = 2.553515311025164e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.930433002712909 y1[1] (numeric) = 1.930433002712871 absolute error = 3.752553823233029e-14 relative error = 1.943892286320958e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.946999999999896 y2[1] (analytic) = 1.930066075516566 y2[1] (numeric) = 1.930066075516516 absolute error = 4.951594689828198e-14 relative error = 2.565505270850867e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.930066075516566 y1[1] (numeric) = 1.930066075516528 absolute error = 3.774758283725532e-14 relative error = 1.955766349975997e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.947999999999896 y2[1] (analytic) = 1.929698218254225 y2[1] (numeric) = 1.929698218254175 absolute error = 4.973799150320701e-14 relative error = 2.577501032685016e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.929698218254225 y1[1] (numeric) = 1.929698218254187 absolute error = 3.796962744218035e-14 relative error = 1.967645877630079e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.948999999999896 y2[1] (analytic) = 1.929329431293743 y2[1] (numeric) = 1.929329431293693 absolute error = 4.973799150320701e-14 relative error = 2.577993716182228e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.929329431293743 y1[1] (numeric) = 1.929329431293705 absolute error = 3.796962744218035e-14 relative error = 1.968021988692683e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.949999999999896 y2[1] (analytic) = 1.928959715003908 y2[1] (numeric) = 1.928959715003858 absolute error = 4.996003610813204e-14 relative error = 2.589998936708268e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.928959715003908 y1[1] (numeric) = 1.92895971500387 absolute error = 3.819167204710538e-14 relative error = 1.979910298283654e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.950999999999896 y2[1] (analytic) = 1.928589069754435 y2[1] (numeric) = 1.928589069754384 absolute error = 5.018208071305708e-14 relative error = 2.602010013436751e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.928589069754435 y1[1] (numeric) = 1.928589069754396 absolute error = 3.841371665203042e-14 relative error = 1.991804125329903e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.951999999999896 y2[1] (analytic) = 1.928217495915969 y2[1] (numeric) = 1.928217495915919 absolute error = 5.040412531798211e-14 relative error = 2.614026966602045e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.928217495915969 y1[1] (numeric) = 1.92821749591593 absolute error = 3.863576125695545e-14 relative error = 2.003703489818307e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.952999999999896 y2[1] (analytic) = 1.927844993860085 y2[1] (numeric) = 1.927844993860034 absolute error = 5.062616992290714e-14 relative error = 2.626049816460575e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.927844993860085 y1[1] (numeric) = 1.927844993860046 absolute error = 3.885780586188048e-14 relative error = 2.01560841175702e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.953999999999896 y2[1] (analytic) = 1.927471563959284 y2[1] (numeric) = 1.927471563959234 absolute error = 5.062616992290714e-14 relative error = 2.626558589477409e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.927471563959284 y1[1] (numeric) = 1.927471563959245 absolute error = 3.885780586188048e-14 relative error = 2.015998917362047e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.954999999999895 y2[1] (analytic) = 1.927097206586997 y2[1] (numeric) = 1.927097206586946 absolute error = 5.084821452783217e-14 relative error = 2.638591055709502e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.927097206586997 y1[1] (numeric) = 1.927097206586958 absolute error = 3.907985046680551e-14 relative error = 2.027912776440491e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.955999999999895 y2[1] (analytic) = 1.92672192211758 y2[1] (numeric) = 1.92672192211753 absolute error = 5.084821452783217e-14 relative error = 2.63910499715221e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.92672192211758 y1[1] (numeric) = 1.926721922117541 absolute error = 3.907985046680551e-14 relative error = 2.02830777073707e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.956999999999895 y2[1] (analytic) = 1.926345710926319 y2[1] (numeric) = 1.926345710926268 absolute error = 5.129230373768223e-14 relative error = 2.662673862056535e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.926345710926319 y1[1] (numeric) = 1.92634571092628 absolute error = 3.952393967665557e-14 relative error = 2.051757348251356e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.957999999999895 y2[1] (analytic) = 1.925968573389424 y2[1] (numeric) = 1.925968573389372 absolute error = 5.151434834260726e-14 relative error = 2.67472424287534e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.925968573389424 y1[1] (numeric) = 1.925968573389384 absolute error = 3.952393967665557e-14 relative error = 2.052159117378494e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.958999999999895 y2[1] (analytic) = 1.925590509884032 y2[1] (numeric) = 1.925590509883981 absolute error = 5.151434834260726e-14 relative error = 2.675249388599744e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.925590509884032 y1[1] (numeric) = 1.925590509883993 absolute error = 3.952393967665557e-14 relative error = 2.052562030908424e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.959999999999895 y2[1] (analytic) = 1.925211520788208 y2[1] (numeric) = 1.925211520788156 absolute error = 5.173639294753229e-14 relative error = 2.687309544374153e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.925211520788208 y1[1] (numeric) = 1.925211520788168 absolute error = 3.97459842815806e-14 relative error = 2.064499607051388e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.960999999999895 y2[1] (analytic) = 1.92483160648094 y2[1] (numeric) = 1.924831606480888 absolute error = 5.173639294753229e-14 relative error = 2.687839953029397e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.92483160648094 y1[1] (numeric) = 1.9248316064809 absolute error = 3.97459842815806e-14 relative error = 2.064907088378807e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.961999999999895 y2[1] (analytic) = 1.924450767342143 y2[1] (numeric) = 1.924450767342091 absolute error = 5.195843755245733e-14 relative error = 2.699909939718389e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.924450767342143 y1[1] (numeric) = 1.924450767342103 absolute error = 3.996802888650564e-14 relative error = 2.076853799783376e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.962999999999895 y2[1] (analytic) = 1.924069003752655 y2[1] (numeric) = 1.924069003752603 absolute error = 5.218048215738236e-14 relative error = 2.71198600755019e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.924069003752655 y1[1] (numeric) = 1.924069003752615 absolute error = 4.019007349143067e-14 relative error = 2.088806244113125e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.963999999999894 y2[1] (analytic) = 1.923686316094241 y2[1] (numeric) = 1.923686316094189 absolute error = 5.240252676230739e-14 relative error = 2.724068177014583e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.923686316094241 y1[1] (numeric) = 1.923686316094201 absolute error = 4.04121180963557e-14 relative error = 2.100764441595992e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.964999999999894 y2[1] (analytic) = 1.923302704749587 y2[1] (numeric) = 1.923302704749535 absolute error = 5.240252676230739e-14 relative error = 2.72461150462169e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.923302704749587 y1[1] (numeric) = 1.923302704749547 absolute error = 4.04121180963557e-14 relative error = 2.101183448479439e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.965999999999894 y2[1] (analytic) = 1.922918170102306 y2[1] (numeric) = 1.922918170102254 absolute error = 5.262457136723242e-14 relative error = 2.736703630213895e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.922918170102306 y1[1] (numeric) = 1.922918170102266 absolute error = 4.063416270128073e-14 relative error = 2.113150904342375e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.966999999999894 y2[1] (analytic) = 1.922532712536932 y2[1] (numeric) = 1.922532712536879 absolute error = 5.262457136723242e-14 relative error = 2.737252324710262e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.922532712536932 y1[1] (numeric) = 1.922532712536891 absolute error = 4.063416270128073e-14 relative error = 2.113574579839569e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.967999999999894 y2[1] (analytic) = 1.922146332438921 y2[1] (numeric) = 1.922146332438869 absolute error = 5.284661597215745e-14 relative error = 2.749354462784467e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.922146332438921 y1[1] (numeric) = 1.922146332438881 absolute error = 4.063416270128073e-14 relative error = 2.11399943987209e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.968999999999894 y2[1] (analytic) = 1.921759030194656 y2[1] (numeric) = 1.921759030194603 absolute error = 5.306866057708248e-14 relative error = 2.761462792330792e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.921759030194656 y1[1] (numeric) = 1.921759030194615 absolute error = 4.085620730620576e-14 relative error = 2.125979722965965e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.969999999999894 y2[1] (analytic) = 1.921370806191437 y2[1] (numeric) = 1.921370806191383 absolute error = 5.351274978693255e-14 relative error = 2.785133906193054e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.921370806191437 y1[1] (numeric) = 1.921370806191395 absolute error = 4.130029651605582e-14 relative error = 2.149522433825345e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.970999999999894 y2[1] (analytic) = 1.920981660817488 y2[1] (numeric) = 1.920981660817435 absolute error = 5.351274978693255e-14 relative error = 2.785698108339035e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.920981660817488 y1[1] (numeric) = 1.920981660817447 absolute error = 4.130029651605582e-14 relative error = 2.149957876145479e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.971999999999894 y2[1] (analytic) = 1.920591594461956 y2[1] (numeric) = 1.920591594461902 absolute error = 5.373479439185758e-14 relative error = 2.797825136109227e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.920591594461956 y1[1] (numeric) = 1.920591594461914 absolute error = 4.152234112098085e-14 relative error = 2.161955786993493e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.972999999999894 y2[1] (analytic) = 1.920200607514905 y2[1] (numeric) = 1.920200607514851 absolute error = 5.373479439185758e-14 relative error = 2.798394822997184e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.920200607514905 y1[1] (numeric) = 1.920200607514864 absolute error = 4.152234112098085e-14 relative error = 2.162395999588733e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.973999999999893 y2[1] (analytic) = 1.919808700367324 y2[1] (numeric) = 1.91980870036727 absolute error = 5.395683899678261e-14 relative error = 2.810532059077493e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.919808700367324 y1[1] (numeric) = 1.919808700367282 absolute error = 4.174438572590589e-14 relative error = 2.174403403730735e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.974999999999893 y2[1] (analytic) = 1.919415873411119 y2[1] (numeric) = 1.919415873411065 absolute error = 5.395683899678261e-14 relative error = 2.811107261548921e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.919415873411119 y1[1] (numeric) = 1.919415873411077 absolute error = 4.174438572590589e-14 relative error = 2.174848416342375e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.975999999999893 y2[1] (analytic) = 1.919022127039117 y2[1] (numeric) = 1.919022127039063 absolute error = 5.417888360170764e-14 relative error = 2.823254762846372e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.919022127039117 y1[1] (numeric) = 1.919022127039075 absolute error = 4.196643033083092e-14 relative error = 2.186865369581821e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.976999999999893 y2[1] (analytic) = 1.918627461645065 y2[1] (numeric) = 1.918627461645011 absolute error = 5.440092820663267e-14 relative error = 2.835408608192669e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.918627461645065 y1[1] (numeric) = 1.918627461645023 absolute error = 4.218847493575595e-14 relative error = 2.198888308394314e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.977999999999893 y2[1] (analytic) = 1.918231877623628 y2[1] (numeric) = 1.918231877623574 absolute error = 5.440092820663267e-14 relative error = 2.835993335384793e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.918231877623628 y1[1] (numeric) = 1.918231877623586 absolute error = 4.218847493575595e-14 relative error = 2.199341770298411e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.978999999999893 y2[1] (analytic) = 1.91783537537039 y2[1] (numeric) = 1.917835375370335 absolute error = 5.46229728115577e-14 relative error = 2.848157538079014e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.91783537537039 y1[1] (numeric) = 1.917835375370347 absolute error = 4.241051954068098e-14 relative error = 2.211374348671104e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.979999999999893 y2[1] (analytic) = 1.917437955281853 y2[1] (numeric) = 1.917437955281798 absolute error = 5.484501741648273e-14 relative error = 2.860328140757015e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.917437955281853 y1[1] (numeric) = 1.91743795528181 absolute error = 4.241051954068098e-14 relative error = 2.211832691840445e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.980999999999893 y2[1] (analytic) = 1.917039617755437 y2[1] (numeric) = 1.917039617755381 absolute error = 5.506706202140776e-14 relative error = 2.872505164284657e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.917039617755437 y1[1] (numeric) = 1.917039617755394 absolute error = 4.263256414560601e-14 relative error = 2.223874965897799e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.981999999999893 y2[1] (analytic) = 1.916640363189479 y2[1] (numeric) = 1.916640363189424 absolute error = 5.506706202140776e-14 relative error = 2.873103534654291e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.916640363189479 y1[1] (numeric) = 1.916640363189436 absolute error = 4.263256414560601e-14 relative error = 2.224338220377516e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.982999999999892 y2[1] (analytic) = 1.916240191983235 y2[1] (numeric) = 1.91624019198318 absolute error = 5.506706202140776e-14 relative error = 2.873703529014047e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.916240191983235 y1[1] (numeric) = 1.916240191983192 absolute error = 4.263256414560601e-14 relative error = 2.224802732139907e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.983999999999892 y2[1] (analytic) = 1.915839104536875 y2[1] (numeric) = 1.91583910453682 absolute error = 5.52891066263328e-14 relative error = 2.885895088757889e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.915839104536875 y1[1] (numeric) = 1.915839104536832 absolute error = 4.285460875053104e-14 relative error = 2.236858442290252e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.984999999999892 y2[1] (analytic) = 1.915437101251487 y2[1] (numeric) = 1.915437101251432 absolute error = 5.551115123125783e-14 relative error = 2.898093139941195e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.915437101251487 y1[1] (numeric) = 1.915437101251444 absolute error = 4.307665335545607e-14 relative error = 2.248920276594367e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.985999999999892 y2[1] (analytic) = 1.915034182529074 y2[1] (numeric) = 1.915034182529018 absolute error = 5.573319583618286e-14 relative error = 2.910297703541734e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.915034182529074 y1[1] (numeric) = 1.915034182529031 absolute error = 4.307665335545607e-14 relative error = 2.249393444171699e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.986999999999892 y2[1] (analytic) = 1.914630348772555 y2[1] (numeric) = 1.914630348772499 absolute error = 5.617728504603292e-14 relative error = 2.934106057707038e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.914630348772555 y1[1] (numeric) = 1.914630348772512 absolute error = 4.329869796038111e-14 relative error = 2.261465143291986e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.987999999999892 y2[1] (analytic) = 1.914225600385763 y2[1] (numeric) = 1.914225600385707 absolute error = 5.617728504603292e-14 relative error = 2.934726452029052e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.914225600385763 y1[1] (numeric) = 1.91422560038572 absolute error = 4.329869796038111e-14 relative error = 2.261943312828716e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.988999999999892 y2[1] (analytic) = 1.913819937773447 y2[1] (numeric) = 1.913819937773391 absolute error = 5.639932965095795e-14 relative error = 2.946950678995087e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.913819937773447 y1[1] (numeric) = 1.913819937773404 absolute error = 4.352074256530614e-14 relative error = 2.274024933397784e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.989999999999892 y2[1] (analytic) = 1.913413361341269 y2[1] (numeric) = 1.913413361341213 absolute error = 5.662137425588298e-14 relative error = 2.959181502537036e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.913413361341269 y1[1] (numeric) = 1.913413361341226 absolute error = 4.374278717023117e-14 relative error = 2.286112768626652e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.990999999999892 y2[1] (analytic) = 1.913005871495806 y2[1] (numeric) = 1.91300587149575 absolute error = 5.684341886080801e-14 relative error = 2.971418943756892e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.913005871495806 y1[1] (numeric) = 1.913005871495763 absolute error = 4.374278717023117e-14 relative error = 2.286599734062921e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.991999999999891 y2[1] (analytic) = 1.912597468644548 y2[1] (numeric) = 1.912597468644491 absolute error = 5.706546346573305e-14 relative error = 2.983663023781745e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.912597468644548 y1[1] (numeric) = 1.912597468644504 absolute error = 4.374278717023117e-14 relative error = 2.287087998774334e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.992999999999891 y2[1] (analytic) = 1.912188153195897 y2[1] (numeric) = 1.91218815319584 absolute error = 5.728750807065808e-14 relative error = 2.995913763763872e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.912188153195897 y1[1] (numeric) = 1.912188153195853 absolute error = 4.39648317751562e-14 relative error = 2.299189632655995e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.993999999999891 y2[1] (analytic) = 1.911777925559169 y2[1] (numeric) = 1.911777925559112 absolute error = 5.728750807065808e-14 relative error = 2.996556624321429e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.911777925559169 y1[1] (numeric) = 1.911777925559125 absolute error = 4.39648317751562e-14 relative error = 2.299682990758306e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.994999999999891 y2[1] (analytic) = 1.911366786144592 y2[1] (numeric) = 1.911366786144534 absolute error = 5.750955267558311e-14 relative error = 3.008818249457256e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.911366786144592 y1[1] (numeric) = 1.911366786144547 absolute error = 4.418687638008123e-14 relative error = 2.311794716764455e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.995999999999891 y2[1] (analytic) = 1.910954735363304 y2[1] (numeric) = 1.910954735363246 absolute error = 5.773159728050814e-14 relative error = 3.021086591542547e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.910954735363304 y1[1] (numeric) = 1.910954735363259 absolute error = 4.440892098500626e-14 relative error = 2.323912762725036e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.996999999999891 y2[1] (analytic) = 1.910541773627356 y2[1] (numeric) = 1.910541773627299 absolute error = 5.773159728050814e-14 relative error = 3.021739596454825e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.910541773627356 y1[1] (numeric) = 1.910541773627312 absolute error = 4.440892098500626e-14 relative error = 2.32441507419602e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.997999999999891 y2[1] (analytic) = 1.910127901349711 y2[1] (numeric) = 1.910127901349653 absolute error = 5.795364188543317e-14 relative error = 3.034018918025472e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.910127901349711 y1[1] (numeric) = 1.910127901349667 absolute error = 4.463096558993129e-14 relative error = 2.336543304686283e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.998999999999891 y2[1] (analytic) = 1.909713118944241 y2[1] (numeric) = 1.909713118944183 absolute error = 5.81756864903582e-14 relative error = 3.046305013735249e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.909713118944241 y1[1] (numeric) = 1.909713118944196 absolute error = 4.485301019485632e-14 relative error = 2.348677911353131e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.999999999999891 y2[1] (analytic) = 1.909297426825727 y2[1] (numeric) = 1.909297426825669 absolute error = 5.839773109528323e-14 relative error = 3.058597904904291e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.909297426825727 y1[1] (numeric) = 1.909297426825682 absolute error = 4.507505479978136e-14 relative error = 2.360818915192286e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.000999999999891 y2[1] (analytic) = 1.908880825409862 y2[1] (numeric) = 1.908880825409804 absolute error = 5.839773109528323e-14 relative error = 3.059265424951003e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.908880825409862 y1[1] (numeric) = 1.908880825409817 absolute error = 4.507505479978136e-14 relative error = 2.361334149296782e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.001999999999891 y2[1] (analytic) = 1.908463315113248 y2[1] (numeric) = 1.908463315113189 absolute error = 5.861977570020827e-14 relative error = 3.071569426354406e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.908463315113248 y1[1] (numeric) = 1.908463315113203 absolute error = 4.529709940470639e-14 relative error = 2.373485465819313e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00299999999989 y2[1] (analytic) = 1.908044896353394 y2[1] (numeric) = 1.908044896353335 absolute error = 5.88418203051333e-14 relative error = 3.083880280678419e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.908044896353394 y1[1] (numeric) = 1.908044896353349 absolute error = 4.551914400963142e-14 relative error = 2.385643235996513e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00399999999989 y2[1] (analytic) = 1.90762556954872 y2[1] (numeric) = 1.907625569548661 absolute error = 5.906386491005833e-14 relative error = 3.096198009341574e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.90762556954872 y1[1] (numeric) = 1.907625569548674 absolute error = 4.574118861455645e-14 relative error = 2.397807480918663e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00499999999989 y2[1] (analytic) = 1.907205335118551 y2[1] (numeric) = 1.907205335118492 absolute error = 5.906386491005833e-14 relative error = 3.09688022692045e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.907205335118551 y1[1] (numeric) = 1.907205335118506 absolute error = 4.574118861455645e-14 relative error = 2.398335814833131e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00599999999989 y2[1] (analytic) = 1.906784193483124 y2[1] (numeric) = 1.906784193483064 absolute error = 5.928590951498336e-14 relative error = 3.109209197223612e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.906784193483124 y1[1] (numeric) = 1.906784193483078 absolute error = 4.596323321948148e-14 relative error = 2.410510501218306e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00699999999989 y2[1] (analytic) = 1.906362145063578 y2[1] (numeric) = 1.906362145063518 absolute error = 5.950795411990839e-14 relative error = 3.121545099602457e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.906362145063578 y1[1] (numeric) = 1.906362145063532 absolute error = 4.618527782440651e-14 relative error = 2.422691719094444e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00799999999989 y2[1] (analytic) = 1.905939190281962 y2[1] (numeric) = 1.905939190281903 absolute error = 5.950795411990839e-14 relative error = 3.122237814476382e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.905939190281962 y1[1] (numeric) = 1.905939190281916 absolute error = 4.618527782440651e-14 relative error = 2.423229348548834e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00899999999989 y2[1] (analytic) = 1.905515329561232 y2[1] (numeric) = 1.905515329561172 absolute error = 5.972999872483342e-14 relative error = 3.134585054143173e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.905515329561232 y1[1] (numeric) = 1.905515329561186 absolute error = 4.640732242933154e-14 relative error = 2.435421101546183e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00999999999989 y2[1] (analytic) = 1.905090563325248 y2[1] (numeric) = 1.905090563325188 absolute error = 5.995204332975845e-14 relative error = 3.146939283826744e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.905090563325248 y1[1] (numeric) = 1.905090563325201 absolute error = 4.662936703425657e-14 relative error = 2.447619442976357e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.01099999999989 y2[1] (analytic) = 1.904664891998776 y2[1] (numeric) = 1.904664891998716 absolute error = 5.995204332975845e-14 relative error = 3.147642589602423e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.904664891998776 y1[1] (numeric) = 1.904664891998729 absolute error = 4.662936703425657e-14 relative error = 2.448166458579662e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.011999999999889 y2[1] (analytic) = 1.904238316007487 y2[1] (numeric) = 1.904238316007427 absolute error = 6.017408793468348e-14 relative error = 3.160008252582966e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.904238316007487 y1[1] (numeric) = 1.90423831600744 absolute error = 4.685141163918161e-14 relative error = 2.460375429132863e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.012999999999889 y2[1] (analytic) = 1.903810835777958 y2[1] (numeric) = 1.903810835777897 absolute error = 6.039613253960852e-14 relative error = 3.172380963727877e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.903810835777958 y1[1] (numeric) = 1.90381083577791 absolute error = 4.707345624410664e-14 relative error = 2.472591045258492e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.013999999999889 y2[1] (analytic) = 1.903382451737668 y2[1] (numeric) = 1.903382451737607 absolute error = 6.061817714453355e-14 relative error = 3.184760744704407e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.903382451737668 y1[1] (numeric) = 1.90338245173762 absolute error = 4.729550084903167e-14 relative error = 2.484813328285856e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.014999999999889 y2[1] (analytic) = 1.902953164315001 y2[1] (numeric) = 1.90295316431494 absolute error = 6.084022174945858e-14 relative error = 3.197147617206806e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.902953164315001 y1[1] (numeric) = 1.902953164314954 absolute error = 4.75175454539567e-14 relative error = 2.497042299570279e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.015999999999889 y2[1] (analytic) = 1.902522973939246 y2[1] (numeric) = 1.902522973939185 absolute error = 6.106226635438361e-14 relative error = 3.209541602956409e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.902522973939246 y1[1] (numeric) = 1.902522973939198 absolute error = 4.773959005888173e-14 relative error = 2.509277980493192e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.016999999999889 y2[1] (analytic) = 1.902091881040592 y2[1] (numeric) = 1.902091881040531 absolute error = 6.128431095930864e-14 relative error = 3.221942723701726e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.902091881040592 y1[1] (numeric) = 1.902091881040544 absolute error = 4.773959005888173e-14 relative error = 2.509846686941562e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.017999999999889 y2[1] (analytic) = 1.901659886050132 y2[1] (numeric) = 1.90165988605007 absolute error = 6.150635556423367e-14 relative error = 3.234351001218534e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.901659886050132 y1[1] (numeric) = 1.901659886050084 absolute error = 4.796163466380676e-14 relative error = 2.522093199506149e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.018999999999889 y2[1] (analytic) = 1.901226989399861 y2[1] (numeric) = 1.901226989399799 absolute error = 6.17284001691587e-14 relative error = 3.246766457309961e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.901226989399861 y1[1] (numeric) = 1.901226989399813 absolute error = 4.818367926873179e-14 relative error = 2.534346479267128e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.019999999999889 y2[1] (analytic) = 1.900793191522676 y2[1] (numeric) = 1.900793191522614 absolute error = 6.17284001691587e-14 relative error = 3.247507432395089e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.900793191522676 y1[1] (numeric) = 1.900793191522627 absolute error = 4.818367926873179e-14 relative error = 2.534924866294008e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.020999999999888 y2[1] (analytic) = 1.900358492852374 y2[1] (numeric) = 1.900358492852312 absolute error = 6.195044477408373e-14 relative error = 3.25993463902162e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.900358492852374 y1[1] (numeric) = 1.900358492852326 absolute error = 4.840572387365683e-14 relative error = 2.547189072783918e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.021999999999888 y2[1] (analytic) = 1.899922893823655 y2[1] (numeric) = 1.899922893823592 absolute error = 6.217248937900877e-14 relative error = 3.272369083036032e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.899922893823655 y1[1] (numeric) = 1.899922893823606 absolute error = 4.862776847858186e-14 relative error = 2.559460104231754e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.022999999999888 y2[1] (analytic) = 1.899486394872116 y2[1] (numeric) = 1.899486394872054 absolute error = 6.23945339839338e-14 relative error = 3.284810786345987e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.899486394872116 y1[1] (numeric) = 1.899486394872067 absolute error = 4.884981308350689e-14 relative error = 2.571737982192587e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.023999999999888 y2[1] (analytic) = 1.899048996434258 y2[1] (numeric) = 1.899048996434195 absolute error = 6.261657858885883e-14 relative error = 3.297259770886934e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.899048996434258 y1[1] (numeric) = 1.899048996434209 absolute error = 4.884981308350689e-14 relative error = 2.57233031771321e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.024999999999888 y2[1] (analytic) = 1.898610698947478 y2[1] (numeric) = 1.898610698947416 absolute error = 6.261657858885883e-14 relative error = 3.298020948874417e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.898610698947478 y1[1] (numeric) = 1.898610698947429 absolute error = 4.884981308350689e-14 relative error = 2.572924144511957e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.025999999999888 y2[1] (analytic) = 1.898171502850075 y2[1] (numeric) = 1.898171502850012 absolute error = 6.283862319378386e-14 relative error = 3.310481855798207e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.898171502850075 y1[1] (numeric) = 1.898171502850025 absolute error = 4.907185768843192e-14 relative error = 2.585217279616267e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.026999999999888 y2[1] (analytic) = 1.897731408581243 y2[1] (numeric) = 1.89773140858118 absolute error = 6.306066779870889e-14 relative error = 3.322950103136749e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.897731408581243 y1[1] (numeric) = 1.897731408581194 absolute error = 4.907185768843192e-14 relative error = 2.585816805609935e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.027999999999888 y2[1] (analytic) = 1.897290416581077 y2[1] (numeric) = 1.897290416581014 absolute error = 6.328271240363392e-14 relative error = 3.335425712931685e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.897290416581077 y1[1] (numeric) = 1.897290416581028 absolute error = 4.929390229335695e-14 relative error = 2.598121081652049e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.028999999999888 y2[1] (analytic) = 1.89684852729057 y2[1] (numeric) = 1.896848527290506 absolute error = 6.350475700855895e-14 relative error = 3.347908707252877e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.89684852729057 y1[1] (numeric) = 1.89684852729052 absolute error = 4.951594689828198e-14 relative error = 2.610432313697173e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.029999999999887 y2[1] (analytic) = 1.89640574115161 y2[1] (numeric) = 1.896405741151546 absolute error = 6.372680161348399e-14 relative error = 3.360399108198507e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.89640574115161 y1[1] (numeric) = 1.89640574115156 absolute error = 4.951594689828198e-14 relative error = 2.611041815777934e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.030999999999887 y2[1] (analytic) = 1.895962058606983 y2[1] (numeric) = 1.895962058606919 absolute error = 6.394884621840902e-14 relative error = 3.372896937895162e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.895962058606983 y1[1] (numeric) = 1.895962058606934 absolute error = 4.973799150320701e-14 relative error = 2.62336428502957e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.031999999999887 y2[1] (analytic) = 1.895517480100373 y2[1] (numeric) = 1.895517480100309 absolute error = 6.417089082333405e-14 relative error = 3.385402218497928e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.895517480100373 y1[1] (numeric) = 1.895517480100323 absolute error = 4.996003610813204e-14 relative error = 2.63569376872676e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.032999999999887 y2[1] (analytic) = 1.895072006076357 y2[1] (numeric) = 1.895072006076293 absolute error = 6.439293542825908e-14 relative error = 3.397914972190483e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.895072006076357 y1[1] (numeric) = 1.895072006076307 absolute error = 4.996003610813204e-14 relative error = 2.636313340492616e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.033999999999887 y2[1] (analytic) = 1.89462563698041 y2[1] (numeric) = 1.894625636980345 absolute error = 6.461498003318411e-14 relative error = 3.410435221185187e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.89462563698041 y1[1] (numeric) = 1.89462563698036 absolute error = 5.018208071305708e-14 relative error = 2.648654158033857e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.034999999999887 y2[1] (analytic) = 1.8941783732589 y2[1] (numeric) = 1.894178373258836 absolute error = 6.483702463810914e-14 relative error = 3.422962987723178e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.8941783732589 y1[1] (numeric) = 1.89417837325885 absolute error = 5.040412531798211e-14 relative error = 2.66100204867521e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.035999999999887 y2[1] (analytic) = 1.893730215359092 y2[1] (numeric) = 1.893730215359027 absolute error = 6.483702463810914e-14 relative error = 3.423773043924034e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.893730215359092 y1[1] (numeric) = 1.893730215359041 absolute error = 5.040412531798211e-14 relative error = 2.661631784146424e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.036999999999887 y2[1] (analytic) = 1.893281163729142 y2[1] (numeric) = 1.893281163729077 absolute error = 6.505906924303417e-14 relative error = 3.4363131313729e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.893281163729142 y1[1] (numeric) = 1.893281163729092 absolute error = 5.062616992290714e-14 relative error = 2.67399110564171e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.037999999999887 y2[1] (analytic) = 1.892831218818104 y2[1] (numeric) = 1.892831218818039 absolute error = 6.52811138479592e-14 relative error = 3.44886079640641e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.892831218818104 y1[1] (numeric) = 1.892831218818053 absolute error = 5.084821452783217e-14 relative error = 2.686357559105673e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.038999999999886 y2[1] (analytic) = 1.892380381075921 y2[1] (numeric) = 1.892380381075855 absolute error = 6.550315845288424e-14 relative error = 3.461416061375681e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.892380381075921 y1[1] (numeric) = 1.89238038107587 absolute error = 5.10702591327572e-14 relative error = 2.698731166496293e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.039999999999886 y2[1] (analytic) = 1.891928650953431 y2[1] (numeric) = 1.891928650953365 absolute error = 6.572520305780927e-14 relative error = 3.473978948661054e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.891928650953431 y1[1] (numeric) = 1.89192865095338 absolute error = 5.129230373768223e-14 relative error = 2.711111949799674e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.040999999999886 y2[1] (analytic) = 1.891476028902365 y2[1] (numeric) = 1.891476028902299 absolute error = 6.59472476627343e-14 relative error = 3.486549480672187e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.891476028902365 y1[1] (numeric) = 1.891476028902313 absolute error = 5.151434834260726e-14 relative error = 2.723499931030126e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.041999999999886 y2[1] (analytic) = 1.891022515375344 y2[1] (numeric) = 1.891022515375278 absolute error = 6.616929226765933e-14 relative error = 3.499127679848147e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.891022515375344 y1[1] (numeric) = 1.891022515375292 absolute error = 5.173639294753229e-14 relative error = 2.735895132230262e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.042999999999886 y2[1] (analytic) = 1.890568110825882 y2[1] (numeric) = 1.890568110825815 absolute error = 6.639133687258436e-14 relative error = 3.511713568657506e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.890568110825882 y1[1] (numeric) = 1.89056811082583 absolute error = 5.195843755245733e-14 relative error = 2.748297575471092e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.043999999999886 y2[1] (analytic) = 1.890112815708383 y2[1] (numeric) = 1.890112815708316 absolute error = 6.661338147750939e-14 relative error = 3.524307169598435e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.890112815708383 y1[1] (numeric) = 1.890112815708331 absolute error = 5.218048215738236e-14 relative error = 2.760707282852108e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.044999999999886 y2[1] (analytic) = 1.889656630478143 y2[1] (numeric) = 1.889656630478076 absolute error = 6.683542608243442e-14 relative error = 3.536908505198797e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.889656630478143 y1[1] (numeric) = 1.88965663047809 absolute error = 5.240252676230739e-14 relative error = 2.773124276501382e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.045999999999886 y2[1] (analytic) = 1.889199555591346 y2[1] (numeric) = 1.889199555591279 absolute error = 6.683542608243442e-14 relative error = 3.537764228486387e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.889199555591346 y1[1] (numeric) = 1.889199555591293 absolute error = 5.240252676230739e-14 relative error = 2.773795209045805e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.046999999999886 y2[1] (analytic) = 1.888741591505068 y2[1] (numeric) = 1.888741591505001 absolute error = 6.705747068735946e-14 relative error = 3.550378251263258e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.888741591505068 y1[1] (numeric) = 1.888741591505015 absolute error = 5.262457136723242e-14 relative error = 2.786223991885404e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.047999999999885 y2[1] (analytic) = 1.888282738677272 y2[1] (numeric) = 1.888282738677205 absolute error = 6.727951529228449e-14 relative error = 3.563000069545373e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.888282738677272 y1[1] (numeric) = 1.888282738677219 absolute error = 5.284661597215745e-14 relative error = 2.798660120632999e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.048999999999885 y2[1] (analytic) = 1.887822997566812 y2[1] (numeric) = 1.887822997566745 absolute error = 6.750155989720952e-14 relative error = 3.575629705974093e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.887822997566812 y1[1] (numeric) = 1.887822997566759 absolute error = 5.306866057708248e-14 relative error = 2.811103617525685e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.049999999999885 y2[1] (analytic) = 1.887362368633428 y2[1] (numeric) = 1.887362368633361 absolute error = 6.772360450213455e-14 relative error = 3.58826718322093e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.887362368633428 y1[1] (numeric) = 1.887362368633375 absolute error = 5.329070518200751e-14 relative error = 2.823554504829584e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.050999999999885 y2[1] (analytic) = 1.88690085233775 y2[1] (numeric) = 1.886900852337682 absolute error = 6.794564910705958e-14 relative error = 3.600912523987641e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.88690085233775 y1[1] (numeric) = 1.886900852337696 absolute error = 5.351274978693255e-14 relative error = 2.836012804839939e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.051999999999885 y2[1] (analytic) = 1.886438449141293 y2[1] (numeric) = 1.886438449141225 absolute error = 6.794564910705958e-14 relative error = 3.601795178527476e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.886438449141293 y1[1] (numeric) = 1.886438449141239 absolute error = 5.351274978693255e-14 relative error = 2.836707967402359e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.052999999999885 y2[1] (analytic) = 1.885975159506461 y2[1] (numeric) = 1.885975159506392 absolute error = 6.838973831690964e-14 relative error = 3.626226887039514e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.885975159506461 y1[1] (numeric) = 1.885975159506407 absolute error = 5.373479439185758e-14 relative error = 2.849178268388189e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.053999999999885 y2[1] (analytic) = 1.885510983896543 y2[1] (numeric) = 1.885510983896475 absolute error = 6.838973831690964e-14 relative error = 3.627119592566752e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.885510983896543 y1[1] (numeric) = 1.885510983896489 absolute error = 5.373479439185758e-14 relative error = 2.849879679873876e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.054999999999885 y2[1] (analytic) = 1.885045922775715 y2[1] (numeric) = 1.885045922775646 absolute error = 6.861178292183467e-14 relative error = 3.639793709683443e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.885045922775715 y1[1] (numeric) = 1.885045922775661 absolute error = 5.395683899678261e-14 relative error = 2.862362043537464e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.055999999999885 y2[1] (analytic) = 1.884579976609038 y2[1] (numeric) = 1.884579976608969 absolute error = 6.883382752675971e-14 relative error = 3.652475797318709e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.884579976609038 y1[1] (numeric) = 1.884579976608984 absolute error = 5.417888360170764e-14 relative error = 2.874851917889565e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.056999999999884 y2[1] (analytic) = 1.884113145862458 y2[1] (numeric) = 1.884113145862389 absolute error = 6.905587213168474e-14 relative error = 3.665165878351441e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.884113145862458 y1[1] (numeric) = 1.884113145862404 absolute error = 5.440092820663267e-14 relative error = 2.887349325389399e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.057999999999884 y2[1] (analytic) = 1.883645431002806 y2[1] (numeric) = 1.883645431002737 absolute error = 6.905587213168474e-14 relative error = 3.666075950128316e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.883645431002806 y1[1] (numeric) = 1.883645431002752 absolute error = 5.440092820663267e-14 relative error = 2.888066262962821e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.058999999999884 y2[1] (analytic) = 1.883176832497797 y2[1] (numeric) = 1.883176832497727 absolute error = 6.94999613415348e-14 relative error = 3.690570112279464e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.883176832497797 y1[1] (numeric) = 1.883176832497742 absolute error = 5.46229728115577e-14 relative error = 2.900575870992806e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.059999999999884 y2[1] (analytic) = 1.882707350816029 y2[1] (numeric) = 1.882707350815959 absolute error = 6.972200594645983e-14 relative error = 3.703284311087434e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.882707350816029 y1[1] (numeric) = 1.882707350815974 absolute error = 5.484501741648273e-14 relative error = 2.913093072734382e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.060999999999884 y2[1] (analytic) = 1.882236986426983 y2[1] (numeric) = 1.882236986426913 absolute error = 6.994405055138486e-14 relative error = 3.716006595118418e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.882236986426983 y1[1] (numeric) = 1.882236986426928 absolute error = 5.506706202140776e-14 relative error = 2.925617890759898e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.061999999999884 y2[1] (analytic) = 1.881765739801025 y2[1] (numeric) = 1.881765739800954 absolute error = 7.016609515630989e-14 relative error = 3.728736987406794e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.881765739801025 y1[1] (numeric) = 1.881765739800969 absolute error = 5.52891066263328e-14 relative error = 2.938150347671809e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.062999999999884 y2[1] (analytic) = 1.8812936114094 y2[1] (numeric) = 1.881293611409329 absolute error = 7.016609515630989e-14 relative error = 3.729672749153914e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.8812936114094 y1[1] (numeric) = 1.881293611409344 absolute error = 5.52891066263328e-14 relative error = 2.938887704238368e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.063999999999884 y2[1] (analytic) = 1.880820601724237 y2[1] (numeric) = 1.880820601724167 absolute error = 7.016609515630989e-14 relative error = 3.73061072874177e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.880820601724237 y1[1] (numeric) = 1.880820601724182 absolute error = 5.52891066263328e-14 relative error = 2.939626808407281e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.064999999999884 y2[1] (analytic) = 1.880346711218546 y2[1] (numeric) = 1.880346711218475 absolute error = 7.061018436615996e-14 relative error = 3.755168339162383e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.880346711218546 y1[1] (numeric) = 1.88034671121849 absolute error = 5.551115123125783e-14 relative error = 2.952176367266024e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.065999999999883 y2[1] (analytic) = 1.879871940366217 y2[1] (numeric) = 1.879871940366146 absolute error = 7.083222897108499e-14 relative error = 3.767928413107023e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.879871940366217 y1[1] (numeric) = 1.879871940366161 absolute error = 5.573319583618286e-14 relative error = 2.964733641661011e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.066999999999883 y2[1] (analytic) = 1.879396289642021 y2[1] (numeric) = 1.87939628964195 absolute error = 7.083222897108499e-14 relative error = 3.768882026715973e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.879396289642021 y1[1] (numeric) = 1.879396289641965 absolute error = 5.573319583618286e-14 relative error = 2.965483977133884e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.067999999999883 y2[1] (analytic) = 1.878919759521609 y2[1] (numeric) = 1.878919759521537 absolute error = 7.105427357601002e-14 relative error = 3.781655561177405e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.878919759521609 y1[1] (numeric) = 1.878919759521553 absolute error = 5.595524044110789e-14 relative error = 2.978053754427206e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.068999999999883 y2[1] (analytic) = 1.87844235048151 y2[1] (numeric) = 1.878442350481439 absolute error = 7.127631818093505e-14 relative error = 3.794437351918969e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.87844235048151 y1[1] (numeric) = 1.878442350481454 absolute error = 5.617728504603292e-14 relative error = 2.990631308521804e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.069999999999883 y2[1] (analytic) = 1.877964062999134 y2[1] (numeric) = 1.877964062999063 absolute error = 7.149836278586008e-14 relative error = 3.807227422215749e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.877964062999134 y1[1] (numeric) = 1.877964062999078 absolute error = 5.639932965095795e-14 relative error = 3.003216662244721e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.070999999999883 y2[1] (analytic) = 1.877484897552768 y2[1] (numeric) = 1.877484897552697 absolute error = 7.149836278586008e-14 relative error = 3.808199090126133e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.877484897552768 y1[1] (numeric) = 1.877484897552712 absolute error = 5.639932965095795e-14 relative error = 3.003983133205086e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.071999999999883 y2[1] (analytic) = 1.877004854621578 y2[1] (numeric) = 1.877004854621506 absolute error = 7.194245199571014e-14 relative error = 3.832832494736111e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.877004854621578 y1[1] (numeric) = 1.877004854621521 absolute error = 5.684341886080801e-14 relative error = 3.028410860038408e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.072999999999883 y2[1] (analytic) = 1.876523934685606 y2[1] (numeric) = 1.876523934685534 absolute error = 7.194245199571014e-14 relative error = 3.833814781998153e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.876523934685606 y1[1] (numeric) = 1.87652393468555 absolute error = 5.684341886080801e-14 relative error = 3.029186988245454e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.073999999999883 y2[1] (analytic) = 1.876042138225773 y2[1] (numeric) = 1.876042138225701 absolute error = 7.238654120556021e-14 relative error = 3.858470965583867e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.876042138225773 y1[1] (numeric) = 1.876042138225716 absolute error = 5.728750807065808e-14 relative error = 3.053636531044901e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.074999999999882 y2[1] (analytic) = 1.875559465723875 y2[1] (numeric) = 1.875559465723802 absolute error = 7.238654120556021e-14 relative error = 3.859463937477585e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.875559465723875 y1[1] (numeric) = 1.875559465723817 absolute error = 5.728750807065808e-14 relative error = 3.054422379966923e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.075999999999882 y2[1] (analytic) = 1.875075917662583 y2[1] (numeric) = 1.875075917662511 absolute error = 7.260858581048524e-14 relative error = 3.872301122665852e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.875075917662583 y1[1] (numeric) = 1.875075917662526 absolute error = 5.750955267558311e-14 relative error = 3.067051959542678e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.076999999999882 y2[1] (analytic) = 1.874591494525447 y2[1] (numeric) = 1.874591494525375 absolute error = 7.260858581048524e-14 relative error = 3.873301784550458e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.874591494525447 y1[1] (numeric) = 1.87459149452539 absolute error = 5.750955267558311e-14 relative error = 3.067844532717335e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.077999999999882 y2[1] (analytic) = 1.87410619679689 y2[1] (numeric) = 1.874106196796817 absolute error = 7.283063041541027e-14 relative error = 3.886152798592099e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.87410619679689 y1[1] (numeric) = 1.874106196796832 absolute error = 5.773159728050814e-14 relative error = 3.080486974493737e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.078999999999882 y2[1] (analytic) = 1.873620024962208 y2[1] (numeric) = 1.873620024962135 absolute error = 7.30526750203353e-14 relative error = 3.899012288887594e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.873620024962208 y1[1] (numeric) = 1.87362002496215 absolute error = 5.795364188543317e-14 relative error = 3.093137408509611e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.079999999999882 y2[1] (analytic) = 1.873132979507574 y2[1] (numeric) = 1.873132979507501 absolute error = 7.30526750203353e-14 relative error = 3.900026096360764e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.873132979507574 y1[1] (numeric) = 1.873132979507516 absolute error = 5.795364188543317e-14 relative error = 3.093941675228448e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.080999999999882 y2[1] (analytic) = 1.872645060920034 y2[1] (numeric) = 1.87264506091996 absolute error = 7.349676423018536e-14 relative error = 3.924756792623386e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.872645060920034 y1[1] (numeric) = 1.872645060919975 absolute error = 5.839773109528323e-14 relative error = 3.118462345800455e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.081999999999882 y2[1] (analytic) = 1.872156269687505 y2[1] (numeric) = 1.872156269687431 absolute error = 7.349676423018536e-14 relative error = 3.925781486310074e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.872156269687505 y1[1] (numeric) = 1.872156269687446 absolute error = 5.839773109528323e-14 relative error = 3.119276528397431e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.082999999999882 y2[1] (analytic) = 1.871666606298779 y2[1] (numeric) = 1.871666606298705 absolute error = 7.371880883511039e-14 relative error = 3.93867201493162e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.871666606298779 y1[1] (numeric) = 1.87166660629872 absolute error = 5.861977570020827e-14 relative error = 3.131956060066108e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.083999999999882 y2[1] (analytic) = 1.871176071243519 y2[1] (numeric) = 1.871176071243446 absolute error = 7.371880883511039e-14 relative error = 3.939704550952247e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.871176071243519 y1[1] (numeric) = 1.871176071243461 absolute error = 5.861977570020827e-14 relative error = 3.132777112805401e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.084999999999881 y2[1] (analytic) = 1.870684665012261 y2[1] (numeric) = 1.870684665012188 absolute error = 7.394085344003543e-14 relative error = 3.952609160857732e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.870684665012261 y1[1] (numeric) = 1.870684665012203 absolute error = 5.88418203051333e-14 relative error = 3.145469752634532e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.085999999999881 y2[1] (analytic) = 1.870192388096411 y2[1] (numeric) = 1.870192388096337 absolute error = 7.394085344003543e-14 relative error = 3.953649576945219e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.870192388096411 y1[1] (numeric) = 1.870192388096352 absolute error = 5.88418203051333e-14 relative error = 3.146297711382832e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.086999999999881 y2[1] (analytic) = 1.869699240988245 y2[1] (numeric) = 1.869699240988171 absolute error = 7.438494264988549e-14 relative error = 3.97844428767959e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.869699240988245 y1[1] (numeric) = 1.869699240988186 absolute error = 5.906386491005833e-14 relative error = 3.15900352394857e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.087999999999881 y2[1] (analytic) = 1.86920522418091 y2[1] (numeric) = 1.869205224180836 absolute error = 7.460698725481052e-14 relative error = 3.991374852245208e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.86920522418091 y1[1] (numeric) = 1.869205224180851 absolute error = 5.928590951498336e-14 relative error = 3.171717516516281e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.088999999999881 y2[1] (analytic) = 1.868710338168424 y2[1] (numeric) = 1.868710338168349 absolute error = 7.460698725481052e-14 relative error = 3.992431878336744e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.868710338168424 y1[1] (numeric) = 1.868710338168365 absolute error = 5.928590951498336e-14 relative error = 3.172557474749734e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.089999999999881 y2[1] (analytic) = 1.868214583445672 y2[1] (numeric) = 1.868214583445597 absolute error = 7.482903185973555e-14 relative error = 4.005376712225607e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.868214583445672 y1[1] (numeric) = 1.868214583445612 absolute error = 5.928590951498336e-14 relative error = 3.173399353603077e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.090999999999881 y2[1] (analytic) = 1.867717960508408 y2[1] (numeric) = 1.867717960508333 absolute error = 7.505107646466058e-14 relative error = 4.018330286026218e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.867717960508408 y1[1] (numeric) = 1.867717960508349 absolute error = 5.950795411990839e-14 relative error = 3.18613170607996e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.091999999999881 y2[1] (analytic) = 1.867220469853257 y2[1] (numeric) = 1.867220469853182 absolute error = 7.527312106958561e-14 relative error = 4.03129262370936e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.867220469853257 y1[1] (numeric) = 1.867220469853197 absolute error = 5.972999872483342e-14 relative error = 3.198872317928667e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.092999999999881 y2[1] (analytic) = 1.866722111977708 y2[1] (numeric) = 1.866722111977632 absolute error = 7.549516567451064e-14 relative error = 4.044263749280118e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.866722111977708 y1[1] (numeric) = 1.866722111977648 absolute error = 5.972999872483342e-14 relative error = 3.199726319283387e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09399999999988 y2[1] (analytic) = 1.866222887380119 y2[1] (numeric) = 1.866222887380043 absolute error = 7.571721027943568e-14 relative error = 4.057243686777983e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.866222887380119 y1[1] (numeric) = 1.866222887380059 absolute error = 5.995204332975845e-14 relative error = 3.212480338504561e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09499999999988 y2[1] (analytic) = 1.865722796559715 y2[1] (numeric) = 1.865722796559639 absolute error = 7.593925488436071e-14 relative error = 4.070232460276966e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.865722796559715 y1[1] (numeric) = 1.865722796559655 absolute error = 5.995204332975845e-14 relative error = 3.213341416008131e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09599999999988 y2[1] (analytic) = 1.865221840016587 y2[1] (numeric) = 1.865221840016511 absolute error = 7.616129948928574e-14 relative error = 4.083230093885694e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.865221840016587 y1[1] (numeric) = 1.865221840016527 absolute error = 6.017408793468348e-14 relative error = 3.226108907997152e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09699999999988 y2[1] (analytic) = 1.864720018251691 y2[1] (numeric) = 1.864720018251614 absolute error = 7.638334409421077e-14 relative error = 4.096236611747519e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.864720018251691 y1[1] (numeric) = 1.86472001825163 absolute error = 6.039613253960852e-14 relative error = 3.238884762777108e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09799999999988 y2[1] (analytic) = 1.864217331766848 y2[1] (numeric) = 1.864217331766771 absolute error = 7.66053886991358e-14 relative error = 4.109252038040627e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.864217331766848 y1[1] (numeric) = 1.864217331766787 absolute error = 6.061817714453355e-14 relative error = 3.251669004014757e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09899999999988 y2[1] (analytic) = 1.863713781064746 y2[1] (numeric) = 1.863713781064669 absolute error = 7.682743330406083e-14 relative error = 4.122276396978139e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.863713781064746 y1[1] (numeric) = 1.863713781064685 absolute error = 6.084022174945858e-14 relative error = 3.264461655410433e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09999999999988 y2[1] (analytic) = 1.863209366648934 y2[1] (numeric) = 1.863209366648857 absolute error = 7.704947790898586e-14 relative error = 4.135309712808218e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.863209366648934 y1[1] (numeric) = 1.863209366648873 absolute error = 6.106226635438361e-14 relative error = 3.277262740698155e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.10099999999988 y2[1] (analytic) = 1.862704089023828 y2[1] (numeric) = 1.862704089023751 absolute error = 7.72715225139109e-14 relative error = 4.14835200981418e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.862704089023828 y1[1] (numeric) = 1.862704089023767 absolute error = 6.128431095930864e-14 relative error = 3.290072283645729e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.10199999999988 y2[1] (analytic) = 1.862197948694705 y2[1] (numeric) = 1.862197948694628 absolute error = 7.749356711883593e-14 relative error = 4.161403312314596e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.862197948694705 y1[1] (numeric) = 1.862197948694644 absolute error = 6.150635556423367e-14 relative error = 3.302890308054851e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.102999999999879 y2[1] (analytic) = 1.861690946167705 y2[1] (numeric) = 1.861690946167628 absolute error = 7.749356711883593e-14 relative error = 4.16253660567865e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.861690946167705 y1[1] (numeric) = 1.861690946167644 absolute error = 6.150635556423367e-14 relative error = 3.303789798776464e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.103999999999879 y2[1] (analytic) = 1.861183081949831 y2[1] (numeric) = 1.861183081949753 absolute error = 7.793765632868599e-14 relative error = 4.187533031250004e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.861183081949831 y1[1] (numeric) = 1.861183081949769 absolute error = 6.195044477408373e-14 relative error = 3.328551896634618e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.104999999999879 y2[1] (analytic) = 1.860674356548946 y2[1] (numeric) = 1.860674356548868 absolute error = 7.815970093361102e-14 relative error = 4.200611496499386e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.860674356548946 y1[1] (numeric) = 1.860674356548884 absolute error = 6.195044477408373e-14 relative error = 3.329461953191275e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.105999999999879 y2[1] (analytic) = 1.860164770473777 y2[1] (numeric) = 1.860164770473699 absolute error = 7.838174553853605e-14 relative error = 4.213699064872222e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.860164770473777 y1[1] (numeric) = 1.860164770473715 absolute error = 6.217248937900877e-14 relative error = 3.342310872986465e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.106999999999879 y2[1] (analytic) = 1.859654324233909 y2[1] (numeric) = 1.85965432423383 absolute error = 7.860379014346108e-14 relative error = 4.226795760864977e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.859654324233909 y1[1] (numeric) = 1.859654324233846 absolute error = 6.23945339839338e-14 relative error = 3.355168386449317e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.107999999999879 y2[1] (analytic) = 1.859143018339788 y2[1] (numeric) = 1.859143018339709 absolute error = 7.882583474838611e-14 relative error = 4.23990160901002e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.859143018339788 y1[1] (numeric) = 1.859143018339726 absolute error = 6.23945339839338e-14 relative error = 3.356091132765678e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.108999999999879 y2[1] (analytic) = 1.85863085330272 y2[1] (numeric) = 1.858630853302641 absolute error = 7.904787935331115e-14 relative error = 4.253016633875732e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.85863085330272 y1[1] (numeric) = 1.858630853302658 absolute error = 6.261657858885883e-14 relative error = 3.368962614474596e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.109999999999879 y2[1] (analytic) = 1.858117829634871 y2[1] (numeric) = 1.858117829634792 absolute error = 7.926992395823618e-14 relative error = 4.266140860066613e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.858117829634871 y1[1] (numeric) = 1.858117829634808 absolute error = 6.283862319378386e-14 relative error = 3.381842754618632e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.110999999999879 y2[1] (analytic) = 1.857603947849264 y2[1] (numeric) = 1.857603947849184 absolute error = 7.949196856316121e-14 relative error = 4.279274312223395e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.857603947849264 y1[1] (numeric) = 1.857603947849201 absolute error = 6.306066779870889e-14 relative error = 3.394731577294537e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.111999999999878 y2[1] (analytic) = 1.85708920845978 y2[1] (numeric) = 1.8570892084597 absolute error = 7.971401316808624e-14 relative error = 4.292417015023145e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.85708920845978 y1[1] (numeric) = 1.857089208459717 absolute error = 6.328271240363392e-14 relative error = 3.407629106633973e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.112999999999878 y2[1] (analytic) = 1.856573611981159 y2[1] (numeric) = 1.856573611981079 absolute error = 7.971401316808624e-14 relative error = 4.293609079309439e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.856573611981159 y1[1] (numeric) = 1.856573611981096 absolute error = 6.328271240363392e-14 relative error = 3.408575452933677e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.113999999999878 y2[1] (analytic) = 1.856057158928998 y2[1] (numeric) = 1.856057158928918 absolute error = 7.993605777301127e-14 relative error = 4.306767029693032e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.856057158928998 y1[1] (numeric) = 1.856057158928934 absolute error = 6.350475700855895e-14 relative error = 3.421487140256131e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.114999999999878 y2[1] (analytic) = 1.855539849819749 y2[1] (numeric) = 1.855539849819669 absolute error = 8.01581023779363e-14 relative error = 4.319934297596629e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.855539849819749 y1[1] (numeric) = 1.855539849819685 absolute error = 6.372680161348399e-14 relative error = 3.434407599474328e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.115999999999878 y2[1] (analytic) = 1.855021685170721 y2[1] (numeric) = 1.855021685170641 absolute error = 8.038014698286133e-14 relative error = 4.333110907836303e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.855021685170721 y1[1] (numeric) = 1.855021685170657 absolute error = 6.394884621840902e-14 relative error = 3.447336854853191e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.116999999999878 y2[1] (analytic) = 1.85450266550008 y2[1] (numeric) = 1.854502665499999 absolute error = 8.060219158778636e-14 relative error = 4.346296885265e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.85450266550008 y1[1] (numeric) = 1.854502665500016 absolute error = 6.417089082333405e-14 relative error = 3.460274930693072e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.117999999999878 y2[1] (analytic) = 1.853982791326844 y2[1] (numeric) = 1.853982791326763 absolute error = 8.08242361927114e-14 relative error = 4.359492254772642e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.853982791326844 y1[1] (numeric) = 1.85398279132678 absolute error = 6.439293542825908e-14 relative error = 3.473221851329852e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.118999999999878 y2[1] (analytic) = 1.853462063170888 y2[1] (numeric) = 1.853462063170807 absolute error = 8.104628079763643e-14 relative error = 4.372697041286246e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.853462063170888 y1[1] (numeric) = 1.853462063170824 absolute error = 6.461498003318411e-14 relative error = 3.486177641135061e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.119999999999878 y2[1] (analytic) = 1.85294048155294 y2[1] (numeric) = 1.852940481552859 absolute error = 8.126832540256146e-14 relative error = 4.385911269770029e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.85294048155294 y1[1] (numeric) = 1.852940481552876 absolute error = 6.461498003318411e-14 relative error = 3.487158960390925e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.120999999999877 y2[1] (analytic) = 1.852418046994582 y2[1] (numeric) = 1.8524180469945 absolute error = 8.126832540256146e-14 relative error = 4.387148221451071e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.852418046994582 y1[1] (numeric) = 1.852418046994517 absolute error = 6.461498003318411e-14 relative error = 3.488142438366836e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.121999999999877 y2[1] (analytic) = 1.851894760018247 y2[1] (numeric) = 1.851894760018166 absolute error = 8.149037000748649e-14 relative error = 4.400378021841994e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.851894760018247 y1[1] (numeric) = 1.851894760018183 absolute error = 6.483702463810914e-14 relative error = 3.501118208114066e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.122999999999877 y2[1] (analytic) = 1.851370621147224 y2[1] (numeric) = 1.851370621147142 absolute error = 8.171241461241152e-14 relative error = 4.413617331886656e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.851370621147224 y1[1] (numeric) = 1.851370621147159 absolute error = 6.505906924303417e-14 relative error = 3.514102930007582e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.123999999999877 y2[1] (analytic) = 1.85084563090565 y2[1] (numeric) = 1.850845630905569 absolute error = 8.193445921733655e-14 relative error = 4.426866176691604e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.85084563090565 y1[1] (numeric) = 1.850845630905585 absolute error = 6.52811138479592e-14 relative error = 3.527096628583554e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.124999999999877 y2[1] (analytic) = 1.850319789818517 y2[1] (numeric) = 1.850319789818435 absolute error = 8.193445921733655e-14 relative error = 4.428124244694636e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.850319789818517 y1[1] (numeric) = 1.850319789818451 absolute error = 6.52811138479592e-14 relative error = 3.528098991707921e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.125999999999877 y2[1] (analytic) = 1.849793098411664 y2[1] (numeric) = 1.849793098411582 absolute error = 8.215650382226158e-14 relative error = 4.441388817636186e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.849793098411664 y1[1] (numeric) = 1.849793098411599 absolute error = 6.550315845288424e-14 relative error = 3.54110730054777e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.126999999999877 y2[1] (analytic) = 1.849265557211784 y2[1] (numeric) = 1.849265557211702 absolute error = 8.237854842718662e-14 relative error = 4.454662993420601e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.849265557211784 y1[1] (numeric) = 1.849265557211718 absolute error = 6.572520305780927e-14 relative error = 3.554124652432609e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.127999999999877 y2[1] (analytic) = 1.848737166746417 y2[1] (numeric) = 1.848737166746335 absolute error = 8.260059303211165e-14 relative error = 4.467946797298395e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.848737166746417 y1[1] (numeric) = 1.848737166746351 absolute error = 6.59472476627343e-14 relative error = 3.567151072036622e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.128999999999877 y2[1] (analytic) = 1.848207927543955 y2[1] (numeric) = 1.848207927543872 absolute error = 8.260059303211165e-14 relative error = 4.469226205618427e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.848207927543955 y1[1] (numeric) = 1.848207927543889 absolute error = 6.59472476627343e-14 relative error = 3.568172535130841e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.129999999999876 y2[1] (analytic) = 1.847677840133635 y2[1] (numeric) = 1.847677840133552 absolute error = 8.304468224196171e-14 relative error = 4.494543390527183e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.847677840133635 y1[1] (numeric) = 1.847677840133569 absolute error = 6.616929226765933e-14 relative error = 3.58121371758583e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.130999999999876 y2[1] (analytic) = 1.847146905045546 y2[1] (numeric) = 1.847146905045463 absolute error = 8.304468224196171e-14 relative error = 4.495835280622362e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.847146905045546 y1[1] (numeric) = 1.84714690504548 absolute error = 6.616929226765933e-14 relative error = 3.582243084560064e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.131999999999876 y2[1] (analytic) = 1.846615122810623 y2[1] (numeric) = 1.84661512281054 absolute error = 8.326672684688674e-14 relative error = 4.509154388389899e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.846615122810623 y1[1] (numeric) = 1.846615122810557 absolute error = 6.639133687258436e-14 relative error = 3.595299099009547e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.132999999999876 y2[1] (analytic) = 1.846082493960647 y2[1] (numeric) = 1.846082493960564 absolute error = 8.348877145181177e-14 relative error = 4.52248324356796e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.846082493960647 y1[1] (numeric) = 1.846082493960581 absolute error = 6.661338147750939e-14 relative error = 3.608364290080819e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.133999999999876 y2[1] (analytic) = 1.845549019028248 y2[1] (numeric) = 1.845549019028164 absolute error = 8.348877145181177e-14 relative error = 4.523790513880352e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.845549019028248 y1[1] (numeric) = 1.845549019028181 absolute error = 6.661338147750939e-14 relative error = 3.609407324904536e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.134999999999876 y2[1] (analytic) = 1.8450146985469 y2[1] (numeric) = 1.845014698546817 absolute error = 8.37108160567368e-14 relative error = 4.53713545603002e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.8450146985469 y1[1] (numeric) = 1.845014698546833 absolute error = 6.683542608243442e-14 relative error = 3.622487459588955e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.135999999999876 y2[1] (analytic) = 1.844479533050924 y2[1] (numeric) = 1.844479533050841 absolute error = 8.393286066166183e-14 relative error = 4.55049021459348e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.844479533050924 y1[1] (numeric) = 1.844479533050857 absolute error = 6.705747068735946e-14 relative error = 3.635576838114368e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.136999999999876 y2[1] (analytic) = 1.843943523075486 y2[1] (numeric) = 1.843943523075402 absolute error = 8.415490526658687e-14 relative error = 4.56385481515324e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.843943523075486 y1[1] (numeric) = 1.843943523075419 absolute error = 6.705747068735946e-14 relative error = 3.636633652180155e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.137999999999876 y2[1] (analytic) = 1.843406669156595 y2[1] (numeric) = 1.84340666915651 absolute error = 8.43769498715119e-14 relative error = 4.57722928333098e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.843406669156595 y1[1] (numeric) = 1.843406669156527 absolute error = 6.727951529228449e-14 relative error = 3.649738086445492e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.138999999999875 y2[1] (analytic) = 1.842868971831105 y2[1] (numeric) = 1.84286897183102 absolute error = 8.459899447643693e-14 relative error = 4.59061364478767e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.842868971831105 y1[1] (numeric) = 1.842868971831037 absolute error = 6.750155989720952e-14 relative error = 3.662851832061553e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.139999999999875 y2[1] (analytic) = 1.842330431636713 y2[1] (numeric) = 1.842330431636628 absolute error = 8.482103908136196e-14 relative error = 4.604007925223684e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.842330431636713 y1[1] (numeric) = 1.842330431636645 absolute error = 6.750155989720952e-14 relative error = 3.663922537350785e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.140999999999875 y2[1] (analytic) = 1.84179104911196 y2[1] (numeric) = 1.841791049111875 absolute error = 8.504308368628699e-14 relative error = 4.617412150378919e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.84179104911196 y1[1] (numeric) = 1.841791049111892 absolute error = 6.772360450213455e-14 relative error = 3.677051451346137e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.141999999999875 y2[1] (analytic) = 1.841250824796228 y2[1] (numeric) = 1.841250824796142 absolute error = 8.526512829121202e-14 relative error = 4.630826346032914e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.841250824796228 y1[1] (numeric) = 1.84125082479616 absolute error = 6.772360450213455e-14 relative error = 3.678130300885517e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.142999999999875 y2[1] (analytic) = 1.840709759229741 y2[1] (numeric) = 1.840709759229655 absolute error = 8.548717289613705e-14 relative error = 4.644250538004961e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.840709759229741 y1[1] (numeric) = 1.840709759229673 absolute error = 6.794564910705958e-14 relative error = 3.691274453583163e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.143999999999875 y2[1] (analytic) = 1.840167852953565 y2[1] (numeric) = 1.840167852953479 absolute error = 8.570921750106208e-14 relative error = 4.657684752154231e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.840167852953565 y1[1] (numeric) = 1.840167852953497 absolute error = 6.816769371198461e-14 relative error = 3.704428028267743e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.144999999999875 y2[1] (analytic) = 1.839625106509606 y2[1] (numeric) = 1.83962510650952 absolute error = 8.593126210598712e-14 relative error = 4.671129014379888e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.839625106509606 y1[1] (numeric) = 1.839625106509537 absolute error = 6.838973831690964e-14 relative error = 3.717591050204149e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.145999999999875 y2[1] (analytic) = 1.83908152044061 y2[1] (numeric) = 1.839081520440524 absolute error = 8.615330671091215e-14 relative error = 4.684583350621205e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.83908152044061 y1[1] (numeric) = 1.839081520440542 absolute error = 6.861178292183467e-14 relative error = 3.730763544695754e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.146999999999875 y2[1] (analytic) = 1.838537095290165 y2[1] (numeric) = 1.838537095290078 absolute error = 8.659739592076221e-14 relative error = 4.710125030525702e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.838537095290165 y1[1] (numeric) = 1.838537095290096 absolute error = 6.883382752675971e-14 relative error = 3.743945537084532e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.147999999999874 y2[1] (analytic) = 1.837991831602693 y2[1] (numeric) = 1.837991831602606 absolute error = 8.681944052568724e-14 relative error = 4.723603175645366e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.837991831602693 y1[1] (numeric) = 1.837991831602624 absolute error = 6.905587213168474e-14 relative error = 3.757137052751174e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.148999999999874 y2[1] (analytic) = 1.83744572992346 y2[1] (numeric) = 1.837445729923373 absolute error = 8.704148513061227e-14 relative error = 4.737091480478068e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.83744572992346 y1[1] (numeric) = 1.837445729923391 absolute error = 6.927791673660977e-14 relative error = 3.770338117115197e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.149999999999874 y2[1] (analytic) = 1.836898790798567 y2[1] (numeric) = 1.836898790798479 absolute error = 8.72635297355373e-14 relative error = 4.750589971132851e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.836898790798567 y1[1] (numeric) = 1.836898790798497 absolute error = 6.94999613415348e-14 relative error = 3.783548755635069e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.150999999999874 y2[1] (analytic) = 1.836351014774952 y2[1] (numeric) = 1.836351014774865 absolute error = 8.748557434046234e-14 relative error = 4.764098673759484e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.836351014774952 y1[1] (numeric) = 1.836351014774882 absolute error = 6.972200594645983e-14 relative error = 3.79676899380832e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.151999999999874 y2[1] (analytic) = 1.835802402400393 y2[1] (numeric) = 1.835802402400305 absolute error = 8.770761894538737e-14 relative error = 4.777617614548591e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.835802402400393 y1[1] (numeric) = 1.835802402400323 absolute error = 6.972200594645983e-14 relative error = 3.797903622704449e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.152999999999874 y2[1] (analytic) = 1.835252954223501 y2[1] (numeric) = 1.835252954223413 absolute error = 8.79296635503124e-14 relative error = 4.791146819731759e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.835252954223501 y1[1] (numeric) = 1.835252954223431 absolute error = 6.994405055138486e-14 relative error = 3.811139515695717e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.153999999999874 y2[1] (analytic) = 1.834702670793724 y2[1] (numeric) = 1.834702670793636 absolute error = 8.815170815523743e-14 relative error = 4.804686315581668e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.834702670793724 y1[1] (numeric) = 1.834702670793654 absolute error = 7.016609515630989e-14 relative error = 3.824385077389943e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.154999999999874 y2[1] (analytic) = 1.834151552661346 y2[1] (numeric) = 1.834151552661257 absolute error = 8.837375276016246e-14 relative error = 4.81823612841221e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.834151552661346 y1[1] (numeric) = 1.834151552661275 absolute error = 7.038813976123492e-14 relative error = 3.837640333433846e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.155999999999874 y2[1] (analytic) = 1.833599600377485 y2[1] (numeric) = 1.833599600377396 absolute error = 8.859579736508749e-14 relative error = 4.831796284578608e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.833599600377485 y1[1] (numeric) = 1.833599600377414 absolute error = 7.061018436615996e-14 relative error = 3.850905309513777e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.156999999999873 y2[1] (analytic) = 1.833046814494092 y2[1] (numeric) = 1.833046814494004 absolute error = 8.859579736508749e-14 relative error = 4.833253393451345e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.833046814494092 y1[1] (numeric) = 1.833046814494022 absolute error = 7.061018436615996e-14 relative error = 3.852066614329643e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.157999999999873 y2[1] (analytic) = 1.832493195563955 y2[1] (numeric) = 1.832493195563866 absolute error = 8.881784197001252e-14 relative error = 4.846830655907487e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.832493195563955 y1[1] (numeric) = 1.832493195563884 absolute error = 7.083222897108499e-14 relative error = 3.865347448086221e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.158999999999873 y2[1] (analytic) = 1.831938744140692 y2[1] (numeric) = 1.831938744140603 absolute error = 8.903988657493755e-14 relative error = 4.86041833329441e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.831938744140692 y1[1] (numeric) = 1.831938744140621 absolute error = 7.105427357601002e-14 relative error = 3.878638071456886e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.159999999999873 y2[1] (analytic) = 1.831383460778754 y2[1] (numeric) = 1.831383460778664 absolute error = 8.948397578478762e-14 relative error = 4.88614087116068e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.831383460778754 y1[1] (numeric) = 1.831383460778682 absolute error = 7.149836278586008e-14 relative error = 3.904062929314489e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.160999999999873 y2[1] (analytic) = 1.830827346033424 y2[1] (numeric) = 1.830827346033334 absolute error = 8.970602038971265e-14 relative error = 4.899753140789877e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.830827346033424 y1[1] (numeric) = 1.830827346033352 absolute error = 7.172040739078511e-14 relative error = 3.917376892265174e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.161999999999873 y2[1] (analytic) = 1.830270400460817 y2[1] (numeric) = 1.830270400460728 absolute error = 8.970602038971265e-14 relative error = 4.901244120383898e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.830270400460817 y1[1] (numeric) = 1.830270400460746 absolute error = 7.172040739078511e-14 relative error = 3.918568937831681e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.162999999999873 y2[1] (analytic) = 1.82971262461788 y2[1] (numeric) = 1.82971262461779 absolute error = 9.015010959956271e-14 relative error = 4.927009213722281e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.82971262461788 y1[1] (numeric) = 1.829712624617808 absolute error = 7.194245199571014e-14 relative error = 3.931898978438471e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.163999999999873 y2[1] (analytic) = 1.829154019062387 y2[1] (numeric) = 1.829154019062296 absolute error = 9.015010959956271e-14 relative error = 4.92851387363067e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.829154019062387 y1[1] (numeric) = 1.829154019062315 absolute error = 7.194245199571014e-14 relative error = 3.933099741518072e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.164999999999873 y2[1] (analytic) = 1.828594584352943 y2[1] (numeric) = 1.828594584352853 absolute error = 9.037215420448774e-14 relative error = 4.942164598855921e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.828594584352943 y1[1] (numeric) = 1.828594584352871 absolute error = 7.216449660063518e-14 relative error = 3.946445932747357e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.165999999999872 y2[1] (analytic) = 1.828034321048985 y2[1] (numeric) = 1.828034321048894 absolute error = 9.059419880941277e-14 relative error = 4.955825925490661e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.828034321048985 y1[1] (numeric) = 1.828034321048913 absolute error = 7.238654120556021e-14 relative error = 3.9598020875244e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.166999999999872 y2[1] (analytic) = 1.827473229710774 y2[1] (numeric) = 1.827473229710683 absolute error = 9.081624341433781e-14 relative error = 4.969497880344375e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.827473229710774 y1[1] (numeric) = 1.827473229710702 absolute error = 7.260858581048524e-14 relative error = 3.973168231962372e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.167999999999872 y2[1] (analytic) = 1.826911310899403 y2[1] (numeric) = 1.826911310899312 absolute error = 9.103828801926284e-14 relative error = 4.983180490269337e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.826911310899403 y1[1] (numeric) = 1.82691131089933 absolute error = 7.283063041541027e-14 relative error = 3.986544392215469e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.168999999999872 y2[1] (analytic) = 1.82634856517679 y2[1] (numeric) = 1.826348565176699 absolute error = 9.126033262418787e-14 relative error = 4.99687378216074e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.82634856517679 y1[1] (numeric) = 1.826348565176717 absolute error = 7.30526750203353e-14 relative error = 3.999930594479035e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.169999999999872 y2[1] (analytic) = 1.82578499310568 y2[1] (numeric) = 1.825784993105589 absolute error = 9.14823772291129e-14 relative error = 5.010577782956819e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.82578499310568 y1[1] (numeric) = 1.825784993105607 absolute error = 7.30526750203353e-14 relative error = 4.00116526842911e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.170999999999872 y2[1] (analytic) = 1.825220595249646 y2[1] (numeric) = 1.825220595249555 absolute error = 9.170442183403793e-14 relative error = 5.024292519638973e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.825220595249646 y1[1] (numeric) = 1.825220595249573 absolute error = 7.327471962526033e-14 relative error = 4.014567872835015e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.171999999999872 y2[1] (analytic) = 1.824655372173086 y2[1] (numeric) = 1.824655372172994 absolute error = 9.192646643896296e-14 relative error = 5.0380180192319e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.824655372173086 y1[1] (numeric) = 1.824655372173013 absolute error = 7.349676423018536e-14 relative error = 4.027980590255456e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.172999999999872 y2[1] (analytic) = 1.824089324441222 y2[1] (numeric) = 1.82408932444113 absolute error = 9.214851104388799e-14 relative error = 5.051754308803713e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.824089324441222 y1[1] (numeric) = 1.824089324441148 absolute error = 7.371880883511039e-14 relative error = 4.041403447042971e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.173999999999872 y2[1] (analytic) = 1.823522452620103 y2[1] (numeric) = 1.82352245262001 absolute error = 9.237055564881302e-14 relative error = 5.065501415466077e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.823522452620103 y1[1] (numeric) = 1.823522452620029 absolute error = 7.394085344003543e-14 relative error = 4.054836469591836e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.174999999999871 y2[1] (analytic) = 1.822954757276599 y2[1] (numeric) = 1.822954757276506 absolute error = 9.259260025373806e-14 relative error = 5.079259366374329e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.822954757276599 y1[1] (numeric) = 1.822954757276525 absolute error = 7.394085344003543e-14 relative error = 4.056099206241371e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.175999999999871 y2[1] (analytic) = 1.822386238978407 y2[1] (numeric) = 1.822386238978314 absolute error = 9.281464485866309e-14 relative error = 5.093028188727606e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.822386238978407 y1[1] (numeric) = 1.822386238978333 absolute error = 7.416289804496046e-14 relative error = 4.0695488397967e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.176999999999871 y2[1] (analytic) = 1.821816898294044 y2[1] (numeric) = 1.821816898293951 absolute error = 9.303668946358812e-14 relative error = 5.106807909768979e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.821816898294044 y1[1] (numeric) = 1.82181689829397 absolute error = 7.438494264988549e-14 relative error = 4.083008710674483e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.177999999999871 y2[1] (analytic) = 1.821246735792851 y2[1] (numeric) = 1.821246735792758 absolute error = 9.325873406851315e-14 relative error = 5.120598556785575e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.821246735792851 y1[1] (numeric) = 1.821246735792777 absolute error = 7.460698725481052e-14 relative error = 4.09647884542846e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.178999999999871 y2[1] (analytic) = 1.820675752044992 y2[1] (numeric) = 1.820675752044898 absolute error = 9.348077867343818e-14 relative error = 5.134400157108707e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.820675752044992 y1[1] (numeric) = 1.820675752044917 absolute error = 7.482903185973555e-14 relative error = 4.109959270654713e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.179999999999871 y2[1] (analytic) = 1.820103947621448 y2[1] (numeric) = 1.820103947621355 absolute error = 9.348077867343818e-14 relative error = 5.136013181862548e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.820103947621448 y1[1] (numeric) = 1.820103947621373 absolute error = 7.482903185973555e-14 relative error = 4.111250456740329e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.180999999999871 y2[1] (analytic) = 1.819531323094025 y2[1] (numeric) = 1.819531323093931 absolute error = 9.392486788328824e-14 relative error = 5.162036327221536e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.819531323094025 y1[1] (numeric) = 1.81953132309395 absolute error = 7.505107646466058e-14 relative error = 4.124747703548178e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.181999999999871 y2[1] (analytic) = 1.818957879035348 y2[1] (numeric) = 1.818957879035254 absolute error = 9.392486788328824e-14 relative error = 5.163663709084877e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.818957879035348 y1[1] (numeric) = 1.818957879035273 absolute error = 7.505107646466058e-14 relative error = 4.126048070143472e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.182999999999871 y2[1] (analytic) = 1.818383616018859 y2[1] (numeric) = 1.818383616018765 absolute error = 9.436895709313831e-14 relative error = 5.189716639646601e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.818383616018859 y1[1] (numeric) = 1.818383616018784 absolute error = 7.549516567451064e-14 relative error = 4.151773311717281e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18399999999987 y2[1] (analytic) = 1.817808534618823 y2[1] (numeric) = 1.817808534618728 absolute error = 9.459100169806334e-14 relative error = 5.203573418027667e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.817808534618823 y1[1] (numeric) = 1.817808534618747 absolute error = 7.571721027943568e-14 relative error = 4.16530172663717e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18499999999987 y2[1] (analytic) = 1.81723263541032 y2[1] (numeric) = 1.817232635410226 absolute error = 9.481304630298837e-14 relative error = 5.217441314638296e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.81723263541032 y1[1] (numeric) = 1.817232635410245 absolute error = 7.571721027943568e-14 relative error = 4.166621752439483e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18599999999987 y2[1] (analytic) = 1.81665591896925 y2[1] (numeric) = 1.816655918969155 absolute error = 9.50350909079134e-14 relative error = 5.23132035712273e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.81665591896925 y1[1] (numeric) = 1.816655918969174 absolute error = 7.593925488436071e-14 relative error = 4.180167201252275e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18699999999987 y2[1] (analytic) = 1.81607838587233 y2[1] (numeric) = 1.816078385872234 absolute error = 9.525713551283843e-14 relative error = 5.245210573170437e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.81607838587233 y1[1] (numeric) = 1.816078385872253 absolute error = 7.616129948928574e-14 relative error = 4.193723138921817e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18799999999987 y2[1] (analytic) = 1.815500036697091 y2[1] (numeric) = 1.815500036696995 absolute error = 9.525713551283843e-14 relative error = 5.246881497515041e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.815500036697091 y1[1] (numeric) = 1.815500036697014 absolute error = 7.616129948928574e-14 relative error = 4.195059099411793e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18899999999987 y2[1] (analytic) = 1.814920872021883 y2[1] (numeric) = 1.814920872021788 absolute error = 9.547918011776346e-14 relative error = 5.260790241031084e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.814920872021883 y1[1] (numeric) = 1.814920872021807 absolute error = 7.638334409421077e-14 relative error = 4.208632192824867e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18999999999987 y2[1] (analytic) = 1.814340892425871 y2[1] (numeric) = 1.814340892425776 absolute error = 9.570122472268849e-14 relative error = 5.274710233462842e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.814340892425871 y1[1] (numeric) = 1.814340892425795 absolute error = 7.66053886991358e-14 relative error = 4.222215848131509e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.19099999999987 y2[1] (analytic) = 1.813760098489035 y2[1] (numeric) = 1.813760098488939 absolute error = 9.570122472268849e-14 relative error = 5.276399276972353e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.813760098489035 y1[1] (numeric) = 1.813760098488959 absolute error = 7.66053886991358e-14 relative error = 4.223567866718009e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.19199999999987 y2[1] (analytic) = 1.813178490792168 y2[1] (numeric) = 1.813178490792072 absolute error = 9.592326932761353e-14 relative error = 5.290337923968265e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.813178490792168 y1[1] (numeric) = 1.813178490792092 absolute error = 7.682743330406083e-14 relative error = 4.237168800215323e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.192999999999869 y2[1] (analytic) = 1.812596069916879 y2[1] (numeric) = 1.812596069916782 absolute error = 9.614531393253856e-14 relative error = 5.304287895589863e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.812596069916879 y1[1] (numeric) = 1.812596069916802 absolute error = 7.704947790898586e-14 relative error = 4.2507803689831e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.193999999999869 y2[1] (analytic) = 1.812012836445586 y2[1] (numeric) = 1.81201283644549 absolute error = 9.614531393253856e-14 relative error = 5.305995189368281e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.812012836445586 y1[1] (numeric) = 1.812012836445509 absolute error = 7.704947790898586e-14 relative error = 4.252148569770886e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.194999999999869 y2[1] (analytic) = 1.811428790961525 y2[1] (numeric) = 1.811428790961429 absolute error = 9.636735853746359e-14 relative error = 5.319963943286492e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.811428790961525 y1[1] (numeric) = 1.811428790961448 absolute error = 7.72715225139109e-14 relative error = 4.265777539778108e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.195999999999869 y2[1] (analytic) = 1.810843934048741 y2[1] (numeric) = 1.810843934048645 absolute error = 9.658940314238862e-14 relative error = 5.333944097900863e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.810843934048741 y1[1] (numeric) = 1.810843934048664 absolute error = 7.749356711883593e-14 relative error = 4.279417218775635e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.196999999999869 y2[1] (analytic) = 1.810258266292091 y2[1] (numeric) = 1.810258266291994 absolute error = 9.681144774731365e-14 relative error = 5.347935681332933e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.810258266292091 y1[1] (numeric) = 1.810258266292013 absolute error = 7.771561172376096e-14 relative error = 4.293067634097538e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.197999999999869 y2[1] (analytic) = 1.809671788277241 y2[1] (numeric) = 1.809671788277144 absolute error = 9.703349235223868e-14 relative error = 5.361938721750863e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.809671788277241 y1[1] (numeric) = 1.809671788277163 absolute error = 7.793765632868599e-14 relative error = 4.306728813122547e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.198999999999869 y2[1] (analytic) = 1.809084500590671 y2[1] (numeric) = 1.809084500590574 absolute error = 9.725553695716371e-14 relative error = 5.375953247369569e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.809084500590671 y1[1] (numeric) = 1.809084500590593 absolute error = 7.815970093361102e-14 relative error = 4.320400783274174e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.199999999999869 y2[1] (analytic) = 1.808496403819667 y2[1] (numeric) = 1.80849640381957 absolute error = 9.747758156208874e-14 relative error = 5.389979286450859e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.808496403819667 y1[1] (numeric) = 1.808496403819589 absolute error = 7.838174553853605e-14 relative error = 4.33408357202085e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.200999999999869 y2[1] (analytic) = 1.807907498552328 y2[1] (numeric) = 1.80790749855223 absolute error = 9.769962616701378e-14 relative error = 5.404016867303568e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.807907498552328 y1[1] (numeric) = 1.807907498552249 absolute error = 7.860379014346108e-14 relative error = 4.347777206876051e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.201999999999869 y2[1] (analytic) = 1.807317785377556 y2[1] (numeric) = 1.807317785377458 absolute error = 9.792167077193881e-14 relative error = 5.418066018283694e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.807317785377556 y1[1] (numeric) = 1.807317785377478 absolute error = 7.860379014346108e-14 relative error = 4.3491958514114e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.202999999999868 y2[1] (analytic) = 1.806727264885067 y2[1] (numeric) = 1.806727264884969 absolute error = 9.814371537686384e-14 relative error = 5.432126767794537e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.806727264885067 y1[1] (numeric) = 1.806727264884988 absolute error = 7.882583474838611e-14 relative error = 4.362907245626834e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.203999999999868 y2[1] (analytic) = 1.80613593766538 y2[1] (numeric) = 1.806135937665282 absolute error = 9.836575998178887e-14 relative error = 5.446199144286831e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.80613593766538 y1[1] (numeric) = 1.806135937665301 absolute error = 7.904787935331115e-14 relative error = 4.376629560645851e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.204999999999868 y2[1] (analytic) = 1.805543804309823 y2[1] (numeric) = 1.805543804309724 absolute error = 9.880984919163893e-14 relative error = 5.472581111340548e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.805543804309823 y1[1] (numeric) = 1.805543804309744 absolute error = 7.949196856316121e-14 relative error = 4.402660759235767e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.205999999999868 y2[1] (analytic) = 1.804950865410528 y2[1] (numeric) = 1.80495086541043 absolute error = 9.880984919163893e-14 relative error = 5.474378892256718e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.804950865410528 y1[1] (numeric) = 1.804950865410449 absolute error = 7.949196856316121e-14 relative error = 4.404107063882933e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.206999999999868 y2[1] (analytic) = 1.804357121560436 y2[1] (numeric) = 1.804357121560336 absolute error = 9.925393840148899e-14 relative error = 5.500792344015173e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.804357121560436 y1[1] (numeric) = 1.804357121560356 absolute error = 7.993605777301127e-14 relative error = 4.430168330750475e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.207999999999868 y2[1] (analytic) = 1.803762573353288 y2[1] (numeric) = 1.803762573353189 absolute error = 9.947598300641403e-14 relative error = 5.514915570150844e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.803762573353288 y1[1] (numeric) = 1.803762573353208 absolute error = 8.01581023779363e-14 relative error = 4.443938662554586e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.208999999999868 y2[1] (analytic) = 1.803167221383634 y2[1] (numeric) = 1.803167221383535 absolute error = 9.969802761133906e-14 relative error = 5.529050574401924e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.803167221383634 y1[1] (numeric) = 1.803167221383554 absolute error = 8.038014698286133e-14 relative error = 4.457720062212687e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.209999999999868 y2[1] (analytic) = 1.802571066246826 y2[1] (numeric) = 1.802571066246726 absolute error = 9.969802761133906e-14 relative error = 5.53087916910386e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.802571066246826 y1[1] (numeric) = 1.802571066246746 absolute error = 8.038014698286133e-14 relative error = 4.459194341237411e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.210999999999868 y2[1] (analytic) = 1.801974108539019 y2[1] (numeric) = 1.801974108538919 absolute error = 9.992007221626409e-14 relative error = 5.545033735100445e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.801974108539019 y1[1] (numeric) = 1.801974108538938 absolute error = 8.060219158778636e-14 relative error = 4.472993879647693e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.211999999999867 y2[1] (analytic) = 1.801376348857169 y2[1] (numeric) = 1.801376348857069 absolute error = 1.001421168211891e-13 relative error = 5.559200157408604e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.801376348857169 y1[1] (numeric) = 1.801376348857089 absolute error = 8.060219158778636e-14 relative error = 4.474478175475218e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.212999999999867 y2[1] (analytic) = 1.800777787799038 y2[1] (numeric) = 1.800777787798937 absolute error = 1.003641614261142e-13 relative error = 5.573378464912214e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.800777787799038 y1[1] (numeric) = 1.800777787798957 absolute error = 8.08242361927114e-14 relative error = 4.488295931920456e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.213999999999867 y2[1] (analytic) = 1.800178425963185 y2[1] (numeric) = 1.800178425963085 absolute error = 1.005862060310392e-13 relative error = 5.587568686543976e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.800178425963185 y1[1] (numeric) = 1.800178425963104 absolute error = 8.104628079763643e-14 relative error = 4.502124879886427e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.214999999999867 y2[1] (analytic) = 1.799578263948974 y2[1] (numeric) = 1.799578263948873 absolute error = 1.010302952408892e-13 relative error = 5.61410955360116e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.799578263948974 y1[1] (numeric) = 1.799578263948892 absolute error = 8.149037000748649e-14 relative error = 4.528303749827749e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.215999999999867 y2[1] (analytic) = 1.798977302356565 y2[1] (numeric) = 1.798977302356464 absolute error = 1.010302952408892e-13 relative error = 5.615984988167717e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.798977302356565 y1[1] (numeric) = 1.798977302356483 absolute error = 8.149037000748649e-14 relative error = 4.529816462983631e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.216999999999867 y2[1] (analytic) = 1.79837554178692 y2[1] (numeric) = 1.798375541786819 absolute error = 1.014743844507393e-13 relative error = 5.642558080494762e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.79837554178692 y1[1] (numeric) = 1.798375541786838 absolute error = 8.171241461241152e-14 relative error = 4.543679154534075e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.217999999999867 y2[1] (analytic) = 1.7977729828418 y2[1] (numeric) = 1.797772982841698 absolute error = 1.014743844507393e-13 relative error = 5.644449294723261e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.7977729828418 y1[1] (numeric) = 1.797772982841718 absolute error = 8.171241461241152e-14 relative error = 4.545202057895318e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.218999999999867 y2[1] (analytic) = 1.797169626123764 y2[1] (numeric) = 1.797169626123662 absolute error = 1.016964290556643e-13 relative error = 5.658699522704984e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.797169626123764 y1[1] (numeric) = 1.797169626123682 absolute error = 8.193445921733655e-14 relative error = 4.5590832399086e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.219999999999867 y2[1] (analytic) = 1.796565472236167 y2[1] (numeric) = 1.796565472236066 absolute error = 1.016964290556643e-13 relative error = 5.660602445458545e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.796565472236167 y1[1] (numeric) = 1.796565472236085 absolute error = 8.193445921733655e-14 relative error = 4.560616380729701e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.220999999999866 y2[1] (analytic) = 1.795960521783165 y2[1] (numeric) = 1.795960521783063 absolute error = 1.019184736605894e-13 relative error = 5.674872717101655e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.795960521783165 y1[1] (numeric) = 1.795960521783083 absolute error = 8.215650382226158e-14 relative error = 4.574516133611355e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.221999999999866 y2[1] (analytic) = 1.795354775369708 y2[1] (numeric) = 1.795354775369606 absolute error = 1.021405182655144e-13 relative error = 5.689155127820413e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.795354775369708 y1[1] (numeric) = 1.795354775369626 absolute error = 8.237854842718662e-14 relative error = 4.58842728787255e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.222999999999866 y2[1] (analytic) = 1.794748233601541 y2[1] (numeric) = 1.794748233601439 absolute error = 1.023625628704394e-13 relative error = 5.703449706983543e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.794748233601541 y1[1] (numeric) = 1.794748233601459 absolute error = 8.260059303211165e-14 relative error = 4.60234987201275e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.223999999999866 y2[1] (analytic) = 1.794140897085208 y2[1] (numeric) = 1.794140897085105 absolute error = 1.025846074753645e-13 relative error = 5.71775648400999e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.794140897085208 y1[1] (numeric) = 1.794140897085125 absolute error = 8.282263763703668e-14 relative error = 4.616283914579494e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.224999999999866 y2[1] (analytic) = 1.793532766428043 y2[1] (numeric) = 1.79353276642794 absolute error = 1.028066520802895e-13 relative error = 5.732075488369069e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.793532766428043 y1[1] (numeric) = 1.79353276642796 absolute error = 8.304468224196171e-14 relative error = 4.630229444168535e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.225999999999866 y2[1] (analytic) = 1.792923842238178 y2[1] (numeric) = 1.792923842238075 absolute error = 1.030286966852145e-13 relative error = 5.746406749580603e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.792923842238178 y1[1] (numeric) = 1.792923842238094 absolute error = 8.326672684688674e-14 relative error = 4.644186489423979e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.226999999999866 y2[1] (analytic) = 1.792314125124536 y2[1] (numeric) = 1.792314125124433 absolute error = 1.030286966852145e-13 relative error = 5.748361586898487e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.792314125124536 y1[1] (numeric) = 1.792314125124453 absolute error = 8.326672684688674e-14 relative error = 4.645766368721838e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.227999999999866 y2[1] (analytic) = 1.791703615696836 y2[1] (numeric) = 1.791703615696733 absolute error = 1.032507412901396e-13 relative error = 5.762713229218042e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.791703615696836 y1[1] (numeric) = 1.791703615696753 absolute error = 8.348877145181177e-14 relative error = 4.659742310077384e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.228999999999866 y2[1] (analytic) = 1.791092314565586 y2[1] (numeric) = 1.791092314565482 absolute error = 1.034727858950646e-13 relative error = 5.777077208896462e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.791092314565586 y1[1] (numeric) = 1.791092314565502 absolute error = 8.37108160567368e-14 relative error = 4.673729844965593e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.229999999999865 y2[1] (analytic) = 1.790480222342087 y2[1] (numeric) = 1.790480222341984 absolute error = 1.036948304999896e-13 relative error = 5.791453555647139e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.790480222342087 y1[1] (numeric) = 1.790480222342003 absolute error = 8.393286066166183e-14 relative error = 4.687729002215458e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.230999999999865 y2[1] (analytic) = 1.789867339638432 y2[1] (numeric) = 1.789867339638328 absolute error = 1.036948304999896e-13 relative error = 5.793436653296151e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.789867339638432 y1[1] (numeric) = 1.789867339638348 absolute error = 8.393286066166183e-14 relative error = 4.689334164766477e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.231999999999865 y2[1] (analytic) = 1.789253667067503 y2[1] (numeric) = 1.789253667067399 absolute error = 1.039168751049147e-13 relative error = 5.807833568687284e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.789253667067503 y1[1] (numeric) = 1.789253667067419 absolute error = 8.415490526658687e-14 relative error = 4.703352398573677e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.232999999999865 y2[1] (analytic) = 1.788639205242973 y2[1] (numeric) = 1.788639205242869 absolute error = 1.041389197098397e-13 relative error = 5.822242932201256e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.788639205242973 y1[1] (numeric) = 1.788639205242888 absolute error = 8.43769498715119e-14 relative error = 4.717382333126816e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.233999999999865 y2[1] (analytic) = 1.788023954779303 y2[1] (numeric) = 1.788023954779199 absolute error = 1.043609643147647e-13 relative error = 5.836664773747177e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.788023954779303 y1[1] (numeric) = 1.788023954779218 absolute error = 8.459899447643693e-14 relative error = 4.73142399744186e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.234999999999865 y2[1] (analytic) = 1.787407916291744 y2[1] (numeric) = 1.787407916291639 absolute error = 1.045830089196897e-13 relative error = 5.851099123285941e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.787407916291744 y1[1] (numeric) = 1.787407916291659 absolute error = 8.482103908136196e-14 relative error = 4.745477420584351e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.235999999999865 y2[1] (analytic) = 1.786791090396334 y2[1] (numeric) = 1.78679109039623 absolute error = 1.045830089196897e-13 relative error = 5.853119006570143e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.786791090396334 y1[1] (numeric) = 1.786791090396249 absolute error = 8.482103908136196e-14 relative error = 4.74711562740933e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.236999999999865 y2[1] (analytic) = 1.7861734777099 y2[1] (numeric) = 1.786173477709795 absolute error = 1.048050535246148e-13 relative error = 5.867574165247829e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.7861734777099 y1[1] (numeric) = 1.786173477709815 absolute error = 8.504308368628699e-14 relative error = 4.761188358665081e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.237999999999865 y2[1] (analytic) = 1.785555078850053 y2[1] (numeric) = 1.785555078849948 absolute error = 1.050270981295398e-13 relative error = 5.882041913665311e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.785555078850053 y1[1] (numeric) = 1.785555078849968 absolute error = 8.504308368628699e-14 relative error = 4.762837321213137e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.238999999999864 y2[1] (analytic) = 1.784935894435193 y2[1] (numeric) = 1.784935894435088 absolute error = 1.052491427344648e-13 relative error = 5.896522281981942e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.784935894435193 y1[1] (numeric) = 1.784935894435108 absolute error = 8.526512829121202e-14 relative error = 4.77692944363094e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.239999999999864 y2[1] (analytic) = 1.784315925084504 y2[1] (numeric) = 1.784315925084399 absolute error = 1.054711873393899e-13 relative error = 5.911015300409585e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.784315925084504 y1[1] (numeric) = 1.784315925084419 absolute error = 8.548717289613705e-14 relative error = 4.79103345401619e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.240999999999864 y2[1] (analytic) = 1.783695171417955 y2[1] (numeric) = 1.78369517141785 absolute error = 1.056932319443149e-13 relative error = 5.925520999212755e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.783695171417955 y1[1] (numeric) = 1.78369517141787 absolute error = 8.570921750106208e-14 relative error = 4.805149381714545e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.241999999999864 y2[1] (analytic) = 1.7830736340563 y2[1] (numeric) = 1.783073634056195 absolute error = 1.059152765492399e-13 relative error = 5.940039408708775e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.7830736340563 y1[1] (numeric) = 1.783073634056215 absolute error = 8.593126210598712e-14 relative error = 4.819277256122214e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.242999999999864 y2[1] (analytic) = 1.782451313621077 y2[1] (numeric) = 1.782451313620971 absolute error = 1.06137321154165e-13 relative error = 5.954570559267921e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.782451313621077 y1[1] (numeric) = 1.782451313620991 absolute error = 8.615330671091215e-14 relative error = 4.833417106686095e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.243999999999864 y2[1] (analytic) = 1.781828210734605 y2[1] (numeric) = 1.781828210734498 absolute error = 1.0635936575909e-13 relative error = 5.969114481313583e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.781828210734605 y1[1] (numeric) = 1.781828210734518 absolute error = 8.637535131583718e-14 relative error = 4.847568962903932e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.244999999999864 y2[1] (analytic) = 1.781204326019987 y2[1] (numeric) = 1.781204326019881 absolute error = 1.0635936575909e-13 relative error = 5.971205223644652e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.781204326019987 y1[1] (numeric) = 1.781204326019901 absolute error = 8.637535131583718e-14 relative error = 4.849266872646702e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.245999999999864 y2[1] (analytic) = 1.780579660101109 y2[1] (numeric) = 1.780579660101002 absolute error = 1.068034549689401e-13 relative error = 5.998240761824457e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.780579660101109 y1[1] (numeric) = 1.780579660101022 absolute error = 8.659739592076221e-14 relative error = 4.863438455533343e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.246999999999864 y2[1] (analytic) = 1.779954213602635 y2[1] (numeric) = 1.779954213602528 absolute error = 1.068034549689401e-13 relative error = 6.000348444512481e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.779954213602635 y1[1] (numeric) = 1.779954213602548 absolute error = 8.659739592076221e-14 relative error = 4.865147387442552e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.247999999999863 y2[1] (analytic) = 1.779327987150013 y2[1] (numeric) = 1.779327987149905 absolute error = 1.070254995738651e-13 relative error = 6.014939367378249e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.779327987150013 y1[1] (numeric) = 1.779327987149926 absolute error = 8.681944052568724e-14 relative error = 4.879338781420945e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.248999999999863 y2[1] (analytic) = 1.778700981369468 y2[1] (numeric) = 1.778700981369361 absolute error = 1.072475441787901e-13 relative error = 6.029543206088381e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.778700981369468 y1[1] (numeric) = 1.778700981369381 absolute error = 8.704148513061227e-14 relative error = 4.893542312187672e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.249999999999863 y2[1] (analytic) = 1.778073196888007 y2[1] (numeric) = 1.7780731968879 absolute error = 1.074695887837152e-13 relative error = 6.044159991377687e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.778073196888007 y1[1] (numeric) = 1.77807319688792 absolute error = 8.72635297355373e-14 relative error = 4.90775800952775e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.250999999999863 y2[1] (analytic) = 1.777444634333414 y2[1] (numeric) = 1.777444634333307 absolute error = 1.076916333886402e-13 relative error = 6.058789754035135e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.777444634333414 y1[1] (numeric) = 1.777444634333327 absolute error = 8.748557434046234e-14 relative error = 4.921985903278027e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.251999999999863 y2[1] (analytic) = 1.776815294334252 y2[1] (numeric) = 1.776815294334144 absolute error = 1.079136779935652e-13 relative error = 6.073432524904002e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.776815294334252 y1[1] (numeric) = 1.776815294334164 absolute error = 8.770761894538737e-14 relative error = 4.936226023327326e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.252999999999863 y2[1] (analytic) = 1.77618517751986 y2[1] (numeric) = 1.776185177519751 absolute error = 1.081357225984902e-13 relative error = 6.08808833488203e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.77618517751986 y1[1] (numeric) = 1.776185177519772 absolute error = 8.79296635503124e-14 relative error = 4.950478399616599e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.253999999999863 y2[1] (analytic) = 1.775554284520354 y2[1] (numeric) = 1.775554284520246 absolute error = 1.081357225984902e-13 relative error = 6.090251564891009e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.775554284520354 y1[1] (numeric) = 1.775554284520267 absolute error = 8.79296635503124e-14 relative error = 4.9522374121085e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.254999999999863 y2[1] (analytic) = 1.77492261596663 y2[1] (numeric) = 1.774922615966521 absolute error = 1.083577672034153e-13 relative error = 6.104929095424435e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.77492261596663 y1[1] (numeric) = 1.774922615966541 absolute error = 8.815170815523743e-14 relative error = 4.966509940335042e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.255999999999863 y2[1] (analytic) = 1.774290172490353 y2[1] (numeric) = 1.774290172490245 absolute error = 1.088018564132653e-13 relative error = 6.132134309268789e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.774290172490353 y1[1] (numeric) = 1.774290172490265 absolute error = 8.837375276016246e-14 relative error = 4.980794806304037e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.256999999999862 y2[1] (analytic) = 1.773656954723969 y2[1] (numeric) = 1.77365695472386 absolute error = 1.088018564132653e-13 relative error = 6.134323558086122e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.773656954723969 y1[1] (numeric) = 1.773656954723881 absolute error = 8.837375276016246e-14 relative error = 4.982573012486278e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.257999999999862 y2[1] (analytic) = 1.773022963300695 y2[1] (numeric) = 1.773022963300586 absolute error = 1.090239010181904e-13 relative error = 6.149040552482711e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.773022963300695 y1[1] (numeric) = 1.773022963300606 absolute error = 8.859579736508749e-14 relative error = 4.996878167903466e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.258999999999862 y2[1] (analytic) = 1.772388198854521 y2[1] (numeric) = 1.772388198854412 absolute error = 1.092459456231154e-13 relative error = 6.163770763860879e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.772388198854521 y1[1] (numeric) = 1.772388198854433 absolute error = 8.881784197001252e-14 relative error = 5.011195742976324e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.259999999999862 y2[1] (analytic) = 1.771752662020214 y2[1] (numeric) = 1.771752662020104 absolute error = 1.094679902280404e-13 relative error = 6.178514223493321e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.771752662020214 y1[1] (numeric) = 1.771752662020124 absolute error = 8.903988657493755e-14 relative error = 5.025525767993553e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.260999999999862 y2[1] (analytic) = 1.771116353433308 y2[1] (numeric) = 1.771116353433198 absolute error = 1.096900348329655e-13 relative error = 6.193270962708429e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.771116353433308 y1[1] (numeric) = 1.771116353433219 absolute error = 8.926193117986259e-14 relative error = 5.039868273297143e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.261999999999862 y2[1] (analytic) = 1.770479273730113 y2[1] (numeric) = 1.770479273730003 absolute error = 1.096900348329655e-13 relative error = 6.195499515894717e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.770479273730113 y1[1] (numeric) = 1.770479273730024 absolute error = 8.926193117986259e-14 relative error = 5.041681792286794e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.262999999999862 y2[1] (analytic) = 1.769841423547709 y2[1] (numeric) = 1.769841423547599 absolute error = 1.099120794378905e-13 relative error = 6.210278388533132e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.769841423547709 y1[1] (numeric) = 1.769841423547619 absolute error = 8.948397578478762e-14 relative error = 5.056044829452226e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.263999999999862 y2[1] (analytic) = 1.769202803523945 y2[1] (numeric) = 1.769202803523835 absolute error = 1.101341240428155e-13 relative error = 6.225070626354845e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.769202803523945 y1[1] (numeric) = 1.769202803523856 absolute error = 8.970602038971265e-14 relative error = 5.070420429530962e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.264999999999862 y2[1] (analytic) = 1.768563414297442 y2[1] (numeric) = 1.768563414297332 absolute error = 1.103561686477406e-13 relative error = 6.239876260901806e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.768563414297442 y1[1] (numeric) = 1.768563414297352 absolute error = 8.992806499463768e-14 relative error = 5.084808623068876e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.265999999999861 y2[1] (analytic) = 1.767923256507589 y2[1] (numeric) = 1.767923256507478 absolute error = 1.108002578575906e-13 relative error = 6.267254952936641e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.767923256507589 y1[1] (numeric) = 1.767923256507499 absolute error = 9.015010959956271e-14 relative error = 5.099209440665884e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.266999999999861 y2[1] (analytic) = 1.767282330794543 y2[1] (numeric) = 1.767282330794432 absolute error = 1.108002578575906e-13 relative error = 6.269527846621797e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.767282330794543 y1[1] (numeric) = 1.767282330794453 absolute error = 9.015010959956271e-14 relative error = 5.101058728914729e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.267999999999861 y2[1] (analytic) = 1.766640637799231 y2[1] (numeric) = 1.76664063779912 absolute error = 1.110223024625157e-13 relative error = 6.284373861161727e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.766640637799231 y1[1] (numeric) = 1.76664063779914 absolute error = 9.037215420448774e-14 relative error = 5.115480322985646e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.268999999999861 y2[1] (analytic) = 1.765998178163344 y2[1] (numeric) = 1.765998178163233 absolute error = 1.110223024625157e-13 relative error = 6.286660079003025e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.765998178163344 y1[1] (numeric) = 1.765998178163253 absolute error = 9.037215420448774e-14 relative error = 5.117341304308462e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.269999999999861 y2[1] (analytic) = 1.765354952529343 y2[1] (numeric) = 1.765354952529232 absolute error = 1.114663916723657e-13 relative error = 6.31410649244563e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.765354952529343 y1[1] (numeric) = 1.765354952529252 absolute error = 9.081624341433781e-14 relative error = 5.14436166416387e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.270999999999861 y2[1] (analytic) = 1.764710961540453 y2[1] (numeric) = 1.764710961540342 absolute error = 1.114663916723657e-13 relative error = 6.316410681501313e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.764710961540453 y1[1] (numeric) = 1.764710961540362 absolute error = 9.081624341433781e-14 relative error = 5.146238981541906e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.271999999999861 y2[1] (analytic) = 1.764066205840666 y2[1] (numeric) = 1.764066205840554 absolute error = 1.116884362772907e-13 relative error = 6.331306382237827e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.764066205840666 y1[1] (numeric) = 1.764066205840575 absolute error = 9.103828801926284e-14 relative error = 5.160706991486101e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.272999999999861 y2[1] (analytic) = 1.763420686074736 y2[1] (numeric) = 1.763420686074624 absolute error = 1.119104808822158e-13 relative error = 6.346215725263011e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.763420686074736 y1[1] (numeric) = 1.763420686074645 absolute error = 9.126033262418787e-14 relative error = 5.175187823577574e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.273999999999861 y2[1] (analytic) = 1.762774402888184 y2[1] (numeric) = 1.762774402888072 absolute error = 1.121325254871408e-13 relative error = 6.361138742621825e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.762774402888184 y1[1] (numeric) = 1.762774402888093 absolute error = 9.14823772291129e-14 relative error = 5.189681508832063e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27499999999986 y2[1] (analytic) = 1.762127356927293 y2[1] (numeric) = 1.76212735692718 absolute error = 1.123545700920658e-13 relative error = 6.376075466417137e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.762127356927293 y1[1] (numeric) = 1.762127356927201 absolute error = 9.170442183403793e-14 relative error = 5.204188078320706e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27599999999986 y2[1] (analytic) = 1.761479548839108 y2[1] (numeric) = 1.761479548838995 absolute error = 1.125766146969909e-13 relative error = 6.391025928809891e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.761479548839108 y1[1] (numeric) = 1.761479548839016 absolute error = 9.192646643896296e-14 relative error = 5.218707563170208e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27699999999986 y2[1] (analytic) = 1.760830979271438 y2[1] (numeric) = 1.760830979271325 absolute error = 1.130207039068409e-13 relative error = 6.418600378873641e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.760830979271438 y1[1] (numeric) = 1.760830979271345 absolute error = 9.214851104388799e-14 relative error = 5.233239994562988e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27799999999986 y2[1] (analytic) = 1.760181648872851 y2[1] (numeric) = 1.760181648872738 absolute error = 1.13242748511766e-13 relative error = 6.433583067081855e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.760181648872851 y1[1] (numeric) = 1.760181648872759 absolute error = 9.237055564881302e-14 relative error = 5.247785403737356e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27899999999986 y2[1] (analytic) = 1.75953155829268 y2[1] (numeric) = 1.759531558292566 absolute error = 1.13464793116691e-13 relative error = 6.448579599605983e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.75953155829268 y1[1] (numeric) = 1.759531558292587 absolute error = 9.259260025373806e-14 relative error = 5.262343821987661e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27999999999986 y2[1] (analytic) = 1.758880708181013 y2[1] (numeric) = 1.758880708180899 absolute error = 1.13686837721616e-13 relative error = 6.463590008852157e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.758880708181013 y1[1] (numeric) = 1.75888070818092 absolute error = 9.281464485866309e-14 relative error = 5.276915280664456e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.28099999999986 y2[1] (analytic) = 1.758229099188702 y2[1] (numeric) = 1.758229099188588 absolute error = 1.139088823265411e-13 relative error = 6.478614327285446e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.758229099188702 y1[1] (numeric) = 1.758229099188609 absolute error = 9.281464485866309e-14 relative error = 5.278870933343698e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.28199999999986 y2[1] (analytic) = 1.757576731967354 y2[1] (numeric) = 1.75757673196724 absolute error = 1.143529715363911e-13 relative error = 6.506286152775216e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.757576731967354 y1[1] (numeric) = 1.757576731967261 absolute error = 9.303668946358812e-14 relative error = 5.293463879636534e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.28299999999986 y2[1] (analytic) = 1.756923607169338 y2[1] (numeric) = 1.756923607169223 absolute error = 1.145750161413162e-13 relative error = 6.521343083659361e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.756923607169338 y1[1] (numeric) = 1.756923607169244 absolute error = 9.325873406851315e-14 relative error = 5.308069951815759e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.283999999999859 y2[1] (analytic) = 1.756269725447777 y2[1] (numeric) = 1.756269725447662 absolute error = 1.145750161413162e-13 relative error = 6.523771063246234e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.756269725447777 y1[1] (numeric) = 1.756269725447684 absolute error = 9.325873406851315e-14 relative error = 5.31004621427019e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.284999999999859 y2[1] (analytic) = 1.755615087456554 y2[1] (numeric) = 1.755615087456439 absolute error = 1.147970607462412e-13 relative error = 6.538851344263242e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.755615087456554 y1[1] (numeric) = 1.755615087456461 absolute error = 9.348077867343818e-14 relative error = 5.324673918636025e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.285999999999859 y2[1] (analytic) = 1.754959693850307 y2[1] (numeric) = 1.754959693850192 absolute error = 1.150191053511662e-13 relative error = 6.553945697682618e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.754959693850307 y1[1] (numeric) = 1.754959693850213 absolute error = 9.370282327836321e-14 relative error = 5.339314834791631e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.286999999999859 y2[1] (analytic) = 1.754303545284428 y2[1] (numeric) = 1.754303545284313 absolute error = 1.152411499560912e-13 relative error = 6.569054156326578e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.754303545284428 y1[1] (numeric) = 1.754303545284335 absolute error = 9.392486788328824e-14 relative error = 5.353968994462702e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.287999999999859 y2[1] (analytic) = 1.753646642415068 y2[1] (numeric) = 1.753646642414952 absolute error = 1.154631945610163e-13 relative error = 6.584176753077459e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.753646642415068 y1[1] (numeric) = 1.753646642414973 absolute error = 9.414691248821327e-14 relative error = 5.36863642943239e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.288999999999859 y2[1] (analytic) = 1.752988985899127 y2[1] (numeric) = 1.752988985899012 absolute error = 1.156852391659413e-13 relative error = 6.59931352087789e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.752988985899127 y1[1] (numeric) = 1.752988985899033 absolute error = 9.436895709313831e-14 relative error = 5.383317171541465e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.289999999999859 y2[1] (analytic) = 1.752330576394264 y2[1] (numeric) = 1.752330576394148 absolute error = 1.161293283757914e-13 relative error = 6.627135880648068e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.752330576394264 y1[1] (numeric) = 1.752330576394169 absolute error = 9.459100169806334e-14 relative error = 5.398011252688484e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.290999999999859 y2[1] (analytic) = 1.751671414558887 y2[1] (numeric) = 1.75167141455877 absolute error = 1.163513729807164e-13 relative error = 6.642305857917794e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.751671414558887 y1[1] (numeric) = 1.751671414558792 absolute error = 9.481304630298837e-14 relative error = 5.412718704829958e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.291999999999859 y2[1] (analytic) = 1.751011501052157 y2[1] (numeric) = 1.751011501052041 absolute error = 1.165734175856414e-13 relative error = 6.657490114462079e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.751011501052157 y1[1] (numeric) = 1.751011501052062 absolute error = 9.50350909079134e-14 relative error = 5.427439559980514e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.292999999999858 y2[1] (analytic) = 1.75035083653399 y2[1] (numeric) = 1.750350836533873 absolute error = 1.167954621905665e-13 relative error = 6.672688683478024e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.75035083653399 y1[1] (numeric) = 1.750350836533895 absolute error = 9.50350909079134e-14 relative error = 5.429488130282499e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.293999999999858 y2[1] (analytic) = 1.749689421665048 y2[1] (numeric) = 1.749689421664931 absolute error = 1.170175067954915e-13 relative error = 6.687901598223913e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.749689421665048 y1[1] (numeric) = 1.749689421664953 absolute error = 9.525713551283843e-14 relative error = 5.444231092292332e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.294999999999858 y2[1] (analytic) = 1.749027257106747 y2[1] (numeric) = 1.74902725710663 absolute error = 1.174615960053416e-13 relative error = 6.715824211890633e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.749027257106747 y1[1] (numeric) = 1.749027257106652 absolute error = 9.547918011776346e-14 relative error = 5.458987544636998e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.295999999999858 y2[1] (analytic) = 1.748364343521252 y2[1] (numeric) = 1.748364343521134 absolute error = 1.174615960053416e-13 relative error = 6.718370598245605e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.748364343521252 y1[1] (numeric) = 1.748364343521156 absolute error = 9.547918011776346e-14 relative error = 5.461057386097562e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.296999999999858 y2[1] (analytic) = 1.747700681571475 y2[1] (numeric) = 1.747700681571357 absolute error = 1.176836406102666e-13 relative error = 6.73362675034545e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.747700681571475 y1[1] (numeric) = 1.747700681571379 absolute error = 9.570122472268849e-14 relative error = 5.475836093205451e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.297999999999858 y2[1] (analytic) = 1.747036271921079 y2[1] (numeric) = 1.747036271920961 absolute error = 1.179056852151916e-13 relative error = 6.748897381823673e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.747036271921079 y1[1] (numeric) = 1.747036271920983 absolute error = 9.592326932761353e-14 relative error = 5.490628378432819e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.298999999999858 y2[1] (analytic) = 1.746371115234474 y2[1] (numeric) = 1.746371115234356 absolute error = 1.181277298201167e-13 relative error = 6.764182526247087e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.746371115234474 y1[1] (numeric) = 1.746371115234377 absolute error = 9.614531393253856e-14 relative error = 5.50543427418231e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.299999999999858 y2[1] (analytic) = 1.745705212176815 y2[1] (numeric) = 1.745705212176697 absolute error = 1.183497744250417e-13 relative error = 6.779482217244737e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.745705212176815 y1[1] (numeric) = 1.745705212176719 absolute error = 9.636735853746359e-14 relative error = 5.520253812915977e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.300999999999858 y2[1] (analytic) = 1.745038563414006 y2[1] (numeric) = 1.745038563413888 absolute error = 1.183497744250417e-13 relative error = 6.782072150514618e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.745038563414006 y1[1] (numeric) = 1.74503856341391 absolute error = 9.636735853746359e-14 relative error = 5.522362689161996e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.301999999999857 y2[1] (analytic) = 1.744371169612696 y2[1] (numeric) = 1.744371169612578 absolute error = 1.185718190299667e-13 relative error = 6.797396167485002e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.744371169612696 y1[1] (numeric) = 1.7443711696126 absolute error = 9.658940314238862e-14 relative error = 5.537204743175985e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.302999999999857 y2[1] (analytic) = 1.743703031440279 y2[1] (numeric) = 1.74370303144016 absolute error = 1.190159082398168e-13 relative error = 6.825468906910771e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.743703031440279 y1[1] (numeric) = 1.743703031440182 absolute error = 9.703349235223868e-14 relative error = 5.564794612537327e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.303999999999857 y2[1] (analytic) = 1.743034149564892 y2[1] (numeric) = 1.743034149564773 absolute error = 1.192379528447418e-13 relative error = 6.840827121746686e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.743034149564892 y1[1] (numeric) = 1.743034149564795 absolute error = 9.725553695716371e-14 relative error = 5.579669049022437e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.304999999999857 y2[1] (analytic) = 1.742364524655417 y2[1] (numeric) = 1.742364524655298 absolute error = 1.194599974496668e-13 relative error = 6.856200052241774e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.742364524655417 y1[1] (numeric) = 1.74236452465532 absolute error = 9.747758156208874e-14 relative error = 5.594557291699142e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.305999999999857 y2[1] (analytic) = 1.741694157381479 y2[1] (numeric) = 1.74169415738136 absolute error = 1.194599974496668e-13 relative error = 6.858838961099057e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.741694157381479 y1[1] (numeric) = 1.741694157381382 absolute error = 9.747758156208874e-14 relative error = 5.596710602086405e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.306999999999857 y2[1] (analytic) = 1.741023048413447 y2[1] (numeric) = 1.741023048413327 absolute error = 1.199040866595169e-13 relative error = 6.88699019629767e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.741023048413447 y1[1] (numeric) = 1.741023048413349 absolute error = 9.769962616701378e-14 relative error = 5.611621641427731e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.307999999999857 y2[1] (analytic) = 1.740351198422427 y2[1] (numeric) = 1.740351198422307 absolute error = 1.199040866595169e-13 relative error = 6.889648869044717e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.740351198422427 y1[1] (numeric) = 1.740351198422329 absolute error = 9.769962616701378e-14 relative error = 5.61378796736977e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.308999999999857 y2[1] (analytic) = 1.73967860808027 y2[1] (numeric) = 1.73967860808015 absolute error = 1.20348175869367e-13 relative error = 6.917839611890773e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.73967860808027 y1[1] (numeric) = 1.739678608080172 absolute error = 9.814371537686384e-14 relative error = 5.641485439955206e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.309999999999857 y2[1] (analytic) = 1.739005278059568 y2[1] (numeric) = 1.739005278059447 absolute error = 1.20570220474292e-13 relative error = 6.933286632046784e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.739005278059568 y1[1] (numeric) = 1.739005278059469 absolute error = 9.836575998178887e-14 relative error = 5.656438265187339e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.310999999999857 y2[1] (analytic) = 1.738331209033648 y2[1] (numeric) = 1.738331209033527 absolute error = 1.20792265079217e-13 relative error = 6.948748572854904e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.738331209033648 y1[1] (numeric) = 1.73833120903355 absolute error = 9.85878045867139e-14 relative error = 5.671405085197752e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.311999999999856 y2[1] (analytic) = 1.737656401676581 y2[1] (numeric) = 1.73765640167646 absolute error = 1.20792265079217e-13 relative error = 6.951447073349506e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.737656401676581 y1[1] (numeric) = 1.737656401676483 absolute error = 9.85878045867139e-14 relative error = 5.673607537807317e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.312999999999856 y2[1] (analytic) = 1.736980856663174 y2[1] (numeric) = 1.736980856663053 absolute error = 1.210143096841421e-13 relative error = 6.966933988933909e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.736980856663174 y1[1] (numeric) = 1.736980856663075 absolute error = 9.880984919163893e-14 relative error = 5.688597477202917e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.313999999999856 y2[1] (analytic) = 1.736304574668972 y2[1] (numeric) = 1.736304574668851 absolute error = 1.212363542890671e-13 relative error = 6.982435919238474e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.736304574668972 y1[1] (numeric) = 1.736304574668873 absolute error = 9.903189379656396e-14 relative error = 5.70360150179553e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.314999999999856 y2[1] (analytic) = 1.735627556370256 y2[1] (numeric) = 1.735627556370135 absolute error = 1.216804434989172e-13 relative error = 7.010746231374044e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.735627556370256 y1[1] (numeric) = 1.735627556370157 absolute error = 9.925393840148899e-14 relative error = 5.718619644934667e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.315999999999856 y2[1] (analytic) = 1.734949802444046 y2[1] (numeric) = 1.734949802443924 absolute error = 1.216804434989172e-13 relative error = 7.013484962360548e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.734949802444046 y1[1] (numeric) = 1.734949802443946 absolute error = 9.925393840148899e-14 relative error = 5.720853609808695e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.316999999999856 y2[1] (analytic) = 1.734271313568094 y2[1] (numeric) = 1.734271313567972 absolute error = 1.219024881038422e-13 relative error = 7.029032144517212e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.734271313568094 y1[1] (numeric) = 1.734271313567994 absolute error = 9.947598300641403e-14 relative error = 5.735895083321878e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.317999999999856 y2[1] (analytic) = 1.733592090420889 y2[1] (numeric) = 1.733592090420767 absolute error = 1.223465773136923e-13 relative error = 7.05740283367285e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.733592090420889 y1[1] (numeric) = 1.73359209042079 absolute error = 9.969802761133906e-14 relative error = 5.750950766459364e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.318999999999856 y2[1] (analytic) = 1.732912133681656 y2[1] (numeric) = 1.732912133681533 absolute error = 1.225686219186173e-13 relative error = 7.072985383177755e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.732912133681656 y1[1] (numeric) = 1.732912133681556 absolute error = 9.992007221626409e-14 relative error = 5.766020692807952e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.319999999999856 y2[1] (analytic) = 1.73223144403035 y2[1] (numeric) = 1.732231444030227 absolute error = 1.225686219186173e-13 relative error = 7.075764750779447e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.73223144403035 y1[1] (numeric) = 1.73223144403025 absolute error = 9.992007221626409e-14 relative error = 5.768286481613679e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.320999999999855 y2[1] (analytic) = 1.731550022147661 y2[1] (numeric) = 1.731550022147538 absolute error = 1.227906665235423e-13 relative error = 7.091372755795048e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.731550022147661 y1[1] (numeric) = 1.73155002214756 absolute error = 1.001421168211891e-13 relative error = 5.783379950928691e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.321999999999855 y2[1] (analytic) = 1.73086786871501 y2[1] (numeric) = 1.730867868714887 absolute error = 1.232347557333924e-13 relative error = 7.119824566671365e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.73086786871501 y1[1] (numeric) = 1.73086786871491 absolute error = 1.003641614261142e-13 relative error = 5.798487755199021e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.322999999999855 y2[1] (analytic) = 1.730184984414552 y2[1] (numeric) = 1.730184984414429 absolute error = 1.234568003383174e-13 relative error = 7.135468256308551e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.730184984414552 y1[1] (numeric) = 1.730184984414452 absolute error = 1.003641614261142e-13 relative error = 5.800776352250836e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.323999999999855 y2[1] (analytic) = 1.72950136992917 y2[1] (numeric) = 1.729501369929047 absolute error = 1.236788449432424e-13 relative error = 7.151127318754743e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.72950136992917 y1[1] (numeric) = 1.72950136992907 absolute error = 1.005862060310392e-13 relative error = 5.815907855288867e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.324999999999855 y2[1] (analytic) = 1.72881702594248 y2[1] (numeric) = 1.728817025942356 absolute error = 1.239008895481675e-13 relative error = 7.166801789253656e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.72881702594248 y1[1] (numeric) = 1.728817025942379 absolute error = 1.008082506359642e-13 relative error = 5.831053785521792e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.325999999999855 y2[1] (analytic) = 1.728131953138823 y2[1] (numeric) = 1.728131953138699 absolute error = 1.239008895481675e-13 relative error = 7.169642880749069e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.728131953138823 y1[1] (numeric) = 1.728131953138722 absolute error = 1.008082506359642e-13 relative error = 5.833365354587952e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.326999999999855 y2[1] (analytic) = 1.727446152203275 y2[1] (numeric) = 1.727446152203151 absolute error = 1.243449787580175e-13 relative error = 7.198197095719682e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.727446152203275 y1[1] (numeric) = 1.727446152203174 absolute error = 1.012523398458143e-13 relative error = 5.861389063657456e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.327999999999855 y2[1] (analytic) = 1.726759623821635 y2[1] (numeric) = 1.72675962382151 absolute error = 1.245670233629426e-13 relative error = 7.213918002509983e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.726759623821635 y1[1] (numeric) = 1.726759623821533 absolute error = 1.014743844507393e-13 relative error = 5.876578479763034e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.328999999999855 y2[1] (analytic) = 1.726072368680431 y2[1] (numeric) = 1.726072368680307 absolute error = 1.247890679678676e-13 relative error = 7.229654458999761e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.726072368680431 y1[1] (numeric) = 1.72607236868033 absolute error = 1.016964290556643e-13 relative error = 5.891782459469556e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.329999999999854 y2[1] (analytic) = 1.72538438746692 y2[1] (numeric) = 1.725384387466795 absolute error = 1.250111125727926e-13 relative error = 7.245406500769639e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.72538438746692 y1[1] (numeric) = 1.725384387466818 absolute error = 1.016964290556643e-13 relative error = 5.894131753734449e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.330999999999854 y2[1] (analytic) = 1.724695680869081 y2[1] (numeric) = 1.724695680868956 absolute error = 1.252331571777177e-13 relative error = 7.261174163468199e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.724695680869081 y1[1] (numeric) = 1.724695680868979 absolute error = 1.019184736605894e-13 relative error = 5.909359824524651e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.331999999999854 y2[1] (analytic) = 1.724006249575622 y2[1] (numeric) = 1.724006249575497 absolute error = 1.254552017826427e-13 relative error = 7.27695748281217e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.724006249575622 y1[1] (numeric) = 1.72400624957552 absolute error = 1.021405182655144e-13 relative error = 5.92460255237805e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.332999999999854 y2[1] (analytic) = 1.723316094275974 y2[1] (numeric) = 1.723316094275848 absolute error = 1.258992909924928e-13 relative error = 7.30564122337565e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.723316094275974 y1[1] (numeric) = 1.723316094275871 absolute error = 1.025846074753645e-13 relative error = 5.952744700528308e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.333999999999854 y2[1] (analytic) = 1.722625215660292 y2[1] (numeric) = 1.722625215660166 absolute error = 1.261213355974178e-13 relative error = 7.321461131002589e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.722625215660292 y1[1] (numeric) = 1.722625215660189 absolute error = 1.028066520802895e-13 relative error = 5.968022013475702e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.334999999999854 y2[1] (analytic) = 1.721933614419454 y2[1] (numeric) = 1.721933614419328 absolute error = 1.263433802023428e-13 relative error = 7.337296812394199e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.721933614419454 y1[1] (numeric) = 1.721933614419351 absolute error = 1.030286966852145e-13 relative error = 5.983314096574531e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.335999999999854 y2[1] (analytic) = 1.721241291245062 y2[1] (numeric) = 1.721241291244935 absolute error = 1.265654248072678e-13 relative error = 7.353148303554617e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.721241291245062 y1[1] (numeric) = 1.721241291244959 absolute error = 1.032507412901396e-13 relative error = 5.998620984478766e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.336999999999854 y2[1] (analytic) = 1.720548246829439 y2[1] (numeric) = 1.720548246829312 absolute error = 1.270095140171179e-13 relative error = 7.381921097020454e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.720548246829439 y1[1] (numeric) = 1.720548246829335 absolute error = 1.034727858950646e-13 relative error = 6.013942711908272e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.337999999999854 y2[1] (analytic) = 1.719854481865629 y2[1] (numeric) = 1.719854481865502 absolute error = 1.272315586220429e-13 relative error = 7.397809521886251e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.719854481865629 y1[1] (numeric) = 1.719854481865525 absolute error = 1.036948304999896e-13 relative error = 6.029279313649003e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.338999999999853 y2[1] (analytic) = 1.719159997047397 y2[1] (numeric) = 1.71915999704727 absolute error = 1.272315586220429e-13 relative error = 7.400797996728583e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.719159997047397 y1[1] (numeric) = 1.719159997047293 absolute error = 1.036948304999896e-13 relative error = 6.031714946722947e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.339999999999853 y2[1] (analytic) = 1.718464793069228 y2[1] (numeric) = 1.718464793069101 absolute error = 1.27453603226968e-13 relative error = 7.416713088391652e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.718464793069228 y1[1] (numeric) = 1.718464793069124 absolute error = 1.039168751049147e-13 relative error = 6.047076176598072e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.340999999999853 y2[1] (analytic) = 1.717768870626326 y2[1] (numeric) = 1.717768870626198 absolute error = 1.27897692436818e-13 relative error = 7.445570508573979e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.717768870626326 y1[1] (numeric) = 1.717768870626222 absolute error = 1.041389197098397e-13 relative error = 6.062452375904854e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.341999999999853 y2[1] (analytic) = 1.717072230414613 y2[1] (numeric) = 1.717072230414485 absolute error = 1.281197370417431e-13 relative error = 7.461522862716533e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.717072230414613 y1[1] (numeric) = 1.717072230414509 absolute error = 1.041389197098397e-13 relative error = 6.064911997598014e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.342999999999853 y2[1] (analytic) = 1.71637487313073 y2[1] (numeric) = 1.716374873130601 absolute error = 1.283417816466681e-13 relative error = 7.477491290266214e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.71637487313073 y1[1] (numeric) = 1.716374873130625 absolute error = 1.043609643147647e-13 relative error = 6.080312986894673e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.343999999999853 y2[1] (analytic) = 1.715676799472033 y2[1] (numeric) = 1.715676799471904 absolute error = 1.285638262515931e-13 relative error = 7.493475827799049e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.715676799472033 y1[1] (numeric) = 1.715676799471928 absolute error = 1.045830089196897e-13 relative error = 6.095729041266584e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.344999999999853 y2[1] (analytic) = 1.714978010136596 y2[1] (numeric) = 1.714978010136467 absolute error = 1.287858708565182e-13 relative error = 7.509476511961838e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.714978010136596 y1[1] (numeric) = 1.714978010136491 absolute error = 1.048050535246148e-13 relative error = 6.111160195941358e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.345999999999853 y2[1] (analytic) = 1.714278505823208 y2[1] (numeric) = 1.714278505823079 absolute error = 1.292299600663682e-13 relative error = 7.538446035891414e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.714278505823208 y1[1] (numeric) = 1.714278505823103 absolute error = 1.050270981295398e-13 relative error = 6.126606486214156e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.346999999999853 y2[1] (analytic) = 1.713578287231375 y2[1] (numeric) = 1.713578287231245 absolute error = 1.294520046712933e-13 relative error = 7.554484416375783e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.713578287231375 y1[1] (numeric) = 1.713578287231269 absolute error = 1.052491427344648e-13 relative error = 6.142067947447892e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.347999999999852 y2[1] (analytic) = 1.712877355061313 y2[1] (numeric) = 1.712877355061184 absolute error = 1.296740492762183e-13 relative error = 7.570539063585001e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.712877355061313 y1[1] (numeric) = 1.712877355061208 absolute error = 1.054711873393899e-13 relative error = 6.157544615073417e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.348999999999852 y2[1] (analytic) = 1.712175710013956 y2[1] (numeric) = 1.712175710013826 absolute error = 1.298960938811433e-13 relative error = 7.586610014464259e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.712175710013956 y1[1] (numeric) = 1.71217571001385 absolute error = 1.056932319443149e-13 relative error = 6.173036524589721e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.349999999999852 y2[1] (analytic) = 1.711473352790948 y2[1] (numeric) = 1.711473352790818 absolute error = 1.301181384860683e-13 relative error = 7.602697306030561e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.711473352790948 y1[1] (numeric) = 1.711473352790842 absolute error = 1.059152765492399e-13 relative error = 6.188543711564126e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.350999999999852 y2[1] (analytic) = 1.710770284094647 y2[1] (numeric) = 1.710770284094517 absolute error = 1.303401830909934e-13 relative error = 7.618800975372939e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.710770284094647 y1[1] (numeric) = 1.710770284094541 absolute error = 1.06137321154165e-13 relative error = 6.204066211632479e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.351999999999852 y2[1] (analytic) = 1.710066504628121 y2[1] (numeric) = 1.71006650462799 absolute error = 1.305622276959184e-13 relative error = 7.634921059652653e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.710066504628121 y1[1] (numeric) = 1.710066504628015 absolute error = 1.0635936575909e-13 relative error = 6.219604060499355e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.352999999999852 y2[1] (analytic) = 1.709362015095149 y2[1] (numeric) = 1.709362015095019 absolute error = 1.305622276959184e-13 relative error = 7.638067685074355e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.709362015095149 y1[1] (numeric) = 1.709362015095043 absolute error = 1.0635936575909e-13 relative error = 6.222167382909211e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.353999999999852 y2[1] (analytic) = 1.708656816200222 y2[1] (numeric) = 1.708656816200091 absolute error = 1.307842723008434e-13 relative error = 7.65421534979076e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.708656816200222 y1[1] (numeric) = 1.708656816200115 absolute error = 1.06581410364015e-13 relative error = 6.237730675551043e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.354999999999852 y2[1] (analytic) = 1.707950908648537 y2[1] (numeric) = 1.707950908648406 absolute error = 1.310063169057685e-13 relative error = 7.670379531542321e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.707950908648537 y1[1] (numeric) = 1.70795090864843 absolute error = 1.068034549689401e-13 relative error = 6.253309414698062e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.355999999999852 y2[1] (analytic) = 1.707244293146003 y2[1] (numeric) = 1.707244293145871 absolute error = 1.312283615106935e-13 relative error = 7.686560267767779e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.707244293146003 y1[1] (numeric) = 1.707244293145896 absolute error = 1.070254995738651e-13 relative error = 6.268903636318223e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.356999999999851 y2[1] (analytic) = 1.706536970399234 y2[1] (numeric) = 1.706536970399102 absolute error = 1.314504061156185e-13 relative error = 7.702757595979096e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.706536970399234 y1[1] (numeric) = 1.706536970399127 absolute error = 1.072475441787901e-13 relative error = 6.284513376449162e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.357999999999851 y2[1] (analytic) = 1.705828941115554 y2[1] (numeric) = 1.705828941115422 absolute error = 1.316724507205436e-13 relative error = 7.718971553761673e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.705828941115554 y1[1] (numeric) = 1.705828941115446 absolute error = 1.074695887837152e-13 relative error = 6.300138671198398e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.358999999999851 y2[1] (analytic) = 1.705120206002992 y2[1] (numeric) = 1.70512020600286 absolute error = 1.318944953254686e-13 relative error = 7.735202178774555e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.705120206002992 y1[1] (numeric) = 1.705120206002884 absolute error = 1.076916333886402e-13 relative error = 6.315779556743535e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.359999999999851 y2[1] (analytic) = 1.704410765770282 y2[1] (numeric) = 1.70441076577015 absolute error = 1.321165399303936e-13 relative error = 7.751449508750646e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.704410765770282 y1[1] (numeric) = 1.704410765770174 absolute error = 1.079136779935652e-13 relative error = 6.33143606933246e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.360999999999851 y2[1] (analytic) = 1.703700621126865 y2[1] (numeric) = 1.703700621126733 absolute error = 1.323385845353187e-13 relative error = 7.767713581496908e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.703700621126865 y1[1] (numeric) = 1.703700621126757 absolute error = 1.081357225984902e-13 relative error = 6.347108245283547e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.361999999999851 y2[1] (analytic) = 1.702989772782886 y2[1] (numeric) = 1.702989772782753 absolute error = 1.327826737451687e-13 relative error = 7.797032951535945e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.702989772782886 y1[1] (numeric) = 1.702989772782778 absolute error = 1.083577672034153e-13 relative error = 6.362796120985854e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.362999999999851 y2[1] (analytic) = 1.702278221449192 y2[1] (numeric) = 1.702278221449059 absolute error = 1.330047183500938e-13 relative error = 7.813336073633339e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.702278221449192 y1[1] (numeric) = 1.702278221449084 absolute error = 1.083577672034153e-13 relative error = 6.365455766165391e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.363999999999851 y2[1] (analytic) = 1.701565967837336 y2[1] (numeric) = 1.701565967837203 absolute error = 1.332267629550188e-13 relative error = 7.829656062312292e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.701565967837336 y1[1] (numeric) = 1.701565967837228 absolute error = 1.083577672034153e-13 relative error = 6.368120264013996e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.364999999999851 y2[1] (analytic) = 1.70085301265957 y2[1] (numeric) = 1.700853012659437 absolute error = 1.336708521648688e-13 relative error = 7.859047852456806e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.70085301265957 y1[1] (numeric) = 1.700853012659462 absolute error = 1.085798118083403e-13 relative error = 6.383844518025544e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36599999999985 y2[1] (analytic) = 1.700139356628851 y2[1] (numeric) = 1.700139356628717 absolute error = 1.338928967697939e-13 relative error = 7.875407168697372e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.700139356628851 y1[1] (numeric) = 1.700139356628742 absolute error = 1.088018564132653e-13 relative error = 6.399584598112293e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36699999999985 y2[1] (analytic) = 1.699425000458832 y2[1] (numeric) = 1.699425000458698 absolute error = 1.341149413747189e-13 relative error = 7.891783476088021e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.699425000458832 y1[1] (numeric) = 1.699425000458723 absolute error = 1.090239010181904e-13 relative error = 6.415340540992084e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36799999999985 y2[1] (analytic) = 1.698709944863872 y2[1] (numeric) = 1.698709944863737 absolute error = 1.343369859796439e-13 relative error = 7.908176812987882e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.698709944863872 y1[1] (numeric) = 1.698709944863763 absolute error = 1.092459456231154e-13 relative error = 6.431112383454608e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36899999999985 y2[1] (analytic) = 1.697994190559025 y2[1] (numeric) = 1.69799419055889 absolute error = 1.34559030584569e-13 relative error = 7.924587217831916e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.697994190559025 y1[1] (numeric) = 1.697994190558915 absolute error = 1.094679902280404e-13 relative error = 6.446900162361608e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36999999999985 y2[1] (analytic) = 1.697277738260045 y2[1] (numeric) = 1.69727773825991 absolute error = 1.34781075189494e-13 relative error = 7.941014729131136e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.697277738260045 y1[1] (numeric) = 1.697277738259936 absolute error = 1.094679902280404e-13 relative error = 6.449621518058731e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.37099999999985 y2[1] (analytic) = 1.696560588683386 y2[1] (numeric) = 1.696560588683251 absolute error = 1.35003119794419e-13 relative error = 7.957459385472823e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.696560588683386 y1[1] (numeric) = 1.696560588683276 absolute error = 1.096900348329655e-13 relative error = 6.465435750696668e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.37199999999985 y2[1] (analytic) = 1.695842742546195 y2[1] (numeric) = 1.69584274254606 absolute error = 1.352251643993441e-13 relative error = 7.973921225520736e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.695842742546195 y1[1] (numeric) = 1.695842742546086 absolute error = 1.099120794378905e-13 relative error = 6.481266020743456e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.37299999999985 y2[1] (analytic) = 1.695124200566321 y2[1] (numeric) = 1.695124200566185 absolute error = 1.354472090042691e-13 relative error = 7.990400288015345e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.695124200566321 y1[1] (numeric) = 1.695124200566211 absolute error = 1.101341240428155e-13 relative error = 6.497112365337067e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.37399999999985 y2[1] (analytic) = 1.694404963462303 y2[1] (numeric) = 1.694404963462168 absolute error = 1.356692536091941e-13 relative error = 8.006896611774029e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.694404963462303 y1[1] (numeric) = 1.694404963462193 absolute error = 1.103561686477406e-13 relative error = 6.51297482168853e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.374999999999849 y2[1] (analytic) = 1.69368503195338 y2[1] (numeric) = 1.693685031953244 absolute error = 1.358912982141192e-13 relative error = 8.023410235691311e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.69368503195338 y1[1] (numeric) = 1.69368503195327 absolute error = 1.105782132526656e-13 relative error = 6.528853427082145e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.375999999999849 y2[1] (analytic) = 1.692964406759483 y2[1] (numeric) = 1.692964406759347 absolute error = 1.361133428190442e-13 relative error = 8.039941198739072e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.692964406759483 y1[1] (numeric) = 1.692964406759372 absolute error = 1.108002578575906e-13 relative error = 6.544748218875687e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.376999999999849 y2[1] (analytic) = 1.692243088601237 y2[1] (numeric) = 1.692243088601101 absolute error = 1.363353874239692e-13 relative error = 8.056489539966768e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.692243088601237 y1[1] (numeric) = 1.692243088601126 absolute error = 1.110223024625157e-13 relative error = 6.560659234500625e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.377999999999849 y2[1] (analytic) = 1.69152107819996 y2[1] (numeric) = 1.691521078199823 absolute error = 1.363353874239692e-13 relative error = 8.059928379317105e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.69152107819996 y1[1] (numeric) = 1.691521078199849 absolute error = 1.110223024625157e-13 relative error = 6.563459592277773e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.378999999999849 y2[1] (analytic) = 1.690798376277662 y2[1] (numeric) = 1.690798376277525 absolute error = 1.367794766338193e-13 relative error = 8.089638513549022e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.690798376277662 y1[1] (numeric) = 1.690798376277551 absolute error = 1.114663916723657e-13 relative error = 6.592530087340275e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.379999999999849 y2[1] (analytic) = 1.690074983557046 y2[1] (numeric) = 1.690074983556909 absolute error = 1.370015212387443e-13 relative error = 8.10623922439238e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.690074983557046 y1[1] (numeric) = 1.690074983556934 absolute error = 1.114663916723657e-13 relative error = 6.59535184869526e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.380999999999849 y2[1] (analytic) = 1.689350900761503 y2[1] (numeric) = 1.689350900761366 absolute error = 1.372235658436693e-13 relative error = 8.122857470393718e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.689350900761503 y1[1] (numeric) = 1.689350900761392 absolute error = 1.116884362772907e-13 relative error = 6.61132250422013e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.381999999999849 y2[1] (analytic) = 1.688626128615118 y2[1] (numeric) = 1.68862612861498 absolute error = 1.374456104485944e-13 relative error = 8.139493290993714e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.688626128615118 y1[1] (numeric) = 1.688626128615006 absolute error = 1.119104808822158e-13 relative error = 6.627309561649163e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.382999999999849 y2[1] (analytic) = 1.68790066784266 y2[1] (numeric) = 1.687900667842523 absolute error = 1.374456104485944e-13 relative error = 8.142991650347906e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.68790066784266 y1[1] (numeric) = 1.687900667842549 absolute error = 1.119104808822158e-13 relative error = 6.630157983481978e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.383999999999848 y2[1] (analytic) = 1.687174519169593 y2[1] (numeric) = 1.687174519169455 absolute error = 1.376676550535194e-13 relative error = 8.159657076926327e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.687174519169593 y1[1] (numeric) = 1.687174519169481 absolute error = 1.121325254871408e-13 relative error = 6.646172296528701e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.384999999999848 y2[1] (analytic) = 1.686447683322064 y2[1] (numeric) = 1.686447683321926 absolute error = 1.378896996584444e-13 relative error = 8.176340186659168e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.686447683322064 y1[1] (numeric) = 1.686447683321951 absolute error = 1.123545700920658e-13 relative error = 6.662203115055619e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.385999999999848 y2[1] (analytic) = 1.685720161026908 y2[1] (numeric) = 1.68572016102677 absolute error = 1.381117442633695e-13 relative error = 8.193041019289612e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.685720161026908 y1[1] (numeric) = 1.685720161026796 absolute error = 1.125766146969909e-13 relative error = 6.678250477137995e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.386999999999848 y2[1] (analytic) = 1.684991953011649 y2[1] (numeric) = 1.68499195301151 absolute error = 1.383337888682945e-13 relative error = 8.209759614640616e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.684991953011649 y1[1] (numeric) = 1.684991953011536 absolute error = 1.125766146969909e-13 relative error = 6.681136636633695e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.387999999999848 y2[1] (analytic) = 1.684263060004493 y2[1] (numeric) = 1.684263060004355 absolute error = 1.387778780781446e-13 relative error = 8.239679499814852e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.684263060004493 y1[1] (numeric) = 1.68426306000438 absolute error = 1.130207039068409e-13 relative error = 6.710394984649216e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.388999999999848 y2[1] (analytic) = 1.683533482734335 y2[1] (numeric) = 1.683533482734196 absolute error = 1.389999226830696e-13 relative error = 8.256439453601533e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.683533482734335 y1[1] (numeric) = 1.683533482734222 absolute error = 1.13242748511766e-13 relative error = 6.726492206608278e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.389999999999848 y2[1] (analytic) = 1.682803221930751 y2[1] (numeric) = 1.682803221930612 absolute error = 1.392219672879946e-13 relative error = 8.273217300372138e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.682803221930751 y1[1] (numeric) = 1.682803221930638 absolute error = 1.13242748511766e-13 relative error = 6.729411201259634e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.390999999999848 y2[1] (analytic) = 1.682072278324002 y2[1] (numeric) = 1.682072278323862 absolute error = 1.394440118929197e-13 relative error = 8.290013080285713e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.682072278324002 y1[1] (numeric) = 1.682072278323888 absolute error = 1.13464793116691e-13 relative error = 6.745536121060509e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.391999999999848 y2[1] (analytic) = 1.681340652645031 y2[1] (numeric) = 1.681340652644892 absolute error = 1.396660564978447e-13 relative error = 8.306826833582268e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.681340652645031 y1[1] (numeric) = 1.681340652644917 absolute error = 1.13686837721616e-13 relative error = 6.761677804124199e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.392999999999847 y2[1] (analytic) = 1.680608345625465 y2[1] (numeric) = 1.680608345625325 absolute error = 1.398881011027697e-13 relative error = 8.323658600583003e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.680608345625465 y1[1] (numeric) = 1.680608345625351 absolute error = 1.139088823265411e-13 relative error = 6.77783628904616e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.393999999999847 y2[1] (analytic) = 1.679875357997609 y2[1] (numeric) = 1.679875357997469 absolute error = 1.401101457076948e-13 relative error = 8.340508421690543e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.679875357997609 y1[1] (numeric) = 1.679875357997495 absolute error = 1.139088823265411e-13 relative error = 6.780793693070124e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.394999999999847 y2[1] (analytic) = 1.679141690494453 y2[1] (numeric) = 1.679141690494312 absolute error = 1.405542349175448e-13 relative error = 8.37060003412554e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.679141690494453 y1[1] (numeric) = 1.679141690494339 absolute error = 1.141309269314661e-13 relative error = 6.796980122496884e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.395999999999847 y2[1] (analytic) = 1.678407343849662 y2[1] (numeric) = 1.678407343849521 absolute error = 1.407762795224698e-13 relative error = 8.387491870690922e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.678407343849662 y1[1] (numeric) = 1.678407343849548 absolute error = 1.143529715363911e-13 relative error = 6.81318345963064e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.396999999999847 y2[1] (analytic) = 1.677672318797584 y2[1] (numeric) = 1.677672318797443 absolute error = 1.409983241273949e-13 relative error = 8.404401893478861e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.677672318797584 y1[1] (numeric) = 1.67767231879747 absolute error = 1.145750161413162e-13 relative error = 6.82940374336235e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.397999999999847 y2[1] (analytic) = 1.676936616073244 y2[1] (numeric) = 1.676936616073103 absolute error = 1.412203687323199e-13 relative error = 8.42133014323493e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.676936616073244 y1[1] (numeric) = 1.676936616073129 absolute error = 1.147970607462412e-13 relative error = 6.8456410126611e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.398999999999847 y2[1] (analytic) = 1.676200236412344 y2[1] (numeric) = 1.676200236412203 absolute error = 1.414424133372449e-13 relative error = 8.438276660787334e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.676200236412344 y1[1] (numeric) = 1.676200236412229 absolute error = 1.150191053511662e-13 relative error = 6.861895306574316e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.399999999999847 y2[1] (analytic) = 1.675463180551264 y2[1] (numeric) = 1.675463180551122 absolute error = 1.414424133372449e-13 relative error = 8.441988757443617e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.675463180551264 y1[1] (numeric) = 1.675463180551149 absolute error = 1.150191053511662e-13 relative error = 6.86491393462448e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.400999999999847 y2[1] (analytic) = 1.67472544922706 y2[1] (numeric) = 1.674725449226918 absolute error = 1.41886502547095e-13 relative error = 8.47222466300851e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.67472544922706 y1[1] (numeric) = 1.674725449226944 absolute error = 1.154631945610163e-13 relative error = 6.894455124826956e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.401999999999846 y2[1] (analytic) = 1.673987043177462 y2[1] (numeric) = 1.67398704317732 absolute error = 1.41886502547095e-13 relative error = 8.475961813764968e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.673987043177462 y1[1] (numeric) = 1.673987043177347 absolute error = 1.154631945610163e-13 relative error = 6.897496311671023e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.402999999999846 y2[1] (analytic) = 1.673247963140878 y2[1] (numeric) = 1.673247963140736 absolute error = 1.423305917569451e-13 relative error = 8.506246228429541e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.673247963140878 y1[1] (numeric) = 1.673247963140762 absolute error = 1.159072837708663e-13 relative error = 6.927083512075227e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.403999999999846 y2[1] (analytic) = 1.672508209856387 y2[1] (numeric) = 1.672508209856244 absolute error = 1.423305917569451e-13 relative error = 8.510008555902189e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.672508209856387 y1[1] (numeric) = 1.672508209856271 absolute error = 1.159072837708663e-13 relative error = 6.930147373137197e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.404999999999846 y2[1] (analytic) = 1.671767784063742 y2[1] (numeric) = 1.671767784063599 absolute error = 1.425526363618701e-13 relative error = 8.527059662278718e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.671767784063742 y1[1] (numeric) = 1.671767784063626 absolute error = 1.161293283757914e-13 relative error = 6.946498759146059e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.405999999999846 y2[1] (analytic) = 1.671026686503369 y2[1] (numeric) = 1.671026686503226 absolute error = 1.429967255717202e-13 relative error = 8.557417228981632e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.671026686503369 y1[1] (numeric) = 1.671026686503252 absolute error = 1.165734175856414e-13 relative error = 6.976155349713287e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.406999999999846 y2[1] (analytic) = 1.670284917916365 y2[1] (numeric) = 1.670284917916222 absolute error = 1.429967255717202e-13 relative error = 8.561217552637948e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.670284917916365 y1[1] (numeric) = 1.670284917916248 absolute error = 1.165734175856414e-13 relative error = 6.979253439650501e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.407999999999846 y2[1] (analytic) = 1.669542479044499 y2[1] (numeric) = 1.669542479044356 absolute error = 1.432187701766452e-13 relative error = 8.578324419670421e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.669542479044499 y1[1] (numeric) = 1.669542479044382 absolute error = 1.167954621905665e-13 relative error = 6.995656813560685e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.408999999999846 y2[1] (analytic) = 1.66879937063021 y2[1] (numeric) = 1.668799370630067 absolute error = 1.434408147815702e-13 relative error = 8.595449956779456e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.66879937063021 y1[1] (numeric) = 1.668799370630093 absolute error = 1.170175067954915e-13 relative error = 7.012077596320083e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.409999999999846 y2[1] (analytic) = 1.668055593416606 y2[1] (numeric) = 1.668055593416462 absolute error = 1.436628593864953e-13 relative error = 8.612594205702512e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.668055593416606 y1[1] (numeric) = 1.668055593416489 absolute error = 1.170175067954915e-13 relative error = 7.015204244830331e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.410999999999845 y2[1] (analytic) = 1.667311148147464 y2[1] (numeric) = 1.66731114814732 absolute error = 1.438849039914203e-13 relative error = 8.629757208262514e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.667311148147464 y1[1] (numeric) = 1.667311148147347 absolute error = 1.172395514004165e-13 relative error = 7.031654021547234e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.411999999999845 y2[1] (analytic) = 1.66656603556723 y2[1] (numeric) = 1.666566035567086 absolute error = 1.441069485963453e-13 relative error = 8.646939006368103e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.66656603556723 y1[1] (numeric) = 1.666566035567113 absolute error = 1.174615960053416e-13 relative error = 7.048121316438715e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.412999999999845 y2[1] (analytic) = 1.665820256421016 y2[1] (numeric) = 1.665820256420872 absolute error = 1.441069485963453e-13 relative error = 8.650810196410774e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.665820256421016 y1[1] (numeric) = 1.665820256420898 absolute error = 1.174615960053416e-13 relative error = 7.051276724038982e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.413999999999845 y2[1] (analytic) = 1.6650738114546 y2[1] (numeric) = 1.665073811454456 absolute error = 1.443289932012704e-13 relative error = 8.668023736148084e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.6650738114546 y1[1] (numeric) = 1.665073811454483 absolute error = 1.176836406102666e-13 relative error = 7.067773200243822e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.414999999999845 y2[1] (analytic) = 1.664326701414429 y2[1] (numeric) = 1.664326701414285 absolute error = 1.445510378061954e-13 relative error = 8.685256186982314e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.664326701414429 y1[1] (numeric) = 1.664326701414311 absolute error = 1.179056852151916e-13 relative error = 7.084287304589261e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.415999999999845 y2[1] (analytic) = 1.663578927047612 y2[1] (numeric) = 1.663578927047467 absolute error = 1.449951270160454e-13 relative error = 8.715854995432727e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.663578927047612 y1[1] (numeric) = 1.663578927047494 absolute error = 1.181277298201167e-13 relative error = 7.100819077442895e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.416999999999845 y2[1] (analytic) = 1.662830489101923 y2[1] (numeric) = 1.662830489101778 absolute error = 1.449951270160454e-13 relative error = 8.719777990981858e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.662830489101923 y1[1] (numeric) = 1.662830489101805 absolute error = 1.181277298201167e-13 relative error = 7.104015147323657e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.417999999999845 y2[1] (analytic) = 1.6620813883258 y2[1] (numeric) = 1.662081388325655 absolute error = 1.452171716209705e-13 relative error = 8.737067428884844e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.6620813883258 y1[1] (numeric) = 1.662081388325682 absolute error = 1.183497744250417e-13 relative error = 7.120576360237953e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.418999999999845 y2[1] (analytic) = 1.661331625468344 y2[1] (numeric) = 1.661331625468198 absolute error = 1.454392162258955e-13 relative error = 8.754375947360596e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.661331625468344 y1[1] (numeric) = 1.661331625468225 absolute error = 1.185718190299667e-13 relative error = 7.137155352504668e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.419999999999844 y2[1] (analytic) = 1.660581201279318 y2[1] (numeric) = 1.660581201279172 absolute error = 1.456612608308205e-13 relative error = 8.771703588996587e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.660581201279318 y1[1] (numeric) = 1.660581201279199 absolute error = 1.187938636348917e-13 relative error = 7.153752164806668e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.420999999999844 y2[1] (analytic) = 1.659830116509145 y2[1] (numeric) = 1.659830116508999 absolute error = 1.456612608308205e-13 relative error = 8.775672846397472e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.659830116509145 y1[1] (numeric) = 1.659830116509026 absolute error = 1.187938636348917e-13 relative error = 7.156989287839402e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.421999999999844 y2[1] (analytic) = 1.659078371908911 y2[1] (numeric) = 1.659078371908765 absolute error = 1.461053500406706e-13 relative error = 8.806416412538968e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.659078371908911 y1[1] (numeric) = 1.659078371908792 absolute error = 1.190159082398168e-13 relative error = 7.173615801095573e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.422999999999844 y2[1] (analytic) = 1.658325968230359 y2[1] (numeric) = 1.658325968230213 absolute error = 1.463273946455956e-13 relative error = 8.823801680060839e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.658325968230359 y1[1] (numeric) = 1.65832596823024 absolute error = 1.192379528447418e-13 relative error = 7.190260246119378e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.423999999999844 y2[1] (analytic) = 1.657572906225895 y2[1] (numeric) = 1.657572906225748 absolute error = 1.463273946455956e-13 relative error = 8.827810474941128e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.657572906225895 y1[1] (numeric) = 1.657572906225776 absolute error = 1.192379528447418e-13 relative error = 7.19352689687919e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.424999999999844 y2[1] (analytic) = 1.656819186648579 y2[1] (numeric) = 1.656819186648432 absolute error = 1.465494392505207e-13 relative error = 8.84522828027852e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.656819186648579 y1[1] (numeric) = 1.656819186648459 absolute error = 1.194599974496668e-13 relative error = 7.210201234530067e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.425999999999844 y2[1] (analytic) = 1.656064810252131 y2[1] (numeric) = 1.656064810251984 absolute error = 1.469935284603707e-13 relative error = 8.876073421184004e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.656064810252131 y1[1] (numeric) = 1.656064810252011 absolute error = 1.199040866595169e-13 relative error = 7.240301582234686e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.426999999999844 y2[1] (analytic) = 1.655309777790928 y2[1] (numeric) = 1.65530977779078 absolute error = 1.472155730652958e-13 relative error = 8.893536124806827e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.655309777790928 y1[1] (numeric) = 1.655309777790808 absolute error = 1.199040866595169e-13 relative error = 7.243604083553071e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.427999999999844 y2[1] (analytic) = 1.654554090020001 y2[1] (numeric) = 1.654554090019853 absolute error = 1.474376176702208e-13 relative error = 8.91101829547552e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.654554090020001 y1[1] (numeric) = 1.654554090019881 absolute error = 1.199040866595169e-13 relative error = 7.24691246921202e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.428999999999844 y2[1] (analytic) = 1.653797747695039 y2[1] (numeric) = 1.653797747694891 absolute error = 1.476596622751458e-13 relative error = 8.928519976577834e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.653797747695039 y1[1] (numeric) = 1.653797747694919 absolute error = 1.201261312644419e-13 relative error = 7.263653093727231e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.429999999999843 y2[1] (analytic) = 1.653040751572384 y2[1] (numeric) = 1.653040751572235 absolute error = 1.481037514849959e-13 relative error = 8.959473705903414e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.653040751572384 y1[1] (numeric) = 1.653040751572263 absolute error = 1.20348175869367e-13 relative error = 7.280411916941005e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.430999999999843 y2[1] (analytic) = 1.652283102409031 y2[1] (numeric) = 1.652283102408883 absolute error = 1.483257960899209e-13 relative error = 8.977020697824828e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.652283102409031 y1[1] (numeric) = 1.65228310240891 absolute error = 1.20570220474292e-13 relative error = 7.297188980417487e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.431999999999843 y2[1] (analytic) = 1.65152480096263 y2[1] (numeric) = 1.651524800962482 absolute error = 1.485478406948459e-13 relative error = 8.994587341846837e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.65152480096263 y1[1] (numeric) = 1.65152480096251 absolute error = 1.20792265079217e-13 relative error = 7.313984325806697e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.432999999999843 y2[1] (analytic) = 1.650765847991483 y2[1] (numeric) = 1.650765847991335 absolute error = 1.48769885299771e-13 relative error = 9.012173681735783e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.650765847991483 y1[1] (numeric) = 1.650765847991362 absolute error = 1.210143096841421e-13 relative error = 7.330797994844778e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.433999999999843 y2[1] (analytic) = 1.650006244254542 y2[1] (numeric) = 1.650006244254393 absolute error = 1.48991929904696e-13 relative error = 9.029779761349279e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.650006244254542 y1[1] (numeric) = 1.650006244254421 absolute error = 1.210143096841421e-13 relative error = 7.334172831498297e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.434999999999843 y2[1] (analytic) = 1.649245990511411 y2[1] (numeric) = 1.649245990511262 absolute error = 1.49213974509621e-13 relative error = 9.04740562463648e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.649245990511411 y1[1] (numeric) = 1.64924599051129 absolute error = 1.212363542890671e-13 relative error = 7.351017070017141e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.435999999999843 y2[1] (analytic) = 1.648485087522344 y2[1] (numeric) = 1.648485087522194 absolute error = 1.494360191145461e-13 relative error = 9.065051315638341e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.648485087522344 y1[1] (numeric) = 1.648485087522222 absolute error = 1.214583988939921e-13 relative error = 7.367879746885843e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.436999999999843 y2[1] (analytic) = 1.647723536048243 y2[1] (numeric) = 1.647723536048093 absolute error = 1.498801083243961e-13 relative error = 9.096192719553886e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.647723536048243 y1[1] (numeric) = 1.647723536048121 absolute error = 1.216804434989172e-13 relative error = 7.384760904171155e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.437999999999843 y2[1] (analytic) = 1.64696133685066 y2[1] (numeric) = 1.64696133685051 absolute error = 1.501021529293212e-13 relative error = 9.113884434976984e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.64696133685066 y1[1] (numeric) = 1.646961336850538 absolute error = 1.219024881038422e-13 relative error = 7.401660584027167e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.438999999999842 y2[1] (analytic) = 1.646198490691794 y2[1] (numeric) = 1.646198490691644 absolute error = 1.503241975342462e-13 relative error = 9.131596121867076e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.646198490691794 y1[1] (numeric) = 1.646198490691672 absolute error = 1.221245327087672e-13 relative error = 7.418578828695557e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.439999999999842 y2[1] (analytic) = 1.645434998334491 y2[1] (numeric) = 1.645434998334341 absolute error = 1.505462421391712e-13 relative error = 9.14932782465148e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.645434998334491 y1[1] (numeric) = 1.645434998334369 absolute error = 1.223465773136923e-13 relative error = 7.435515680505849e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.440999999999842 y2[1] (analytic) = 1.644670860542244 y2[1] (numeric) = 1.644670860542093 absolute error = 1.507682867440963e-13 relative error = 9.167079587850686e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.644670860542244 y1[1] (numeric) = 1.644670860542121 absolute error = 1.225686219186173e-13 relative error = 7.452471181875669e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.441999999999842 y2[1] (analytic) = 1.64390607807919 y2[1] (numeric) = 1.643906078079039 absolute error = 1.509903313490213e-13 relative error = 9.184851456078614e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.64390607807919 y1[1] (numeric) = 1.643906078079067 absolute error = 1.227906665235423e-13 relative error = 7.469445375310991e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.442999999999842 y2[1] (analytic) = 1.643140651710111 y2[1] (numeric) = 1.64314065170996 absolute error = 1.512123759539463e-13 relative error = 9.202643474042889e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.643140651710111 y1[1] (numeric) = 1.643140651709988 absolute error = 1.230127111284673e-13 relative error = 7.486438303406403e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.443999999999842 y2[1] (analytic) = 1.642374582200434 y2[1] (numeric) = 1.642374582200283 absolute error = 1.514344205588714e-13 relative error = 9.220455686545106e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.642374582200434 y1[1] (numeric) = 1.642374582200311 absolute error = 1.232347557333924e-13 relative error = 7.503450008845357e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.444999999999842 y2[1] (analytic) = 1.641607870316229 y2[1] (numeric) = 1.641607870316077 absolute error = 1.518785097687214e-13 relative error = 9.251814182607719e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.641607870316229 y1[1] (numeric) = 1.641607870316105 absolute error = 1.236788449432424e-13 relative error = 7.534006578527045e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.445999999999842 y2[1] (analytic) = 1.640840516824207 y2[1] (numeric) = 1.640840516824055 absolute error = 1.521005543736464e-13 relative error = 9.269673244541284e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.640840516824207 y1[1] (numeric) = 1.640840516824083 absolute error = 1.236788449432424e-13 relative error = 7.537529922933571e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.446999999999842 y2[1] (analytic) = 1.640072522491721 y2[1] (numeric) = 1.640072522491569 absolute error = 1.523225989785715e-13 relative error = 9.287552647193404e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.640072522491721 y1[1] (numeric) = 1.640072522491597 absolute error = 1.239008895481675e-13 relative error = 7.554598217396383e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.447999999999841 y2[1] (analytic) = 1.639303888086767 y2[1] (numeric) = 1.639303888086614 absolute error = 1.527666881884215e-13 relative error = 9.31899749025275e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.639303888086767 y1[1] (numeric) = 1.639303888086642 absolute error = 1.241229341530925e-13 relative error = 7.57168546083036e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.448999999999841 y2[1] (analytic) = 1.638534614377977 y2[1] (numeric) = 1.638534614377824 absolute error = 1.529887327933466e-13 relative error = 9.336924069280305e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.638534614377977 y1[1] (numeric) = 1.638534614377853 absolute error = 1.243449787580175e-13 relative error = 7.588791696367157e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.449999999999841 y2[1] (analytic) = 1.637764702134626 y2[1] (numeric) = 1.637764702134473 absolute error = 1.532107773982716e-13 relative error = 9.354871136163827e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.637764702134626 y1[1] (numeric) = 1.637764702134502 absolute error = 1.243449787580175e-13 relative error = 7.59235918297354e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.450999999999841 y2[1] (analytic) = 1.636994152126626 y2[1] (numeric) = 1.636994152126473 absolute error = 1.534328220031966e-13 relative error = 9.372838736404244e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.636994152126626 y1[1] (numeric) = 1.636994152126502 absolute error = 1.245670233629426e-13 relative error = 7.609497150684197e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.451999999999841 y2[1] (analytic) = 1.636222965124527 y2[1] (numeric) = 1.636222965124374 absolute error = 1.536548666081217e-13 relative error = 9.390826915598725e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.636222965124527 y1[1] (numeric) = 1.636222965124403 absolute error = 1.247890679678676e-13 relative error = 7.626654229142317e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.452999999999841 y2[1] (analytic) = 1.635451141899517 y2[1] (numeric) = 1.635451141899363 absolute error = 1.538769112130467e-13 relative error = 9.408835719440956e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.635451141899517 y1[1] (numeric) = 1.635451141899392 absolute error = 1.250111125727926e-13 relative error = 7.643830461825768e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.453999999999841 y2[1] (analytic) = 1.634678683223417 y2[1] (numeric) = 1.634678683223263 absolute error = 1.540989558179717e-13 relative error = 9.426865193721408e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.634678683223417 y1[1] (numeric) = 1.634678683223292 absolute error = 1.252331571777177e-13 relative error = 7.661025892303854e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.454999999999841 y2[1] (analytic) = 1.633905589868687 y2[1] (numeric) = 1.633905589868532 absolute error = 1.545430450278218e-13 relative error = 9.458505190636019e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.633905589868687 y1[1] (numeric) = 1.633905589868561 absolute error = 1.254552017826427e-13 relative error = 7.678240564237572e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.455999999999841 y2[1] (analytic) = 1.633131862608419 y2[1] (numeric) = 1.633131862608265 absolute error = 1.547650896327468e-13 relative error = 9.476582581981947e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.633131862608419 y1[1] (numeric) = 1.633131862608294 absolute error = 1.256772463875677e-13 relative error = 7.695474521379888e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.45699999999984 y2[1] (analytic) = 1.632357502216342 y2[1] (numeric) = 1.632357502216187 absolute error = 1.549871342376719e-13 relative error = 9.494680793100606e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.632357502216342 y1[1] (numeric) = 1.632357502216216 absolute error = 1.258992909924928e-13 relative error = 7.712727807575993e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.45799999999984 y2[1] (analytic) = 1.631582509466816 y2[1] (numeric) = 1.631582509466661 absolute error = 1.552091788425969e-13 relative error = 9.512799870189687e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.631582509466816 y1[1] (numeric) = 1.63158250946669 absolute error = 1.261213355974178e-13 relative error = 7.73000046676358e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.45899999999984 y2[1] (analytic) = 1.630806885134832 y2[1] (numeric) = 1.630806885134677 absolute error = 1.554312234475219e-13 relative error = 9.53093985954512e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.630806885134832 y1[1] (numeric) = 1.630806885134706 absolute error = 1.263433802023428e-13 relative error = 7.747292542973104e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.45999999999984 y2[1] (analytic) = 1.630030629996016 y2[1] (numeric) = 1.630030629995861 absolute error = 1.556532680524469e-13 relative error = 9.54910080756135e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.630030629996016 y1[1] (numeric) = 1.63003062999589 absolute error = 1.265654248072678e-13 relative error = 7.764604080328058e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.46099999999984 y2[1] (analytic) = 1.629253744826623 y2[1] (numeric) = 1.629253744826467 absolute error = 1.55875312657372e-13 relative error = 9.567282760731629e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.629253744826623 y1[1] (numeric) = 1.629253744826496 absolute error = 1.267874694121929e-13 relative error = 7.781935123045242e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.46199999999984 y2[1] (analytic) = 1.628476230403537 y2[1] (numeric) = 1.628476230403381 absolute error = 1.56097357262297e-13 relative error = 9.585485765648298e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.628476230403537 y1[1] (numeric) = 1.62847623040341 absolute error = 1.270095140171179e-13 relative error = 7.79928571543503e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.46299999999984 y2[1] (analytic) = 1.627698087504273 y2[1] (numeric) = 1.627698087504117 absolute error = 1.56319401867222e-13 relative error = 9.603709869003066e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.627698087504273 y1[1] (numeric) = 1.627698087504146 absolute error = 1.272315586220429e-13 relative error = 7.816655901901643e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.46399999999984 y2[1] (analytic) = 1.626919316906974 y2[1] (numeric) = 1.626919316906817 absolute error = 1.565414464721471e-13 relative error = 9.621955117587308e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.626919316906974 y1[1] (numeric) = 1.626919316906847 absolute error = 1.27453603226968e-13 relative error = 7.834045726943426e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.46499999999984 y2[1] (analytic) = 1.62613991939041 y2[1] (numeric) = 1.626139919390253 absolute error = 1.567634910770721e-13 relative error = 9.640221558292345e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.62613991939041 y1[1] (numeric) = 1.626139919390283 absolute error = 1.27675647831893e-13 relative error = 7.851455235153115e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.465999999999839 y2[1] (analytic) = 1.625359895733979 y2[1] (numeric) = 1.625359895733822 absolute error = 1.569855356819971e-13 relative error = 9.658509238109735e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.625359895733979 y1[1] (numeric) = 1.625359895733851 absolute error = 1.27897692436818e-13 relative error = 7.868884471218115e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.466999999999839 y2[1] (analytic) = 1.624579246717705 y2[1] (numeric) = 1.624579246717547 absolute error = 1.572075802869222e-13 relative error = 9.676818204131556e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.624579246717705 y1[1] (numeric) = 1.624579246717577 absolute error = 1.281197370417431e-13 relative error = 7.886333479920775e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.467999999999839 y2[1] (analytic) = 1.623797973122235 y2[1] (numeric) = 1.623797973122078 absolute error = 1.574296248918472e-13 relative error = 9.695148503550712e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.623797973122235 y1[1] (numeric) = 1.623797973122107 absolute error = 1.283417816466681e-13 relative error = 7.903802306138662e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.468999999999839 y2[1] (analytic) = 1.623016075728845 y2[1] (numeric) = 1.623016075728687 absolute error = 1.576516694967722e-13 relative error = 9.713500183661204e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.623016075728845 y1[1] (numeric) = 1.623016075728716 absolute error = 1.285638262515931e-13 relative error = 7.921290994844841e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.469999999999839 y2[1] (analytic) = 1.622233555319431 y2[1] (numeric) = 1.622233555319273 absolute error = 1.580957587066223e-13 relative error = 9.745560877360348e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.622233555319431 y1[1] (numeric) = 1.622233555319302 absolute error = 1.287858708565182e-13 relative error = 7.938799591108148e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.470999999999839 y2[1] (analytic) = 1.621450412676513 y2[1] (numeric) = 1.621450412676355 absolute error = 1.583178033115473e-13 relative error = 9.763962072094057e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.621450412676513 y1[1] (numeric) = 1.621450412676384 absolute error = 1.290079154614432e-13 relative error = 7.956328140093474e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.471999999999839 y2[1] (analytic) = 1.620666648583235 y2[1] (numeric) = 1.620666648583076 absolute error = 1.585398479164724e-13 relative error = 9.78238480165343e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.620666648583235 y1[1] (numeric) = 1.620666648583105 absolute error = 1.292299600663682e-13 relative error = 7.97387668706204e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.472999999999839 y2[1] (analytic) = 1.619882263823359 y2[1] (numeric) = 1.6198822638232 absolute error = 1.587618925213974e-13 relative error = 9.800829113757718e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.619882263823359 y1[1] (numeric) = 1.61988226382323 absolute error = 1.294520046712933e-13 relative error = 7.991445277371677e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.473999999999839 y2[1] (analytic) = 1.619097259181272 y2[1] (numeric) = 1.619097259181113 absolute error = 1.589839371263224e-13 relative error = 9.81929505622879e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.619097259181272 y1[1] (numeric) = 1.619097259181142 absolute error = 1.296740492762183e-13 relative error = 8.009033956477113e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.474999999999838 y2[1] (analytic) = 1.618311635441976 y2[1] (numeric) = 1.618311635441817 absolute error = 1.592059817312474e-13 relative error = 9.83778267699143e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.618311635441976 y1[1] (numeric) = 1.618311635441847 absolute error = 1.298960938811433e-13 relative error = 8.026642769930246e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.475999999999838 y2[1] (analytic) = 1.617525393391097 y2[1] (numeric) = 1.617525393390938 absolute error = 1.594280263361725e-13 relative error = 9.856292024073638e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.617525393391097 y1[1] (numeric) = 1.617525393390967 absolute error = 1.301181384860683e-13 relative error = 8.044271763380436e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.476999999999838 y2[1] (analytic) = 1.616738533814876 y2[1] (numeric) = 1.616738533814717 absolute error = 1.596500709410975e-13 relative error = 9.874823145606929e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.616738533814876 y1[1] (numeric) = 1.616738533814746 absolute error = 1.303401830909934e-13 relative error = 8.061920982574781e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.477999999999838 y2[1] (analytic) = 1.615951057500173 y2[1] (numeric) = 1.615951057500013 absolute error = 1.598721155460225e-13 relative error = 9.893376089826622e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.615951057500173 y1[1] (numeric) = 1.615951057500042 absolute error = 1.303401830909934e-13 relative error = 8.065849673233648e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.478999999999838 y2[1] (analytic) = 1.615162965234463 y2[1] (numeric) = 1.615162965234303 absolute error = 1.603162047558726e-13 relative error = 9.925698409794859e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.615162965234463 y1[1] (numeric) = 1.615162965234333 absolute error = 1.305622276959184e-13 relative error = 8.083532776952045e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.479999999999838 y2[1] (analytic) = 1.61437425780584 y2[1] (numeric) = 1.614374257805679 absolute error = 1.605382493607976e-13 relative error = 9.944301860895105e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.61437425780584 y1[1] (numeric) = 1.614374257805709 absolute error = 1.305622276959184e-13 relative error = 8.087482011350375e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.480999999999838 y2[1] (analytic) = 1.613584936003009 y2[1] (numeric) = 1.613584936002848 absolute error = 1.609823385706477e-13 relative error = 9.976688241117011e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.613584936003009 y1[1] (numeric) = 1.613584936002879 absolute error = 1.307842723008434e-13 relative error = 8.105199136576441e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.481999999999838 y2[1] (analytic) = 1.612795000615294 y2[1] (numeric) = 1.612795000615133 absolute error = 1.609823385706477e-13 relative error = 9.98157475123817e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = 1.612795000615294 y1[1] (numeric) = 1.612795000615163 absolute error = 1.307842723008434e-13 relative error = 8.10916900479901e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.482999999999838 y2[1] (analytic) = 1.61200445243263 y2[1] (numeric) = 1.612004452432468 absolute error = 1.614264277804978e-13 relative error = 1.001401872909803e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.61200445243263 y1[1] (numeric) = 1.612004452432499 absolute error = 1.312283615106935e-13 relative error = 8.140694730257137e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.483999999999837 y2[1] (analytic) = 1.611213292245564 y2[1] (numeric) = 1.611213292245402 absolute error = 1.616484723854228e-13 relative error = 1.003271715566173e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.611213292245564 y1[1] (numeric) = 1.611213292245432 absolute error = 1.314504061156185e-13 relative error = 8.158473291417229e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.484999999999837 y2[1] (analytic) = 1.610421520845256 y2[1] (numeric) = 1.610421520845094 absolute error = 1.618705169903478e-13 relative error = 1.00514377692486e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.610421520845256 y1[1] (numeric) = 1.610421520845125 absolute error = 1.316724507205436e-13 relative error = 8.176272424093855e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.485999999999837 y2[1] (analytic) = 1.609629139023479 y2[1] (numeric) = 1.609629139023317 absolute error = 1.620925615952729e-13 relative error = 1.007018061897229e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.609629139023479 y1[1] (numeric) = 1.609629139023347 absolute error = 1.316724507205436e-13 relative error = 8.180297406918584e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.486999999999837 y2[1] (analytic) = 1.608836147572613 y2[1] (numeric) = 1.608836147572451 absolute error = 1.623146062001979e-13 relative error = 1.008894575405305e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.608836147572613 y1[1] (numeric) = 1.608836147572482 absolute error = 1.318944953254686e-13 relative error = 8.198131023129293e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.487999999999837 y2[1] (analytic) = 1.608042547285651 y2[1] (numeric) = 1.608042547285488 absolute error = 1.625366508051229e-13 relative error = 1.010773322381812e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.608042547285651 y1[1] (numeric) = 1.608042547285519 absolute error = 1.321165399303936e-13 relative error = 8.215985339032486e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.488999999999837 y2[1] (analytic) = 1.607248338956192 y2[1] (numeric) = 1.607248338956029 absolute error = 1.627586954100479e-13 relative error = 1.012654307770196e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.607248338956192 y1[1] (numeric) = 1.60724833895606 absolute error = 1.323385845353187e-13 relative error = 8.233860401514824e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.489999999999837 y2[1] (analytic) = 1.606453523378445 y2[1] (numeric) = 1.606453523378282 absolute error = 1.62980740014973e-13 relative error = 1.014537536524661e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.606453523378445 y1[1] (numeric) = 1.606453523378312 absolute error = 1.325606291402437e-13 relative error = 8.251756257564344e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.490999999999837 y2[1] (analytic) = 1.605658101347224 y2[1] (numeric) = 1.605658101347061 absolute error = 1.63202784619898e-13 relative error = 1.016423013610201e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.605658101347224 y1[1] (numeric) = 1.605658101347092 absolute error = 1.325606291402437e-13 relative error = 8.25584406973184e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.491999999999837 y2[1] (analytic) = 1.604862073657953 y2[1] (numeric) = 1.60486207365779 absolute error = 1.63424829224823e-13 relative error = 1.018310744002628e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.604862073657953 y1[1] (numeric) = 1.604862073657821 absolute error = 1.327826737451687e-13 relative error = 8.273774795021351e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.492999999999836 y2[1] (analytic) = 1.604065441106659 y2[1] (numeric) = 1.604065441106495 absolute error = 1.636468738297481e-13 relative error = 1.020200732688603e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.604065441106659 y1[1] (numeric) = 1.604065441106526 absolute error = 1.330047183500938e-13 relative error = 8.291726443425687e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.493999999999836 y2[1] (analytic) = 1.603268204489974 y2[1] (numeric) = 1.60326820448981 absolute error = 1.638689184346731e-13 relative error = 1.022092984665672e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.603268204489974 y1[1] (numeric) = 1.603268204489841 absolute error = 1.332267629550188e-13 relative error = 8.309699062322539e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.494999999999836 y2[1] (analytic) = 1.602470364605135 y2[1] (numeric) = 1.60247036460497 absolute error = 1.640909630395981e-13 relative error = 1.023987504942295e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.602470364605135 y1[1] (numeric) = 1.602470364605001 absolute error = 1.332267629550188e-13 relative error = 8.313836305350162e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.495999999999836 y2[1] (analytic) = 1.601671922249981 y2[1] (numeric) = 1.601671922249817 absolute error = 1.643130076445232e-13 relative error = 1.025884298537875e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.601671922249981 y1[1] (numeric) = 1.601671922249847 absolute error = 1.334488075599438e-13 relative error = 8.331844100287337e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.496999999999836 y2[1] (analytic) = 1.600872878222955 y2[1] (numeric) = 1.600872878222791 absolute error = 1.645350522494482e-13 relative error = 1.027783370482795e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.600872878222955 y1[1] (numeric) = 1.600872878222821 absolute error = 1.336708521648688e-13 relative error = 8.349872996364948e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.497999999999836 y2[1] (analytic) = 1.600073233323101 y2[1] (numeric) = 1.600073233322936 absolute error = 1.647570968543732e-13 relative error = 1.029684725818446e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.600073233323101 y1[1] (numeric) = 1.600073233322967 absolute error = 1.338928967697939e-13 relative error = 8.36792304135476e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.498999999999836 y2[1] (analytic) = 1.599272988350064 y2[1] (numeric) = 1.599272988349899 absolute error = 1.649791414592983e-13 relative error = 1.031588369597262e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.599272988350064 y1[1] (numeric) = 1.59927298834993 absolute error = 1.341149413747189e-13 relative error = 8.385994283132517e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.499999999999836 y2[1] (analytic) = 1.598472144104088 y2[1] (numeric) = 1.598472144103923 absolute error = 1.652011860642233e-13 relative error = 1.033494306882747e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.598472144104088 y1[1] (numeric) = 1.598472144103954 absolute error = 1.343369859796439e-13 relative error = 8.404086769678252e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.500999999999836 y2[1] (analytic) = 1.597670701386018 y2[1] (numeric) = 1.597670701385853 absolute error = 1.656452752740734e-13 relative error = 1.036792344820319e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.597670701386018 y1[1] (numeric) = 1.597670701385884 absolute error = 1.34559030584569e-13 relative error = 8.422200549076586e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.501999999999835 y2[1] (analytic) = 1.596868660997297 y2[1] (numeric) = 1.596868660997131 absolute error = 1.656452752740734e-13 relative error = 1.037313082283314e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.596868660997297 y1[1] (numeric) = 1.596868660997162 absolute error = 1.34559030584569e-13 relative error = 8.426430668414048e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.502999999999835 y2[1] (analytic) = 1.596066023739964 y2[1] (numeric) = 1.596066023739798 absolute error = 1.660893644839234e-13 relative error = 1.040617129952659e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.596066023739964 y1[1] (numeric) = 1.596066023739829 absolute error = 1.34781075189494e-13 relative error = 8.444580185578398e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.503999999999835 y2[1] (analytic) = 1.595262790416657 y2[1] (numeric) = 1.595262790416491 absolute error = 1.660893644839234e-13 relative error = 1.041141092750891e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.595262790416657 y1[1] (numeric) = 1.595262790416522 absolute error = 1.34781075189494e-13 relative error = 8.44883212967635e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.504999999999835 y2[1] (analytic) = 1.59445896183061 y2[1] (numeric) = 1.594458961830443 absolute error = 1.665334536937735e-13 relative error = 1.044451175479457e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.59445896183061 y1[1] (numeric) = 1.594458961830474 absolute error = 1.352251643993441e-13 relative error = 8.480943544893192e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.505999999999835 y2[1] (analytic) = 1.59365453878565 y2[1] (numeric) = 1.593654538785483 absolute error = 1.667554982986985e-13 relative error = 1.046371683701066e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.59365453878565 y1[1] (numeric) = 1.593654538785514 absolute error = 1.354472090042691e-13 relative error = 8.499157484123169e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.506999999999835 y2[1] (analytic) = 1.5928495220862 y2[1] (numeric) = 1.592849522086033 absolute error = 1.669775429036235e-13 relative error = 1.048294522416206e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.5928495220862 y1[1] (numeric) = 1.592849522086065 absolute error = 1.356692536091941e-13 relative error = 8.517392994631675e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.507999999999835 y2[1] (analytic) = 1.592043912537278 y2[1] (numeric) = 1.592043912537111 absolute error = 1.671995875085486e-13 relative error = 1.050219696780088e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.592043912537278 y1[1] (numeric) = 1.592043912537142 absolute error = 1.358912982141192e-13 relative error = 8.535650125224622e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.508999999999835 y2[1] (analytic) = 1.591237710944493 y2[1] (numeric) = 1.591237710944326 absolute error = 1.674216321134736e-13 relative error = 1.052147211959293e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.591237710944493 y1[1] (numeric) = 1.591237710944357 absolute error = 1.358912982141192e-13 relative error = 8.53997471775978e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.509999999999835 y2[1] (analytic) = 1.590430918114046 y2[1] (numeric) = 1.590430918113878 absolute error = 1.678657213233237e-13 relative error = 1.055473201705491e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.590430918114046 y1[1] (numeric) = 1.59043091811391 absolute error = 1.361133428190442e-13 relative error = 8.558268156686061e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.510999999999834 y2[1] (analytic) = 1.589623534852731 y2[1] (numeric) = 1.589623534852562 absolute error = 1.680877659282487e-13 relative error = 1.057406123166269e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.589623534852731 y1[1] (numeric) = 1.589623534852594 absolute error = 1.363353874239692e-13 relative error = 8.576583350384272e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.511999999999834 y2[1] (analytic) = 1.588815561967929 y2[1] (numeric) = 1.588815561967761 absolute error = 1.683098105331737e-13 relative error = 1.059341402250006e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.588815561967929 y1[1] (numeric) = 1.588815561967793 absolute error = 1.365574320288943e-13 relative error = 8.594920348070628e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.512999999999834 y2[1] (analytic) = 1.588007000267615 y2[1] (numeric) = 1.588007000267446 absolute error = 1.685318551380988e-13 relative error = 1.061279044171073e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.588007000267615 y1[1] (numeric) = 1.588007000267478 absolute error = 1.367794766338193e-13 relative error = 8.613279199069581e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.513999999999834 y2[1] (analytic) = 1.587197850560349 y2[1] (numeric) = 1.58719785056018 absolute error = 1.687538997430238e-13 relative error = 1.063219054155387e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.587197850560349 y1[1] (numeric) = 1.587197850560212 absolute error = 1.370015212387443e-13 relative error = 8.63165995281413e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.514999999999834 y2[1] (analytic) = 1.586388113655282 y2[1] (numeric) = 1.586388113655113 absolute error = 1.689759443479488e-13 relative error = 1.06516143744044e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.586388113655282 y1[1] (numeric) = 1.586388113655145 absolute error = 1.372235658436693e-13 relative error = 8.650062658846148e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.515999999999834 y2[1] (analytic) = 1.58557779036215 y2[1] (numeric) = 1.585577790361981 absolute error = 1.691979889528739e-13 relative error = 1.067106199275335e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.58557779036215 y1[1] (numeric) = 1.585577790362013 absolute error = 1.374456104485944e-13 relative error = 8.668487366816701e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.516999999999834 y2[1] (analytic) = 1.584766881491276 y2[1] (numeric) = 1.584766881491107 absolute error = 1.694200335577989e-13 relative error = 1.069053344920822e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.584766881491276 y1[1] (numeric) = 1.584766881491139 absolute error = 1.376676550535194e-13 relative error = 8.686934126486366e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.517999999999834 y2[1] (analytic) = 1.58395538785357 y2[1] (numeric) = 1.5839553878534 absolute error = 1.696420781627239e-13 relative error = 1.071002879649326e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.58395538785357 y1[1] (numeric) = 1.583955387853432 absolute error = 1.378896996584444e-13 relative error = 8.705402987725547e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.518999999999834 y2[1] (analytic) = 1.583143310260525 y2[1] (numeric) = 1.583143310260354 absolute error = 1.70086167372574e-13 relative error = 1.074357364050538e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.583143310260525 y1[1] (numeric) = 1.583143310260386 absolute error = 1.383337888682945e-13 relative error = 8.7379195535703e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.519999999999833 y2[1] (analytic) = 1.582330649524217 y2[1] (numeric) = 1.582330649524047 absolute error = 1.70308211977499e-13 relative error = 1.076312413140124e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.582330649524217 y1[1] (numeric) = 1.582330649524079 absolute error = 1.385558334732195e-13 relative error = 8.756439971309483e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.520999999999833 y2[1] (analytic) = 1.581517406457309 y2[1] (numeric) = 1.581517406457138 absolute error = 1.70530256582424e-13 relative error = 1.078269868457672e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.581517406457309 y1[1] (numeric) = 1.58151740645717 absolute error = 1.385558334732195e-13 relative error = 8.760942681218582e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.521999999999833 y2[1] (analytic) = 1.580703581873043 y2[1] (numeric) = 1.580703581872872 absolute error = 1.707523011873491e-13 relative error = 1.08022973532468e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.580703581873043 y1[1] (numeric) = 1.580703581872904 absolute error = 1.387778780781446e-13 relative error = 8.77950044964792e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.522999999999833 y2[1] (analytic) = 1.579889176585243 y2[1] (numeric) = 1.579889176585072 absolute error = 1.709743457922741e-13 relative error = 1.082192019074505e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.579889176585243 y1[1] (numeric) = 1.579889176585104 absolute error = 1.389999226830696e-13 relative error = 8.798080570657661e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.523999999999833 y2[1] (analytic) = 1.579074191408315 y2[1] (numeric) = 1.579074191408144 absolute error = 1.711963903971991e-13 relative error = 1.084156725052391e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.579074191408315 y1[1] (numeric) = 1.579074191408176 absolute error = 1.392219672879946e-13 relative error = 8.816683094784035e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.524999999999833 y2[1] (analytic) = 1.578258627157244 y2[1] (numeric) = 1.578258627157073 absolute error = 1.714184350021242e-13 relative error = 1.086123858615509e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.578258627157244 y1[1] (numeric) = 1.578258627157105 absolute error = 1.392219672879946e-13 relative error = 8.821239110776218e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.525999999999833 y2[1] (analytic) = 1.577442484647594 y2[1] (numeric) = 1.577442484647422 absolute error = 1.716404796070492e-13 relative error = 1.088093425132988e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.577442484647594 y1[1] (numeric) = 1.577442484647455 absolute error = 1.394440118929197e-13 relative error = 8.839879314146399e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.526999999999833 y2[1] (analytic) = 1.576625764695508 y2[1] (numeric) = 1.576625764695336 absolute error = 1.718625242119742e-13 relative error = 1.090065429985954e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.576625764695508 y1[1] (numeric) = 1.576625764695368 absolute error = 1.396660564978447e-13 relative error = 8.858542060221772e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.527999999999833 y2[1] (analytic) = 1.575808468117704 y2[1] (numeric) = 1.575808468117532 absolute error = 1.720845688168993e-13 relative error = 1.092039878567561e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.575808468117704 y1[1] (numeric) = 1.575808468117564 absolute error = 1.398881011027697e-13 relative error = 8.877227399968564e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.528999999999832 y2[1] (analytic) = 1.574990595731481 y2[1] (numeric) = 1.574990595731309 absolute error = 1.723066134218243e-13 relative error = 1.094016776283029e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.574990595731481 y1[1] (numeric) = 1.574990595731341 absolute error = 1.401101457076948e-13 relative error = 8.895935384466387e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.529999999999832 y2[1] (analytic) = 1.57417214835471 y2[1] (numeric) = 1.574172148354537 absolute error = 1.725286580267493e-13 relative error = 1.095996128549679e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.57417214835471 y1[1] (numeric) = 1.574172148354569 absolute error = 1.403321903126198e-13 relative error = 8.914666064908588e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.530999999999832 y2[1] (analytic) = 1.573353126805838 y2[1] (numeric) = 1.573353126805665 absolute error = 1.727507026316744e-13 relative error = 1.097977940796967e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.573353126805838 y1[1] (numeric) = 1.573353126805697 absolute error = 1.405542349175448e-13 relative error = 8.933419492602574e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.531999999999832 y2[1] (analytic) = 1.572533531903887 y2[1] (numeric) = 1.572533531903714 absolute error = 1.729727472365994e-13 relative error = 1.099962218466521e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.572533531903887 y1[1] (numeric) = 1.572533531903747 absolute error = 1.407762795224698e-13 relative error = 8.952195718970146e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.532999999999832 y2[1] (analytic) = 1.571713364468452 y2[1] (numeric) = 1.571713364468279 absolute error = 1.731947918415244e-13 relative error = 1.101948967012177e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.571713364468452 y1[1] (numeric) = 1.571713364468311 absolute error = 1.409983241273949e-13 relative error = 8.97099479554785e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.533999999999832 y2[1] (analytic) = 1.570892625319701 y2[1] (numeric) = 1.570892625319527 absolute error = 1.734168364464495e-13 relative error = 1.103938191900013e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.570892625319701 y1[1] (numeric) = 1.570892625319559 absolute error = 1.412203687323199e-13 relative error = 8.989816773987299e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.534999999999832 y2[1] (analytic) = 1.570071315278371 y2[1] (numeric) = 1.570071315278198 absolute error = 1.736388810513745e-13 relative error = 1.105929898608386e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.570071315278371 y1[1] (numeric) = 1.57007131527823 absolute error = 1.414424133372449e-13 relative error = 9.008661706055525e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.535999999999832 y2[1] (analytic) = 1.569249435165774 y2[1] (numeric) = 1.5692494351656 absolute error = 1.738609256562995e-13 relative error = 1.10792409262797e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.569249435165774 y1[1] (numeric) = 1.569249435165632 absolute error = 1.4166445794217e-13 relative error = 9.027529643635314e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.536999999999832 y2[1] (analytic) = 1.568426985803789 y2[1] (numeric) = 1.568426985803615 absolute error = 1.740829702612245e-13 relative error = 1.109920779461789e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.568426985803789 y1[1] (numeric) = 1.568426985803647 absolute error = 1.4166445794217e-13 relative error = 9.032263485926292e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.537999999999832 y2[1] (analytic) = 1.567603968014865 y2[1] (numeric) = 1.567603968014691 absolute error = 1.743050148661496e-13 relative error = 1.111919964625253e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.567603968014865 y1[1] (numeric) = 1.567603968014724 absolute error = 1.41886502547095e-13 relative error = 9.051170157904928e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.538999999999831 y2[1] (analytic) = 1.566780382622021 y2[1] (numeric) = 1.566780382621847 absolute error = 1.747491040759996e-13 relative error = 1.115338856767886e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.566780382622021 y1[1] (numeric) = 1.566780382621879 absolute error = 1.4210854715202e-13 relative error = 9.070099978798565e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.539999999999831 y2[1] (analytic) = 1.565956230448842 y2[1] (numeric) = 1.565956230448667 absolute error = 1.749711486809247e-13 relative error = 1.117343801051027e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.565956230448842 y1[1] (numeric) = 1.5659562304487 absolute error = 1.423305917569451e-13 relative error = 9.089053000935383e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.540999999999831 y2[1] (analytic) = 1.565131512319479 y2[1] (numeric) = 1.565131512319304 absolute error = 1.751931932858497e-13 relative error = 1.119351261583242e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.565131512319479 y1[1] (numeric) = 1.565131512319337 absolute error = 1.425526363618701e-13 relative error = 9.108029276760984e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.541999999999831 y2[1] (analytic) = 1.564306229058651 y2[1] (numeric) = 1.564306229058476 absolute error = 1.754152378907747e-13 relative error = 1.121361243931976e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.564306229058651 y1[1] (numeric) = 1.564306229058508 absolute error = 1.427746809667951e-13 relative error = 9.127028858838741e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.542999999999831 y2[1] (analytic) = 1.563480381491641 y2[1] (numeric) = 1.563480381491466 absolute error = 1.754152378907747e-13 relative error = 1.121953559298388e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.563480381491641 y1[1] (numeric) = 1.563480381491498 absolute error = 1.427746809667951e-13 relative error = 9.13184985606156e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.543999999999831 y2[1] (analytic) = 1.562653970444296 y2[1] (numeric) = 1.562653970444121 absolute error = 1.756372824956998e-13 relative error = 1.123967850961671e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.562653970444296 y1[1] (numeric) = 1.562653970444153 absolute error = 1.429967255717202e-13 relative error = 9.150888698095017e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.544999999999831 y2[1] (analytic) = 1.561826996743028 y2[1] (numeric) = 1.561826996742852 absolute error = 1.760813717055498e-13 relative error = 1.127406377740575e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.561826996743028 y1[1] (numeric) = 1.561826996742885 absolute error = 1.432187701766452e-13 relative error = 9.169950991710855e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.545999999999831 y2[1] (analytic) = 1.56099946121481 y2[1] (numeric) = 1.560999461214634 absolute error = 1.763034163104749e-13 relative error = 1.129426503281884e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.56099946121481 y1[1] (numeric) = 1.560999461214667 absolute error = 1.434408147815702e-13 relative error = 9.18903678992566e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.546999999999831 y2[1] (analytic) = 1.560171364687178 y2[1] (numeric) = 1.560171364687001 absolute error = 1.765254609153999e-13 relative error = 1.131449178666307e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.560171364687178 y1[1] (numeric) = 1.560171364687034 absolute error = 1.436628593864953e-13 relative error = 9.208146145875483e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.54799999999983 y2[1] (analytic) = 1.559342707988227 y2[1] (numeric) = 1.55934270798805 absolute error = 1.7696955012525e-13 relative error = 1.134898372363351e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.559342707988227 y1[1] (numeric) = 1.559342707988083 absolute error = 1.441069485963453e-13 relative error = 9.241518741076724e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.54899999999983 y2[1] (analytic) = 1.558513491946615 y2[1] (numeric) = 1.558513491946438 absolute error = 1.77191594730175e-13 relative error = 1.136926922004756e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.558513491946615 y1[1] (numeric) = 1.558513491946471 absolute error = 1.443289932012704e-13 relative error = 9.260682948660296e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.54999999999983 y2[1] (analytic) = 1.557683717391558 y2[1] (numeric) = 1.55768371739138 absolute error = 1.774136393351e-13 relative error = 1.138958039775819e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.557683717391558 y1[1] (numeric) = 1.557683717391413 absolute error = 1.445510378061954e-13 relative error = 9.279870887284836e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.55099999999983 y2[1] (analytic) = 1.55685338515283 y2[1] (numeric) = 1.556853385152652 absolute error = 1.77635683940025e-13 relative error = 1.140991731360672e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.55685338515283 y1[1] (numeric) = 1.556853385152685 absolute error = 1.447730824111204e-13 relative error = 9.299082610589477e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.55199999999983 y2[1] (analytic) = 1.556022496060762 y2[1] (numeric) = 1.556022496060585 absolute error = 1.77635683940025e-13 relative error = 1.141601001204859e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.556022496060762 y1[1] (numeric) = 1.556022496060618 absolute error = 1.447730824111204e-13 relative error = 9.304048159819602e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.55299999999983 y2[1] (analytic) = 1.555191050946246 y2[1] (numeric) = 1.555191050946068 absolute error = 1.780797731498751e-13 relative error = 1.145066858772905e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.555191050946246 y1[1] (numeric) = 1.555191050946101 absolute error = 1.449951270160454e-13 relative error = 9.32329998477191e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.55399999999983 y2[1] (analytic) = 1.554359050640725 y2[1] (numeric) = 1.554359050640546 absolute error = 1.783018177548001e-13 relative error = 1.147108306033294e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.554359050640725 y1[1] (numeric) = 1.554359050640579 absolute error = 1.452171716209705e-13 relative error = 9.342575742786732e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.55499999999983 y2[1] (analytic) = 1.553526495976199 y2[1] (numeric) = 1.55352649597602 absolute error = 1.783018177548001e-13 relative error = 1.147723056005939e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.553526495976199 y1[1] (numeric) = 1.553526495976053 absolute error = 1.452171716209705e-13 relative error = 9.347582548292459e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.55599999999983 y2[1] (analytic) = 1.552693387785223 y2[1] (numeric) = 1.552693387785044 absolute error = 1.787459069646502e-13 relative error = 1.151198996342833e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.552693387785223 y1[1] (numeric) = 1.552693387785077 absolute error = 1.454392162258955e-13 relative error = 9.366898665895101e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.556999999999829 y2[1] (analytic) = 1.551859726900906 y2[1] (numeric) = 1.551859726900727 absolute error = 1.789679515695752e-13 relative error = 1.153248250903307e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.551859726900906 y1[1] (numeric) = 1.55185972690076 absolute error = 1.456612608308205e-13 relative error = 9.386238865912769e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.557999999999829 y2[1] (analytic) = 1.551025514156907 y2[1] (numeric) = 1.551025514156728 absolute error = 1.791899961745003e-13 relative error = 1.155300119430355e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.551025514156907 y1[1] (numeric) = 1.551025514156761 absolute error = 1.456612608308205e-13 relative error = 9.391287216187273e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.558999999999829 y2[1] (analytic) = 1.550190750387441 y2[1] (numeric) = 1.550190750387261 absolute error = 1.794120407794253e-13 relative error = 1.157354607712533e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.550190750387441 y1[1] (numeric) = 1.550190750387295 absolute error = 1.458833054357456e-13 relative error = 9.410668035484332e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.559999999999829 y2[1] (analytic) = 1.549355436427269 y2[1] (numeric) = 1.54935543642709 absolute error = 1.796340853843503e-13 relative error = 1.159411721551621e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.549355436427269 y1[1] (numeric) = 1.549355436427123 absolute error = 1.461053500406706e-13 relative error = 9.430073087527398e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.560999999999829 y2[1] (analytic) = 1.548519573111708 y2[1] (numeric) = 1.548519573111528 absolute error = 1.800781745942004e-13 relative error = 1.162905382153732e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.548519573111708 y1[1] (numeric) = 1.548519573111562 absolute error = 1.463273946455956e-13 relative error = 9.449502427118485e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.561999999999829 y2[1] (analytic) = 1.547683161276619 y2[1] (numeric) = 1.547683161276438 absolute error = 1.803002191991254e-13 relative error = 1.164968539493596e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.547683161276619 y1[1] (numeric) = 1.547683161276472 absolute error = 1.465494392505207e-13 relative error = 9.468956109184402e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.562999999999829 y2[1] (analytic) = 1.546846201758414 y2[1] (numeric) = 1.546846201758233 absolute error = 1.803002191991254e-13 relative error = 1.165598874627386e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.546846201758414 y1[1] (numeric) = 1.546846201758267 absolute error = 1.465494392505207e-13 relative error = 9.474079522833437e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.563999999999829 y2[1] (analytic) = 1.546008695394053 y2[1] (numeric) = 1.546008695393872 absolute error = 1.807443084089755e-13 relative error = 1.169102793195524e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.546008695394053 y1[1] (numeric) = 1.546008695393906 absolute error = 1.467714838554457e-13 relative error = 9.493574278897312e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.564999999999829 y2[1] (analytic) = 1.545170643021042 y2[1] (numeric) = 1.545170643020861 absolute error = 1.809663530139005e-13 relative error = 1.171173901285647e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.545170643021042 y1[1] (numeric) = 1.545170643020895 absolute error = 1.469935284603707e-13 relative error = 9.513093529461327e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.565999999999828 y2[1] (analytic) = 1.544332045477433 y2[1] (numeric) = 1.544332045477252 absolute error = 1.811883976188255e-13 relative error = 1.173247671376338e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.544332045477433 y1[1] (numeric) = 1.544332045477286 absolute error = 1.472155730652958e-13 relative error = 9.532637329932746e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.566999999999828 y2[1] (analytic) = 1.543492903601825 y2[1] (numeric) = 1.543492903601643 absolute error = 1.814104422237506e-13 relative error = 1.17532410936532e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.543492903601825 y1[1] (numeric) = 1.543492903601677 absolute error = 1.474376176702208e-13 relative error = 9.552205735845438e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.567999999999828 y2[1] (analytic) = 1.542653218233358 y2[1] (numeric) = 1.542653218233176 absolute error = 1.818545314336006e-13 relative error = 1.178842589404895e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.542653218233358 y1[1] (numeric) = 1.54265321823321 absolute error = 1.478817068800709e-13 relative error = 9.586192485270574e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.568999999999828 y2[1] (analytic) = 1.541812990211718 y2[1] (numeric) = 1.541812990211536 absolute error = 1.820765760385257e-13 relative error = 1.180925165337486e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.541812990211718 y1[1] (numeric) = 1.54181299021157 absolute error = 1.481037514849959e-13 relative error = 9.605818113171989e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.569999999999828 y2[1] (analytic) = 1.540972220377133 y2[1] (numeric) = 1.540972220376951 absolute error = 1.822986206434507e-13 relative error = 1.183010428305031e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.540972220377133 y1[1] (numeric) = 1.540972220376985 absolute error = 1.483257960899209e-13 relative error = 9.625468527500131e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.570999999999828 y2[1] (analytic) = 1.540130909570373 y2[1] (numeric) = 1.54013090957019 absolute error = 1.822986206434507e-13 relative error = 1.183656658733665e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.540130909570373 y1[1] (numeric) = 1.540130909570224 absolute error = 1.483257960899209e-13 relative error = 9.630726529038829e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.571999999999828 y2[1] (analytic) = 1.539289058632748 y2[1] (numeric) = 1.539289058632565 absolute error = 1.827427098533008e-13 relative error = 1.187189039176433e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.539289058632748 y1[1] (numeric) = 1.5392890586326 absolute error = 1.485478406948459e-13 relative error = 9.650418799623736e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.572999999999828 y2[1] (analytic) = 1.53844666840611 y2[1] (numeric) = 1.538446668405927 absolute error = 1.829647544582258e-13 relative error = 1.189282399030344e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.53844666840611 y1[1] (numeric) = 1.538446668405961 absolute error = 1.48769885299771e-13 relative error = 9.670136011533137e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.573999999999828 y2[1] (analytic) = 1.537603739732847 y2[1] (numeric) = 1.537603739732664 absolute error = 1.831867990631508e-13 relative error = 1.191378469819401e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.537603739732847 y1[1] (numeric) = 1.537603739732698 absolute error = 1.48991929904696e-13 relative error = 9.689878221197794e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.574999999999827 y2[1] (analytic) = 1.536760273455891 y2[1] (numeric) = 1.536760273455707 absolute error = 1.834088436680759e-13 relative error = 1.193477257553146e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.536760273455891 y1[1] (numeric) = 1.536760273455741 absolute error = 1.49213974509621e-13 relative error = 9.709645485178135e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.575999999999827 y2[1] (analytic) = 1.535916270418705 y2[1] (numeric) = 1.535916270418521 absolute error = 1.836308882730009e-13 relative error = 1.195578768255e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.535916270418705 y1[1] (numeric) = 1.535916270418555 absolute error = 1.494360191145461e-13 relative error = 9.729437860164633e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.576999999999827 y2[1] (analytic) = 1.535071731465293 y2[1] (numeric) = 1.535071731465109 absolute error = 1.838529328779259e-13 relative error = 1.197683007962307e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.535071731465293 y1[1] (numeric) = 1.535071731465144 absolute error = 1.496580637194711e-13 relative error = 9.749255402978199e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.577999999999827 y2[1] (analytic) = 1.534226657440195 y2[1] (numeric) = 1.534226657440011 absolute error = 1.84074977482851e-13 relative error = 1.199789982726371e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.534226657440195 y1[1] (numeric) = 1.534226657440045 absolute error = 1.498801083243961e-13 relative error = 9.769098170570572e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.578999999999827 y2[1] (analytic) = 1.533381049188484 y2[1] (numeric) = 1.5333810491883 absolute error = 1.84297022087776e-13 relative error = 1.201899698612501e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.533381049188484 y1[1] (numeric) = 1.533381049188334 absolute error = 1.501021529293212e-13 relative error = 9.78896622002471e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.579999999999827 y2[1] (analytic) = 1.532534907555768 y2[1] (numeric) = 1.532534907555583 absolute error = 1.84519066692701e-13 relative error = 1.204012161700053e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.532534907555768 y1[1] (numeric) = 1.532534907555618 absolute error = 1.501021529293212e-13 relative error = 9.794370894214628e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.580999999999827 y2[1] (analytic) = 1.531688233388188 y2[1] (numeric) = 1.531688233388004 absolute error = 1.84741111297626e-13 relative error = 1.206127378082466e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.531688233388188 y1[1] (numeric) = 1.531688233388038 absolute error = 1.503241975342462e-13 relative error = 9.814281670214298e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.581999999999827 y2[1] (analytic) = 1.53084102753242 y2[1] (numeric) = 1.530841027532235 absolute error = 1.849631559025511e-13 relative error = 1.208245353867313e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.53084102753242 y1[1] (numeric) = 1.53084102753227 absolute error = 1.505462421391712e-13 relative error = 9.83421788621895e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.582999999999827 y2[1] (analytic) = 1.529993290835669 y2[1] (numeric) = 1.529993290835483 absolute error = 1.854072451124011e-13 relative error = 1.211817373467915e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.529993290835669 y1[1] (numeric) = 1.529993290835518 absolute error = 1.507682867440963e-13 relative error = 9.854179599816934e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.583999999999826 y2[1] (analytic) = 1.529145024145671 y2[1] (numeric) = 1.529145024145485 absolute error = 1.856292897173262e-13 relative error = 1.21394169150854e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.529145024145671 y1[1] (numeric) = 1.52914502414552 absolute error = 1.509903313490213e-13 relative error = 9.874166868729748e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.584999999999826 y2[1] (analytic) = 1.528296228310692 y2[1] (numeric) = 1.528296228310506 absolute error = 1.858513343222512e-13 relative error = 1.216068788756239e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.528296228310692 y1[1] (numeric) = 1.528296228310541 absolute error = 1.512123759539463e-13 relative error = 9.894179750812411e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.585999999999826 y2[1] (analytic) = 1.52744690417953 y2[1] (numeric) = 1.527446904179343 absolute error = 1.862954235321013e-13 relative error = 1.219652369076424e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.52744690417953 y1[1] (numeric) = 1.527446904179378 absolute error = 1.514344205588714e-13 relative error = 9.914218304053886e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.586999999999826 y2[1] (analytic) = 1.526597052601507 y2[1] (numeric) = 1.52659705260132 absolute error = 1.865174681370263e-13 relative error = 1.221785852521973e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.526597052601507 y1[1] (numeric) = 1.526597052601355 absolute error = 1.514344205588714e-13 relative error = 9.919737516904588e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.587999999999826 y2[1] (analytic) = 1.525746674426475 y2[1] (numeric) = 1.525746674426289 absolute error = 1.867395127419513e-13 relative error = 1.223922135122112e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.525746674426475 y1[1] (numeric) = 1.525746674426324 absolute error = 1.516564651637964e-13 relative error = 9.939819480242596e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.588999999999826 y2[1] (analytic) = 1.524895770504813 y2[1] (numeric) = 1.524895770504626 absolute error = 1.869615573468764e-13 relative error = 1.226061223089255e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.524895770504813 y1[1] (numeric) = 1.524895770504662 absolute error = 1.516564651637964e-13 relative error = 9.945365978265575e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.589999999999826 y2[1] (analytic) = 1.524044341687424 y2[1] (numeric) = 1.524044341687237 absolute error = 1.871836019518014e-13 relative error = 1.228203122650299e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.524044341687424 y1[1] (numeric) = 1.524044341687272 absolute error = 1.518785097687214e-13 relative error = 9.965491528977516e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.590999999999826 y2[1] (analytic) = 1.523192388825737 y2[1] (numeric) = 1.52319238882555 absolute error = 1.874056465567264e-13 relative error = 1.230347840046664e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.523192388825737 y1[1] (numeric) = 1.523192388825585 absolute error = 1.521005543736464e-13 relative error = 9.985643014596739e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.591999999999826 y2[1] (analytic) = 1.522339912771705 y2[1] (numeric) = 1.522339912771518 absolute error = 1.876276911616515e-13 relative error = 1.232495381534338e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.522339912771705 y1[1] (numeric) = 1.522339912771553 absolute error = 1.523225989785715e-13 relative error = 1.00058204938764e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.592999999999825 y2[1] (analytic) = 1.521486914377804 y2[1] (numeric) = 1.521486914377616 absolute error = 1.878497357665765e-13 relative error = 1.234645753383924e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.521486914377804 y1[1] (numeric) = 1.521486914377651 absolute error = 1.525446435834965e-13 relative error = 1.002602402570633e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.593999999999825 y2[1] (analytic) = 1.520633394497032 y2[1] (numeric) = 1.520633394496844 absolute error = 1.880717803715015e-13 relative error = 1.236798961880675e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.520633394497032 y1[1] (numeric) = 1.520633394496879 absolute error = 1.525446435834965e-13 relative error = 1.003165155622224e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.594999999999825 y2[1] (analytic) = 1.519779353982908 y2[1] (numeric) = 1.51977935398272 absolute error = 1.885158695813516e-13 relative error = 1.240416045179883e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.519779353982908 y1[1] (numeric) = 1.519779353982756 absolute error = 1.527666881884215e-13 relative error = 1.005189916470859e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.595999999999825 y2[1] (analytic) = 1.518924793689474 y2[1] (numeric) = 1.518924793689286 absolute error = 1.887379141862766e-13 relative error = 1.242575767874797e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.518924793689474 y1[1] (numeric) = 1.518924793689321 absolute error = 1.529887327933466e-13 relative error = 1.007217298900865e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.596999999999825 y2[1] (analytic) = 1.51806971447129 y2[1] (numeric) = 1.518069714471101 absolute error = 1.889599587912016e-13 relative error = 1.244738347586443e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.51806971447129 y1[1] (numeric) = 1.518069714471137 absolute error = 1.532107773982716e-13 relative error = 1.009247308853873e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.597999999999825 y2[1] (analytic) = 1.517214117183434 y2[1] (numeric) = 1.517214117183245 absolute error = 1.891820033961267e-13 relative error = 1.246903790661567e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.517214117183434 y1[1] (numeric) = 1.517214117183281 absolute error = 1.532107773982716e-13 relative error = 1.009816450183663e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.598999999999825 y2[1] (analytic) = 1.516358002681504 y2[1] (numeric) = 1.516358002681315 absolute error = 1.894040480010517e-13 relative error = 1.249072103461798e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.516358002681504 y1[1] (numeric) = 1.516358002681351 absolute error = 1.534328220031966e-13 relative error = 1.011850906790273e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.599999999999825 y2[1] (analytic) = 1.515501371821614 y2[1] (numeric) = 1.515501371821425 absolute error = 1.896260926059767e-13 relative error = 1.251243292363691e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.515501371821614 y1[1] (numeric) = 1.515501371821461 absolute error = 1.534328220031966e-13 relative error = 1.012422851315352e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.600999999999825 y2[1] (analytic) = 1.514644225460396 y2[1] (numeric) = 1.514644225460206 absolute error = 1.898481372109018e-13 relative error = 1.253417363758773e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.514644225460396 y1[1] (numeric) = 1.514644225460242 absolute error = 1.536548666081217e-13 relative error = 1.014461772773182e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.601999999999824 y2[1] (analytic) = 1.513786564454995 y2[1] (numeric) = 1.513786564454805 absolute error = 1.900701818158268e-13 relative error = 1.255594324053585e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.513786564454995 y1[1] (numeric) = 1.513786564454841 absolute error = 1.538769112130467e-13 relative error = 1.016503348795718e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.602999999999824 y2[1] (analytic) = 1.512928389663073 y2[1] (numeric) = 1.512928389662882 absolute error = 1.905142710256769e-13 relative error = 1.259241827487315e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.512928389663073 y1[1] (numeric) = 1.512928389662918 absolute error = 1.540989558179717e-13 relative error = 1.018547585403493e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.603999999999824 y2[1] (analytic) = 1.512069701942803 y2[1] (numeric) = 1.512069701942612 absolute error = 1.907363156306019e-13 relative error = 1.261425418322527e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.512069701942803 y1[1] (numeric) = 1.512069701942649 absolute error = 1.540989558179717e-13 relative error = 1.019126007352542e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.604999999999824 y2[1] (analytic) = 1.511210502152874 y2[1] (numeric) = 1.511210502152683 absolute error = 1.909583602355269e-13 relative error = 1.263611918812682e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.511210502152874 y1[1] (numeric) = 1.51121050215272 absolute error = 1.543210004228968e-13 relative error = 1.021174748342807e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.605999999999824 y2[1] (analytic) = 1.510350791152486 y2[1] (numeric) = 1.510350791152295 absolute error = 1.91180404840452e-13 relative error = 1.265801335427316e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.510350791152486 y1[1] (numeric) = 1.510350791152331 absolute error = 1.545430450278218e-13 relative error = 1.023226166617203e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.606999999999824 y2[1] (analytic) = 1.509490569801349 y2[1] (numeric) = 1.509490569801157 absolute error = 1.91402449445377e-13 relative error = 1.267993674651216e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.509490569801349 y1[1] (numeric) = 1.509490569801194 absolute error = 1.545430450278218e-13 relative error = 1.023809277908638e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.607999999999824 y2[1] (analytic) = 1.508629838959684 y2[1] (numeric) = 1.508629838959493 absolute error = 1.91624494050302e-13 relative error = 1.270188942984462e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.508629838959684 y1[1] (numeric) = 1.50862983895953 absolute error = 1.547650896327468e-13 relative error = 1.025865229733685e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.608999999999824 y2[1] (analytic) = 1.507768599488224 y2[1] (numeric) = 1.507768599488032 absolute error = 1.918465386552271e-13 relative error = 1.272387146942474e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.507768599488224 y1[1] (numeric) = 1.507768599488069 absolute error = 1.549871342376719e-13 relative error = 1.027923875654915e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.609999999999824 y2[1] (analytic) = 1.506906852248205 y2[1] (numeric) = 1.506906852248013 absolute error = 1.920685832601521e-13 relative error = 1.27458829305606e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.506906852248205 y1[1] (numeric) = 1.50690685224805 absolute error = 1.552091788425969e-13 relative error = 1.029985221787498e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.610999999999823 y2[1] (analytic) = 1.506044598101377 y2[1] (numeric) = 1.506044598101185 absolute error = 1.925126724700021e-13 relative error = 1.278266743977547e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.506044598101377 y1[1] (numeric) = 1.506044598101222 absolute error = 1.554312234475219e-13 relative error = 1.032049274260995e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.611999999999823 y2[1] (analytic) = 1.505181837909993 y2[1] (numeric) = 1.505181837909801 absolute error = 1.925126724700021e-13 relative error = 1.278999437950393e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.505181837909993 y1[1] (numeric) = 1.505181837909838 absolute error = 1.554312234475219e-13 relative error = 1.032640838022232e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.612999999999823 y2[1] (analytic) = 1.504318572536814 y2[1] (numeric) = 1.504318572536621 absolute error = 1.929567616798522e-13 relative error = 1.282685497623411e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.504318572536814 y1[1] (numeric) = 1.504318572536658 absolute error = 1.556532680524469e-13 relative error = 1.034709475067907e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.613999999999823 y2[1] (analytic) = 1.503454802845103 y2[1] (numeric) = 1.50345480284491 absolute error = 1.931788062847772e-13 relative error = 1.284899326000423e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.503454802845103 y1[1] (numeric) = 1.503454802844947 absolute error = 1.556532680524469e-13 relative error = 1.035303939685399e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.614999999999823 y2[1] (analytic) = 1.502590529698632 y2[1] (numeric) = 1.502590529698439 absolute error = 1.934008508897023e-13 relative error = 1.287116130889577e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.502590529698632 y1[1] (numeric) = 1.502590529698476 absolute error = 1.55875312657372e-13 relative error = 1.037377180119957e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.615999999999823 y2[1] (analytic) = 1.501725753961673 y2[1] (numeric) = 1.501725753961479 absolute error = 1.936228954946273e-13 relative error = 1.289335918917516e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.501725753961673 y1[1] (numeric) = 1.501725753961517 absolute error = 1.56097357262297e-13 relative error = 1.039453154815383e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.616999999999823 y2[1] (analytic) = 1.500860476499002 y2[1] (numeric) = 1.500860476498808 absolute error = 1.938449400995523e-13 relative error = 1.291558696726606e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.500860476499002 y1[1] (numeric) = 1.500860476498845 absolute error = 1.56319401867222e-13 relative error = 1.041531869983426e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.617999999999823 y2[1] (analytic) = 1.499994698175896 y2[1] (numeric) = 1.499994698175702 absolute error = 1.942890293094024e-13 relative error = 1.295264773573348e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.499994698175896 y1[1] (numeric) = 1.499994698175739 absolute error = 1.565414464721471e-13 relative error = 1.043613331850526e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.618999999999823 y2[1] (analytic) = 1.499128419858133 y2[1] (numeric) = 1.499128419857939 absolute error = 1.945110739143274e-13 relative error = 1.297494406334679e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.499128419858133 y1[1] (numeric) = 1.499128419857977 absolute error = 1.567634910770721e-13 relative error = 1.045697546657858e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.619999999999822 y2[1] (analytic) = 1.498261642411993 y2[1] (numeric) = 1.498261642411798 absolute error = 1.947331185192525e-13 relative error = 1.29972705038193e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.498261642411993 y1[1] (numeric) = 1.498261642411836 absolute error = 1.567634910770721e-13 relative error = 1.046302505780664e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.620999999999822 y2[1] (analytic) = 1.497394366704251 y2[1] (numeric) = 1.497394366704056 absolute error = 1.951772077291025e-13 relative error = 1.303445585672166e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.497394366704251 y1[1] (numeric) = 1.497394366704094 absolute error = 1.569855356819971e-13 relative error = 1.048391386883074e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.621999999999822 y2[1] (analytic) = 1.496526593602184 y2[1] (numeric) = 1.496526593601989 absolute error = 1.953992523340276e-13 relative error = 1.305685132288199e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.496526593602184 y1[1] (numeric) = 1.496526593602027 absolute error = 1.569855356819971e-13 relative error = 1.048999305145178e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.622999999999822 y2[1] (analytic) = 1.495658323973565 y2[1] (numeric) = 1.495658323973369 absolute error = 1.956212969389526e-13 relative error = 1.307927711853594e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.495658323973565 y1[1] (numeric) = 1.495658323973408 absolute error = 1.572075802869222e-13 relative error = 1.051092871727973e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.623999999999822 y2[1] (analytic) = 1.494789558686663 y2[1] (numeric) = 1.494789558686467 absolute error = 1.958433415438776e-13 relative error = 1.310173331127276e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.494789558686663 y1[1] (numeric) = 1.494789558686506 absolute error = 1.574296248918472e-13 relative error = 1.053189219693014e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.624999999999822 y2[1] (analytic) = 1.493920298610244 y2[1] (numeric) = 1.493920298610048 absolute error = 1.960653861488026e-13 relative error = 1.312421996884287e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.493920298610244 y1[1] (numeric) = 1.493920298610087 absolute error = 1.574296248918472e-13 relative error = 1.053802033738346e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.625999999999822 y2[1] (analytic) = 1.493050544613567 y2[1] (numeric) = 1.493050544613371 absolute error = 1.962874307537277e-13 relative error = 1.314673715915833e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.493050544613567 y1[1] (numeric) = 1.49305054461341 absolute error = 1.576516694967722e-13 relative error = 1.055903097624708e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.626999999999822 y2[1] (analytic) = 1.492180297566387 y2[1] (numeric) = 1.492180297566191 absolute error = 1.965094753586527e-13 relative error = 1.316928495029335e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.492180297566387 y1[1] (numeric) = 1.492180297566229 absolute error = 1.578737141016973e-13 relative error = 1.058006960413398e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.627999999999822 y2[1] (analytic) = 1.49130955833895 y2[1] (numeric) = 1.491309558338754 absolute error = 1.967315199635777e-13 relative error = 1.319186341048475e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.49130955833895 y1[1] (numeric) = 1.491309558338792 absolute error = 1.580957587066223e-13 relative error = 1.060113628472364e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.628999999999821 y2[1] (analytic) = 1.490438327801996 y2[1] (numeric) = 1.490438327801799 absolute error = 1.971756091734278e-13 relative error = 1.322937054793873e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.490438327801996 y1[1] (numeric) = 1.490438327801838 absolute error = 1.583178033115473e-13 relative error = 1.06222310818472e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.629999999999821 y2[1] (analytic) = 1.489566606826755 y2[1] (numeric) = 1.489566606826558 absolute error = 1.973976537783528e-13 relative error = 1.325201927014676e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.489566606826755 y1[1] (numeric) = 1.489566606826597 absolute error = 1.585398479164724e-13 relative error = 1.064335405948795e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.630999999999821 y2[1] (analytic) = 1.488694396284948 y2[1] (numeric) = 1.488694396284751 absolute error = 1.976196983832779e-13 relative error = 1.327469888221786e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.488694396284948 y1[1] (numeric) = 1.488694396284789 absolute error = 1.587618925213974e-13 relative error = 1.066450528178176e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.631999999999821 y2[1] (analytic) = 1.487821697048785 y2[1] (numeric) = 1.487821697048588 absolute error = 1.978417429882029e-13 relative error = 1.329740945307075e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.487821697048785 y1[1] (numeric) = 1.487821697048626 absolute error = 1.589839371263224e-13 relative error = 1.068568481301757e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.632999999999821 y2[1] (analytic) = 1.486948509990966 y2[1] (numeric) = 1.486948509990768 absolute error = 1.980637875931279e-13 relative error = 1.332015105178936e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.486948509990966 y1[1] (numeric) = 1.486948509990807 absolute error = 1.589839371263224e-13 relative error = 1.069195981287128e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.633999999999821 y2[1] (analytic) = 1.486074835984678 y2[1] (numeric) = 1.48607483598448 absolute error = 1.98285832198053e-13 relative error = 1.334292374762326e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.486074835984678 y1[1] (numeric) = 1.486074835984519 absolute error = 1.592059817312474e-13 relative error = 1.071318737631117e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.634999999999821 y2[1] (analytic) = 1.485200675903594 y2[1] (numeric) = 1.485200675903395 absolute error = 1.98507876802978e-13 relative error = 1.33657276099882e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.485200675903594 y1[1] (numeric) = 1.485200675903434 absolute error = 1.594280263361725e-13 relative error = 1.073444342726122e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.635999999999821 y2[1] (analytic) = 1.484326030621874 y2[1] (numeric) = 1.484326030621676 absolute error = 1.98729921407903e-13 relative error = 1.338856270846661e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.484326030621874 y1[1] (numeric) = 1.484326030621715 absolute error = 1.596500709410975e-13 relative error = 1.075572803060055e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.636999999999821 y2[1] (analytic) = 1.483450901014165 y2[1] (numeric) = 1.483450901013966 absolute error = 1.989519660128281e-13 relative error = 1.341142911280812e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.483450901014165 y1[1] (numeric) = 1.483450901014005 absolute error = 1.598721155460225e-13 relative error = 1.077704125136367e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.63799999999982 y2[1] (analytic) = 1.482575287955594 y2[1] (numeric) = 1.482575287955395 absolute error = 1.993960552226781e-13 relative error = 1.344930384598791e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.482575287955594 y1[1] (numeric) = 1.482575287955434 absolute error = 1.600941601509476e-13 relative error = 1.079838315474085e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.63899999999982 y2[1] (analytic) = 1.481699192321776 y2[1] (numeric) = 1.481699192321577 absolute error = 1.993960552226781e-13 relative error = 1.345725611891782e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.481699192321776 y1[1] (numeric) = 1.481699192321616 absolute error = 1.600941601509476e-13 relative error = 1.080476799748301e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.63999999999982 y2[1] (analytic) = 1.480822614988806 y2[1] (numeric) = 1.480822614988606 absolute error = 1.998401444325282e-13 relative error = 1.349521154051519e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.480822614988806 y1[1] (numeric) = 1.480822614988646 absolute error = 1.603162047558726e-13 relative error = 1.082615859139108e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64099999999982 y2[1] (analytic) = 1.479945556833261 y2[1] (numeric) = 1.479945556833061 absolute error = 2.000621890374532e-13 relative error = 1.35182127554435e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.479945556833261 y1[1] (numeric) = 1.4799455568331 absolute error = 1.605382493607976e-13 relative error = 1.084757804904068e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64199999999982 y2[1] (analytic) = 1.479068018732199 y2[1] (numeric) = 1.479068018731998 absolute error = 2.002842336423782e-13 relative error = 1.354124564291873e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.479068018732199 y1[1] (numeric) = 1.479068018732038 absolute error = 1.605382493607976e-13 relative error = 1.085401396876967e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64299999999982 y2[1] (analytic) = 1.478190001563158 y2[1] (numeric) = 1.478190001562957 absolute error = 2.007283228522283e-13 relative error = 1.357933165830928e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.478190001563158 y1[1] (numeric) = 1.478190001562997 absolute error = 1.607602939657227e-13 relative error = 1.087548243430964e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64399999999982 y2[1] (analytic) = 1.477311506204155 y2[1] (numeric) = 1.477311506203954 absolute error = 2.009503674571533e-13 relative error = 1.360243703601015e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.477311506204155 y1[1] (numeric) = 1.477311506203994 absolute error = 1.609823385706477e-13 relative error = 1.089697994597498e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64499999999982 y2[1] (analytic) = 1.476432533533686 y2[1] (numeric) = 1.476432533533485 absolute error = 2.011724120620784e-13 relative error = 1.362557431463484e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.476432533533686 y1[1] (numeric) = 1.476432533533525 absolute error = 1.612043831755727e-13 relative error = 1.09185065700054e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64599999999982 y2[1] (analytic) = 1.475553084430723 y2[1] (numeric) = 1.475553084430522 absolute error = 2.013944566670034e-13 relative error = 1.364874356551547e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.475553084430723 y1[1] (numeric) = 1.475553084430562 absolute error = 1.614264277804978e-13 relative error = 1.094006237280016e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.646999999999819 y2[1] (analytic) = 1.474673159774716 y2[1] (numeric) = 1.474673159774514 absolute error = 2.016165012719284e-13 relative error = 1.367194486015662e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.474673159774716 y1[1] (numeric) = 1.474673159774554 absolute error = 1.616484723854228e-13 relative error = 1.096164742091852e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.647999999999819 y2[1] (analytic) = 1.473792760445588 y2[1] (numeric) = 1.473792760445386 absolute error = 2.018385458768535e-13 relative error = 1.369517827023587e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.473792760445588 y1[1] (numeric) = 1.473792760445426 absolute error = 1.616484723854228e-13 relative error = 1.096819557836272e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.648999999999819 y2[1] (analytic) = 1.472911887323739 y2[1] (numeric) = 1.472911887323537 absolute error = 2.020605904817785e-13 relative error = 1.371844386760432e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.472911887323739 y1[1] (numeric) = 1.472911887323577 absolute error = 1.618705169903478e-13 relative error = 1.098983030712478e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.649999999999819 y2[1] (analytic) = 1.472030541290042 y2[1] (numeric) = 1.47203054128984 absolute error = 2.022826350867035e-13 relative error = 1.374174172428714e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.472030541290042 y1[1] (numeric) = 1.47203054128988 absolute error = 1.620925615952729e-13 relative error = 1.10114944662235e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.650999999999819 y2[1] (analytic) = 1.471148723225843 y2[1] (numeric) = 1.471148723225641 absolute error = 2.025046796916286e-13 relative error = 1.376507191248407e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.471148723225843 y1[1] (numeric) = 1.471148723225681 absolute error = 1.623146062001979e-13 relative error = 1.103318812283537e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.651999999999819 y2[1] (analytic) = 1.470266434012961 y2[1] (numeric) = 1.470266434012758 absolute error = 2.027267242965536e-13 relative error = 1.378843450456998e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.470266434012961 y1[1] (numeric) = 1.470266434012798 absolute error = 1.623146062001979e-13 relative error = 1.103980900639721e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.652999999999819 y2[1] (analytic) = 1.469383674533683 y2[1] (numeric) = 1.46938367453348 absolute error = 2.029487689014786e-13 relative error = 1.381182957309537e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.469383674533683 y1[1] (numeric) = 1.46938367453352 absolute error = 1.625366508051229e-13 relative error = 1.106155278720548e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.653999999999819 y2[1] (analytic) = 1.46850044567077 y2[1] (numeric) = 1.468500445670567 absolute error = 2.033928581113287e-13 relative error = 1.385037769044901e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.46850044567077 y1[1] (numeric) = 1.468500445670607 absolute error = 1.627586954100479e-13 relative error = 1.108332625229162e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.654999999999819 y2[1] (analytic) = 1.46761674830745 y2[1] (numeric) = 1.467616748307247 absolute error = 2.033928581113287e-13 relative error = 1.385871743054815e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.46761674830745 y1[1] (numeric) = 1.467616748307288 absolute error = 1.627586954100479e-13 relative error = 1.108999986527489e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.655999999999819 y2[1] (analytic) = 1.466732583327422 y2[1] (numeric) = 1.466732583327218 absolute error = 2.036149027162537e-13 relative error = 1.388221036545967e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.466732583327422 y1[1] (numeric) = 1.466732583327259 absolute error = 1.62980740014973e-13 relative error = 1.111182378216728e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.656999999999818 y2[1] (analytic) = 1.465847951614848 y2[1] (numeric) = 1.465847951614645 absolute error = 2.038369473211787e-13 relative error = 1.390573606878e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.465847951614848 y1[1] (numeric) = 1.465847951614685 absolute error = 1.63202784619898e-13 relative error = 1.113367757140882e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.657999999999818 y2[1] (analytic) = 1.464962854054362 y2[1] (numeric) = 1.464962854054158 absolute error = 2.040589919261038e-13 relative error = 1.392929461394599e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.464962854054362 y1[1] (numeric) = 1.464962854054199 absolute error = 1.63424829224823e-13 relative error = 1.115556130126687e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.658999999999818 y2[1] (analytic) = 1.464077291531061 y2[1] (numeric) = 1.464077291530856 absolute error = 2.045030811359538e-13 relative error = 1.396805225508924e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.464077291531061 y1[1] (numeric) = 1.464077291530897 absolute error = 1.636468738297481e-13 relative error = 1.117747504017456e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.659999999999818 y2[1] (analytic) = 1.463191264930507 y2[1] (numeric) = 1.463191264930302 absolute error = 2.047251257408789e-13 relative error = 1.399168588876193e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.463191264930507 y1[1] (numeric) = 1.463191264930343 absolute error = 1.636468738297481e-13 relative error = 1.118424349242684e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.660999999999818 y2[1] (analytic) = 1.462304775138726 y2[1] (numeric) = 1.462304775138521 absolute error = 2.049471703458039e-13 relative error = 1.40153526016053e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.462304775138726 y1[1] (numeric) = 1.462304775138562 absolute error = 1.638689184346731e-13 relative error = 1.120620825567141e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.661999999999818 y2[1] (analytic) = 1.461417823042209 y2[1] (numeric) = 1.461417823042003 absolute error = 2.051692149507289e-13 relative error = 1.403905246780361e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.461417823042209 y1[1] (numeric) = 1.461417823042045 absolute error = 1.638689184346731e-13 relative error = 1.121300943857041e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.662999999999818 y2[1] (analytic) = 1.460530409527907 y2[1] (numeric) = 1.460530409527701 absolute error = 2.05391259555654e-13 relative error = 1.406278556172229e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.460530409527907 y1[1] (numeric) = 1.460530409527743 absolute error = 1.640909630395981e-13 relative error = 1.123502543795976e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.663999999999818 y2[1] (analytic) = 1.459642535483234 y2[1] (numeric) = 1.459642535483028 absolute error = 2.05613304160579e-13 relative error = 1.408655195790852e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.459642535483234 y1[1] (numeric) = 1.45964253548307 absolute error = 1.643130076445232e-13 relative error = 1.125707175901976e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.664999999999818 y2[1] (analytic) = 1.458754201796064 y2[1] (numeric) = 1.458754201795858 absolute error = 2.05835348765504e-13 relative error = 1.411035173109172e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.458754201796064 y1[1] (numeric) = 1.458754201795899 absolute error = 1.645350522494482e-13 relative error = 1.127914847113157e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.665999999999817 y2[1] (analytic) = 1.45786540935473 y2[1] (numeric) = 1.457865409354524 absolute error = 2.060573933704291e-13 relative error = 1.413418495618417e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.45786540935473 y1[1] (numeric) = 1.457865409354565 absolute error = 1.647570968543732e-13 relative error = 1.130125564384553e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.666999999999817 y2[1] (analytic) = 1.456976159048025 y2[1] (numeric) = 1.456976159047819 absolute error = 2.060573933704291e-13 relative error = 1.414281160956436e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.456976159048025 y1[1] (numeric) = 1.45697615904786 absolute error = 1.647570968543732e-13 relative error = 1.130815324816461e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.667999999999817 y2[1] (analytic) = 1.456086451765199 y2[1] (numeric) = 1.456086451764993 absolute error = 2.065014825802791e-13 relative error = 1.418195206266355e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.456086451765199 y1[1] (numeric) = 1.456086451765034 absolute error = 1.649791414592983e-13 relative error = 1.133031223931077e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.668999999999817 y2[1] (analytic) = 1.455196288395959 y2[1] (numeric) = 1.455196288395753 absolute error = 2.067235271852041e-13 relative error = 1.420588609479428e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.455196288395959 y1[1] (numeric) = 1.455196288395795 absolute error = 1.649791414592983e-13 relative error = 1.133724314546955e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.669999999999817 y2[1] (analytic) = 1.454305669830469 y2[1] (numeric) = 1.454305669830262 absolute error = 2.071676163950542e-13 relative error = 1.424512196388563e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.454305669830469 y1[1] (numeric) = 1.454305669830304 absolute error = 1.652011860642233e-13 relative error = 1.135945417055831e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.670999999999817 y2[1] (analytic) = 1.453414596959347 y2[1] (numeric) = 1.45341459695914 absolute error = 2.071676163950542e-13 relative error = 1.425385549508478e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.453414596959347 y1[1] (numeric) = 1.453414596959182 absolute error = 1.652011860642233e-13 relative error = 1.136641852984253e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.671999999999817 y2[1] (analytic) = 1.452523070673666 y2[1] (numeric) = 1.452523070673459 absolute error = 2.073896609999792e-13 relative error = 1.427789101510064e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.452523070673666 y1[1] (numeric) = 1.452523070673501 absolute error = 1.654232306691483e-13 relative error = 1.138868180540682e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.672999999999817 y2[1] (analytic) = 1.451631091864952 y2[1] (numeric) = 1.451631091864744 absolute error = 2.078337502098293e-13 relative error = 1.431725673103483e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.451631091864952 y1[1] (numeric) = 1.451631091864786 absolute error = 1.658673198789984e-13 relative error = 1.142627219880665e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.673999999999817 y2[1] (analytic) = 1.450738661425183 y2[1] (numeric) = 1.450738661424976 absolute error = 2.078337502098293e-13 relative error = 1.432606407591403e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.450738661425183 y1[1] (numeric) = 1.450738661425018 absolute error = 1.658673198789984e-13 relative error = 1.143330113750831e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.674999999999816 y2[1] (analytic) = 1.449845780246791 y2[1] (numeric) = 1.449845780246583 absolute error = 2.082778394196794e-13 relative error = 1.436551681960453e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.449845780246791 y1[1] (numeric) = 1.449845780246625 absolute error = 1.663114090888484e-13 relative error = 1.147097238580362e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.675999999999816 y2[1] (analytic) = 1.448952449222656 y2[1] (numeric) = 1.448952449222448 absolute error = 2.082778394196794e-13 relative error = 1.437437367467909e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.448952449222656 y1[1] (numeric) = 1.44895244922249 absolute error = 1.663114090888484e-13 relative error = 1.147804465067659e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.676999999999816 y2[1] (analytic) = 1.448058669246109 y2[1] (numeric) = 1.448058669245901 absolute error = 2.087219286295294e-13 relative error = 1.441391381871251e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.448058669246109 y1[1] (numeric) = 1.448058669245943 absolute error = 1.667554982986985e-13 relative error = 1.151579710409904e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.677999999999816 y2[1] (analytic) = 1.44716444121093 y2[1] (numeric) = 1.447164441210721 absolute error = 2.089439732344545e-13 relative error = 1.443816385231372e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.44716444121093 y1[1] (numeric) = 1.447164441210764 absolute error = 1.667554982986985e-13 relative error = 1.152291291507716e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.678999999999816 y2[1] (analytic) = 1.446269766011348 y2[1] (numeric) = 1.446269766011138 absolute error = 2.093880624443045e-13 relative error = 1.447780126260771e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.446269766011348 y1[1] (numeric) = 1.446269766011181 absolute error = 1.669775429036235e-13 relative error = 1.154539400793319e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.679999999999816 y2[1] (analytic) = 1.445374644542036 y2[1] (numeric) = 1.445374644541827 absolute error = 2.096101070492296e-13 relative error = 1.450212980010066e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.445374644542036 y1[1] (numeric) = 1.445374644541869 absolute error = 1.671995875085486e-13 relative error = 1.156790650368198e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.680999999999816 y2[1] (analytic) = 1.444479077698117 y2[1] (numeric) = 1.444479077697907 absolute error = 2.098321516541546e-13 relative error = 1.452649296856119e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.444479077698117 y1[1] (numeric) = 1.44447907769795 absolute error = 1.674216321134736e-13 relative error = 1.159045047438639e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.681999999999816 y2[1] (analytic) = 1.443583066375157 y2[1] (numeric) = 1.443583066374947 absolute error = 2.100541962590796e-13 relative error = 1.455089084596472e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.443583066375157 y1[1] (numeric) = 1.44358306637499 absolute error = 1.676436767183986e-13 relative error = 1.161302599228686e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.682999999999816 y2[1] (analytic) = 1.442686611469169 y2[1] (numeric) = 1.442686611468958 absolute error = 2.104982854689297e-13 relative error = 1.459071455959292e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.442686611469169 y1[1] (numeric) = 1.442686611469 absolute error = 1.680877659282487e-13 relative error = 1.165102417891544e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.683999999999815 y2[1] (analytic) = 1.441789713876605 y2[1] (numeric) = 1.441789713876394 absolute error = 2.107203300738547e-13 relative error = 1.461519166392729e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.441789713876605 y1[1] (numeric) = 1.441789713876437 absolute error = 1.683098105331737e-13 relative error = 1.167367258298934e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.684999999999815 y2[1] (analytic) = 1.440892374494364 y2[1] (numeric) = 1.440892374494153 absolute error = 2.109423746787797e-13 relative error = 1.463970372893418e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.440892374494364 y1[1] (numeric) = 1.440892374494196 absolute error = 1.685318551380988e-13 relative error = 1.169635276869584e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.685999999999815 y2[1] (analytic) = 1.439994594219786 y2[1] (numeric) = 1.439994594219575 absolute error = 2.111644192837048e-13 relative error = 1.466425083339409e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.439994594219786 y1[1] (numeric) = 1.439994594219617 absolute error = 1.687538997430238e-13 relative error = 1.171906480902156e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.686999999999815 y2[1] (analytic) = 1.43909637395065 y2[1] (numeric) = 1.439096373950438 absolute error = 2.113864638886298e-13 relative error = 1.468883305628278e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.43909637395065 y1[1] (numeric) = 1.439096373950481 absolute error = 1.687538997430238e-13 relative error = 1.172637933064591e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.687999999999815 y2[1] (analytic) = 1.438197714585176 y2[1] (numeric) = 1.438197714584965 absolute error = 2.116085084935548e-13 relative error = 1.471345047677187e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.438197714585176 y1[1] (numeric) = 1.438197714585007 absolute error = 1.689759443479488e-13 relative error = 1.174914565878636e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.688999999999815 y2[1] (analytic) = 1.437298617022025 y2[1] (numeric) = 1.437298617021813 absolute error = 2.120525977034049e-13 relative error = 1.475355191969516e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.437298617022025 y1[1] (numeric) = 1.437298617021856 absolute error = 1.691979889528739e-13 relative error = 1.177194404482483e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.689999999999815 y2[1] (analytic) = 1.436399082160293 y2[1] (numeric) = 1.436399082160081 absolute error = 2.122746423083299e-13 relative error = 1.477824964835514e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.436399082160293 y1[1] (numeric) = 1.436399082160124 absolute error = 1.694200335577989e-13 relative error = 1.179477456244244e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.690999999999815 y2[1] (analytic) = 1.435499110899515 y2[1] (numeric) = 1.435499110899303 absolute error = 2.12496686913255e-13 relative error = 1.480298283013912e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.435499110899515 y1[1] (numeric) = 1.435499110899346 absolute error = 1.696420781627239e-13 relative error = 1.181763728550291e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.691999999999815 y2[1] (analytic) = 1.434598704139663 y2[1] (numeric) = 1.43459870413945 absolute error = 2.1271873151818e-13 relative error = 1.482775154503911e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.434598704139663 y1[1] (numeric) = 1.434598704139493 absolute error = 1.69864122767649e-13 relative error = 1.184053228805316e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.692999999999814 y2[1] (analytic) = 1.433697862781142 y2[1] (numeric) = 1.43369786278093 absolute error = 2.1271873151818e-13 relative error = 1.483706832801857e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.433697862781142 y1[1] (numeric) = 1.433697862780972 absolute error = 1.69864122767649e-13 relative error = 1.184797209909625e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.693999999999814 y2[1] (analytic) = 1.432796587724795 y2[1] (numeric) = 1.432796587724582 absolute error = 2.131628207280301e-13 relative error = 1.487739589515084e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.432796587724795 y1[1] (numeric) = 1.432796587724625 absolute error = 1.70086167372574e-13 relative error = 1.187092214133911e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.694999999999814 y2[1] (analytic) = 1.431894879871897 y2[1] (numeric) = 1.431894879871684 absolute error = 2.133848653329551e-13 relative error = 1.490227169134409e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.431894879871897 y1[1] (numeric) = 1.431894879871727 absolute error = 1.70308211977499e-13 relative error = 1.18939046693662e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.695999999999814 y2[1] (analytic) = 1.430992740124154 y2[1] (numeric) = 1.430992740123941 absolute error = 2.133848653329551e-13 relative error = 1.491166652001614e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.430992740124154 y1[1] (numeric) = 1.430992740123984 absolute error = 1.70308211977499e-13 relative error = 1.190140293533026e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.696999999999814 y2[1] (analytic) = 1.430090169383708 y2[1] (numeric) = 1.430090169383494 absolute error = 2.136069099378801e-13 relative error = 1.493660431425337e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.430090169383708 y1[1] (numeric) = 1.430090169383537 absolute error = 1.70530256582424e-13 relative error = 1.192444086626464e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.697999999999814 y2[1] (analytic) = 1.429187168553127 y2[1] (numeric) = 1.429187168552913 absolute error = 2.140509991477302e-13 relative error = 1.497711453458052e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.429187168553127 y1[1] (numeric) = 1.429187168552957 absolute error = 1.707523011873491e-13 relative error = 1.194751149075977e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.698999999999814 y2[1] (analytic) = 1.428283738535414 y2[1] (numeric) = 1.4282837385352 absolute error = 2.142730437526552e-13 relative error = 1.500213423786329e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.428283738535414 y1[1] (numeric) = 1.428283738535243 absolute error = 1.709743457922741e-13 relative error = 1.197061488409817e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.699999999999814 y2[1] (analytic) = 1.427379880233998 y2[1] (numeric) = 1.427379880233784 absolute error = 2.142730437526552e-13 relative error = 1.501163402398024e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.427379880233998 y1[1] (numeric) = 1.427379880233827 absolute error = 1.709743457922741e-13 relative error = 1.197819502431584e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.700999999999814 y2[1] (analytic) = 1.426475594552738 y2[1] (numeric) = 1.426475594552523 absolute error = 2.144950883575802e-13 relative error = 1.50367163081282e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.426475594552738 y1[1] (numeric) = 1.426475594552567 absolute error = 1.711963903971991e-13 relative error = 1.200135432046257e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.701999999999813 y2[1] (analytic) = 1.425570882395918 y2[1] (numeric) = 1.425570882395704 absolute error = 2.147171329625053e-13 relative error = 1.506183491918943e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.425570882395918 y1[1] (numeric) = 1.425570882395747 absolute error = 1.714184350021242e-13 relative error = 1.202454659525774e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.702999999999813 y2[1] (analytic) = 1.424665744668252 y2[1] (numeric) = 1.424665744668037 absolute error = 2.151612221723553e-13 relative error = 1.510257567275598e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.424665744668252 y1[1] (numeric) = 1.42466574466808 absolute error = 1.716404796070492e-13 relative error = 1.204777192470627e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.703999999999813 y2[1] (analytic) = 1.423760182274876 y2[1] (numeric) = 1.423760182274661 absolute error = 2.153832667772804e-13 relative error = 1.512777709748437e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.423760182274876 y1[1] (numeric) = 1.423760182274705 absolute error = 1.716404796070492e-13 relative error = 1.205543473851074e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.704999999999813 y2[1] (analytic) = 1.422854196121353 y2[1] (numeric) = 1.422854196121138 absolute error = 2.156053113822054e-13 relative error = 1.515301511356099e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.422854196121353 y1[1] (numeric) = 1.422854196121182 absolute error = 1.716404796070492e-13 relative error = 1.206311089884927e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.705999999999813 y2[1] (analytic) = 1.42194778711367 y2[1] (numeric) = 1.421947787113454 absolute error = 2.158273559871304e-13 relative error = 1.517828980382085e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.42194778711367 y1[1] (numeric) = 1.421947787113498 absolute error = 1.718625242119742e-13 relative error = 1.208641595489439e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.706999999999813 y2[1] (analytic) = 1.421040956158234 y2[1] (numeric) = 1.421040956158018 absolute error = 2.162714451969805e-13 relative error = 1.521922674077372e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.421040956158234 y1[1] (numeric) = 1.421040956158062 absolute error = 1.720845688168993e-13 relative error = 1.210975433685793e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.707999999999813 y2[1] (analytic) = 1.420133704161878 y2[1] (numeric) = 1.420133704161661 absolute error = 2.164934898019055e-13 relative error = 1.524458501107639e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.420133704161878 y1[1] (numeric) = 1.420133704161705 absolute error = 1.723066134218243e-13 relative error = 1.213312612163618e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.708999999999813 y2[1] (analytic) = 1.419226032031852 y2[1] (numeric) = 1.419226032031635 absolute error = 2.167155344068306e-13 relative error = 1.526998022271105e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.419226032031852 y1[1] (numeric) = 1.41922603203168 absolute error = 1.723066134218243e-13 relative error = 1.214088591477846e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.709999999999813 y2[1] (analytic) = 1.418317940675829 y2[1] (numeric) = 1.418317940675612 absolute error = 2.171596236166806e-13 relative error = 1.531106794807968e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.418317940675829 y1[1] (numeric) = 1.418317940675657 absolute error = 1.727507026316744e-13 relative error = 1.217997020818608e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.710999999999812 y2[1] (analytic) = 1.417409431001901 y2[1] (numeric) = 1.417409431001683 absolute error = 2.173816682216057e-13 relative error = 1.533654732831492e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.417409431001901 y1[1] (numeric) = 1.417409431001728 absolute error = 1.727507026316744e-13 relative error = 1.218777714139837e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.711999999999812 y2[1] (analytic) = 1.416500503918576 y2[1] (numeric) = 1.416500503918358 absolute error = 2.176037128265307e-13 relative error = 1.53620639191131e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.416500503918576 y1[1] (numeric) = 1.416500503918403 absolute error = 1.729727472365994e-13 relative error = 1.221127325815214e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.712999999999812 y2[1] (analytic) = 1.415591160334781 y2[1] (numeric) = 1.415591160334564 absolute error = 2.178257574314557e-13 relative error = 1.538761780484281e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.415591160334781 y1[1] (numeric) = 1.415591160334608 absolute error = 1.731947918415244e-13 relative error = 1.223480314758144e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.713999999999812 y2[1] (analytic) = 1.414681401159862 y2[1] (numeric) = 1.414681401159644 absolute error = 2.182698466413058e-13 relative error = 1.542890480233583e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.414681401159862 y1[1] (numeric) = 1.414681401159688 absolute error = 1.734168364464495e-13 relative error = 1.225836688771545e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.714999999999812 y2[1] (analytic) = 1.413771227303575 y2[1] (numeric) = 1.413771227303357 absolute error = 2.184918912462308e-13 relative error = 1.545454363666397e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.413771227303575 y1[1] (numeric) = 1.413771227303402 absolute error = 1.736388810513745e-13 relative error = 1.22819645567797e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.715999999999812 y2[1] (analytic) = 1.412860639676096 y2[1] (numeric) = 1.412860639675877 absolute error = 2.187139358511558e-13 relative error = 1.548022003792935e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.412860639676096 y1[1] (numeric) = 1.412860639675922 absolute error = 1.736388810513745e-13 relative error = 1.228988027376726e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.716999999999812 y2[1] (analytic) = 1.411949639188012 y2[1] (numeric) = 1.411949639187793 absolute error = 2.191580250610059e-13 relative error = 1.552166019087196e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.411949639188012 y1[1] (numeric) = 1.411949639187838 absolute error = 1.738609256562995e-13 relative error = 1.231353589610207e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.717999999999812 y2[1] (analytic) = 1.411038226750322 y2[1] (numeric) = 1.411038226750103 absolute error = 2.193800696659309e-13 relative error = 1.554742213973693e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.411038226750322 y1[1] (numeric) = 1.411038226750148 absolute error = 1.738609256562995e-13 relative error = 1.232148940831378e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.718999999999812 y2[1] (analytic) = 1.41012640327444 y2[1] (numeric) = 1.410126403274221 absolute error = 2.19602114270856e-13 relative error = 1.557322192967383e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.41012640327444 y1[1] (numeric) = 1.410126403274266 absolute error = 1.740829702612245e-13 relative error = 1.234520322837642e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.719999999999811 y2[1] (analytic) = 1.40921416967219 y2[1] (numeric) = 1.40921416967197 absolute error = 2.19824158875781e-13 relative error = 1.559905964661967e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.40921416967219 y1[1] (numeric) = 1.409214169672015 absolute error = 1.743050148661496e-13 relative error = 1.2368951335956e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.720999999999811 y2[1] (analytic) = 1.408301526855803 y2[1] (numeric) = 1.408301526855583 absolute error = 2.20046203480706e-13 relative error = 1.562493537672893e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.408301526855803 y1[1] (numeric) = 1.408301526855629 absolute error = 1.743050148661496e-13 relative error = 1.237696697349365e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.721999999999811 y2[1] (analytic) = 1.407388475737924 y2[1] (numeric) = 1.407388475737703 absolute error = 2.202682480856311e-13 relative error = 1.565084920637422e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.407388475737924 y1[1] (numeric) = 1.407388475737749 absolute error = 1.743050148661496e-13 relative error = 1.238499659980218e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.722999999999811 y2[1] (analytic) = 1.406475017231603 y2[1] (numeric) = 1.406475017231382 absolute error = 2.204902926905561e-13 relative error = 1.5676801222147e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.406475017231603 y1[1] (numeric) = 1.406475017231428 absolute error = 1.745270594710746e-13 relative error = 1.240882755348192e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.723999999999811 y2[1] (analytic) = 1.405561152250298 y2[1] (numeric) = 1.405561152250077 absolute error = 2.207123372954811e-13 relative error = 1.570279151085825e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.405561152250298 y1[1] (numeric) = 1.405561152250123 absolute error = 1.747491040759996e-13 relative error = 1.24326930775105e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.724999999999811 y2[1] (analytic) = 1.404646881707875 y2[1] (numeric) = 1.404646881707654 absolute error = 2.209343819004062e-13 relative error = 1.572882015953914e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.404646881707875 y1[1] (numeric) = 1.4046468817077 absolute error = 1.749711486809247e-13 relative error = 1.245659325197673e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.725999999999811 y2[1] (analytic) = 1.403732206518604 y2[1] (numeric) = 1.403732206518383 absolute error = 2.213784711102562e-13 relative error = 1.57707054153368e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.403732206518604 y1[1] (numeric) = 1.403732206518429 absolute error = 1.751931932858497e-13 relative error = 1.248052815717225e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.726999999999811 y2[1] (analytic) = 1.40281712759716 y2[1] (numeric) = 1.402817127596939 absolute error = 2.216005157151812e-13 relative error = 1.579682136436084e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.40281712759716 y1[1] (numeric) = 1.402817127596985 absolute error = 1.754152378907747e-13 relative error = 1.250449787359225e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.727999999999811 y2[1] (analytic) = 1.401901645858622 y2[1] (numeric) = 1.401901645858401 absolute error = 2.218225603201063e-13 relative error = 1.582297595379786e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.401901645858622 y1[1] (numeric) = 1.401901645858447 absolute error = 1.754152378907747e-13 relative error = 1.251266366716748e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.72899999999981 y2[1] (analytic) = 1.400985762218472 y2[1] (numeric) = 1.40098576221825 absolute error = 2.220446049250313e-13 relative error = 1.584916927160073e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.400985762218472 y1[1] (numeric) = 1.400985762218297 absolute error = 1.756372824956998e-13 relative error = 1.253669289383617e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.72999999999981 y2[1] (analytic) = 1.400069477592593 y2[1] (numeric) = 1.400069477592371 absolute error = 2.222666495299563e-13 relative error = 1.587540140594607e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.400069477592593 y1[1] (numeric) = 1.400069477592417 absolute error = 1.758593271006248e-13 relative error = 1.256075715635293e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73099999999981 y2[1] (analytic) = 1.39915279289727 y2[1] (numeric) = 1.399152792897048 absolute error = 2.224886941348814e-13 relative error = 1.590167244523502e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.39915279289727 y1[1] (numeric) = 1.399152792897094 absolute error = 1.760813717055498e-13 relative error = 1.258485653599937e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73199999999981 y2[1] (analytic) = 1.398235709049187 y2[1] (numeric) = 1.398235709048964 absolute error = 2.229327833447314e-13 relative error = 1.594386281954762e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.398235709049187 y1[1] (numeric) = 1.398235709049011 absolute error = 1.763034163104749e-13 relative error = 1.260899111426376e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73299999999981 y2[1] (analytic) = 1.397318226965429 y2[1] (numeric) = 1.397318226965205 absolute error = 2.231548279496565e-13 relative error = 1.59702223618942e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.397318226965429 y1[1] (numeric) = 1.397318226965252 absolute error = 1.765254609153999e-13 relative error = 1.263316097284168e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73399999999981 y2[1] (analytic) = 1.396400347563476 y2[1] (numeric) = 1.396400347563252 absolute error = 2.233768725545815e-13 relative error = 1.5996621093968e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.396400347563476 y1[1] (numeric) = 1.396400347563299 absolute error = 1.767475055203249e-13 relative error = 1.265736619363671e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73499999999981 y2[1] (analytic) = 1.395482071761209 y2[1] (numeric) = 1.395482071760985 absolute error = 2.235989171595065e-13 relative error = 1.602305910510961e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.395482071761209 y1[1] (numeric) = 1.395482071761032 absolute error = 1.767475055203249e-13 relative error = 1.266569518139747e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73599999999981 y2[1] (analytic) = 1.394563400476903 y2[1] (numeric) = 1.394563400476679 absolute error = 2.238209617644316e-13 relative error = 1.604953648488774e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.394563400476903 y1[1] (numeric) = 1.394563400476726 absolute error = 1.7696955012525e-13 relative error = 1.268996089132493e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73699999999981 y2[1] (analytic) = 1.393644334629229 y2[1] (numeric) = 1.393644334629005 absolute error = 2.240430063693566e-13 relative error = 1.607605332309997e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.393644334629229 y1[1] (numeric) = 1.393644334629052 absolute error = 1.7696955012525e-13 relative error = 1.269832953271623e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.737999999999809 y2[1] (analytic) = 1.392724875137254 y2[1] (numeric) = 1.392724875137029 absolute error = 2.244870955792067e-13 relative error = 1.611855288770392e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.392724875137254 y1[1] (numeric) = 1.392724875137077 absolute error = 1.77191594730175e-13 relative error = 1.272265598851407e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.738999999999809 y2[1] (analytic) = 1.391805022920436 y2[1] (numeric) = 1.391805022920211 absolute error = 2.247091401841317e-13 relative error = 1.614515945003724e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.391805022920436 y1[1] (numeric) = 1.391805022920259 absolute error = 1.77191594730175e-13 relative error = 1.273106446751948e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.739999999999809 y2[1] (analytic) = 1.390884778898628 y2[1] (numeric) = 1.390884778898403 absolute error = 2.251532293939817e-13 relative error = 1.618777003025867e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.390884778898628 y1[1] (numeric) = 1.390884778898451 absolute error = 1.774136393351e-13 relative error = 1.275545192719594e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.740999999999809 y2[1] (analytic) = 1.389964143992074 y2[1] (numeric) = 1.389964143991848 absolute error = 2.253752739989068e-13 relative error = 1.621446675247416e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.389964143992074 y1[1] (numeric) = 1.389964143991896 absolute error = 1.774136393351e-13 relative error = 1.276390042879493e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.741999999999809 y2[1] (analytic) = 1.389043119121408 y2[1] (numeric) = 1.389043119121182 absolute error = 2.255973186038318e-13 relative error = 1.624120342257811e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.389043119121408 y1[1] (numeric) = 1.38904311912123 absolute error = 1.77635683940025e-13 relative error = 1.278834915163631e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.742999999999809 y2[1] (analytic) = 1.388121705207655 y2[1] (numeric) = 1.388121705207429 absolute error = 2.258193632087568e-13 relative error = 1.626798013182681e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.388121705207655 y1[1] (numeric) = 1.388121705207477 absolute error = 1.778577285449501e-13 relative error = 1.281283390913793e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.743999999999809 y2[1] (analytic) = 1.38719990317223 y2[1] (numeric) = 1.387199903172004 absolute error = 2.260414078136819e-13 relative error = 1.629479697171067e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.38719990317223 y1[1] (numeric) = 1.387199903172052 absolute error = 1.780797731498751e-13 relative error = 1.283735478517874e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.744999999999809 y2[1] (analytic) = 1.386277713936933 y2[1] (numeric) = 1.386277713936707 absolute error = 2.262634524186069e-13 relative error = 1.632165403395502e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.386277713936933 y1[1] (numeric) = 1.386277713936755 absolute error = 1.780797731498751e-13 relative error = 1.284589453899109e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.745999999999809 y2[1] (analytic) = 1.385355138423955 y2[1] (numeric) = 1.385355138423729 absolute error = 2.264854970235319e-13 relative error = 1.63485514105208e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.385355138423955 y1[1] (numeric) = 1.385355138423777 absolute error = 1.783018177548001e-13 relative error = 1.287047723789039e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.746999999999808 y2[1] (analytic) = 1.384432177555871 y2[1] (numeric) = 1.384432177555644 absolute error = 2.26929586233382e-13 relative error = 1.639152787058244e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.384432177555871 y1[1] (numeric) = 1.384432177555692 absolute error = 1.785238623597252e-13 relative error = 1.289509628957758e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.747999999999808 y2[1] (analytic) = 1.383508832255641 y2[1] (numeric) = 1.383508832255414 absolute error = 2.27151630838307e-13 relative error = 1.641851685673479e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.383508832255641 y1[1] (numeric) = 1.383508832255462 absolute error = 1.787459069646502e-13 relative error = 1.291975177876002e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.748999999999808 y2[1] (analytic) = 1.382585103446611 y2[1] (numeric) = 1.382585103446383 absolute error = 2.273736754432321e-13 relative error = 1.644554645326483e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.382585103446611 y1[1] (numeric) = 1.382585103446432 absolute error = 1.789679515695752e-13 relative error = 1.294444379036275e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.749999999999808 y2[1] (analytic) = 1.381660992052509 y2[1] (numeric) = 1.381660992052281 absolute error = 2.275957200481571e-13 relative error = 1.647261675311938e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.381660992052509 y1[1] (numeric) = 1.38166099205233 absolute error = 1.789679515695752e-13 relative error = 1.295310156391632e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.750999999999808 y2[1] (analytic) = 1.380736498997447 y2[1] (numeric) = 1.380736498997219 absolute error = 2.280398092580072e-13 relative error = 1.651580945557584e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.380736498997447 y1[1] (numeric) = 1.380736498997268 absolute error = 1.794120407794253e-13 relative error = 1.29939377216215e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.751999999999808 y2[1] (analytic) = 1.379811625205918 y2[1] (numeric) = 1.37981162520569 absolute error = 2.280398092580072e-13 relative error = 1.65268798357874e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.379811625205918 y1[1] (numeric) = 1.379811625205738 absolute error = 1.794120407794253e-13 relative error = 1.300264742679281e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.752999999999808 y2[1] (analytic) = 1.378886371602795 y2[1] (numeric) = 1.378886371602567 absolute error = 2.282618538629322e-13 relative error = 1.655407280569496e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.378886371602795 y1[1] (numeric) = 1.378886371602615 absolute error = 1.796340853843503e-13 relative error = 1.302747558347006e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.753999999999808 y2[1] (analytic) = 1.377960739113332 y2[1] (numeric) = 1.377960739113103 absolute error = 2.284838984678572e-13 relative error = 1.658130685311676e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.377960739113332 y1[1] (numeric) = 1.377960739113152 absolute error = 1.798561299892754e-13 relative error = 1.305234067154963e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.754999999999808 y2[1] (analytic) = 1.377034728663161 y2[1] (numeric) = 1.377034728662933 absolute error = 2.287059430727822e-13 relative error = 1.660858207220468e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.377034728663161 y1[1] (numeric) = 1.377034728662981 absolute error = 1.800781745942004e-13 relative error = 1.307724277724077e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.755999999999807 y2[1] (analytic) = 1.376108341178294 y2[1] (numeric) = 1.376108341178065 absolute error = 2.289279876777073e-13 relative error = 1.663589855735396e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.376108341178294 y1[1] (numeric) = 1.376108341178113 absolute error = 1.803002191991254e-13 relative error = 1.310218198697518e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.756999999999807 y2[1] (analytic) = 1.375181577585116 y2[1] (numeric) = 1.375181577584887 absolute error = 2.291500322826323e-13 relative error = 1.66632564032039e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.375181577585116 y1[1] (numeric) = 1.375181577584936 absolute error = 1.805222638040505e-13 relative error = 1.312715838740772e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.757999999999807 y2[1] (analytic) = 1.374254438810392 y2[1] (numeric) = 1.374254438810163 absolute error = 2.293720768875573e-13 relative error = 1.66906557046387e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.374254438810392 y1[1] (numeric) = 1.374254438810212 absolute error = 1.807443084089755e-13 relative error = 1.315217206541714e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.758999999999807 y2[1] (analytic) = 1.373326925781261 y2[1] (numeric) = 1.373326925781031 absolute error = 2.295941214924824e-13 relative error = 1.671809655678821e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.373326925781261 y1[1] (numeric) = 1.37332692578108 absolute error = 1.809663530139005e-13 relative error = 1.317722310810676e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.759999999999807 y2[1] (analytic) = 1.372399039425235 y2[1] (numeric) = 1.372399039425005 absolute error = 2.298161660974074e-13 relative error = 1.674557905502872e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.372399039425235 y1[1] (numeric) = 1.372399039425054 absolute error = 1.809663530139005e-13 relative error = 1.318613229937044e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.760999999999807 y2[1] (analytic) = 1.3714707806702 y2[1] (numeric) = 1.37147078066997 absolute error = 2.300382107023324e-13 relative error = 1.677310329498373e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.3714707806702 y1[1] (numeric) = 1.371470780670019 absolute error = 1.811883976188255e-13 relative error = 1.321124738292155e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.761999999999807 y2[1] (analytic) = 1.370542150444416 y2[1] (numeric) = 1.370542150444185 absolute error = 2.302602553072575e-13 relative error = 1.680066937252478e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.370542150444416 y1[1] (numeric) = 1.370542150444234 absolute error = 1.814104422237506e-13 relative error = 1.323640007459281e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.762999999999807 y2[1] (analytic) = 1.369613149676512 y2[1] (numeric) = 1.369613149676281 absolute error = 2.304822999121825e-13 relative error = 1.68282773837722e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.369613149676512 y1[1] (numeric) = 1.36961314967633 absolute error = 1.814104422237506e-13 relative error = 1.324537824907696e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.763999999999807 y2[1] (analytic) = 1.368683779295489 y2[1] (numeric) = 1.368683779295258 absolute error = 2.307043445171075e-13 relative error = 1.685592742509591e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.368683779295489 y1[1] (numeric) = 1.368683779295307 absolute error = 1.816324868286756e-13 relative error = 1.327059541263566e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.764999999999807 y2[1] (analytic) = 1.367754040230718 y2[1] (numeric) = 1.367754040230487 absolute error = 2.309263891220326e-13 relative error = 1.688361959311625e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.367754040230718 y1[1] (numeric) = 1.367754040230536 absolute error = 1.818545314336006e-13 relative error = 1.329585042957905e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.765999999999806 y2[1] (analytic) = 1.366823933411937 y2[1] (numeric) = 1.366823933411706 absolute error = 2.311484337269576e-13 relative error = 1.691135398470474e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.366823933411937 y1[1] (numeric) = 1.366823933411755 absolute error = 1.820765760385257e-13 relative error = 1.332114338852822e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.766999999999806 y2[1] (analytic) = 1.365893459769253 y2[1] (numeric) = 1.365893459769022 absolute error = 2.313704783318826e-13 relative error = 1.69391306969849e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.365893459769253 y1[1] (numeric) = 1.365893459769071 absolute error = 1.820765760385257e-13 relative error = 1.333021801490174e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.767999999999806 y2[1] (analytic) = 1.36496262023314 y2[1] (numeric) = 1.364962620232909 absolute error = 2.315925229368077e-13 relative error = 1.696694982733307e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.36496262023314 y1[1] (numeric) = 1.364962620232958 absolute error = 1.822986206434507e-13 relative error = 1.335557603858144e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.768999999999806 y2[1] (analytic) = 1.364031415734437 y2[1] (numeric) = 1.364031415734205 absolute error = 2.318145675417327e-13 relative error = 1.699481147337919e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.364031415734437 y1[1] (numeric) = 1.364031415734255 absolute error = 1.825206652483757e-13 relative error = 1.338097225202844e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.769999999999806 y2[1] (analytic) = 1.363099847204349 y2[1] (numeric) = 1.363099847204117 absolute error = 2.322586567515827e-13 relative error = 1.703900541313491e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.363099847204349 y1[1] (numeric) = 1.363099847204166 absolute error = 1.827427098533008e-13 relative error = 1.340640674475146e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.770999999999806 y2[1] (analytic) = 1.362167915574444 y2[1] (numeric) = 1.362167915574211 absolute error = 2.324807013565078e-13 relative error = 1.706696352912318e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.362167915574444 y1[1] (numeric) = 1.362167915574261 absolute error = 1.827427098533008e-13 relative error = 1.34155787817272e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.771999999999806 y2[1] (analytic) = 1.361235621776653 y2[1] (numeric) = 1.361235621776421 absolute error = 2.329247905663578e-13 relative error = 1.711127646383142e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.361235621776653 y1[1] (numeric) = 1.361235621776471 absolute error = 1.829647544582258e-13 relative error = 1.344107893822411e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.772999999999806 y2[1] (analytic) = 1.360302966743271 y2[1] (numeric) = 1.360302966743038 absolute error = 2.331468351712829e-13 relative error = 1.713933152182006e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.360302966743271 y1[1] (numeric) = 1.360302966743088 absolute error = 1.829647544582258e-13 relative error = 1.345029445140926e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.773999999999806 y2[1] (analytic) = 1.359369951406952 y2[1] (numeric) = 1.359369951406719 absolute error = 2.333688797762079e-13 relative error = 1.716742962684076e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.359369951406952 y1[1] (numeric) = 1.359369951406769 absolute error = 1.831867990631508e-13 relative error = 1.347586055389498e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.774999999999805 y2[1] (analytic) = 1.358436576700712 y2[1] (numeric) = 1.358436576700478 absolute error = 2.33812968986058e-13 relative error = 1.721191647783283e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.358436576700712 y1[1] (numeric) = 1.358436576700528 absolute error = 1.834088436680759e-13 relative error = 1.350146534728387e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.775999999999805 y2[1] (analytic) = 1.357502843557925 y2[1] (numeric) = 1.357502843557691 absolute error = 2.34035013590983e-13 relative error = 1.724011221793045e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.357502843557925 y1[1] (numeric) = 1.357502843557741 absolute error = 1.836308882730009e-13 relative error = 1.352710892241791e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.776999999999805 y2[1] (analytic) = 1.356568752912324 y2[1] (numeric) = 1.356568752912089 absolute error = 2.34257058195908e-13 relative error = 1.726835132336623e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.356568752912324 y1[1] (numeric) = 1.35656875291214 absolute error = 1.838529328779259e-13 relative error = 1.355279137037653e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.777999999999805 y2[1] (analytic) = 1.355634305697999 y2[1] (numeric) = 1.355634305697765 absolute error = 2.344791028008331e-13 relative error = 1.729663389420517e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.355634305697999 y1[1] (numeric) = 1.355634305697815 absolute error = 1.84074977482851e-13 relative error = 1.357851278247735e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.778999999999805 y2[1] (analytic) = 1.354699502849399 y2[1] (numeric) = 1.354699502849164 absolute error = 2.347011474057581e-13 relative error = 1.732496003077441e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.354699502849399 y1[1] (numeric) = 1.354699502849215 absolute error = 1.84297022087776e-13 relative error = 1.360427325027698e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.779999999999805 y2[1] (analytic) = 1.353764345301326 y2[1] (numeric) = 1.353764345301091 absolute error = 2.349231920106831e-13 relative error = 1.735332983366415e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.353764345301326 y1[1] (numeric) = 1.353764345301141 absolute error = 1.84519066692701e-13 relative error = 1.363007286557175e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.780999999999805 y2[1] (analytic) = 1.352828833988936 y2[1] (numeric) = 1.352828833988701 absolute error = 2.351452366156082e-13 relative error = 1.738174340372843e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.352828833988936 y1[1] (numeric) = 1.352828833988752 absolute error = 1.84519066692701e-13 relative error = 1.363949836496537e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.781999999999805 y2[1] (analytic) = 1.351892969847742 y2[1] (numeric) = 1.351892969847507 absolute error = 2.353672812205332e-13 relative error = 1.741020084208601e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.351892969847742 y1[1] (numeric) = 1.351892969847557 absolute error = 1.84519066692701e-13 relative error = 1.364894047148441e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.782999999999805 y2[1] (analytic) = 1.350956753813608 y2[1] (numeric) = 1.350956753813372 absolute error = 2.358113704303832e-13 relative error = 1.745513835026271e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.350956753813608 y1[1] (numeric) = 1.350956753813423 absolute error = 1.84741111297626e-13 relative error = 1.367483531771994e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.783999999999804 y2[1] (analytic) = 1.350020186822749 y2[1] (numeric) = 1.350020186822513 absolute error = 2.360334150353083e-13 relative error = 1.748369523205495e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.350020186822749 y1[1] (numeric) = 1.350020186822564 absolute error = 1.849631559025511e-13 relative error = 1.370076964092359e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.784999999999804 y2[1] (analytic) = 1.349083269811732 y2[1] (numeric) = 1.349083269811496 absolute error = 2.362554596402333e-13 relative error = 1.751229630719558e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.349083269811732 y1[1] (numeric) = 1.349083269811547 absolute error = 1.851852005074761e-13 relative error = 1.37267435340236e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.785999999999804 y2[1] (analytic) = 1.348146003717474 y2[1] (numeric) = 1.348146003717238 absolute error = 2.364775042451583e-13 relative error = 1.754094167791013e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.348146003717474 y1[1] (numeric) = 1.348146003717289 absolute error = 1.854072451124011e-13 relative error = 1.375275709019245e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.786999999999804 y2[1] (analytic) = 1.347208389477242 y2[1] (numeric) = 1.347208389477005 absolute error = 2.366995488500834e-13 relative error = 1.756963144669326e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.347208389477242 y1[1] (numeric) = 1.347208389477057 absolute error = 1.856292897173262e-13 relative error = 1.377881040284762e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.787999999999804 y2[1] (analytic) = 1.346270428028649 y2[1] (numeric) = 1.346270428028413 absolute error = 2.369215934550084e-13 relative error = 1.75983657163096e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.346270428028649 y1[1] (numeric) = 1.346270428028464 absolute error = 1.858513343222512e-13 relative error = 1.380490356565243e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.788999999999804 y2[1] (analytic) = 1.345332120309658 y2[1] (numeric) = 1.34533212030942 absolute error = 2.373656826648585e-13 relative error = 1.764364940682629e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.345332120309658 y1[1] (numeric) = 1.345332120309472 absolute error = 1.860733789271762e-13 relative error = 1.383103667251677e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.789999999999804 y2[1] (analytic) = 1.344393467258574 y2[1] (numeric) = 1.344393467258337 absolute error = 2.373656826648585e-13 relative error = 1.765596817045561e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.344393467258574 y1[1] (numeric) = 1.344393467258388 absolute error = 1.860733789271762e-13 relative error = 1.38406934769334e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.790999999999804 y2[1] (analytic) = 1.343454469814052 y2[1] (numeric) = 1.343454469813815 absolute error = 2.375877272697835e-13 relative error = 1.768483656187233e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.343454469814052 y1[1] (numeric) = 1.343454469813866 absolute error = 1.862954235321013e-13 relative error = 1.386689521066437e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.791999999999804 y2[1] (analytic) = 1.342515128915089 y2[1] (numeric) = 1.342515128914851 absolute error = 2.378097718747085e-13 relative error = 1.771374986789809e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.342515128915089 y1[1] (numeric) = 1.342515128914903 absolute error = 1.865174681370263e-13 relative error = 1.389313715129262e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.792999999999803 y2[1] (analytic) = 1.341575445501026 y2[1] (numeric) = 1.341575445500788 absolute error = 2.380318164796336e-13 relative error = 1.774270819266061e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.341575445501026 y1[1] (numeric) = 1.341575445500839 absolute error = 1.865174681370263e-13 relative error = 1.390286835992063e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.793999999999803 y2[1] (analytic) = 1.340635420511545 y2[1] (numeric) = 1.340635420511307 absolute error = 2.384759056894836e-13 relative error = 1.778827427955682e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.340635420511545 y1[1] (numeric) = 1.340635420511358 absolute error = 1.867395127419513e-13 relative error = 1.392917939395464e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.794999999999803 y2[1] (analytic) = 1.339695054886672 y2[1] (numeric) = 1.339695054886434 absolute error = 2.386979502944087e-13 relative error = 1.781733458101035e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.339695054886672 y1[1] (numeric) = 1.339695054886486 absolute error = 1.867395127419513e-13 relative error = 1.393895663500437e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.795999999999803 y2[1] (analytic) = 1.338754349566773 y2[1] (numeric) = 1.338754349566534 absolute error = 2.389199948993337e-13 relative error = 1.784644023577957e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.338754349566773 y1[1] (numeric) = 1.338754349566586 absolute error = 1.867395127419513e-13 relative error = 1.394875115082771e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.796999999999803 y2[1] (analytic) = 1.337813305492553 y2[1] (numeric) = 1.337813305492313 absolute error = 2.391420395042587e-13 relative error = 1.787559134913911e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.337813305492553 y1[1] (numeric) = 1.337813305492366 absolute error = 1.869615573468764e-13 relative error = 1.397516055336595e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.797999999999803 y2[1] (analytic) = 1.336871923605055 y2[1] (numeric) = 1.336871923604815 absolute error = 2.393640841091838e-13 relative error = 1.790478802664255e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.336871923605055 y1[1] (numeric) = 1.336871923604867 absolute error = 1.871836019518014e-13 relative error = 1.40016106738958e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.798999999999803 y2[1] (analytic) = 1.335930204845661 y2[1] (numeric) = 1.335930204845422 absolute error = 2.395861287141088e-13 relative error = 1.793403037412332e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.335930204845661 y1[1] (numeric) = 1.335930204845474 absolute error = 1.874056465567264e-13 relative error = 1.402810160867478e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.799999999999803 y2[1] (analytic) = 1.334988150156091 y2[1] (numeric) = 1.334988150155851 absolute error = 2.400302179239588e-13 relative error = 1.797995120000831e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.334988150156091 y1[1] (numeric) = 1.334988150155903 absolute error = 1.876276911616515e-13 relative error = 1.405463345421556e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.800999999999803 y2[1] (analytic) = 1.334045760478398 y2[1] (numeric) = 1.334045760478158 absolute error = 2.402522625288839e-13 relative error = 1.800929695565523e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.334045760478398 y1[1] (numeric) = 1.334045760478211 absolute error = 1.878497357665765e-13 relative error = 1.408120630728681e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.801999999999802 y2[1] (analytic) = 1.333103036754973 y2[1] (numeric) = 1.333103036754733 absolute error = 2.404743071338089e-13 relative error = 1.803868872125362e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.333103036754973 y1[1] (numeric) = 1.333103036754785 absolute error = 1.880717803715015e-13 relative error = 1.410782026491396e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.802999999999802 y2[1] (analytic) = 1.332159979928539 y2[1] (numeric) = 1.332159979928298 absolute error = 2.404743071338089e-13 relative error = 1.805145859033452e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.332159979928539 y1[1] (numeric) = 1.332159979928351 absolute error = 1.880717803715015e-13 relative error = 1.411780741090798e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.803999999999802 y2[1] (analytic) = 1.331216590942153 y2[1] (numeric) = 1.331216590941912 absolute error = 2.40918396343659e-13 relative error = 1.809761071060209e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.331216590942153 y1[1] (numeric) = 1.331216590941964 absolute error = 1.882938249764265e-13 relative error = 1.414449205768716e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.804999999999802 y2[1] (analytic) = 1.330272870739203 y2[1] (numeric) = 1.330272870738961 absolute error = 2.41140440948584e-13 relative error = 1.812714114921307e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.330272870739203 y1[1] (numeric) = 1.330272870739014 absolute error = 1.882938249764265e-13 relative error = 1.415452642222162e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.805999999999802 y2[1] (analytic) = 1.32932882026341 y2[1] (numeric) = 1.329328820263168 absolute error = 2.41362485553509e-13 relative error = 1.815671802749921e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.32932882026341 y1[1] (numeric) = 1.329328820263221 absolute error = 1.885158695813516e-13 relative error = 1.418128206563646e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.806999999999802 y2[1] (analytic) = 1.328384440458824 y2[1] (numeric) = 1.328384440458582 absolute error = 2.415845301584341e-13 relative error = 1.818634145360742e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.328384440458824 y1[1] (numeric) = 1.328384440458635 absolute error = 1.887379141862766e-13 relative error = 1.42080792606308e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.807999999999802 y2[1] (analytic) = 1.327439732269825 y2[1] (numeric) = 1.327439732269583 absolute error = 2.418065747633591e-13 relative error = 1.82160115359729e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.327439732269825 y1[1] (numeric) = 1.327439732269636 absolute error = 1.889599587912016e-13 relative error = 1.423491810570518e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.808999999999802 y2[1] (analytic) = 1.326494696641121 y2[1] (numeric) = 1.326494696640879 absolute error = 2.420286193682841e-13 relative error = 1.824572838332004e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.326494696641121 y1[1] (numeric) = 1.326494696640932 absolute error = 1.889599587912016e-13 relative error = 1.424505949927097e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.809999999999802 y2[1] (analytic) = 1.325549334517748 y2[1] (numeric) = 1.325549334517506 absolute error = 2.422506639732092e-13 relative error = 1.827549210466339e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.325549334517748 y1[1] (numeric) = 1.325549334517559 absolute error = 1.891820033961267e-13 relative error = 1.427197000290853e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.810999999999801 y2[1] (analytic) = 1.324603646845067 y2[1] (numeric) = 1.324603646844825 absolute error = 2.424727085781342e-13 relative error = 1.83053028093086e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.324603646845067 y1[1] (numeric) = 1.324603646844878 absolute error = 1.894040480010517e-13 relative error = 1.4298922432546e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.811999999999801 y2[1] (analytic) = 1.323657634568767 y2[1] (numeric) = 1.323657634568524 absolute error = 2.426947531830592e-13 relative error = 1.833516060685334e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.323657634568767 y1[1] (numeric) = 1.323657634568577 absolute error = 1.896260926059767e-13 relative error = 1.432591688769694e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.812999999999801 y2[1] (analytic) = 1.322711298634858 y2[1] (numeric) = 1.322711298634615 absolute error = 2.429167977879843e-13 relative error = 1.836506560718831e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.322711298634858 y1[1] (numeric) = 1.322711298634669 absolute error = 1.898481372109018e-13 relative error = 1.435295346814077e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.813999999999801 y2[1] (analytic) = 1.321764639989679 y2[1] (numeric) = 1.321764639989435 absolute error = 2.431388423929093e-13 relative error = 1.839501792049815e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.321764639989679 y1[1] (numeric) = 1.321764639989488 absolute error = 1.900701818158268e-13 relative error = 1.438003227392367e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.814999999999801 y2[1] (analytic) = 1.320817659579886 y2[1] (numeric) = 1.320817659579642 absolute error = 2.433608869978343e-13 relative error = 1.842501765726243e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.320817659579886 y1[1] (numeric) = 1.320817659579695 absolute error = 1.902922264207518e-13 relative error = 1.44071534053594e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.815999999999801 y2[1] (analytic) = 1.31987035835246 y2[1] (numeric) = 1.319870358352216 absolute error = 2.435829316027593e-13 relative error = 1.845506492825659e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.31987035835246 y1[1] (numeric) = 1.319870358352269 absolute error = 1.905142710256769e-13 relative error = 1.443431696303022e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.816999999999801 y2[1] (analytic) = 1.318922737254702 y2[1] (numeric) = 1.318922737254458 absolute error = 2.440270208126094e-13 relative error = 1.850199514495779e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.318922737254702 y1[1] (numeric) = 1.318922737254511 absolute error = 1.907363156306019e-13 relative error = 1.446152304778776e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.817999999999801 y2[1] (analytic) = 1.317974797234234 y2[1] (numeric) = 1.31797479723399 absolute error = 2.440270208126094e-13 relative error = 1.851530251752153e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.317974797234234 y1[1] (numeric) = 1.317974797234043 absolute error = 1.907363156306019e-13 relative error = 1.447192435172975e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.818999999999801 y2[1] (analytic) = 1.317026539238995 y2[1] (numeric) = 1.317026539238751 absolute error = 2.442490654175344e-13 relative error = 1.854549305883134e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.317026539238995 y1[1] (numeric) = 1.317026539238804 absolute error = 1.909583602355269e-13 relative error = 1.449920366417723e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8199999999998 y2[1] (analytic) = 1.316077964217243 y2[1] (numeric) = 1.316077964216999 absolute error = 2.444711100224595e-13 relative error = 1.857573158045103e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.316077964217243 y1[1] (numeric) = 1.316077964217052 absolute error = 1.91180404840452e-13 relative error = 1.452652578634727e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8209999999998 y2[1] (analytic) = 1.315129073117553 y2[1] (numeric) = 1.315129073117309 absolute error = 2.446931546273845e-13 relative error = 1.860601819465005e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.315129073117553 y1[1] (numeric) = 1.315129073117362 absolute error = 1.91180404840452e-13 relative error = 1.453700695607413e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8219999999998 y2[1] (analytic) = 1.314179866888817 y2[1] (numeric) = 1.314179866888572 absolute error = 2.449151992323095e-13 relative error = 1.863635301399957e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.314179866888817 y1[1] (numeric) = 1.314179866888626 absolute error = 1.91180404840452e-13 relative error = 1.454750674982197e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8229999999998 y2[1] (analytic) = 1.31323034648024 y2[1] (numeric) = 1.313230346479994 absolute error = 2.451372438372346e-13 relative error = 1.866673615137352e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.31323034648024 y1[1] (numeric) = 1.313230346480048 absolute error = 1.91402449445377e-13 relative error = 1.457493348051085e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8239999999998 y2[1] (analytic) = 1.312280512841342 y2[1] (numeric) = 1.312280512841097 absolute error = 2.453592884421596e-13 relative error = 1.869716771994954e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.312280512841342 y1[1] (numeric) = 1.31228051284115 absolute error = 1.91624494050302e-13 relative error = 1.460240338671172e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8249999999998 y2[1] (analytic) = 1.311330366921957 y2[1] (numeric) = 1.311330366921712 absolute error = 2.453592884421596e-13 relative error = 1.871071505940058e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.311330366921957 y1[1] (numeric) = 1.311330366921766 absolute error = 1.91624494050302e-13 relative error = 1.461298379752281e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8259999999998 y2[1] (analytic) = 1.310379909672232 y2[1] (numeric) = 1.310379909671986 absolute error = 2.455813330470846e-13 relative error = 1.874123154929263e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.310379909672232 y1[1] (numeric) = 1.31037990967204 absolute error = 1.918465386552271e-13 relative error = 1.464052808190672e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8269999999998 y2[1] (analytic) = 1.309429142042623 y2[1] (numeric) = 1.309429142042377 absolute error = 2.458033776520097e-13 relative error = 1.877179678990286e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.309429142042623 y1[1] (numeric) = 1.309429142042431 absolute error = 1.920685832601521e-13 relative error = 1.466811582950856e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8279999999998 y2[1] (analytic) = 1.308478064983897 y2[1] (numeric) = 1.308478064983651 absolute error = 2.462474668618597e-13 relative error = 1.88193805805136e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.308478064983897 y1[1] (numeric) = 1.308478064983705 absolute error = 1.922906278650771e-13 relative error = 1.469574714402595e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.828999999999799 y2[1] (analytic) = 1.307526679447133 y2[1] (numeric) = 1.307526679446886 absolute error = 2.464695114667848e-13 relative error = 1.88500560134651e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.307526679447133 y1[1] (numeric) = 1.30752667944694 absolute error = 1.922906278650771e-13 relative error = 1.470644009699169e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.829999999999799 y2[1] (analytic) = 1.306574986383714 y2[1] (numeric) = 1.306574986383467 absolute error = 2.466915560717098e-13 relative error = 1.888078056311891e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.306574986383714 y1[1] (numeric) = 1.306574986383521 absolute error = 1.925126724700021e-13 relative error = 1.473414648805049e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.830999999999799 y2[1] (analytic) = 1.305622986745335 y2[1] (numeric) = 1.305622986745088 absolute error = 2.469136006766348e-13 relative error = 1.891155434480689e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.305622986745335 y1[1] (numeric) = 1.305622986745142 absolute error = 1.927347170749272e-13 relative error = 1.476189673677372e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.831999999999799 y2[1] (analytic) = 1.304670681483994 y2[1] (numeric) = 1.304670681483747 absolute error = 2.471356452815598e-13 relative error = 1.894237747417272e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.304670681483994 y1[1] (numeric) = 1.304670681483801 absolute error = 1.929567616798522e-13 relative error = 1.478969094793899e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.832999999999799 y2[1] (analytic) = 1.303718071551997 y2[1] (numeric) = 1.30371807155175 absolute error = 2.473576898864849e-13 relative error = 1.897325006717293e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.303718071551997 y1[1] (numeric) = 1.303718071551804 absolute error = 1.931788062847772e-13 relative error = 1.481752922660722e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.833999999999799 y2[1] (analytic) = 1.302765157901954 y2[1] (numeric) = 1.302765157901707 absolute error = 2.475797344914099e-13 relative error = 1.900417224007788e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.302765157901954 y1[1] (numeric) = 1.302765157901761 absolute error = 1.934008508897023e-13 relative error = 1.484541167812362e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.834999999999799 y2[1] (analytic) = 1.301811941486778 y2[1] (numeric) = 1.301811941486531 absolute error = 2.478017790963349e-13 relative error = 1.903514410947287e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.301811941486778 y1[1] (numeric) = 1.301811941486585 absolute error = 1.934008508897023e-13 relative error = 1.485628182737533e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.835999999999799 y2[1] (analytic) = 1.300858423259686 y2[1] (numeric) = 1.300858423259438 absolute error = 2.4802382370126e-13 relative error = 1.906616579225915e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.300858423259686 y1[1] (numeric) = 1.300858423259493 absolute error = 1.934008508897023e-13 relative error = 1.486717135636322e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.836999999999799 y2[1] (analytic) = 1.299904604174196 y2[1] (numeric) = 1.299904604173948 absolute error = 2.4846791291111e-13 relative error = 1.911431901335228e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.299904604174196 y1[1] (numeric) = 1.299904604174003 absolute error = 1.936228954946273e-13 relative error = 1.489516191210294e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.837999999999798 y2[1] (analytic) = 1.298950485184127 y2[1] (numeric) = 1.298950485183878 absolute error = 2.486899575160351e-13 relative error = 1.914545322185881e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.298950485184127 y1[1] (numeric) = 1.298950485183933 absolute error = 1.936228954946273e-13 relative error = 1.490610286559007e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.838999999999798 y2[1] (analytic) = 1.297996067243597 y2[1] (numeric) = 1.297996067243348 absolute error = 2.489120021209601e-13 relative error = 1.917663761875223e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.297996067243597 y1[1] (numeric) = 1.297996067243403 absolute error = 1.938449400995523e-13 relative error = 1.493417006348858e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.839999999999798 y2[1] (analytic) = 1.297041351307025 y2[1] (numeric) = 1.297041351306776 absolute error = 2.491340467258851e-13 relative error = 1.920787232225352e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.297041351307025 y1[1] (numeric) = 1.297041351306831 absolute error = 1.938449400995523e-13 relative error = 1.494516268924004e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.840999999999798 y2[1] (analytic) = 1.296086338329126 y2[1] (numeric) = 1.296086338328877 absolute error = 2.493560913308102e-13 relative error = 1.923915745090502e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.296086338329126 y1[1] (numeric) = 1.296086338328932 absolute error = 1.940669847044774e-13 relative error = 1.49733068674007e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.841999999999798 y2[1] (analytic) = 1.295131029264914 y2[1] (numeric) = 1.295131029264665 absolute error = 2.495781359357352e-13 relative error = 1.927049312357143e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.295131029264914 y1[1] (numeric) = 1.29513102926472 absolute error = 1.942890293094024e-13 relative error = 1.500149598142794e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.842999999999798 y2[1] (analytic) = 1.294175425069697 y2[1] (numeric) = 1.294175425069447 absolute error = 2.498001805406602e-13 relative error = 1.930187945944093e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.294175425069697 y1[1] (numeric) = 1.294175425069503 absolute error = 1.945110739143274e-13 relative error = 1.502973013908467e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.843999999999798 y2[1] (analytic) = 1.29321952669908 y2[1] (numeric) = 1.29321952669883 absolute error = 2.500222251455853e-13 relative error = 1.933331657802621e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.29321952669908 y1[1] (numeric) = 1.293219526698885 absolute error = 1.947331185192525e-13 relative error = 1.505800944842716e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.844999999999798 y2[1] (analytic) = 1.29226333510896 y2[1] (numeric) = 1.29226333510871 absolute error = 2.500222251455853e-13 relative error = 1.934762198638903e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.29226333510896 y1[1] (numeric) = 1.292263335108765 absolute error = 1.947331185192525e-13 relative error = 1.506915140502947e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.845999999999798 y2[1] (analytic) = 1.291306851255529 y2[1] (numeric) = 1.291306851255279 absolute error = 2.504663143554353e-13 relative error = 1.939634364302401e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.291306851255529 y1[1] (numeric) = 1.291306851255334 absolute error = 1.949551631241775e-13 relative error = 1.509750861575805e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.846999999999797 y2[1] (analytic) = 1.290350076095272 y2[1] (numeric) = 1.290350076095021 absolute error = 2.504663143554353e-13 relative error = 1.941072573989932e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.290350076095272 y1[1] (numeric) = 1.290350076095077 absolute error = 1.949551631241775e-13 relative error = 1.510870319116277e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.847999999999797 y2[1] (analytic) = 1.289393010584962 y2[1] (numeric) = 1.289393010584711 absolute error = 2.509104035652854e-13 relative error = 1.945957528119795e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.289393010584962 y1[1] (numeric) = 1.289393010584767 absolute error = 1.951772077291025e-13 relative error = 1.51371386479407e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.848999999999797 y2[1] (analytic) = 1.288435655681666 y2[1] (numeric) = 1.288435655681415 absolute error = 2.511324481702104e-13 relative error = 1.949126811748663e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.288435655681666 y1[1] (numeric) = 1.288435655681471 absolute error = 1.951772077291025e-13 relative error = 1.514838609661428e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.849999999999797 y2[1] (analytic) = 1.287478012342739 y2[1] (numeric) = 1.287478012342487 absolute error = 2.513544927751354e-13 relative error = 1.95230124604429e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.287478012342739 y1[1] (numeric) = 1.287478012342543 absolute error = 1.953992523340276e-13 relative error = 1.517690014592734e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.850999999999797 y2[1] (analytic) = 1.286520081525823 y2[1] (numeric) = 1.286520081525571 absolute error = 2.515765373800605e-13 relative error = 1.955480843188151e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.286520081525823 y1[1] (numeric) = 1.286520081525627 absolute error = 1.956212969389526e-13 relative error = 1.520546004279577e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.851999999999797 y2[1] (analytic) = 1.285561864188849 y2[1] (numeric) = 1.285561864188598 absolute error = 2.517985819849855e-13 relative error = 1.958665615395046e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.285561864188849 y1[1] (numeric) = 1.285561864188653 absolute error = 1.958433415438776e-13 relative error = 1.523406589751702e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.852999999999797 y2[1] (analytic) = 1.284603361290035 y2[1] (numeric) = 1.284603361289783 absolute error = 2.520206265899105e-13 relative error = 1.961855574913211e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.284603361290035 y1[1] (numeric) = 1.284603361289839 absolute error = 1.960653861488026e-13 relative error = 1.526271782069044e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.853999999999797 y2[1] (analytic) = 1.283644573787884 y2[1] (numeric) = 1.283644573787632 absolute error = 2.522426711948356e-13 relative error = 1.965050734024428e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.283644573787884 y1[1] (numeric) = 1.283644573787688 absolute error = 1.962874307537277e-13 relative error = 1.529141592321826e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.854999999999797 y2[1] (analytic) = 1.282685502641182 y2[1] (numeric) = 1.28268550264093 absolute error = 2.524647157997606e-13 relative error = 1.968251105044141e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.282685502641182 y1[1] (numeric) = 1.282685502640986 absolute error = 1.962874307537277e-13 relative error = 1.530284940069499e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.855999999999796 y2[1] (analytic) = 1.281726148809001 y2[1] (numeric) = 1.281726148808749 absolute error = 2.526867604046856e-13 relative error = 1.971456700321561e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.281726148809001 y1[1] (numeric) = 1.281726148808805 absolute error = 1.965094753586527e-13 relative error = 1.533162723888033e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.856999999999796 y2[1] (analytic) = 1.280766513250695 y2[1] (numeric) = 1.280766513250442 absolute error = 2.529088050096107e-13 relative error = 1.974667532239787e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.280766513250695 y1[1] (numeric) = 1.280766513250498 absolute error = 1.967315199635777e-13 relative error = 1.536045156773004e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.857999999999796 y2[1] (analytic) = 1.279806596925899 y2[1] (numeric) = 1.279806596925646 absolute error = 2.533528942194607e-13 relative error = 1.979618598841539e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.279806596925899 y1[1] (numeric) = 1.279806596925702 absolute error = 1.971756091734278e-13 relative error = 1.540667235557657e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.858999999999796 y2[1] (analytic) = 1.27884640079453 y2[1] (numeric) = 1.278846400794276 absolute error = 2.535749388243858e-13 relative error = 1.982841244005872e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.27884640079453 y1[1] (numeric) = 1.278846400794333 absolute error = 1.971756091734278e-13 relative error = 1.541824014603515e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.859999999999796 y2[1] (analytic) = 1.277885925816783 y2[1] (numeric) = 1.277885925816529 absolute error = 2.537969834293108e-13 relative error = 1.986069165501546e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.277885925816783 y1[1] (numeric) = 1.277885925816585 absolute error = 1.971756091734278e-13 relative error = 1.542982868736109e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.860999999999796 y2[1] (analytic) = 1.276925172953133 y2[1] (numeric) = 1.276925172952879 absolute error = 2.540190280342358e-13 relative error = 1.989302375853147e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.276925172953133 y1[1] (numeric) = 1.276925172952935 absolute error = 1.973976537783528e-13 relative error = 1.545882702913853e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.861999999999796 y2[1] (analytic) = 1.275964143164333 y2[1] (numeric) = 1.275964143164079 absolute error = 2.542410726391608e-13 relative error = 1.99254088761973e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.275964143164333 y1[1] (numeric) = 1.275964143164136 absolute error = 1.976196983832779e-13 relative error = 1.548787240158567e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.862999999999796 y2[1] (analytic) = 1.275002837411413 y2[1] (numeric) = 1.275002837411159 absolute error = 2.544631172440859e-13 relative error = 1.995784713394929e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.275002837411413 y1[1] (numeric) = 1.275002837411215 absolute error = 1.978417429882029e-13 relative error = 1.551696491827995e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.863999999999796 y2[1] (analytic) = 1.274041256655679 y2[1] (numeric) = 1.274041256655424 absolute error = 2.546851618490109e-13 relative error = 1.999033865807078e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.274041256655679 y1[1] (numeric) = 1.274041256655481 absolute error = 1.978417429882029e-13 relative error = 1.552867632462168e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.864999999999795 y2[1] (analytic) = 1.273079401858711 y2[1] (numeric) = 1.273079401858456 absolute error = 2.549072064539359e-13 relative error = 2.002288357519322e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.273079401858711 y1[1] (numeric) = 1.273079401858513 absolute error = 1.980637875931279e-13 relative error = 1.555785030407e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.865999999999795 y2[1] (analytic) = 1.272117273982364 y2[1] (numeric) = 1.272117273982108 absolute error = 2.55129251058861e-13 relative error = 2.00554820122974e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.272117273982364 y1[1] (numeric) = 1.272117273982165 absolute error = 1.98285832198053e-13 relative error = 1.558707174672026e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.866999999999795 y2[1] (analytic) = 1.271154873988765 y2[1] (numeric) = 1.27115487398851 absolute error = 2.55351295663786e-13 relative error = 2.008813409671455e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.271154873988765 y1[1] (numeric) = 1.271154873988567 absolute error = 1.98285832198053e-13 relative error = 1.559887282466617e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.867999999999795 y2[1] (analytic) = 1.270192202840315 y2[1] (numeric) = 1.270192202840059 absolute error = 2.557953848736361e-13 relative error = 2.013832113767068e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.270192202840315 y1[1] (numeric) = 1.270192202840117 absolute error = 1.98507876802978e-13 relative error = 1.562817629954652e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.868999999999795 y2[1] (analytic) = 1.269229261499685 y2[1] (numeric) = 1.269229261499429 absolute error = 2.560174294785611e-13 relative error = 2.017109416277231e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.269229261499685 y1[1] (numeric) = 1.269229261499486 absolute error = 1.98729921407903e-13 relative error = 1.565752755913376e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.869999999999795 y2[1] (analytic) = 1.268266050929816 y2[1] (numeric) = 1.268266050929559 absolute error = 2.562394740834861e-13 relative error = 2.020392124315138e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.268266050929816 y1[1] (numeric) = 1.268266050929617 absolute error = 1.989519660128281e-13 relative error = 1.568692671911927e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.870999999999795 y2[1] (analytic) = 1.267302572093918 y2[1] (numeric) = 1.267302572093661 absolute error = 2.564615186884112e-13 relative error = 2.023680250760236e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.267302572093918 y1[1] (numeric) = 1.267302572093719 absolute error = 1.991740106177531e-13 relative error = 1.571637389551456e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.871999999999795 y2[1] (analytic) = 1.26633882595547 y2[1] (numeric) = 1.266338825955213 absolute error = 2.566835632933362e-13 relative error = 2.026973808527626e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.26633882595547 y1[1] (numeric) = 1.266338825955271 absolute error = 1.993960552226781e-13 relative error = 1.574586920465232e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.872999999999795 y2[1] (analytic) = 1.265374813478219 y2[1] (numeric) = 1.265374813477962 absolute error = 2.569056078982612e-13 relative error = 2.030272810568182e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.265374813478219 y1[1] (numeric) = 1.265374813478019 absolute error = 1.996180998276031e-13 relative error = 1.577541276318752e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.873999999999794 y2[1] (analytic) = 1.264410535626176 y2[1] (numeric) = 1.264410535625919 absolute error = 2.571276525031863e-13 relative error = 2.033577269868671e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.264410535626176 y1[1] (numeric) = 1.264410535625976 absolute error = 1.996180998276031e-13 relative error = 1.578744357177837e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.874999999999794 y2[1] (analytic) = 1.263445993363619 y2[1] (numeric) = 1.263445993363362 absolute error = 2.573496971081113e-13 relative error = 2.036887199451873e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.263445993363619 y1[1] (numeric) = 1.263445993363419 absolute error = 1.998401444325282e-13 relative error = 1.581707057382818e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.875999999999794 y2[1] (analytic) = 1.262481187655091 y2[1] (numeric) = 1.262481187654834 absolute error = 2.575717417130363e-13 relative error = 2.040202612376705e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.262481187655091 y1[1] (numeric) = 1.262481187654891 absolute error = 2.000621890374532e-13 relative error = 1.584674615302941e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.876999999999794 y2[1] (analytic) = 1.261516119465398 y2[1] (numeric) = 1.26151611946514 absolute error = 2.575717417130363e-13 relative error = 2.041763380892742e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.261516119465398 y1[1] (numeric) = 1.261516119465198 absolute error = 2.000621890374532e-13 relative error = 1.58588690188307e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.877999999999794 y2[1] (analytic) = 1.260550789759606 y2[1] (numeric) = 1.260550789759349 absolute error = 2.577937863179613e-13 relative error = 2.045088451906995e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.260550789759606 y1[1] (numeric) = 1.260550789759406 absolute error = 2.002842336423782e-13 relative error = 1.588862862721886e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.878999999999794 y2[1] (analytic) = 1.259585199503047 y2[1] (numeric) = 1.259585199502789 absolute error = 2.580158309228864e-13 relative error = 2.048419043226954e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.259585199503047 y1[1] (numeric) = 1.259585199502847 absolute error = 2.005062782473033e-13 relative error = 1.591843714314922e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.879999999999794 y2[1] (analytic) = 1.25861934966131 y2[1] (numeric) = 1.258619349661052 absolute error = 2.582378755278114e-13 relative error = 2.051755168052218e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.25861934966131 y1[1] (numeric) = 1.258619349661109 absolute error = 2.005062782473033e-13 relative error = 1.593065276656193e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.880999999999794 y2[1] (analytic) = 1.257653241200245 y2[1] (numeric) = 1.257653241199986 absolute error = 2.584599201327364e-13 relative error = 2.055096839619119e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.257653241200245 y1[1] (numeric) = 1.257653241200044 absolute error = 2.007283228522283e-13 relative error = 1.59605459021966e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.881999999999794 y2[1] (analytic) = 1.256686875085959 y2[1] (numeric) = 1.256686875085701 absolute error = 2.586819647376615e-13 relative error = 2.058444071200849e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.256686875085959 y1[1] (numeric) = 1.256686875085759 absolute error = 2.007283228522283e-13 relative error = 1.597281923060573e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.882999999999794 y2[1] (analytic) = 1.255720252284821 y2[1] (numeric) = 1.255720252284562 absolute error = 2.589040093425865e-13 relative error = 2.061796876107579e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.255720252284821 y1[1] (numeric) = 1.25572025228462 absolute error = 2.009503674571533e-13 relative error = 1.600279736601509e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.883999999999793 y2[1] (analytic) = 1.254753373763451 y2[1] (numeric) = 1.254753373763192 absolute error = 2.591260539475115e-13 relative error = 2.065155267686593e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.254753373763451 y1[1] (numeric) = 1.25475337376325 absolute error = 2.011724120620784e-13 relative error = 1.603282495736121e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.884999999999793 y2[1] (analytic) = 1.253786240488729 y2[1] (numeric) = 1.253786240488469 absolute error = 2.593480985524366e-13 relative error = 2.068519259322403e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.253786240488729 y1[1] (numeric) = 1.253786240488528 absolute error = 2.011724120620784e-13 relative error = 1.604519219988097e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.885999999999793 y2[1] (analytic) = 1.252818853427787 y2[1] (numeric) = 1.252818853427528 absolute error = 2.595701431573616e-13 relative error = 2.071888864436883e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.252818853427787 y1[1] (numeric) = 1.252818853427586 absolute error = 2.011724120620784e-13 relative error = 1.605758178939107e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.886999999999793 y2[1] (analytic) = 1.251851213548013 y2[1] (numeric) = 1.251851213547753 absolute error = 2.597921877622866e-13 relative error = 2.075264096489392e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.251851213548013 y1[1] (numeric) = 1.251851213547812 absolute error = 2.013944566670034e-13 relative error = 1.608773107278529e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.887999999999793 y2[1] (analytic) = 1.250883321817047 y2[1] (numeric) = 1.250883321816787 absolute error = 2.602362769721367e-13 relative error = 2.080420071426923e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.250883321817047 y1[1] (numeric) = 1.250883321816845 absolute error = 2.018385458768535e-13 relative error = 1.613568127070881e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.888999999999793 y2[1] (analytic) = 1.249915179202779 y2[1] (numeric) = 1.249915179202519 absolute error = 2.602362769721367e-13 relative error = 2.082031495434119e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.249915179202779 y1[1] (numeric) = 1.249915179202577 absolute error = 2.018385458768535e-13 relative error = 1.61481794313107e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.889999999999793 y2[1] (analytic) = 1.248946786673353 y2[1] (numeric) = 1.248946786673093 absolute error = 2.606803661819868e-13 relative error = 2.087201544241328e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.248946786673353 y1[1] (numeric) = 1.248946786673151 absolute error = 2.020605904817785e-13 relative error = 1.617847875008184e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.890999999999793 y2[1] (analytic) = 1.247978145197162 y2[1] (numeric) = 1.247978145196901 absolute error = 2.609024107869118e-13 relative error = 2.090600799308814e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.247978145197162 y1[1] (numeric) = 1.24797814519696 absolute error = 2.020605904817785e-13 relative error = 1.619103597762571e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.891999999999793 y2[1] (analytic) = 1.247009255742845 y2[1] (numeric) = 1.247009255742584 absolute error = 2.611244553918368e-13 relative error = 2.094005751675713e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.247009255742845 y1[1] (numeric) = 1.247009255742643 absolute error = 2.022826350867035e-13 relative error = 1.622142210694366e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.892999999999792 y2[1] (analytic) = 1.246040119279294 y2[1] (numeric) = 1.246040119279033 absolute error = 2.613464999967618e-13 relative error = 2.097416415034244e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.246040119279294 y1[1] (numeric) = 1.246040119279092 absolute error = 2.025046796916286e-13 relative error = 1.625185871292464e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.893999999999792 y2[1] (analytic) = 1.245070736775644 y2[1] (numeric) = 1.245070736775382 absolute error = 2.615685446016869e-13 relative error = 2.100832803115028e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.245070736775644 y1[1] (numeric) = 1.245070736775441 absolute error = 2.025046796916286e-13 relative error = 1.626451202411635e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.894999999999792 y2[1] (analytic) = 1.244101109201277 y2[1] (numeric) = 1.244101109201015 absolute error = 2.617905892066119e-13 relative error = 2.104254929687214e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.244101109201277 y1[1] (numeric) = 1.244101109201075 absolute error = 2.027267242965536e-13 relative error = 1.629503605432084e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.895999999999792 y2[1] (analytic) = 1.243131237525822 y2[1] (numeric) = 1.24313123752556 absolute error = 2.620126338115369e-13 relative error = 2.107682808558614e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.243131237525822 y1[1] (numeric) = 1.243131237525619 absolute error = 2.029487689014786e-13 relative error = 1.632561090697096e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.896999999999792 y2[1] (analytic) = 1.242161122719149 y2[1] (numeric) = 1.242161122718887 absolute error = 2.62234678416462e-13 relative error = 2.111116453575829e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.242161122719149 y1[1] (numeric) = 1.242161122718946 absolute error = 2.029487689014786e-13 relative error = 1.633836103783495e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.897999999999792 y2[1] (analytic) = 1.241190765751374 y2[1] (numeric) = 1.241190765751111 absolute error = 2.62456723021387e-13 relative error = 2.114555878624386e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.241190765751374 y1[1] (numeric) = 1.241190765751171 absolute error = 2.031708135064036e-13 relative error = 1.636902393351364e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.898999999999792 y2[1] (analytic) = 1.240220167592853 y2[1] (numeric) = 1.24022016759259 absolute error = 2.62678767626312e-13 relative error = 2.118001097628867e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.240220167592853 y1[1] (numeric) = 1.24022016759265 absolute error = 2.033928581113287e-13 relative error = 1.639973800023705e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.899999999999792 y2[1] (analytic) = 1.239249329214185 y2[1] (numeric) = 1.239249329213922 absolute error = 2.629008122312371e-13 relative error = 2.121452124553047e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.239249329214185 y1[1] (numeric) = 1.239249329213981 absolute error = 2.036149027162537e-13 relative error = 1.643050336330358e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.900999999999792 y2[1] (analytic) = 1.238278251586207 y2[1] (numeric) = 1.238278251585944 absolute error = 2.631228568361621e-13 relative error = 2.124908973400022e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.238278251586207 y1[1] (numeric) = 1.238278251586003 absolute error = 2.038369473211787e-13 relative error = 1.646132014836473e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.901999999999791 y2[1] (analytic) = 1.237306935679997 y2[1] (numeric) = 1.237306935679734 absolute error = 2.633449014410871e-13 relative error = 2.128371658212345e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.237306935679997 y1[1] (numeric) = 1.237306935679793 absolute error = 2.040589919261038e-13 relative error = 1.649218848142618e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.902999999999791 y2[1] (analytic) = 1.236335382466872 y2[1] (numeric) = 1.236335382466609 absolute error = 2.635669460460122e-13 relative error = 2.131840193072162e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.236335382466872 y1[1] (numeric) = 1.236335382466668 absolute error = 2.042810365310288e-13 relative error = 1.65231084888491e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.903999999999791 y2[1] (analytic) = 1.235363592918384 y2[1] (numeric) = 1.23536359291812 absolute error = 2.637889906509372e-13 relative error = 2.135314592101346e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.235363592918384 y1[1] (numeric) = 1.23536359291818 absolute error = 2.042810365310288e-13 relative error = 1.65361062687983e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.904999999999791 y2[1] (analytic) = 1.234391568006323 y2[1] (numeric) = 1.234391568006058 absolute error = 2.642330798607873e-13 relative error = 2.140593687686579e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.234391568006323 y1[1] (numeric) = 1.234391568006118 absolute error = 2.045030811359538e-13 relative error = 1.656711585175915e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.905999999999791 y2[1] (analytic) = 1.233419308702713 y2[1] (numeric) = 1.233419308702448 absolute error = 2.644551244657123e-13 relative error = 2.144081275522281e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.233419308702713 y1[1] (numeric) = 1.233419308702508 absolute error = 2.047251257408789e-13 relative error = 1.659817746458055e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.906999999999791 y2[1] (analytic) = 1.232446815979813 y2[1] (numeric) = 1.232446815979549 absolute error = 2.644551244657123e-13 relative error = 2.145773116022589e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.232446815979813 y1[1] (numeric) = 1.232446815979609 absolute error = 2.047251257408789e-13 relative error = 1.661127466811778e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.907999999999791 y2[1] (analytic) = 1.231474090810118 y2[1] (numeric) = 1.231474090809853 absolute error = 2.648992136755624e-13 relative error = 2.151074193540686e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.231474090810118 y1[1] (numeric) = 1.231474090809913 absolute error = 2.049471703458039e-13 relative error = 1.664242649319407e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.908999999999791 y2[1] (analytic) = 1.230501134166351 y2[1] (numeric) = 1.230501134166085 absolute error = 2.651212582804874e-13 relative error = 2.154579552339087e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.230501134166351 y1[1] (numeric) = 1.230501134166145 absolute error = 2.051692149507289e-13 relative error = 1.667363070654368e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.909999999999791 y2[1] (analytic) = 1.229527947021468 y2[1] (numeric) = 1.229527947021203 absolute error = 2.651212582804874e-13 relative error = 2.156284929697968e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.229527947021468 y1[1] (numeric) = 1.229527947021263 absolute error = 2.051692149507289e-13 relative error = 1.668682809917021e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91099999999979 y2[1] (analytic) = 1.228554530348658 y2[1] (numeric) = 1.228554530348393 absolute error = 2.653433028854124e-13 relative error = 2.159800776690874e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.228554530348658 y1[1] (numeric) = 1.228554530348453 absolute error = 2.05391259555654e-13 relative error = 1.671812316685405e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91199999999979 y2[1] (analytic) = 1.227580885121337 y2[1] (numeric) = 1.227580885121071 absolute error = 2.655653474903374e-13 relative error = 2.163322602274704e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.227580885121337 y1[1] (numeric) = 1.227580885121131 absolute error = 2.05613304160579e-13 relative error = 1.674947098416703e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91299999999979 y2[1] (analytic) = 1.226607012313149 y2[1] (numeric) = 1.226607012312883 absolute error = 2.657873920952625e-13 relative error = 2.166850420935045e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.226607012313149 y1[1] (numeric) = 1.226607012312943 absolute error = 2.05835348765504e-13 relative error = 1.678087168092554e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91399999999979 y2[1] (analytic) = 1.225632912897968 y2[1] (numeric) = 1.225632912897702 absolute error = 2.660094367001875e-13 relative error = 2.170384247198593e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.225632912897968 y1[1] (numeric) = 1.225632912897762 absolute error = 2.060573933704291e-13 relative error = 1.681232538731465e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91499999999979 y2[1] (analytic) = 1.224658587849893 y2[1] (numeric) = 1.224658587849627 absolute error = 2.664535259100376e-13 relative error = 2.17573720997494e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.224658587849893 y1[1] (numeric) = 1.224658587849687 absolute error = 2.065014825802791e-13 relative error = 1.686196337730578e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91599999999979 y2[1] (analytic) = 1.223684038143249 y2[1] (numeric) = 1.223684038142982 absolute error = 2.664535259100376e-13 relative error = 2.177469980848485e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.223684038143249 y1[1] (numeric) = 1.223684038143042 absolute error = 2.065014825802791e-13 relative error = 1.687539235157576e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91699999999979 y2[1] (analytic) = 1.222709264752585 y2[1] (numeric) = 1.222709264752318 absolute error = 2.668976151198876e-13 relative error = 2.182837922422174e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.222709264752585 y1[1] (numeric) = 1.222709264752378 absolute error = 2.069455717901292e-13 relative error = 1.692516592094398e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91799999999979 y2[1] (analytic) = 1.221734268652675 y2[1] (numeric) = 1.221734268652408 absolute error = 2.668976151198876e-13 relative error = 2.184579920265489e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.221734268652675 y1[1] (numeric) = 1.221734268652468 absolute error = 2.069455717901292e-13 relative error = 1.693867292585221e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91899999999979 y2[1] (analytic) = 1.220759050818515 y2[1] (numeric) = 1.220759050818248 absolute error = 2.673417043297377e-13 relative error = 2.189962909965615e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.220759050818515 y1[1] (numeric) = 1.220759050818308 absolute error = 2.071676163950542e-13 relative error = 1.697039364616212e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.919999999999789 y2[1] (analytic) = 1.219783612225322 y2[1] (numeric) = 1.219783612225055 absolute error = 2.675637489346627e-13 relative error = 2.193534543774781e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.219783612225322 y1[1] (numeric) = 1.219783612225115 absolute error = 2.071676163950542e-13 relative error = 1.69839645588537e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.920999999999789 y2[1] (analytic) = 1.218807953848536 y2[1] (numeric) = 1.218807953848268 absolute error = 2.677857935395878e-13 relative error = 2.197112290693716e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.218807953848536 y1[1] (numeric) = 1.218807953848329 absolute error = 2.073896609999792e-13 relative error = 1.701577843704752e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.921999999999789 y2[1] (analytic) = 1.217832076663814 y2[1] (numeric) = 1.217832076663546 absolute error = 2.680078381445128e-13 relative error = 2.200696165588823e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.217832076663814 y1[1] (numeric) = 1.217832076663606 absolute error = 2.073896609999792e-13 relative error = 1.702941357630456e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.922999999999789 y2[1] (analytic) = 1.216855981647033 y2[1] (numeric) = 1.216855981646765 absolute error = 2.682298827494378e-13 relative error = 2.204286183368919e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.216855981647033 y1[1] (numeric) = 1.216855981646826 absolute error = 2.076117056049043e-13 relative error = 1.706132103849288e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.923999999999789 y2[1] (analytic) = 1.215879669774289 y2[1] (numeric) = 1.215879669774021 absolute error = 2.684519273543629e-13 relative error = 2.207882358985385e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.215879669774289 y1[1] (numeric) = 1.215879669774081 absolute error = 2.078337502098293e-13 relative error = 1.709328277924169e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.924999999999789 y2[1] (analytic) = 1.214903142021893 y2[1] (numeric) = 1.214903142021625 absolute error = 2.686739719592879e-13 relative error = 2.211484707432308e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.214903142021893 y1[1] (numeric) = 1.214903142021685 absolute error = 2.080557948147543e-13 relative error = 1.712529893276093e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.925999999999789 y2[1] (analytic) = 1.213926399366373 y2[1] (numeric) = 1.213926399366104 absolute error = 2.688960165642129e-13 relative error = 2.215093243746632e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.213926399366373 y1[1] (numeric) = 1.213926399366165 absolute error = 2.082778394196794e-13 relative error = 1.715736963364443e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.926999999999789 y2[1] (analytic) = 1.212949442784472 y2[1] (numeric) = 1.212949442784202 absolute error = 2.691180611691379e-13 relative error = 2.218707983008302e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.212949442784472 y1[1] (numeric) = 1.212949442784263 absolute error = 2.084998840246044e-13 relative error = 1.718949501687125e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.927999999999789 y2[1] (analytic) = 1.211972273253145 y2[1] (numeric) = 1.211972273252876 absolute error = 2.691180611691379e-13 relative error = 2.220496847232141e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.211972273253145 y1[1] (numeric) = 1.211972273252936 absolute error = 2.084998840246044e-13 relative error = 1.720335428672427e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.928999999999788 y2[1] (analytic) = 1.210994891749563 y2[1] (numeric) = 1.210994891749293 absolute error = 2.69340105774063e-13 relative error = 2.224122559137626e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.210994891749563 y1[1] (numeric) = 1.210994891749354 absolute error = 2.084998840246044e-13 relative error = 1.721723893677025e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.929999999999788 y2[1] (analytic) = 1.210017299251106 y2[1] (numeric) = 1.210017299250837 absolute error = 2.69562150378988e-13 relative error = 2.227754516781067e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.210017299251106 y1[1] (numeric) = 1.210017299250898 absolute error = 2.087219286295294e-13 relative error = 1.724949955332951e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.930999999999788 y2[1] (analytic) = 1.209039496735368 y2[1] (numeric) = 1.209039496735098 absolute error = 2.69784194983913e-13 relative error = 2.231392735410056e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.209039496735368 y1[1] (numeric) = 1.209039496735159 absolute error = 2.089439732344545e-13 relative error = 1.728181534173549e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.931999999999788 y2[1] (analytic) = 1.208061485180151 y2[1] (numeric) = 1.208061485179881 absolute error = 2.700062395888381e-13 relative error = 2.23503723031592e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.208061485180151 y1[1] (numeric) = 1.208061485179942 absolute error = 2.091660178393795e-13 relative error = 1.731418643879602e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.932999999999788 y2[1] (analytic) = 1.207083265563465 y2[1] (numeric) = 1.207083265563195 absolute error = 2.700062395888381e-13 relative error = 2.236848503262113e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.207083265563465 y1[1] (numeric) = 1.207083265563256 absolute error = 2.091660178393795e-13 relative error = 1.732821784599433e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.933999999999788 y2[1] (analytic) = 1.206104838863532 y2[1] (numeric) = 1.206104838863262 absolute error = 2.702282841937631e-13 relative error = 2.240504104505453e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.206104838863532 y1[1] (numeric) = 1.206104838863322 absolute error = 2.093880624443045e-13 relative error = 1.736068504970125e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.934999999999788 y2[1] (analytic) = 1.205126206058776 y2[1] (numeric) = 1.205126206058506 absolute error = 2.702282841937631e-13 relative error = 2.242323524583479e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.205126206058776 y1[1] (numeric) = 1.205126206058567 absolute error = 2.093880624443045e-13 relative error = 1.737478293904865e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.935999999999788 y2[1] (analytic) = 1.204147368127832 y2[1] (numeric) = 1.204147368127562 absolute error = 2.706723734036132e-13 relative error = 2.247834281483714e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.204147368127832 y1[1] (numeric) = 1.204147368127623 absolute error = 2.096101070492296e-13 relative error = 1.740734669171966e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.936999999999788 y2[1] (analytic) = 1.203168326049537 y2[1] (numeric) = 1.203168326049266 absolute error = 2.708944180085382e-13 relative error = 2.251508888186813e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.203168326049537 y1[1] (numeric) = 1.203168326049327 absolute error = 2.098321516541546e-13 relative error = 1.743996638800441e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.937999999999787 y2[1] (analytic) = 1.202189080802932 y2[1] (numeric) = 1.202189080802661 absolute error = 2.708944180085382e-13 relative error = 2.253342858742404e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.202189080802932 y1[1] (numeric) = 1.202189080802722 absolute error = 2.098321516541546e-13 relative error = 1.745417214353747e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.938999999999787 y2[1] (analytic) = 1.201209633367264 y2[1] (numeric) = 1.201209633366993 absolute error = 2.711164626134632e-13 relative error = 2.257028707416058e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.201209633367264 y1[1] (numeric) = 1.201209633367054 absolute error = 2.100541962590796e-13 relative error = 1.748688908448477e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.939999999999787 y2[1] (analytic) = 1.200229984721979 y2[1] (numeric) = 1.200229984721707 absolute error = 2.713385072183883e-13 relative error = 2.260720950753793e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.200229984721979 y1[1] (numeric) = 1.200229984721769 absolute error = 2.100541962590796e-13 relative error = 1.750116218832314e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.940999999999787 y2[1] (analytic) = 1.199250135846726 y2[1] (numeric) = 1.199250135846454 absolute error = 2.715605518233133e-13 relative error = 2.264419604435392e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.199250135846726 y1[1] (numeric) = 1.199250135846516 absolute error = 2.102762408640046e-13 relative error = 1.753397682257004e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.941999999999787 y2[1] (analytic) = 1.198270087721353 y2[1] (numeric) = 1.198270087721082 absolute error = 2.717825964282383e-13 relative error = 2.268124684185881e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.198270087721353 y1[1] (numeric) = 1.198270087721143 absolute error = 2.104982854689297e-13 relative error = 1.756684804418477e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.942999999999787 y2[1] (analytic) = 1.19728984132591 y2[1] (numeric) = 1.197289841325638 absolute error = 2.722266856380884e-13 relative error = 2.27369076594367e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.19728984132591 y1[1] (numeric) = 1.197289841325699 absolute error = 2.107203300738547e-13 relative error = 1.759977599413167e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.943999999999787 y2[1] (analytic) = 1.196309397640642 y2[1] (numeric) = 1.196309397640369 absolute error = 2.724487302430134e-13 relative error = 2.277410265106469e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.196309397640642 y1[1] (numeric) = 1.196309397640431 absolute error = 2.107203300738547e-13 relative error = 1.761420001292616e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.944999999999787 y2[1] (analytic) = 1.195328757645992 y2[1] (numeric) = 1.195328757645719 absolute error = 2.726707748479384e-13 relative error = 2.281136240584722e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.195328757645992 y1[1] (numeric) = 1.195328757645781 absolute error = 2.109423746787797e-13 relative error = 1.764722661690135e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.945999999999787 y2[1] (analytic) = 1.194347922322601 y2[1] (numeric) = 1.194347922322328 absolute error = 2.731148640577885e-13 relative error = 2.286727836614584e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.194347922322601 y1[1] (numeric) = 1.19434792232239 absolute error = 2.111644192837048e-13 relative error = 1.768031034650788e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.946999999999786 y2[1] (analytic) = 1.193366892651304 y2[1] (numeric) = 1.193366892651031 absolute error = 2.731148640577885e-13 relative error = 2.288607684188465e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.193366892651304 y1[1] (numeric) = 1.193366892651093 absolute error = 2.111644192837048e-13 relative error = 1.769484477774984e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.947999999999786 y2[1] (analytic) = 1.19238566961313 y2[1] (numeric) = 1.192385669612857 absolute error = 2.735589532676386e-13 relative error = 2.29421537208171e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.19238566961313 y1[1] (numeric) = 1.192385669612919 absolute error = 2.113864638886298e-13 relative error = 1.772802787517685e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.948999999999786 y2[1] (analytic) = 1.191404254189303 y2[1] (numeric) = 1.191404254189029 absolute error = 2.735589532676386e-13 relative error = 2.296105224618181e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.191404254189303 y1[1] (numeric) = 1.191404254189091 absolute error = 2.113864638886298e-13 relative error = 1.774263128114049e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.949999999999786 y2[1] (analytic) = 1.190422647361237 y2[1] (numeric) = 1.190422647360963 absolute error = 2.737809978725636e-13 relative error = 2.299863821302821e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.190422647361237 y1[1] (numeric) = 1.190422647361026 absolute error = 2.116085084935548e-13 relative error = 1.777591420682554e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.950999999999786 y2[1] (analytic) = 1.18944085011054 y2[1] (numeric) = 1.189440850110266 absolute error = 2.742250870824137e-13 relative error = 2.305495788688682e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.18944085011054 y1[1] (numeric) = 1.189440850110328 absolute error = 2.118305530984799e-13 relative error = 1.780925491829152e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.951999999999786 y2[1] (analytic) = 1.188458863419009 y2[1] (numeric) = 1.188458863418735 absolute error = 2.742250870824137e-13 relative error = 2.30740074833984e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.188458863419009 y1[1] (numeric) = 1.188458863418797 absolute error = 2.118305530984799e-13 relative error = 1.782397015316767e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.952999999999786 y2[1] (analytic) = 1.18747668826863 y2[1] (numeric) = 1.187476688268355 absolute error = 2.746691762922637e-13 relative error = 2.313048997136425e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.18747668826863 y1[1] (numeric) = 1.187476688268418 absolute error = 2.120525977034049e-13 relative error = 1.78574114168576e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.953999999999786 y2[1] (analytic) = 1.186494325641578 y2[1] (numeric) = 1.186494325641303 absolute error = 2.748912208971888e-13 relative error = 2.316835529310649e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.186494325641578 y1[1] (numeric) = 1.186494325641366 absolute error = 2.120525977034049e-13 relative error = 1.787219653062738e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.954999999999786 y2[1] (analytic) = 1.185511776520216 y2[1] (numeric) = 1.185511776519941 absolute error = 2.751132655021138e-13 relative error = 2.320628701889764e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.185511776520216 y1[1] (numeric) = 1.185511776520004 absolute error = 2.122746423083299e-13 relative error = 1.790573881361271e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.955999999999785 y2[1] (analytic) = 1.184529041887093 y2[1] (numeric) = 1.184529041886818 absolute error = 2.751132655021138e-13 relative error = 2.322553992123538e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.184529041887093 y1[1] (numeric) = 1.184529041886881 absolute error = 2.122746423083299e-13 relative error = 1.792059416037209e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.956999999999785 y2[1] (analytic) = 1.183546122724944 y2[1] (numeric) = 1.183546122724669 absolute error = 2.753353101070388e-13 relative error = 2.32635893794421e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.183546122724944 y1[1] (numeric) = 1.183546122724731 absolute error = 2.12496686913255e-13 relative error = 1.795423793235975e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.957999999999785 y2[1] (analytic) = 1.182563020016687 y2[1] (numeric) = 1.182563020016412 absolute error = 2.755573547119639e-13 relative error = 2.330170570597375e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.182563020016687 y1[1] (numeric) = 1.182563020016475 absolute error = 2.1271873151818e-13 relative error = 1.798794042411188e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.958999999999785 y2[1] (analytic) = 1.181579734745426 y2[1] (numeric) = 1.18157973474515 absolute error = 2.757793993168889e-13 relative error = 2.333988906608205e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.181579734745426 y1[1] (numeric) = 1.181579734745213 absolute error = 2.1271873151818e-13 relative error = 1.800290960169614e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.959999999999785 y2[1] (analytic) = 1.180596267894444 y2[1] (numeric) = 1.180596267894168 absolute error = 2.760014439218139e-13 relative error = 2.337813962550073e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.180596267894444 y1[1] (numeric) = 1.180596267894231 absolute error = 2.12940776123105e-13 relative error = 1.80367143208811e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.960999999999785 y2[1] (analytic) = 1.17961262044721 y2[1] (numeric) = 1.179612620446934 absolute error = 2.760014439218139e-13 relative error = 2.339763403151598e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.17961262044721 y1[1] (numeric) = 1.179612620446997 absolute error = 2.12940776123105e-13 relative error = 1.805175465504733e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.961999999999785 y2[1] (analytic) = 1.178628793387371 y2[1] (numeric) = 1.178628793387094 absolute error = 2.762234885267389e-13 relative error = 2.343600377629284e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.178628793387371 y1[1] (numeric) = 1.178628793387158 absolute error = 2.131628207280301e-13 relative error = 1.808566207816811e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.962999999999785 y2[1] (analytic) = 1.177644787698753 y2[1] (numeric) = 1.177644787698476 absolute error = 2.76445533131664e-13 relative error = 2.347444119137732e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.177644787698753 y1[1] (numeric) = 1.177644787698539 absolute error = 2.131628207280301e-13 relative error = 1.810077393070058e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.963999999999785 y2[1] (analytic) = 1.176660604365362 y2[1] (numeric) = 1.176660604365085 absolute error = 2.76889622341514e-13 relative error = 2.353181718791851e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.176660604365362 y1[1] (numeric) = 1.176660604365148 absolute error = 2.133848653329551e-13 relative error = 1.813478453696046e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.964999999999784 y2[1] (analytic) = 1.175676244371381 y2[1] (numeric) = 1.175676244371104 absolute error = 2.76889622341514e-13 relative error = 2.35515197034166e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.175676244371381 y1[1] (numeric) = 1.175676244371168 absolute error = 2.133848653329551e-13 relative error = 1.814996827183909e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.965999999999784 y2[1] (analytic) = 1.174691708701171 y2[1] (numeric) = 1.174691708700894 absolute error = 2.771116669464391e-13 relative error = 2.359016113707272e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.174691708701171 y1[1] (numeric) = 1.174691708700957 absolute error = 2.136069099378801e-13 relative error = 1.818408254316022e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.966999999999784 y2[1] (analytic) = 1.173706998339266 y2[1] (numeric) = 1.173706998338989 absolute error = 2.773337115513641e-13 relative error = 2.362887091444259e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.173706998339266 y1[1] (numeric) = 1.173706998339053 absolute error = 2.136069099378801e-13 relative error = 1.819933852657628e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.967999999999784 y2[1] (analytic) = 1.172722114270378 y2[1] (numeric) = 1.1727221142701 absolute error = 2.777778007612142e-13 relative error = 2.368658332447638e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.172722114270378 y1[1] (numeric) = 1.172722114270164 absolute error = 2.138289545428051e-13 relative error = 1.823355694761851e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.968999999999784 y2[1] (analytic) = 1.17173705747939 y2[1] (numeric) = 1.171737057479112 absolute error = 2.777778007612142e-13 relative error = 2.370649617916519e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.17173705747939 y1[1] (numeric) = 1.171737057479176 absolute error = 2.138289545428051e-13 relative error = 1.824888554799047e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.969999999999784 y2[1] (analytic) = 1.170751828951358 y2[1] (numeric) = 1.17075182895108 absolute error = 2.779998453661392e-13 relative error = 2.374541200718375e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.170751828951358 y1[1] (numeric) = 1.170751828951144 absolute error = 2.140509991477302e-13 relative error = 1.828320860617024e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.970999999999784 y2[1] (analytic) = 1.169766429671512 y2[1] (numeric) = 1.169766429671234 absolute error = 2.782218899710642e-13 relative error = 2.378439686025124e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.169766429671512 y1[1] (numeric) = 1.169766429671298 absolute error = 2.142730437526552e-13 relative error = 1.83175921549421e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.971999999999784 y2[1] (analytic) = 1.168780860625251 y2[1] (numeric) = 1.168780860624972 absolute error = 2.786659791809143e-13 relative error = 2.384244887718637e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.168780860625251 y1[1] (numeric) = 1.168780860625036 absolute error = 2.144950883575802e-13 relative error = 1.835203634690202e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.972999999999784 y2[1] (analytic) = 1.167795122798142 y2[1] (numeric) = 1.167795122797864 absolute error = 2.786659791809143e-13 relative error = 2.386257432838095e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.167795122798142 y1[1] (numeric) = 1.167795122797928 absolute error = 2.144950883575802e-13 relative error = 1.836752733164621e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.973999999999783 y2[1] (analytic) = 1.166809217175925 y2[1] (numeric) = 1.166809217175647 absolute error = 2.788880237858393e-13 relative error = 2.390176728812985e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.166809217175925 y1[1] (numeric) = 1.166809217175711 absolute error = 2.147171329625053e-13 relative error = 1.840207720352035e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.974999999999783 y2[1] (analytic) = 1.165823144744505 y2[1] (numeric) = 1.165823144744226 absolute error = 2.793321129956894e-13 relative error = 2.396007612774801e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.165823144744505 y1[1] (numeric) = 1.16582314474429 absolute error = 2.149391775674303e-13 relative error = 1.843668814917335e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.975999999999783 y2[1] (analytic) = 1.164836906489954 y2[1] (numeric) = 1.164836906489675 absolute error = 2.793321129956894e-13 relative error = 2.398036252451952e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.164836906489954 y1[1] (numeric) = 1.164836906489739 absolute error = 2.149391775674303e-13 relative error = 1.845229803158577e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.976999999999783 y2[1] (analytic) = 1.16385050339851 y2[1] (numeric) = 1.16385050339823 absolute error = 2.795541576006144e-13 relative error = 2.401976514890016e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.16385050339851 y1[1] (numeric) = 1.163850503398295 absolute error = 2.151612221723553e-13 relative error = 1.848701543231474e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.977999999999783 y2[1] (analytic) = 1.162863936456576 y2[1] (numeric) = 1.162863936456296 absolute error = 2.799982468104645e-13 relative error = 2.407833264342704e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.162863936456576 y1[1] (numeric) = 1.162863936456361 absolute error = 2.153832667772804e-13 relative error = 1.852179434109772e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.978999999999783 y2[1] (analytic) = 1.16187720665072 y2[1] (numeric) = 1.16187720665044 absolute error = 2.802202914153895e-13 relative error = 2.411789213278099e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.16187720665072 y1[1] (numeric) = 1.161877206650504 absolute error = 2.156053113822054e-13 relative error = 1.855663491357396e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.979999999999783 y2[1] (analytic) = 1.16089031496767 y2[1] (numeric) = 1.16089031496739 absolute error = 2.804423360203145e-13 relative error = 2.415752223999945e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.16089031496767 y1[1] (numeric) = 1.160890314967455 absolute error = 2.156053113822054e-13 relative error = 1.857241020984914e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.980999999999783 y2[1] (analytic) = 1.159903262394319 y2[1] (numeric) = 1.159903262394038 absolute error = 2.806643806252396e-13 relative error = 2.419722314134033e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.159903262394319 y1[1] (numeric) = 1.159903262394103 absolute error = 2.158273559871304e-13 relative error = 1.86073583017269e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.981999999999783 y2[1] (analytic) = 1.158916049917718 y2[1] (numeric) = 1.158916049917438 absolute error = 2.808864252301646e-13 relative error = 2.423699501358249e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.158916049917718 y1[1] (numeric) = 1.158916049917502 absolute error = 2.160494005920555e-13 relative error = 1.864236849661325e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.982999999999782 y2[1] (analytic) = 1.157928678525081 y2[1] (numeric) = 1.1579286785248 absolute error = 2.811084698350896e-13 relative error = 2.427683803402756e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.157928678525081 y1[1] (numeric) = 1.157928678524865 absolute error = 2.160494005920555e-13 relative error = 1.865826493452513e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.983999999999782 y2[1] (analytic) = 1.156941149203779 y2[1] (numeric) = 1.156941149203498 absolute error = 2.813305144400147e-13 relative error = 2.431675238050179e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.156941149203779 y1[1] (numeric) = 1.156941149203563 absolute error = 2.162714451969805e-13 relative error = 1.869338344010161e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.984999999999782 y2[1] (analytic) = 1.15595346294134 y2[1] (numeric) = 1.155953462941059 absolute error = 2.815525590449397e-13 relative error = 2.435673823135796e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.15595346294134 y1[1] (numeric) = 1.155953462941124 absolute error = 2.164934898019055e-13 relative error = 1.872856449177761e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.985999999999782 y2[1] (analytic) = 1.154965620725452 y2[1] (numeric) = 1.15496562072517 absolute error = 2.817746036498647e-13 relative error = 2.439679576547722e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.154965620725452 y1[1] (numeric) = 1.154965620725235 absolute error = 2.167155344068306e-13 relative error = 1.876380824831029e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.986999999999782 y2[1] (analytic) = 1.153977623543956 y2[1] (numeric) = 1.153977623543674 absolute error = 2.819966482547898e-13 relative error = 2.4436925162271e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.153977623543956 y1[1] (numeric) = 1.153977623543739 absolute error = 2.167155344068306e-13 relative error = 1.877987319557204e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.987999999999782 y2[1] (analytic) = 1.152989472384849 y2[1] (numeric) = 1.152989472384566 absolute error = 2.822186928597148e-13 relative error = 2.447712660168287e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.152989472384849 y1[1] (numeric) = 1.152989472384632 absolute error = 2.169375790117556e-13 relative error = 1.881522634920863e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.988999999999782 y2[1] (analytic) = 1.152001168236282 y2[1] (numeric) = 1.152001168236 absolute error = 2.824407374646398e-13 relative error = 2.45174002641905e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.152001168236282 y1[1] (numeric) = 1.152001168236065 absolute error = 2.171596236166806e-13 relative error = 1.885064265595779e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.989999999999782 y2[1] (analytic) = 1.15101271208656 y2[1] (numeric) = 1.151012712086277 absolute error = 2.826627820695649e-13 relative error = 2.455774633080748e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.15101271208656 y1[1] (numeric) = 1.151012712086342 absolute error = 2.173816682216057e-13 relative error = 1.888612227640261e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.990999999999782 y2[1] (analytic) = 1.150024104924138 y2[1] (numeric) = 1.150024104923855 absolute error = 2.828848266744899e-13 relative error = 2.459816498308533e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.150024104924138 y1[1] (numeric) = 1.150024104923921 absolute error = 2.176037128265307e-13 relative error = 1.89216653716041e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.991999999999782 y2[1] (analytic) = 1.149035347737624 y2[1] (numeric) = 1.149035347737341 absolute error = 2.831068712794149e-13 relative error = 2.463865640311536e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.149035347737624 y1[1] (numeric) = 1.149035347737406 absolute error = 2.178257574314557e-13 relative error = 1.895727210310287e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.992999999999781 y2[1] (analytic) = 1.148046441515775 y2[1] (numeric) = 1.148046441515491 absolute error = 2.833289158843399e-13 relative error = 2.467922077353061e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.148046441515775 y1[1] (numeric) = 1.148046441515557 absolute error = 2.178257574314557e-13 relative error = 1.897360155080997e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.993999999999781 y2[1] (analytic) = 1.147057387247496 y2[1] (numeric) = 1.147057387247212 absolute error = 2.83550960489265e-13 relative error = 2.471985827750782e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.147057387247496 y1[1] (numeric) = 1.147057387247278 absolute error = 2.178257574314557e-13 relative error = 1.898996160550914e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.994999999999781 y2[1] (analytic) = 1.146068185921842 y2[1] (numeric) = 1.146068185921558 absolute error = 2.8377300509419e-13 relative error = 2.476056909876934e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.146068185921842 y1[1] (numeric) = 1.146068185921624 absolute error = 2.180478020363807e-13 relative error = 1.902572680359272e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.995999999999781 y2[1] (analytic) = 1.145078838528015 y2[1] (numeric) = 1.145078838527731 absolute error = 2.83995049699115e-13 relative error = 2.480135342158513e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.145078838528015 y1[1] (numeric) = 1.145078838527797 absolute error = 2.182698466413058e-13 relative error = 1.906155622628474e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.996999999999781 y2[1] (analytic) = 1.144089346055361 y2[1] (numeric) = 1.144089346055077 absolute error = 2.844391389089651e-13 relative error = 2.486161940845496e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.144089346055361 y1[1] (numeric) = 1.144089346055143 absolute error = 2.184918912462308e-13 relative error = 1.909745003740803e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.997999999999781 y2[1] (analytic) = 1.143099709493373 y2[1] (numeric) = 1.143099709493089 absolute error = 2.846611835138901e-13 relative error = 2.49025680918118e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.143099709493373 y1[1] (numeric) = 1.143099709493155 absolute error = 2.184918912462308e-13 relative error = 1.911398362117224e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.998999999999781 y2[1] (analytic) = 1.142109929831688 y2[1] (numeric) = 1.142109929831403 absolute error = 2.848832281188152e-13 relative error = 2.494359086439238e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.142109929831688 y1[1] (numeric) = 1.142109929831469 absolute error = 2.187139358511558e-13 relative error = 1.91499898686099e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.999999999999781 y2[1] (analytic) = 1.141120008060085 y2[1] (numeric) = 1.141120008059799 absolute error = 2.851052727237402e-13 relative error = 2.498468791274829e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.141120008060085 y1[1] (numeric) = 1.141120008059866 absolute error = 2.189359804560809e-13 relative error = 1.918606096726621e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.000999999999781 y2[1] (analytic) = 1.140129945168485 y2[1] (numeric) = 1.140129945168199 absolute error = 2.853273173286652e-13 relative error = 2.502585942398877e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.140129945168485 y1[1] (numeric) = 1.140129945168266 absolute error = 2.189359804560809e-13 relative error = 1.920272170587776e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00199999999978 y2[1] (analytic) = 1.139139742146952 y2[1] (numeric) = 1.139139742146666 absolute error = 2.855493619335903e-13 relative error = 2.50671055857828e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.139139742146952 y1[1] (numeric) = 1.139139742146732 absolute error = 2.191580250610059e-13 relative error = 1.923890607555803e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00299999999978 y2[1] (analytic) = 1.138149399985688 y2[1] (numeric) = 1.138149399985402 absolute error = 2.857714065385153e-13 relative error = 2.510842658636106e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.138149399985688 y1[1] (numeric) = 1.138149399985469 absolute error = 2.191580250610059e-13 relative error = 1.925564649630021e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00399999999978 y2[1] (analytic) = 1.137158919675036 y2[1] (numeric) = 1.13715891967475 absolute error = 2.859934511434403e-13 relative error = 2.514982261451797e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.137158919675036 y1[1] (numeric) = 1.137158919674816 absolute error = 2.193800696659309e-13 relative error = 1.929194467635385e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00499999999978 y2[1] (analytic) = 1.136168302205475 y2[1] (numeric) = 1.136168302205189 absolute error = 2.859934511434403e-13 relative error = 2.517175057500581e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.136168302205475 y1[1] (numeric) = 1.136168302205256 absolute error = 2.193800696659309e-13 relative error = 1.930876519262868e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00599999999978 y2[1] (analytic) = 1.135177548567624 y2[1] (numeric) = 1.135177548567337 absolute error = 2.862154957483654e-13 relative error = 2.521328017009449e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.135177548567624 y1[1] (numeric) = 1.135177548567404 absolute error = 2.19602114270856e-13 relative error = 1.934517772554185e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00699999999978 y2[1] (analytic) = 1.134186659752235 y2[1] (numeric) = 1.134186659751949 absolute error = 2.864375403532904e-13 relative error = 2.525488533041494e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.134186659752235 y1[1] (numeric) = 1.134186659752015 absolute error = 2.19602114270856e-13 relative error = 1.936207875331812e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00799999999978 y2[1] (analytic) = 1.133195636750198 y2[1] (numeric) = 1.133195636749911 absolute error = 2.866595849582154e-13 relative error = 2.529656624696366e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.133195636750198 y1[1] (numeric) = 1.133195636749978 absolute error = 2.19824158875781e-13 relative error = 1.939860618473588e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00899999999978 y2[1] (analytic) = 1.132204480552535 y2[1] (numeric) = 1.132204480552248 absolute error = 2.868816295631405e-13 relative error = 2.533832311131089e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.132204480552535 y1[1] (numeric) = 1.132204480552315 absolute error = 2.20046203480706e-13 relative error = 1.943519984776246e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00999999999978 y2[1] (analytic) = 1.131213192150403 y2[1] (numeric) = 1.131213192150116 absolute error = 2.868816295631405e-13 relative error = 2.536052722456207e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.131213192150403 y1[1] (numeric) = 1.131213192150182 absolute error = 2.20046203480706e-13 relative error = 1.945223102131657e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.010999999999779 y2[1] (analytic) = 1.130221772535089 y2[1] (numeric) = 1.130221772534802 absolute error = 2.871036741680655e-13 relative error = 2.540241934324903e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.130221772535089 y1[1] (numeric) = 1.130221772534869 absolute error = 2.202682480856311e-13 relative error = 1.948894043967752e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.011999999999779 y2[1] (analytic) = 1.129230222698014 y2[1] (numeric) = 1.129230222697726 absolute error = 2.875477633779155e-13 relative error = 2.546405131549632e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.129230222698014 y1[1] (numeric) = 1.129230222697793 absolute error = 2.204902926905561e-13 relative error = 1.952571656856204e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.012999999999779 y2[1] (analytic) = 1.128238543630727 y2[1] (numeric) = 1.128238543630439 absolute error = 2.877698079828406e-13 relative error = 2.550611389828815e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.128238543630727 y1[1] (numeric) = 1.128238543630506 absolute error = 2.204902926905561e-13 relative error = 1.954287893595689e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.013999999999779 y2[1] (analytic) = 1.127246736324906 y2[1] (numeric) = 1.127246736324618 absolute error = 2.879918525877656e-13 relative error = 2.554825339540905e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.127246736324906 y1[1] (numeric) = 1.127246736324686 absolute error = 2.207123372954811e-13 relative error = 1.957977168468512e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.014999999999779 y2[1] (analytic) = 1.12625480177236 y2[1] (numeric) = 1.126254801772072 absolute error = 2.882138971926906e-13 relative error = 2.559047000191567e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.12625480177236 y1[1] (numeric) = 1.12625480177214 absolute error = 2.207123372954811e-13 relative error = 1.959701631887841e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.015999999999779 y2[1] (analytic) = 1.125262740965023 y2[1] (numeric) = 1.125262740964735 absolute error = 2.884359417976157e-13 relative error = 2.563276391345309e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.125262740965023 y1[1] (numeric) = 1.125262740964802 absolute error = 2.209343819004062e-13 relative error = 1.963402624625545e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.016999999999779 y2[1] (analytic) = 1.124270554894956 y2[1] (numeric) = 1.124270554894667 absolute error = 2.886579864025407e-13 relative error = 2.567513532625703e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.124270554894956 y1[1] (numeric) = 1.124270554894734 absolute error = 2.211564265053312e-13 relative error = 1.967110368073231e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.017999999999779 y2[1] (analytic) = 1.123278244554343 y2[1] (numeric) = 1.123278244554055 absolute error = 2.888800310074657e-13 relative error = 2.571758443715589e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.123278244554343 y1[1] (numeric) = 1.123278244554122 absolute error = 2.213784711102562e-13 relative error = 1.970824879619095e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.018999999999779 y2[1] (analytic) = 1.122285810935497 y2[1] (numeric) = 1.122285810935208 absolute error = 2.891020756123908e-13 relative error = 2.576011144357298e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.122285810935497 y1[1] (numeric) = 1.122285810935275 absolute error = 2.216005157151812e-13 relative error = 1.974546176703981e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.019999999999778 y2[1] (analytic) = 1.12129325503085 y2[1] (numeric) = 1.12129325503056 absolute error = 2.893241202173158e-13 relative error = 2.580271654352864e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.12129325503085 y1[1] (numeric) = 1.121293255030628 absolute error = 2.216005157151812e-13 relative error = 1.976294022290221e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.020999999999778 y2[1] (analytic) = 1.120300577832958 y2[1] (numeric) = 1.120300577832668 absolute error = 2.895461648222408e-13 relative error = 2.584539993564241e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.120300577832958 y1[1] (numeric) = 1.120300577832736 absolute error = 2.218225603201063e-13 relative error = 1.980027188321072e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.021999999999778 y2[1] (analytic) = 1.119307780334498 y2[1] (numeric) = 1.119307780334208 absolute error = 2.897682094271659e-13 relative error = 2.588816181913527e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.119307780334498 y1[1] (numeric) = 1.119307780334276 absolute error = 2.218225603201063e-13 relative error = 1.981783422016562e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.022999999999778 y2[1] (analytic) = 1.118314863528267 y2[1] (numeric) = 1.118314863527977 absolute error = 2.899902540320909e-13 relative error = 2.593100239383172e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.118314863528267 y1[1] (numeric) = 1.118314863528045 absolute error = 2.220446049250313e-13 relative error = 1.985528514075936e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.023999999999778 y2[1] (analytic) = 1.117321828407183 y2[1] (numeric) = 1.117321828406893 absolute error = 2.90434343241941e-13 relative error = 2.59937947919602e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.117321828407183 y1[1] (numeric) = 1.117321828406961 absolute error = 2.222666495299563e-13 relative error = 1.989280472993285e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.024999999999778 y2[1] (analytic) = 1.116328675964281 y2[1] (numeric) = 1.11632867596399 absolute error = 2.90434343241941e-13 relative error = 2.601692041916462e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.116328675964281 y1[1] (numeric) = 1.116328675964058 absolute error = 2.222666495299563e-13 relative error = 1.991050255319861e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.025999999999778 y2[1] (analytic) = 1.115335407192712 y2[1] (numeric) = 1.115335407192421 absolute error = 2.90878432451791e-13 relative error = 2.607990659813528e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.115335407192712 y1[1] (numeric) = 1.115335407192489 absolute error = 2.224886941348814e-13 relative error = 1.994814229872637e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.026999999999778 y2[1] (analytic) = 1.114342023085745 y2[1] (numeric) = 1.114342023085454 absolute error = 2.91100477056716e-13 relative error = 2.612308169538687e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.114342023085745 y1[1] (numeric) = 1.114342023085523 absolute error = 2.227107387398064e-13 relative error = 1.998585121317546e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.027999999999778 y2[1] (analytic) = 1.113348524636765 y2[1] (numeric) = 1.113348524636474 absolute error = 2.913225216616411e-13 relative error = 2.616633652581399e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.113348524636765 y1[1] (numeric) = 1.113348524636542 absolute error = 2.227107387398064e-13 relative error = 2.000368562148737e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.028999999999777 y2[1] (analytic) = 1.11235491283927 y2[1] (numeric) = 1.112354912838978 absolute error = 2.915445662665661e-13 relative error = 2.620967129298713e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.11235491283927 y1[1] (numeric) = 1.112354912839047 absolute error = 2.227107387398064e-13 relative error = 2.002155392754462e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.029999999999777 y2[1] (analytic) = 1.111361188686871 y2[1] (numeric) = 1.111361188686579 absolute error = 2.917666108714911e-13 relative error = 2.625308620109615e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.111361188686871 y1[1] (numeric) = 1.111361188686648 absolute error = 2.229327833447314e-13 relative error = 2.005943572747377e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.030999999999777 y2[1] (analytic) = 1.110367353173293 y2[1] (numeric) = 1.110367353173001 absolute error = 2.919886554764162e-13 relative error = 2.62965814549526e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.110367353173293 y1[1] (numeric) = 1.11036735317307 absolute error = 2.231548279496565e-13 relative error = 2.009738734770142e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.031999999999777 y2[1] (analytic) = 1.109373407292371 y2[1] (numeric) = 1.109373407292079 absolute error = 2.922107000813412e-13 relative error = 2.634015725999192e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.109373407292371 y1[1] (numeric) = 1.109373407292148 absolute error = 2.233768725545815e-13 relative error = 2.013540896926434e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.032999999999777 y2[1] (analytic) = 1.10837935203805 y2[1] (numeric) = 1.108379352037758 absolute error = 2.924327446862662e-13 relative error = 2.638381382227581e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.10837935203805 y1[1] (numeric) = 1.108379352037827 absolute error = 2.233768725545815e-13 relative error = 2.015346750585381e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.033999999999777 y2[1] (analytic) = 1.107385188404387 y2[1] (numeric) = 1.107385188404095 absolute error = 2.926547892911913e-13 relative error = 2.642755134849443e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.107385188404387 y1[1] (numeric) = 1.107385188404164 absolute error = 2.235989171595065e-13 relative error = 2.01916116903899e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.034999999999777 y2[1] (analytic) = 1.106390917385545 y2[1] (numeric) = 1.106390917385252 absolute error = 2.928768338961163e-13 relative error = 2.647137004596878e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.106390917385545 y1[1] (numeric) = 1.106390917385321 absolute error = 2.238209617644316e-13 relative error = 2.0229826388428e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.035999999999777 y2[1] (analytic) = 1.105396539975793 y2[1] (numeric) = 1.1053965399755 absolute error = 2.928768338961163e-13 relative error = 2.649518279680249e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.105396539975793 y1[1] (numeric) = 1.105396539975569 absolute error = 2.238209617644316e-13 relative error = 2.024802445729864e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.036999999999777 y2[1] (analytic) = 1.104402057169511 y2[1] (numeric) = 1.104402057169218 absolute error = 2.930988785010413e-13 relative error = 2.653914637321747e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.104402057169511 y1[1] (numeric) = 1.104402057169287 absolute error = 2.240430063693566e-13 relative error = 2.028636264437608e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.037999999999776 y2[1] (analytic) = 1.10340746996118 y2[1] (numeric) = 1.103407469960886 absolute error = 2.935429677108914e-13 relative error = 2.660331524864688e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.10340746996118 y1[1] (numeric) = 1.103407469960956 absolute error = 2.242650509742816e-13 relative error = 2.032477186167425e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.038999999999776 y2[1] (analytic) = 1.102412779345388 y2[1] (numeric) = 1.102412779345094 absolute error = 2.935429677108914e-13 relative error = 2.662731902338769e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.102412779345388 y1[1] (numeric) = 1.102412779345163 absolute error = 2.242650509742816e-13 relative error = 2.034311060031889e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.039999999999776 y2[1] (analytic) = 1.101417986316825 y2[1] (numeric) = 1.101417986316531 absolute error = 2.937650123158164e-13 relative error = 2.66715285173593e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.101417986316825 y1[1] (numeric) = 1.1014179863166 absolute error = 2.244870955792067e-13 relative error = 2.038164424115665e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.040999999999776 y2[1] (analytic) = 1.100423091870284 y2[1] (numeric) = 1.10042309186999 absolute error = 2.939870569207415e-13 relative error = 2.671582040513889e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.100423091870284 y1[1] (numeric) = 1.100423091870059 absolute error = 2.244870955792067e-13 relative error = 2.040007132144669e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.041999999999776 y2[1] (analytic) = 1.099428097000659 y2[1] (numeric) = 1.099428097000365 absolute error = 2.942091015256665e-13 relative error = 2.676019489844729e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.099428097000659 y1[1] (numeric) = 1.099428097000434 absolute error = 2.247091401841317e-13 relative error = 2.043872999036125e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.042999999999776 y2[1] (analytic) = 1.098433002702946 y2[1] (numeric) = 1.098433002702651 absolute error = 2.944311461305915e-13 relative error = 2.680465220965469e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.098433002702946 y1[1] (numeric) = 1.098433002702721 absolute error = 2.247091401841317e-13 relative error = 2.045724587946497e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.043999999999776 y2[1] (analytic) = 1.097437809972238 y2[1] (numeric) = 1.097437809971944 absolute error = 2.948752353404416e-13 relative error = 2.686942555295238e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.097437809972238 y1[1] (numeric) = 1.097437809972013 absolute error = 2.249311847890567e-13 relative error = 2.049603018459394e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.044999999999776 y2[1] (analytic) = 1.096442519803729 y2[1] (numeric) = 1.096442519803434 absolute error = 2.950972799453666e-13 relative error = 2.691406750608241e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.096442519803729 y1[1] (numeric) = 1.096442519803504 absolute error = 2.251532293939817e-13 relative error = 2.053488672021638e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.045999999999776 y2[1] (analytic) = 1.095447133192708 y2[1] (numeric) = 1.095447133192412 absolute error = 2.953193245502916e-13 relative error = 2.695879295330083e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.095447133192708 y1[1] (numeric) = 1.095447133192482 absolute error = 2.253752739989068e-13 relative error = 2.057381567488748e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.046999999999775 y2[1] (analytic) = 1.094451651134561 y2[1] (numeric) = 1.094451651134265 absolute error = 2.955413691552167e-13 relative error = 2.700360210968153e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.094451651134561 y1[1] (numeric) = 1.094451651134336 absolute error = 2.253752739989068e-13 relative error = 2.059252903180072e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.047999999999775 y2[1] (analytic) = 1.093456074624771 y2[1] (numeric) = 1.093456074624475 absolute error = 2.957634137601417e-13 relative error = 2.704849519096004e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.093456074624771 y1[1] (numeric) = 1.093456074624546 absolute error = 2.255973186038318e-13 relative error = 2.063158492043199e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.048999999999775 y2[1] (analytic) = 1.092460404658915 y2[1] (numeric) = 1.092460404658619 absolute error = 2.959854583650667e-13 relative error = 2.709347241353599e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.092460404658915 y1[1] (numeric) = 1.092460404658689 absolute error = 2.255973186038318e-13 relative error = 2.065038857625849e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.049999999999775 y2[1] (analytic) = 1.091464642232661 y2[1] (numeric) = 1.091464642232365 absolute error = 2.962075029699918e-13 relative error = 2.713853399447556e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.091464642232661 y1[1] (numeric) = 1.091464642232435 absolute error = 2.258193632087568e-13 relative error = 2.06895720182771e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.050999999999775 y2[1] (analytic) = 1.090468788341773 y2[1] (numeric) = 1.090468788341476 absolute error = 2.964295475749168e-13 relative error = 2.718368015151392e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.090468788341773 y1[1] (numeric) = 1.090468788341547 absolute error = 2.258193632087568e-13 relative error = 2.070846645250161e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.051999999999775 y2[1] (analytic) = 1.089472843982104 y2[1] (numeric) = 1.089472843981807 absolute error = 2.966515921798418e-13 relative error = 2.722891110305773e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.089472843982104 y1[1] (numeric) = 1.089472843981878 absolute error = 2.260414078136819e-13 relative error = 2.074777807104249e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.052999999999775 y2[1] (analytic) = 1.088476810149598 y2[1] (numeric) = 1.088476810149301 absolute error = 2.968736367847669e-13 relative error = 2.727422706818762e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.088476810149598 y1[1] (numeric) = 1.088476810149372 absolute error = 2.262634524186069e-13 relative error = 2.078716333768375e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.053999999999775 y2[1] (analytic) = 1.08748068784029 y2[1] (numeric) = 1.087480687839993 absolute error = 2.970956813896919e-13 relative error = 2.731962826666068e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.08748068784029 y1[1] (numeric) = 1.087480687840064 absolute error = 2.264854970235319e-13 relative error = 2.082662244543639e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.054999999999775 y2[1] (analytic) = 1.086484478050301 y2[1] (numeric) = 1.086484478050004 absolute error = 2.973177259946169e-13 relative error = 2.736511491891299e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.086484478050301 y1[1] (numeric) = 1.086484478050075 absolute error = 2.264854970235319e-13 relative error = 2.08457186088807e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.055999999999774 y2[1] (analytic) = 1.085488181775841 y2[1] (numeric) = 1.085488181775544 absolute error = 2.97539770599542e-13 relative error = 2.74106872460621e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.085488181775841 y1[1] (numeric) = 1.085488181775615 absolute error = 2.26707541628457e-13 relative error = 2.088530722255925e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.056999999999774 y2[1] (analytic) = 1.084491800013207 y2[1] (numeric) = 1.084491800012909 absolute error = 2.97761815204467e-13 relative error = 2.745634546990957e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.084491800013207 y1[1] (numeric) = 1.08449180001298 absolute error = 2.26707541628457e-13 relative error = 2.090449569334651e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.057999999999774 y2[1] (analytic) = 1.08349533375878 y2[1] (numeric) = 1.083495333758482 absolute error = 2.97983859809392e-13 relative error = 2.750208981294354e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.08349533375878 y1[1] (numeric) = 1.083495333758553 absolute error = 2.26929586233382e-13 relative error = 2.09442144477111e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.058999999999774 y2[1] (analytic) = 1.082498784009026 y2[1] (numeric) = 1.082498784008727 absolute error = 2.98205904414317e-13 relative error = 2.754792049834124e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.082498784009026 y1[1] (numeric) = 1.082498784008799 absolute error = 2.26929586233382e-13 relative error = 2.09634957180229e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.059999999999774 y2[1] (analytic) = 1.081502151760494 y2[1] (numeric) = 1.081502151760196 absolute error = 2.984279490192421e-13 relative error = 2.759383774997157e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.081502151760494 y1[1] (numeric) = 1.081502151760267 absolute error = 2.26929586233382e-13 relative error = 2.098281412237421e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.060999999999774 y2[1] (analytic) = 1.080505438009818 y2[1] (numeric) = 1.08050543800952 absolute error = 2.986499936241671e-13 relative error = 2.763984179239766e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.080505438009818 y1[1] (numeric) = 1.080505438009591 absolute error = 2.27151630838307e-13 relative error = 2.102271981681993e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.061999999999774 y2[1] (analytic) = 1.079508643753711 y2[1] (numeric) = 1.079508643753412 absolute error = 2.988720382290921e-13 relative error = 2.768593285087948e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.079508643753711 y1[1] (numeric) = 1.079508643753484 absolute error = 2.27151630838307e-13 relative error = 2.104213172841732e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.062999999999774 y2[1] (analytic) = 1.078511769988966 y2[1] (numeric) = 1.078511769988667 absolute error = 2.990940828340172e-13 relative error = 2.773211115137641e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.078511769988966 y1[1] (numeric) = 1.078511769988739 absolute error = 2.273736754432321e-13 relative error = 2.108216913066774e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.063999999999774 y2[1] (analytic) = 1.077514817712458 y2[1] (numeric) = 1.077514817712159 absolute error = 2.993161274389422e-13 relative error = 2.777837692054985e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.077514817712458 y1[1] (numeric) = 1.07751481771223 absolute error = 2.275957200481571e-13 relative error = 2.112228215397893e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.064999999999773 y2[1] (analytic) = 1.076517787921139 y2[1] (numeric) = 1.076517787920839 absolute error = 2.993161274389422e-13 relative error = 2.780410419570967e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.076517787921139 y1[1] (numeric) = 1.076517787920911 absolute error = 2.275957200481571e-13 relative error = 2.114184480756856e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.065999999999773 y2[1] (analytic) = 1.075520681612038 y2[1] (numeric) = 1.075520681611738 absolute error = 2.997602166487923e-13 relative error = 2.787117177509766e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.075520681612038 y1[1] (numeric) = 1.07552068161181 absolute error = 2.278177646530821e-13 relative error = 2.118209054907422e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.066999999999773 y2[1] (analytic) = 1.074523499782261 y2[1] (numeric) = 1.074523499781961 absolute error = 2.999822612537173e-13 relative error = 2.791770131732855e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.074523499782261 y1[1] (numeric) = 1.074523499782034 absolute error = 2.278177646530821e-13 relative error = 2.120174800264922e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.067999999999773 y2[1] (analytic) = 1.073526243428992 y2[1] (numeric) = 1.073526243428691 absolute error = 3.002043058586423e-13 relative error = 2.796431924195427e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.073526243428992 y1[1] (numeric) = 1.073526243428764 absolute error = 2.278177646530821e-13 relative error = 2.122144344840612e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.068999999999773 y2[1] (analytic) = 1.072528913549485 y2[1] (numeric) = 1.072528913549184 absolute error = 3.006483950684924e-13 relative error = 2.803172868072251e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.072528913549485 y1[1] (numeric) = 1.072528913549257 absolute error = 2.280398092580072e-13 relative error = 2.126187987821419e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.069999999999773 y2[1] (analytic) = 1.07153151114107 y2[1] (numeric) = 1.071531511140769 absolute error = 3.008704396734174e-13 relative error = 2.807854333215283e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.07153151114107 y1[1] (numeric) = 1.071531511140842 absolute error = 2.282618538629322e-13 relative error = 2.130239302247462e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.070999999999773 y2[1] (analytic) = 1.07053403720115 y2[1] (numeric) = 1.070534037200849 absolute error = 3.008704396734174e-13 relative error = 2.810470561590231e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.07053403720115 y1[1] (numeric) = 1.070534037200922 absolute error = 2.282618538629322e-13 relative error = 2.132224160379895e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.071999999999773 y2[1] (analytic) = 1.069536492727199 y2[1] (numeric) = 1.069536492726898 absolute error = 3.010924842783425e-13 relative error = 2.815167937940949e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.069536492727199 y1[1] (numeric) = 1.069536492726971 absolute error = 2.282618538629322e-13 relative error = 2.134212861506856e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.072999999999773 y2[1] (analytic) = 1.068538878716761 y2[1] (numeric) = 1.06853887871646 absolute error = 3.013145288832675e-13 relative error = 2.819874268357224e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.068538878716761 y1[1] (numeric) = 1.068538878716533 absolute error = 2.284838984678572e-13 relative error = 2.13828343562239e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.073999999999772 y2[1] (analytic) = 1.06754119616745 y2[1] (numeric) = 1.067541196167149 absolute error = 3.015365734881925e-13 relative error = 2.824589576221794e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.06754119616745 y1[1] (numeric) = 1.067541196167221 absolute error = 2.287059430727822e-13 relative error = 2.14236175516086e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.074999999999772 y2[1] (analytic) = 1.066543446076949 y2[1] (numeric) = 1.066543446076647 absolute error = 3.017586180931175e-13 relative error = 2.829313884990545e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.066543446076949 y1[1] (numeric) = 1.06654344607672 absolute error = 2.287059430727822e-13 relative error = 2.144365931964873e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.075999999999772 y2[1] (analytic) = 1.065545629443007 y2[1] (numeric) = 1.065545629442704 absolute error = 3.022027073029676e-13 relative error = 2.83613107644145e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.065545629443007 y1[1] (numeric) = 1.065545629442778 absolute error = 2.289279876777073e-13 relative error = 2.148457854379967e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.076999999999772 y2[1] (analytic) = 1.06454774726344 y2[1] (numeric) = 1.064547747263138 absolute error = 3.022027073029676e-13 relative error = 2.838789599431489e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.06454774726344 y1[1] (numeric) = 1.064547747263211 absolute error = 2.289279876777073e-13 relative error = 2.150471768562723e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.077999999999772 y2[1] (analytic) = 1.063549800536132 y2[1] (numeric) = 1.06354980053583 absolute error = 3.024247519078926e-13 relative error = 2.843541052383642e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.063549800536132 y1[1] (numeric) = 1.063549800535903 absolute error = 2.289279876777073e-13 relative error = 2.152489592516545e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.078999999999772 y2[1] (analytic) = 1.062551790259029 y2[1] (numeric) = 1.062551790258726 absolute error = 3.026467965128177e-13 relative error = 2.84830160080045e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.062551790259029 y1[1] (numeric) = 1.0625517902588 absolute error = 2.289279876777073e-13 relative error = 2.154511335601808e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.079999999999772 y2[1] (analytic) = 1.061553717430141 y2[1] (numeric) = 1.061553717429838 absolute error = 3.030908857226677e-13 relative error = 2.855162962986031e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.061553717430141 y1[1] (numeric) = 1.061553717429912 absolute error = 2.291500322826323e-13 relative error = 2.158628701686142e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.080999999999772 y2[1] (analytic) = 1.06055558304754 y2[1] (numeric) = 1.060555583047237 absolute error = 3.030908857226677e-13 relative error = 2.8578500794058e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.06055558304754 y1[1] (numeric) = 1.060555583047311 absolute error = 2.291500322826323e-13 relative error = 2.160660279814495e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.081999999999772 y2[1] (analytic) = 1.059557388109362 y2[1] (numeric) = 1.059557388109059 absolute error = 3.033129303275928e-13 relative error = 2.862638057470526e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.059557388109362 y1[1] (numeric) = 1.059557388109132 absolute error = 2.293720768875573e-13 relative error = 2.164791444631811e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.082999999999771 y2[1] (analytic) = 1.0585591336138 y2[1] (numeric) = 1.058559133613497 absolute error = 3.037570195374428e-13 relative error = 2.869532838476874e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.0585591336138 y1[1] (numeric) = 1.058559133613571 absolute error = 2.295941214924824e-13 relative error = 2.168930522649917e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.083999999999771 y2[1] (analytic) = 1.05756082055911 y2[1] (numeric) = 1.057560820558806 absolute error = 3.039790641423679e-13 relative error = 2.874341203200594e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.05756082055911 y1[1] (numeric) = 1.05756082055888 absolute error = 2.295941214924824e-13 relative error = 2.170977943104028e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.084999999999771 y2[1] (analytic) = 1.056562449943603 y2[1] (numeric) = 1.0565624499433 absolute error = 3.039790641423679e-13 relative error = 2.877057235552839e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.056562449943603 y1[1] (numeric) = 1.056562449943374 absolute error = 2.295941214924824e-13 relative error = 2.173029351031143e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.085999999999771 y2[1] (analytic) = 1.055564022765652 y2[1] (numeric) = 1.055564022765348 absolute error = 3.044231533522179e-13 relative error = 2.883985687145795e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.055564022765652 y1[1] (numeric) = 1.055564022765422 absolute error = 2.298161660974074e-13 relative error = 2.177188319617723e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.086999999999771 y2[1] (analytic) = 1.054565540023683 y2[1] (numeric) = 1.054565540023378 absolute error = 3.04645197957143e-13 relative error = 2.888821855020044e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.054565540023683 y1[1] (numeric) = 1.054565540023453 absolute error = 2.300382107023324e-13 relative error = 2.181355278280442e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.087999999999771 y2[1] (analytic) = 1.053567002716177 y2[1] (numeric) = 1.053567002715873 absolute error = 3.04645197957143e-13 relative error = 2.891559788525495e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.053567002716177 y1[1] (numeric) = 1.053567002715947 absolute error = 2.300382107023324e-13 relative error = 2.183422697458027e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.088999999999771 y2[1] (analytic) = 1.052568411841674 y2[1] (numeric) = 1.052568411841369 absolute error = 3.05089287166993e-13 relative error = 2.898522164779576e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.052568411841674 y1[1] (numeric) = 1.052568411841444 absolute error = 2.302602553072575e-13 relative error = 2.187603700783421e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.089999999999771 y2[1] (analytic) = 1.051569768398763 y2[1] (numeric) = 1.051569768398458 absolute error = 3.05311331771918e-13 relative error = 2.903386355779502e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.051569768398763 y1[1] (numeric) = 1.051569768398533 absolute error = 2.302602553072575e-13 relative error = 2.189681200686068e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.090999999999771 y2[1] (analytic) = 1.050571073386089 y2[1] (numeric) = 1.050571073385783 absolute error = 3.055333763768431e-13 relative error = 2.908259937065281e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.050571073386089 y1[1] (numeric) = 1.050571073385858 absolute error = 2.304822999121825e-13 relative error = 2.193876318803606e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09199999999977 y2[1] (analytic) = 1.049572327802345 y2[1] (numeric) = 1.049572327802039 absolute error = 3.055333763768431e-13 relative error = 2.911027361178496e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.049572327802345 y1[1] (numeric) = 1.049572327802114 absolute error = 2.304822999121825e-13 relative error = 2.195963954144825e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09299999999977 y2[1] (analytic) = 1.048573532646277 y2[1] (numeric) = 1.048573532645971 absolute error = 3.057554209817681e-13 relative error = 2.915917782228734e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.048573532646277 y1[1] (numeric) = 1.048573532646046 absolute error = 2.304822999121825e-13 relative error = 2.198055670263926e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09399999999977 y2[1] (analytic) = 1.047574688916681 y2[1] (numeric) = 1.047574688916375 absolute error = 3.059774655866931e-13 relative error = 2.920817664114346e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.047574688916681 y1[1] (numeric) = 1.04757468891645 absolute error = 2.307043445171075e-13 relative error = 2.202271083465026e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09499999999977 y2[1] (analytic) = 1.046575797612399 y2[1] (numeric) = 1.046575797612093 absolute error = 3.061995101916182e-13 relative error = 2.925727031813319e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.046575797612399 y1[1] (numeric) = 1.046575797612169 absolute error = 2.307043445171075e-13 relative error = 2.204373013817287e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09599999999977 y2[1] (analytic) = 1.045576859732325 y2[1] (numeric) = 1.045576859732018 absolute error = 3.066435994014682e-13 relative error = 2.932769566839603e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.045576859732325 y1[1] (numeric) = 1.045576859732094 absolute error = 2.309263891220326e-13 relative error = 2.208602715071099e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09699999999977 y2[1] (analytic) = 1.044577876275393 y2[1] (numeric) = 1.044577876275087 absolute error = 3.066435994014682e-13 relative error = 2.93557432495942e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.044577876275393 y1[1] (numeric) = 1.044577876275163 absolute error = 2.309263891220326e-13 relative error = 2.210714915248223e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09799999999977 y2[1] (analytic) = 1.04357884824059 y2[1] (numeric) = 1.043578848240283 absolute error = 3.070876886113183e-13 relative error = 2.942640023118994e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.04357884824059 y1[1] (numeric) = 1.043578848240359 absolute error = 2.311484337269576e-13 relative error = 2.214958976187182e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09899999999977 y2[1] (analytic) = 1.042579776626942 y2[1] (numeric) = 1.042579776626635 absolute error = 3.073097332162433e-13 relative error = 2.947589624368913e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.042579776626942 y1[1] (numeric) = 1.042579776626711 absolute error = 2.311484337269576e-13 relative error = 2.217081502144537e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09999999999977 y2[1] (analytic) = 1.041580662433521 y2[1] (numeric) = 1.041580662433213 absolute error = 3.075317778211684e-13 relative error = 2.952548841514199e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.041580662433521 y1[1] (numeric) = 1.04158066243329 absolute error = 2.313704783318826e-13 relative error = 2.221339994843173e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.100999999999769 y2[1] (analytic) = 1.040581506659441 y2[1] (numeric) = 1.040581506659133 absolute error = 3.075317778211684e-13 relative error = 2.955383848867658e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.040581506659441 y1[1] (numeric) = 1.040581506659209 absolute error = 2.313704783318826e-13 relative error = 2.223472902902599e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.101999999999769 y2[1] (analytic) = 1.039582310303857 y2[1] (numeric) = 1.03958231030355 absolute error = 3.077538224260934e-13 relative error = 2.960360323331595e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.039582310303857 y1[1] (numeric) = 1.039582310303626 absolute error = 2.315925229368077e-13 relative error = 2.227745899880847e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.102999999999769 y2[1] (analytic) = 1.038583074365967 y2[1] (numeric) = 1.038583074365659 absolute error = 3.077538224260934e-13 relative error = 2.963208529216314e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.038583074365967 y1[1] (numeric) = 1.038583074365735 absolute error = 2.315925229368077e-13 relative error = 2.229889246733489e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.103999999999769 y2[1] (analytic) = 1.037583799845005 y2[1] (numeric) = 1.037583799844697 absolute error = 3.079758670310184e-13 relative error = 2.968202347386534e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.037583799845005 y1[1] (numeric) = 1.037583799844773 absolute error = 2.318145675417327e-13 relative error = 2.234176820960015e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.104999999999769 y2[1] (analytic) = 1.036584487740247 y2[1] (numeric) = 1.036584487739939 absolute error = 3.081979116359435e-13 relative error = 2.973205901506539e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.036584487740247 y1[1] (numeric) = 1.036584487740015 absolute error = 2.320366121466577e-13 relative error = 2.238472742848943e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.105999999999769 y2[1] (analytic) = 1.035585139051004 y2[1] (numeric) = 1.035585139050696 absolute error = 3.084199562408685e-13 relative error = 2.978219217431995e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.035585139051004 y1[1] (numeric) = 1.035585139050772 absolute error = 2.320366121466577e-13 relative error = 2.240632888564748e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.106999999999769 y2[1] (analytic) = 1.034585754776625 y2[1] (numeric) = 1.034585754776316 absolute error = 3.086420008457935e-13 relative error = 2.983242321101083e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.034585754776625 y1[1] (numeric) = 1.034585754776393 absolute error = 2.322586567515827e-13 relative error = 2.244943502065995e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.107999999999769 y2[1] (analytic) = 1.033586335916494 y2[1] (numeric) = 1.033586335916185 absolute error = 3.088640454507185e-13 relative error = 2.988275238534814e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.033586335916494 y1[1] (numeric) = 1.033586335916262 absolute error = 2.322586567515827e-13 relative error = 2.247114234009644e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.108999999999769 y2[1] (analytic) = 1.03258688347003 y2[1] (numeric) = 1.032586883469721 absolute error = 3.090860900556436e-13 relative error = 2.99331799583734e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.03258688347003 y1[1] (numeric) = 1.032586883469798 absolute error = 2.324807013565078e-13 relative error = 2.251439613248344e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.109999999999769 y2[1] (analytic) = 1.031587398436685 y2[1] (numeric) = 1.031587398436376 absolute error = 3.093081346605686e-13 relative error = 2.998370619196283e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.031587398436685 y1[1] (numeric) = 1.031587398436453 absolute error = 2.327027459614328e-13 relative error = 2.255773445023477e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.110999999999768 y2[1] (analytic) = 1.030587881815945 y2[1] (numeric) = 1.030587881815635 absolute error = 3.095301792654936e-13 relative error = 3.003433134883042e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.030587881815945 y1[1] (numeric) = 1.030587881815712 absolute error = 2.329247905663578e-13 relative error = 2.260115752146564e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.111999999999768 y2[1] (analytic) = 1.029588334607325 y2[1] (numeric) = 1.029588334607015 absolute error = 3.097522238704187e-13 relative error = 3.008505569253125e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.029588334607325 y1[1] (numeric) = 1.029588334607092 absolute error = 2.329247905663578e-13 relative error = 2.262309922685684e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.112999999999768 y2[1] (analytic) = 1.028588757810373 y2[1] (numeric) = 1.028588757810063 absolute error = 3.097522238704187e-13 relative error = 3.011429218124156e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.028588757810373 y1[1] (numeric) = 1.02858875781014 absolute error = 2.329247905663578e-13 relative error = 2.264508422804473e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.113999999999768 y2[1] (analytic) = 1.027589152424665 y2[1] (numeric) = 1.027589152424355 absolute error = 3.101963130802687e-13 relative error = 3.01868029988775e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.027589152424665 y1[1] (numeric) = 1.027589152424432 absolute error = 2.331468351712829e-13 relative error = 2.268872093688001e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.114999999999768 y2[1] (analytic) = 1.026589519449808 y2[1] (numeric) = 1.026589519449497 absolute error = 3.104183576851938e-13 relative error = 3.023782649286737e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.026589519449808 y1[1] (numeric) = 1.026589519449574 absolute error = 2.331468351712829e-13 relative error = 2.271081388949266e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.115999999999768 y2[1] (analytic) = 1.025589859885433 y2[1] (numeric) = 1.025589859885122 absolute error = 3.106404022901188e-13 relative error = 3.028895023638592e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.025589859885433 y1[1] (numeric) = 1.0255898598852 absolute error = 2.331468351712829e-13 relative error = 2.273295049907449e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.116999999999768 y2[1] (analytic) = 1.0245901747312 y2[1] (numeric) = 1.024590174730889 absolute error = 3.110844914999689e-13 relative error = 3.036184605045441e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.0245901747312 y1[1] (numeric) = 1.024590174730967 absolute error = 2.333688797762079e-13 relative error = 2.277680242614389e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.117999999999768 y2[1] (analytic) = 1.023590464986795 y2[1] (numeric) = 1.023590464986484 absolute error = 3.110844914999689e-13 relative error = 3.039149954410547e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.023590464986795 y1[1] (numeric) = 1.023590464986561 absolute error = 2.333688797762079e-13 relative error = 2.279904783786928e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.118999999999768 y2[1] (analytic) = 1.022590731651927 y2[1] (numeric) = 1.022590731651615 absolute error = 3.115285807098189e-13 relative error = 3.046463957350419e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.022590731651927 y1[1] (numeric) = 1.022590731651693 absolute error = 2.335909243811329e-13 relative error = 2.284305119837948e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.119999999999767 y2[1] (analytic) = 1.021590975726329 y2[1] (numeric) = 1.021590975726017 absolute error = 3.11750625314744e-13 relative error = 3.051618825167246e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.021590975726329 y1[1] (numeric) = 1.021590975726095 absolute error = 2.335909243811329e-13 relative error = 2.286540601193692e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.120999999999767 y2[1] (analytic) = 1.020591198209757 y2[1] (numeric) = 1.020591198209445 absolute error = 3.11972669919669e-13 relative error = 3.056783856914577e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.020591198209757 y1[1] (numeric) = 1.020591198209523 absolute error = 2.335909243811329e-13 relative error = 2.288780510657748e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.121999999999767 y2[1] (analytic) = 1.019591400101988 y2[1] (numeric) = 1.019591400101676 absolute error = 3.12194714524594e-13 relative error = 3.061959079817324e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.019591400101988 y1[1] (numeric) = 1.019591400101755 absolute error = 2.335909243811329e-13 relative error = 2.29102485915208e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.122999999999767 y2[1] (analytic) = 1.018591582402821 y2[1] (numeric) = 1.018591582402509 absolute error = 3.126388037344441e-13 relative error = 3.069324439113665e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.018591582402821 y1[1] (numeric) = 1.018591582402588 absolute error = 2.33812968986058e-13 relative error = 2.295453575558729e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.123999999999767 y2[1] (analytic) = 1.017591746112073 y2[1] (numeric) = 1.017591746111761 absolute error = 3.126388037344441e-13 relative error = 3.072340208427863e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.017591746112073 y1[1] (numeric) = 1.01759174611184 absolute error = 2.33812968986058e-13 relative error = 2.297708976899531e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.124999999999767 y2[1] (analytic) = 1.016591892229581 y2[1] (numeric) = 1.016591892229268 absolute error = 3.130828929442941e-13 relative error = 3.079730374965349e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.016591892229581 y1[1] (numeric) = 1.016591892229347 absolute error = 2.34035013590983e-13 relative error = 2.302153060435091e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.125999999999767 y2[1] (analytic) = 1.015592021755198 y2[1] (numeric) = 1.015592021754885 absolute error = 3.130828929442941e-13 relative error = 3.082762430559551e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.015592021755198 y1[1] (numeric) = 1.015592021754964 absolute error = 2.34035013590983e-13 relative error = 2.304419575751608e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.126999999999767 y2[1] (analytic) = 1.014592135688794 y2[1] (numeric) = 1.014592135688481 absolute error = 3.133049375492192e-13 relative error = 3.08798902069668e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.014592135688794 y1[1] (numeric) = 1.01459213568856 absolute error = 2.34035013590983e-13 relative error = 2.306690593773424e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.127999999999767 y2[1] (analytic) = 1.013592235030256 y2[1] (numeric) = 1.013592235029942 absolute error = 3.135269821541442e-13 relative error = 3.093225967193656e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.013592235030256 y1[1] (numeric) = 1.013592235030021 absolute error = 2.34257058195908e-13 relative error = 2.311156795601492e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.128999999999766 y2[1] (analytic) = 1.012592320779484 y2[1] (numeric) = 1.01259232077917 absolute error = 3.137490267590692e-13 relative error = 3.09847329789691e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.012592320779484 y1[1] (numeric) = 1.012592320779249 absolute error = 2.34257058195908e-13 relative error = 2.313439015768748e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.129999999999766 y2[1] (analytic) = 1.011592393936392 y2[1] (numeric) = 1.011592393936078 absolute error = 3.139710713639943e-13 relative error = 3.103731040743042e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.011592393936392 y1[1] (numeric) = 1.011592393936157 absolute error = 2.344791028008331e-13 relative error = 2.317920777245157e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.130999999999766 y2[1] (analytic) = 1.010592455500907 y2[1] (numeric) = 1.010592455500593 absolute error = 3.144151605738443e-13 relative error = 3.111196396355465e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.010592455500907 y1[1] (numeric) = 1.010592455500672 absolute error = 2.347011474057581e-13 relative error = 2.322411434285118e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.131999999999766 y2[1] (analytic) = 1.009592506472968 y2[1] (numeric) = 1.009592506472653 absolute error = 3.144151605738443e-13 relative error = 3.114277875063279e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.009592506472968 y1[1] (numeric) = 1.009592506472733 absolute error = 2.347011474057581e-13 relative error = 2.324711662388338e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.132999999999766 y2[1] (analytic) = 1.008592547852523 y2[1] (numeric) = 1.008592547852208 absolute error = 3.146372051787694e-13 relative error = 3.119567022864578e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.008592547852523 y1[1] (numeric) = 1.008592547852288 absolute error = 2.349231920106831e-13 relative error = 2.329218002957462e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.133999999999766 y2[1] (analytic) = 1.00759258063953 y2[1] (numeric) = 1.007592580639216 absolute error = 3.146372051787694e-13 relative error = 3.122662981292157e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.00759258063953 y1[1] (numeric) = 1.007592580639295 absolute error = 2.349231920106831e-13 relative error = 2.331529593653565e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.134999999999766 y2[1] (analytic) = 1.006592605833958 y2[1] (numeric) = 1.006592605833643 absolute error = 3.148592497836944e-13 relative error = 3.127971017856174e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.006592605833958 y1[1] (numeric) = 1.006592605833723 absolute error = 2.351452366156082e-13 relative error = 2.336051698102742e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.135999999999766 y2[1] (analytic) = 1.00559262443578 y2[1] (numeric) = 1.005592624435465 absolute error = 3.150812943886194e-13 relative error = 3.133289631727418e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.00559262443578 y1[1] (numeric) = 1.005592624435545 absolute error = 2.351452366156082e-13 relative error = 2.33837471458727e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.136999999999766 y2[1] (analytic) = 1.004592637444979 y2[1] (numeric) = 1.004592637444664 absolute error = 3.153033389935445e-13 relative error = 3.138618851472654e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.004592637444979 y1[1] (numeric) = 1.004592637444744 absolute error = 2.351452366156082e-13 relative error = 2.340702368809536e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.137999999999765 y2[1] (analytic) = 1.003592645861541 y2[1] (numeric) = 1.003592645861225 absolute error = 3.155253835984695e-13 relative error = 3.143958705751622e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.003592645861541 y1[1] (numeric) = 1.003592645861305 absolute error = 2.353672812205332e-13 relative error = 2.345247169666938e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.138999999999765 y2[1] (analytic) = 1.002592650685456 y2[1] (numeric) = 1.002592650685141 absolute error = 3.157474282033945e-13 relative error = 3.149309223317398e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.002592650685456 y1[1] (numeric) = 1.002592650685221 absolute error = 2.353672812205332e-13 relative error = 2.347586340869509e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.139999999999765 y2[1] (analytic) = 1.001592652916722 y2[1] (numeric) = 1.001592652916406 absolute error = 3.159694728083196e-13 relative error = 3.154670433016755e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.001592652916722 y1[1] (numeric) = 1.001592652916486 absolute error = 2.355893258254582e-13 relative error = 2.352147104308347e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.140999999999765 y2[1] (analytic) = 1.000592653555334 y2[1] (numeric) = 1.000592653555018 absolute error = 3.161915174132446e-13 relative error = 3.160042363790538e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 1.000592653555334 y1[1] (numeric) = 1.000592653555099 absolute error = 2.355893258254582e-13 relative error = 2.354497856728765e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.141999999999765 y2[1] (analytic) = 0.9995926536012935 y2[1] (numeric) = 0.9995926536009772 absolute error = 3.163025397157071e-13 relative error = 3.164314369219748e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9995926536012935 y1[1] (numeric) = 0.9995926536010579 absolute error = 2.355893258254582e-13 relative error = 2.356853313964305e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.142999999999765 y2[1] (analytic) = 0.998592654054599 y2[1] (numeric) = 0.9985926540542824 absolute error = 3.165245843206321e-13 relative error = 3.169706717102746e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.998592654054599 y1[1] (numeric) = 0.9985926540543633 absolute error = 2.357003481279207e-13 relative error = 2.360325275485489e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.143999999999765 y2[1] (analytic) = 0.9975926559152503 y2[1] (numeric) = 0.9975926559149335 absolute error = 3.167466289255572e-13 relative error = 3.175109871222489e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9975926559152503 y1[1] (numeric) = 0.9975926559150144 absolute error = 2.358113704303832e-13 relative error = 2.363804194348604e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.144999999999765 y2[1] (analytic) = 0.9965926601832454 y2[1] (numeric) = 0.9965926601829285 absolute error = 3.169686735304822e-13 relative error = 3.180523860894184e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9965926601832454 y1[1] (numeric) = 0.9965926601830095 absolute error = 2.359223927328458e-13 relative error = 2.36729008910688e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.145999999999765 y2[1] (analytic) = 0.9955926678585802 y2[1] (numeric) = 0.9955926678582629 absolute error = 3.173017404378697e-13 relative error = 3.187063853336264e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9955926678585802 y1[1] (numeric) = 0.9955926678583441 absolute error = 2.361444373377708e-13 relative error = 2.371898116181327e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.146999999999764 y2[1] (analytic) = 0.9945926799412467 y2[1] (numeric) = 0.9945926799409293 absolute error = 3.174127627403323e-13 relative error = 3.191384464634133e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9945926799412467 y1[1] (numeric) = 0.9945926799410105 absolute error = 2.361444373377708e-13 relative error = 2.374282880824344e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.147999999999764 y2[1] (analytic) = 0.9935926974312328 y2[1] (numeric) = 0.9935926974309152 absolute error = 3.176348073452573e-13 relative error = 3.196831137813803e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9935926974312328 y1[1] (numeric) = 0.9935926974309965 absolute error = 2.362554596402333e-13 relative error = 2.377789815193209e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.148999999999764 y2[1] (analytic) = 0.9925927213285209 y2[1] (numeric) = 0.9925927213282031 absolute error = 3.178568519501823e-13 relative error = 3.202288764769014e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9925927213285209 y1[1] (numeric) = 0.9925927213282846 absolute error = 2.363664819426958e-13 relative error = 2.381303800277062e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.149999999999764 y2[1] (analytic) = 0.9915927526330872 y2[1] (numeric) = 0.9915927526327691 absolute error = 3.180788965551073e-13 relative error = 3.207757375298245e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9915927526330872 y1[1] (numeric) = 0.9915927526328506 absolute error = 2.365885265476209e-13 relative error = 2.385944491015902e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.150999999999764 y2[1] (analytic) = 0.9905927923449001 y2[1] (numeric) = 0.9905927923445818 absolute error = 3.183009411600324e-13 relative error = 3.213236999297768e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9905927923449001 y1[1] (numeric) = 0.9905927923446634 absolute error = 2.366995488500834e-13 relative error = 2.389473764388853e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.151999999999764 y2[1] (analytic) = 0.9895928414639198 y2[1] (numeric) = 0.9895928414636013 absolute error = 3.185229857649574e-13 relative error = 3.218727666762034e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9895928414639198 y1[1] (numeric) = 0.989592841463683 absolute error = 2.368105711525459e-13 relative error = 2.393010147509034e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.152999999999764 y2[1] (analytic) = 0.9885929009900972 y2[1] (numeric) = 0.9885929009897785 absolute error = 3.187450303698824e-13 relative error = 3.224229407784057e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9885929009900972 y1[1] (numeric) = 0.9885929009898603 absolute error = 2.369215934550084e-13 relative error = 2.396553659425698e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.153999999999764 y2[1] (analytic) = 0.9875929719233727 y2[1] (numeric) = 0.9875929719230537 absolute error = 3.189670749748075e-13 relative error = 3.229742252555804e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9875929719233727 y1[1] (numeric) = 0.9875929719231357 absolute error = 2.370326157574709e-13 relative error = 2.400104319250484e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.154999999999764 y2[1] (analytic) = 0.9865930552636751 y2[1] (numeric) = 0.9865930552633561 absolute error = 3.1907809727727e-13 relative error = 3.234140921375062e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9865930552636751 y1[1] (numeric) = 0.9865930552634381 absolute error = 2.370326157574709e-13 relative error = 2.402536836164147e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.155999999999763 y2[1] (analytic) = 0.9855931520109213 y2[1] (numeric) = 0.9855931520106019 absolute error = 3.194111641846575e-13 relative error = 3.240801374613428e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9855931520109213 y1[1] (numeric) = 0.9855931520106841 absolute error = 2.37254660362396e-13 relative error = 2.407227159384392e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.156999999999763 y2[1] (analytic) = 0.9845932631650142 y2[1] (numeric) = 0.9845932631646946 absolute error = 3.195221864871201e-13 relative error = 3.245220117188323e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9845932631650142 y1[1] (numeric) = 0.9845932631647769 absolute error = 2.37254660362396e-13 relative error = 2.409671782637751e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.157999999999763 y2[1] (analytic) = 0.9835933897258426 y2[1] (numeric) = 0.9835933897255229 absolute error = 3.197442310920451e-13 relative error = 3.250776534612209e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9835933897258426 y1[1] (numeric) = 0.9835933897256053 absolute error = 2.373656826648585e-13 relative error = 2.413250080208647e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.158999999999763 y2[1] (analytic) = 0.9825935326932801 y2[1] (numeric) = 0.9825935326929601 absolute error = 3.199662756969701e-13 relative error = 3.256344205929642e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9825935326932801 y1[1] (numeric) = 0.9825935326930425 absolute error = 2.375877272697835e-13 relative error = 2.417965510301677e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.159999999999763 y2[1] (analytic) = 0.9815936930671832 y2[1] (numeric) = 0.9815936930668632 absolute error = 3.200772979994326e-13 relative error = 3.260792120610391e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9815936930671832 y1[1] (numeric) = 0.9815936930669457 absolute error = 2.375877272697835e-13 relative error = 2.420428421125993e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.160999999999763 y2[1] (analytic) = 0.9805938718473919 y2[1] (numeric) = 0.9805938718470716 absolute error = 3.202993426043577e-13 relative error = 3.266381238962151e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9805938718473919 y1[1] (numeric) = 0.9805938718471542 absolute error = 2.37698749572246e-13 relative error = 2.424028503507094e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.161999999999763 y2[1] (analytic) = 0.9795940700337271 y2[1] (numeric) = 0.9795940700334066 absolute error = 3.205213872092827e-13 relative error = 3.271981701545491e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9795940700337271 y1[1] (numeric) = 0.9795940700334892 absolute error = 2.37920794177171e-13 relative error = 2.428769236720466e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.162999999999763 y2[1] (analytic) = 0.9785942886259905 y2[1] (numeric) = 0.9785942886256698 absolute error = 3.207434318142077e-13 relative error = 3.277593539448837e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9785942886259905 y1[1] (numeric) = 0.9785942886257525 absolute error = 2.380318164796336e-13 relative error = 2.432385098157946e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.163999999999763 y2[1] (analytic) = 0.9775945286239636 y2[1] (numeric) = 0.9775945286236426 absolute error = 3.209654764191328e-13 relative error = 3.283216783863504e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9775945286239636 y1[1] (numeric) = 0.9775945286237254 absolute error = 2.381428387820961e-13 relative error = 2.436008302105574e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.164999999999762 y2[1] (analytic) = 0.9765947910274061 y2[1] (numeric) = 0.9765947910270849 absolute error = 3.211875210240578e-13 relative error = 3.288851466084098e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9765947910274061 y1[1] (numeric) = 0.9765947910271678 absolute error = 2.382538610845586e-13 relative error = 2.439638868377627e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.165999999999762 y2[1] (analytic) = 0.9755950768360556 y2[1] (numeric) = 0.9755950768357342 absolute error = 3.214095656289828e-13 relative error = 3.294497617508932e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9755950768360556 y1[1] (numeric) = 0.9755950768358173 absolute error = 2.383648833870211e-13 relative error = 2.443276816853774e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.166999999999762 y2[1] (analytic) = 0.9745953870496263 y2[1] (numeric) = 0.9745953870493047 absolute error = 3.216316102339078e-13 relative error = 3.300155269640429e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9745953870496263 y1[1] (numeric) = 0.9745953870493879 absolute error = 2.384759056894836e-13 relative error = 2.446922167479338e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.167999999999762 y2[1] (analytic) = 0.9735957226678078 y2[1] (numeric) = 0.9735957226674861 absolute error = 3.217426325363704e-13 relative error = 3.304684121400453e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9735957226678078 y1[1] (numeric) = 0.9735957226675693 absolute error = 2.384759056894836e-13 relative error = 2.44943460758046e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.168999999999762 y2[1] (analytic) = 0.9725960846902645 y2[1] (numeric) = 0.9725960846899425 absolute error = 3.219646771412954e-13 relative error = 3.310363697832787e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9725960846902645 y1[1] (numeric) = 0.9725960846900259 absolute error = 2.385869279919461e-13 relative error = 2.453093650566434e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.169999999999762 y2[1] (analytic) = 0.9715964741166342 y2[1] (numeric) = 0.971596474116312 absolute error = 3.221867217462204e-13 relative error = 3.316054867728389e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9715964741166342 y1[1] (numeric) = 0.9715964741163955 absolute error = 2.386979502944087e-13 relative error = 2.456760153554802e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.170999999999762 y2[1] (analytic) = 0.9705968919465273 y2[1] (numeric) = 0.970596891946205 absolute error = 3.222977440486829e-13 relative error = 3.320613807059658e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9705968919465273 y1[1] (numeric) = 0.9705968919462886 absolute error = 2.386979502944087e-13 relative error = 2.459290280805465e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.171999999999762 y2[1] (analytic) = 0.9695973391795262 y2[1] (numeric) = 0.9695973391792037 absolute error = 3.22519788653608e-13 relative error = 3.32632708054381e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9695973391795262 y1[1] (numeric) = 0.9695973391792874 absolute error = 2.388089725968712e-13 relative error = 2.462970585283902e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.172999999999762 y2[1] (analytic) = 0.9685978168151832 y2[1] (numeric) = 0.9685978168148606 absolute error = 3.226308109560705e-13 relative error = 3.330905824430856e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9685978168151832 y1[1] (numeric) = 0.9685978168149444 absolute error = 2.388089725968712e-13 relative error = 2.465512191448992e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.173999999999761 y2[1] (analytic) = 0.9675983258530209 y2[1] (numeric) = 0.967598325852698 absolute error = 3.228528555609955e-13 relative error = 3.336641320419535e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9675983258530209 y1[1] (numeric) = 0.9675983258527819 absolute error = 2.389199948993337e-13 relative error = 2.469206369168789e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.174999999999761 y2[1] (analytic) = 0.96659886729253 y2[1] (numeric) = 0.9665988672922069 absolute error = 3.230749001659206e-13 relative error = 3.342388565702153e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.96659886729253 y1[1] (numeric) = 0.9665988672922909 absolute error = 2.390310172017962e-13 relative error = 2.472908103765202e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.175999999999761 y2[1] (analytic) = 0.965599442133169 y2[1] (numeric) = 0.9655994421328458 absolute error = 3.231859224683831e-13 relative error = 3.34699781675942e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.965599442133169 y1[1] (numeric) = 0.9655994421329298 absolute error = 2.391420395042587e-13 relative error = 2.476617415767706e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.176999999999761 y2[1] (analytic) = 0.964600051374363 y2[1] (numeric) = 0.9646000513740396 absolute error = 3.234079670733081e-13 relative error = 3.352767466811931e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.964600051374363 y1[1] (numeric) = 0.9646000513741237 absolute error = 2.392530618067212e-13 relative error = 2.480334325774017e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.177999999999761 y2[1] (analytic) = 0.9636006960155027 y2[1] (numeric) = 0.9636006960151791 absolute error = 3.236300116782331e-13 relative error = 3.358548961374209e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9636006960155027 y1[1] (numeric) = 0.9636006960152633 absolute error = 2.393640841091838e-13 relative error = 2.484058854450358e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.178999999999761 y2[1] (analytic) = 0.9626013770559433 y2[1] (numeric) = 0.9626013770556195 absolute error = 3.237410339806956e-13 relative error = 3.363188976218147e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9626013770559433 y1[1] (numeric) = 0.9626013770557039 absolute error = 2.393640841091838e-13 relative error = 2.486637665544007e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.179999999999761 y2[1] (analytic) = 0.9616020954950039 y2[1] (numeric) = 0.9616020954946798 absolute error = 3.240741008880832e-13 relative error = 3.370147615176105e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9616020954950039 y1[1] (numeric) = 0.9616020954947643 absolute error = 2.395861287141088e-13 relative error = 2.491530850822211e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.180999999999761 y2[1] (analytic) = 0.9606028523319656 y2[1] (numeric) = 0.9606028523316413 absolute error = 3.242961454930082e-13 relative error = 3.375964840264057e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9606028523319656 y1[1] (numeric) = 0.9606028523317259 absolute error = 2.396971510165713e-13 relative error = 2.495278360195173e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.181999999999761 y2[1] (analytic) = 0.9596036485660717 y2[1] (numeric) = 0.9596036485657473 absolute error = 3.244071677954707e-13 relative error = 3.380637081572479e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9596036485660717 y1[1] (numeric) = 0.959603648565832 absolute error = 2.396971510165713e-13 relative error = 2.49787661160677e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18299999999976 y2[1] (analytic) = 0.958604485196526 y2[1] (numeric) = 0.9586044851962013 absolute error = 3.246292124003958e-13 relative error = 3.386477086364171e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.958604485196526 y1[1] (numeric) = 0.9586044851962862 absolute error = 2.398081733190338e-13 relative error = 2.50163834013222e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18399999999976 y2[1] (analytic) = 0.9576053632224916 y2[1] (numeric) = 0.9576053632221667 absolute error = 3.248512570053208e-13 relative error = 3.392329131409056e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9576053632224916 y1[1] (numeric) = 0.9576053632222516 absolute error = 2.399191956214963e-13 relative error = 2.505407810312703e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18499999999976 y2[1] (analytic) = 0.9566062836430904 y2[1] (numeric) = 0.9566062836427653 absolute error = 3.250733016102458e-13 relative error = 3.398193250124318e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9566062836430904 y1[1] (numeric) = 0.9566062836428504 absolute error = 2.400302179239588e-13 relative error = 2.509185043295347e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18599999999976 y2[1] (analytic) = 0.955607247457402 y2[1] (numeric) = 0.9556072474570767 absolute error = 3.252953462151709e-13 relative error = 3.404069476039334e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.955607247457402 y1[1] (numeric) = 0.9556072474571619 absolute error = 2.401412402264214e-13 relative error = 2.51297006029798e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18699999999976 y2[1] (analytic) = 0.9546082556644624 y2[1] (numeric) = 0.9546082556641369 absolute error = 3.255173908200959e-13 relative error = 3.409957842796122e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9546082556644624 y1[1] (numeric) = 0.9546082556642221 absolute error = 2.402522625288839e-13 relative error = 2.516762882609416e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18799999999976 y2[1] (analytic) = 0.9536093092632634 y2[1] (numeric) = 0.9536093092629376 absolute error = 3.257394354250209e-13 relative error = 3.415858384149791e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9536093092632634 y1[1] (numeric) = 0.953609309263023 absolute error = 2.403632848313464e-13 relative error = 2.52056353158974e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18899999999976 y2[1] (analytic) = 0.9526104092527512 y2[1] (numeric) = 0.9526104092524252 absolute error = 3.25961480029946e-13 relative error = 3.421771133969e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9526104092527512 y1[1] (numeric) = 0.9526104092525107 absolute error = 2.404743071338089e-13 relative error = 2.524372028670591e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18999999999976 y2[1] (analytic) = 0.9516115566318258 y2[1] (numeric) = 0.9516115566314997 absolute error = 3.26183524634871e-13 relative error = 3.427696126236411e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9516115566318258 y1[1] (numeric) = 0.9516115566315853 absolute error = 2.405853294362714e-13 relative error = 2.528188395355446e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.19099999999976 y2[1] (analytic) = 0.9506127523993398 y2[1] (numeric) = 0.9506127523990134 absolute error = 3.26405569239796e-13 relative error = 3.433633395049148e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9506127523993398 y1[1] (numeric) = 0.9506127523990991 absolute error = 2.406963517387339e-13 relative error = 2.532012653219916e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.191999999999759 y2[1] (analytic) = 0.9496139975540973 y2[1] (numeric) = 0.9496139975537707 absolute error = 3.265165915422585e-13 relative error = 3.438413843764531e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9496139975540973 y1[1] (numeric) = 0.9496139975538566 absolute error = 2.406963517387339e-13 relative error = 2.534675693057294e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.192999999999759 y2[1] (analytic) = 0.9486152930948529 y2[1] (numeric) = 0.9486152930945262 absolute error = 3.267386361471836e-13 relative error = 3.444374537555686e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9486152930948529 y1[1] (numeric) = 0.9486152930946121 absolute error = 2.408073740411965e-13 relative error = 2.538514567434007e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.193999999999759 y2[1] (analytic) = 0.9476166400203113 y2[1] (numeric) = 0.9476166400199844 absolute error = 3.269606807521086e-13 relative error = 3.450347608344029e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9476166400203113 y1[1] (numeric) = 0.9476166400200704 absolute error = 2.40918396343659e-13 relative error = 2.542361395621916e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.194999999999759 y2[1] (analytic) = 0.9466180393291252 y2[1] (numeric) = 0.9466180393287981 absolute error = 3.271827253570336e-13 relative error = 3.456333090682598e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9466180393291252 y1[1] (numeric) = 0.9466180393288842 absolute error = 2.410294186461215e-13 relative error = 2.54621619948148e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.195999999999759 y2[1] (analytic) = 0.9456194920198954 y2[1] (numeric) = 0.9456194920195681 absolute error = 3.272937476594961e-13 relative error = 3.461156949719582e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9456194920198954 y1[1] (numeric) = 0.9456194920196543 absolute error = 2.410294186461215e-13 relative error = 2.548904931425106e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.196999999999759 y2[1] (analytic) = 0.944620999091169 y2[1] (numeric) = 0.9446209990908415 absolute error = 3.275157922644212e-13 relative error = 3.467166118258306e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.944620999091169 y1[1] (numeric) = 0.9446209990909279 absolute error = 2.41140440948584e-13 relative error = 2.552774511476963e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.197999999999759 y2[1] (analytic) = 0.9436225615414389 y2[1] (numeric) = 0.9436225615411112 absolute error = 3.276268145668837e-13 relative error = 3.472011246018687e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9436225615414389 y1[1] (numeric) = 0.9436225615411977 absolute error = 2.41140440948584e-13 relative error = 2.555475576534256e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.198999999999759 y2[1] (analytic) = 0.9426241803691425 y2[1] (numeric) = 0.9426241803688147 absolute error = 3.278488591718087e-13 relative error = 3.478044230134425e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9426241803691425 y1[1] (numeric) = 0.9426241803689013 absolute error = 2.412514632510465e-13 relative error = 2.559360010864241e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.199999999999759 y2[1] (analytic) = 0.9416258565726611 y2[1] (numeric) = 0.941625856572333 absolute error = 3.280709037767338e-13 relative error = 3.484089795185207e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9416258565726611 y1[1] (numeric) = 0.9416258565724197 absolute error = 2.41362485553509e-13 relative error = 2.563252526136257e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.200999999999758 y2[1] (analytic) = 0.9406275911503181 y2[1] (numeric) = 0.9406275911499898 absolute error = 3.282929483816588e-13 relative error = 3.49014797641839e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9406275911503181 y1[1] (numeric) = 0.9406275911500767 absolute error = 2.414735078559715e-13 relative error = 2.567153144643219e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.201999999999758 y2[1] (analytic) = 0.9396293851003792 y2[1] (numeric) = 0.9396293851000507 absolute error = 3.285149929865838e-13 relative error = 3.496218809200918e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9396293851003792 y1[1] (numeric) = 0.9396293851001375 absolute error = 2.416955524608966e-13 relative error = 2.572243442930178e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.202999999999758 y2[1] (analytic) = 0.93863123942105 y2[1] (numeric) = 0.9386312394207214 absolute error = 3.286260152890463e-13 relative error = 3.501119518371706e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.93863123942105 y1[1] (numeric) = 0.9386312394208083 absolute error = 2.416955524608966e-13 relative error = 2.574978780910542e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.203999999999758 y2[1] (analytic) = 0.9376331551104763 y2[1] (numeric) = 0.9376331551101474 absolute error = 3.288480598939714e-13 relative error = 3.507214501765618e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9376331551104763 y1[1] (numeric) = 0.9376331551102345 absolute error = 2.418065747633591e-13 relative error = 2.578903843634543e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.204999999999758 y2[1] (analytic) = 0.9366351331667423 y2[1] (numeric) = 0.9366351331664132 absolute error = 3.290701044988964e-13 relative error = 3.513322240927668e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9366351331667423 y1[1] (numeric) = 0.9366351331665004 absolute error = 2.419175970658216e-13 relative error = 2.582837099521386e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.205999999999758 y2[1] (analytic) = 0.9356371745878699 y2[1] (numeric) = 0.9356371745875406 absolute error = 3.292921491038214e-13 relative error = 3.519442771701202e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9356371745878699 y1[1] (numeric) = 0.9356371745876279 absolute error = 2.420286193682841e-13 relative error = 2.586778571243635e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.206999999999758 y2[1] (analytic) = 0.9346392803718174 y2[1] (numeric) = 0.934639280371488 absolute error = 3.294031714062839e-13 relative error = 3.524388267474068e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9346392803718174 y1[1] (numeric) = 0.9346392803715754 absolute error = 2.420286193682841e-13 relative error = 2.589540418973195e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.207999999999758 y2[1] (analytic) = 0.9336414515164793 y2[1] (numeric) = 0.9336414515161496 absolute error = 3.29625216011209e-13 relative error = 3.530533219961592e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9336414515164793 y1[1] (numeric) = 0.9336414515162371 absolute error = 2.421396416707466e-13 relative error = 2.593497121164106e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.208999999999758 y2[1] (analytic) = 0.932643689019684 y2[1] (numeric) = 0.9326436890193541 absolute error = 3.29847260616134e-13 relative error = 3.53669106969288e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.932643689019684 y1[1] (numeric) = 0.9326436890194417 absolute error = 2.422506639732092e-13 relative error = 2.597462105038662e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.209999999999757 y2[1] (analytic) = 0.9316459938791941 y2[1] (numeric) = 0.931645993878864 absolute error = 3.30069305221059e-13 relative error = 3.542861852995409e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9316459938791941 y1[1] (numeric) = 0.9316459938789518 absolute error = 2.423616862756717e-13 relative error = 2.601435393571805e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.210999999999757 y2[1] (analytic) = 0.9306483670927047 y2[1] (numeric) = 0.9306483670923744 absolute error = 3.302913498259841e-13 relative error = 3.549045606320639e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9306483670927047 y1[1] (numeric) = 0.9306483670924622 absolute error = 2.424727085781342e-13 relative error = 2.605417009816563e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.211999999999757 y2[1] (analytic) = 0.9296508096578423 y2[1] (numeric) = 0.9296508096575119 absolute error = 3.304023721284466e-13 relative error = 3.554048129641829e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9296508096578423 y1[1] (numeric) = 0.9296508096575998 absolute error = 2.424727085781342e-13 relative error = 2.608212740301664e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.212999999999757 y2[1] (analytic) = 0.9286533225721645 y2[1] (numeric) = 0.9286533225718339 absolute error = 3.306244167333716e-13 relative error = 3.560256650109376e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9286533225721645 y1[1] (numeric) = 0.9286533225719219 absolute error = 2.425837308805967e-13 relative error = 2.612209798686698e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.213999999999757 y2[1] (analytic) = 0.9276559068331581 y2[1] (numeric) = 0.9276559068328273 absolute error = 3.308464613382966e-13 relative error = 3.566478248036429e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9276559068331581 y1[1] (numeric) = 0.9276559068329154 absolute error = 2.426947531830592e-13 relative error = 2.616215251747528e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.214999999999757 y2[1] (analytic) = 0.9266585634382388 y2[1] (numeric) = 0.9266585634379079 absolute error = 3.309574836407592e-13 relative error = 3.571514867491075e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9266585634382388 y1[1] (numeric) = 0.9266585634379961 absolute error = 2.426947531830592e-13 relative error = 2.619031029968296e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.215999999999757 y2[1] (analytic) = 0.9256612933847501 y2[1] (numeric) = 0.9256612933844189 absolute error = 3.311795282456842e-13 relative error = 3.577761440523254e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9256612933847501 y1[1] (numeric) = 0.9256612933845072 absolute error = 2.429167977879843e-13 relative error = 2.624251435422353e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.216999999999757 y2[1] (analytic) = 0.9246640976699617 y2[1] (numeric) = 0.9246640976696304 absolute error = 3.312905505481467e-13 relative error = 3.582820522424928e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9246640976699617 y1[1] (numeric) = 0.9246640976697188 absolute error = 2.429167977879843e-13 relative error = 2.627081535879941e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.217999999999757 y2[1] (analytic) = 0.9236669772910694 y2[1] (numeric) = 0.9236669772907379 absolute error = 3.315125951530717e-13 relative error = 3.58909220859375e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9236669772910694 y1[1] (numeric) = 0.9236669772908264 absolute error = 2.430278200904468e-13 relative error = 2.631119505898098e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.218999999999757 y2[1] (analytic) = 0.9226699332451934 y2[1] (numeric) = 0.9226699332448617 absolute error = 3.317346397579968e-13 relative error = 3.59537715281593e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9226699332451934 y1[1] (numeric) = 0.9226699332449503 absolute error = 2.431388423929093e-13 relative error = 2.635165985497619e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.219999999999756 y2[1] (analytic) = 0.9216729665293778 y2[1] (numeric) = 0.9216729665290458 absolute error = 3.319566843629218e-13 relative error = 3.601675392660449e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9216729665293778 y1[1] (numeric) = 0.9216729665291346 absolute error = 2.432498646953718e-13 relative error = 2.639220998434463e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.220999999999756 y2[1] (analytic) = 0.920676078140589 y2[1] (numeric) = 0.920676078140257 absolute error = 3.320677066653843e-13 relative error = 3.606781087828774e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.920676078140589 y1[1] (numeric) = 0.9206760781403458 absolute error = 2.432498646953718e-13 relative error = 2.642078690549262e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.221999999999756 y2[1] (analytic) = 0.9196792690757156 y2[1] (numeric) = 0.9196792690753833 absolute error = 3.322897512703094e-13 relative error = 3.613104725131653e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9196792690757156 y1[1] (numeric) = 0.9196792690754723 absolute error = 2.433608869978343e-13 relative error = 2.646149534743931e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.222999999999756 y2[1] (analytic) = 0.9186825403315664 y2[1] (numeric) = 0.9186825403312339 absolute error = 3.325117958752344e-13 relative error = 3.619441768809777e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9186825403315664 y1[1] (numeric) = 0.9186825403313229 absolute error = 2.434719093002968e-13 relative error = 2.650228981302117e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.223999999999756 y2[1] (analytic) = 0.91768589290487 y2[1] (numeric) = 0.9176858929045373 absolute error = 3.327338404801594e-13 relative error = 3.625792256944409e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.91768589290487 y1[1] (numeric) = 0.9176858929046264 absolute error = 2.435829316027593e-13 relative error = 2.654317054299644e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.224999999999756 y2[1] (analytic) = 0.9166893277922739 y2[1] (numeric) = 0.916689327791941 absolute error = 3.328448627826219e-13 relative error = 3.630945105297944e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9166893277922739 y1[1] (numeric) = 0.9166893277920303 absolute error = 2.435829316027593e-13 relative error = 2.65720265544486e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.225999999999756 y2[1] (analytic) = 0.9156928459903431 y2[1] (numeric) = 0.91569284599001 absolute error = 3.33066907387547e-13 relative error = 3.637321279138392e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9156928459903431 y1[1] (numeric) = 0.9156928459900994 absolute error = 2.436939539052219e-13 relative error = 2.661306735902924e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.226999999999756 y2[1] (analytic) = 0.9146964484955592 y2[1] (numeric) = 0.9146964484952259 absolute error = 3.33288951992472e-13 relative error = 3.643711009708705e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9146964484955592 y1[1] (numeric) = 0.9146964484953154 absolute error = 2.438049762076844e-13 relative error = 2.665419512764928e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.227999999999756 y2[1] (analytic) = 0.9137001363043198 y2[1] (numeric) = 0.9137001363039863 absolute error = 3.33510996597397e-13 relative error = 3.650114335610833e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9137001363043198 y1[1] (numeric) = 0.9137001363040759 absolute error = 2.439159985101469e-13 relative error = 2.669541010431758e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.228999999999755 y2[1] (analytic) = 0.9127039104129367 y2[1] (numeric) = 0.9127039104126031 absolute error = 3.336220188998595e-13 relative error = 3.655314884636773e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9127039104129367 y1[1] (numeric) = 0.9127039104126928 absolute error = 2.439159985101469e-13 relative error = 2.672454842444922e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.229999999999755 y2[1] (analytic) = 0.9117077718176362 y2[1] (numeric) = 0.9117077718173023 absolute error = 3.338440635047846e-13 relative error = 3.661744188482815e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9117077718176362 y1[1] (numeric) = 0.9117077718173922 absolute error = 2.440270208126094e-13 relative error = 2.676592526200608e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.230999999999755 y2[1] (analytic) = 0.9107117215145564 y2[1] (numeric) = 0.9107117215142223 absolute error = 3.340661081097096e-13 relative error = 3.668187201479542e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9107117215145564 y1[1] (numeric) = 0.9107117215143122 absolute error = 2.441380431150719e-13 relative error = 2.680739001679465e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.231999999999755 y2[1] (analytic) = 0.9097157604997476 y2[1] (numeric) = 0.9097157604994134 absolute error = 3.341771304121721e-13 relative error = 3.673423556261064e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9097157604997476 y1[1] (numeric) = 0.9097157604995034 absolute error = 2.441380431150719e-13 relative error = 2.683673887115641e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.232999999999755 y2[1] (analytic) = 0.9087198897691707 y2[1] (numeric) = 0.9087198897688364 absolute error = 3.342881527146346e-13 relative error = 3.678671023691901e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9087198897691707 y1[1] (numeric) = 0.9087198897689266 absolute error = 2.441380431150719e-13 relative error = 2.686614938923444e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.233999999999755 y2[1] (analytic) = 0.9077241103186966 y2[1] (numeric) = 0.9077241103183621 absolute error = 3.345101973195597e-13 relative error = 3.685152718947997e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9077241103186966 y1[1] (numeric) = 0.9077241103184523 absolute error = 2.442490654175344e-13 relative error = 2.690785257778159e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.234999999999755 y2[1] (analytic) = 0.9067284231441044 y2[1] (numeric) = 0.9067284231437697 absolute error = 3.347322419244847e-13 relative error = 3.691648275056736e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9067284231441044 y1[1] (numeric) = 0.90672842314386 absolute error = 2.44360087719997e-13 relative error = 2.694964462155846e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.235999999999755 y2[1] (analytic) = 0.9057328292410813 y2[1] (numeric) = 0.9057328292407464 absolute error = 3.349542865294097e-13 relative error = 3.698157731679769e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9057328292410813 y1[1] (numeric) = 0.9057328292408369 absolute error = 2.444711100224595e-13 relative error = 2.69915257711596e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.236999999999755 y2[1] (analytic) = 0.9047373296052211 y2[1] (numeric) = 0.904737329604886 absolute error = 3.351763311343348e-13 relative error = 3.704681128616499e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9047373296052211 y1[1] (numeric) = 0.9047373296049765 absolute error = 2.44582132324922e-13 relative error = 2.703349627804619e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.237999999999754 y2[1] (analytic) = 0.9037419252320233 y2[1] (numeric) = 0.9037419252316881 absolute error = 3.352873534367973e-13 relative error = 3.709990032284015e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9037419252320233 y1[1] (numeric) = 0.9037419252317788 absolute error = 2.44582132324922e-13 relative error = 2.706327165934333e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.238999999999754 y2[1] (analytic) = 0.9027466171168924 y2[1] (numeric) = 0.9027466171165569 absolute error = 3.355093980417223e-13 relative error = 3.716540075367336e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9027466171168924 y1[1] (numeric) = 0.9027466171166477 absolute error = 2.446931546273845e-13 relative error = 2.71054080943402e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.239999999999754 y2[1] (analytic) = 0.9017514062551362 y2[1] (numeric) = 0.9017514062548005 absolute error = 3.356204203441848e-13 relative error = 3.721872990894193e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9017514062551362 y1[1] (numeric) = 0.9017514062548915 absolute error = 2.446931546273845e-13 relative error = 2.713532276523586e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.240999999999754 y2[1] (analytic) = 0.9007562936419655 y2[1] (numeric) = 0.9007562936416297 absolute error = 3.358424649491099e-13 relative error = 3.72844982954514e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.9007562936419655 y1[1] (numeric) = 0.9007562936417207 absolute error = 2.44804176929847e-13 relative error = 2.717762603023813e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.241999999999754 y2[1] (analytic) = 0.8997612802724929 y2[1] (numeric) = 0.899761280272157 absolute error = 3.359534872515724e-13 relative error = 3.733806895422626e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8997612802724929 y1[1] (numeric) = 0.8997612802722481 absolute error = 2.44804176929847e-13 relative error = 2.720768078125211e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.242999999999754 y2[1] (analytic) = 0.8987663671417317 y2[1] (numeric) = 0.8987663671413956 absolute error = 3.361755318564974e-13 relative error = 3.740410680092615e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8987663671417317 y1[1] (numeric) = 0.8987663671414868 absolute error = 2.449151992323095e-13 relative error = 2.725015178429428e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.243999999999754 y2[1] (analytic) = 0.897771555244595 y2[1] (numeric) = 0.8977715552442586 absolute error = 3.363975764614224e-13 relative error = 3.747028678913446e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.897771555244595 y1[1] (numeric) = 0.8977715552443499 absolute error = 2.45026221534772e-13 relative error = 2.72927138427788e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.244999999999754 y2[1] (analytic) = 0.8967768455758944 y2[1] (numeric) = 0.8967768455755578 absolute error = 3.366196210663475e-13 relative error = 3.753660932783966e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8967768455758944 y1[1] (numeric) = 0.8967768455756493 absolute error = 2.451372438372346e-13 relative error = 2.733536721499669e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.245999999999754 y2[1] (analytic) = 0.8957822391303397 y2[1] (numeric) = 0.8957822391300029 absolute error = 3.368416656712725e-13 relative error = 3.760307482745935e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8957822391303397 y1[1] (numeric) = 0.8957822391300945 absolute error = 2.452482661396971e-13 relative error = 2.737811216013767e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.246999999999753 y2[1] (analytic) = 0.8947877369025372 y2[1] (numeric) = 0.8947877369022001 absolute error = 3.370637102761975e-13 relative error = 3.766968369984618e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8947877369025372 y1[1] (numeric) = 0.8947877369022919 absolute error = 2.453592884421596e-13 relative error = 2.742094893829382e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.247999999999753 y2[1] (analytic) = 0.8937933398869889 y2[1] (numeric) = 0.8937933398866518 absolute error = 3.3717473257866e-13 relative error = 3.772401488483818e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8937933398869889 y1[1] (numeric) = 0.8937933398867436 absolute error = 2.453592884421596e-13 relative error = 2.74514563370077e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.248999999999753 y2[1] (analytic) = 0.892799049078092 y2[1] (numeric) = 0.8927990490777546 absolute error = 3.373967771835851e-13 relative error = 3.779089791056368e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.892799049078092 y1[1] (numeric) = 0.8927990490778466 absolute error = 2.454703107446221e-13 relative error = 2.749446373157496e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.249999999999753 y2[1] (analytic) = 0.891804865470137 y2[1] (numeric) = 0.8918048654697995 absolute error = 3.375077994860476e-13 relative error = 3.784547635408133e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.891804865470137 y1[1] (numeric) = 0.8918048654698916 absolute error = 2.454703107446221e-13 relative error = 2.752511454568218e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.250999999999753 y2[1] (analytic) = 0.8908107900573077 y2[1] (numeric) = 0.8908107900569699 absolute error = 3.377298440909726e-13 relative error = 3.791263508036828e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8908107900573077 y1[1] (numeric) = 0.8908107900570621 absolute error = 2.455813330470846e-13 relative error = 2.756829349039271e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.251999999999753 y2[1] (analytic) = 0.8898168238336791 y2[1] (numeric) = 0.8898168238333412 absolute error = 3.379518886958977e-13 relative error = 3.797993920140425e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8898168238336791 y1[1] (numeric) = 0.8898168238334334 absolute error = 2.456923553495471e-13 relative error = 2.761156552322852e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.252999999999753 y2[1] (analytic) = 0.8888229677932175 y2[1] (numeric) = 0.8888229677928794 absolute error = 3.380629109983602e-13 relative error = 3.803489820224917e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8888229677932175 y1[1] (numeric) = 0.8888229677929718 absolute error = 2.456923553495471e-13 relative error = 2.764243997424545e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.253999999999753 y2[1] (analytic) = 0.8878292229297788 y2[1] (numeric) = 0.8878292229294406 absolute error = 3.382849556032852e-13 relative error = 3.810248039448024e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8878292229297788 y1[1] (numeric) = 0.887829222929533 absolute error = 2.458033776520097e-13 relative error = 2.768588499946808e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.254999999999753 y2[1] (analytic) = 0.8868355902371079 y2[1] (numeric) = 0.8868355902367694 absolute error = 3.385070002082102e-13 relative error = 3.817020921743856e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8868355902371079 y1[1] (numeric) = 0.886835590236862 absolute error = 2.459143999544722e-13 relative error = 2.772942388213395e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.255999999999752 y2[1] (analytic) = 0.8858420707088372 y2[1] (numeric) = 0.8858420707084986 absolute error = 3.386180225106727e-13 relative error = 3.822555212801259e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8858420707088372 y1[1] (numeric) = 0.8858420707085913 absolute error = 2.459143999544722e-13 relative error = 2.776052392247472e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.256999999999752 y2[1] (analytic) = 0.8848486653384864 y2[1] (numeric) = 0.8848486653381477 absolute error = 3.387290448131353e-13 relative error = 3.828101437928476e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8848486653384864 y1[1] (numeric) = 0.8848486653382405 absolute error = 2.459143999544722e-13 relative error = 2.779169021636045e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.257999999999752 y2[1] (analytic) = 0.8838553751194607 y2[1] (numeric) = 0.8838553751191217 absolute error = 3.389510894180603e-13 relative error = 3.834915744810039e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8838553751194607 y1[1] (numeric) = 0.8838553751192146 absolute error = 2.460254222569347e-13 relative error = 2.783548408286619e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.258999999999752 y2[1] (analytic) = 0.8828622010450501 y2[1] (numeric) = 0.8828622010447109 absolute error = 3.391731340229853e-13 relative error = 3.841744879569017e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8828622010450501 y1[1] (numeric) = 0.882862201044804 absolute error = 2.461364445593972e-13 relative error = 2.787937282489201e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.259999999999752 y2[1] (analytic) = 0.8818691441084286 y2[1] (numeric) = 0.8818691441080894 absolute error = 3.392841563254478e-13 relative error = 3.847329942227027e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8818691441084286 y1[1] (numeric) = 0.8818691441081825 absolute error = 2.461364445593972e-13 relative error = 2.791076728376086e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.260999999999752 y2[1] (analytic) = 0.8808762053026534 y2[1] (numeric) = 0.8808762053023138 absolute error = 3.396172232328354e-13 relative error = 3.855447805133401e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8808762053026534 y1[1] (numeric) = 0.8808762053024071 absolute error = 2.463584891643222e-13 relative error = 2.796743602350773e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.261999999999752 y2[1] (analytic) = 0.8798833856206628 y2[1] (numeric) = 0.8798833856203231 absolute error = 3.397282455352979e-13 relative error = 3.861059898246133e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8798833856206628 y1[1] (numeric) = 0.8798833856204165 absolute error = 2.463584891643222e-13 relative error = 2.799899318368682e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.262999999999752 y2[1] (analytic) = 0.8788906860552766 y2[1] (numeric) = 0.8788906860549367 absolute error = 3.399502901402229e-13 relative error = 3.867947351519006e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8788906860552766 y1[1] (numeric) = 0.8788906860550302 absolute error = 2.464695114667848e-13 relative error = 2.804324990324034e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.263999999999752 y2[1] (analytic) = 0.8778981075991943 y2[1] (numeric) = 0.8778981075988542 absolute error = 3.400613124426854e-13 relative error = 3.873585208796702e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8778981075991943 y1[1] (numeric) = 0.8778981075989478 absolute error = 2.464695114667848e-13 relative error = 2.80749564594472e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.264999999999751 y2[1] (analytic) = 0.8769056512449942 y2[1] (numeric) = 0.8769056512446539 absolute error = 3.402833570476105e-13 relative error = 3.880501357979508e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8769056512449942 y1[1] (numeric) = 0.8769056512447476 absolute error = 2.465805337692473e-13 relative error = 2.811939156956766e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.265999999999751 y2[1] (analytic) = 0.8759133179851326 y2[1] (numeric) = 0.8759133179847921 absolute error = 3.405054016525355e-13 relative error = 3.887432633582986e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8759133179851326 y1[1] (numeric) = 0.8759133179848859 absolute error = 2.466915560717098e-13 relative error = 2.816392341643754e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.266999999999751 y2[1] (analytic) = 0.8749211088119426 y2[1] (numeric) = 0.874921108811602 absolute error = 3.40616423954998e-13 relative error = 3.893110139010383e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8749211088119426 y1[1] (numeric) = 0.8749211088116959 absolute error = 2.466915560717098e-13 relative error = 2.819586287118993e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.267999999999751 y2[1] (analytic) = 0.8739290247176335 y2[1] (numeric) = 0.8739290247172926 absolute error = 3.408384685599231e-13 relative error = 3.900070359489982e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8739290247176335 y1[1] (numeric) = 0.8739290247173866 absolute error = 2.468025783741723e-13 relative error = 2.824057462262616e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.268999999999751 y2[1] (analytic) = 0.8729370666942891 y2[1] (numeric) = 0.872937066693948 absolute error = 3.410605131648481e-13 relative error = 3.907045836149501e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8729370666942891 y1[1] (numeric) = 0.8729370666940421 absolute error = 2.469136006766348e-13 relative error = 2.828538391795732e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.269999999999751 y2[1] (analytic) = 0.8719452357338674 y2[1] (numeric) = 0.8719452357335261 absolute error = 3.412825577697731e-13 relative error = 3.914036613578544e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8719452357338674 y1[1] (numeric) = 0.8719452357336204 absolute error = 2.470246229790973e-13 relative error = 2.833029103842635e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.270999999999751 y2[1] (analytic) = 0.8709535328281993 y2[1] (numeric) = 0.8709535328278578 absolute error = 3.415046023746982e-13 relative error = 3.921042736525209e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8709535328281993 y1[1] (numeric) = 0.8709535328279522 absolute error = 2.471356452815598e-13 relative error = 2.837529626627151e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.271999999999751 y2[1] (analytic) = 0.8699619589689876 y2[1] (numeric) = 0.8699619589686459 absolute error = 3.417266469796232e-13 relative error = 3.928064249896759e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8699619589689876 y1[1] (numeric) = 0.8699619589687404 absolute error = 2.472466675840224e-13 relative error = 2.842039988473062e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.272999999999751 y2[1] (analytic) = 0.8689705151478062 y2[1] (numeric) = 0.8689705151474643 absolute error = 3.419486915845482e-13 relative error = 3.935101198760294e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8689705151478062 y1[1] (numeric) = 0.8689705151475589 absolute error = 2.473576898864849e-13 relative error = 2.846560217804524e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27399999999975 y2[1] (analytic) = 0.8679792023560986 y2[1] (numeric) = 0.8679792023557565 absolute error = 3.420597138870107e-13 relative error = 3.940874538911783e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8679792023560986 y1[1] (numeric) = 0.8679792023558512 absolute error = 2.473576898864849e-13 relative error = 2.84981125371485e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27499999999975 y2[1] (analytic) = 0.8669880215851777 y2[1] (numeric) = 0.8669880215848355 absolute error = 3.422817584919358e-13 relative error = 3.9479410322892e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8669880215851777 y1[1] (numeric) = 0.8669880215849303 absolute error = 2.474687121889474e-13 relative error = 2.854349841379379e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27599999999975 y2[1] (analytic) = 0.8659969738262242 y2[1] (numeric) = 0.8659969738258817 absolute error = 3.425038030968608e-13 relative error = 3.955023094175264e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8659969738262242 y1[1] (numeric) = 0.8659969738259766 absolute error = 2.475797344914099e-13 relative error = 2.85889837925797e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27699999999975 y2[1] (analytic) = 0.8650060600702857 y2[1] (numeric) = 0.865006060069943 absolute error = 3.427258477017858e-13 relative error = 3.962120770274578e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8650060600702857 y1[1] (numeric) = 0.865006060070038 absolute error = 2.476907567938724e-13 relative error = 2.863456896171877e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27799999999975 y2[1] (analytic) = 0.8640152813082758 y2[1] (numeric) = 0.8640152813079329 absolute error = 3.428368700042483e-13 relative error = 3.967949148829072e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8640152813082758 y1[1] (numeric) = 0.8640152813080281 absolute error = 2.476907567938724e-13 relative error = 2.866740463418931e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27899999999975 y2[1] (analytic) = 0.8630246385309732 y2[1] (numeric) = 0.8630246385306303 absolute error = 3.429478923067109e-13 relative error = 3.973790283559822e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8630246385309732 y1[1] (numeric) = 0.8630246385307255 absolute error = 2.476907567938724e-13 relative error = 2.870031117715106e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27999999999975 y2[1] (analytic) = 0.8620341327290207 y2[1] (numeric) = 0.8620341327286777 absolute error = 3.430589146091734e-13 relative error = 3.97964421110705e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8620341327290207 y1[1] (numeric) = 0.8620341327287729 absolute error = 2.478017790963349e-13 relative error = 2.87461678938218e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.28099999999975 y2[1] (analytic) = 0.8610437648929241 y2[1] (numeric) = 0.8610437648925808 absolute error = 3.432809592140984e-13 relative error = 3.986800360336938e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8610437648929241 y1[1] (numeric) = 0.8610437648926762 absolute error = 2.479128013987975e-13 relative error = 2.879212550010473e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.28199999999975 y2[1] (analytic) = 0.8600535360130509 y2[1] (numeric) = 0.8600535360127075 absolute error = 3.433919815165609e-13 relative error = 3.992681468509771e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8600535360130509 y1[1] (numeric) = 0.860053536012803 absolute error = 2.479128013987975e-13 relative error = 2.882527552273624e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.282999999999749 y2[1] (analytic) = 0.8590634470796301 y2[1] (numeric) = 0.8590634470792865 absolute error = 3.436140261214859e-13 relative error = 3.999867847824224e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8590634470796301 y1[1] (numeric) = 0.8590634470793821 absolute error = 2.4802382370126e-13 relative error = 2.887142091127404e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.283999999999749 y2[1] (analytic) = 0.8580734990827504 y2[1] (numeric) = 0.8580734990824067 absolute error = 3.437250484239485e-13 relative error = 4.005776297617606e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8580734990827504 y1[1] (numeric) = 0.8580734990825024 absolute error = 2.4802382370126e-13 relative error = 2.890472948603919e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.284999999999749 y2[1] (analytic) = 0.8570836930123599 y2[1] (numeric) = 0.8570836930120159 absolute error = 3.439470930288735e-13 relative error = 4.012993081457606e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8570836930123599 y1[1] (numeric) = 0.8570836930121117 absolute error = 2.481348460037225e-13 relative error = 2.895106370903083e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.285999999999749 y2[1] (analytic) = 0.8560940298582643 y2[1] (numeric) = 0.8560940298579203 absolute error = 3.44058115331336e-13 relative error = 4.018929035030165e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8560940298582643 y1[1] (numeric) = 0.8560940298580162 absolute error = 2.481348460037225e-13 relative error = 2.898453176280226e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.286999999999749 y2[1] (analytic) = 0.855104510610127 y2[1] (numeric) = 0.8551045106097828 absolute error = 3.44280159936261e-13 relative error = 4.0261763990768e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.855104510610127 y1[1] (numeric) = 0.8551045106098788 absolute error = 2.48245868306185e-13 relative error = 2.903105587983142e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.287999999999749 y2[1] (analytic) = 0.854115136257467 y2[1] (numeric) = 0.8541151362571225 absolute error = 3.445022045411861e-13 relative error = 4.033439871475809e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.854115136257467 y1[1] (numeric) = 0.8541151362572187 absolute error = 2.483568906086475e-13 relative error = 2.907768286333027e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.288999999999749 y2[1] (analytic) = 0.8531259077896586 y2[1] (numeric) = 0.853125907789314 absolute error = 3.446132268436486e-13 relative error = 4.0394181409459e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8531259077896586 y1[1] (numeric) = 0.8531259077894102 absolute error = 2.483568906086475e-13 relative error = 2.911139942427828e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.289999999999749 y2[1] (analytic) = 0.8521368261959301 y2[1] (numeric) = 0.8521368261955853 absolute error = 3.448352714485736e-13 relative error = 4.046712462691835e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8521368261959301 y1[1] (numeric) = 0.8521368261956817 absolute error = 2.4846791291111e-13 relative error = 2.915821793787613e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.290999999999749 y2[1] (analytic) = 0.851147892465363 y2[1] (numeric) = 0.8511478924650181 absolute error = 3.449462937510361e-13 relative error = 4.052718649774175e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.851147892465363 y1[1] (numeric) = 0.8511478924651146 absolute error = 2.4846791291111e-13 relative error = 2.919209635724044e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.291999999999748 y2[1] (analytic) = 0.8501591075868913 y2[1] (numeric) = 0.8501591075865461 absolute error = 3.451683383559612e-13 relative error = 4.060043999713111e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8501591075868913 y1[1] (numeric) = 0.8501591075866426 absolute error = 2.486899575160351e-13 relative error = 2.925216648233313e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.292999999999748 y2[1] (analytic) = 0.8491704725492993 y2[1] (numeric) = 0.8491704725489541 absolute error = 3.452793606584237e-13 relative error = 4.066078270737072e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8491704725492993 y1[1] (numeric) = 0.8491704725490505 absolute error = 2.488009798184976e-13 relative error = 2.929929712129189e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.293999999999748 y2[1] (analytic) = 0.8481819883412223 y2[1] (numeric) = 0.8481819883408769 absolute error = 3.453903829608862e-13 relative error = 4.072125884638996e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8481819883412223 y1[1] (numeric) = 0.8481819883409735 absolute error = 2.488009798184976e-13 relative error = 2.93334429684217e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.294999999999748 y2[1] (analytic) = 0.8471936559511442 y2[1] (numeric) = 0.8471936559507987 absolute error = 3.455014052633487e-13 relative error = 4.078186880134913e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8471936559511442 y1[1] (numeric) = 0.8471936559508954 absolute error = 2.488009798184976e-13 relative error = 2.936766323387641e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.295999999999748 y2[1] (analytic) = 0.8462054763673975 y2[1] (numeric) = 0.8462054763670518 absolute error = 3.457234498682737e-13 relative error = 4.085573297781056e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8462054763673975 y1[1] (numeric) = 0.8462054763671486 absolute error = 2.489120021209601e-13 relative error = 2.941507814266258e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.296999999999748 y2[1] (analytic) = 0.8452174505781616 y2[1] (numeric) = 0.8452174505778157 absolute error = 3.458344721707363e-13 relative error = 4.091662706847475e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8452174505781616 y1[1] (numeric) = 0.8452174505779126 absolute error = 2.489120021209601e-13 relative error = 2.944946320626658e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.297999999999748 y2[1] (analytic) = 0.8442295795714622 y2[1] (numeric) = 0.8442295795711161 absolute error = 3.460565167756613e-13 relative error = 4.099080690246869e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8442295795714622 y1[1] (numeric) = 0.8442295795712131 absolute error = 2.490230244234226e-13 relative error = 2.949707407194009e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.298999999999748 y2[1] (analytic) = 0.8432418643351702 y2[1] (numeric) = 0.843241864334824 absolute error = 3.462785613805863e-13 relative error = 4.106515295627545e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8432418643351702 y1[1] (numeric) = 0.8432418643349211 absolute error = 2.491340467258851e-13 relative error = 2.954479103362683e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.299999999999748 y2[1] (analytic) = 0.8422543058570009 y2[1] (numeric) = 0.8422543058566544 absolute error = 3.465006059855114e-13 relative error = 4.113966572518072e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8422543058570009 y1[1] (numeric) = 0.8422543058567517 absolute error = 2.492450690283476e-13 relative error = 2.959261440340619e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.300999999999747 y2[1] (analytic) = 0.8412669051245125 y2[1] (numeric) = 0.8412669051241659 absolute error = 3.466116282879739e-13 relative error = 4.120114866953827e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8412669051245125 y1[1] (numeric) = 0.8412669051242633 absolute error = 2.492450690283476e-13 relative error = 2.962734745775574e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.301999999999747 y2[1] (analytic) = 0.8402796631251058 y2[1] (numeric) = 0.840279663124759 absolute error = 3.468336728928989e-13 relative error = 4.127598085653779e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8402796631251058 y1[1] (numeric) = 0.8402796631248565 absolute error = 2.493560913308102e-13 relative error = 2.967536907931622e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.302999999999747 y2[1] (analytic) = 0.8392925808460228 y2[1] (numeric) = 0.8392925808456757 absolute error = 3.470557174978239e-13 relative error = 4.135098122135015e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8392925808460228 y1[1] (numeric) = 0.8392925808457733 absolute error = 2.494671136332727e-13 relative error = 2.972349801803384e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.303999999999747 y2[1] (analytic) = 0.8383056592743453 y2[1] (numeric) = 0.8383056592739981 absolute error = 3.471667398002865e-13 relative error = 4.141290661222556e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8383056592743453 y1[1] (numeric) = 0.8383056592740958 absolute error = 2.494671136332727e-13 relative error = 2.975849093625547e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.304999999999747 y2[1] (analytic) = 0.8373188993969952 y2[1] (numeric) = 0.8373188993966478 absolute error = 3.473887844052115e-13 relative error = 4.148822923445147e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8373188993969952 y1[1] (numeric) = 0.8373188993967456 absolute error = 2.495781359357352e-13 relative error = 2.980681985268358e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.305999999999747 y2[1] (analytic) = 0.8363323022007322 y2[1] (numeric) = 0.8363323022003846 absolute error = 3.476108290101365e-13 relative error = 4.156372151301944e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8363323022007322 y1[1] (numeric) = 0.8363323022004825 absolute error = 2.496891582381977e-13 relative error = 2.985525700504016e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.306999999999747 y2[1] (analytic) = 0.8353458686721532 y2[1] (numeric) = 0.8353458686718055 absolute error = 3.47721851312599e-13 relative error = 4.162609337678652e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8353458686721532 y1[1] (numeric) = 0.8353458686719035 absolute error = 2.496891582381977e-13 relative error = 2.989051213422506e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.307999999999747 y2[1] (analytic) = 0.8343595997976919 y2[1] (numeric) = 0.834359599797344 absolute error = 3.479438959175241e-13 relative error = 4.17019107830593e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8343595997976919 y1[1] (numeric) = 0.8343595997974421 absolute error = 2.498001805406602e-13 relative error = 2.993915100889707e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.308999999999747 y2[1] (analytic) = 0.833373496563617 y2[1] (numeric) = 0.8333734965632689 absolute error = 3.481659405224491e-13 relative error = 4.177789934022353e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.833373496563617 y1[1] (numeric) = 0.8333734965633671 absolute error = 2.499112028431227e-13 relative error = 2.998789904810049e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.309999999999746 y2[1] (analytic) = 0.8323875599560316 y2[1] (numeric) = 0.8323875599556834 absolute error = 3.482769628249116e-13 relative error = 4.184072174784884e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8323875599560316 y1[1] (numeric) = 0.8323875599557817 absolute error = 2.499112028431227e-13 relative error = 3.002341876136683e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.310999999999746 y2[1] (analytic) = 0.8314017909608724 y2[1] (numeric) = 0.8314017909605239 absolute error = 3.484990074298366e-13 relative error = 4.191703833438552e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8314017909608724 y1[1] (numeric) = 0.8314017909606224 absolute error = 2.500222251455853e-13 relative error = 3.007237028640847e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.311999999999746 y2[1] (analytic) = 0.8304161905639081 y2[1] (numeric) = 0.8304161905635594 absolute error = 3.487210520347617e-13 relative error = 4.199352758259166e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8304161905639081 y1[1] (numeric) = 0.830416190563658 absolute error = 2.501332474480478e-13 relative error = 3.012143191454282e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.312999999999746 y2[1] (analytic) = 0.8294307597507391 y2[1] (numeric) = 0.8294307597503903 absolute error = 3.488320743372242e-13 relative error = 4.205680465022244e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8294307597507391 y1[1] (numeric) = 0.829430759750489 absolute error = 2.501332474480478e-13 relative error = 3.015721861137848e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.313999999999746 y2[1] (analytic) = 0.8284454995067961 y2[1] (numeric) = 0.8284454995064472 absolute error = 3.489430966396867e-13 relative error = 4.212022358108352e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8284454995067961 y1[1] (numeric) = 0.828445499506546 absolute error = 2.501332474480478e-13 relative error = 3.019308422786547e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.314999999999746 y2[1] (analytic) = 0.8274604108173395 y2[1] (numeric) = 0.8274604108169903 absolute error = 3.491651412446117e-13 relative error = 4.219720202682777e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8274604108173395 y1[1] (numeric) = 0.8274604108170892 absolute error = 2.502442697505103e-13 relative error = 3.024244622208896e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.315999999999746 y2[1] (analytic) = 0.8264754946674575 y2[1] (numeric) = 0.8264754946671081 absolute error = 3.493871858495368e-13 relative error = 4.227435515073765e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8264754946674575 y1[1] (numeric) = 0.8264754946672072 absolute error = 2.503552920529728e-13 relative error = 3.029191956304842e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.316999999999746 y2[1] (analytic) = 0.8254907520420663 y2[1] (numeric) = 0.8254907520417168 absolute error = 3.494982081519993e-13 relative error = 4.233823423065909e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8254907520420663 y1[1] (numeric) = 0.825490752041816 absolute error = 2.503552920529728e-13 relative error = 3.032805533358839e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.317999999999746 y2[1] (analytic) = 0.8245061839259087 y2[1] (numeric) = 0.824506183925559 absolute error = 3.497202527569243e-13 relative error = 4.241572223166621e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8245061839259087 y1[1] (numeric) = 0.8245061839256582 absolute error = 2.504663143554353e-13 relative error = 3.037773630305998e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.318999999999745 y2[1] (analytic) = 0.8235217913035525 y2[1] (numeric) = 0.8235217913032026 absolute error = 3.499422973618493e-13 relative error = 4.249338646011124e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8235217913035525 y1[1] (numeric) = 0.8235217913033019 absolute error = 2.505773366578978e-13 relative error = 3.042752958136773e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.319999999999745 y2[1] (analytic) = 0.8225375751593903 y2[1] (numeric) = 0.8225375751590401 absolute error = 3.501643419667744e-13 relative error = 4.257122744804941e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8225375751593903 y1[1] (numeric) = 0.8225375751591396 absolute error = 2.506883589603603e-13 relative error = 3.047743550339111e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.320999999999745 y2[1] (analytic) = 0.8215535364776381 y2[1] (numeric) = 0.8215535364772878 absolute error = 3.502753642692369e-13 relative error = 4.263573202679178e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8215535364776381 y1[1] (numeric) = 0.8215535364773874 absolute error = 2.506883589603603e-13 relative error = 3.051394070253434e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.321999999999745 y2[1] (analytic) = 0.8205696762423346 y2[1] (numeric) = 0.8205696762419841 absolute error = 3.504974088741619e-13 relative error = 4.271391193484115e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8205696762423346 y1[1] (numeric) = 0.8205696762420838 absolute error = 2.507993812628229e-13 relative error = 3.05640567186589e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.322999999999745 y2[1] (analytic) = 0.8195859954373399 y2[1] (numeric) = 0.8195859954369892 absolute error = 3.50719453479087e-13 relative error = 4.279227017439937e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8195859954373399 y1[1] (numeric) = 0.819585995437089 absolute error = 2.509104035652854e-13 relative error = 3.06142863545877e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.323999999999745 y2[1] (analytic) = 0.8186024950463346 y2[1] (numeric) = 0.8186024950459838 absolute error = 3.508304757815495e-13 relative error = 4.285724486604353e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8186024950463346 y1[1] (numeric) = 0.8186024950460837 absolute error = 2.509104035652854e-13 relative error = 3.065106753077797e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.324999999999745 y2[1] (analytic) = 0.8176191760528193 y2[1] (numeric) = 0.8176191760524683 absolute error = 3.510525203864745e-13 relative error = 4.29359450791301e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8176191760528193 y1[1] (numeric) = 0.8176191760525683 absolute error = 2.510214258677479e-13 relative error = 3.070150911572206e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.325999999999745 y2[1] (analytic) = 0.8166360394401128 y2[1] (numeric) = 0.8166360394397615 absolute error = 3.512745649913995e-13 relative error = 4.301482521298399e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8166360394401128 y1[1] (numeric) = 0.8166360394398616 absolute error = 2.511324481702104e-13 relative error = 3.075206530713331e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.326999999999745 y2[1] (analytic) = 0.8156530861913515 y2[1] (numeric) = 0.815653086191 absolute error = 3.514966095963246e-13 relative error = 4.309388581334489e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8156530861913515 y1[1] (numeric) = 0.8156530861911002 absolute error = 2.512434704726729e-13 relative error = 3.080273644838897e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.327999999999744 y2[1] (analytic) = 0.8146703172894886 y2[1] (numeric) = 0.814670317289137 absolute error = 3.516076318987871e-13 relative error = 4.315949954683881e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8146703172894886 y1[1] (numeric) = 0.8146703172892373 absolute error = 2.512434704726729e-13 relative error = 3.083989500299849e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.328999999999744 y2[1] (analytic) = 0.813687733717293 y2[1] (numeric) = 0.8136877337169411 absolute error = 3.518296765037121e-13 relative error = 4.323890626891907e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.813687733717293 y1[1] (numeric) = 0.8136877337170416 absolute error = 2.513544927751354e-13 relative error = 3.089078062254111e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.329999999999744 y2[1] (analytic) = 0.8127053364573481 y2[1] (numeric) = 0.8127053364569962 absolute error = 3.519406988061746e-13 relative error = 4.330483423922306e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8127053364573481 y1[1] (numeric) = 0.8127053364570967 absolute error = 2.513544927751354e-13 relative error = 3.092812136201924e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.330999999999744 y2[1] (analytic) = 0.8117231264920511 y2[1] (numeric) = 0.8117231264916991 absolute error = 3.520517211086371e-13 relative error = 4.337091178245303e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8117231264920511 y1[1] (numeric) = 0.8117231264917998 absolute error = 2.513544927751354e-13 relative error = 3.096554534073594e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.331999999999744 y2[1] (analytic) = 0.8107411048036121 y2[1] (numeric) = 0.8107411048032598 absolute error = 3.522737657135622e-13 relative error = 4.345083327172542e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8107411048036121 y1[1] (numeric) = 0.8107411048033606 absolute error = 2.51465515077598e-13 relative error = 3.101674672564074e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.332999999999744 y2[1] (analytic) = 0.8097592723740524 y2[1] (numeric) = 0.8097592723736999 absolute error = 3.524958103184872e-13 relative error = 4.353093843371992e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8097592723740524 y1[1] (numeric) = 0.8097592723738009 absolute error = 2.515765373800605e-13 relative error = 3.106806503647539e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.333999999999744 y2[1] (analytic) = 0.8087776301852045 y2[1] (numeric) = 0.8087776301848518 absolute error = 3.527178549234122e-13 relative error = 4.361122782817847e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8087776301852045 y1[1] (numeric) = 0.8087776301849529 absolute error = 2.51687559682523e-13 relative error = 3.11195006252693e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.334999999999744 y2[1] (analytic) = 0.8077961792187105 y2[1] (numeric) = 0.8077961792183577 absolute error = 3.528288772258747e-13 relative error = 4.367795816602228e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8077961792187105 y1[1] (numeric) = 0.8077961792184588 absolute error = 2.51687559682523e-13 relative error = 3.115730999445328e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.335999999999744 y2[1] (analytic) = 0.8068149204560212 y2[1] (numeric) = 0.8068149204556683 absolute error = 3.529398995283373e-13 relative error = 4.374484043116747e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8068149204560212 y1[1] (numeric) = 0.8068149204557695 absolute error = 2.51687559682523e-13 relative error = 3.119520391867149e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.336999999999744 y2[1] (analytic) = 0.8058338548783954 y2[1] (numeric) = 0.8058338548780423 absolute error = 3.531619441332623e-13 relative error = 4.382565239661671e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8058338548783954 y1[1] (numeric) = 0.8058338548781436 absolute error = 2.517985819849855e-13 relative error = 3.124695996086975e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.337999999999743 y2[1] (analytic) = 0.8048529834668986 y2[1] (numeric) = 0.8048529834665452 absolute error = 3.533839887381873e-13 relative error = 4.390665077937442e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8048529834668986 y1[1] (numeric) = 0.8048529834666467 absolute error = 2.51909604287448e-13 relative error = 3.129883462720721e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.338999999999743 y2[1] (analytic) = 0.803872307202402 y2[1] (numeric) = 0.8038723072020485 absolute error = 3.534950110406498e-13 relative error = 4.397402521189793e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.803872307202402 y1[1] (numeric) = 0.8038723072021501 absolute error = 2.51909604287448e-13 relative error = 3.13370173385039e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.339999999999743 y2[1] (analytic) = 0.8028918270655818 y2[1] (numeric) = 0.8028918270652282 absolute error = 3.536060333431124e-13 relative error = 4.404155347246162e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8028918270655818 y1[1] (numeric) = 0.8028918270653299 absolute error = 2.51909604287448e-13 relative error = 3.137528566060139e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.340999999999743 y2[1] (analytic) = 0.8019115440369181 y2[1] (numeric) = 0.8019115440365644 absolute error = 3.537170556455749e-13 relative error = 4.410923602183367e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8019115440369181 y1[1] (numeric) = 0.8019115440366662 absolute error = 2.51909604287448e-13 relative error = 3.141363984103597e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.341999999999743 y2[1] (analytic) = 0.8009314590966939 y2[1] (numeric) = 0.80093145909634 absolute error = 3.539391002504999e-13 relative error = 4.419093497084998e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.8009314590966939 y1[1] (numeric) = 0.8009314590964419 absolute error = 2.520206265899105e-13 relative error = 3.146594177660899e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.342999999999743 y2[1] (analytic) = 0.7999515732249941 y2[1] (numeric) = 0.7999515732246399 absolute error = 3.541611448554249e-13 relative error = 4.427282309448171e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7999515732249941 y1[1] (numeric) = 0.799951573224742 absolute error = 2.521316488923731e-13 relative error = 3.151836402745077e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.343999999999743 y2[1] (analytic) = 0.7989718874017043 y2[1] (numeric) = 0.7989718874013501 absolute error = 3.542721671578875e-13 relative error = 4.434100532748378e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7989718874017043 y1[1] (numeric) = 0.7989718874014522 absolute error = 2.521316488923731e-13 relative error = 3.155701131266552e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.344999999999743 y2[1] (analytic) = 0.7979924026065104 y2[1] (numeric) = 0.797992402606156 absolute error = 3.5438318946035e-13 relative error = 4.440934378608315e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7979924026065104 y1[1] (numeric) = 0.7979924026062583 absolute error = 2.521316488923731e-13 relative error = 3.159574553201592e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.345999999999743 y2[1] (analytic) = 0.7970131198188971 y2[1] (numeric) = 0.7970131198185425 absolute error = 3.54605234065275e-13 relative error = 4.449176873598403e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7970131198188971 y1[1] (numeric) = 0.7970131198186449 absolute error = 2.522426711948356e-13 relative error = 3.164849673392477e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.346999999999742 y2[1] (analytic) = 0.7960340400181469 y2[1] (numeric) = 0.7960340400177922 absolute error = 3.547162563677375e-13 relative error = 4.456043818925773e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7960340400181469 y1[1] (numeric) = 0.7960340400178947 absolute error = 2.522426711948356e-13 relative error = 3.168742271236106e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.347999999999742 y2[1] (analytic) = 0.7950551641833399 y2[1] (numeric) = 0.7950551641829849 absolute error = 3.549383009726625e-13 relative error = 4.46432294213504e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7950551641833399 y1[1] (numeric) = 0.7950551641830875 absolute error = 2.523536934972981e-13 relative error = 3.174040052384406e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.348999999999742 y2[1] (analytic) = 0.7940764932933515 y2[1] (numeric) = 0.7940764932929965 absolute error = 3.550493232751251e-13 relative error = 4.471223191642333e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7940764932933515 y1[1] (numeric) = 0.7940764932930992 absolute error = 2.523536934972981e-13 relative error = 3.177951943277993e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.349999999999742 y2[1] (analytic) = 0.7930980283268527 y2[1] (numeric) = 0.7930980283264975 absolute error = 3.552713678800501e-13 relative error = 4.479539164024187e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7930980283268527 y1[1] (numeric) = 0.7930980283266003 absolute error = 2.524647157997606e-13 relative error = 3.183272518434688e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.350999999999742 y2[1] (analytic) = 0.7921197702623083 y2[1] (numeric) = 0.7921197702619529 absolute error = 3.553823901825126e-13 relative error = 4.486472923972453e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7921197702623083 y1[1] (numeric) = 0.7921197702620558 absolute error = 2.524647157997606e-13 relative error = 3.187203820404048e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.351999999999742 y2[1] (analytic) = 0.7911417200779763 y2[1] (numeric) = 0.7911417200776207 absolute error = 3.556044347874376e-13 relative error = 4.494825968126022e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7911417200779763 y1[1] (numeric) = 0.7911417200777238 absolute error = 2.525757381022231e-13 relative error = 3.19254732359872e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.352999999999742 y2[1] (analytic) = 0.7901638787519069 y2[1] (numeric) = 0.7901638787515511 absolute error = 3.557154570899002e-13 relative error = 4.501793446338827e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7901638787519069 y1[1] (numeric) = 0.7901638787516543 absolute error = 2.525757381022231e-13 relative error = 3.196498155562057e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.353999999999742 y2[1] (analytic) = 0.7891862472619412 y2[1] (numeric) = 0.7891862472615853 absolute error = 3.559375016948252e-13 relative error = 4.51018378652365e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7891862472619412 y1[1] (numeric) = 0.7891862472616885 absolute error = 2.526867604046856e-13 relative error = 3.20186472181155e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.354999999999742 y2[1] (analytic) = 0.7882088265857106 y2[1] (numeric) = 0.7882088265853545 absolute error = 3.560485239972877e-13 relative error = 4.517185192401174e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7882088265857106 y1[1] (numeric) = 0.7882088265854579 absolute error = 2.526867604046856e-13 relative error = 3.205835203587488e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.355999999999741 y2[1] (analytic) = 0.7872316177006359 y2[1] (numeric) = 0.7872316177002796 absolute error = 3.562705686022127e-13 relative error = 4.525613054552051e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7872316177006359 y1[1] (numeric) = 0.7872316177003831 absolute error = 2.527977827071481e-13 relative error = 3.21122496890465e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.356999999999741 y2[1] (analytic) = 0.7862546215839257 y2[1] (numeric) = 0.7862546215835693 absolute error = 3.563815909046752e-13 relative error = 4.532648599085337e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7862546215839257 y1[1] (numeric) = 0.7862546215836729 absolute error = 2.527977827071481e-13 relative error = 3.215215221220347e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.357999999999741 y2[1] (analytic) = 0.7852778392125761 y2[1] (numeric) = 0.7852778392122195 absolute error = 3.566036355096003e-13 relative error = 4.541114210827323e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7852778392125761 y1[1] (numeric) = 0.7852778392123232 absolute error = 2.529088050096107e-13 relative error = 3.220628322622865e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.358999999999741 y2[1] (analytic) = 0.7843012715633694 y2[1] (numeric) = 0.7843012715630127 absolute error = 3.567146578120628e-13 relative error = 4.548184106612675e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7843012715633694 y1[1] (numeric) = 0.7843012715631165 absolute error = 2.529088050096107e-13 relative error = 3.224638467122214e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.359999999999741 y2[1] (analytic) = 0.7833249196128731 y2[1] (numeric) = 0.7833249196125163 absolute error = 3.568256801145253e-13 relative error = 4.555270376064023e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7833249196128731 y1[1] (numeric) = 0.7833249196126202 absolute error = 2.529088050096107e-13 relative error = 3.228657721429323e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.360999999999741 y2[1] (analytic) = 0.7823487843374393 y2[1] (numeric) = 0.7823487843370822 absolute error = 3.570477247194503e-13 relative error = 4.56379215852977e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7823487843374393 y1[1] (numeric) = 0.7823487843371862 absolute error = 2.530198273120732e-13 relative error = 3.234105201893453e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.361999999999741 y2[1] (analytic) = 0.7813728667132028 y2[1] (numeric) = 0.7813728667128457 absolute error = 3.571587470219129e-13 relative error = 4.570913097152698e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7813728667132028 y1[1] (numeric) = 0.7813728667129498 absolute error = 2.530198273120732e-13 relative error = 3.238144528570407e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.362999999999741 y2[1] (analytic) = 0.7803971677160816 y2[1] (numeric) = 0.7803971677157242 absolute error = 3.573807916268379e-13 relative error = 4.579473201738446e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7803971677160816 y1[1] (numeric) = 0.7803971677158285 absolute error = 2.531308496145357e-13 relative error = 3.243615688090604e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.363999999999741 y2[1] (analytic) = 0.7794216883217742 y2[1] (numeric) = 0.7794216883214167 absolute error = 3.574918139293004e-13 relative error = 4.586629026182737e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7794216883217742 y1[1] (numeric) = 0.779421688321521 absolute error = 2.531308496145357e-13 relative error = 3.247675211085913e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36499999999974 y2[1] (analytic) = 0.7784464295057602 y2[1] (numeric) = 0.7784464295054024 absolute error = 3.577138585342254e-13 relative error = 4.595227686526097e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7784464295057602 y1[1] (numeric) = 0.7784464295055069 absolute error = 2.532418719169982e-13 relative error = 3.253170190243956e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36599999999974 y2[1] (analytic) = 0.7774713922432982 y2[1] (numeric) = 0.7774713922429403 absolute error = 3.579359031391505e-13 relative error = 4.603846607222041e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7774713922432982 y1[1] (numeric) = 0.7774713922430448 absolute error = 2.533528942194607e-13 relative error = 3.258678026575898e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36699999999974 y2[1] (analytic) = 0.7764965775094254 y2[1] (numeric) = 0.7764965775090673 absolute error = 3.58046925441613e-13 relative error = 4.611056066596339e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7764965775094254 y1[1] (numeric) = 0.776496577509172 absolute error = 2.533528942194607e-13 relative error = 3.262768974875301e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36799999999974 y2[1] (analytic) = 0.7755219862789564 y2[1] (numeric) = 0.7755219862785983 absolute error = 3.581579477440755e-13 relative error = 4.618282319274512e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7755219862789564 y1[1] (numeric) = 0.7755219862787031 absolute error = 2.533528942194607e-13 relative error = 3.266869266145207e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36899999999974 y2[1] (analytic) = 0.7745476195264825 y2[1] (numeric) = 0.7745476195261242 absolute error = 3.583799923490005e-13 relative error = 4.626958799099984e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7745476195264825 y1[1] (numeric) = 0.7745476195262291 absolute error = 2.534639165219232e-13 relative error = 3.272412310515881e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36999999999974 y2[1] (analytic) = 0.7735734782263703 y2[1] (numeric) = 0.7735734782260117 absolute error = 3.586020369539256e-13 relative error = 4.635655785099035e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7735734782263703 y1[1] (numeric) = 0.7735734782261168 absolute error = 2.535749388243858e-13 relative error = 3.277968363209348e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.37099999999974 y2[1] (analytic) = 0.772599563352761 y2[1] (numeric) = 0.7725995633524023 absolute error = 3.587130592563881e-13 relative error = 4.642936344666343e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.772599563352761 y1[1] (numeric) = 0.7725995633525075 absolute error = 2.535749388243858e-13 relative error = 3.282100467724521e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.37199999999974 y2[1] (analytic) = 0.7716258758795694 y2[1] (numeric) = 0.7716258758792105 absolute error = 3.589351038613131e-13 relative error = 4.651672722252429e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7716258758795694 y1[1] (numeric) = 0.7716258758793157 absolute error = 2.536859611268483e-13 relative error = 3.287680844524218e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.37299999999974 y2[1] (analytic) = 0.7706524167804829 y2[1] (numeric) = 0.7706524167801239 absolute error = 3.590461261637756e-13 relative error = 4.658989167434849e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7706524167804829 y1[1] (numeric) = 0.7706524167802292 absolute error = 2.536859611268483e-13 relative error = 3.291833719105946e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.373999999999739 y2[1] (analytic) = 0.7696791870289604 y2[1] (numeric) = 0.7696791870286013 absolute error = 3.591571484662381e-13 relative error = 4.666322729248027e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7696791870289604 y1[1] (numeric) = 0.7696791870287067 absolute error = 2.536859611268483e-13 relative error = 3.295996116331296e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.374999999999739 y2[1] (analytic) = 0.7687061875982318 y2[1] (numeric) = 0.7687061875978725 absolute error = 3.593791930711632e-13 relative error = 4.675117735087031e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7687061875982318 y1[1] (numeric) = 0.768706187597978 absolute error = 2.537969834293108e-13 relative error = 3.301612339329302e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.375999999999739 y2[1] (analytic) = 0.7677334194612963 y2[1] (numeric) = 0.7677334194609368 absolute error = 3.594902153736257e-13 relative error = 4.682487517944354e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7677334194612963 y1[1] (numeric) = 0.7677334194610425 absolute error = 2.537969834293108e-13 relative error = 3.305795696732796e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.376999999999739 y2[1] (analytic) = 0.766760883590922 y2[1] (numeric) = 0.7667608835905623 absolute error = 3.597122599785507e-13 relative error = 4.691322518878811e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.766760883590922 y1[1] (numeric) = 0.7667608835906681 absolute error = 2.539080057317733e-13 relative error = 3.311436605146865e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.377999999999739 y2[1] (analytic) = 0.7657885809596445 y2[1] (numeric) = 0.7657885809592847 absolute error = 3.598232822810132e-13 relative error = 4.698728751349391e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7657885809596445 y1[1] (numeric) = 0.7657885809593906 absolute error = 2.539080057317733e-13 relative error = 3.315641053482276e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.378999999999739 y2[1] (analytic) = 0.7648165125397667 y2[1] (numeric) = 0.7648165125394067 absolute error = 3.599343045834758e-13 relative error = 4.706152373570268e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7648165125397667 y1[1] (numeric) = 0.7648165125395128 absolute error = 2.539080057317733e-13 relative error = 3.319855175310056e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.379999999999739 y2[1] (analytic) = 0.7638446793033568 y2[1] (numeric) = 0.7638446793029966 absolute error = 3.601563491884008e-13 relative error = 4.715046906091843e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7638446793033568 y1[1] (numeric) = 0.7638446793031027 absolute error = 2.540190280342358e-13 relative error = 3.325532466442088e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.380999999999739 y2[1] (analytic) = 0.7628730822222478 y2[1] (numeric) = 0.7628730822218874 absolute error = 3.603783937933258e-13 relative error = 4.723962637973072e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7628730822222478 y1[1] (numeric) = 0.7628730822219937 absolute error = 2.541300503366983e-13 relative error = 3.331223191103008e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.381999999999739 y2[1] (analytic) = 0.7619017222680369 y2[1] (numeric) = 0.7619017222676764 absolute error = 3.604894160957883e-13 relative error = 4.731442462456703e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7619017222680369 y1[1] (numeric) = 0.7619017222677827 absolute error = 2.541300503366983e-13 relative error = 3.335470217604987e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.382999999999738 y2[1] (analytic) = 0.7609306004120838 y2[1] (numeric) = 0.7609306004117232 absolute error = 3.606004383982508e-13 relative error = 4.738939900734269e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7609306004120838 y1[1] (numeric) = 0.7609306004118297 absolute error = 2.541300503366983e-13 relative error = 3.339727042112298e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.383999999999738 y2[1] (analytic) = 0.7599597176255104 y2[1] (numeric) = 0.7599597176251497 absolute error = 3.607114607007134e-13 relative error = 4.746455007217411e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7599597176255104 y1[1] (numeric) = 0.7599597176252563 absolute error = 2.541300503366983e-13 relative error = 3.343993693912174e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.384999999999738 y2[1] (analytic) = 0.7589890748791994 y2[1] (numeric) = 0.7589890748788385 absolute error = 3.609335053056384e-13 relative error = 4.755450602014061e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7589890748791994 y1[1] (numeric) = 0.7589890748789452 absolute error = 2.542410726391608e-13 relative error = 3.349732967890556e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.385999999999738 y2[1] (analytic) = 0.7580186731437933 y2[1] (numeric) = 0.7580186731434323 absolute error = 3.610445276081009e-13 relative error = 4.763003081582557e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7580186731437933 y1[1] (numeric) = 0.7580186731435391 absolute error = 2.542410726391608e-13 relative error = 3.354021235185749e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.386999999999738 y2[1] (analytic) = 0.7570485133896941 y2[1] (numeric) = 0.7570485133893329 absolute error = 3.612665722130259e-13 relative error = 4.772039913207812e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7570485133896941 y1[1] (numeric) = 0.7570485133894398 absolute error = 2.543520949416234e-13 relative error = 3.359785937664136e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.387999999999738 y2[1] (analytic) = 0.7560785965870612 y2[1] (numeric) = 0.7560785965866998 absolute error = 3.613775945154885e-13 relative error = 4.779630003371963e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7560785965870612 y1[1] (numeric) = 0.7560785965868069 absolute error = 2.543520949416234e-13 relative error = 3.364095956290374e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.388999999999738 y2[1] (analytic) = 0.7551089237058113 y2[1] (numeric) = 0.7551089237054498 absolute error = 3.61488616817951e-13 relative error = 4.787238045656922e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7551089237058113 y1[1] (numeric) = 0.755108923705557 absolute error = 2.542410726391608e-13 relative error = 3.366945677074432e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.389999999999738 y2[1] (analytic) = 0.7541394957156173 y2[1] (numeric) = 0.7541394957152557 absolute error = 3.615996391204135e-13 relative error = 4.794864095763672e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7541394957156173 y1[1] (numeric) = 0.7541394957153631 absolute error = 2.542410726391608e-13 relative error = 3.371273803898928e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.390999999999738 y2[1] (analytic) = 0.7531703135859072 y2[1] (numeric) = 0.7531703135855454 absolute error = 3.618216837253385e-13 relative error = 4.803982275969894e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7531703135859072 y1[1] (numeric) = 0.7531703135856529 absolute error = 2.543520949416234e-13 relative error = 3.377086036896909e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.391999999999737 y2[1] (analytic) = 0.7522013782858629 y2[1] (numeric) = 0.7522013782855009 absolute error = 3.61932706027801e-13 relative error = 4.811646408473529e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7522013782858629 y1[1] (numeric) = 0.7522013782856085 absolute error = 2.543520949416234e-13 relative error = 3.381436172335232e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.392999999999737 y2[1] (analytic) = 0.7512326907844197 y2[1] (numeric) = 0.7512326907840575 absolute error = 3.621547506327261e-13 relative error = 4.820806589960463e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7512326907844197 y1[1] (numeric) = 0.7512326907841652 absolute error = 2.544631172440859e-13 relative error = 3.387274280867376e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.393999999999737 y2[1] (analytic) = 0.7502642520502649 y2[1] (numeric) = 0.7502642520499027 absolute error = 3.622657729351886e-13 relative error = 4.828509047915002e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7502642520502649 y1[1] (numeric) = 0.7502642520500105 absolute error = 2.544631172440859e-13 relative error = 3.391646563843452e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.394999999999737 y2[1] (analytic) = 0.7492960630518373 y2[1] (numeric) = 0.7492960630514749 absolute error = 3.623767952376511e-13 relative error = 4.836229804300752e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7492960630518373 y1[1] (numeric) = 0.7492960630515828 absolute error = 2.544631172440859e-13 relative error = 3.396029016990602e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.395999999999737 y2[1] (analytic) = 0.7483281247573257 y2[1] (numeric) = 0.7483281247569632 absolute error = 3.624878175401136e-13 relative error = 4.84396891614443e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7483281247573257 y1[1] (numeric) = 0.7483281247570712 absolute error = 2.544631172440859e-13 relative error = 3.400421670996335e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.396999999999737 y2[1] (analytic) = 0.7473604381346683 y2[1] (numeric) = 0.7473604381343057 absolute error = 3.625988398425761e-13 relative error = 4.851726440692847e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7473604381346683 y1[1] (numeric) = 0.7473604381344139 absolute error = 2.544631172440859e-13 relative error = 3.404824556665036e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.397999999999737 y2[1] (analytic) = 0.7463930041515519 y2[1] (numeric) = 0.7463930041511891 absolute error = 3.627098621450386e-13 relative error = 4.859502435413931e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7463930041515519 y1[1] (numeric) = 0.7463930041512974 absolute error = 2.544631172440859e-13 relative error = 3.409237704918497e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.398999999999737 y2[1] (analytic) = 0.7454258237754101 y2[1] (numeric) = 0.7454258237750472 absolute error = 3.629319067499637e-13 relative error = 4.868786338951838e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7454258237754101 y1[1] (numeric) = 0.7454258237751555 absolute error = 2.545741395465484e-13 relative error = 3.415150527750555e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.399999999999737 y2[1] (analytic) = 0.7444588979734234 y2[1] (numeric) = 0.7444588979730603 absolute error = 3.630429290524262e-13 relative error = 4.876601381764753e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7444588979734234 y1[1] (numeric) = 0.7444588979731688 absolute error = 2.545741395465484e-13 relative error = 3.419586228864397e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.400999999999736 y2[1] (analytic) = 0.7434922277125173 y2[1] (numeric) = 0.7434922277121542 absolute error = 3.631539513548887e-13 relative error = 4.884435073009367e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7434922277125173 y1[1] (numeric) = 0.7434922277122628 absolute error = 2.545741395465484e-13 relative error = 3.424032290556552e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.401999999999736 y2[1] (analytic) = 0.7425258139593622 y2[1] (numeric) = 0.7425258139589989 absolute error = 3.633759959598137e-13 relative error = 4.893782668944369e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7425258139593622 y1[1] (numeric) = 0.7425258139591076 absolute error = 2.546851618490109e-13 relative error = 3.429983942119884e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.402999999999736 y2[1] (analytic) = 0.7415596576803717 y2[1] (numeric) = 0.7415596576800082 absolute error = 3.634870182622763e-13 relative error = 4.901655780457073e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7415596576803717 y1[1] (numeric) = 0.741559657680117 absolute error = 2.546851618490109e-13 relative error = 3.43445276736974e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.403999999999736 y2[1] (analytic) = 0.7405937598417019 y2[1] (numeric) = 0.7405937598413384 absolute error = 3.635980405647388e-13 relative error = 4.909547720770102e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7405937598417019 y1[1] (numeric) = 0.7405937598414473 absolute error = 2.546851618490109e-13 relative error = 3.438932052350111e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.404999999999736 y2[1] (analytic) = 0.7396281214092507 y2[1] (numeric) = 0.739628121408887 absolute error = 3.637090628672013e-13 relative error = 4.917458548955766e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7396281214092507 y1[1] (numeric) = 0.739628121408996 absolute error = 2.546851618490109e-13 relative error = 3.443421828847536e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.405999999999736 y2[1] (analytic) = 0.7386627433486564 y2[1] (numeric) = 0.7386627433482925 absolute error = 3.639311074721263e-13 relative error = 4.926891341808843e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7386627433486564 y1[1] (numeric) = 0.7386627433484017 absolute error = 2.547961841514734e-13 relative error = 3.449425146263361e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.406999999999736 y2[1] (analytic) = 0.7376976266252969 y2[1] (numeric) = 0.7376976266249329 absolute error = 3.640421297745888e-13 relative error = 4.934842090247077e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7376976266252969 y1[1] (numeric) = 0.7376976266250421 absolute error = 2.547961841514734e-13 relative error = 3.453937968013737e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.407999999999736 y2[1] (analytic) = 0.736732772204289 y2[1] (numeric) = 0.7367327722039247 absolute error = 3.642641743795139e-13 relative error = 4.944318864622285e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.736732772204289 y1[1] (numeric) = 0.7367327722040342 absolute error = 2.547961841514734e-13 relative error = 3.458461381989681e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.408999999999736 y2[1] (analytic) = 0.7357681810504869 y2[1] (numeric) = 0.7357681810501225 absolute error = 3.643751966819764e-13 relative error = 4.952309790860251e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7357681810504869 y1[1] (numeric) = 0.7357681810502321 absolute error = 2.547961841514734e-13 relative error = 3.462995420482716e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.409999999999735 y2[1] (analytic) = 0.7348038541284818 y2[1] (numeric) = 0.7348038541281172 absolute error = 3.645972412869014e-13 relative error = 4.961830823809899e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7348038541284818 y1[1] (numeric) = 0.7348038541282269 absolute error = 2.549072064539359e-13 relative error = 3.469051026634449e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.410999999999735 y2[1] (analytic) = 0.7338397924026004 y2[1] (numeric) = 0.7338397924022357 absolute error = 3.647082635893639e-13 relative error = 4.969862187430646e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7338397924026004 y1[1] (numeric) = 0.7338397924023455 absolute error = 2.549072064539359e-13 relative error = 3.473608396450765e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.411999999999735 y2[1] (analytic) = 0.7328759968369045 y2[1] (numeric) = 0.7328759968365396 absolute error = 3.64930308194289e-13 relative error = 4.979427758165495e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7328759968369045 y1[1] (numeric) = 0.7328759968366495 absolute error = 2.550182287563985e-13 relative error = 3.479691378310356e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.412999999999735 y2[1] (analytic) = 0.7319124683951894 y2[1] (numeric) = 0.7319124683948244 absolute error = 3.650413304967515e-13 relative error = 4.987499820807135e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7319124683951894 y1[1] (numeric) = 0.7319124683949344 absolute error = 2.550182287563985e-13 relative error = 3.484272228830288e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.413999999999735 y2[1] (analytic) = 0.7309492080409836 y2[1] (numeric) = 0.7309492080406185 absolute error = 3.65152352799214e-13 relative error = 4.995591332233036e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7309492080409836 y1[1] (numeric) = 0.7309492080407286 absolute error = 2.550182287563985e-13 relative error = 3.488863876600572e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.414999999999735 y2[1] (analytic) = 0.7299862167375474 y2[1] (numeric) = 0.7299862167371821 absolute error = 3.652633751016765e-13 relative error = 5.003702353917184e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7299862167375474 y1[1] (numeric) = 0.7299862167372924 absolute error = 2.550182287563985e-13 relative error = 3.493466354695371e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.415999999999735 y2[1] (analytic) = 0.7290234954478719 y2[1] (numeric) = 0.7290234954475064 absolute error = 3.654854197066015e-13 relative error = 5.013355838169076e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7290234954478719 y1[1] (numeric) = 0.7290234954476168 absolute error = 2.55129251058861e-13 relative error = 3.499602586911463e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.416999999999735 y2[1] (analytic) = 0.7280610451346784 y2[1] (numeric) = 0.7280610451343128 absolute error = 3.65596442009064e-13 relative error = 5.021508078919882e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7280610451346784 y1[1] (numeric) = 0.7280610451344233 absolute error = 2.55129251058861e-13 relative error = 3.504228838553868e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.417999999999735 y2[1] (analytic) = 0.7270988667604171 y2[1] (numeric) = 0.7270988667600513 absolute error = 3.658184866139891e-13 relative error = 5.03120694224006e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7270988667604171 y1[1] (numeric) = 0.7270988667601619 absolute error = 2.552402733613235e-13 relative error = 3.510392946952928e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.418999999999734 y2[1] (analytic) = 0.7261369612872662 y2[1] (numeric) = 0.7261369612869003 absolute error = 3.659295089164516e-13 relative error = 5.039400669919715e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7261369612872662 y1[1] (numeric) = 0.726136961287011 absolute error = 2.552402733613235e-13 relative error = 3.515043125044122e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.419999999999734 y2[1] (analytic) = 0.7251753296771314 y2[1] (numeric) = 0.7251753296767652 absolute error = 3.661515535213766e-13 relative error = 5.049145200297943e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7251753296771314 y1[1] (numeric) = 0.725175329676876 absolute error = 2.55351295663786e-13 relative error = 3.521235282196867e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.420999999999734 y2[1] (analytic) = 0.7242139728916438 y2[1] (numeric) = 0.7242139728912775 absolute error = 3.662625758238391e-13 relative error = 5.057380684902071e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7242139728916438 y1[1] (numeric) = 0.7242139728913884 absolute error = 2.55351295663786e-13 relative error = 3.525909540853217e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.421999999999734 y2[1] (analytic) = 0.7232528918921605 y2[1] (numeric) = 0.723252891891794 absolute error = 3.664846204287642e-13 relative error = 5.06717117258908e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7232528918921605 y1[1] (numeric) = 0.723252891891905 absolute error = 2.554623179662485e-13 relative error = 3.532129920668728e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.422999999999734 y2[1] (analytic) = 0.7222920876397622 y2[1] (numeric) = 0.7222920876393955 absolute error = 3.667066650336892e-13 relative error = 5.076985769454828e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7222920876397622 y1[1] (numeric) = 0.7222920876395066 absolute error = 2.55573340268711e-13 relative error = 3.538365498421137e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.423999999999734 y2[1] (analytic) = 0.721331561095253 y2[1] (numeric) = 0.7213315610948862 absolute error = 3.668176873361517e-13 relative error = 5.085285423795742e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.721331561095253 y1[1] (numeric) = 0.7213315610949974 absolute error = 2.55573340268711e-13 relative error = 3.543077192971488e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.424999999999734 y2[1] (analytic) = 0.7203713132191596 y2[1] (numeric) = 0.7203713132187926 absolute error = 3.670397319410768e-13 relative error = 5.095146422486868e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7203713132191596 y1[1] (numeric) = 0.7203713132189039 absolute error = 2.556843625711736e-13 relative error = 3.549341261641638e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.425999999999734 y2[1] (analytic) = 0.7194113449717296 y2[1] (numeric) = 0.7194113449713625 absolute error = 3.671507542435393e-13 relative error = 5.103488523078087e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7194113449717296 y1[1] (numeric) = 0.719411344971474 absolute error = 2.556843625711736e-13 relative error = 3.554077432309898e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.426999999999734 y2[1] (analytic) = 0.7184516573129314 y2[1] (numeric) = 0.718451657312564 absolute error = 3.673727988484643e-13 relative error = 5.113396219621358e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7184516573129314 y1[1] (numeric) = 0.7184516573126756 absolute error = 2.557953848736361e-13 relative error = 3.560370169237718e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.427999999999733 y2[1] (analytic) = 0.7174922512024522 y2[1] (numeric) = 0.7174922512020848 absolute error = 3.673727988484643e-13 relative error = 5.120233678242248e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7174922512024522 y1[1] (numeric) = 0.7174922512021965 absolute error = 2.556843625711736e-13 relative error = 3.563583608640646e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.428999999999733 y2[1] (analytic) = 0.7165331275996984 y2[1] (numeric) = 0.7165331275993309 absolute error = 3.675948434533893e-13 relative error = 5.130186299756841e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7165331275996984 y1[1] (numeric) = 0.7165331275994427 absolute error = 2.557953848736361e-13 relative error = 3.56990312130467e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.429999999999733 y2[1] (analytic) = 0.7155742874637934 y2[1] (numeric) = 0.7155742874634257 absolute error = 3.677058657558518e-13 relative error = 5.138612051854323e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7155742874637934 y1[1] (numeric) = 0.7155742874635376 absolute error = 2.557953848736361e-13 relative error = 3.574686644768224e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.430999999999733 y2[1] (analytic) = 0.7146157317535772 y2[1] (numeric) = 0.7146157317532092 absolute error = 3.679279103607769e-13 relative error = 5.148611960415817e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7146157317535772 y1[1] (numeric) = 0.7146157317533214 absolute error = 2.557953848736361e-13 relative error = 3.579481580204599e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.431999999999733 y2[1] (analytic) = 0.7136574614276053 y2[1] (numeric) = 0.7136574614272374 absolute error = 3.679279103607769e-13 relative error = 5.155525307964571e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7136574614276053 y1[1] (numeric) = 0.7136574614273496 absolute error = 2.556843625711736e-13 relative error = 3.582732282511287e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.432999999999733 y2[1] (analytic) = 0.7126994774441483 y2[1] (numeric) = 0.7126994774437803 absolute error = 3.680389326632394e-13 relative error = 5.164012943900065e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7126994774441483 y1[1] (numeric) = 0.7126994774438926 absolute error = 2.556843625711736e-13 relative error = 3.58754805725546e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.433999999999733 y2[1] (analytic) = 0.7117417807611899 y2[1] (numeric) = 0.7117417807608217 absolute error = 3.681499549657019e-13 relative error = 5.172521340140729e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7117417807611899 y1[1] (numeric) = 0.7117417807609342 absolute error = 2.556843625711736e-13 relative error = 3.592375345700874e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.434999999999733 y2[1] (analytic) = 0.7107843723364267 y2[1] (numeric) = 0.7107843723360584 absolute error = 3.682609772681644e-13 relative error = 5.181050563304452e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7107843723364267 y1[1] (numeric) = 0.710784372336171 absolute error = 2.556843625711736e-13 relative error = 3.597214183687113e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.435999999999733 y2[1] (analytic) = 0.709827253127267 y2[1] (numeric) = 0.7098272531268986 absolute error = 3.683719995706269e-13 relative error = 5.189600680273971e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.709827253127267 y1[1] (numeric) = 0.7098272531270113 absolute error = 2.556843625711736e-13 relative error = 3.602064607194381e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.436999999999732 y2[1] (analytic) = 0.7088704240908301 y2[1] (numeric) = 0.7088704240904615 absolute error = 3.68594044175552e-13 relative error = 5.199737944325953e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7088704240908301 y1[1] (numeric) = 0.7088704240905743 absolute error = 2.557953848736361e-13 relative error = 3.608492838471987e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.437999999999732 y2[1] (analytic) = 0.7079138861839448 y2[1] (numeric) = 0.7079138861835761 absolute error = 3.687050664780145e-13 relative error = 5.208332166862029e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7079138861839448 y1[1] (numeric) = 0.707913886183689 absolute error = 2.557953848736361e-13 relative error = 3.613368657768779e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.438999999999732 y2[1] (analytic) = 0.706957640363149 y2[1] (numeric) = 0.7069576403627801 absolute error = 3.689271110829395e-13 relative error = 5.218517914219437e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.706957640363149 y1[1] (numeric) = 0.7069576403628931 absolute error = 2.559064071760986e-13 relative error = 3.619826600143185e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.439999999999732 y2[1] (analytic) = 0.7060016875846884 y2[1] (numeric) = 0.7060016875843194 absolute error = 3.69038133385402e-13 relative error = 5.227156533406078e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7060016875846884 y1[1] (numeric) = 0.7060016875844325 absolute error = 2.559064071760986e-13 relative error = 3.624727981197656e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.440999999999732 y2[1] (analytic) = 0.7050460288045156 y2[1] (numeric) = 0.7050460288041465 absolute error = 3.691491556878645e-13 relative error = 5.235816395048679e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7050460288045156 y1[1] (numeric) = 0.7050460288042598 absolute error = 2.557953848736361e-13 relative error = 3.628066458403656e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.441999999999732 y2[1] (analytic) = 0.7040906649782895 y2[1] (numeric) = 0.7040906649779203 absolute error = 3.692601779903271e-13 relative error = 5.24449756767778e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7040906649782895 y1[1] (numeric) = 0.7040906649780337 absolute error = 2.557953848736361e-13 relative error = 3.632989295228384e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.442999999999732 y2[1] (analytic) = 0.7031355970613739 y2[1] (numeric) = 0.7031355970610044 absolute error = 3.694822225952521e-13 relative error = 5.254779080158012e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7031355970613739 y1[1] (numeric) = 0.7031355970611179 absolute error = 2.559064071760986e-13 relative error = 3.639502938631075e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.443999999999732 y2[1] (analytic) = 0.7021808260088364 y2[1] (numeric) = 0.7021808260084667 absolute error = 3.697042672001771e-13 relative error = 5.265086335403933e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7021808260088364 y1[1] (numeric) = 0.7021808260085804 absolute error = 2.559064071760986e-13 relative error = 3.644451652584404e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.444999999999732 y2[1] (analytic) = 0.701226352775448 y2[1] (numeric) = 0.7012263527750782 absolute error = 3.698152895026396e-13 relative error = 5.273836159164781e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.701226352775448 y1[1] (numeric) = 0.7012263527751921 absolute error = 2.559064071760986e-13 relative error = 3.649412292667313e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.445999999999732 y2[1] (analytic) = 0.7002721783156819 y2[1] (numeric) = 0.700272178315312 absolute error = 3.699263118051022e-13 relative error = 5.282607581167387e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.7002721783156819 y1[1] (numeric) = 0.700272178315426 absolute error = 2.559064071760986e-13 relative error = 3.654384896335783e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.446999999999731 y2[1] (analytic) = 0.6993183035837126 y2[1] (numeric) = 0.6993183035833425 absolute error = 3.701483564100272e-13 relative error = 5.292988250317092e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6993183035837126 y1[1] (numeric) = 0.6993183035834567 absolute error = 2.559064071760986e-13 relative error = 3.65936950119403e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.447999999999731 y2[1] (analytic) = 0.6983647295334147 y2[1] (numeric) = 0.6983647295330444 absolute error = 3.702593787124897e-13 relative error = 5.301805246663361e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6983647295334147 y1[1] (numeric) = 0.6983647295331588 absolute error = 2.559064071760986e-13 relative error = 3.664366144995217e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.448999999999731 y2[1] (analytic) = 0.6974114571183621 y2[1] (numeric) = 0.6974114571179917 absolute error = 3.703704010149522e-13 relative error = 5.310644057172326e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6974114571183621 y1[1] (numeric) = 0.6974114571181061 absolute error = 2.559064071760986e-13 relative error = 3.66937486564215e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.449999999999731 y2[1] (analytic) = 0.6964584872918271 y2[1] (numeric) = 0.6964584872914565 absolute error = 3.705924456198773e-13 relative error = 5.321098850570733e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6964584872918271 y1[1] (numeric) = 0.6964584872915711 absolute error = 2.560174294785611e-13 relative error = 3.675989799106084e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.450999999999731 y2[1] (analytic) = 0.6955058210067795 y2[1] (numeric) = 0.6955058210064089 absolute error = 3.705924456198773e-13 relative error = 5.328387404197798e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6955058210067795 y1[1] (numeric) = 0.6955058210065236 absolute error = 2.559064071760986e-13 relative error = 3.679428689837006e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.451999999999731 y2[1] (analytic) = 0.6945534592158856 y2[1] (numeric) = 0.6945534592155148 absolute error = 3.708144902248023e-13 relative error = 5.338890553413014e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6945534592158856 y1[1] (numeric) = 0.6945534592156296 absolute error = 2.560174294785611e-13 relative error = 3.686072340170782e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.452999999999731 y2[1] (analytic) = 0.6936014028715071 y2[1] (numeric) = 0.693601402871136 absolute error = 3.710365348297273e-13 relative error = 5.349420189948255e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6936014028715071 y1[1] (numeric) = 0.6936014028712509 absolute error = 2.561284517810236e-13 relative error = 3.692732608680617e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.453999999999731 y2[1] (analytic) = 0.6926496529257 y2[1] (numeric) = 0.6926496529253289 absolute error = 3.711475571321898e-13 relative error = 5.358373537971043e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6926496529257 y1[1] (numeric) = 0.6926496529254439 absolute error = 2.561284517810236e-13 relative error = 3.697806686239664e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.454999999999731 y2[1] (analytic) = 0.6916982103302145 y2[1] (numeric) = 0.6916982103298432 absolute error = 3.712585794346523e-13 relative error = 5.367349139987144e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6916982103302145 y1[1] (numeric) = 0.6916982103299584 absolute error = 2.561284517810236e-13 relative error = 3.702893081922949e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.45599999999973 y2[1] (analytic) = 0.6907470760364929 y2[1] (numeric) = 0.6907470760361215 absolute error = 3.713696017371149e-13 relative error = 5.376347068568627e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6907470760364929 y1[1] (numeric) = 0.6907470760362368 absolute error = 2.561284517810236e-13 relative error = 3.707991834734774e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.45699999999973 y2[1] (analytic) = 0.6897962509956695 y2[1] (numeric) = 0.689796250995298 absolute error = 3.715916463420399e-13 relative error = 5.386976890722079e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6897962509956695 y1[1] (numeric) = 0.6897962509954133 absolute error = 2.562394740834861e-13 relative error = 3.714712477976265e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.45799999999973 y2[1] (analytic) = 0.6888457361585694 y2[1] (numeric) = 0.6888457361581976 absolute error = 3.718136909469649e-13 relative error = 5.397633627238929e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6888457361585694 y1[1] (numeric) = 0.688845736158313 absolute error = 2.563504963859486e-13 relative error = 3.72144999859501e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.45899999999973 y2[1] (analytic) = 0.687895532475707 y2[1] (numeric) = 0.6878955324753351 absolute error = 3.719247132494274e-13 relative error = 5.40670342647649e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.687895532475707 y1[1] (numeric) = 0.6878955324754507 absolute error = 2.563504963859486e-13 relative error = 3.726590510965437e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.45999999999973 y2[1] (analytic) = 0.6869456408972863 y2[1] (numeric) = 0.6869456408969141 absolute error = 3.721467578543525e-13 relative error = 5.417412029403892e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6869456408972863 y1[1] (numeric) = 0.6869456408970298 absolute error = 2.564615186884112e-13 relative error = 3.733359721934066e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.46099999999973 y2[1] (analytic) = 0.6859960623731984 y2[1] (numeric) = 0.6859960623728262 absolute error = 3.72257780156815e-13 relative error = 5.426529401189154e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6859960623731984 y1[1] (numeric) = 0.685996062372942 absolute error = 2.564615186884112e-13 relative error = 3.738527562405889e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.46199999999973 y2[1] (analytic) = 0.6850467978530221 y2[1] (numeric) = 0.6850467978526498 absolute error = 3.723688024592775e-13 relative error = 5.43566955755875e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6850467978530221 y1[1] (numeric) = 0.6850467978527657 absolute error = 2.564615186884112e-13 relative error = 3.743708013703253e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.46299999999973 y2[1] (analytic) = 0.6840978482860217 y2[1] (numeric) = 0.6840978482856492 absolute error = 3.7247982476174e-13 relative error = 5.444832573219935e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6840978482860217 y1[1] (numeric) = 0.6840978482857653 absolute error = 2.564615186884112e-13 relative error = 3.748901115987496e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.46399999999973 y2[1] (analytic) = 0.6831492146211466 y2[1] (numeric) = 0.683149214620774 absolute error = 3.725908470642025e-13 relative error = 5.454018523183546e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6831492146211466 y1[1] (numeric) = 0.6831492146208902 absolute error = 2.564615186884112e-13 relative error = 3.754106909581046e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.464999999999729 y2[1] (analytic) = 0.6822008978070306 y2[1] (numeric) = 0.6822008978066578 absolute error = 3.728128916691276e-13 relative error = 5.464854896373686e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6822008978070306 y1[1] (numeric) = 0.6822008978067741 absolute error = 2.565725409908737e-13 relative error = 3.760952848576411e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.465999999999729 y2[1] (analytic) = 0.6812528987919902 y2[1] (numeric) = 0.6812528987916173 absolute error = 3.729239139715901e-13 relative error = 5.47408920582746e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6812528987919902 y1[1] (numeric) = 0.6812528987917337 absolute error = 2.565725409908737e-13 relative error = 3.766186411035207e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.466999999999729 y2[1] (analytic) = 0.6803052185240246 y2[1] (numeric) = 0.6803052185236514 absolute error = 3.731459585765151e-13 relative error = 5.484978630416572e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6803052185240246 y1[1] (numeric) = 0.6803052185237679 absolute error = 2.566835632933362e-13 relative error = 3.773064740709049e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.467999999999729 y2[1] (analytic) = 0.6793578579508137 y2[1] (numeric) = 0.6793578579504405 absolute error = 3.732569808789776e-13 relative error = 5.494261625306789e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6793578579508137 y1[1] (numeric) = 0.679357857950557 absolute error = 2.566835632933362e-13 relative error = 3.778326257498303e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.468999999999729 y2[1] (analytic) = 0.6784108180197183 y2[1] (numeric) = 0.6784108180193448 absolute error = 3.734790254839027e-13 relative error = 5.505204450808852e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6784108180197183 y1[1] (numeric) = 0.6784108180194615 absolute error = 2.567945855957987e-13 relative error = 3.785237186302281e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.469999999999729 y2[1] (analytic) = 0.6774640996777779 y2[1] (numeric) = 0.6774640996774043 absolute error = 3.735900477863652e-13 relative error = 5.514536459777805e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6774640996777779 y1[1] (numeric) = 0.6774640996775211 absolute error = 2.567945855957987e-13 relative error = 3.79052684441785e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.470999999999729 y2[1] (analytic) = 0.676517703871711 y2[1] (numeric) = 0.6765177038713373 absolute error = 3.737010700888277e-13 relative error = 5.523891953605004e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.676517703871711 y1[1] (numeric) = 0.6765177038714542 absolute error = 2.567945855957987e-13 relative error = 3.795829497530711e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.471999999999729 y2[1] (analytic) = 0.6755716315479132 y2[1] (numeric) = 0.6755716315475394 absolute error = 3.738120923912902e-13 relative error = 5.533271009837815e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6755716315479132 y1[1] (numeric) = 0.6755716315476564 absolute error = 2.567945855957987e-13 relative error = 3.801145187334383e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.472999999999729 y2[1] (analytic) = 0.6746258836524569 y2[1] (numeric) = 0.674625883652083 absolute error = 3.739231146937527e-13 relative error = 5.542673706340988e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6746258836524569 y1[1] (numeric) = 0.6746258836522001 absolute error = 2.567945855957987e-13 relative error = 3.806473955690827e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.473999999999728 y2[1] (analytic) = 0.6736804611310898 y2[1] (numeric) = 0.6736804611307158 absolute error = 3.740341369962152e-13 relative error = 5.552100121298202e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6736804611310898 y1[1] (numeric) = 0.673680461130833 absolute error = 2.567945855957987e-13 relative error = 3.811815844631268e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.474999999999728 y2[1] (analytic) = 0.6727353649292344 y2[1] (numeric) = 0.6727353649288602 absolute error = 3.741451592986778e-13 relative error = 5.561550333213632e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6727353649292344 y1[1] (numeric) = 0.6727353649289776 absolute error = 2.567945855957987e-13 relative error = 3.817170896357012e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.475999999999728 y2[1] (analytic) = 0.6717905959919868 y2[1] (numeric) = 0.6717905959916125 absolute error = 3.742561816011403e-13 relative error = 5.571024420913514e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6717905959919868 y1[1] (numeric) = 0.67179059599173 absolute error = 2.567945855957987e-13 relative error = 3.822539153240273e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.476999999999728 y2[1] (analytic) = 0.6708461552641158 y2[1] (numeric) = 0.6708461552637415 absolute error = 3.743672039036028e-13 relative error = 5.580522463547732e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6708461552641158 y1[1] (numeric) = 0.670846155263859 absolute error = 2.567945855957987e-13 relative error = 3.827920657825001e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.477999999999728 y2[1] (analytic) = 0.6699020436900622 y2[1] (numeric) = 0.6699020436896876 absolute error = 3.745892485085278e-13 relative error = 5.591701832183628e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6699020436900622 y1[1] (numeric) = 0.6699020436898054 absolute error = 2.567945855957987e-13 relative error = 3.833315452827721e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.478999999999728 y2[1] (analytic) = 0.6689582622139373 y2[1] (numeric) = 0.6689582622135627 absolute error = 3.745892485085278e-13 relative error = 5.599590731846462e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6689582622139373 y1[1] (numeric) = 0.6689582622136806 absolute error = 2.566835632933362e-13 relative error = 3.837063951401606e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.479999999999728 y2[1] (analytic) = 0.6680148117795227 y2[1] (numeric) = 0.6680148117791479 absolute error = 3.748112931134528e-13 relative error = 5.610823091107728e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6680148117795227 y1[1] (numeric) = 0.6680148117792659 absolute error = 2.567945855957987e-13 relative error = 3.844145085821142e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.480999999999728 y2[1] (analytic) = 0.6670716933302686 y2[1] (numeric) = 0.6670716933298937 absolute error = 3.749223154159154e-13 relative error = 5.620420101236263e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6670716933302686 y1[1] (numeric) = 0.6670716933300118 absolute error = 2.567945855957987e-13 relative error = 3.849580010115332e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.481999999999728 y2[1] (analytic) = 0.6661289078092935 y2[1] (numeric) = 0.6661289078089184 absolute error = 3.750333377183779e-13 relative error = 5.630041472779717e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6661289078092935 y1[1] (numeric) = 0.6661289078090367 absolute error = 2.567945855957987e-13 relative error = 3.8550283974362e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.482999999999727 y2[1] (analytic) = 0.6651864561593827 y2[1] (numeric) = 0.6651864561590075 absolute error = 3.751443600208404e-13 relative error = 5.639687286882365e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6651864561593827 y1[1] (numeric) = 0.6651864561591259 absolute error = 2.567945855957987e-13 relative error = 3.860490291375824e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.483999999999727 y2[1] (analytic) = 0.6642443393229878 y2[1] (numeric) = 0.6642443393226125 absolute error = 3.752553823233029e-13 relative error = 5.649357625023517e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6642443393229878 y1[1] (numeric) = 0.664244339322731 absolute error = 2.567945855957987e-13 relative error = 3.865965735703963e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.484999999999727 y2[1] (analytic) = 0.6633025582422256 y2[1] (numeric) = 0.6633025582418502 absolute error = 3.753664046257654e-13 relative error = 5.65905256901917e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6633025582422256 y1[1] (numeric) = 0.6633025582419688 absolute error = 2.567945855957987e-13 relative error = 3.871454774368926e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.485999999999727 y2[1] (analytic) = 0.6623611138588772 y2[1] (numeric) = 0.6623611138585016 absolute error = 3.755884492306905e-13 relative error = 5.670448360751948e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6623611138588772 y1[1] (numeric) = 0.6623611138586204 absolute error = 2.567945855957987e-13 relative error = 3.87695745149845e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.486999999999727 y2[1] (analytic) = 0.6614200071143866 y2[1] (numeric) = 0.6614200071140111 absolute error = 3.755884492306905e-13 relative error = 5.678516603531405e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6614200071143866 y1[1] (numeric) = 0.66142000711413 absolute error = 2.566835632933362e-13 relative error = 3.880795266735031e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.487999999999727 y2[1] (analytic) = 0.6604792389498609 y2[1] (numeric) = 0.6604792389494851 absolute error = 3.758104938356155e-13 relative error = 5.689966794916085e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6604792389498609 y1[1] (numeric) = 0.6604792389496041 absolute error = 2.567945855957987e-13 relative error = 3.888003898564521e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.488999999999727 y2[1] (analytic) = 0.6595388103060679 y2[1] (numeric) = 0.6595388103056919 absolute error = 3.75921516138078e-13 relative error = 5.699763384108155e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6595388103060679 y1[1] (numeric) = 0.6595388103058111 absolute error = 2.567945855957987e-13 relative error = 3.893547757661596e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.489999999999727 y2[1] (analytic) = 0.6585987221234362 y2[1] (numeric) = 0.6585987221230601 absolute error = 3.760325384405405e-13 relative error = 5.709584999317135e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6585987221234362 y1[1] (numeric) = 0.6585987221231794 absolute error = 2.567945855957987e-13 relative error = 3.899105433546068e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.490999999999727 y2[1] (analytic) = 0.6576589753420539 y2[1] (numeric) = 0.6576589753416777 absolute error = 3.76143560743003e-13 relative error = 5.719431724433893e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6576589753420539 y1[1] (numeric) = 0.6576589753417971 absolute error = 2.567945855957987e-13 relative error = 3.904676971256079e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.491999999999726 y2[1] (analytic) = 0.6567195709016678 y2[1] (numeric) = 0.6567195709012914 absolute error = 3.763656053479281e-13 relative error = 5.730994202459701e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6567195709016678 y1[1] (numeric) = 0.6567195709014109 absolute error = 2.569056078982612e-13 relative error = 3.911952974776327e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.492999999999726 y2[1] (analytic) = 0.655780509741682 y2[1] (numeric) = 0.6557805097413056 absolute error = 3.763656053479281e-13 relative error = 5.739200841699031e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.655780509741682 y1[1] (numeric) = 0.6557805097414252 absolute error = 2.567945855957987e-13 relative error = 3.915861813230046e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.493999999999726 y2[1] (analytic) = 0.654841792801158 y2[1] (numeric) = 0.6548417928007815 absolute error = 3.764766276503906e-13 relative error = 5.749123403379163e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.654841792801158 y1[1] (numeric) = 0.6548417928009012 absolute error = 2.567945855957987e-13 relative error = 3.92147520849779e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.494999999999726 y2[1] (analytic) = 0.6539034210188123 y2[1] (numeric) = 0.6539034210184357 absolute error = 3.765876499528531e-13 relative error = 5.759071414034076e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6539034210188123 y1[1] (numeric) = 0.6539034210185555 absolute error = 2.567945855957987e-13 relative error = 3.927102647600477e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.495999999999726 y2[1] (analytic) = 0.6529653953330168 y2[1] (numeric) = 0.6529653953326401 absolute error = 3.766986722553156e-13 relative error = 5.769044959315137e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6529653953330168 y1[1] (numeric) = 0.65296539533276 absolute error = 2.567945855957987e-13 relative error = 3.932744176509258e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.496999999999726 y2[1] (analytic) = 0.652027716681797 y2[1] (numeric) = 0.6520277166814202 absolute error = 3.768096945577781e-13 relative error = 5.779044125231091e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.652027716681797 y1[1] (numeric) = 0.6520277166815402 absolute error = 2.567945855957987e-13 relative error = 3.938399841384653e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.497999999999726 y2[1] (analytic) = 0.6510903860028316 y2[1] (numeric) = 0.6510903860024546 absolute error = 3.770317391627032e-13 relative error = 5.790774173112478e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6510903860028316 y1[1] (numeric) = 0.6510903860025749 absolute error = 2.567945855957987e-13 relative error = 3.944069688577492e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.498999999999726 y2[1] (analytic) = 0.650153404233451 y2[1] (numeric) = 0.650153404233074 absolute error = 3.770317391627032e-13 relative error = 5.79911966480025e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.650153404233451 y1[1] (numeric) = 0.6501534042331943 absolute error = 2.566835632933362e-13 relative error = 3.948046132219722e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.499999999999726 y2[1] (analytic) = 0.6492167723106371 y2[1] (numeric) = 0.64921677231026 absolute error = 3.771427614651657e-13 relative error = 5.809196212273925e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6492167723106371 y1[1] (numeric) = 0.6492167723103804 absolute error = 2.566835632933362e-13 relative error = 3.953742020246487e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.500999999999725 y2[1] (analytic) = 0.6482804911710217 y2[1] (numeric) = 0.6482804911706445 absolute error = 3.772537837676282e-13 relative error = 5.819298728027056e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6482804911710217 y1[1] (numeric) = 0.648280491170765 absolute error = 2.566835632933362e-13 relative error = 3.959452224602282e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.501999999999725 y2[1] (analytic) = 0.6473445617508857 y2[1] (numeric) = 0.6473445617505084 absolute error = 3.773648060700907e-13 relative error = 5.829427299882224e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6473445617508857 y1[1] (numeric) = 0.647344561750629 absolute error = 2.566835632933362e-13 relative error = 3.965176792388261e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.502999999999725 y2[1] (analytic) = 0.6464089849861587 y2[1] (numeric) = 0.6464089849857811 absolute error = 3.775868506750157e-13 relative error = 5.841299540152599e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6464089849861587 y1[1] (numeric) = 0.6464089849859019 absolute error = 2.567945855957987e-13 relative error = 3.972633295022923e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.503999999999725 y2[1] (analytic) = 0.6454737618124172 y2[1] (numeric) = 0.6454737618120395 absolute error = 3.776978729774783e-13 relative error = 5.851482977665048e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6454737618124172 y1[1] (numeric) = 0.6454737618121604 absolute error = 2.567945855957987e-13 relative error = 3.978389220264331e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.504999999999725 y2[1] (analytic) = 0.6445388931648843 y2[1] (numeric) = 0.6445388931645065 absolute error = 3.778088952799408e-13 relative error = 5.861692743238237e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6445388931648843 y1[1] (numeric) = 0.6445388931646275 absolute error = 2.567945855957987e-13 relative error = 3.984159657687347e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.505999999999725 y2[1] (analytic) = 0.6436043799784286 y2[1] (numeric) = 0.6436043799780508 absolute error = 3.778088952799408e-13 relative error = 5.870203917701798e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6436043799784286 y1[1] (numeric) = 0.6436043799781719 absolute error = 2.566835632933362e-13 relative error = 3.988219646701897e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.506999999999725 y2[1] (analytic) = 0.6426702231875633 y2[1] (numeric) = 0.6426702231871853 absolute error = 3.780309398848658e-13 relative error = 5.882191616251955e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6426702231875633 y1[1] (numeric) = 0.6426702231873065 absolute error = 2.567945855957987e-13 relative error = 3.995744260907716e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.507999999999725 y2[1] (analytic) = 0.6417364237264449 y2[1] (numeric) = 0.6417364237260668 absolute error = 3.781419621873283e-13 relative error = 5.892480903476349e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6417364237264449 y1[1] (numeric) = 0.6417364237261882 absolute error = 2.566835632933362e-13 relative error = 3.999828493493047e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.508999999999725 y2[1] (analytic) = 0.640802982528873 y2[1] (numeric) = 0.6408029825284948 absolute error = 3.782529844897908e-13 relative error = 5.902796878333002e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.640802982528873 y1[1] (numeric) = 0.6408029825286163 absolute error = 2.566835632933362e-13 relative error = 4.00565494062398e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.509999999999724 y2[1] (analytic) = 0.6398699005282887 y2[1] (numeric) = 0.6398699005279103 absolute error = 3.784750290947159e-13 relative error = 5.9148747078467e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6398699005282887 y1[1] (numeric) = 0.6398699005280319 absolute error = 2.567945855957987e-13 relative error = 4.013231211278796e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.510999999999724 y2[1] (analytic) = 0.6389371786577738 y2[1] (numeric) = 0.6389371786573953 absolute error = 3.784750290947159e-13 relative error = 5.923509254693627e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6389371786577738 y1[1] (numeric) = 0.6389371786575171 absolute error = 2.566835632933362e-13 relative error = 4.017352125799843e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.511999999999724 y2[1] (analytic) = 0.6380048178500501 y2[1] (numeric) = 0.6380048178496716 absolute error = 3.785860513971784e-13 relative error = 5.933905839033291e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6380048178500501 y1[1] (numeric) = 0.6380048178497935 absolute error = 2.566835632933362e-13 relative error = 4.023222961831369e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.512999999999724 y2[1] (analytic) = 0.6370728190374785 y2[1] (numeric) = 0.6370728190370998 absolute error = 3.786970736996409e-13 relative error = 5.944329476680474e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6370728190374785 y1[1] (numeric) = 0.6370728190372218 absolute error = 2.566835632933362e-13 relative error = 4.029108692490547e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.513999999999724 y2[1] (analytic) = 0.6361411831520576 y2[1] (numeric) = 0.6361411831516787 absolute error = 3.789191183045659e-13 relative error = 5.956525506288318e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6361411831520576 y1[1] (numeric) = 0.6361411831518009 absolute error = 2.566835632933362e-13 relative error = 4.035009367283501e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.514999999999724 y2[1] (analytic) = 0.6352099111254231 y2[1] (numeric) = 0.6352099111250441 absolute error = 3.790301406070284e-13 relative error = 5.967006086782994e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6352099111254231 y1[1] (numeric) = 0.6352099111251664 absolute error = 2.566835632933362e-13 relative error = 4.04092503592334e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.515999999999724 y2[1] (analytic) = 0.6342790038888472 y2[1] (numeric) = 0.634279003888468 absolute error = 3.79141162909491e-13 relative error = 5.977514005428638e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6342790038888472 y1[1] (numeric) = 0.6342790038885905 absolute error = 2.566835632933362e-13 relative error = 4.046855748331189e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.516999999999724 y2[1] (analytic) = 0.6333484623732369 y2[1] (numeric) = 0.6333484623728576 absolute error = 3.79363207514416e-13 relative error = 5.989802297662395e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6333484623732369 y1[1] (numeric) = 0.6333484623729801 absolute error = 2.567945855957987e-13 relative error = 4.054554496486134e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.517999999999724 y2[1] (analytic) = 0.6324182875091336 y2[1] (numeric) = 0.6324182875087542 absolute error = 3.794742298168785e-13 relative error = 6.000367752037816e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6324182875091336 y1[1] (numeric) = 0.632418287508877 absolute error = 2.566835632933362e-13 relative error = 4.058762505181811e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.518999999999723 y2[1] (analytic) = 0.6314884802267123 y2[1] (numeric) = 0.6314884802263326 absolute error = 3.796962744218035e-13 relative error = 6.012718938047576e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6314884802267123 y1[1] (numeric) = 0.6314884802264555 absolute error = 2.567945855957987e-13 relative error = 4.066496755469018e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.519999999999723 y2[1] (analytic) = 0.63055904145578 y2[1] (numeric) = 0.6305590414554002 absolute error = 3.798072967242661e-13 relative error = 6.023342332026513e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.63055904145578 y1[1] (numeric) = 0.6305590414555232 absolute error = 2.567945855957987e-13 relative error = 4.072490737789338e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.520999999999723 y2[1] (analytic) = 0.6296299721257754 y2[1] (numeric) = 0.6296299721253955 absolute error = 3.799183190267286e-13 relative error = 6.0339935493229e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6296299721257754 y1[1] (numeric) = 0.6296299721255186 absolute error = 2.567945855957987e-13 relative error = 4.078500023256536e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.521999999999723 y2[1] (analytic) = 0.628701273165768 y2[1] (numeric) = 0.6287012731653878 absolute error = 3.801403636316536e-13 relative error = 6.046438584695263e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.628701273165768 y1[1] (numeric) = 0.6287012731655111 absolute error = 2.569056078982612e-13 relative error = 4.086290562203516e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.522999999999723 y2[1] (analytic) = 0.6277729455044563 y2[1] (numeric) = 0.627772945504076 absolute error = 3.802513859341161e-13 relative error = 6.057148347298711e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6277729455044563 y1[1] (numeric) = 0.6277729455041994 absolute error = 2.569056078982612e-13 relative error = 4.092333219167654e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.523999999999723 y2[1] (analytic) = 0.6268449900701681 y2[1] (numeric) = 0.6268449900697878 absolute error = 3.803624082365786e-13 relative error = 6.067886228045013e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6268449900701681 y1[1] (numeric) = 0.6268449900699112 absolute error = 2.569056078982612e-13 relative error = 4.098391340249901e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.524999999999723 y2[1] (analytic) = 0.6259174077908588 y2[1] (numeric) = 0.6259174077904783 absolute error = 3.804734305390411e-13 relative error = 6.07865232382498e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6259174077908588 y1[1] (numeric) = 0.6259174077906019 absolute error = 2.569056078982612e-13 relative error = 4.104464977336155e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.525999999999723 y2[1] (analytic) = 0.6249901995941104 y2[1] (numeric) = 0.6249901995937299 absolute error = 3.804734305390411e-13 relative error = 6.087670347249179e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6249901995941104 y1[1] (numeric) = 0.6249901995938536 absolute error = 2.567945855957987e-13 relative error = 4.108777797836985e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.526999999999723 y2[1] (analytic) = 0.6240633664071313 y2[1] (numeric) = 0.6240633664067506 absolute error = 3.806954751439662e-13 relative error = 6.100269550121375e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6240633664071313 y1[1] (numeric) = 0.6240633664068744 absolute error = 2.569056078982612e-13 relative error = 4.116659008160064e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.527999999999722 y2[1] (analytic) = 0.6231369091567545 y2[1] (numeric) = 0.6231369091563737 absolute error = 3.808064974464287e-13 relative error = 6.111120876498012e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6231369091567545 y1[1] (numeric) = 0.6231369091564976 absolute error = 2.569056078982612e-13 relative error = 4.122779506768629e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.528999999999722 y2[1] (analytic) = 0.622210828769437 y2[1] (numeric) = 0.6222108287690561 absolute error = 3.809175197488912e-13 relative error = 6.122000809632998e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.622210828769437 y1[1] (numeric) = 0.6222108287691801 absolute error = 2.569056078982612e-13 relative error = 4.128915731125257e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.529999999999722 y2[1] (analytic) = 0.6212851261712593 y2[1] (numeric) = 0.6212851261708783 absolute error = 3.810285420513537e-13 relative error = 6.13290944850854e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6212851261712593 y1[1] (numeric) = 0.6212851261710024 absolute error = 2.569056078982612e-13 relative error = 4.135067734221668e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.530999999999722 y2[1] (analytic) = 0.6203598022879239 y2[1] (numeric) = 0.6203598022875427 absolute error = 3.811395643538162e-13 relative error = 6.143846892531573e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6203598022879239 y1[1] (numeric) = 0.620359802287667 absolute error = 2.569056078982612e-13 relative error = 4.141235569274122e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.531999999999722 y2[1] (analytic) = 0.6194348580447545 y2[1] (numeric) = 0.6194348580443733 absolute error = 3.812505866562788e-13 relative error = 6.154813241535935e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6194348580447545 y1[1] (numeric) = 0.6194348580444976 absolute error = 2.569056078982612e-13 relative error = 4.147419289724564e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.532999999999722 y2[1] (analytic) = 0.6185102943666954 y2[1] (numeric) = 0.618510294366314 absolute error = 3.813616089587413e-13 relative error = 6.165808595784566e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6185102943666954 y1[1] (numeric) = 0.6185102943664385 absolute error = 2.569056078982612e-13 relative error = 4.153618949241772e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.533999999999722 y2[1] (analytic) = 0.6175861121783102 y2[1] (numeric) = 0.6175861121779286 absolute error = 3.815836535636663e-13 relative error = 6.178630737303481e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6175861121783102 y1[1] (numeric) = 0.6175861121780531 absolute error = 2.570166302007237e-13 relative error = 4.16163228305428e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.534999999999722 y2[1] (analytic) = 0.6166623124037808 y2[1] (numeric) = 0.6166623124033992 absolute error = 3.815836535636663e-13 relative error = 6.187886723225131e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6166623124037808 y1[1] (numeric) = 0.6166623124035239 absolute error = 2.569056078982612e-13 relative error = 4.166066301292683e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.535999999999722 y2[1] (analytic) = 0.6157388959669071 y2[1] (numeric) = 0.6157388959665254 absolute error = 3.816946758661288e-13 relative error = 6.198969699108353e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6157388959669071 y1[1] (numeric) = 0.6157388959666502 absolute error = 2.569056078982612e-13 relative error = 4.172314102308531e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.536999999999721 y2[1] (analytic) = 0.6148158637911055 y2[1] (numeric) = 0.6148158637907236 absolute error = 3.819167204710538e-13 relative error = 6.21188786697958e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6148158637911055 y1[1] (numeric) = 0.6148158637908485 absolute error = 2.570166302007237e-13 relative error = 4.180383840714456e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.537999999999721 y2[1] (analytic) = 0.6138932167994079 y2[1] (numeric) = 0.613893216799026 absolute error = 3.819167204710538e-13 relative error = 6.221223985210553e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6138932167994079 y1[1] (numeric) = 0.613893216799151 absolute error = 2.569056078982612e-13 relative error = 4.18485822726082e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.538999999999721 y2[1] (analytic) = 0.6129709559144614 y2[1] (numeric) = 0.6129709559140794 absolute error = 3.820277427735164e-13 relative error = 6.232395500755626e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6129709559144614 y1[1] (numeric) = 0.6129709559142045 absolute error = 2.569056078982612e-13 relative error = 4.191154661071931e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.539999999999721 y2[1] (analytic) = 0.6120490820585267 y2[1] (numeric) = 0.6120490820581446 absolute error = 3.821387650759789e-13 relative error = 6.243596735587247e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6120490820585267 y1[1] (numeric) = 0.6120490820582698 absolute error = 2.569056078982612e-13 relative error = 4.197467416080445e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.540999999999721 y2[1] (analytic) = 0.6111275961534777 y2[1] (numeric) = 0.6111275961530954 absolute error = 3.822497873784414e-13 relative error = 6.25482779348167e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6111275961534777 y1[1] (numeric) = 0.6111275961532208 absolute error = 2.569056078982612e-13 relative error = 4.203796547811962e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.541999999999721 y2[1] (analytic) = 0.6102064991208 y2[1] (numeric) = 0.6102064991204177 absolute error = 3.823608096809039e-13 relative error = 6.266088778664573e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6102064991208 y1[1] (numeric) = 0.6102064991205431 absolute error = 2.569056078982612e-13 relative error = 4.210142112029566e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.542999999999721 y2[1] (analytic) = 0.6092857918815908 y2[1] (numeric) = 0.6092857918812083 absolute error = 3.824718319833664e-13 relative error = 6.277379795813396e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6092857918815908 y1[1] (numeric) = 0.6092857918813339 absolute error = 2.569056078982612e-13 relative error = 4.216504164735036e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.543999999999721 y2[1] (analytic) = 0.6083654753565572 y2[1] (numeric) = 0.6083654753561746 absolute error = 3.825828542858289e-13 relative error = 6.28870095005968e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6083654753565572 y1[1] (numeric) = 0.6083654753563003 absolute error = 2.569056078982612e-13 relative error = 4.222882762170081e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.544999999999721 y2[1] (analytic) = 0.6074455504660154 y2[1] (numeric) = 0.6074455504656328 absolute error = 3.826938765882915e-13 relative error = 6.300052346991418e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6074455504660154 y1[1] (numeric) = 0.6074455504657585 absolute error = 2.569056078982612e-13 relative error = 4.229277960817564e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.54599999999972 y2[1] (analytic) = 0.6065260181298906 y2[1] (numeric) = 0.6065260181295078 absolute error = 3.82804898890754e-13 relative error = 6.311434092655434e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6065260181298906 y1[1] (numeric) = 0.6065260181296337 absolute error = 2.569056078982612e-13 relative error = 4.235689817402748e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.54699999999972 y2[1] (analytic) = 0.6056068792677148 y2[1] (numeric) = 0.6056068792673319 absolute error = 3.829159211932165e-13 relative error = 6.322846293559761e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6056068792677148 y1[1] (numeric) = 0.6056068792674579 absolute error = 2.569056078982612e-13 relative error = 4.242118388894546e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.54799999999972 y2[1] (analytic) = 0.6046881347986269 y2[1] (numeric) = 0.6046881347982439 absolute error = 3.83026943495679e-13 relative error = 6.334289056676042e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6046881347986269 y1[1] (numeric) = 0.60468813479837 absolute error = 2.569056078982612e-13 relative error = 4.248563732506771e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.54899999999972 y2[1] (analytic) = 0.6037697856413713 y2[1] (numeric) = 0.6037697856409882 absolute error = 3.831379657981415e-13 relative error = 6.34576248944194e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6037697856413713 y1[1] (numeric) = 0.6037697856411144 absolute error = 2.569056078982612e-13 relative error = 4.255025905699406e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.54999999999972 y2[1] (analytic) = 0.602851832714297 y2[1] (numeric) = 0.6028518327139137 absolute error = 3.83248988100604e-13 relative error = 6.357266699763573e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.602851832714297 y1[1] (numeric) = 0.6028518327140401 absolute error = 2.569056078982612e-13 relative error = 4.261504966179869e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.55099999999972 y2[1] (analytic) = 0.6019342769353568 y2[1] (numeric) = 0.6019342769349735 absolute error = 3.833600104030666e-13 relative error = 6.368801796017948e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6019342769353568 y1[1] (numeric) = 0.6019342769350999 absolute error = 2.569056078982612e-13 relative error = 4.268000971904296e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.55199999999972 y2[1] (analytic) = 0.6010171192221067 y2[1] (numeric) = 0.6010171192217232 absolute error = 3.834710327055291e-13 relative error = 6.380367887055425e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6010171192221067 y1[1] (numeric) = 0.6010171192218497 absolute error = 2.569056078982612e-13 relative error = 4.274513981078822e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.55299999999972 y2[1] (analytic) = 0.6001003604917039 y2[1] (numeric) = 0.6001003604913204 absolute error = 3.834710327055291e-13 relative error = 6.39011501994974e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.6001003604917039 y1[1] (numeric) = 0.6001003604914471 absolute error = 2.567945855957987e-13 relative error = 4.279193989908439e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.55399999999972 y2[1] (analytic) = 0.5991840016609075 y2[1] (numeric) = 0.5991840016605238 absolute error = 3.836930773104541e-13 relative error = 6.403593491262726e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5991840016609075 y1[1] (numeric) = 0.5991840016606506 absolute error = 2.569056078982612e-13 relative error = 4.287591243860517e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.554999999999719 y2[1] (analytic) = 0.5982680436460759 y2[1] (numeric) = 0.5982680436456921 absolute error = 3.838040996129166e-13 relative error = 6.41525322452235e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5982680436460759 y1[1] (numeric) = 0.598268043645819 absolute error = 2.569056078982612e-13 relative error = 4.29415561514166e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.555999999999719 y2[1] (analytic) = 0.5973524873631672 y2[1] (numeric) = 0.5973524873627832 absolute error = 3.839151219153791e-13 relative error = 6.426944392749696e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5973524873631672 y1[1] (numeric) = 0.5973524873629102 absolute error = 2.569056078982612e-13 relative error = 4.300737225223481e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.556999999999719 y2[1] (analytic) = 0.5964373337277376 y2[1] (numeric) = 0.5964373337273535 absolute error = 3.840261442178416e-13 relative error = 6.438667107199268e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5964373337277376 y1[1] (numeric) = 0.5964373337274806 absolute error = 2.569056078982612e-13 relative error = 4.307336133581702e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.557999999999719 y2[1] (analytic) = 0.5955225836549406 y2[1] (numeric) = 0.5955225836545565 absolute error = 3.841371665203042e-13 relative error = 6.450421479613979e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5955225836549406 y1[1] (numeric) = 0.5955225836546837 absolute error = 2.569056078982612e-13 relative error = 4.313952399949927e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.558999999999719 y2[1] (analytic) = 0.5946082380595262 y2[1] (numeric) = 0.594608238059142 absolute error = 3.842481888227667e-13 relative error = 6.462207622227722e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5946082380595262 y1[1] (numeric) = 0.5946082380592693 absolute error = 2.569056078982612e-13 relative error = 4.320586084320991e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.559999999999719 y2[1] (analytic) = 0.59369429785584 y2[1] (numeric) = 0.5936942978554557 absolute error = 3.843592111252292e-13 relative error = 6.474025647767948e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.59369429785584 y1[1] (numeric) = 0.5936942978555831 absolute error = 2.569056078982612e-13 relative error = 4.327237246948305e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.560999999999719 y2[1] (analytic) = 0.5927807639578222 y2[1] (numeric) = 0.5927807639574377 absolute error = 3.844702334276917e-13 relative error = 6.485875669458257e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5927807639578222 y1[1] (numeric) = 0.5927807639575653 absolute error = 2.569056078982612e-13 relative error = 4.333905948347215e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.561999999999719 y2[1] (analytic) = 0.5918676372790064 y2[1] (numeric) = 0.5918676372786218 absolute error = 3.845812557301542e-13 relative error = 6.497757801021019e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5918676372790064 y1[1] (numeric) = 0.5918676372787496 absolute error = 2.567945855957987e-13 relative error = 4.338716453164439e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.562999999999719 y2[1] (analytic) = 0.5909549187325194 y2[1] (numeric) = 0.5909549187321346 absolute error = 3.848033003350793e-13 relative error = 6.511550849943101e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5909549187325194 y1[1] (numeric) = 0.5909549187322626 absolute error = 2.567945855957987e-13 relative error = 4.345417517575993e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.563999999999719 y2[1] (analytic) = 0.5900426092310794 y2[1] (numeric) = 0.5900426092306946 absolute error = 3.848033003350793e-13 relative error = 6.521618851162968e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5900426092310794 y1[1] (numeric) = 0.5900426092308227 absolute error = 2.566835632933362e-13 relative error = 4.350254698179107e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.564999999999718 y2[1] (analytic) = 0.5891307096869962 y2[1] (numeric) = 0.5891307096866112 absolute error = 3.850253449400043e-13 relative error = 6.535482510232192e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5891307096869962 y1[1] (numeric) = 0.5891307096867395 absolute error = 2.566835632933362e-13 relative error = 4.356988340154795e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.565999999999718 y2[1] (analytic) = 0.5882192210121689 y2[1] (numeric) = 0.5882192210117839 absolute error = 3.850253449400043e-13 relative error = 6.545609718048281e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5882192210121689 y1[1] (numeric) = 0.5882192210119124 absolute error = 2.565725409908737e-13 relative error = 4.361852381317641e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.566999999999718 y2[1] (analytic) = 0.5873081441180864 y2[1] (numeric) = 0.5873081441177013 absolute error = 3.851363672424668e-13 relative error = 6.557654122450409e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5873081441180864 y1[1] (numeric) = 0.5873081441178298 absolute error = 2.565725409908737e-13 relative error = 4.368618817233466e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.567999999999718 y2[1] (analytic) = 0.5863974799158254 y2[1] (numeric) = 0.5863974799154401 absolute error = 3.852473895449293e-13 relative error = 6.569731329681529e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5863974799158254 y1[1] (numeric) = 0.5863974799155688 absolute error = 2.565725409908737e-13 relative error = 4.375403199681272e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.568999999999718 y2[1] (analytic) = 0.5854872293160499 y2[1] (numeric) = 0.5854872293156645 absolute error = 3.853584118473918e-13 relative error = 6.581841457029847e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5854872293160499 y1[1] (numeric) = 0.5854872293157933 absolute error = 2.565725409908737e-13 relative error = 4.382205591240558e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.569999999999718 y2[1] (analytic) = 0.5845773932290106 y2[1] (numeric) = 0.5845773932286251 absolute error = 3.854694341498544e-13 relative error = 6.593984622303811e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5845773932290106 y1[1] (numeric) = 0.584577393228754 absolute error = 2.565725409908737e-13 relative error = 4.389026054765008e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.570999999999718 y2[1] (analytic) = 0.5836679725645435 y2[1] (numeric) = 0.5836679725641579 absolute error = 3.855804564523169e-13 relative error = 6.606160943834868e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5836679725645435 y1[1] (numeric) = 0.5836679725642869 absolute error = 2.565725409908737e-13 relative error = 4.395864653383927e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.571999999999718 y2[1] (analytic) = 0.5827589682320691 y2[1] (numeric) = 0.5827589682316834 absolute error = 3.856914787547794e-13 relative error = 6.618370540480253e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5827589682320691 y1[1] (numeric) = 0.5827589682318125 absolute error = 2.565725409908737e-13 relative error = 4.402721450503703e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.572999999999718 y2[1] (analytic) = 0.5818503811405917 y2[1] (numeric) = 0.5818503811402059 absolute error = 3.858025010572419e-13 relative error = 6.63061353162577e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5818503811405917 y1[1] (numeric) = 0.5818503811403352 absolute error = 2.565725409908737e-13 relative error = 4.409596509809253e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.573999999999717 y2[1] (analytic) = 0.5809422121986983 y2[1] (numeric) = 0.5809422121983124 absolute error = 3.859135233597044e-13 relative error = 6.642890037188609e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5809422121986983 y1[1] (numeric) = 0.5809422121984418 absolute error = 2.565725409908737e-13 relative error = 4.4164898952655e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.574999999999717 y2[1] (analytic) = 0.5800344623145578 y2[1] (numeric) = 0.5800344623141718 absolute error = 3.860245456621669e-13 relative error = 6.655200177620177e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5800344623145578 y1[1] (numeric) = 0.5800344623143013 absolute error = 2.564615186884112e-13 relative error = 4.421487607219617e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.575999999999717 y2[1] (analytic) = 0.57912713239592 y2[1] (numeric) = 0.5791271323955338 absolute error = 3.861355679646294e-13 relative error = 6.667544073908941e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.57912713239592 y1[1] (numeric) = 0.5791271323956635 absolute error = 2.564615186884112e-13 relative error = 4.428414839197715e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.576999999999717 y2[1] (analytic) = 0.5782202233501147 y2[1] (numeric) = 0.5782202233497284 absolute error = 3.86246590267092e-13 relative error = 6.679921847583287e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5782202233501147 y1[1] (numeric) = 0.5782202233498582 absolute error = 2.564615186884112e-13 relative error = 4.435360582902384e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.577999999999717 y2[1] (analytic) = 0.5773137360840509 y2[1] (numeric) = 0.5773137360836645 absolute error = 3.863576125695545e-13 relative error = 6.692333620714418e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5773137360840509 y1[1] (numeric) = 0.5773137360837944 absolute error = 2.564615186884112e-13 relative error = 4.442324903405261e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.578999999999717 y2[1] (analytic) = 0.5764076715042158 y2[1] (numeric) = 0.5764076715038293 absolute error = 3.86468634872017e-13 relative error = 6.704779515919236e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5764076715042158 y1[1] (numeric) = 0.5764076715039593 absolute error = 2.564615186884112e-13 relative error = 4.449307866065336e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.579999999999717 y2[1] (analytic) = 0.5755020305166739 y2[1] (numeric) = 0.5755020305162873 absolute error = 3.865796571744795e-13 relative error = 6.717259656363266e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5755020305166739 y1[1] (numeric) = 0.5755020305164175 absolute error = 2.564615186884112e-13 relative error = 4.456309536530484e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.580999999999717 y2[1] (analytic) = 0.5745968140270661 y2[1] (numeric) = 0.5745968140266795 absolute error = 3.865796571744795e-13 relative error = 6.72784198828276e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5745968140270661 y1[1] (numeric) = 0.5745968140268097 absolute error = 2.563504963859486e-13 relative error = 4.461397803258154e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.581999999999717 y2[1] (analytic) = 0.5736920229406088 y2[1] (numeric) = 0.5736920229402221 absolute error = 3.86690679476942e-13 relative error = 6.740387943601823e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5736920229406088 y1[1] (numeric) = 0.5736920229403525 absolute error = 2.563504963859486e-13 relative error = 4.468434040131096e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.582999999999716 y2[1] (analytic) = 0.5727876581620931 y2[1] (numeric) = 0.5727876581617063 absolute error = 3.868017017794045e-13 relative error = 6.752968508793246e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5727876581620931 y1[1] (numeric) = 0.5727876581618367 absolute error = 2.563504963859486e-13 relative error = 4.475489175316764e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.583999999999716 y2[1] (analytic) = 0.5718837205958837 y2[1] (numeric) = 0.5718837205954967 absolute error = 3.869127240818671e-13 relative error = 6.765583809217667e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5718837205958837 y1[1] (numeric) = 0.5718837205956273 absolute error = 2.563504963859486e-13 relative error = 4.482563275605048e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.584999999999716 y2[1] (analytic) = 0.5709802111459179 y2[1] (numeric) = 0.5709802111455309 absolute error = 3.870237463843296e-13 relative error = 6.778233970799086e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5709802111459179 y1[1] (numeric) = 0.5709802111456616 absolute error = 2.563504963859486e-13 relative error = 4.489656408082355e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.585999999999716 y2[1] (analytic) = 0.5700771307157052 y2[1] (numeric) = 0.5700771307153181 absolute error = 3.871347686867921e-13 relative error = 6.790919120027889e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5700771307157052 y1[1] (numeric) = 0.570077130715449 absolute error = 2.562394740834861e-13 relative error = 4.494821143970281e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.586999999999716 y2[1] (analytic) = 0.569174480208326 y2[1] (numeric) = 0.5691744802079388 absolute error = 3.871347686867921e-13 relative error = 6.801688799278127e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.569174480208326 y1[1] (numeric) = 0.5691744802080698 absolute error = 2.561284517810236e-13 relative error = 4.499998870070157e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.587999999999716 y2[1] (analytic) = 0.5682722605264307 y2[1] (numeric) = 0.5682722605260434 absolute error = 3.872457909892546e-13 relative error = 6.814441208700236e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5682722605264307 y1[1] (numeric) = 0.5682722605261745 absolute error = 2.561284517810236e-13 relative error = 4.507143310914979e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.588999999999716 y2[1] (analytic) = 0.5673704725722388 y2[1] (numeric) = 0.5673704725718515 absolute error = 3.873568132917171e-13 relative error = 6.827228980309651e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5673704725722388 y1[1] (numeric) = 0.5673704725719827 absolute error = 2.561284517810236e-13 relative error = 4.514307038571042e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.589999999999716 y2[1] (analytic) = 0.5664691172475385 y2[1] (numeric) = 0.5664691172471509 absolute error = 3.875788578966421e-13 relative error = 6.842012143219381e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5664691172475385 y1[1] (numeric) = 0.5664691172472823 absolute error = 2.561284517810236e-13 relative error = 4.521490121571788e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.590999999999716 y2[1] (analytic) = 0.5655681954536846 y2[1] (numeric) = 0.565568195453297 absolute error = 3.876898801991047e-13 relative error = 6.854874148078811e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5655681954536846 y1[1] (numeric) = 0.5655681954534285 absolute error = 2.561284517810236e-13 relative error = 4.528692628756534e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.591999999999715 y2[1] (analytic) = 0.5646677080915992 y2[1] (numeric) = 0.5646677080912114 absolute error = 3.878009025015672e-13 relative error = 6.867771911594048e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5646677080915992 y1[1] (numeric) = 0.564667708091343 absolute error = 2.561284517810236e-13 relative error = 4.535914629272106e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.592999999999715 y2[1] (analytic) = 0.5637676560617693 y2[1] (numeric) = 0.5637676560613815 absolute error = 3.878009025015672e-13 relative error = 6.878736272502262e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5637676560617693 y1[1] (numeric) = 0.5637676560615132 absolute error = 2.560174294785611e-13 relative error = 4.541186900770173e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.593999999999715 y2[1] (analytic) = 0.562868040264247 y2[1] (numeric) = 0.5628680402638591 absolute error = 3.879119248040297e-13 relative error = 6.891702798082452e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.562868040264247 y1[1] (numeric) = 0.562868040263991 absolute error = 2.560174294785611e-13 relative error = 4.548444949163748e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.594999999999715 y2[1] (analytic) = 0.561968861598648 y2[1] (numeric) = 0.56196886159826 absolute error = 3.880229471064922e-13 relative error = 6.904705467179674e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.561968861598648 y1[1] (numeric) = 0.561968861598392 absolute error = 2.560174294785611e-13 relative error = 4.555722691649879e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.595999999999715 y2[1] (analytic) = 0.561070120964151 y2[1] (numeric) = 0.5610701209637629 absolute error = 3.881339694089547e-13 relative error = 6.917744412088452e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.561070120964151 y1[1] (numeric) = 0.561070120963895 absolute error = 2.560174294785611e-13 relative error = 4.563020198591525e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.596999999999715 y2[1] (analytic) = 0.5601718192594964 y2[1] (numeric) = 0.5601718192591082 absolute error = 3.882449917114172e-13 relative error = 6.930819765704153e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5601718192594964 y1[1] (numeric) = 0.5601718192592404 absolute error = 2.560174294785611e-13 relative error = 4.570337540667366e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.597999999999715 y2[1] (analytic) = 0.5592739573829859 y2[1] (numeric) = 0.5592739573825976 absolute error = 3.883560140138798e-13 relative error = 6.943931661526249e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5592739573829859 y1[1] (numeric) = 0.5592739573827299 absolute error = 2.560174294785611e-13 relative error = 4.577674788873508e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.598999999999715 y2[1] (analytic) = 0.5583765362324813 y2[1] (numeric) = 0.5583765362320928 absolute error = 3.884670363163423e-13 relative error = 6.957080233661595e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5583765362324813 y1[1] (numeric) = 0.5583765362322253 absolute error = 2.560174294785611e-13 relative error = 4.585032014525189e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.599999999999715 y2[1] (analytic) = 0.5574795567054036 y2[1] (numeric) = 0.557479556705015 absolute error = 3.885780586188048e-13 relative error = 6.970265616827745e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5574795567054036 y1[1] (numeric) = 0.5574795567051476 absolute error = 2.560174294785611e-13 relative error = 4.592409289258508e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.600999999999714 y2[1] (analytic) = 0.5565830196987324 y2[1] (numeric) = 0.5565830196983437 absolute error = 3.886890809212673e-13 relative error = 6.983487946356273e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5565830196987324 y1[1] (numeric) = 0.5565830196984763 absolute error = 2.560174294785611e-13 relative error = 4.599806685032152e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.601999999999714 y2[1] (analytic) = 0.5556869261090045 y2[1] (numeric) = 0.5556869261086157 absolute error = 3.888001032237298e-13 relative error = 6.996747358196118e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5556869261090045 y1[1] (numeric) = 0.5556869261087485 absolute error = 2.560174294785611e-13 relative error = 4.60722427412914e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.602999999999714 y2[1] (analytic) = 0.5547912768323134 y2[1] (numeric) = 0.5547912768319245 absolute error = 3.889111255261923e-13 relative error = 7.010043988916959e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5547912768323134 y1[1] (numeric) = 0.5547912768320575 absolute error = 2.559064071760986e-13 relative error = 4.612660974722692e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.603999999999714 y2[1] (analytic) = 0.5538960727643085 y2[1] (numeric) = 0.5538960727639195 absolute error = 3.890221478286549e-13 relative error = 7.0233779757126e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5538960727643085 y1[1] (numeric) = 0.5538960727640526 absolute error = 2.559064071760986e-13 relative error = 4.620115934365738e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.604999999999714 y2[1] (analytic) = 0.5530013148001937 y2[1] (numeric) = 0.5530013147998045 absolute error = 3.891331701311174e-13 relative error = 7.036749456404386e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5530013148001937 y1[1] (numeric) = 0.5530013147999377 absolute error = 2.559064071760986e-13 relative error = 4.627591297293042e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.605999999999714 y2[1] (analytic) = 0.5521070038347267 y2[1] (numeric) = 0.5521070038343375 absolute error = 3.891331701311174e-13 relative error = 7.048147685654146e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5521070038347267 y1[1] (numeric) = 0.5521070038344709 absolute error = 2.557953848736361e-13 relative error = 4.633076253280215e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.606999999999714 y2[1] (analytic) = 0.5512131407622186 y2[1] (numeric) = 0.5512131407618294 absolute error = 3.892441924335799e-13 relative error = 7.061591309222641e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5512131407622186 y1[1] (numeric) = 0.5512131407619628 absolute error = 2.557953848736361e-13 relative error = 4.640589382900446e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.607999999999714 y2[1] (analytic) = 0.5503197264765323 y2[1] (numeric) = 0.550319726476143 absolute error = 3.892441924335799e-13 relative error = 7.073055420450728e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5503197264765323 y1[1] (numeric) = 0.5503197264762766 absolute error = 2.556843625711736e-13 relative error = 4.646105714004001e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.608999999999714 y2[1] (analytic) = 0.5494267618710821 y2[1] (numeric) = 0.5494267618706927 absolute error = 3.893552147360424e-13 relative error = 7.086571709941588e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5494267618710821 y1[1] (numeric) = 0.5494267618708264 absolute error = 2.556843625711736e-13 relative error = 4.653656871398768e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.609999999999713 y2[1] (analytic) = 0.5485342478388324 y2[1] (numeric) = 0.548534247838443 absolute error = 3.894662370385049e-13 relative error = 7.100126173943763e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5485342478388324 y1[1] (numeric) = 0.5485342478385768 absolute error = 2.55573340268711e-13 relative error = 4.659204803996164e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.610999999999713 y2[1] (analytic) = 0.5476421852722974 y2[1] (numeric) = 0.5476421852719078 absolute error = 3.895772593409674e-13 relative error = 7.113718954051407e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5476421852722974 y1[1] (numeric) = 0.5476421852720418 absolute error = 2.55573340268711e-13 relative error = 4.666794252558091e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.611999999999713 y2[1] (analytic) = 0.5467505750635393 y2[1] (numeric) = 0.5467505750631496 absolute error = 3.896882816434299e-13 relative error = 7.127350192510419e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5467505750635393 y1[1] (numeric) = 0.5467505750632837 absolute error = 2.55573340268711e-13 relative error = 4.674404599190594e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.612999999999713 y2[1] (analytic) = 0.5458594181041684 y2[1] (numeric) = 0.5458594181037786 absolute error = 3.897993039458925e-13 relative error = 7.141020032222026e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5458594181041684 y1[1] (numeric) = 0.5458594181039128 absolute error = 2.55573340268711e-13 relative error = 4.682035919730876e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.613999999999713 y2[1] (analytic) = 0.5449687152853415 y2[1] (numeric) = 0.5449687152849516 absolute error = 3.89910326248355e-13 relative error = 7.154728616746392e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5449687152853415 y1[1] (numeric) = 0.5449687152850859 absolute error = 2.55573340268711e-13 relative error = 4.689688290361673e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.614999999999713 y2[1] (analytic) = 0.5440784674977615 y2[1] (numeric) = 0.5440784674973714 absolute error = 3.900213485508175e-13 relative error = 7.168476090306261e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5440784674977615 y1[1] (numeric) = 0.5440784674975059 absolute error = 2.55573340268711e-13 relative error = 4.697361787613155e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.615999999999713 y2[1] (analytic) = 0.5431886756316759 y2[1] (numeric) = 0.5431886756312858 absolute error = 3.9013237085328e-13 relative error = 7.182262597790607e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5431886756316759 y1[1] (numeric) = 0.5431886756314204 absolute error = 2.55573340268711e-13 relative error = 4.70505648836482e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.616999999999713 y2[1] (analytic) = 0.5422993405768767 y2[1] (numeric) = 0.5422993405764864 absolute error = 3.902433931557425e-13 relative error = 7.196088284758321e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5422993405768767 y1[1] (numeric) = 0.5422993405766212 absolute error = 2.554623179662485e-13 relative error = 4.710725218557296e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.617999999999713 y2[1] (analytic) = 0.5414104632226987 y2[1] (numeric) = 0.5414104632223083 absolute error = 3.90354415458205e-13 relative error = 7.209953297441914e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5414104632226987 y1[1] (numeric) = 0.5414104632224432 absolute error = 2.554623179662485e-13 relative error = 4.718459197216679e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.618999999999712 y2[1] (analytic) = 0.5405220444580193 y2[1] (numeric) = 0.5405220444576289 absolute error = 3.904654377606676e-13 relative error = 7.223857782751242e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5405220444580193 y1[1] (numeric) = 0.5405220444577639 absolute error = 2.554623179662485e-13 relative error = 4.726214602817915e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.619999999999712 y2[1] (analytic) = 0.5396340851712572 y2[1] (numeric) = 0.5396340851708666 absolute error = 3.905764600631301e-13 relative error = 7.237801888277266e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5396340851712572 y1[1] (numeric) = 0.5396340851710018 absolute error = 2.554623179662485e-13 relative error = 4.733991513623078e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.620999999999712 y2[1] (analytic) = 0.5387465862503715 y2[1] (numeric) = 0.5387465862499808 absolute error = 3.906874823655926e-13 relative error = 7.251785762295828e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5387465862503715 y1[1] (numeric) = 0.5387465862501161 absolute error = 2.554623179662485e-13 relative error = 4.741790008253112e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.621999999999712 y2[1] (analytic) = 0.5378595485828611 y2[1] (numeric) = 0.5378595485824704 absolute error = 3.906874823655926e-13 relative error = 7.263745403330036e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5378595485828611 y1[1] (numeric) = 0.5378595485826058 absolute error = 2.55351295663786e-13 relative error = 4.74754601524839e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.622999999999712 y2[1] (analytic) = 0.5369729730557636 y2[1] (numeric) = 0.5369729730553728 absolute error = 3.907985046680551e-13 relative error = 7.277805853879938e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5369729730557636 y1[1] (numeric) = 0.5369729730555083 absolute error = 2.55351295663786e-13 relative error = 4.75538450679655e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.623999999999712 y2[1] (analytic) = 0.5360868605556546 y2[1] (numeric) = 0.5360868605552637 absolute error = 3.909095269705176e-13 relative error = 7.291906512413669e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5360868605556546 y1[1] (numeric) = 0.5360868605553992 absolute error = 2.55351295663786e-13 relative error = 4.763244810721795e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.624999999999712 y2[1] (analytic) = 0.5352012119686462 y2[1] (numeric) = 0.5352012119682552 absolute error = 3.910205492729801e-13 relative error = 7.30604752995005e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5352012119686462 y1[1] (numeric) = 0.535201211968391 absolute error = 2.552402733613235e-13 relative error = 4.769052604019071e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.625999999999712 y2[1] (analytic) = 0.5343160281803871 y2[1] (numeric) = 0.5343160281799961 absolute error = 3.910205492729801e-13 relative error = 7.318151218570035e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5343160281803871 y1[1] (numeric) = 0.534316028180132 absolute error = 2.55129251058861e-13 relative error = 4.774875496954554e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.626999999999712 y2[1] (analytic) = 0.5334313100760611 y2[1] (numeric) = 0.53343131007567 absolute error = 3.911315715754426e-13 relative error = 7.332369963804183e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5334313100760611 y1[1] (numeric) = 0.533431310075806 absolute error = 2.55129251058861e-13 relative error = 4.782794827369291e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.627999999999711 y2[1] (analytic) = 0.5325470585403862 y2[1] (numeric) = 0.532547058539995 absolute error = 3.912425938779052e-13 relative error = 7.346629515713209e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5325470585403862 y1[1] (numeric) = 0.5325470585401311 absolute error = 2.55129251058861e-13 relative error = 4.79073627329993e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.628999999999711 y2[1] (analytic) = 0.5316632744576137 y2[1] (numeric) = 0.5316632744572224 absolute error = 3.913536161803677e-13 relative error = 7.360930028120043e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5316632744576137 y1[1] (numeric) = 0.5316632744573586 absolute error = 2.55129251058861e-13 relative error = 4.798699916204215e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.629999999999711 y2[1] (analytic) = 0.5307799587115278 y2[1] (numeric) = 0.5307799587111364 absolute error = 3.914646384828302e-13 relative error = 7.375271655567279e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5307799587115278 y1[1] (numeric) = 0.5307799587112727 absolute error = 2.55129251058861e-13 relative error = 4.806685837916508e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.630999999999711 y2[1] (analytic) = 0.529897112185444 y2[1] (numeric) = 0.5298971121850525 absolute error = 3.914646384828302e-13 relative error = 7.387559386166881e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.529897112185444 y1[1] (numeric) = 0.529897112185189 absolute error = 2.550182287563985e-13 relative error = 4.812598953495555e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.631999999999711 y2[1] (analytic) = 0.5290147357622089 y2[1] (numeric) = 0.5290147357618173 absolute error = 3.915756607852927e-13 relative error = 7.401980215562563e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5290147357622089 y1[1] (numeric) = 0.5290147357619539 absolute error = 2.550182287563985e-13 relative error = 4.820626185184918e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.632999999999711 y2[1] (analytic) = 0.5281328303241988 y2[1] (numeric) = 0.5281328303238071 absolute error = 3.916866830877552e-13 relative error = 7.416442618182154e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5281328303241988 y1[1] (numeric) = 0.5281328303239438 absolute error = 2.550182287563985e-13 relative error = 4.828675933663381e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.633999999999711 y2[1] (analytic) = 0.527251396753319 y2[1] (numeric) = 0.5272513967529272 absolute error = 3.917977053902177e-13 relative error = 7.430946751451188e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.527251396753319 y1[1] (numeric) = 0.527251396753064 absolute error = 2.550182287563985e-13 relative error = 4.836748282256554e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.634999999999711 y2[1] (analytic) = 0.5263704359310031 y2[1] (numeric) = 0.5263704359306112 absolute error = 3.919087276926803e-13 relative error = 7.445492773535098e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5263704359310031 y1[1] (numeric) = 0.5263704359307481 absolute error = 2.550182287563985e-13 relative error = 4.844843314677087e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.635999999999711 y2[1] (analytic) = 0.5254899487382118 y2[1] (numeric) = 0.5254899487378197 absolute error = 3.920197499951428e-13 relative error = 7.460080843343379e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5254899487382118 y1[1] (numeric) = 0.5254899487379567 absolute error = 2.550182287563985e-13 relative error = 4.852961115026831e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.63699999999971 y2[1] (analytic) = 0.5246099360554322 y2[1] (numeric) = 0.52460993605504 absolute error = 3.921307722976053e-13 relative error = 7.474711120533778e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5246099360554322 y1[1] (numeric) = 0.5246099360551771 absolute error = 2.550182287563985e-13 relative error = 4.861101767799006e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.63799999999971 y2[1] (analytic) = 0.5237303987626768 y2[1] (numeric) = 0.5237303987622847 absolute error = 3.921307722976053e-13 relative error = 7.487263928617125e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5237303987626768 y1[1] (numeric) = 0.5237303987624219 absolute error = 2.549072064539359e-13 relative error = 4.867145520981008e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.63899999999971 y2[1] (analytic) = 0.5228513377394831 y2[1] (numeric) = 0.5228513377390909 absolute error = 3.922417946000678e-13 relative error = 7.501975538513529e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5228513377394831 y1[1] (numeric) = 0.5228513377392282 absolute error = 2.549072064539359e-13 relative error = 4.875328569608566e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.63999999999971 y2[1] (analytic) = 0.5219727538649118 y2[1] (numeric) = 0.5219727538645196 absolute error = 3.922417946000678e-13 relative error = 7.514602854186163e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5219727538649118 y1[1] (numeric) = 0.521972753864657 absolute error = 2.547961841514734e-13 relative error = 4.881407741397465e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.64099999999971 y2[1] (analytic) = 0.5210946480175469 y2[1] (numeric) = 0.5210946480171545 absolute error = 3.923528169025303e-13 relative error = 7.529396404188718e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5210946480175469 y1[1] (numeric) = 0.5210946480172921 absolute error = 2.547961841514734e-13 relative error = 4.889633488288938e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.64199999999971 y2[1] (analytic) = 0.5202170210754941 y2[1] (numeric) = 0.5202170210751016 absolute error = 3.924638392049928e-13 relative error = 7.544232950963716e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5202170210754941 y1[1] (numeric) = 0.5202170210752393 absolute error = 2.547961841514734e-13 relative error = 4.897882495745892e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.64299999999971 y2[1] (analytic) = 0.5193398739163801 y2[1] (numeric) = 0.5193398739159876 absolute error = 3.925748615074554e-13 relative error = 7.559112658672239e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5193398739163801 y1[1] (numeric) = 0.5193398739161253 absolute error = 2.547961841514734e-13 relative error = 4.906154850580539e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.64399999999971 y2[1] (analytic) = 0.5184632074173522 y2[1] (numeric) = 0.5184632074169596 absolute error = 3.925748615074554e-13 relative error = 7.571894319425461e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5184632074173522 y1[1] (numeric) = 0.5184632074170975 absolute error = 2.546851618490109e-13 relative error = 4.912309267183825e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.64499999999971 y2[1] (analytic) = 0.5175870224550768 y2[1] (numeric) = 0.5175870224546841 absolute error = 3.926858838099179e-13 relative error = 7.58685721962823e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5175870224550768 y1[1] (numeric) = 0.5175870224548221 absolute error = 2.546851618490109e-13 relative error = 4.920624953866882e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.645999999999709 y2[1] (analytic) = 0.5167113199057387 y2[1] (numeric) = 0.5167113199053459 absolute error = 3.927969061123804e-13 relative error = 7.601863767645665e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5167113199057387 y1[1] (numeric) = 0.5167113199054841 absolute error = 2.545741395465484e-13 relative error = 4.926815607465097e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.646999999999709 y2[1] (analytic) = 0.5158361006450404 y2[1] (numeric) = 0.5158361006446476 absolute error = 3.927969061123804e-13 relative error = 7.614761852092118e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5158361006450404 y1[1] (numeric) = 0.5158361006447859 absolute error = 2.544631172440859e-13 relative error = 4.93302265828014e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.647999999999709 y2[1] (analytic) = 0.5149613655482012 y2[1] (numeric) = 0.5149613655478082 absolute error = 3.929079284148429e-13 relative error = 7.629852542366426e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5149613655482012 y1[1] (numeric) = 0.5149613655479467 absolute error = 2.544631172440859e-13 relative error = 4.941402098644772e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.648999999999709 y2[1] (analytic) = 0.5140871154899559 y2[1] (numeric) = 0.5140871154895629 absolute error = 3.930189507173054e-13 relative error = 7.644987374226152e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5140871154899559 y1[1] (numeric) = 0.5140871154897015 absolute error = 2.543520949416234e-13 relative error = 4.947645783715286e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.649999999999709 y2[1] (analytic) = 0.5132133513445547 y2[1] (numeric) = 0.5132133513441616 absolute error = 3.931299730197679e-13 relative error = 7.660166517293765e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5132133513445547 y1[1] (numeric) = 0.5132133513443004 absolute error = 2.543520949416234e-13 relative error = 4.956069328189782e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.650999999999709 y2[1] (analytic) = 0.5123400739857615 y2[1] (numeric) = 0.5123400739853684 absolute error = 3.931299730197679e-13 relative error = 7.673223176969238e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5123400739857615 y1[1] (numeric) = 0.5123400739855073 absolute error = 2.542410726391608e-13 relative error = 4.962349922411622e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.651999999999709 y2[1] (analytic) = 0.5114672842868538 y2[1] (numeric) = 0.5114672842864606 absolute error = 3.932409953222304e-13 relative error = 7.688487756759106e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5114672842868538 y1[1] (numeric) = 0.5114672842865996 absolute error = 2.542410726391608e-13 relative error = 4.970817889039625e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.652999999999709 y2[1] (analytic) = 0.510594983120621 y2[1] (numeric) = 0.5105949831202278 absolute error = 3.932409953222304e-13 relative error = 7.701622779739156e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.510594983120621 y1[1] (numeric) = 0.5105949831203669 absolute error = 2.541300503366983e-13 relative error = 4.977135669910482e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.653999999999709 y2[1] (analytic) = 0.5097231713593644 y2[1] (numeric) = 0.5097231713589711 absolute error = 3.93352017624693e-13 relative error = 7.716973442185787e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5097231713593644 y1[1] (numeric) = 0.5097231713591103 absolute error = 2.541300503366983e-13 relative error = 4.98564837966787e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.654999999999708 y2[1] (analytic) = 0.5088518498748955 y2[1] (numeric) = 0.508851849874502 absolute error = 3.934630399271555e-13 relative error = 7.732369254899848e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5088518498748955 y1[1] (numeric) = 0.5088518498746415 absolute error = 2.540190280342358e-13 relative error = 4.992003627316831e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.655999999999708 y2[1] (analytic) = 0.5079810195385358 y2[1] (numeric) = 0.5079810195381423 absolute error = 3.934630399271555e-13 relative error = 7.745624832293701e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5079810195385358 y1[1] (numeric) = 0.5079810195382819 absolute error = 2.539080057317733e-13 relative error = 4.998375844090207e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.656999999999708 y2[1] (analytic) = 0.5071106812211157 y2[1] (numeric) = 0.507110681220722 absolute error = 3.936850845320805e-13 relative error = 7.763297029833648e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5071106812211157 y1[1] (numeric) = 0.5071106812208618 absolute error = 2.539080057317733e-13 relative error = 5.006954401361972e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.657999999999708 y2[1] (analytic) = 0.5062408357929731 y2[1] (numeric) = 0.5062408357925794 absolute error = 3.936850845320805e-13 relative error = 7.776636270667778e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5062408357929731 y1[1] (numeric) = 0.5062408357927193 absolute error = 2.537969834293108e-13 relative error = 5.013364499364507e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.658999999999708 y2[1] (analytic) = 0.5053714841239537 y2[1] (numeric) = 0.5053714841235598 absolute error = 3.939071291370055e-13 relative error = 7.794407510345221e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5053714841239537 y1[1] (numeric) = 0.5053714841236999 absolute error = 2.537969834293108e-13 relative error = 5.021988604467073e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.659999999999708 y2[1] (analytic) = 0.5045026270834089 y2[1] (numeric) = 0.504502627083015 absolute error = 3.939071291370055e-13 relative error = 7.807831079378726e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5045026270834089 y1[1] (numeric) = 0.5045026270831552 absolute error = 2.536859611268483e-13 relative error = 5.028436870456705e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.660999999999708 y2[1] (analytic) = 0.5036342655401957 y2[1] (numeric) = 0.5036342655398017 absolute error = 3.940181514394681e-13 relative error = 7.823497692652943e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5036342655401957 y1[1] (numeric) = 0.5036342655399421 absolute error = 2.536859611268483e-13 relative error = 5.037106854807544e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.661999999999708 y2[1] (analytic) = 0.5027664003626756 y2[1] (numeric) = 0.5027664003622816 absolute error = 3.940181514394681e-13 relative error = 7.837002455916685e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5027664003626756 y1[1] (numeric) = 0.502766400362422 absolute error = 2.535749388243858e-13 relative error = 5.043593578279434e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.662999999999708 y2[1] (analytic) = 0.5018990324187138 y2[1] (numeric) = 0.5018990324183197 absolute error = 3.941291737419306e-13 relative error = 7.852758190080047e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.5018990324187138 y1[1] (numeric) = 0.5018990324184602 absolute error = 2.535749388243858e-13 relative error = 5.052309776378261e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.663999999999707 y2[1] (analytic) = 0.501032162575678 y2[1] (numeric) = 0.5010321625752838 absolute error = 3.941291737419306e-13 relative error = 7.866344781457012e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.501032162575678 y1[1] (numeric) = 0.5010321625754245 absolute error = 2.534639165219232e-13 relative error = 5.058835249596157e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.664999999999707 y2[1] (analytic) = 0.500165791700438 y2[1] (numeric) = 0.5001657917000438 absolute error = 3.941291737419306e-13 relative error = 7.879970607385812e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.500165791700438 y1[1] (numeric) = 0.5001657917001846 absolute error = 2.533528942194607e-13 relative error = 5.065378289029415e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.665999999999707 y2[1] (analytic) = 0.4992999206593647 y2[1] (numeric) = 0.4992999206589704 absolute error = 3.942401960443931e-13 relative error = 7.895859376940577e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4992999206593647 y1[1] (numeric) = 0.4992999206591113 absolute error = 2.533528942194607e-13 relative error = 5.074162517087693e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.666999999999707 y2[1] (analytic) = 0.498434550318329 y2[1] (numeric) = 0.4984345503179347 absolute error = 3.943512183468556e-13 relative error = 7.911795402124515e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.498434550318329 y1[1] (numeric) = 0.4984345503180757 absolute error = 2.532973830682295e-13 relative error = 5.081858448746363e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.667999999999707 y2[1] (analytic) = 0.4975696815427012 y2[1] (numeric) = 0.4975696815423067 absolute error = 3.944622406493181e-13 relative error = 7.92777886760099e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4975696815427012 y1[1] (numeric) = 0.497569681542448 absolute error = 2.532418719169982e-13 relative error = 5.089576019419606e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.668999999999707 y2[1] (analytic) = 0.49670531519735 y2[1] (numeric) = 0.4967053151969554 absolute error = 3.945177518005494e-13 relative error = 7.942692371709379e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.49670531519735 y1[1] (numeric) = 0.4967053151970968 absolute error = 2.531308496145357e-13 relative error = 5.096197722667056e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.669999999999707 y2[1] (analytic) = 0.4958414521466416 y2[1] (numeric) = 0.495841452146247 absolute error = 3.946287741030119e-13 relative error = 7.958769328271151e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4958414521466416 y1[1] (numeric) = 0.4958414521463885 absolute error = 2.530753384633044e-13 relative error = 5.103956867011982e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.670999999999707 y2[1] (analytic) = 0.4949780932544391 y2[1] (numeric) = 0.4949780932540444 absolute error = 3.946842852542432e-13 relative error = 7.97377279182655e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4949780932544391 y1[1] (numeric) = 0.4949780932541861 absolute error = 2.530198273120732e-13 relative error = 5.111737888206107e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.671999999999707 y2[1] (analytic) = 0.4941152393841012 y2[1] (numeric) = 0.4941152393837065 absolute error = 3.947397964054744e-13 relative error = 7.988820520846612e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4941152393841012 y1[1] (numeric) = 0.4941152393838483 absolute error = 2.529643161608419e-13 relative error = 5.119540868161723e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.672999999999706 y2[1] (analytic) = 0.4932528913984818 y2[1] (numeric) = 0.493252891398087 absolute error = 3.947953075567057e-13 relative error = 8.003912687412191e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4932528913984818 y1[1] (numeric) = 0.4932528913982289 absolute error = 2.529088050096107e-13 relative error = 5.127365889180251e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.673999999999706 y2[1] (analytic) = 0.4923910501599288 y2[1] (numeric) = 0.4923910501595339 absolute error = 3.948508187079369e-13 relative error = 8.019049464438666e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4923910501599288 y1[1] (numeric) = 0.4923910501596759 absolute error = 2.528532938583794e-13 relative error = 5.135213033954467e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.674999999999706 y2[1] (analytic) = 0.4915297165302833 y2[1] (numeric) = 0.4915297165298884 absolute error = 3.949618410103994e-13 relative error = 8.035360380618324e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4915297165302833 y1[1] (numeric) = 0.4915297165300305 absolute error = 2.527977827071481e-13 relative error = 5.143082385570745e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.675999999999706 y2[1] (analytic) = 0.4906688913708789 y2[1] (numeric) = 0.4906688913704839 absolute error = 3.950173521616307e-13 relative error = 8.050588882005388e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4906688913708789 y1[1] (numeric) = 0.4906688913706262 absolute error = 2.527422715559169e-13 relative error = 5.150974027511317e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.676999999999706 y2[1] (analytic) = 0.4898085755425407 y2[1] (numeric) = 0.4898085755421456 absolute error = 3.95072863312862e-13 relative error = 8.065862523441042e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4898085755425407 y1[1] (numeric) = 0.489808575542288 absolute error = 2.526867604046856e-13 relative error = 5.158888043656544e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.677999999999706 y2[1] (analytic) = 0.4889487699055844 y2[1] (numeric) = 0.4889487699051893 absolute error = 3.951283744640932e-13 relative error = 8.081181481249909e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4889487699055844 y1[1] (numeric) = 0.4889487699053318 absolute error = 2.526312492534544e-13 relative error = 5.166824518287207e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.678999999999706 y2[1] (analytic) = 0.4880894753198157 y2[1] (numeric) = 0.4880894753194205 absolute error = 3.951838856153245e-13 relative error = 8.096545932615823e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4880894753198157 y1[1] (numeric) = 0.4880894753195631 absolute error = 2.525757381022231e-13 relative error = 5.174783536086809e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.679999999999706 y2[1] (analytic) = 0.487230692644529 y2[1] (numeric) = 0.4872306926441337 absolute error = 3.95294907917787e-13 relative error = 8.113095375257569e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.487230692644529 y1[1] (numeric) = 0.4872306926442764 absolute error = 2.525202269509919e-13 relative error = 5.182765182143896e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.680999999999706 y2[1] (analytic) = 0.4863724227385068 y2[1] (numeric) = 0.4863724227381115 absolute error = 3.953504190690182e-13 relative error = 8.128553359234645e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4863724227385068 y1[1] (numeric) = 0.4863724227382544 absolute error = 2.524647157997606e-13 relative error = 5.19076954195439e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.681999999999706 y2[1] (analytic) = 0.4855146664600192 y2[1] (numeric) = 0.4855146664596238 absolute error = 3.954059302202495e-13 relative error = 8.144057379424399e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4855146664600192 y1[1] (numeric) = 0.4855146664597668 absolute error = 2.524092046485293e-13 relative error = 5.198796701423943e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.682999999999705 y2[1] (analytic) = 0.4846574246668222 y2[1] (numeric) = 0.4846574246664267 absolute error = 3.95516952522712e-13 relative error = 8.160752985360952e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4846574246668222 y1[1] (numeric) = 0.4846574246665699 absolute error = 2.523536934972981e-13 relative error = 5.2068467468703e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.683999999999705 y2[1] (analytic) = 0.4838006982161576 y2[1] (numeric) = 0.483800698215762 absolute error = 3.95516952522712e-13 relative error = 8.175204252102976e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4838006982161576 y1[1] (numeric) = 0.4838006982159053 absolute error = 2.522426711948356e-13 relative error = 5.213772367937673e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.684999999999705 y2[1] (analytic) = 0.4829444879647518 y2[1] (numeric) = 0.4829444879643561 absolute error = 3.956279748251745e-13 relative error = 8.191996899942874e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4829444879647518 y1[1] (numeric) = 0.4829444879644996 absolute error = 2.521871600436043e-13 relative error = 5.221866411735721e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.685999999999705 y2[1] (analytic) = 0.4820887947688149 y2[1] (numeric) = 0.4820887947684191 absolute error = 3.95738997127637e-13 relative error = 8.208840392513442e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4820887947688149 y1[1] (numeric) = 0.4820887947685628 absolute error = 2.521316488923731e-13 relative error = 5.229983596969568e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.686999999999705 y2[1] (analytic) = 0.48123361948404 y2[1] (numeric) = 0.4812336194836442 absolute error = 3.957945082788683e-13 relative error = 8.224581414391284e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.48123361948404 y1[1] (numeric) = 0.481233619483788 absolute error = 2.520206265899105e-13 relative error = 5.236970493876077e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.687999999999705 y2[1] (analytic) = 0.4803789629656025 y2[1] (numeric) = 0.4803789629652067 absolute error = 3.958500194300996e-13 relative error = 8.240369582096882e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4803789629656025 y1[1] (numeric) = 0.4803789629653505 absolute error = 2.519651154386793e-13 relative error = 5.245132174048205e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.688999999999705 y2[1] (analytic) = 0.4795248260681587 y2[1] (numeric) = 0.4795248260677628 absolute error = 3.959055305813308e-13 relative error = 8.256205081758532e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4795248260681587 y1[1] (numeric) = 0.4795248260679068 absolute error = 2.51909604287448e-13 relative error = 5.253317254770081e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.689999999999705 y2[1] (analytic) = 0.4786712096458455 y2[1] (numeric) = 0.4786712096454495 absolute error = 3.959610417325621e-13 relative error = 8.272088100421201e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4786712096458455 y1[1] (numeric) = 0.4786712096455936 absolute error = 2.518540931362168e-13 relative error = 5.261525825264404e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.690999999999705 y2[1] (analytic) = 0.4778181145522792 y2[1] (numeric) = 0.4778181145518831 absolute error = 3.960720640350246e-13 relative error = 8.289180589273985e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4778181145522792 y1[1] (numeric) = 0.4778181145520273 absolute error = 2.518540931362168e-13 relative error = 5.270919738407298e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.691999999999704 y2[1] (analytic) = 0.4769655416405548 y2[1] (numeric) = 0.4769655416401586 absolute error = 3.961275751862559e-13 relative error = 8.305161287411846e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4769655416405548 y1[1] (numeric) = 0.476965541640303 absolute error = 2.517985819849855e-13 relative error = 5.279177634487127e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.692999999999704 y2[1] (analytic) = 0.4761134917632451 y2[1] (numeric) = 0.476113491762849 absolute error = 3.961830863374871e-13 relative error = 8.321190077396407e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4761134917632451 y1[1] (numeric) = 0.4761134917629934 absolute error = 2.517430708337542e-13 relative error = 5.287459296762324e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.693999999999704 y2[1] (analytic) = 0.4752619657724001 y2[1] (numeric) = 0.4752619657720039 absolute error = 3.962385974887184e-13 relative error = 8.337267150017943e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4752619657724001 y1[1] (numeric) = 0.4752619657721484 absolute error = 2.51687559682523e-13 relative error = 5.29576481622042e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.694999999999704 y2[1] (analytic) = 0.4744109645195456 y2[1] (numeric) = 0.4744109645191493 absolute error = 3.962941086399496e-13 relative error = 8.353392697010958e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4744109645195456 y1[1] (numeric) = 0.4744109645192939 absolute error = 2.516320485312917e-13 relative error = 5.30409428429061e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.695999999999704 y2[1] (analytic) = 0.4735604888556827 y2[1] (numeric) = 0.4735604888552863 absolute error = 3.963496197911809e-13 relative error = 8.369566911059766e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4735604888556827 y1[1] (numeric) = 0.4735604888554311 absolute error = 2.515765373800605e-13 relative error = 5.312447792846338e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.696999999999704 y2[1] (analytic) = 0.4727105396312871 y2[1] (numeric) = 0.4727105396308907 absolute error = 3.964051309424121e-13 relative error = 8.385789985804146e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4727105396312871 y1[1] (numeric) = 0.4727105396310356 absolute error = 2.515210262288292e-13 relative error = 5.320825434207896e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.697999999999704 y2[1] (analytic) = 0.471861117696308 y2[1] (numeric) = 0.4718611176959115 absolute error = 3.964606420936434e-13 relative error = 8.402062115845013e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.471861117696308 y1[1] (numeric) = 0.4718611176960565 absolute error = 2.51465515077598e-13 relative error = 5.329227301145045e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.698999999999704 y2[1] (analytic) = 0.4710122239001671 y2[1] (numeric) = 0.4710122238997705 absolute error = 3.965161532448747e-13 relative error = 8.418383496750136e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4710122239001671 y1[1] (numeric) = 0.4710122238999157 absolute error = 2.513544927751354e-13 relative error = 5.336474936761112e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.699999999999704 y2[1] (analytic) = 0.4701638590917582 y2[1] (numeric) = 0.4701638590913616 absolute error = 3.966271755473372e-13 relative error = 8.435935001757133e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4701638590917582 y1[1] (numeric) = 0.4701638590915069 absolute error = 2.512989816239042e-13 relative error = 5.344923408391118e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.700999999999703 y2[1] (analytic) = 0.4693160241194461 y2[1] (numeric) = 0.4693160241190494 absolute error = 3.966826866985684e-13 relative error = 8.452357607921956e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4693160241194461 y1[1] (numeric) = 0.4693160241191949 absolute error = 2.512434704726729e-13 relative error = 5.353396380276346e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.701999999999703 y2[1] (analytic) = 0.4684687198310657 y2[1] (numeric) = 0.468468719830669 absolute error = 3.967381978497997e-13 relative error = 8.468830063891294e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4684687198310657 y1[1] (numeric) = 0.4684687198308145 absolute error = 2.511879593214417e-13 relative error = 5.361893946985883e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.702999999999703 y2[1] (analytic) = 0.4676219470739211 y2[1] (numeric) = 0.4676219470735243 absolute error = 3.967937090010309e-13 relative error = 8.485352569183547e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4676219470739211 y1[1] (numeric) = 0.46762194707367 absolute error = 2.511324481702104e-13 relative error = 5.370416203551535e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.703999999999703 y2[1] (analytic) = 0.4667757066947851 y2[1] (numeric) = 0.4667757066943883 absolute error = 3.968492201522622e-13 relative error = 8.501925324313281e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4667757066947851 y1[1] (numeric) = 0.4667757066945341 absolute error = 2.510769370189792e-13 relative error = 5.378963245470551e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.704999999999703 y2[1] (analytic) = 0.465929999539898 y2[1] (numeric) = 0.4659299995395011 absolute error = 3.969047313034935e-13 relative error = 8.518548530797192e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.465929999539898 y1[1] (numeric) = 0.465929999539647 absolute error = 2.510214258677479e-13 relative error = 5.387535168708378e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.705999999999703 y2[1] (analytic) = 0.4650848264549668 y2[1] (numeric) = 0.4650848264545698 absolute error = 3.969602424547247e-13 relative error = 8.535222391160112e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4650848264549668 y1[1] (numeric) = 0.4650848264547159 absolute error = 2.509104035652854e-13 relative error = 5.394938499236988e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.706999999999703 y2[1] (analytic) = 0.4642401882851646 y2[1] (numeric) = 0.4642401882847675 absolute error = 3.970712647571872e-13 relative error = 8.553142850986478e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4642401882851646 y1[1] (numeric) = 0.4642401882849138 absolute error = 2.508548924140541e-13 relative error = 5.403558303314399e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.707999999999703 y2[1] (analytic) = 0.4633960858751295 y2[1] (numeric) = 0.4633960858747324 absolute error = 3.971267759084185e-13 relative error = 8.569920808857059e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4633960858751295 y1[1] (numeric) = 0.4633960858748787 absolute error = 2.507993812628229e-13 relative error = 5.412203272912523e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.708999999999703 y2[1] (analytic) = 0.4625525200689637 y2[1] (numeric) = 0.4625525200685666 absolute error = 3.971822870596498e-13 relative error = 8.586750040847952e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4625525200689637 y1[1] (numeric) = 0.462552520068713 absolute error = 2.507438701115916e-13 relative error = 5.420873505871446e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.709999999999702 y2[1] (analytic) = 0.4617094917102331 y2[1] (numeric) = 0.4617094917098359 absolute error = 3.97237798210881e-13 relative error = 8.603630753603518e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4617094917102331 y1[1] (numeric) = 0.4617094917099825 absolute error = 2.506328478091291e-13 relative error = 5.428366804432627e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.710999999999702 y2[1] (analytic) = 0.460867001641966 y2[1] (numeric) = 0.4608670016415687 absolute error = 3.972933093621123e-13 relative error = 8.620563154807029e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.460867001641966 y1[1] (numeric) = 0.4608670016417154 absolute error = 2.505773366578978e-13 relative error = 5.437085661701681e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.711999999999702 y2[1] (analytic) = 0.4600250507066522 y2[1] (numeric) = 0.4600250507062549 absolute error = 3.973488205133435e-13 relative error = 8.637547453186937e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4600250507066522 y1[1] (numeric) = 0.4600250507064018 absolute error = 2.504663143554353e-13 relative error = 5.444623373676929e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.712999999999702 y2[1] (analytic) = 0.4591836397462428 y2[1] (numeric) = 0.4591836397458454 absolute error = 3.97459842815806e-13 relative error = 8.655792768127649e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4591836397462428 y1[1] (numeric) = 0.4591836397459924 absolute error = 2.504108032042041e-13 relative error = 5.453391225841316e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.713999999999702 y2[1] (analytic) = 0.4583427696021485 y2[1] (numeric) = 0.4583427696017511 absolute error = 3.97459842815806e-13 relative error = 8.671672581653461e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4583427696021485 y1[1] (numeric) = 0.4583427696018982 absolute error = 2.502997809017415e-13 relative error = 5.460973697021711e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.714999999999702 y2[1] (analytic) = 0.4575024411152396 y2[1] (numeric) = 0.457502441114842 absolute error = 3.975708651182686e-13 relative error = 8.690027186502488e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4575024411152396 y1[1] (numeric) = 0.4575024411149893 absolute error = 2.502442697505103e-13 relative error = 5.469790918284448e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.715999999999702 y2[1] (analytic) = 0.4566626551258443 y2[1] (numeric) = 0.4566626551254466 absolute error = 3.976263762694998e-13 relative error = 8.707223413307673e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4566626551258443 y1[1] (numeric) = 0.4566626551255941 absolute error = 2.501332474480478e-13 relative error = 5.477418497886971e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.716999999999702 y2[1] (analytic) = 0.4558234124737485 y2[1] (numeric) = 0.4558234124733508 absolute error = 3.976818874207311e-13 relative error = 8.72447260360138e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4558234124737485 y1[1] (numeric) = 0.4558234124734985 absolute error = 2.500222251455853e-13 relative error = 5.485067644698578e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.717999999999702 y2[1] (analytic) = 0.454984713998195 y2[1] (numeric) = 0.4549847139977972 absolute error = 3.977929097231936e-13 relative error = 8.742995038834902e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.454984713998195 y1[1] (numeric) = 0.454984713997945 absolute error = 2.49966713994354e-13 relative error = 5.493958506820202e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.718999999999701 y2[1] (analytic) = 0.454146560537882 y2[1] (numeric) = 0.4541465605374842 absolute error = 3.978484208744248e-13 relative error = 8.760353054380093e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.454146560537882 y1[1] (numeric) = 0.4541465605376321 absolute error = 2.499112028431227e-13 relative error = 5.502875603574602e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.719999999999701 y2[1] (analytic) = 0.4533089529309631 y2[1] (numeric) = 0.4533089529305652 absolute error = 3.979039320256561e-13 relative error = 8.777764689025568e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4533089529309631 y1[1] (numeric) = 0.4533089529307132 absolute error = 2.498556916918915e-13 relative error = 5.51181903812836e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.720999999999701 y2[1] (analytic) = 0.4524718920150456 y2[1] (numeric) = 0.4524718920146477 absolute error = 3.979594431768874e-13 relative error = 8.795230161250644e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4524718920150456 y1[1] (numeric) = 0.4524718920147958 absolute error = 2.498001805406602e-13 relative error = 5.520788914162073e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.721999999999701 y2[1] (analytic) = 0.4516353786271905 y2[1] (numeric) = 0.4516353786267925 absolute error = 3.980149543281186e-13 relative error = 8.812749690645168e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4516353786271905 y1[1] (numeric) = 0.4516353786269408 absolute error = 2.49744669389429e-13 relative error = 5.529785335873446e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.722999999999701 y2[1] (analytic) = 0.4507994136039111 y2[1] (numeric) = 0.450799413603513 absolute error = 3.980704654793499e-13 relative error = 8.830323497916286e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4507994136039111 y1[1] (numeric) = 0.4507994136036614 absolute error = 2.496891582381977e-13 relative error = 5.538808407980401e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.723999999999701 y2[1] (analytic) = 0.4499639977811722 y2[1] (numeric) = 0.4499639977807741 absolute error = 3.981259766305811e-13 relative error = 8.847951804895263e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4499639977811722 y1[1] (numeric) = 0.4499639977809227 absolute error = 2.495781359357352e-13 relative error = 5.546624555885263e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.724999999999701 y2[1] (analytic) = 0.4491291319943898 y2[1] (numeric) = 0.4491291319939916 absolute error = 3.981814877818124e-13 relative error = 8.865634834544337e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4491291319943898 y1[1] (numeric) = 0.4491291319941403 absolute error = 2.494671136332727e-13 relative error = 5.554462978731668e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.725999999999701 y2[1] (analytic) = 0.4482948170784295 y2[1] (numeric) = 0.4482948170780313 absolute error = 3.982369989330437e-13 relative error = 8.883372810963634e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4482948170784295 y1[1] (numeric) = 0.4482948170781801 absolute error = 2.494116024820414e-13 relative error = 5.563562035079399e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.726999999999701 y2[1] (analytic) = 0.4474610538676061 y2[1] (numeric) = 0.4474610538672078 absolute error = 3.982925100842749e-13 relative error = 8.901165959398132e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4474610538676061 y1[1] (numeric) = 0.4474610538673568 absolute error = 2.493005801795789e-13 relative error = 5.571447571241395e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.7279999999997 y2[1] (analytic) = 0.4466278431956828 y2[1] (numeric) = 0.4466278431952845 absolute error = 3.983480212355062e-13 relative error = 8.919014506244662e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4466278431956828 y1[1] (numeric) = 0.4466278431954336 absolute error = 2.492450690283476e-13 relative error = 5.58059854139333e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.7289999999997 y2[1] (analytic) = 0.4457951858958702 y2[1] (numeric) = 0.4457951858954718 absolute error = 3.984035323867374e-13 relative error = 8.936918679058982e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4457951858958702 y1[1] (numeric) = 0.4457951858956211 absolute error = 2.491895578771164e-13 relative error = 5.589776780032851e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.7299999999997 y2[1] (analytic) = 0.4449630828008255 y2[1] (numeric) = 0.4449630828004271 absolute error = 3.984035323867374e-13 relative error = 8.953631161465835e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4449630828008255 y1[1] (numeric) = 0.4449630828005764 absolute error = 2.490785355746539e-13 relative error = 5.597734850424579e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.7309999999997 y2[1] (analytic) = 0.4441315347426518 y2[1] (numeric) = 0.4441315347422533 absolute error = 3.985145546891999e-13 relative error = 8.97289481865132e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4441315347426518 y1[1] (numeric) = 0.4441315347424028 absolute error = 2.490230244234226e-13 relative error = 5.606965615889375e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.7319999999997 y2[1] (analytic) = 0.443300542552897 y2[1] (numeric) = 0.4433005425524985 absolute error = 3.985700658404312e-13 relative error = 8.990967246399697e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.443300542552897 y1[1] (numeric) = 0.4433005425526481 absolute error = 2.489675132721914e-13 relative error = 5.616223969373627e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.7329999999997 y2[1] (analytic) = 0.4424701070625532 y2[1] (numeric) = 0.4424701070621547 absolute error = 3.985700658404312e-13 relative error = 9.007841648025371e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4424701070625532 y1[1] (numeric) = 0.4424701070623044 absolute error = 2.488564909697288e-13 relative error = 5.62425544681027e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.7339999999997 y2[1] (analytic) = 0.441640229102056 y2[1] (numeric) = 0.4416402291016573 absolute error = 3.986255769916625e-13 relative error = 9.026025047630941e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.441640229102056 y1[1] (numeric) = 0.4416402291018072 absolute error = 2.488009798184976e-13 relative error = 5.633566949377786e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.7349999999997 y2[1] (analytic) = 0.4408109095012831 y2[1] (numeric) = 0.4408109095008844 absolute error = 3.98736599294125e-13 relative error = 9.04552475221724e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4408109095012831 y1[1] (numeric) = 0.4408109095010344 absolute error = 2.487454686672663e-13 relative error = 5.642906364288661e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.7359999999997 y2[1] (analytic) = 0.4399821490895541 y2[1] (numeric) = 0.4399821490891553 absolute error = 3.987921104453562e-13 relative error = 9.063824777222633e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4399821490895541 y1[1] (numeric) = 0.4399821490893054 absolute error = 2.486344463648038e-13 relative error = 5.651012134908153e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.736999999999699 y2[1] (analytic) = 0.4391539486956293 y2[1] (numeric) = 0.4391539486952304 absolute error = 3.989031327478187e-13 relative error = 9.083446338866741e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4391539486956293 y1[1] (numeric) = 0.4391539486953808 absolute error = 2.485789352135725e-13 relative error = 5.660405330565721e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.737999999999699 y2[1] (analytic) = 0.4383263091477091 y2[1] (numeric) = 0.4383263091473102 absolute error = 3.9895864389905e-13 relative error = 9.101863966933528e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4383263091477091 y1[1] (numeric) = 0.4383263091474607 absolute error = 2.4846791291111e-13 relative error = 5.668560333378944e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.738999999999699 y2[1] (analytic) = 0.437499231273433 y2[1] (numeric) = 0.437499231273034 absolute error = 3.990141550502813e-13 relative error = 9.120339569257462e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.437499231273433 y1[1] (numeric) = 0.4374992312731846 absolute error = 2.483568906086475e-13 relative error = 5.67673890273482e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.739999999999699 y2[1] (analytic) = 0.4366727158998787 y2[1] (numeric) = 0.4366727158994796 absolute error = 3.990696662015125e-13 relative error = 9.138873386653543e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4366727158998787 y1[1] (numeric) = 0.4366727158996304 absolute error = 2.483013794574163e-13 relative error = 5.68621236034237e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.740999999999699 y2[1] (analytic) = 0.4358467638535616 y2[1] (numeric) = 0.4358467638531625 absolute error = 3.991251773527438e-13 relative error = 9.157465661184633e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4358467638535616 y1[1] (numeric) = 0.4358467638533133 absolute error = 2.48245868306185e-13 relative error = 5.695714386205518e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.741999999999699 y2[1] (analytic) = 0.4350213759604336 y2[1] (numeric) = 0.4350213759600344 absolute error = 3.99180688503975e-13 relative error = 9.1761166361692e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4350213759604336 y1[1] (numeric) = 0.4350213759601854 absolute error = 2.481348460037225e-13 relative error = 5.703969039587863e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.742999999999699 y2[1] (analytic) = 0.4341965530458825 y2[1] (numeric) = 0.4341965530454833 absolute error = 3.992361996552063e-13 relative error = 9.194826556189131e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4341965530458825 y1[1] (numeric) = 0.4341965530456345 absolute error = 2.4802382370126e-13 relative error = 5.712247643639187e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.743999999999699 y2[1] (analytic) = 0.4333722959347313 y2[1] (numeric) = 0.433372295934332 absolute error = 3.992917108064375e-13 relative error = 9.213595667097593e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4333722959347313 y1[1] (numeric) = 0.4333722959344833 absolute error = 2.479128013987975e-13 relative error = 5.72055029184733e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.744999999999699 y2[1] (analytic) = 0.4325486054512369 y2[1] (numeric) = 0.4325486054508375 absolute error = 3.993472219576688e-13 relative error = 9.232424216026954e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4325486054512369 y1[1] (numeric) = 0.4325486054509891 absolute error = 2.478017790963349e-13 relative error = 5.728877078168519e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.745999999999698 y2[1] (analytic) = 0.4317254824190898 y2[1] (numeric) = 0.4317254824186903 absolute error = 3.994582442601313e-13 relative error = 9.25259824881878e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4317254824190898 y1[1] (numeric) = 0.431725482418842 absolute error = 2.477462679451037e-13 relative error = 5.738513894452226e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.746999999999698 y2[1] (analytic) = 0.4309029276614128 y2[1] (numeric) = 0.4309029276610133 absolute error = 3.994582442601313e-13 relative error = 9.270260622921793e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4309029276614128 y1[1] (numeric) = 0.4309029276611652 absolute error = 2.476352456426412e-13 relative error = 5.746891695227088e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.747999999999698 y2[1] (analytic) = 0.4300809420007608 y2[1] (numeric) = 0.4300809420003613 absolute error = 3.995137554113626e-13 relative error = 9.289268981620112e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4300809420007608 y1[1] (numeric) = 0.4300809420005133 absolute error = 2.475242233401787e-13 relative error = 5.755293926503277e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.748999999999698 y2[1] (analytic) = 0.4292595262591193 y2[1] (numeric) = 0.4292595262587198 absolute error = 3.995692665625938e-13 relative error = 9.308337779821264e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4292595262591193 y1[1] (numeric) = 0.4292595262588719 absolute error = 2.474687121889474e-13 relative error = 5.765013868080466e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.749999999999698 y2[1] (analytic) = 0.428438681257904 y2[1] (numeric) = 0.4284386812575044 absolute error = 3.996247777138251e-13 relative error = 9.327467271174472e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.428438681257904 y1[1] (numeric) = 0.4284386812576567 absolute error = 2.473576898864849e-13 relative error = 5.773467726122162e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.750999999999698 y2[1] (analytic) = 0.4276184078179598 y2[1] (numeric) = 0.4276184078175602 absolute error = 3.996802888650564e-13 relative error = 9.346657710656906e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4276184078179598 y1[1] (numeric) = 0.4276184078177125 absolute error = 2.473021787352536e-13 relative error = 5.78324445846896e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.751999999999698 y2[1] (analytic) = 0.4267987067595601 y2[1] (numeric) = 0.4267987067591604 absolute error = 3.997358000162876e-13 relative error = 9.365909354582029e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4267987067595601 y1[1] (numeric) = 0.4267987067593129 absolute error = 2.471911564327911e-13 relative error = 5.791750361887762e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.752999999999698 y2[1] (analytic) = 0.4259795789024058 y2[1] (numeric) = 0.4259795789020061 absolute error = 3.997358000162876e-13 relative error = 9.383919319472101e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4259795789024058 y1[1] (numeric) = 0.4259795789021588 absolute error = 2.470801341303286e-13 relative error = 5.800281195802017e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.753999999999698 y2[1] (analytic) = 0.4251610250656249 y2[1] (numeric) = 0.4251610250652251 absolute error = 3.997913111675189e-13 relative error = 9.403291637699149e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4251610250656249 y1[1] (numeric) = 0.4251610250653778 absolute error = 2.470246229790973e-13 relative error = 5.810142708658874e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.754999999999697 y2[1] (analytic) = 0.4243430460677709 y2[1] (numeric) = 0.4243430460673711 absolute error = 3.998468223187501e-13 relative error = 9.422725929504015e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4243430460677709 y1[1] (numeric) = 0.424343046067524 absolute error = 2.469136006766348e-13 relative error = 5.818726216081335e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.755999999999697 y2[1] (analytic) = 0.4235256427268229 y2[1] (numeric) = 0.423525642726423 absolute error = 3.999023334699814e-13 relative error = 9.442222456596831e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4235256427268229 y1[1] (numeric) = 0.4235256427265761 absolute error = 2.468580895254036e-13 relative error = 5.828645650261814e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.756999999999697 y2[1] (analytic) = 0.4227088158601842 y2[1] (numeric) = 0.4227088158597842 absolute error = 3.999578446212126e-13 relative error = 9.461781482066448e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4227088158601842 y1[1] (numeric) = 0.4227088158599374 absolute error = 2.46747067222941e-13 relative error = 5.837282260622534e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.757999999999697 y2[1] (analytic) = 0.4218925662846815 y2[1] (numeric) = 0.4218925662842815 absolute error = 4.000133557724439e-13 relative error = 9.481403270389124e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4218925662846815 y1[1] (numeric) = 0.4218925662844348 absolute error = 2.466915560717098e-13 relative error = 5.847260079601619e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.758999999999697 y2[1] (analytic) = 0.4210768948165643 y2[1] (numeric) = 0.4210768948161642 absolute error = 4.000688669236752e-13 relative error = 9.501088087437308e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4210768948165643 y1[1] (numeric) = 0.4210768948163177 absolute error = 2.466360449204785e-13 relative error = 5.857268540652694e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.759999999999697 y2[1] (analytic) = 0.420261802271504 y2[1] (numeric) = 0.4202618022711039 absolute error = 4.000688669236752e-13 relative error = 9.519515329761435e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.420261802271504 y1[1] (numeric) = 0.4202618022712575 absolute error = 2.46525022618016e-13 relative error = 5.865986898774876e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.760999999999697 y2[1] (analytic) = 0.4194472894645932 y2[1] (numeric) = 0.4194472894641931 absolute error = 4.001243780749064e-13 relative error = 9.53932444254553e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4194472894645932 y1[1] (numeric) = 0.4194472894643467 absolute error = 2.464695114667848e-13 relative error = 5.876054456839922e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.761999999999697 y2[1] (analytic) = 0.4186333572103445 y2[1] (numeric) = 0.4186333572099444 absolute error = 4.001243780749064e-13 relative error = 9.557871373204067e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4186333572103445 y1[1] (numeric) = 0.4186333572100981 absolute error = 2.463584891643222e-13 relative error = 5.884827019184192e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.762999999999697 y2[1] (analytic) = 0.4178200063226902 y2[1] (numeric) = 0.41782000632229 absolute error = 4.001798892261377e-13 relative error = 9.577805829553104e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4178200063226902 y1[1] (numeric) = 0.4178200063224439 absolute error = 2.462474668618597e-13 relative error = 5.893625559702812e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.763999999999696 y2[1] (analytic) = 0.417007237614981 y2[1] (numeric) = 0.4170072376145808 absolute error = 4.002354003773689e-13 relative error = 9.597804648822488e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.417007237614981 y1[1] (numeric) = 0.4170072376147348 absolute error = 2.461919557106285e-13 relative error = 5.903781361654333e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.764999999999696 y2[1] (analytic) = 0.4161950518999857 y2[1] (numeric) = 0.4161950518995854 absolute error = 4.002909115286002e-13 relative error = 9.617868105380375e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4161950518999857 y1[1] (numeric) = 0.4161950518997396 absolute error = 2.460809334081659e-13 relative error = 5.912634767875635e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.765999999999696 y2[1] (analytic) = 0.4153834499898897 y2[1] (numeric) = 0.4153834499894895 absolute error = 4.002909115286002e-13 relative error = 9.636660091737962e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4153834499898897 y1[1] (numeric) = 0.4153834499896438 absolute error = 2.459699111057034e-13 relative error = 5.921514473234074e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.766999999999696 y2[1] (analytic) = 0.4145724326962951 y2[1] (numeric) = 0.4145724326958948 absolute error = 4.003464226798314e-13 relative error = 9.656851037490829e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4145724326962951 y1[1] (numeric) = 0.4145724326960493 absolute error = 2.458588888032409e-13 relative error = 5.930420583062518e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.767999999999696 y2[1] (analytic) = 0.413762000830219 y2[1] (numeric) = 0.4137620008298186 absolute error = 4.004019338310627e-13 relative error = 9.677107444077775e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.413762000830219 y1[1] (numeric) = 0.4137620008299733 absolute error = 2.457478665007784e-13 relative error = 5.939353203234758e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.768999999999696 y2[1] (analytic) = 0.4129521552020932 y2[1] (numeric) = 0.4129521552016928 absolute error = 4.00457444982294e-13 relative error = 9.6974295917239e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4129521552020932 y1[1] (numeric) = 0.4129521552018476 absolute error = 2.456368441983159e-13 relative error = 5.948312440168875e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.769999999999696 y2[1] (analytic) = 0.4121428966217633 y2[1] (numeric) = 0.4121428966213628 absolute error = 4.00457444982294e-13 relative error = 9.716470871262074e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4121428966217633 y1[1] (numeric) = 0.4121428966215178 absolute error = 2.455258218958534e-13 relative error = 5.957298400830629e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.770999999999696 y2[1] (analytic) = 0.4113342258984878 y2[1] (numeric) = 0.4113342258980873 absolute error = 4.005129561335252e-13 relative error = 9.736922699750418e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4113342258984878 y1[1] (numeric) = 0.4113342258982423 absolute error = 2.454703107446221e-13 relative error = 5.967660731572606e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.771999999999696 y2[1] (analytic) = 0.4105261438409373 y2[1] (numeric) = 0.4105261438405368 absolute error = 4.005684672847565e-13 relative error = 9.757441110497483e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4105261438409373 y1[1] (numeric) = 0.4105261438406919 absolute error = 2.454147995933909e-13 relative error = 5.978055314510722e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.772999999999695 y2[1] (analytic) = 0.4097186512571939 y2[1] (numeric) = 0.4097186512567933 absolute error = 4.005684672847565e-13 relative error = 9.77667152949077e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4097186512571939 y1[1] (numeric) = 0.4097186512569486 absolute error = 2.453037772909283e-13 relative error = 5.987127423616922e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.773999999999695 y2[1] (analytic) = 0.40891174895475 y2[1] (numeric) = 0.4089117489543493 absolute error = 4.006239784359877e-13 relative error = 9.797321291453541e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.40891174895475 y1[1] (numeric) = 0.4089117489545048 absolute error = 2.451927549884658e-13 relative error = 5.99622670699048e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.774999999999695 y2[1] (analytic) = 0.4081054377405079 y2[1] (numeric) = 0.4081054377401072 absolute error = 4.00679489587219e-13 relative error = 9.818038490386137e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4081054377405079 y1[1] (numeric) = 0.4081054377402628 absolute error = 2.451372438372346e-13 relative error = 6.006713490377554e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.775999999999695 y2[1] (analytic) = 0.4072997184207787 y2[1] (numeric) = 0.407299718420378 absolute error = 4.007350007384503e-13 relative error = 9.838823417119418e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4072997184207787 y1[1] (numeric) = 0.4072997184205337 absolute error = 2.45026221534772e-13 relative error = 6.015870143117483e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.776999999999695 y2[1] (analytic) = 0.4064945918012817 y2[1] (numeric) = 0.406494591800881 absolute error = 4.007350007384503e-13 relative error = 9.858310757904324e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4064945918012817 y1[1] (numeric) = 0.4064945918010368 absolute error = 2.449151992323095e-13 relative error = 6.025054309997767e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.777999999999695 y2[1] (analytic) = 0.4056900586871435 y2[1] (numeric) = 0.4056900586867427 absolute error = 4.008460230409128e-13 relative error = 9.880597625145004e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4056900586871435 y1[1] (numeric) = 0.4056900586868987 absolute error = 2.448596880810783e-13 relative error = 6.035634416911039e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.778999999999695 y2[1] (analytic) = 0.4048861198828971 y2[1] (numeric) = 0.4048861198824962 absolute error = 4.00901534192144e-13 relative error = 9.901587495962927e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4048861198828971 y1[1] (numeric) = 0.4048861198826523 absolute error = 2.447486657786158e-13 relative error = 6.04487666431744e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.779999999999695 y2[1] (analytic) = 0.4040827761924811 y2[1] (numeric) = 0.4040827761920802 absolute error = 4.00901534192144e-13 relative error = 9.92127251672757e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4040827761924811 y1[1] (numeric) = 0.4040827761922365 absolute error = 2.446376434761532e-13 relative error = 6.054146771146275e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.780999999999695 y2[1] (analytic) = 0.4032800284192393 y2[1] (numeric) = 0.4032800284188384 absolute error = 4.00901534192144e-13 relative error = 9.941021274065606e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4032800284192393 y1[1] (numeric) = 0.4032800284189948 absolute error = 2.445266211736907e-13 relative error = 6.063444850769731e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.781999999999694 y2[1] (analytic) = 0.4024778773659194 y2[1] (numeric) = 0.4024778773655184 absolute error = 4.010125564946065e-13 relative error = 9.963592511446768e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4024778773659194 y1[1] (numeric) = 0.402477877365675 absolute error = 2.444711100224595e-13 relative error = 6.074150251994957e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.782999999999694 y2[1] (analytic) = 0.4016763238346723 y2[1] (numeric) = 0.4016763238342713 absolute error = 4.010125564946065e-13 relative error = 9.9834750693362e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.4016763238346723 y1[1] (numeric) = 0.401676323834428 absolute error = 2.44360087719997e-13 relative error = 6.083507371984767e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.783999999999694 y2[1] (analytic) = 0.4008753686270515 y2[1] (numeric) = 0.4008753686266505 absolute error = 4.010125564946065e-13 relative error = 1.000342220745627e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.4008753686270515 y1[1] (numeric) = 0.4008753686268073 absolute error = 2.442490654175344e-13 relative error = 6.09289281738754e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.784999999999694 y2[1] (analytic) = 0.4000750125440122 y2[1] (numeric) = 0.4000750125436112 absolute error = 4.010680676458378e-13 relative error = 1.002482172269422e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.4000750125440122 y1[1] (numeric) = 0.400075012543768 absolute error = 2.441935542663032e-13 relative error = 6.103694222578808e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.785999999999694 y2[1] (analytic) = 0.3992752563859103 y2[1] (numeric) = 0.3992752563855093 absolute error = 4.010680676458378e-13 relative error = 1.004490163693476e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3992752563859103 y1[1] (numeric) = 0.3992752563856662 absolute error = 2.440825319638407e-13 relative error = 6.113139446034901e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.786999999999694 y2[1] (analytic) = 0.398476100952502 y2[1] (numeric) = 0.3984761009521009 absolute error = 4.011235787970691e-13 relative error = 1.00664400659974e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.398476100952502 y1[1] (numeric) = 0.398476100952258 absolute error = 2.439715096613781e-13 relative error = 6.122613353177216e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.787999999999694 y2[1] (analytic) = 0.3976775470429426 y2[1] (numeric) = 0.3976775470425414 absolute error = 4.011790899483003e-13 relative error = 1.008804980143824e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3976775470429426 y1[1] (numeric) = 0.3976775470426988 absolute error = 2.438604873589156e-13 relative error = 6.132116061674025e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.788999999999694 y2[1] (analytic) = 0.396879595455786 y2[1] (numeric) = 0.3968795954553848 absolute error = 4.012346010995316e-13 relative error = 1.010973115508103e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.396879595455786 y1[1] (numeric) = 0.3968795954555422 absolute error = 2.437494650564531e-13 relative error = 6.141647689811955e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.789999999999694 y2[1] (analytic) = 0.3960822469889836 y2[1] (numeric) = 0.3960822469885824 absolute error = 4.012901122507628e-13 relative error = 1.013148444045067e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3960822469889836 y1[1] (numeric) = 0.39608224698874 absolute error = 2.436384427539906e-13 relative error = 6.151208356499932e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.790999999999694 y2[1] (analytic) = 0.395285502439884 y2[1] (numeric) = 0.3952855024394826 absolute error = 4.013456234019941e-13 relative error = 1.015330997278434e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.395285502439884 y1[1] (numeric) = 0.3952855024396404 absolute error = 2.435274204515281e-13 relative error = 6.160798181273151e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.791999999999693 y2[1] (analytic) = 0.3944893626052315 y2[1] (numeric) = 0.3944893626048301 absolute error = 4.014011345532253e-13 relative error = 1.017520806904268e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3944893626052315 y1[1] (numeric) = 0.3944893626049881 absolute error = 2.434163981490656e-13 relative error = 6.170417284297072e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.792999999999693 y2[1] (analytic) = 0.3936938282811659 y2[1] (numeric) = 0.3936938282807645 absolute error = 4.014011345532253e-13 relative error = 1.019576903975632e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3936938282811659 y1[1] (numeric) = 0.3936938282809226 absolute error = 2.433053758466031e-13 relative error = 6.180065786371451e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.793999999999693 y2[1] (analytic) = 0.3928989002632216 y2[1] (numeric) = 0.3928989002628201 absolute error = 4.014566457044566e-13 relative error = 1.021781036891429e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3928989002632216 y1[1] (numeric) = 0.3928989002629783 absolute error = 2.432498646953718e-13 relative error = 6.191156669881417e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.794999999999693 y2[1] (analytic) = 0.3921045793463263 y2[1] (numeric) = 0.3921045793459249 absolute error = 4.014566457044566e-13 relative error = 1.023850949085372e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3921045793463263 y1[1] (numeric) = 0.3921045793460832 absolute error = 2.431388423929093e-13 relative error = 6.200867197170807e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.795999999999693 y2[1] (analytic) = 0.3913108663248011 y2[1] (numeric) = 0.3913108663243996 absolute error = 4.015121568556879e-13 relative error = 1.026069530413754e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3913108663248011 y1[1] (numeric) = 0.391310866324558 absolute error = 2.43083331241678e-13 relative error = 6.21202609385017e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.796999999999693 y2[1] (analytic) = 0.3905177619923588 y2[1] (numeric) = 0.3905177619919573 absolute error = 4.015676680069191e-13 relative error = 1.028295527348578e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3905177619923588 y1[1] (numeric) = 0.3905177619921159 absolute error = 2.429723089392155e-13 relative error = 6.221799175013445e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.797999999999693 y2[1] (analytic) = 0.3897252671421038 y2[1] (numeric) = 0.3897252671417021 absolute error = 4.016231791581504e-13 relative error = 1.030528972635763e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3897252671421038 y1[1] (numeric) = 0.3897252671418609 absolute error = 2.42861286636753e-13 relative error = 6.23160228788039e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.798999999999693 y2[1] (analytic) = 0.3889333825665307 y2[1] (numeric) = 0.388933382566129 absolute error = 4.016786903093816e-13 relative error = 1.032769899201622e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3889333825665307 y1[1] (numeric) = 0.388933382566288 absolute error = 2.427502643342905e-13 relative error = 6.241435557225941e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.799999999999693 y2[1] (analytic) = 0.3881421090575241 y2[1] (numeric) = 0.3881421090571224 absolute error = 4.016786903093816e-13 relative error = 1.034875322558345e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3881421090575241 y1[1] (numeric) = 0.3881421090572815 absolute error = 2.425837308805967e-13 relative error = 6.249868932531742e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.800999999999692 y2[1] (analytic) = 0.3873514474063575 y2[1] (numeric) = 0.3873514474059558 absolute error = 4.017342014606129e-13 relative error = 1.037131019260571e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3873514474063575 y1[1] (numeric) = 0.387351447406115 absolute error = 2.424727085781342e-13 relative error = 6.259759972544111e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.801999999999692 y2[1] (analytic) = 0.3865613984036925 y2[1] (numeric) = 0.3865613984032907 absolute error = 4.017897126118442e-13 relative error = 1.039394296148134e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3865613984036925 y1[1] (numeric) = 0.3865613984034501 absolute error = 2.423616862756717e-13 relative error = 6.26968153769377e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.802999999999692 y2[1] (analytic) = 0.3857719628395779 y2[1] (numeric) = 0.3857719628391761 absolute error = 4.018452237630754e-13 relative error = 1.041665186876687e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3857719628395779 y1[1] (numeric) = 0.3857719628393356 absolute error = 2.423061751244404e-13 relative error = 6.281072718216245e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.803999999999692 y2[1] (analytic) = 0.3849831415034493 y2[1] (numeric) = 0.3849831415030475 absolute error = 4.018452237630754e-13 relative error = 1.043799534166031e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3849831415034493 y1[1] (numeric) = 0.3849831415032071 absolute error = 2.421951528219779e-13 relative error = 6.291058664962551e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.804999999999692 y2[1] (analytic) = 0.384194935184128 y2[1] (numeric) = 0.384194935183726 absolute error = 4.019007349143067e-13 relative error = 1.046085458470953e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.384194935184128 y1[1] (numeric) = 0.3841949351838859 absolute error = 2.420841305195154e-13 relative error = 6.301075530927938e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.805999999999692 y2[1] (analytic) = 0.3834073446698201 y2[1] (numeric) = 0.3834073446694182 absolute error = 4.019007349143067e-13 relative error = 1.048234313978551e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3834073446698201 y1[1] (numeric) = 0.3834073446695781 absolute error = 2.419731082170529e-13 relative error = 6.311123445625004e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.806999999999692 y2[1] (analytic) = 0.3826203707481162 y2[1] (numeric) = 0.3826203707477142 absolute error = 4.019562460655379e-13 relative error = 1.050535404792002e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3826203707481162 y1[1] (numeric) = 0.3826203707478743 absolute error = 2.418620859145904e-13 relative error = 6.321202539260808e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.807999999999692 y2[1] (analytic) = 0.3818340142059901 y2[1] (numeric) = 0.381834014205588 absolute error = 4.020117572167692e-13 relative error = 1.052844278561034e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3818340142059901 y1[1] (numeric) = 0.3818340142057483 absolute error = 2.417510636121278e-13 relative error = 6.331312942741374e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.808999999999692 y2[1] (analytic) = 0.3810482758297982 y2[1] (numeric) = 0.3810482758293962 absolute error = 4.020117572167692e-13 relative error = 1.055015289969019e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3810482758297982 y1[1] (numeric) = 0.3810482758295566 absolute error = 2.416400413096653e-13 relative error = 6.341454787676248e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.809999999999691 y2[1] (analytic) = 0.380263156405279 y2[1] (numeric) = 0.380263156404877 absolute error = 4.020117572167692e-13 relative error = 1.057193552531055e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.380263156405279 y1[1] (numeric) = 0.3802631564050374 absolute error = 2.415290190072028e-13 relative error = 6.351628206383073e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.810999999999691 y2[1] (analytic) = 0.3794786567175517 y2[1] (numeric) = 0.3794786567171496 absolute error = 4.020672683680004e-13 relative error = 1.059525381073702e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3794786567175517 y1[1] (numeric) = 0.3794786567173102 absolute error = 2.414735078559715e-13 relative error = 6.363296158595337e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.811999999999691 y2[1] (analytic) = 0.378694777551116 y2[1] (numeric) = 0.3786947775507139 absolute error = 4.020672683680004e-13 relative error = 1.061718545389049e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.378694777551116 y1[1] (numeric) = 0.3786947775508746 absolute error = 2.41362485553509e-13 relative error = 6.373536152632315e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.812999999999691 y2[1] (analytic) = 0.3779115196898509 y2[1] (numeric) = 0.3779115196894488 absolute error = 4.021227795192317e-13 relative error = 1.06406594815964e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3779115196898509 y1[1] (numeric) = 0.3779115196896097 absolute error = 2.412514632510465e-13 relative error = 6.38380813183572e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.813999999999691 y2[1] (analytic) = 0.3771288839170144 y2[1] (numeric) = 0.3771288839166122 absolute error = 4.02178290670463e-13 relative error = 1.066421342468589e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3771288839170144 y1[1] (numeric) = 0.3771288839167732 absolute error = 2.411959520998153e-13 relative error = 6.395584172568692e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.814999999999691 y2[1] (analytic) = 0.3763468710152419 y2[1] (numeric) = 0.3763468710148398 absolute error = 4.02178290670463e-13 relative error = 1.068637264302311e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3763468710152419 y1[1] (numeric) = 0.3763468710150009 absolute error = 2.410294186461215e-13 relative error = 6.404448587440491e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.815999999999691 y2[1] (analytic) = 0.3755654817665466 y2[1] (numeric) = 0.3755654817661443 absolute error = 4.022338018216942e-13 relative error = 1.071008442867827e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3755654817665466 y1[1] (numeric) = 0.3755654817663057 absolute error = 2.40918396343659e-13 relative error = 6.414817336525486e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.816999999999691 y2[1] (analytic) = 0.3747847169523174 y2[1] (numeric) = 0.3747847169519151 absolute error = 4.022893129729255e-13 relative error = 1.073387720407253e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3747847169523174 y1[1] (numeric) = 0.3747847169520766 absolute error = 2.408073740411965e-13 relative error = 6.425218616153805e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.817999999999691 y2[1] (analytic) = 0.3740045773533192 y2[1] (numeric) = 0.3740045773529169 absolute error = 4.022893129729255e-13 relative error = 1.075626709757849e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3740045773533192 y1[1] (numeric) = 0.3740045773530785 absolute error = 2.406963517387339e-13 relative error = 6.435652564523295e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.81899999999969 y2[1] (analytic) = 0.3732250637496914 y2[1] (numeric) = 0.3732250637492891 absolute error = 4.022893129729255e-13 relative error = 1.077873251413593e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3732250637496914 y1[1] (numeric) = 0.3732250637494508 absolute error = 2.405853294362714e-13 relative error = 6.446119320583018e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.81999999999969 y2[1] (analytic) = 0.3724461769209477 y2[1] (numeric) = 0.3724461769205453 absolute error = 4.023448241241567e-13 relative error = 1.080276423966503e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3724461769209477 y1[1] (numeric) = 0.3724461769207072 absolute error = 2.404743071338089e-13 relative error = 6.456619024038203e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.82099999999969 y2[1] (analytic) = 0.3716679176459747 y2[1] (numeric) = 0.3716679176455723 absolute error = 4.023448241241567e-13 relative error = 1.082538484011425e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3716679176459747 y1[1] (numeric) = 0.3716679176457344 absolute error = 2.403077736801151e-13 relative error = 6.465658246806651e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.82199999999969 y2[1] (analytic) = 0.3708902867030317 y2[1] (numeric) = 0.3708902867026294 absolute error = 4.023448241241567e-13 relative error = 1.084808199483289e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3708902867030317 y1[1] (numeric) = 0.3708902867027915 absolute error = 2.401967513776526e-13 relative error = 6.476221135712186e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.82299999999969 y2[1] (analytic) = 0.3701132848697496 y2[1] (numeric) = 0.3701132848693472 absolute error = 4.02400335275388e-13 relative error = 1.087235589008919e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3701132848697496 y1[1] (numeric) = 0.3701132848695095 absolute error = 2.401412402264214e-13 relative error = 6.488317227276289e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.82399999999969 y2[1] (analytic) = 0.3693369129231301 y2[1] (numeric) = 0.3693369129227277 absolute error = 4.02400335275388e-13 relative error = 1.089521034035229e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3693369129231301 y1[1] (numeric) = 0.3693369129228902 absolute error = 2.399747067727276e-13 relative error = 6.49744713772147e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.82499999999969 y2[1] (analytic) = 0.3685611716395452 y2[1] (numeric) = 0.3685611716391428 absolute error = 4.024558464266192e-13 relative error = 1.091964855213297e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3685611716395452 y1[1] (numeric) = 0.3685611716393054 absolute error = 2.398636844702651e-13 relative error = 6.508110537071253e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.82599999999969 y2[1] (analytic) = 0.3677860617947361 y2[1] (numeric) = 0.3677860617943335 absolute error = 4.025113575778505e-13 relative error = 1.094417106547379e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3677860617947361 y1[1] (numeric) = 0.3677860617944962 absolute error = 2.398081733190338e-13 relative error = 6.520317060108505e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.82699999999969 y2[1] (analytic) = 0.3670115841638124 y2[1] (numeric) = 0.3670115841634098 absolute error = 4.025113575778505e-13 relative error = 1.096726574707225e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3670115841638124 y1[1] (numeric) = 0.3670115841635727 absolute error = 2.396971510165713e-13 relative error = 6.531051371653289e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.827999999999689 y2[1] (analytic) = 0.3662377395212518 y2[1] (numeric) = 0.3662377395208492 absolute error = 4.025668687290818e-13 relative error = 1.099195482298792e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3662377395212518 y1[1] (numeric) = 0.3662377395210122 absolute error = 2.395861287141088e-13 relative error = 6.541819776063965e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.828999999999689 y2[1] (analytic) = 0.3654645286408988 y2[1] (numeric) = 0.3654645286404963 absolute error = 4.025668687290818e-13 relative error = 1.101521042893438e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3654645286408988 y1[1] (numeric) = 0.3654645286406594 absolute error = 2.394751064116463e-13 relative error = 6.552622420080382e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.829999999999689 y2[1] (analytic) = 0.3646919522959644 y2[1] (numeric) = 0.3646919522955618 absolute error = 4.025668687290818e-13 relative error = 1.103854544073899e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3646919522959644 y1[1] (numeric) = 0.364691952295725 absolute error = 2.393640841091838e-13 relative error = 6.563459451250208e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.830999999999689 y2[1] (analytic) = 0.3639200112590247 y2[1] (numeric) = 0.3639200112586221 absolute error = 4.02622379880313e-13 relative error = 1.106348558540084e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3639200112590247 y1[1] (numeric) = 0.3639200112587855 absolute error = 2.392530618067212e-13 relative error = 6.574331017934317e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.831999999999689 y2[1] (analytic) = 0.3631487063020208 y2[1] (numeric) = 0.3631487063016182 absolute error = 4.02622379880313e-13 relative error = 1.108698373127242e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3631487063020208 y1[1] (numeric) = 0.3631487063017816 absolute error = 2.391420395042587e-13 relative error = 6.585237269312227e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.832999999999689 y2[1] (analytic) = 0.3623780381962575 y2[1] (numeric) = 0.3623780381958548 absolute error = 4.02622379880313e-13 relative error = 1.111056238077706e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3623780381962575 y1[1] (numeric) = 0.3623780381960184 absolute error = 2.390310172017962e-13 relative error = 6.596178355387565e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.833999999999689 y2[1] (analytic) = 0.3616080077124028 y2[1] (numeric) = 0.3616080077120002 absolute error = 4.02622379880313e-13 relative error = 1.113422190032169e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3616080077124028 y1[1] (numeric) = 0.3616080077121639 absolute error = 2.389199948993337e-13 relative error = 6.607154426993597e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.834999999999689 y2[1] (analytic) = 0.3608386156204872 y2[1] (numeric) = 0.3608386156200846 absolute error = 4.02622379880313e-13 relative error = 1.115796265840272e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3608386156204872 y1[1] (numeric) = 0.3608386156202484 absolute error = 2.388089725968712e-13 relative error = 6.618165635798775e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.835999999999689 y2[1] (analytic) = 0.3600698626899028 y2[1] (numeric) = 0.3600698626895001 absolute error = 4.026778910315443e-13 relative error = 1.118332670286089e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3600698626899028 y1[1] (numeric) = 0.3600698626896641 absolute error = 2.386979502944087e-13 relative error = 6.629212134312353e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.836999999999688 y2[1] (analytic) = 0.3593017496894024 y2[1] (numeric) = 0.3593017496889996 absolute error = 4.027334021827755e-13 relative error = 1.120877932074969e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3593017496894024 y1[1] (numeric) = 0.3593017496891638 absolute error = 2.385869279919461e-13 relative error = 6.640294075890031e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.837999999999688 y2[1] (analytic) = 0.3585342773870988 y2[1] (numeric) = 0.3585342773866961 absolute error = 4.027334021827755e-13 relative error = 1.123277264081382e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3585342773870988 y1[1] (numeric) = 0.3585342773868603 absolute error = 2.384759056894836e-13 relative error = 6.65141161473965e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.838999999999688 y2[1] (analytic) = 0.3577674465504644 y2[1] (numeric) = 0.3577674465500617 absolute error = 4.027889133340068e-13 relative error = 1.125840031611685e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3577674465504644 y1[1] (numeric) = 0.3577674465502261 absolute error = 2.383648833870211e-13 relative error = 6.662564905926924e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.839999999999688 y2[1] (analytic) = 0.35700125794633 y2[1] (numeric) = 0.3570012579459272 absolute error = 4.027889133340068e-13 relative error = 1.128256285849167e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.35700125794633 y1[1] (numeric) = 0.3570012579460917 absolute error = 2.382538610845586e-13 relative error = 6.673754105381238e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.840999999999688 y2[1] (analytic) = 0.356235712340884 y2[1] (numeric) = 0.3562357123404812 absolute error = 4.027889133340068e-13 relative error = 1.13068089296049e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.356235712340884 y1[1] (numeric) = 0.3562357123406458 absolute error = 2.381428387820961e-13 relative error = 6.684979369901461e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.841999999999688 y2[1] (analytic) = 0.355470810499672 y2[1] (numeric) = 0.3554708104992692 absolute error = 4.027889133340068e-13 relative error = 1.133113891314512e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.355470810499672 y1[1] (numeric) = 0.355470810499434 absolute error = 2.380318164796336e-13 relative error = 6.696240857161834e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.842999999999688 y2[1] (analytic) = 0.3547065531875958 y2[1] (numeric) = 0.354706553187193 absolute error = 4.027889133340068e-13 relative error = 1.13555531950091e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3547065531875958 y1[1] (numeric) = 0.3547065531873579 absolute error = 2.37920794177171e-13 relative error = 6.707538725717887e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.843999999999688 y2[1] (analytic) = 0.3539429411689127 y2[1] (numeric) = 0.3539429411685098 absolute error = 4.028444244852381e-13 relative error = 1.13816205277276e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3539429411689127 y1[1] (numeric) = 0.3539429411686749 absolute error = 2.378097718747085e-13 relative error = 6.71887313501241e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.844999999999688 y2[1] (analytic) = 0.3531799752072345 y2[1] (numeric) = 0.3531799752068316 absolute error = 4.028999356364693e-13 relative error = 1.140777971344668e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3531799752072345 y1[1] (numeric) = 0.3531799752069968 absolute error = 2.37698749572246e-13 relative error = 6.730244245381469e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.845999999999687 y2[1] (analytic) = 0.3524176560655273 y2[1] (numeric) = 0.3524176560651244 absolute error = 4.028999356364693e-13 relative error = 1.143245602772965e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3524176560655273 y1[1] (numeric) = 0.3524176560652897 absolute error = 2.375877272697835e-13 relative error = 6.741652218060473e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.846999999999687 y2[1] (analytic) = 0.35165598450611 y2[1] (numeric) = 0.3516559845057071 absolute error = 4.028999356364693e-13 relative error = 1.145721822997922e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.35165598450611 y1[1] (numeric) = 0.3516559845058725 absolute error = 2.37476704967321e-13 relative error = 6.753097215190287e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.847999999999687 y2[1] (analytic) = 0.3508949612906542 y2[1] (numeric) = 0.3508949612902512 absolute error = 4.029554467877006e-13 relative error = 1.148364870517259e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3508949612906542 y1[1] (numeric) = 0.3508949612904168 absolute error = 2.373656826648585e-13 relative error = 6.764579399823389e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.848999999999687 y2[1] (analytic) = 0.3501345871801829 y2[1] (numeric) = 0.35013458717978 absolute error = 4.029554467877006e-13 relative error = 1.150858731303616e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3501345871801829 y1[1] (numeric) = 0.3501345871799457 absolute error = 2.371991492111647e-13 relative error = 6.77451351268818e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.849999999999687 y2[1] (analytic) = 0.3493748629350704 y2[1] (numeric) = 0.3493748629346674 absolute error = 4.029554467877006e-13 relative error = 1.153361301962322e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3493748629350704 y1[1] (numeric) = 0.3493748629348333 absolute error = 2.370881269087022e-13 relative error = 6.786067117620991e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.850999999999687 y2[1] (analytic) = 0.3486157893150407 y2[1] (numeric) = 0.3486157893146377 absolute error = 4.029554467877006e-13 relative error = 1.15587262292229e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3486157893150407 y1[1] (numeric) = 0.3486157893148037 absolute error = 2.369771046062397e-13 relative error = 6.797658392692185e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.851999999999687 y2[1] (analytic) = 0.3478573670791674 y2[1] (numeric) = 0.3478573670787644 absolute error = 4.029554467877006e-13 relative error = 1.158392734847538e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3478573670791674 y1[1] (numeric) = 0.3478573670789305 absolute error = 2.368660823037771e-13 relative error = 6.809287504607306e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.852999999999687 y2[1] (analytic) = 0.3470995969858727 y2[1] (numeric) = 0.3470995969854697 absolute error = 4.030109579389318e-13 relative error = 1.161081607234867e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3470995969858727 y1[1] (numeric) = 0.3470995969856359 absolute error = 2.367550600013146e-13 relative error = 6.820954621014752e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.853999999999687 y2[1] (analytic) = 0.3463424797929265 y2[1] (numeric) = 0.3463424797925235 absolute error = 4.030109579389318e-13 relative error = 1.163619773641069e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3463424797929265 y1[1] (numeric) = 0.34634247979269 absolute error = 2.365885265476209e-13 relative error = 6.831057128454873e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.854999999999686 y2[1] (analytic) = 0.3455860162574462 y2[1] (numeric) = 0.3455860162570431 absolute error = 4.030664690901631e-13 relative error = 1.166327484703248e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3455860162574462 y1[1] (numeric) = 0.3455860162572097 absolute error = 2.364775042451583e-13 relative error = 6.84279725221848e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.855999999999686 y2[1] (analytic) = 0.344830207135895 y2[1] (numeric) = 0.3448302071354919 absolute error = 4.031219802413943e-13 relative error = 1.169044857147701e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.344830207135895 y1[1] (numeric) = 0.3448302071356587 absolute error = 2.363664819426958e-13 relative error = 6.854575876803785e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.856999999999686 y2[1] (analytic) = 0.3440750531840821 y2[1] (numeric) = 0.344075053183679 absolute error = 4.031219802413943e-13 relative error = 1.171610602137208e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3440750531840821 y1[1] (numeric) = 0.3440750531838458 absolute error = 2.362554596402333e-13 relative error = 6.866393173638058e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.857999999999686 y2[1] (analytic) = 0.3433205551571613 y2[1] (numeric) = 0.3433205551567582 absolute error = 4.031219802413943e-13 relative error = 1.174185390842264e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3433205551571613 y1[1] (numeric) = 0.3433205551569252 absolute error = 2.360889261865395e-13 relative error = 6.876632425299018e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.858999999999686 y2[1] (analytic) = 0.3425667138096307 y2[1] (numeric) = 0.3425667138092275 absolute error = 4.031774913926256e-13 relative error = 1.176931310426959e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3425667138096307 y1[1] (numeric) = 0.3425667138093947 absolute error = 2.35977903884077e-13 relative error = 6.888524026745148e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.859999999999686 y2[1] (analytic) = 0.3418135298953315 y2[1] (numeric) = 0.3418135298949283 absolute error = 4.031774913926256e-13 relative error = 1.179524670998496e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3418135298953315 y1[1] (numeric) = 0.3418135298950956 absolute error = 2.358668815816145e-13 relative error = 6.900454808030582e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.860999999999686 y2[1] (analytic) = 0.3410610041674475 y2[1] (numeric) = 0.3410610041670443 absolute error = 4.031774913926256e-13 relative error = 1.182127204418484e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3410610041674475 y1[1] (numeric) = 0.3410610041672117 absolute error = 2.35755859279152e-13 relative error = 6.912424944465512e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.861999999999686 y2[1] (analytic) = 0.3403091373785044 y2[1] (numeric) = 0.3403091373781013 absolute error = 4.031774913926256e-13 relative error = 1.184738953818324e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3403091373785044 y1[1] (numeric) = 0.3403091373782688 absolute error = 2.355893258254582e-13 relative error = 6.922803414573822e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.862999999999686 y2[1] (analytic) = 0.339557930280369 y2[1] (numeric) = 0.3395579302799658 absolute error = 4.031774913926256e-13 relative error = 1.187359962583488e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.339557930280369 y1[1] (numeric) = 0.3395579302801336 absolute error = 2.354227923717644e-13 relative error = 6.933214376038239e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.863999999999685 y2[1] (analytic) = 0.3388073836242483 y2[1] (numeric) = 0.3388073836238451 absolute error = 4.032330025438569e-13 relative error = 1.190154117157787e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3388073836242483 y1[1] (numeric) = 0.338807383624013 absolute error = 2.353672812205332e-13 relative error = 6.94693482481968e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.864999999999685 y2[1] (analytic) = 0.3380574981606889 y2[1] (numeric) = 0.3380574981602856 absolute error = 4.032330025438569e-13 relative error = 1.192794139274462e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3380574981606889 y1[1] (numeric) = 0.3380574981604537 absolute error = 2.352007477668394e-13 relative error = 6.95741845829556e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.865999999999685 y2[1] (analytic) = 0.3373082746395761 y2[1] (numeric) = 0.3373082746391728 absolute error = 4.032330025438569e-13 relative error = 1.195443553748343e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3373082746395761 y1[1] (numeric) = 0.337308274639341 absolute error = 2.350342143131456e-13 relative error = 6.967935031071701e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.866999999999685 y2[1] (analytic) = 0.3365597138101334 y2[1] (numeric) = 0.3365597138097302 absolute error = 4.032330025438569e-13 relative error = 1.19810240500542e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3365597138101334 y1[1] (numeric) = 0.3365597138098985 absolute error = 2.349231920106831e-13 relative error = 6.980134055593253e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.867999999999685 y2[1] (analytic) = 0.3358118164209217 y2[1] (numeric) = 0.3358118164205185 absolute error = 4.032330025438569e-13 relative error = 1.200770737734929e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3358118164209217 y1[1] (numeric) = 0.3358118164206869 absolute error = 2.348121697082206e-13 relative error = 6.992373651732863e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.868999999999685 y2[1] (analytic) = 0.3350645832198382 y2[1] (numeric) = 0.335064583219435 absolute error = 4.032330025438569e-13 relative error = 1.203448596891223e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3350645832198382 y1[1] (numeric) = 0.3350645832196035 absolute error = 2.347011474057581e-13 relative error = 7.004654002830524e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.869999999999685 y2[1] (analytic) = 0.3343180149541161 y2[1] (numeric) = 0.3343180149537128 absolute error = 4.032885136950881e-13 relative error = 1.206302070651017e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3343180149541161 y1[1] (numeric) = 0.3343180149538815 absolute error = 2.345901251032956e-13 relative error = 7.016975293284514e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.870999999999685 y2[1] (analytic) = 0.3335721123703235 y2[1] (numeric) = 0.3335721123699202 absolute error = 4.032885136950881e-13 relative error = 1.208999489883516e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3335721123703235 y1[1] (numeric) = 0.3335721123700891 absolute error = 2.344235916496018e-13 relative error = 7.027673566108864e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.871999999999685 y2[1] (analytic) = 0.3328268762143631 y2[1] (numeric) = 0.3328268762139598 absolute error = 4.032885136950881e-13 relative error = 1.211706573345787e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3328268762143631 y1[1] (numeric) = 0.3328268762141288 absolute error = 2.343125693471393e-13 relative error = 7.040073566541726e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.872999999999684 y2[1] (analytic) = 0.3320823072314708 y2[1] (numeric) = 0.3320823072310675 absolute error = 4.032885136950881e-13 relative error = 1.214423367078044e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3320823072314708 y1[1] (numeric) = 0.3320823072312366 absolute error = 2.342015470446768e-13 relative error = 7.052515052583986e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.873999999999684 y2[1] (analytic) = 0.3313384061662156 y2[1] (numeric) = 0.3313384061658123 absolute error = 4.032885136950881e-13 relative error = 1.217149917395265e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3313384061662156 y1[1] (numeric) = 0.3313384061659816 absolute error = 2.34035013590983e-13 relative error = 7.063322851670251e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.874999999999684 y2[1] (analytic) = 0.3305951737624986 y2[1] (numeric) = 0.3305951737620953 absolute error = 4.032885136950881e-13 relative error = 1.219886270889159e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3305951737624986 y1[1] (numeric) = 0.3305951737622647 absolute error = 2.339239912885205e-13 relative error = 7.07584410946582e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.875999999999684 y2[1] (analytic) = 0.329852610763552 y2[1] (numeric) = 0.3298526107631487 absolute error = 4.032885136950881e-13 relative error = 1.222632474430154e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.329852610763552 y1[1] (numeric) = 0.3298526107633182 absolute error = 2.33812968986058e-13 relative error = 7.088407408533806e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.876999999999684 y2[1] (analytic) = 0.3291107179119387 y2[1] (numeric) = 0.3291107179115355 absolute error = 4.032885136950881e-13 relative error = 1.225388575169398e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3291107179119387 y1[1] (numeric) = 0.3291107179117051 absolute error = 2.336464355323642e-13 relative error = 7.099326239350301e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.877999999999684 y2[1] (analytic) = 0.3283694959495517 y2[1] (numeric) = 0.3283694959491484 absolute error = 4.032885136950881e-13 relative error = 1.228154620540778e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3283694959495517 y1[1] (numeric) = 0.3283694959493182 absolute error = 2.335354132299017e-13 relative error = 7.11197039038548e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.878999999999684 y2[1] (analytic) = 0.3276289456176128 y2[1] (numeric) = 0.3276289456172095 absolute error = 4.033440248463194e-13 relative error = 1.231100091251022e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3276289456176128 y1[1] (numeric) = 0.3276289456173794 absolute error = 2.334243909274392e-13 relative error = 7.124657147963872e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.879999999999684 y2[1] (analytic) = 0.3268890676566722 y2[1] (numeric) = 0.3268890676562689 absolute error = 4.033440248463194e-13 relative error = 1.233886552822705e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3268890676566722 y1[1] (numeric) = 0.3268890676564389 absolute error = 2.333133686249766e-13 relative error = 7.137386707285756e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.880999999999684 y2[1] (analytic) = 0.3261498628066078 y2[1] (numeric) = 0.3261498628062045 absolute error = 4.033440248463194e-13 relative error = 1.236683104433756e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3261498628066078 y1[1] (numeric) = 0.3261498628063746 absolute error = 2.332023463225141e-13 relative error = 7.150159264693378e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.881999999999683 y2[1] (analytic) = 0.3254113318066245 y2[1] (numeric) = 0.3254113318062212 absolute error = 4.033440248463194e-13 relative error = 1.239489794676254e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3254113318066245 y1[1] (numeric) = 0.3254113318063915 absolute error = 2.330358128688204e-13 relative error = 7.161269141275686e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.882999999999683 y2[1] (analytic) = 0.3246734753952532 y2[1] (numeric) = 0.3246734753948498 absolute error = 4.033995359975506e-13 relative error = 1.242477647755048e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3246734753952532 y1[1] (numeric) = 0.3246734753950203 absolute error = 2.329247905663578e-13 relative error = 7.17412441169696e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.883999999999683 y2[1] (analytic) = 0.3239362943103502 y2[1] (numeric) = 0.3239362943099468 absolute error = 4.033995359975506e-13 relative error = 1.245305151299502e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3239362943103502 y1[1] (numeric) = 0.3239362943101174 absolute error = 2.328137682638953e-13 relative error = 7.187023262075287e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.884999999999683 y2[1] (analytic) = 0.3231997892890965 y2[1] (numeric) = 0.3231997892886931 absolute error = 4.033995359975506e-13 relative error = 1.248142942434646e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3231997892890965 y1[1] (numeric) = 0.3231997892888639 absolute error = 2.326472348102016e-13 relative error = 7.198248344218525e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.885999999999683 y2[1] (analytic) = 0.3224639610679972 y2[1] (numeric) = 0.3224639610675938 absolute error = 4.033995359975506e-13 relative error = 1.250991070944783e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3224639610679972 y1[1] (numeric) = 0.3224639610677647 absolute error = 2.324807013565078e-13 relative error = 7.209509570822556e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.886999999999683 y2[1] (analytic) = 0.3217288103828803 y2[1] (numeric) = 0.3217288103824769 absolute error = 4.033995359975506e-13 relative error = 1.253849586916e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3217288103828803 y1[1] (numeric) = 0.3217288103826479 absolute error = 2.323696790540453e-13 relative error = 7.222532504238856e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.887999999999683 y2[1] (analytic) = 0.3209943379688965 y2[1] (numeric) = 0.3209943379684931 absolute error = 4.033995359975506e-13 relative error = 1.256718540738369e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3209943379688965 y1[1] (numeric) = 0.3209943379686643 absolute error = 2.322586567515827e-13 relative error = 7.235599799710111e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.888999999999683 y2[1] (analytic) = 0.3202605445605182 y2[1] (numeric) = 0.3202605445601148 absolute error = 4.033995359975506e-13 relative error = 1.259597983108163e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3202605445605182 y1[1] (numeric) = 0.3202605445602861 absolute error = 2.321476344491202e-13 relative error = 7.24871166280217e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.889999999999683 y2[1] (analytic) = 0.3195274308915387 y2[1] (numeric) = 0.3195274308911353 absolute error = 4.033995359975506e-13 relative error = 1.262487965030088e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3195274308915387 y1[1] (numeric) = 0.3195274308913067 absolute error = 2.319811009954265e-13 relative error = 7.260131011229856e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.890999999999682 y2[1] (analytic) = 0.3187949976950715 y2[1] (numeric) = 0.3187949976946681 absolute error = 4.033995359975506e-13 relative error = 1.265388537819541e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3187949976950715 y1[1] (numeric) = 0.3187949976948397 absolute error = 2.318145675417327e-13 relative error = 7.271587359205181e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.891999999999682 y2[1] (analytic) = 0.3180632457035499 y2[1] (numeric) = 0.3180632457031465 absolute error = 4.033995359975506e-13 relative error = 1.268299753104885e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3180632457035499 y1[1] (numeric) = 0.3180632457033182 absolute error = 2.317035452392702e-13 relative error = 7.284826158607112e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.892999999999682 y2[1] (analytic) = 0.3173321756487258 y2[1] (numeric) = 0.3173321756483224 absolute error = 4.033995359975506e-13 relative error = 1.271221662829735e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3173321756487258 y1[1] (numeric) = 0.3173321756484943 absolute error = 2.315370117855764e-13 relative error = 7.296361023342264e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.893999999999682 y2[1] (analytic) = 0.3166017882616691 y2[1] (numeric) = 0.3166017882612657 absolute error = 4.033995359975506e-13 relative error = 1.274154319255278e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3166017882616691 y1[1] (numeric) = 0.3166017882614377 absolute error = 2.314259894831139e-13 relative error = 7.309686744151992e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.894999999999682 y2[1] (analytic) = 0.3158720842727673 y2[1] (numeric) = 0.3158720842723639 absolute error = 4.033995359975506e-13 relative error = 1.277097774962602e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3158720842727673 y1[1] (numeric) = 0.3158720842725359 absolute error = 2.313149671806514e-13 relative error = 7.323058247239802e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.895999999999682 y2[1] (analytic) = 0.3151430644117241 y2[1] (numeric) = 0.3151430644113207 absolute error = 4.033995359975506e-13 relative error = 1.28005208285505e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3151430644117241 y1[1] (numeric) = 0.3151430644114929 absolute error = 2.311484337269576e-13 relative error = 7.334714287888302e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.896999999999682 y2[1] (analytic) = 0.3144147294075594 y2[1] (numeric) = 0.314414729407156 absolute error = 4.033995359975506e-13 relative error = 1.283017296160591e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3144147294075594 y1[1] (numeric) = 0.3144147294073284 absolute error = 2.310374114244951e-13 relative error = 7.348173918563889e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.897999999999682 y2[1] (analytic) = 0.3136870799886083 y2[1] (numeric) = 0.3136870799882048 absolute error = 4.034550471487819e-13 relative error = 1.286170431894847e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3136870799886083 y1[1] (numeric) = 0.3136870799883774 absolute error = 2.309263891220326e-13 relative error = 7.361679962414097e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.898999999999682 y2[1] (analytic) = 0.3129601168825199 y2[1] (numeric) = 0.3129601168821164 absolute error = 4.034550471487819e-13 relative error = 1.28915802808264e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3129601168825199 y1[1] (numeric) = 0.3129601168822891 absolute error = 2.307598556683388e-13 relative error = 7.37345889204669e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.899999999999681 y2[1] (analytic) = 0.3122338408162574 y2[1] (numeric) = 0.3122338408158539 absolute error = 4.034550471487819e-13 relative error = 1.292156692862149e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3122338408162574 y1[1] (numeric) = 0.3122338408160268 absolute error = 2.30593322214645e-13 relative error = 7.385276420128465e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.900999999999681 y2[1] (analytic) = 0.3115082525160968 y2[1] (numeric) = 0.3115082525156933 absolute error = 4.034550471487819e-13 relative error = 1.295166480791496e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3115082525160968 y1[1] (numeric) = 0.3115082525158663 absolute error = 2.304822999121825e-13 relative error = 7.398914733415374e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.901999999999681 y2[1] (analytic) = 0.3107833527076262 y2[1] (numeric) = 0.3107833527072228 absolute error = 4.034550471487819e-13 relative error = 1.29818744676565e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3107833527076262 y1[1] (numeric) = 0.3107833527073959 absolute error = 2.3037127760972e-13 relative error = 7.412600308306892e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.902999999999681 y2[1] (analytic) = 0.3100591421157456 y2[1] (numeric) = 0.3100591421153421 absolute error = 4.034550471487819e-13 relative error = 1.301219646018924e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3100591421157456 y1[1] (numeric) = 0.3100591421155153 absolute error = 2.302602553072575e-13 relative error = 7.426333367757979e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.903999999999681 y2[1] (analytic) = 0.3093356214646653 y2[1] (numeric) = 0.3093356214642619 absolute error = 4.034550471487819e-13 relative error = 1.304263134127499e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3093356214646653 y1[1] (numeric) = 0.3093356214644352 absolute error = 2.300937218535637e-13 relative error = 7.43831960781299e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.904999999999681 y2[1] (analytic) = 0.308612791477906 y2[1] (numeric) = 0.3086127914775025 absolute error = 4.034550471487819e-13 relative error = 1.30731796701196e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.308612791477906 y1[1] (numeric) = 0.3086127914776761 absolute error = 2.299271883998699e-13 relative error = 7.450345376119341e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.905999999999681 y2[1] (analytic) = 0.3078906528782976 y2[1] (numeric) = 0.3078906528778941 absolute error = 4.034550471487819e-13 relative error = 1.310384200939867e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3078906528782976 y1[1] (numeric) = 0.3078906528780678 absolute error = 2.297606549461761e-13 relative error = 7.462410852628108e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.906999999999681 y2[1] (analytic) = 0.3071692063879787 y2[1] (numeric) = 0.3071692063875752 absolute error = 4.035105583000131e-13 relative error = 1.31364261100557e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3071692063879787 y1[1] (numeric) = 0.307169206387749 absolute error = 2.296496326437136e-13 relative error = 7.476323403122911e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.907999999999681 y2[1] (analytic) = 0.3064484527283956 y2[1] (numeric) = 0.3064484527279921 absolute error = 4.035105583000131e-13 relative error = 1.316732242266021e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3064484527283956 y1[1] (numeric) = 0.3064484527281661 absolute error = 2.294830991900199e-13 relative error = 7.488473090559543e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.908999999999681 y2[1] (analytic) = 0.305728392620302 y2[1] (numeric) = 0.3057283926198985 absolute error = 4.035105583000131e-13 relative error = 1.319833447072583e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.305728392620302 y1[1] (numeric) = 0.3057283926200727 absolute error = 2.293165657363261e-13 relative error = 7.500663048365442e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.90999999999968 y2[1] (analytic) = 0.3050090267837579 y2[1] (numeric) = 0.3050090267833544 absolute error = 4.035105583000131e-13 relative error = 1.322946283114728e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3050090267837579 y1[1] (numeric) = 0.3050090267835288 absolute error = 2.291500322826323e-13 relative error = 7.512893460857887e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.91099999999968 y2[1] (analytic) = 0.3042903559381291 y2[1] (numeric) = 0.3042903559377256 absolute error = 4.035105583000131e-13 relative error = 1.326070808442113e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3042903559381291 y1[1] (numeric) = 0.3042903559379002 absolute error = 2.289834988289385e-13 relative error = 7.52516451344575e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.91199999999968 y2[1] (analytic) = 0.3035723808020865 y2[1] (numeric) = 0.303572380801683 absolute error = 4.035105583000131e-13 relative error = 1.329207081467274e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3035723808020865 y1[1] (numeric) = 0.3035723808018576 absolute error = 2.28872476526476e-13 relative error = 7.539304989530291e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.91299999999968 y2[1] (analytic) = 0.3028551020936049 y2[1] (numeric) = 0.3028551020932014 absolute error = 4.035105583000131e-13 relative error = 1.332355160968357e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3028551020936049 y1[1] (numeric) = 0.3028551020933762 absolute error = 2.287059430727822e-13 relative error = 7.551662213770298e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.91399999999968 y2[1] (analytic) = 0.3021385205299633 y2[1] (numeric) = 0.3021385205295598 absolute error = 4.035105583000131e-13 relative error = 1.335515106091865e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3021385205299633 y1[1] (numeric) = 0.3021385205297347 absolute error = 2.285949207703197e-13 relative error = 7.565897932158896e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.91499999999968 y2[1] (analytic) = 0.3014226368277428 y2[1] (numeric) = 0.3014226368273393 absolute error = 4.035105583000131e-13 relative error = 1.338686976355434e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3014226368277428 y1[1] (numeric) = 0.3014226368275144 absolute error = 2.28428387316626e-13 relative error = 7.578342148442167e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.91599999999968 y2[1] (analytic) = 0.3007074517028274 y2[1] (numeric) = 0.3007074517024239 absolute error = 4.035105583000131e-13 relative error = 1.341870831650625e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.3007074517028274 y1[1] (numeric) = 0.3007074517025991 absolute error = 2.283173650141634e-13 relative error = 7.592673999971137e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.91699999999968 y2[1] (analytic) = 0.299992965870402 y2[1] (numeric) = 0.2999929658699985 absolute error = 4.034550471487819e-13 relative error = 1.344881690736295e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.299992965870402 y1[1] (numeric) = 0.2999929658701738 absolute error = 2.281508315604697e-13 relative error = 7.605206038698642e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.91799999999968 y2[1] (analytic) = 0.2992791800449524 y2[1] (numeric) = 0.2992791800445489 absolute error = 4.034550471487819e-13 relative error = 1.348089255952192e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2992791800449524 y1[1] (numeric) = 0.2992791800447244 absolute error = 2.279842981067759e-13 relative error = 7.617780096581799e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.918999999999679 y2[1] (analytic) = 0.2985660949402643 y2[1] (numeric) = 0.2985660949398609 absolute error = 4.034550471487819e-13 relative error = 1.351308986472504e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2985660949402643 y1[1] (numeric) = 0.2985660949400364 absolute error = 2.278732758043134e-13 relative error = 7.632255626678078e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.919999999999679 y2[1] (analytic) = 0.2978537112694228 y2[1] (numeric) = 0.2978537112690194 absolute error = 4.033995359975506e-13 relative error = 1.354354573183937e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2978537112694228 y1[1] (numeric) = 0.2978537112691951 absolute error = 2.277067423506196e-13 relative error = 7.644918754920197e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.920999999999679 y2[1] (analytic) = 0.2971420297448116 y2[1] (numeric) = 0.2971420297444082 absolute error = 4.033995359975506e-13 relative error = 1.357598372549296e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2971420297448116 y1[1] (numeric) = 0.297142029744584 absolute error = 2.275957200481571e-13 relative error = 7.65949267572879e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.921999999999679 y2[1] (analytic) = 0.2964310510781121 y2[1] (numeric) = 0.2964310510777087 absolute error = 4.033995359975506e-13 relative error = 1.360854520909321e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2964310510781121 y1[1] (numeric) = 0.2964310510778846 absolute error = 2.274291865944633e-13 relative error = 7.67224573024011e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.922999999999679 y2[1] (analytic) = 0.2957207759803028 y2[1] (numeric) = 0.2957207759798994 absolute error = 4.033995359975506e-13 relative error = 1.364123080836295e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2957207759803028 y1[1] (numeric) = 0.2957207759800755 absolute error = 2.273181642920008e-13 relative error = 7.68691897072331e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.923999999999679 y2[1] (analytic) = 0.2950112051616589 y2[1] (numeric) = 0.2950112051612555 absolute error = 4.033995359975506e-13 relative error = 1.367404115299612e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2950112051616589 y1[1] (numeric) = 0.2950112051614318 absolute error = 2.27151630838307e-13 relative error = 7.699762817952406e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.924999999999679 y2[1] (analytic) = 0.294302339331751 y2[1] (numeric) = 0.2943023393313477 absolute error = 4.033440248463194e-13 relative error = 1.370509068198916e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.294302339331751 y1[1] (numeric) = 0.2943023393315241 absolute error = 2.269850973846133e-13 relative error = 7.712650123679284e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.925999999999679 y2[1] (analytic) = 0.2935941791994451 y2[1] (numeric) = 0.2935941791990417 absolute error = 4.033440248463194e-13 relative error = 1.373814787289495e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2935941791994451 y1[1] (numeric) = 0.2935941791992182 absolute error = 2.268740750821507e-13 relative error = 7.727471835469535e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.926999999999679 y2[1] (analytic) = 0.292886725472901 y2[1] (numeric) = 0.2928867254724977 absolute error = 4.032885136950881e-13 relative error = 1.376943639367506e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.292886725472901 y1[1] (numeric) = 0.2928867254726743 absolute error = 2.26707541628457e-13 relative error = 7.74045123630681e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.927999999999678 y2[1] (analytic) = 0.2921799788595726 y2[1] (numeric) = 0.2921799788591693 absolute error = 4.032885136950881e-13 relative error = 1.380274292814965e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2921799788595726 y1[1] (numeric) = 0.292179978859346 absolute error = 2.265965193259944e-13 relative error = 7.755374622533639e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.928999999999678 y2[1] (analytic) = 0.2914739400662062 y2[1] (numeric) = 0.291473940065803 absolute error = 4.032330025438569e-13 relative error = 1.383427288395886e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2914739400662062 y1[1] (numeric) = 0.2914739400659799 absolute error = 2.263744747210694e-13 relative error = 7.766542513874484e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.929999999999678 y2[1] (analytic) = 0.2907686097988409 y2[1] (numeric) = 0.2907686097984376 absolute error = 4.032885136950881e-13 relative error = 1.386974040884573e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2907686097988409 y1[1] (numeric) = 0.2907686097986146 absolute error = 2.262634524186069e-13 relative error = 7.781563923806636e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.930999999999678 y2[1] (analytic) = 0.2900639887628066 y2[1] (numeric) = 0.2900639887624033 absolute error = 4.032885136950881e-13 relative error = 1.390343266722669e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2900639887628066 y1[1] (numeric) = 0.2900639887625805 absolute error = 2.260969189649131e-13 relative error = 7.794725568288274e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.931999999999678 y2[1] (analytic) = 0.2893600776627243 y2[1] (numeric) = 0.2893600776623211 absolute error = 4.032330025438569e-13 relative error = 1.393533640856504e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2893600776627243 y1[1] (numeric) = 0.2893600776624984 absolute error = 2.258748743599881e-13 relative error = 7.806013745381488e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.932999999999678 y2[1] (analytic) = 0.2886568772025052 y2[1] (numeric) = 0.288656877202102 absolute error = 4.032330025438569e-13 relative error = 1.396928444774145e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2886568772025052 y1[1] (numeric) = 0.2886568772022795 absolute error = 2.257083409062943e-13 relative error = 7.819260815599769e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.933999999999678 y2[1] (analytic) = 0.2879543880853496 y2[1] (numeric) = 0.2879543880849464 absolute error = 4.032330025438569e-13 relative error = 1.400336370023778e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2879543880853496 y1[1] (numeric) = 0.2879543880851241 absolute error = 2.255418074526006e-13 relative error = 7.832553237068574e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.934999999999678 y2[1] (analytic) = 0.2872526110137466 y2[1] (numeric) = 0.2872526110133434 absolute error = 4.032330025438569e-13 relative error = 1.403757484121041e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2872526110137466 y1[1] (numeric) = 0.2872526110135212 absolute error = 2.253752739989068e-13 relative error = 7.8458912245752e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.935999999999678 y2[1] (analytic) = 0.2865515466894732 y2[1] (numeric) = 0.28655154668907 absolute error = 4.032330025438569e-13 relative error = 1.407191855016674e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2865515466894732 y1[1] (numeric) = 0.286551546689248 absolute error = 2.25208740545213e-13 relative error = 7.859274994221705e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.936999999999677 y2[1] (analytic) = 0.2858511958135936 y2[1] (numeric) = 0.2858511958131904 absolute error = 4.032330025438569e-13 relative error = 1.410639551099898e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2858511958135936 y1[1] (numeric) = 0.2858511958133686 absolute error = 2.250422070915192e-13 relative error = 7.87270476343473e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.937999999999677 y2[1] (analytic) = 0.2851515590864587 y2[1] (numeric) = 0.2851515590860555 absolute error = 4.032330025438569e-13 relative error = 1.414100641201809e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2851515590864587 y1[1] (numeric) = 0.2851515590862339 absolute error = 2.248756736378255e-13 relative error = 7.886180750975397e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.938999999999677 y2[1] (analytic) = 0.2844526372077052 y2[1] (numeric) = 0.284452637207302 absolute error = 4.032330025438569e-13 relative error = 1.417575194598808e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2844526372077052 y1[1] (numeric) = 0.2844526372074804 absolute error = 2.247646513353629e-13 relative error = 7.90165468465112e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.939999999999677 y2[1] (analytic) = 0.2837544308762548 y2[1] (numeric) = 0.2837544308758516 absolute error = 4.032330025438569e-13 relative error = 1.421063281016065e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2837544308762548 y1[1] (numeric) = 0.2837544308760302 absolute error = 2.245981178816692e-13 relative error = 7.915228572399503e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.940999999999677 y2[1] (analytic) = 0.2830569407903138 y2[1] (numeric) = 0.2830569407899106 absolute error = 4.032330025438569e-13 relative error = 1.42456497063101e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2830569407903138 y1[1] (numeric) = 0.2830569407900894 absolute error = 2.244315844279754e-13 relative error = 7.928849361593022e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.941999999999677 y2[1] (analytic) = 0.2823601676473724 y2[1] (numeric) = 0.2823601676469691 absolute error = 4.032330025438569e-13 relative error = 1.428080334076857e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2823601676473724 y1[1] (numeric) = 0.2823601676471481 absolute error = 2.242650509742816e-13 relative error = 7.942517276528775e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.942999999999677 y2[1] (analytic) = 0.2816641121442034 y2[1] (numeric) = 0.2816641121438002 absolute error = 4.031774913926256e-13 relative error = 1.43141235964847e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2816641121442034 y1[1] (numeric) = 0.2816641121439794 absolute error = 2.240430063693566e-13 relative error = 7.954261714912883e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.943999999999677 y2[1] (analytic) = 0.2809687749768625 y2[1] (numeric) = 0.2809687749764593 absolute error = 4.031774913926256e-13 relative error = 1.434954796759273e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2809687749768625 y1[1] (numeric) = 0.2809687749766386 absolute error = 2.238764729156628e-13 relative error = 7.968019682404169e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.944999999999677 y2[1] (analytic) = 0.2802741568406866 y2[1] (numeric) = 0.2802741568402835 absolute error = 4.031774913926256e-13 relative error = 1.4385111204591e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2802741568406866 y1[1] (numeric) = 0.2802741568404629 absolute error = 2.23709939461969e-13 relative error = 7.981825437767e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.945999999999676 y2[1] (analytic) = 0.279580258430294 y2[1] (numeric) = 0.2795802584298908 absolute error = 4.031774913926256e-13 relative error = 1.442081403230219e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.279580258430294 y1[1] (numeric) = 0.2795802584300704 absolute error = 2.235989171595065e-13 relative error = 7.997664728364755e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.946999999999676 y2[1] (analytic) = 0.2788870804395829 y2[1] (numeric) = 0.2788870804391797 absolute error = 4.031774913926256e-13 relative error = 1.445665718028729e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2788870804395829 y1[1] (numeric) = 0.2788870804393594 absolute error = 2.234323837058128e-13 relative error = 8.011571685344397e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.947999999999676 y2[1] (analytic) = 0.2781946235617312 y2[1] (numeric) = 0.2781946235613281 absolute error = 4.031219802413943e-13 relative error = 1.449064597583576e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2781946235617312 y1[1] (numeric) = 0.2781946235615079 absolute error = 2.23265850252119e-13 relative error = 8.025527143322971e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.948999999999676 y2[1] (analytic) = 0.2775028884891959 y2[1] (numeric) = 0.2775028884887927 absolute error = 4.031219802413943e-13 relative error = 1.452676699821412e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2775028884891959 y1[1] (numeric) = 0.2775028884889727 absolute error = 2.231548279496565e-13 relative error = 8.041531717546236e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.949999999999676 y2[1] (analytic) = 0.2768118759137118 y2[1] (numeric) = 0.2768118759133087 absolute error = 4.030664690901631e-13 relative error = 1.456102516410126e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2768118759137118 y1[1] (numeric) = 0.2768118759134888 absolute error = 2.229882944959627e-13 relative error = 8.055589875250619e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.950999999999676 y2[1] (analytic) = 0.2761215865262915 y2[1] (numeric) = 0.2761215865258885 absolute error = 4.030664690901631e-13 relative error = 1.459742695820648e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2761215865262915 y1[1] (numeric) = 0.2761215865260687 absolute error = 2.228772721935002e-13 relative error = 8.07170764869839e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.951999999999676 y2[1] (analytic) = 0.2754320210172244 y2[1] (numeric) = 0.2754320210168214 absolute error = 4.030109579389318e-13 relative error = 1.463195733199551e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2754320210172244 y1[1] (numeric) = 0.2754320210170017 absolute error = 2.227107387398064e-13 relative error = 8.085869533879613e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.952999999999676 y2[1] (analytic) = 0.274743180076076 y2[1] (numeric) = 0.2747431800756729 absolute error = 4.030109579389318e-13 relative error = 1.466864283318475e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.274743180076076 y1[1] (numeric) = 0.2747431800758534 absolute error = 2.225997164373439e-13 relative error = 8.10210161998221e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.953999999999676 y2[1] (analytic) = 0.2740550643916869 y2[1] (numeric) = 0.274055064391284 absolute error = 4.029554467877006e-13 relative error = 1.470344828993146e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2740550643916869 y1[1] (numeric) = 0.2740550643914645 absolute error = 2.224331829836501e-13 relative error = 8.116368273557703e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.954999999999675 y2[1] (analytic) = 0.273367674652173 y2[1] (numeric) = 0.2733676746517701 absolute error = 4.029554467877006e-13 relative error = 1.474042047218685e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.273367674652173 y1[1] (numeric) = 0.2733676746519508 absolute error = 2.222666495299563e-13 relative error = 8.130685159200461e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.955999999999675 y2[1] (analytic) = 0.2726810115449239 y2[1] (numeric) = 0.272681011544521 absolute error = 4.028999356364693e-13 relative error = 1.477550392503557e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2726810115449239 y1[1] (numeric) = 0.2726810115447018 absolute error = 2.221001160762626e-13 relative error = 8.145052521916136e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.956999999999675 y2[1] (analytic) = 0.2719950757566027 y2[1] (numeric) = 0.2719950757561998 absolute error = 4.028999356364693e-13 relative error = 1.481276580157679e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2719950757566027 y1[1] (numeric) = 0.2719950757563807 absolute error = 2.219890937738001e-13 relative error = 8.161511496349626e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.957999999999675 y2[1] (analytic) = 0.271309867973145 y2[1] (numeric) = 0.2713098679727421 absolute error = 4.028444244852381e-13 relative error = 1.484813020236745e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.271309867973145 y1[1] (numeric) = 0.2713098679729232 absolute error = 2.218225603201063e-13 relative error = 8.175985708786047e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.958999999999675 y2[1] (analytic) = 0.2706253888797586 y2[1] (numeric) = 0.2706253888793558 absolute error = 4.028444244852381e-13 relative error = 1.488568482627569e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2706253888797586 y1[1] (numeric) = 0.270625388879537 absolute error = 2.216560268664125e-13 relative error = 8.190511163196752e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.959999999999675 y2[1] (analytic) = 0.2699416391609226 y2[1] (numeric) = 0.2699416391605198 absolute error = 4.027889133340068e-13 relative error = 1.492133316616222e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2699416391609226 y1[1] (numeric) = 0.2699416391607011 absolute error = 2.214894934127187e-13 relative error = 8.205088110940911e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.960999999999675 y2[1] (analytic) = 0.2692586195003865 y2[1] (numeric) = 0.2692586194999838 absolute error = 4.027889133340068e-13 relative error = 1.49591836310157e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2692586195003865 y1[1] (numeric) = 0.2692586195001652 absolute error = 2.21322959959025e-13 relative error = 8.219716804969627e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.961999999999675 y2[1] (analytic) = 0.2685763305811701 y2[1] (numeric) = 0.2685763305807674 absolute error = 4.027334021827755e-13 relative error = 1.499511894109597e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2685763305811701 y1[1] (numeric) = 0.2685763305809489 absolute error = 2.211564265053312e-13 relative error = 8.234397499838226e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.962999999999675 y2[1] (analytic) = 0.2678947730855621 y2[1] (numeric) = 0.2678947730851594 absolute error = 4.027334021827755e-13 relative error = 1.503326838161742e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2678947730855621 y1[1] (numeric) = 0.2678947730853412 absolute error = 2.209898930516374e-13 relative error = 8.249130451718671e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.963999999999674 y2[1] (analytic) = 0.2672139476951201 y2[1] (numeric) = 0.2672139476947173 absolute error = 4.027334021827755e-13 relative error = 1.507157113828046e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2672139476951201 y1[1] (numeric) = 0.2672139476948993 absolute error = 2.208233595979436e-13 relative error = 8.263915918412082e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.964999999999674 y2[1] (analytic) = 0.2665338550906693 y2[1] (numeric) = 0.2665338550902666 absolute error = 4.027334021827755e-13 relative error = 1.511002803174006e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2665338550906693 y1[1] (numeric) = 0.2665338550904486 absolute error = 2.207123372954811e-13 relative error = 8.280836864810264e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.965999999999674 y2[1] (analytic) = 0.2658544959523023 y2[1] (numeric) = 0.2658544959518995 absolute error = 4.027334021827755e-13 relative error = 1.514863988815262e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2658544959523023 y1[1] (numeric) = 0.2658544959520817 absolute error = 2.205458038417873e-13 relative error = 8.295733463215763e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.966999999999674 y2[1] (analytic) = 0.2651758709593781 y2[1] (numeric) = 0.2651758709589754 absolute error = 4.026778910315443e-13 relative error = 1.518531416809148e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2651758709593781 y1[1] (numeric) = 0.2651758709591577 absolute error = 2.203237592368623e-13 relative error = 8.308590010084795e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.967999999999674 y2[1] (analytic) = 0.2644979807905217 y2[1] (numeric) = 0.264497980790119 absolute error = 4.026778910315443e-13 relative error = 1.522423308594022e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2644979807905217 y1[1] (numeric) = 0.2644979807903016 absolute error = 2.201572257831685e-13 relative error = 8.323588147069055e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.968999999999674 y2[1] (analytic) = 0.2638208261236233 y2[1] (numeric) = 0.2638208261232206 absolute error = 4.026778910315443e-13 relative error = 1.526330945695903e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2638208261236233 y1[1] (numeric) = 0.2638208261234033 absolute error = 2.199906923294748e-13 relative error = 8.338640112755531e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.969999999999674 y2[1] (analytic) = 0.2631444076358374 y2[1] (numeric) = 0.2631444076354347 absolute error = 4.02622379880313e-13 relative error = 1.530043459777788e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2631444076358374 y1[1] (numeric) = 0.2631444076356175 absolute error = 2.19824158875781e-13 relative error = 8.353746174989712e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.970999999999674 y2[1] (analytic) = 0.2624687260035824 y2[1] (numeric) = 0.2624687260031798 absolute error = 4.02622379880313e-13 relative error = 1.533982299570493e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2624687260035824 y1[1] (numeric) = 0.2624687260033627 absolute error = 2.196576254220872e-13 relative error = 8.368906603337159e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.971999999999674 y2[1] (analytic) = 0.26179378190254 y2[1] (numeric) = 0.2617937819021374 absolute error = 4.02622379880313e-13 relative error = 1.537937138744573e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.26179378190254 y1[1] (numeric) = 0.2617937819023205 absolute error = 2.194910919683934e-13 relative error = 8.384121669096981e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.972999999999673 y2[1] (analytic) = 0.2611195760076541 y2[1] (numeric) = 0.2611195760072516 absolute error = 4.025668687290818e-13 relative error = 1.541695474862756e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2611195760076541 y1[1] (numeric) = 0.2611195760074349 absolute error = 2.192690473634684e-13 relative error = 8.397265755250808e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.973999999999673 y2[1] (analytic) = 0.2604461089931307 y2[1] (numeric) = 0.2604461089927281 absolute error = 4.025668687290818e-13 relative error = 1.545682023376665e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2604461089931307 y1[1] (numeric) = 0.2604461089929116 absolute error = 2.191025139097746e-13 relative error = 8.412585419563842e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.974999999999673 y2[1] (analytic) = 0.2597733815324367 y2[1] (numeric) = 0.2597733815320341 absolute error = 4.025668687290818e-13 relative error = 1.549684830502216e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2597733815324367 y1[1] (numeric) = 0.2597733815322177 absolute error = 2.189359804560809e-13 relative error = 8.427960523304939e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.975999999999673 y2[1] (analytic) = 0.2591013942982994 y2[1] (numeric) = 0.2591013942978969 absolute error = 4.025668687290818e-13 relative error = 1.553703984570661e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2591013942982994 y1[1] (numeric) = 0.2591013942980807 absolute error = 2.187694470023871e-13 relative error = 8.443391344722801e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.976999999999673 y2[1] (analytic) = 0.2584301479627061 y2[1] (numeric) = 0.2584301479623036 absolute error = 4.025668687290818e-13 relative error = 1.557739574514255e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2584301479627061 y1[1] (numeric) = 0.2584301479624875 absolute error = 2.186029135486933e-13 relative error = 8.458878163868085e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.977999999999673 y2[1] (analytic) = 0.257759643196903 y2[1] (numeric) = 0.2577596431965005 absolute error = 4.025113575778505e-13 relative error = 1.561576329737435e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.257759643196903 y1[1] (numeric) = 0.2577596431966847 absolute error = 2.183808689437683e-13 relative error = 8.472267661270262e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.978999999999673 y2[1] (analytic) = 0.2570898806713949 y2[1] (numeric) = 0.2570898806709924 absolute error = 4.025113575778505e-13 relative error = 1.565644499607238e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2570898806713949 y1[1] (numeric) = 0.2570898806711767 absolute error = 2.182143354900745e-13 relative error = 8.487861712806579e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.979999999999673 y2[1] (analytic) = 0.2564208610559442 y2[1] (numeric) = 0.2564208610555417 absolute error = 4.025113575778505e-13 relative error = 1.569729373500673e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2564208610559442 y1[1] (numeric) = 0.2564208610557262 absolute error = 2.180478020363807e-13 relative error = 8.503512590140179e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.980999999999673 y2[1] (analytic) = 0.2557525850195705 y2[1] (numeric) = 0.255752585019168 absolute error = 4.025113575778505e-13 relative error = 1.573831042791023e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2557525850195705 y1[1] (numeric) = 0.2557525850193527 absolute error = 2.17881268582687e-13 relative error = 8.519220580547187e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.981999999999672 y2[1] (analytic) = 0.2550850532305498 y2[1] (numeric) = 0.2550850532301473 absolute error = 4.024558464266192e-13 relative error = 1.577731981273217e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2550850532305498 y1[1] (numeric) = 0.2550850532303321 absolute error = 2.176592239777619e-13 relative error = 8.532809791134184e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.982999999999672 y2[1] (analytic) = 0.2544182663564137 y2[1] (numeric) = 0.2544182663560113 absolute error = 4.024558464266192e-13 relative error = 1.581866947646047e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2544182663564137 y1[1] (numeric) = 0.2544182663561962 absolute error = 2.175482016752994e-13 relative error = 8.550809059068772e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.983999999999672 y2[1] (analytic) = 0.2537522250639492 y2[1] (numeric) = 0.2537522250635468 absolute error = 4.02400335275388e-13 relative error = 1.585800223718146e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2537522250639492 y1[1] (numeric) = 0.2537522250637318 absolute error = 2.173816682216057e-13 relative error = 8.566690131163279e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.984999999999672 y2[1] (analytic) = 0.2530869300191974 y2[1] (numeric) = 0.253086930018795 absolute error = 4.023448241241567e-13 relative error = 1.589749514499377e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2530869300191974 y1[1] (numeric) = 0.2530869300189802 absolute error = 2.171596236166806e-13 relative error = 8.580436121304583e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.985999999999672 y2[1] (analytic) = 0.2524223818874533 y2[1] (numeric) = 0.252422381887051 absolute error = 4.023448241241567e-13 relative error = 1.593934821134636e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2524223818874533 y1[1] (numeric) = 0.2524223818872363 absolute error = 2.169930901629868e-13 relative error = 8.596428277890857e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.986999999999672 y2[1] (analytic) = 0.2517585813332651 y2[1] (numeric) = 0.2517585813328627 absolute error = 4.023448241241567e-13 relative error = 1.598137477552566e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2517585813332651 y1[1] (numeric) = 0.2517585813330482 absolute error = 2.168265567092931e-13 relative error = 8.612479287141725e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.987999999999672 y2[1] (analytic) = 0.2510955290204331 y2[1] (numeric) = 0.2510955290200308 absolute error = 4.023448241241567e-13 relative error = 1.60235757957847e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2510955290204331 y1[1] (numeric) = 0.2510955290202165 absolute error = 2.166600232555993e-13 relative error = 8.628589449634063e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.988999999999672 y2[1] (analytic) = 0.2504332256120098 y2[1] (numeric) = 0.2504332256116075 absolute error = 4.022893129729255e-13 relative error = 1.606373563211547e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2504332256120098 y1[1] (numeric) = 0.2504332256117933 absolute error = 2.164934898019055e-13 relative error = 8.644759067924706e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.989999999999672 y2[1] (analytic) = 0.2497716717702983 y2[1] (numeric) = 0.2497716717698961 absolute error = 4.022338018216942e-13 relative error = 1.610406011901971e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2497716717702983 y1[1] (numeric) = 0.249771671770082 absolute error = 2.162992007725961e-13 relative error = 8.659877208633771e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.990999999999671 y2[1] (analytic) = 0.2491108681568526 y2[1] (numeric) = 0.2491108681564504 absolute error = 4.022060462460786e-13 relative error = 1.614566434704204e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2491108681568526 y1[1] (numeric) = 0.2491108681566364 absolute error = 2.161326673189023e-13 relative error = 8.676163706467213e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.991999999999671 y2[1] (analytic) = 0.2484508154324761 y2[1] (numeric) = 0.2484508154320739 absolute error = 4.02178290670463e-13 relative error = 1.618744096172093e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2484508154324761 y1[1] (numeric) = 0.2484508154322602 absolute error = 2.159383782895929e-13 relative error = 8.691393421821174e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.992999999999671 y2[1] (analytic) = 0.2477915142572216 y2[1] (numeric) = 0.2477915142568194 absolute error = 4.02178290670463e-13 relative error = 1.623051103569992e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2477915142572216 y1[1] (numeric) = 0.2477915142570058 absolute error = 2.157718448358992e-13 relative error = 8.707797984232656e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.993999999999671 y2[1] (analytic) = 0.2471329652903901 y2[1] (numeric) = 0.247132965289988 absolute error = 4.021227795192317e-13 relative error = 1.627151517591848e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2471329652903901 y1[1] (numeric) = 0.2471329652901745 absolute error = 2.155775558065898e-13 relative error = 8.723140417680757e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.994999999999671 y2[1] (analytic) = 0.2464751691905306 y2[1] (numeric) = 0.2464751691901285 absolute error = 4.021227795192317e-13 relative error = 1.631494080478274e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2464751691905306 y1[1] (numeric) = 0.2464751691903152 absolute error = 2.15411022352896e-13 relative error = 8.739664245300857e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.995999999999671 y2[1] (analytic) = 0.2458181266154391 y2[1] (numeric) = 0.2458181266150371 absolute error = 4.020672683680004e-13 relative error = 1.63562904780004e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2458181266154391 y1[1] (numeric) = 0.2458181266152239 absolute error = 2.152167333235866e-13 relative error = 8.755120555461488e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.996999999999671 y2[1] (analytic) = 0.2451618382221582 y2[1] (numeric) = 0.2451618382217562 absolute error = 4.020395127923848e-13 relative error = 1.639894347782092e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2451618382221582 y1[1] (numeric) = 0.2451618382219432 absolute error = 2.150501998698928e-13 relative error = 8.771764864767447e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.997999999999671 y2[1] (analytic) = 0.2445063046669761 y2[1] (numeric) = 0.2445063046665741 absolute error = 4.020117572167692e-13 relative error = 1.644177469224442e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2445063046669761 y1[1] (numeric) = 0.2445063046667613 absolute error = 2.14883666416199e-13 relative error = 8.78847139376942e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.998999999999671 y2[1] (analytic) = 0.2438515266054264 y2[1] (numeric) = 0.2438515266050245 absolute error = 4.019840016411536e-13 relative error = 1.648478511646144e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2438515266054264 y1[1] (numeric) = 0.2438515266052118 absolute error = 2.146893773868896e-13 relative error = 8.804102249245962e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.99999999999967 y2[1] (analytic) = 0.2431975046922871 y2[1] (numeric) = 0.2431975046918852 absolute error = 4.019562460655379e-13 relative error = 1.652797575263468e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2431975046922871 y1[1] (numeric) = 0.2431975046920726 absolute error = 2.144950883575802e-13 relative error = 8.819789850598036e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.000999999999671 y2[1] (analytic) = 0.2425442395815798 y2[1] (numeric) = 0.2425442395811781 absolute error = 4.01650934733766e-13 relative error = 1.65599040994198e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2425442395815798 y1[1] (numeric) = 0.2425442395813657 absolute error = 2.140509991477302e-13 relative error = 8.825235326841646e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.001999999999671 y2[1] (analytic) = 0.2418917319265697 y2[1] (numeric) = 0.2418917319261684 absolute error = 4.013178678263785e-13 relative error = 1.659080550749065e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2418917319265697 y1[1] (numeric) = 0.2418917319263561 absolute error = 2.135791543622645e-13 relative error = 8.829535125537073e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.002999999999671 y2[1] (analytic) = 0.2412399823797645 y2[1] (numeric) = 0.2412399823793635 absolute error = 4.010125564946065e-13 relative error = 1.662297238371229e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2412399823797645 y1[1] (numeric) = 0.2412399823795514 absolute error = 2.131073095767988e-13 relative error = 8.833830423736362e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.003999999999672 y2[1] (analytic) = 0.2405889915929138 y2[1] (numeric) = 0.2405889915925131 absolute error = 4.007072451628346e-13 relative error = 1.665526101214337e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2405889915929138 y1[1] (numeric) = 0.2405889915927011 absolute error = 2.126354647913331e-13 relative error = 8.838121120317959e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.004999999999672 y2[1] (analytic) = 0.2399387602170081 y2[1] (numeric) = 0.2399387602166077 absolute error = 4.003741782554471e-13 relative error = 1.668651525469816e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2399387602170081 y1[1] (numeric) = 0.239938760216796 absolute error = 2.121358644302518e-13 relative error = 8.841250335643541e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.005999999999672 y2[1] (analytic) = 0.2392892889022789 y2[1] (numeric) = 0.2392892889018788 absolute error = 4.000688669236752e-13 relative error = 1.671904617038899e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2392892889022789 y1[1] (numeric) = 0.2392892889020672 absolute error = 2.116640196447861e-13 relative error = 8.845528381808413e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.006999999999673 y2[1] (analytic) = 0.2386405782981974 y2[1] (numeric) = 0.2386405782977977 absolute error = 3.997358000162876e-13 relative error = 1.675053768587465e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2386405782981974 y1[1] (numeric) = 0.2386405782979862 absolute error = 2.111921748593204e-13 relative error = 8.849801503389823e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.007999999999673 y2[1] (analytic) = 0.2379926290534742 y2[1] (numeric) = 0.2379926290530748 absolute error = 3.994304886845157e-13 relative error = 1.678331342752503e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2379926290534742 y1[1] (numeric) = 0.2379926290532634 absolute error = 2.107480856494703e-13 relative error = 8.855235831783584e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.008999999999673 y2[1] (analytic) = 0.2373454418160584 y2[1] (numeric) = 0.2373454418156593 absolute error = 3.990974217771281e-13 relative error = 1.681504471808761e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2373454418160584 y1[1] (numeric) = 0.2373454418158481 absolute error = 2.102762408640046e-13 relative error = 8.859501967051374e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.009999999999674 y2[1] (analytic) = 0.2366990172331372 y2[1] (numeric) = 0.2366990172327384 absolute error = 3.987921104453562e-13 relative error = 1.684806785879322e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2366990172331372 y1[1] (numeric) = 0.2366990172329274 absolute error = 2.09804396078539e-13 relative error = 8.86376287198065e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.010999999999674 y2[1] (analytic) = 0.2360533559511352 y2[1] (numeric) = 0.2360533559507367 absolute error = 3.984590435379687e-13 relative error = 1.688004146064556e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2360533559511352 y1[1] (numeric) = 0.2360533559509259 absolute error = 2.093325512930733e-13 relative error = 8.868018438018168e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.011999999999674 y2[1] (analytic) = 0.2354084586157136 y2[1] (numeric) = 0.2354084586153154 absolute error = 3.981537322061968e-13 relative error = 1.691331460846751e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2354084586157136 y1[1] (numeric) = 0.2354084586155047 absolute error = 2.088884620832232e-13 relative error = 8.873447594515614e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.012999999999675 y2[1] (analytic) = 0.2347643258717696 y2[1] (numeric) = 0.2347643258713718 absolute error = 3.978484208744248e-13 relative error = 1.694671536644512e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2347643258717696 y1[1] (numeric) = 0.2347643258715612 absolute error = 2.084166172977575e-13 relative error = 8.877695387654278e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.013999999999675 y2[1] (analytic) = 0.234120958363436 y2[1] (numeric) = 0.2341209583630385 absolute error = 3.975153539670373e-13 relative error = 1.6979058891001e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.234120958363436 y1[1] (numeric) = 0.2341209583632281 absolute error = 2.079447725122918e-13 relative error = 8.881937523486907e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.014999999999675 y2[1] (analytic) = 0.2334783567340802 y2[1] (numeric) = 0.233478356733683 absolute error = 3.972100426352654e-13 relative error = 1.701271364898576e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2334783567340802 y1[1] (numeric) = 0.2334783567338728 absolute error = 2.074729277268261e-13 relative error = 8.886173889048185e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.015999999999676 y2[1] (analytic) = 0.2328365216263039 y2[1] (numeric) = 0.232836521625907 absolute error = 3.969047313034935e-13 relative error = 1.704649805499648e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2328365216263039 y1[1] (numeric) = 0.2328365216260968 absolute error = 2.070288385169761e-13 relative error = 8.891596433022289e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.016999999999676 y2[1] (analytic) = 0.2321954536819419 y2[1] (numeric) = 0.2321954536815453 absolute error = 3.965994199717215e-13 relative error = 1.708041280235305e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2321954536819419 y1[1] (numeric) = 0.2321954536817354 absolute error = 2.065569937315104e-13 relative error = 8.89582420569049e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.017999999999676 y2[1] (analytic) = 0.2315551535420623 y2[1] (numeric) = 0.231555153541666 absolute error = 3.96266353064334e-13 relative error = 1.711325992977097e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2315551535420623 y1[1] (numeric) = 0.2315551535418562 absolute error = 2.060851489460447e-13 relative error = 8.900045876483118e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.018999999999677 y2[1] (analytic) = 0.2309156218469651 y2[1] (numeric) = 0.2309156218465692 absolute error = 3.959332861569465e-13 relative error = 1.714623216004605e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2309156218469651 y1[1] (numeric) = 0.2309156218467595 absolute error = 2.05613304160579e-13 relative error = 8.904261327838845e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.019999999999677 y2[1] (analytic) = 0.230276859236182 y2[1] (numeric) = 0.2302768592357864 absolute error = 3.956002192495589e-13 relative error = 1.71793301576957e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.230276859236182 y1[1] (numeric) = 0.2302768592359768 absolute error = 2.051414593751133e-13 relative error = 8.908470440996908e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.020999999999677 y2[1] (analytic) = 0.2296388663484755 y2[1] (numeric) = 0.2296388663480802 absolute error = 3.95294907917787e-13 relative error = 1.721376325373117e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2296388663484755 y1[1] (numeric) = 0.2296388663482708 absolute error = 2.046973701652632e-13 relative error = 8.913881757917944e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.021999999999678 y2[1] (analytic) = 0.2290016438218384 y2[1] (numeric) = 0.2290016438214434 absolute error = 3.949618410103994e-13 relative error = 1.724711816119874e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2290016438218384 y1[1] (numeric) = 0.2290016438216342 absolute error = 2.042255253797975e-13 relative error = 8.918081196774443e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.022999999999678 y2[1] (analytic) = 0.2283651922934933 y2[1] (numeric) = 0.2283651922930986 absolute error = 3.946842852542432e-13 relative error = 1.728303167791866e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2283651922934933 y1[1] (numeric) = 0.2283651922932895 absolute error = 2.037814361699475e-13 relative error = 8.923489351566724e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.023999999999679 y2[1] (analytic) = 0.2277295123998916 y2[1] (numeric) = 0.2277295123994972 absolute error = 3.943789739224712e-13 relative error = 1.73178684557118e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2277295123998916 y1[1] (numeric) = 0.2277295123996883 absolute error = 2.033095913844818e-13 relative error = 8.927678685205782e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.024999999999679 y2[1] (analytic) = 0.2270946047767131 y2[1] (numeric) = 0.227094604776319 absolute error = 3.940736625906993e-13 relative error = 1.735284125213655e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2270946047767131 y1[1] (numeric) = 0.2270946047765103 absolute error = 2.028377465990161e-13 relative error = 8.931861098085217e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.025999999999679 y2[1] (analytic) = 0.2264604700588654 y2[1] (numeric) = 0.2264604700584717 absolute error = 3.937405956833118e-13 relative error = 1.738672517905505e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2264604700588654 y1[1] (numeric) = 0.2264604700586631 absolute error = 2.023659018135504e-13 relative error = 8.93603646415412e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.02699999999968 y2[1] (analytic) = 0.2258271088804833 y2[1] (numeric) = 0.2258271088800898 absolute error = 3.934352843515398e-13 relative error = 1.742196879293892e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2258271088804833 y1[1] (numeric) = 0.2258271088802813 absolute error = 2.019218126037003e-13 relative error = 8.94143371912738e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.02799999999968 y2[1] (analytic) = 0.2251945218749277 y2[1] (numeric) = 0.2251945218745346 absolute error = 3.931299730197679e-13 relative error = 1.74573506383122e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2251945218749277 y1[1] (numeric) = 0.2251945218747262 absolute error = 2.014499678182347e-13 relative error = 8.94559806077873e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.02899999999968 y2[1] (analytic) = 0.2245627096747857 y2[1] (numeric) = 0.2245627096743929 absolute error = 3.927969061123804e-13 relative error = 1.749163548486004e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2245627096747857 y1[1] (numeric) = 0.2245627096745847 absolute error = 2.00978123032769e-13 relative error = 8.949754984869385e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.029999999999681 y2[1] (analytic) = 0.2239316729118694 y2[1] (numeric) = 0.2239316729114769 absolute error = 3.925193503562241e-13 relative error = 1.752853204069547e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2239316729118694 y1[1] (numeric) = 0.2239316729116688 absolute error = 2.005340338229189e-13 relative error = 8.955143826476085e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.030999999999681 y2[1] (analytic) = 0.2233014122172155 y2[1] (numeric) = 0.2233014122168233 absolute error = 3.921862834488365e-13 relative error = 1.756309015490413e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2233014122172155 y1[1] (numeric) = 0.2233014122170154 absolute error = 2.000621890374532e-13 relative error = 8.959289018864045e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.031999999999681 y2[1] (analytic) = 0.2226719282210846 y2[1] (numeric) = 0.2226719282206928 absolute error = 3.918809721170646e-13 relative error = 1.759902899515817e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2226719282210846 y1[1] (numeric) = 0.222671928220885 absolute error = 1.996180998276031e-13 relative error = 8.964672889948121e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.032999999999682 y2[1] (analytic) = 0.2220432215529608 y2[1] (numeric) = 0.2220432215525692 absolute error = 3.915756607852927e-13 relative error = 1.763510986944926e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2220432215529608 y1[1] (numeric) = 0.2220432215527617 absolute error = 1.991462550421375e-13 relative error = 8.968805877041283e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.033999999999682 y2[1] (analytic) = 0.2214152928415506 y2[1] (numeric) = 0.2214152928411593 absolute error = 3.912703494535208e-13 relative error = 1.767133355750282e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2214152928415506 y1[1] (numeric) = 0.2214152928413519 absolute error = 1.987021658322874e-13 relative error = 8.974184361081275e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.034999999999682 y2[1] (analytic) = 0.2207881427147827 y2[1] (numeric) = 0.2207881427143917 absolute error = 3.909650381217489e-13 relative error = 1.770770084455138e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2207881427147827 y1[1] (numeric) = 0.2207881427145844 absolute error = 1.982580766224373e-13 relative error = 8.979561772868845e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.035999999999683 y2[1] (analytic) = 0.2201617717998071 y2[1] (numeric) = 0.2201617717994164 absolute error = 3.90659726789977e-13 relative error = 1.774421252138194e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2201617717998071 y1[1] (numeric) = 0.2201617717996093 absolute error = 1.978139874125873e-13 relative error = 8.984938020596027e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.036999999999683 y2[1] (analytic) = 0.2195361807229947 y2[1] (numeric) = 0.2195361807226044 absolute error = 3.90354415458205e-13 relative error = 1.778086938438382e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2195361807229947 y1[1] (numeric) = 0.2195361807227974 absolute error = 1.973421426271216e-13 relative error = 8.989048728880046e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.037999999999683 y2[1] (analytic) = 0.2189113701099366 y2[1] (numeric) = 0.2189113701095465 absolute error = 3.900491041264331e-13 relative error = 1.781767223559707e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2189113701099366 y1[1] (numeric) = 0.2189113701097397 absolute error = 1.968702978416559e-13 relative error = 8.993150869358145e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.038999999999684 y2[1] (analytic) = 0.2182873405854432 y2[1] (numeric) = 0.2182873405850535 absolute error = 3.897437927946612e-13 relative error = 1.785462188276125e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2182873405854432 y1[1] (numeric) = 0.2182873405852468 absolute error = 1.963984530561902e-13 relative error = 8.997244298705211e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.039999999999684 y2[1] (analytic) = 0.2176640927735442 y2[1] (numeric) = 0.2176640927731547 absolute error = 3.894384814628893e-13 relative error = 1.789171913936479e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2176640927735442 y1[1] (numeric) = 0.2176640927733483 absolute error = 1.959266082707245e-13 relative error = 9.001328872124298e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.040999999999684 y2[1] (analytic) = 0.2170416272974872 y2[1] (numeric) = 0.217041627297098 absolute error = 3.891331701311174e-13 relative error = 1.792896482469483e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2170416272974872 y1[1] (numeric) = 0.2170416272972917 absolute error = 1.954825190608744e-13 relative error = 9.006683256799267e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.041999999999685 y2[1] (analytic) = 0.2164199447797376 y2[1] (numeric) = 0.2164199447793488 absolute error = 3.888278587993454e-13 relative error = 1.796635976388761e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2164199447797376 y1[1] (numeric) = 0.2164199447795426 absolute error = 1.950106742754087e-13 relative error = 9.010753351493634e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.042999999999685 y2[1] (analytic) = 0.2157990458419779 y2[1] (numeric) = 0.2157990458415894 absolute error = 3.885225474675735e-13 relative error = 1.800390478797923e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2157990458419779 y1[1] (numeric) = 0.2157990458417834 absolute error = 1.945388294899431e-13 relative error = 9.014814163376654e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.043999999999685 y2[1] (analytic) = 0.2151789311051071 y2[1] (numeric) = 0.2151789311047189 absolute error = 3.882172361358016e-13 relative error = 1.804160073395716e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2151789311051071 y1[1] (numeric) = 0.215178931104913 absolute error = 1.940669847044774e-13 relative error = 9.018865541705042e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.044999999999686 y2[1] (analytic) = 0.2145596011892398 y2[1] (numeric) = 0.2145596011888518 absolute error = 3.879396803796453e-13 relative error = 1.808074205159833e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2145596011892398 y1[1] (numeric) = 0.2145596011890461 absolute error = 1.936228954946273e-13 relative error = 9.024200940970875e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.045999999999686 y2[1] (analytic) = 0.2139410567137058 y2[1] (numeric) = 0.2139410567133181 absolute error = 3.876343690478734e-13 relative error = 1.811874611644097e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2139410567137058 y1[1] (numeric) = 0.2139410567135126 absolute error = 1.931510507091616e-13 relative error = 9.028236733804434e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.046999999999686 y2[1] (analytic) = 0.2133232982970495 y2[1] (numeric) = 0.2133232982966622 absolute error = 3.873290577161015e-13 relative error = 1.81569036672568e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2133232982970495 y1[1] (numeric) = 0.2133232982968568 absolute error = 1.927069614993115e-13 relative error = 9.033563752186596e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.047999999999687 y2[1] (analytic) = 0.2127063265570295 y2[1] (numeric) = 0.2127063265566425 absolute error = 3.870237463843296e-13 relative error = 1.819521556546477e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2127063265570295 y1[1] (numeric) = 0.2127063265568372 absolute error = 1.922351167138459e-13 relative error = 9.037583405508392e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.048999999999687 y2[1] (analytic) = 0.2120901421106173 y2[1] (numeric) = 0.2120901421102305 absolute error = 3.867461906281733e-13 relative error = 1.82349913475216e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2120901421106173 y1[1] (numeric) = 0.2120901421104255 absolute error = 1.917910275039958e-13 relative error = 9.04290155098136e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.049999999999687 y2[1] (analytic) = 0.2114747455739973 y2[1] (numeric) = 0.2114747455736108 absolute error = 3.864131237207857e-13 relative error = 1.827230588087293e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2114747455739973 y1[1] (numeric) = 0.2114747455738059 absolute error = 1.913191827185301e-13 relative error = 9.046904499127792e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.050999999999688 y2[1] (analytic) = 0.210860137562566 y2[1] (numeric) = 0.2108601375621799 absolute error = 3.861355679646294e-13 relative error = 1.831240235485743e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.210860137562566 y1[1] (numeric) = 0.2108601375623751 absolute error = 1.9087509350868e-13 relative error = 9.052213268714385e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.051999999999688 y2[1] (analytic) = 0.2102463186909314 y2[1] (numeric) = 0.2102463186905456 absolute error = 3.858302566328575e-13 relative error = 1.83513442249631e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2102463186909314 y1[1] (numeric) = 0.210246318690741 absolute error = 1.904032487232143e-13 relative error = 9.056198934123219e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.052999999999688 y2[1] (analytic) = 0.2096332895729123 y2[1] (numeric) = 0.2096332895725267 absolute error = 3.855527008767012e-13 relative error = 1.839176886753965e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2096332895729123 y1[1] (numeric) = 0.2096332895727223 absolute error = 1.899591595133643e-13 relative error = 9.061497813652102e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.053999999999689 y2[1] (analytic) = 0.2090210508215377 y2[1] (numeric) = 0.2090210508211525 absolute error = 3.852196339693137e-13 relative error = 1.842970516391741e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2090210508215377 y1[1] (numeric) = 0.2090210508213483 absolute error = 1.894873147278986e-13 relative error = 9.065465606604521e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.054999999999689 y2[1] (analytic) = 0.2084096030490465 y2[1] (numeric) = 0.2084096030486615 absolute error = 3.849143226375418e-13 relative error = 1.846912603863831e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2084096030490465 y1[1] (numeric) = 0.2084096030488574 absolute error = 1.890432255180485e-13 relative error = 9.070754070461892e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.055999999999689 y2[1] (analytic) = 0.2077989468668862 y2[1] (numeric) = 0.2077989468665015 absolute error = 3.846367668813855e-13 relative error = 1.851004409217626e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2077989468668862 y1[1] (numeric) = 0.2077989468666976 absolute error = 1.885991363081985e-13 relative error = 9.076039082575962e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.05699999999969 y2[1] (analytic) = 0.207189082885713 y2[1] (numeric) = 0.2071890828853287 absolute error = 3.843314555496136e-13 relative error = 1.854979278814674e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.207189082885713 y1[1] (numeric) = 0.2071890828855249 absolute error = 1.881272915227328e-13 relative error = 9.079980899693695e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.05799999999969 y2[1] (analytic) = 0.2065800117153909 y2[1] (numeric) = 0.2065800117150068 absolute error = 3.840538997934573e-13 relative error = 1.859104840804131e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2065800117153909 y1[1] (numeric) = 0.2065800117152032 absolute error = 1.876832023128827e-13 relative error = 9.085254703705668e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.05899999999969 y2[1] (analytic) = 0.2059717339649909 y2[1] (numeric) = 0.2059717339646072 absolute error = 3.837208328860697e-13 relative error = 1.862978115974354e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2059717339649909 y1[1] (numeric) = 0.2059717339648037 absolute error = 1.87211357527417e-13 relative error = 9.089177137249201e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.059999999999691 y2[1] (analytic) = 0.2053642502427908 y2[1] (numeric) = 0.2053642502424074 absolute error = 3.834432771299134e-13 relative error = 1.867137423756031e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2053642502427908 y1[1] (numeric) = 0.205364250242604 absolute error = 1.867950238931826e-13 relative error = 9.095790707114073e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.060999999999691 y2[1] (analytic) = 0.2047575611562743 y2[1] (numeric) = 0.2047575611558911 absolute error = 3.831379657981415e-13 relative error = 1.871178595967572e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2047575611562743 y1[1] (numeric) = 0.204757561156088 absolute error = 1.863231791077169e-13 relative error = 9.09969712744879e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.061999999999691 y2[1] (analytic) = 0.2041516673121303 y2[1] (numeric) = 0.2041516673117474 absolute error = 3.828604100419852e-13 relative error = 1.875372437966057e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2041516673121303 y1[1] (numeric) = 0.2041516673119444 absolute error = 1.858790898978668e-13 relative error = 9.10495086056161e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.062999999999692 y2[1] (analytic) = 0.2035465693162527 y2[1] (numeric) = 0.2035465693158701 absolute error = 3.825550987102133e-13 relative error = 1.879447538689945e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2035465693162527 y1[1] (numeric) = 0.2035465693160673 absolute error = 1.854072451124011e-13 relative error = 9.108836652723522e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.063999999999692 y2[1] (analytic) = 0.2029422677737394 y2[1] (numeric) = 0.2029422677733571 absolute error = 3.82277542954057e-13 relative error = 1.88367631419325e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2029422677737394 y1[1] (numeric) = 0.2029422677735544 absolute error = 1.849631559025511e-13 relative error = 9.114077512367544e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.064999999999692 y2[1] (analytic) = 0.2023387632888919 y2[1] (numeric) = 0.2023387632885099 absolute error = 3.819722316222851e-13 relative error = 1.887785738202418e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2023387632888919 y1[1] (numeric) = 0.2023387632887074 absolute error = 1.84519066692701e-13 relative error = 9.119313753502163e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.065999999999693 y2[1] (analytic) = 0.2017360564652146 y2[1] (numeric) = 0.2017360564648329 absolute error = 3.816669202905132e-13 relative error = 1.891912268823021e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2017360564652146 y1[1] (numeric) = 0.2017360564650306 absolute error = 1.840472219072353e-13 relative error = 9.123169409181477e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.066999999999693 y2[1] (analytic) = 0.2011341479054144 y2[1] (numeric) = 0.201134147905033 absolute error = 3.813893645343569e-13 relative error = 1.896194000402704e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2011341479054144 y1[1] (numeric) = 0.2011341479052308 absolute error = 1.836308882730009e-13 relative error = 9.129771855515822e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.067999999999693 y2[1] (analytic) = 0.2005330382113997 y2[1] (numeric) = 0.2005330382110186 absolute error = 3.81084053202585e-13 relative error = 1.900355455647415e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.2005330382113997 y1[1] (numeric) = 0.2005330382112165 absolute error = 1.831867990631508e-13 relative error = 9.134993450308042e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.068999999999694 y2[1] (analytic) = 0.1999327279842801 y2[1] (numeric) = 0.1999327279838993 absolute error = 3.807787418708131e-13 relative error = 1.904534318667188e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1999327279842801 y1[1] (numeric) = 0.1999327279840974 absolute error = 1.827149542776851e-13 relative error = 9.138821648652304e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.069999999999694 y2[1] (analytic) = 0.1993332178243659 y2[1] (numeric) = 0.1993332178239854 absolute error = 3.805011861146568e-13 relative error = 1.908869932807283e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1993332178243659 y1[1] (numeric) = 0.1993332178241836 absolute error = 1.822986206434507e-13 relative error = 9.145421050899579e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.070999999999694 y2[1] (analytic) = 0.1987345083311672 y2[1] (numeric) = 0.198734508330787 absolute error = 3.801958747828849e-13 relative error = 1.913084335355258e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1987345083311672 y1[1] (numeric) = 0.1987345083309853 absolute error = 1.818545314336006e-13 relative error = 9.150626781462731e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.071999999999695 y2[1] (analytic) = 0.1981366001033933 y2[1] (numeric) = 0.1981366001030134 absolute error = 3.798905634511129e-13 relative error = 1.917316453663156e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1981366001033933 y1[1] (numeric) = 0.1981366001032119 absolute error = 1.814104422237506e-13 relative error = 9.155826946111192e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.072999999999695 y2[1] (analytic) = 0.1975394937389525 y2[1] (numeric) = 0.1975394937385729 absolute error = 3.796130076949567e-13 relative error = 1.921706897743767e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1975394937389525 y1[1] (numeric) = 0.1975394937387716 absolute error = 1.809663530139005e-13 relative error = 9.161021403297037e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.073999999999695 y2[1] (analytic) = 0.1969431898349511 y2[1] (numeric) = 0.1969431898345718 absolute error = 3.793076963631847e-13 relative error = 1.925975184422801e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1969431898349511 y1[1] (numeric) = 0.1969431898347706 absolute error = 1.805222638040505e-13 relative error = 9.166210009868212e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.074999999999696 y2[1] (analytic) = 0.196347688987693 y2[1] (numeric) = 0.196347688987314 absolute error = 3.790023850314128e-13 relative error = 1.930261501856376e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.196347688987693 y1[1] (numeric) = 0.1963476889875129 absolute error = 1.800781745942004e-13 relative error = 9.171392621050286e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.075999999999696 y2[1] (analytic) = 0.1957529917926789 y2[1] (numeric) = 0.1957529917923002 absolute error = 3.787248292752565e-13 relative error = 1.934707744729451e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1957529917926789 y1[1] (numeric) = 0.1957529917924992 absolute error = 1.796340853843503e-13 relative error = 9.176569090428001e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.076999999999696 y2[1] (analytic) = 0.1951590988446059 y2[1] (numeric) = 0.1951590988442275 absolute error = 3.784195179434846e-13 relative error = 1.939030873701659e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1951590988446059 y1[1] (numeric) = 0.1951590988444268 absolute error = 1.791622405988846e-13 relative error = 9.18031706743744e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.077999999999697 y2[1] (analytic) = 0.1945660107373671 y2[1] (numeric) = 0.194566010736989 absolute error = 3.781419621873283e-13 relative error = 1.943515009400893e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1945660107373671 y1[1] (numeric) = 0.1945660107371884 absolute error = 1.787181513890346e-13 relative error = 9.18547647205839e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.078999999999697 y2[1] (analytic) = 0.1939737280640504 y2[1] (numeric) = 0.1939737280636726 absolute error = 3.778366508555564e-13 relative error = 1.947875388211306e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1939737280640504 y1[1] (numeric) = 0.1939737280638722 absolute error = 1.782463066035689e-13 relative error = 9.189198371478002e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.079999999999697 y2[1] (analytic) = 0.1933822514169385 y2[1] (numeric) = 0.193382251416561 absolute error = 3.775590950994001e-13 relative error = 1.95239786657241e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1933822514169385 y1[1] (numeric) = 0.1933822514167607 absolute error = 1.778299729693344e-13 relative error = 9.195775293045232e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.080999999999698 y2[1] (analytic) = 0.192791581387508 y2[1] (numeric) = 0.1927915813871307 absolute error = 3.772537837676282e-13 relative error = 1.956795940219787e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.192791581387508 y1[1] (numeric) = 0.1927915813873306 absolute error = 1.773858837594844e-13 relative error = 9.200914401077589e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.081999999999698 y2[1] (analytic) = 0.1922017185664287 y2[1] (numeric) = 0.1922017185660518 absolute error = 3.769484724358563e-13 relative error = 1.961212809372334e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1922017185664287 y1[1] (numeric) = 0.1922017185662518 absolute error = 1.769140389740187e-13 relative error = 9.204602346616047e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.082999999999698 y2[1] (analytic) = 0.1916126635435637 y2[1] (numeric) = 0.191612663543187 absolute error = 3.766709166797e-13 relative error = 1.965793438250822e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1916126635435637 y1[1] (numeric) = 0.1916126635433872 absolute error = 1.764977053397843e-13 relative error = 9.211171228234456e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.083999999999699 y2[1] (analytic) = 0.1910244169079676 y2[1] (numeric) = 0.1910244169075913 absolute error = 3.763656053479281e-13 relative error = 1.97024868045667e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1910244169079676 y1[1] (numeric) = 0.1910244169077916 absolute error = 1.760536161299342e-13 relative error = 9.216288628419365e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.084999999999699 y2[1] (analytic) = 0.1904369792478873 y2[1] (numeric) = 0.1904369792475112 absolute error = 3.760880495917718e-13 relative error = 1.974868804772559e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1904369792478873 y1[1] (numeric) = 0.1904369792477117 absolute error = 1.756095269200841e-13 relative error = 9.221398470698139e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.085999999999699 y2[1] (analytic) = 0.1898503511507603 y2[1] (numeric) = 0.1898503511503845 absolute error = 3.758104938356155e-13 relative error = 1.979509079428482e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1898503511507603 y1[1] (numeric) = 0.1898503511505851 absolute error = 1.751654377102341e-13 relative error = 9.226500591043683e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.0869999999997 y2[1] (analytic) = 0.1892645332032146 y2[1] (numeric) = 0.1892645332028391 absolute error = 3.755329380794592e-13 relative error = 1.984169626098129e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1892645332032146 y1[1] (numeric) = 0.1892645332030399 absolute error = 1.74721348500384e-13 relative error = 9.23159482356816e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.0879999999997 y2[1] (analytic) = 0.1886795259910681 y2[1] (numeric) = 0.1886795259906929 absolute error = 3.752276267476873e-13 relative error = 1.988703463063873e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1886795259910681 y1[1] (numeric) = 0.1886795259908939 absolute error = 1.742772592905339e-13 relative error = 9.236681000501562e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.0889999999997 y2[1] (analytic) = 0.1880953300993281 y2[1] (numeric) = 0.1880953300989531 absolute error = 3.74950070991531e-13 relative error = 1.993404465669243e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1880953300993281 y1[1] (numeric) = 0.1880953300991542 absolute error = 1.738331700806839e-13 relative error = 9.241758952170012e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.089999999999701 y2[1] (analytic) = 0.1875119461121902 y2[1] (numeric) = 0.1875119461118156 absolute error = 3.746447596597591e-13 relative error = 1.997978088476589e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1875119461121902 y1[1] (numeric) = 0.1875119461120169 absolute error = 1.733613252952182e-13 relative error = 9.24534830391523e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.090999999999701 y2[1] (analytic) = 0.1869293746130386 y2[1] (numeric) = 0.1869293746126642 absolute error = 3.743672039036028e-13 relative error = 2.002720036262776e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1869293746130386 y1[1] (numeric) = 0.1869293746128657 absolute error = 1.729172360853681e-13 relative error = 9.25040467520544e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.091999999999701 y2[1] (analytic) = 0.1863476161844446 y2[1] (numeric) = 0.1863476161840705 absolute error = 3.741174037230621e-13 relative error = 2.007631819409835e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1863476161844446 y1[1] (numeric) = 0.1863476161842721 absolute error = 1.725009024511337e-13 relative error = 9.256941729825746e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.092999999999702 y2[1] (analytic) = 0.1857666714081666 y2[1] (numeric) = 0.1857666714077928 absolute error = 3.738120923912902e-13 relative error = 2.012266729858932e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1857666714081666 y1[1] (numeric) = 0.1857666714079946 absolute error = 1.72029057665668e-13 relative error = 9.260490935302689e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.093999999999702 y2[1] (analytic) = 0.1851865408651494 y2[1] (numeric) = 0.1851865408647758 absolute error = 3.735345366351339e-13 relative error = 2.017071731509567e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1851865408651494 y1[1] (numeric) = 0.1851865408649778 absolute error = 1.715849684558179e-13 relative error = 9.265520466779716e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.094999999999702 y2[1] (analytic) = 0.1846072251355233 y2[1] (numeric) = 0.1846072251351501 absolute error = 3.732569808789776e-13 relative error = 2.021898008623245e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1846072251355233 y1[1] (numeric) = 0.1846072251353522 absolute error = 1.711408792459679e-13 relative error = 9.270540690936144e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.095999999999703 y2[1] (analytic) = 0.1840287247986042 y2[1] (numeric) = 0.1840287247982313 absolute error = 3.729794251228213e-13 relative error = 2.026745691635908e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1840287247986042 y1[1] (numeric) = 0.1840287247984335 absolute error = 1.707245456117334e-13 relative error = 9.277059643736025e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.096999999999703 y2[1] (analytic) = 0.1834510404328923 y2[1] (numeric) = 0.1834510404325196 absolute error = 3.727018693666651e-13 relative error = 2.03161491200701e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1834510404328923 y1[1] (numeric) = 0.1834510404327221 absolute error = 1.702804564018834e-13 relative error = 9.282065449183057e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.097999999999703 y2[1] (analytic) = 0.1828741726160719 y2[1] (numeric) = 0.1828741726156995 absolute error = 3.723965580348931e-13 relative error = 2.036354028060084e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1828741726160719 y1[1] (numeric) = 0.1828741726159021 absolute error = 1.698363671920333e-13 relative error = 9.287061412908737e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.098999999999704 y2[1] (analytic) = 0.1822981219250109 y2[1] (numeric) = 0.1822981219246387 absolute error = 3.721190022787368e-13 relative error = 2.041266242072475e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1822981219250109 y1[1] (numeric) = 0.1822981219248415 absolute error = 1.693922779821833e-13 relative error = 9.292047344945415e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.099999999999704 y2[1] (analytic) = 0.1817228889357597 y2[1] (numeric) = 0.1817228889353878 absolute error = 3.718692020981962e-13 relative error = 2.04635312742389e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1817228889357597 y1[1] (numeric) = 0.1817228889355907 absolute error = 1.689759443479488e-13 relative error = 9.298550410327396e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.100999999999704 y2[1] (analytic) = 0.1811484742235514 y2[1] (numeric) = 0.1811484742231798 absolute error = 3.715916463420399e-13 relative error = 2.051309832637434e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1811484742235514 y1[1] (numeric) = 0.1811484742233829 absolute error = 1.685318551380988e-13 relative error = 9.303520543602108e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.101999999999705 y2[1] (analytic) = 0.1805748783628007 y2[1] (numeric) = 0.1805748783624294 absolute error = 3.713140905858836e-13 relative error = 2.056288748204834e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1805748783628007 y1[1] (numeric) = 0.1805748783626326 absolute error = 1.681155215038643e-13 relative error = 9.310017153443473e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.102999999999705 y2[1] (analytic) = 0.1800021019271033 y2[1] (numeric) = 0.1800021019267323 absolute error = 3.710365348297273e-13 relative error = 2.061290011935464e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1800021019271033 y1[1] (numeric) = 0.1800021019269356 absolute error = 1.676714322940143e-13 relative error = 9.314970797503094e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.103999999999705 y2[1] (analytic) = 0.1794301454892357 y2[1] (numeric) = 0.1794301454888649 absolute error = 3.70758979073571e-13 relative error = 2.066313762732882e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1794301454892357 y1[1] (numeric) = 0.1794301454890684 absolute error = 1.672273430841642e-13 relative error = 9.319913475419684e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.104999999999706 y2[1] (analytic) = 0.1788590096211541 y2[1] (numeric) = 0.1788590096207837 absolute error = 3.704814233174147e-13 relative error = 2.071360140605391e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1788590096211541 y1[1] (numeric) = 0.1788590096209874 absolute error = 1.667832538743141e-13 relative error = 9.324844984190734e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.105999999999706 y2[1] (analytic) = 0.1782886948939946 y2[1] (numeric) = 0.1782886948936244 absolute error = 3.702038675612584e-13 relative error = 2.076429286676708e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1782886948939946 y1[1] (numeric) = 0.1782886948938282 absolute error = 1.663391646644641e-13 relative error = 9.32976511849866e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.106999999999706 y2[1] (analytic) = 0.1777192018780716 y2[1] (numeric) = 0.1777192018777017 absolute error = 3.699263118051022e-13 relative error = 2.081521343196773e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1777192018780716 y1[1] (numeric) = 0.1777192018779057 absolute error = 1.65895075454614e-13 relative error = 9.334673670683608e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.107999999999707 y2[1] (analytic) = 0.1771505311428783 y2[1] (numeric) = 0.1771505311425086 absolute error = 3.696487560489459e-13 relative error = 2.086636453552661e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1771505311428783 y1[1] (numeric) = 0.1771505311427128 absolute error = 1.65450986244764e-13 relative error = 9.339570430715885e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.108999999999707 y2[1] (analytic) = 0.1765826832570853 y2[1] (numeric) = 0.1765826832567159 absolute error = 3.693989558684052e-13 relative error = 2.091931944032136e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1765826832570853 y1[1] (numeric) = 0.1765826832569202 absolute error = 1.650346526105295e-13 relative error = 9.346027003693048e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.109999999999707 y2[1] (analytic) = 0.1760156587885403 y2[1] (numeric) = 0.1760156587881712 absolute error = 3.691214001122489e-13 relative error = 2.097094103176921e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1760156587885403 y1[1] (numeric) = 0.1760156587883757 absolute error = 1.645905634006795e-13 relative error = 9.35090460323268e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.110999999999708 y2[1] (analytic) = 0.1754494583042679 y2[1] (numeric) = 0.1754494583038991 absolute error = 3.688438443560926e-13 relative error = 2.102279755782639e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1754494583042679 y1[1] (numeric) = 0.1754494583041038 absolute error = 1.641464741908294e-13 relative error = 9.355769791330065e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.111999999999708 y2[1] (analytic) = 0.1748840823704686 y2[1] (numeric) = 0.1748840823701 absolute error = 3.68594044175552e-13 relative error = 2.107647758329056e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1748840823704686 y1[1] (numeric) = 0.1748840823703048 absolute error = 1.63730140556595e-13 relative error = 9.362209432517393e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.112999999999708 y2[1] (analytic) = 0.174319531552518 y2[1] (numeric) = 0.1743195315521497 absolute error = 3.682887328437801e-13 relative error = 2.112722134827583e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.174319531552518 y1[1] (numeric) = 0.1743195315523547 absolute error = 1.632860513467449e-13 relative error = 9.367054276276033e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.113999999999709 y2[1] (analytic) = 0.1737558064149672 y2[1] (numeric) = 0.1737558064145991 absolute error = 3.680111770876238e-13 relative error = 2.117979160988335e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1737558064149672 y1[1] (numeric) = 0.1737558064148043 absolute error = 1.628697177125105e-13 relative error = 9.373483457786825e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.114999999999709 y2[1] (analytic) = 0.173192907521541 y2[1] (numeric) = 0.1731929075211733 absolute error = 3.677336213314675e-13 relative error = 2.123260280076598e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.173192907521541 y1[1] (numeric) = 0.1731929075213786 absolute error = 1.62453384078276e-13 relative error = 9.37990974359448e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.115999999999709 y2[1] (analytic) = 0.1726308354351384 y2[1] (numeric) = 0.172630835434771 absolute error = 3.674560655753112e-13 relative error = 2.128565645002473e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1726308354351384 y1[1] (numeric) = 0.1726308354349764 absolute error = 1.62009294868426e-13 relative error = 9.384725183079865e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.11699999999971 y2[1] (analytic) = 0.1720695907178315 y2[1] (numeric) = 0.1720695907174643 absolute error = 3.671785098191549e-13 relative error = 2.13389540991745e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1720695907178315 y1[1] (numeric) = 0.1720695907176699 absolute error = 1.615929612341915e-13 relative error = 9.391139977730286e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.11799999999971 y2[1] (analytic) = 0.1715091739308648 y2[1] (numeric) = 0.1715091739304979 absolute error = 3.669009540629986e-13 relative error = 2.139249730226653e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1715091739308648 y1[1] (numeric) = 0.1715091739307037 absolute error = 1.611488720243415e-13 relative error = 9.395933076402107e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.11899999999971 y2[1] (analytic) = 0.1709495856346552 y2[1] (numeric) = 0.1709495856342886 absolute error = 3.666233983068423e-13 relative error = 2.144628762601223e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1709495856346552 y1[1] (numeric) = 0.1709495856344945 absolute error = 1.607047828144914e-13 relative error = 9.400712041381695e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.119999999999711 y2[1] (analytic) = 0.1703908263887908 y2[1] (numeric) = 0.1703908263884245 absolute error = 3.66345842550686e-13 relative error = 2.150032664990855e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1703908263887908 y1[1] (numeric) = 0.1703908263886305 absolute error = 1.60288449180257e-13 relative error = 9.407105568847782e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.120999999999711 y2[1] (analytic) = 0.1698328967520309 y2[1] (numeric) = 0.1698328967516649 absolute error = 3.660682867945297e-13 relative error = 2.155461596636472e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1698328967520309 y1[1] (numeric) = 0.1698328967518711 absolute error = 1.598721155460225e-13 relative error = 9.413495182823625e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.121999999999711 y2[1] (analytic) = 0.1692757972823051 y2[1] (numeric) = 0.1692757972819393 absolute error = 3.657907310383735e-13 relative error = 2.160915718083052e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1692757972823051 y1[1] (numeric) = 0.1692757972821457 absolute error = 1.594280263361725e-13 relative error = 9.418241053698345e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.122999999999712 y2[1] (analytic) = 0.1687195285367128 y2[1] (numeric) = 0.1687195285363473 absolute error = 3.655131752822172e-13 relative error = 2.1663951911926e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1687195285367128 y1[1] (numeric) = 0.1687195285365538 absolute error = 1.589839371263224e-13 relative error = 9.42297186965693e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.123999999999712 y2[1] (analytic) = 0.1681640910715227 y2[1] (numeric) = 0.1681640910711574 absolute error = 3.652356195260609e-13 relative error = 2.171900179157278e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1681640910715227 y1[1] (numeric) = 0.1681640910713641 absolute error = 1.58567603492088e-13 relative error = 9.42933788549702e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.124999999999712 y2[1] (analytic) = 0.1676094854421722 y2[1] (numeric) = 0.1676094854418072 absolute error = 3.649858193455202e-13 relative error = 2.177596443200382e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1676094854421722 y1[1] (numeric) = 0.167609485442014 absolute error = 1.581512698578535e-13 relative error = 9.435699264909334e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.125999999999713 y2[1] (analytic) = 0.1670557122032668 y2[1] (numeric) = 0.1670557122029021 absolute error = 3.647082635893639e-13 relative error = 2.183153504775708e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1670557122032668 y1[1] (numeric) = 0.1670557122031091 absolute error = 1.577071806480035e-13 relative error = 9.440394379098608e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.126999999999713 y2[1] (analytic) = 0.1665027719085799 y2[1] (numeric) = 0.1665027719082154 absolute error = 3.644307078332076e-13 relative error = 2.188736581714701e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1665027719085799 y1[1] (numeric) = 0.1665027719084226 absolute error = 1.572908470137691e-13 relative error = 9.44674044826901e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.127999999999713 y2[1] (analytic) = 0.1659506651110516 y2[1] (numeric) = 0.1659506651106874 absolute error = 3.64180907652667e-13 relative error = 2.19451309465354e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1659506651110516 y1[1] (numeric) = 0.1659506651108947 absolute error = 1.568745133795346e-13 relative error = 9.453081328390981e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.128999999999714 y2[1] (analytic) = 0.1653993923627886 y2[1] (numeric) = 0.1653993923624247 absolute error = 3.639033518965107e-13 relative error = 2.200149267164909e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1653993923627886 y1[1] (numeric) = 0.1653993923626322 absolute error = 1.564304241696846e-13 relative error = 9.45773874589385e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.129999999999714 y2[1] (analytic) = 0.1648489542150638 y2[1] (numeric) = 0.1648489542147002 absolute error = 3.6365355171597e-13 relative error = 2.205980337864585e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1648489542150638 y1[1] (numeric) = 0.1648489542149078 absolute error = 1.560140905354501e-13 relative error = 9.464063104210681e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.130999999999714 y2[1] (analytic) = 0.1642993512183152 y2[1] (numeric) = 0.1642993512179518 absolute error = 3.633759959598137e-13 relative error = 2.211670303414483e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1642993512183152 y1[1] (numeric) = 0.1642993512181596 absolute error = 1.555700013256001e-13 relative error = 9.46869236987334e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.131999999999715 y2[1] (analytic) = 0.1637505839221457 y2[1] (numeric) = 0.1637505839217825 absolute error = 3.631261957792731e-13 relative error = 2.21755664671046e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1637505839221457 y1[1] (numeric) = 0.1637505839219905 absolute error = 1.551814232669813e-13 relative error = 9.476694345148804e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.132999999999715 y2[1] (analytic) = 0.1632026528753225 y2[1] (numeric) = 0.1632026528749597 absolute error = 3.628486400231168e-13 relative error = 2.223301114475831e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1632026528753225 y1[1] (numeric) = 0.1632026528751678 absolute error = 1.547373340571312e-13 relative error = 9.481300170735682e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.133999999999715 y2[1] (analytic) = 0.1626555586257768 y2[1] (numeric) = 0.1626555586254142 absolute error = 3.625988398425761e-13 relative error = 2.229243457192943e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1626555586257768 y1[1] (numeric) = 0.1626555586256225 absolute error = 1.543210004228968e-13 relative error = 9.487594627979763e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.134999999999716 y2[1] (analytic) = 0.1621093017206027 y2[1] (numeric) = 0.1621093017202404 absolute error = 3.623212840864198e-13 relative error = 2.235043148300551e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1621093017206027 y1[1] (numeric) = 0.1621093017204488 absolute error = 1.539046667886623e-13 relative error = 9.493882532041181e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.135999999999716 y2[1] (analytic) = 0.161563882706057 y2[1] (numeric) = 0.161563882705695 absolute error = 3.620437283302635e-13 relative error = 2.240870436302597e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.161563882706057 y1[1] (numeric) = 0.1615638827059035 absolute error = 1.534605775788123e-13 relative error = 9.498445754612892e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.136999999999716 y2[1] (analytic) = 0.1610193021275588 y2[1] (numeric) = 0.161019302127197 absolute error = 3.617939281497229e-13 relative error = 2.246897877268847e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1610193021275588 y1[1] (numeric) = 0.1610193021274057 absolute error = 1.530442439445778e-13 relative error = 9.504714150564189e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.137999999999717 y2[1] (analytic) = 0.1604755605296885 y2[1] (numeric) = 0.160475560529327 absolute error = 3.615163723935666e-13 relative error = 2.25278149021754e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1604755605296885 y1[1] (numeric) = 0.1604755605295358 absolute error = 1.526279103103434e-13 relative error = 9.51097536637716e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.138999999999717 y2[1] (analytic) = 0.1599326584561877 y2[1] (numeric) = 0.1599326584558264 absolute error = 3.612665722130259e-13 relative error = 2.258866798690726e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1599326584561877 y1[1] (numeric) = 0.1599326584560355 absolute error = 1.52211576676109e-13 relative error = 9.517229197925583e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.139999999999717 y2[1] (analytic) = 0.1593905964499585 y2[1] (numeric) = 0.1593905964495975 absolute error = 3.610167720324853e-13 relative error = 2.264981624219145e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1593905964499585 y1[1] (numeric) = 0.1593905964498067 absolute error = 1.517952430418745e-13 relative error = 9.52347543849812e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.140999999999718 y2[1] (analytic) = 0.1588493750530627 y2[1] (numeric) = 0.158849375052702 absolute error = 3.60739216276329e-13 relative error = 2.270951435319315e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1588493750530627 y1[1] (numeric) = 0.1588493750529114 absolute error = 1.513789094076401e-13 relative error = 9.529713878765518e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.141999999999718 y2[1] (analytic) = 0.1583089948067218 y2[1] (numeric) = 0.1583089948063614 absolute error = 3.604616605201727e-13 relative error = 2.276949967121309e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1583089948067218 y1[1] (numeric) = 0.1583089948065709 absolute error = 1.5093482019779e-13 relative error = 9.534191053519424e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.142999999999718 y2[1] (analytic) = 0.157769456251316 y2[1] (numeric) = 0.1577694562509558 absolute error = 3.601841047640164e-13 relative error = 2.282977410977874e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.157769456251316 y1[1] (numeric) = 0.1577694562511655 absolute error = 1.505184865635556e-13 relative error = 9.540407258790947e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.143999999999719 y2[1] (analytic) = 0.1572307599263837 y2[1] (numeric) = 0.1572307599260238 absolute error = 3.599343045834758e-13 relative error = 2.289210487515285e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1572307599263837 y1[1] (numeric) = 0.1572307599262336 absolute error = 1.501299085049368e-13 relative error = 9.548380264474228e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.144999999999719 y2[1] (analytic) = 0.1566929063706213 y2[1] (numeric) = 0.1566929063702616 absolute error = 3.596567488273195e-13 relative error = 2.295296942011105e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1566929063706213 y1[1] (numeric) = 0.1566929063704716 absolute error = 1.496858192950867e-13 relative error = 9.552814020887397e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.145999999999719 y2[1] (analytic) = 0.1561558961218822 y2[1] (numeric) = 0.1561558961215228 absolute error = 3.594069486467788e-13 relative error = 2.301590638410834e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1561558961218822 y1[1] (numeric) = 0.156155896121733 absolute error = 1.492694856608523e-13 relative error = 9.559004134198367e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.14699999999972 y2[1] (analytic) = 0.1556197297171767 y2[1] (numeric) = 0.1556197297168176 absolute error = 3.591293928906225e-13 relative error = 2.307736901633901e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1556197297171767 y1[1] (numeric) = 0.1556197297170279 absolute error = 1.488531520266179e-13 relative error = 9.565185101988261e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.14799999999972 y2[1] (analytic) = 0.1550844076926711 y2[1] (numeric) = 0.1550844076923122 absolute error = 3.588795927100819e-13 relative error = 2.314092035746554e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1550844076926711 y1[1] (numeric) = 0.1550844076925227 absolute error = 1.484368183923834e-13 relative error = 9.571356695415754e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.14899999999972 y2[1] (analytic) = 0.1545499305836874 y2[1] (numeric) = 0.1545499305833288 absolute error = 3.586297925295412e-13 relative error = 2.32047850927598e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1545499305836874 y1[1] (numeric) = 0.1545499305835394 absolute error = 1.48020484758149e-13 relative error = 9.577518682740346e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.149999999999721 y2[1] (analytic) = 0.1540162989247027 y2[1] (numeric) = 0.1540162989243443 absolute error = 3.583799923490005e-13 relative error = 2.326896535308965e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1540162989247027 y1[1] (numeric) = 0.1540162989245551 absolute error = 1.476041511239146e-13 relative error = 9.583670829285218e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.150999999999721 y2[1] (analytic) = 0.1534835132493485 y2[1] (numeric) = 0.1534835132489904 absolute error = 3.581024365928442e-13 relative error = 2.333165491273795e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1534835132493485 y1[1] (numeric) = 0.1534835132492013 absolute error = 1.471878174896801e-13 relative error = 9.589812897399577e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.151999999999721 y2[1] (analytic) = 0.1529515740904106 y2[1] (numeric) = 0.1529515740900527 absolute error = 3.57824880836688e-13 relative error = 2.339465173631855e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1529515740904106 y1[1] (numeric) = 0.1529515740902638 absolute error = 1.467714838554457e-13 relative error = 9.595944646420455e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.152999999999722 y2[1] (analytic) = 0.1524204819798279 y2[1] (numeric) = 0.1524204819794704 absolute error = 3.575473250805317e-13 relative error = 2.345795790934785e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1524204819798279 y1[1] (numeric) = 0.1524204819796816 absolute error = 1.463551502212113e-13 relative error = 9.602065832634003e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.153999999999722 y2[1] (analytic) = 0.1518902374486927 y2[1] (numeric) = 0.1518902374483354 absolute error = 3.57297524899991e-13 relative error = 2.352340287970668e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1518902374486927 y1[1] (numeric) = 0.1518902374485468 absolute error = 1.459388165869768e-13 relative error = 9.608176209236211e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.154999999999722 y2[1] (analytic) = 0.1513608410272493 y2[1] (numeric) = 0.1513608410268923 absolute error = 3.570477247194503e-13 relative error = 2.35891742075595e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1513608410272493 y1[1] (numeric) = 0.1513608410271038 absolute error = 1.455224829527424e-13 relative error = 9.6142755262931e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.155999999999723 y2[1] (analytic) = 0.1508322932448942 y2[1] (numeric) = 0.1508322932445374 absolute error = 3.568256801145253e-13 relative error = 2.365711429814146e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1508322932448942 y1[1] (numeric) = 0.1508322932447491 absolute error = 1.451339048941236e-13 relative error = 9.622203692048979e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.156999999999723 y2[1] (analytic) = 0.1503045946301751 y2[1] (numeric) = 0.1503045946298186 absolute error = 3.56548124358369e-13 relative error = 2.372170493095415e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1503045946301751 y1[1] (numeric) = 0.1503045946300304 absolute error = 1.447175712598892e-13 relative error = 9.628286588042577e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.157999999999723 y2[1] (analytic) = 0.1497777457107906 y2[1] (numeric) = 0.1497777457104343 absolute error = 3.562705686022127e-13 relative error = 2.378661575599783e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1497777457107906 y1[1] (numeric) = 0.1497777457106463 absolute error = 1.443012376256547e-13 relative error = 9.634357690513613e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.158999999999724 y2[1] (analytic) = 0.1492517470135895 y2[1] (numeric) = 0.1492517470132334 absolute error = 3.560207684216721e-13 relative error = 2.385370861952163e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1492517470135895 y1[1] (numeric) = 0.1492517470134455 absolute error = 1.439126595670359e-13 relative error = 9.642276385142251e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.159999999999724 y2[1] (analytic) = 0.1487265990645704 y2[1] (numeric) = 0.1487265990642146 absolute error = 3.557709682411314e-13 relative error = 2.392113922316422e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1487265990645704 y1[1] (numeric) = 0.1487265990644269 absolute error = 1.434963259328015e-13 relative error = 9.648329675749649e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.160999999999724 y2[1] (analytic) = 0.1482023023888814 y2[1] (numeric) = 0.1482023023885259 absolute error = 3.554934124849751e-13 relative error = 2.39870370942122e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1482023023888814 y1[1] (numeric) = 0.1482023023887383 absolute error = 1.43079992298567e-13 relative error = 9.65437041073266e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.161999999999725 y2[1] (analytic) = 0.147678857510819 y2[1] (numeric) = 0.1476788575104638 absolute error = 3.552436123044345e-13 relative error = 2.405514359280639e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.147678857510819 y1[1] (numeric) = 0.1476788575106763 absolute error = 1.426914142399482e-13 relative error = 9.662277772530481e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.162999999999725 y2[1] (analytic) = 0.1471562649538281 y2[1] (numeric) = 0.1471562649534731 absolute error = 3.549938121238938e-13 relative error = 2.412359488977769e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1471562649538281 y1[1] (numeric) = 0.1471562649536858 absolute error = 1.422750806057138e-13 relative error = 9.668299249804568e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.163999999999725 y2[1] (analytic) = 0.1466345252405011 y2[1] (numeric) = 0.1466345252401464 absolute error = 3.547162563677375e-13 relative error = 2.41905005513506e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1466345252405011 y1[1] (numeric) = 0.1466345252403592 absolute error = 1.418587469714794e-13 relative error = 9.674307380121512e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.164999999999726 y2[1] (analytic) = 0.1461136388925778 y2[1] (numeric) = 0.1461136388922233 absolute error = 3.544664561871969e-13 relative error = 2.425964193854616e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1461136388925778 y1[1] (numeric) = 0.1461136388924363 absolute error = 1.414701689128606e-13 relative error = 9.682201469013371e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.165999999999726 y2[1] (analytic) = 0.1455936064309444 y2[1] (numeric) = 0.1455936064305902 absolute error = 3.542166560066562e-13 relative error = 2.432913537138477e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1455936064309444 y1[1] (numeric) = 0.1455936064308034 absolute error = 1.410538352786261e-13 relative error = 9.688188838534507e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.166999999999726 y2[1] (analytic) = 0.1450744283756334 y2[1] (numeric) = 0.1450744283752795 absolute error = 3.539668558261155e-13 relative error = 2.439898332114108e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1450744283756334 y1[1] (numeric) = 0.1450744283754928 absolute error = 1.406652572200073e-13 relative error = 9.696075234967692e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.167999999999727 y2[1] (analytic) = 0.1445561052458228 y2[1] (numeric) = 0.1445561052454691 absolute error = 3.537170556455749e-13 relative error = 2.446918828119134e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1445561052458228 y1[1] (numeric) = 0.1445561052456825 absolute error = 1.402489235857729e-13 relative error = 9.702040833714675e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.168999999999727 y2[1] (analytic) = 0.1440386375598356 y2[1] (numeric) = 0.1440386375594822 absolute error = 3.534672554650342e-13 relative error = 2.45397527672531e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1440386375598356 y1[1] (numeric) = 0.1440386375596958 absolute error = 1.398325899515385e-13 relative error = 9.707991711144177e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.169999999999727 y2[1] (analytic) = 0.1435220258351396 y2[1] (numeric) = 0.1435220258347864 absolute error = 3.532174552844936e-13 relative error = 2.461067931762795e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1435220258351396 y1[1] (numeric) = 0.1435220258350002 absolute error = 1.394440118929197e-13 relative error = 9.715861456212702e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.170999999999728 y2[1] (analytic) = 0.1430062705883464 y2[1] (numeric) = 0.1430062705879934 absolute error = 3.529398995283373e-13 relative error = 2.468002962921113e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1430062705883464 y1[1] (numeric) = 0.1430062705882073 absolute error = 1.390276782586852e-13 relative error = 9.721788959792274e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.171999999999728 y2[1] (analytic) = 0.1424913723352111 y2[1] (numeric) = 0.1424913723348584 absolute error = 3.527178549234122e-13 relative error = 2.475362887892209e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1424913723352111 y1[1] (numeric) = 0.1424913723350725 absolute error = 1.386391002000664e-13 relative error = 9.729648744902096e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.172999999999728 y2[1] (analytic) = 0.1419773315906321 y2[1] (numeric) = 0.1419773315902796 absolute error = 3.524402991672559e-13 relative error = 2.482370215151378e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1419773315906321 y1[1] (numeric) = 0.1419773315904939 absolute error = 1.38222766565832e-13 relative error = 9.73555179670331e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.173999999999729 y2[1] (analytic) = 0.1414641488686499 y2[1] (numeric) = 0.1414641488682978 absolute error = 3.521904989867153e-13 relative error = 2.489609571070375e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1414641488686499 y1[1] (numeric) = 0.1414641488685121 absolute error = 1.378064329315976e-13 relative error = 9.74143866369644e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.174999999999729 y2[1] (analytic) = 0.1409518246824474 y2[1] (numeric) = 0.1409518246820955 absolute error = 3.519406988061746e-13 relative error = 2.496886433354569e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1409518246824474 y1[1] (numeric) = 0.14095182468231 absolute error = 1.374178548729788e-13 relative error = 9.749278179446744e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.175999999999729 y2[1] (analytic) = 0.1404403595443486 y2[1] (numeric) = 0.1404403595439969 absolute error = 3.51690898625634e-13 relative error = 2.504201069882452e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1404403595443486 y1[1] (numeric) = 0.1404403595442116 absolute error = 1.370015212387443e-13 relative error = 9.755138884807658e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.17699999999973 y2[1] (analytic) = 0.1399297539658186 y2[1] (numeric) = 0.1399297539654671 absolute error = 3.514688540207089e-13 relative error = 2.511752104606459e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1399297539658186 y1[1] (numeric) = 0.139929753965682 absolute error = 1.366129431801255e-13 relative error = 9.762966010323772e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.17799999999973 y2[1] (analytic) = 0.139420008457463 y2[1] (numeric) = 0.1394200084571117 absolute error = 3.512190538401683e-13 relative error = 2.519143828249911e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.139420008457463 y1[1] (numeric) = 0.1394200084573268 absolute error = 1.361966095458911e-13 relative error = 9.768799403526406e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.17899999999973 y2[1] (analytic) = 0.1389111235290272 y2[1] (numeric) = 0.1389111235286762 absolute error = 3.509692536596276e-13 relative error = 2.526574148587088e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1389111235290272 y1[1] (numeric) = 0.1389111235288914 absolute error = 1.358080314872723e-13 relative error = 9.776613134864864e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.179999999999731 y2[1] (analytic) = 0.1384030996893961 y2[1] (numeric) = 0.1384030996890454 absolute error = 3.50719453479087e-13 relative error = 2.534043343437905e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1384030996893961 y1[1] (numeric) = 0.1384030996892607 absolute error = 1.353916978530378e-13 relative error = 9.782418035209006e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.180999999999731 y2[1] (analytic) = 0.1378959374465935 y2[1] (numeric) = 0.137895937446243 absolute error = 3.504974088741619e-13 relative error = 2.541752972308615e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1378959374465935 y1[1] (numeric) = 0.1378959374464585 absolute error = 1.35003119794419e-13 relative error = 9.790217340282786e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.181999999999731 y2[1] (analytic) = 0.1373896373077817 y2[1] (numeric) = 0.1373896373074314 absolute error = 3.502476086936213e-13 relative error = 2.549301501604469e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1373896373077817 y1[1] (numeric) = 0.1373896373076471 absolute error = 1.345867861601846e-13 relative error = 9.795992536080571e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.182999999999732 y2[1] (analytic) = 0.1368841997792606 y2[1] (numeric) = 0.1368841997789106 absolute error = 3.499978085130806e-13 relative error = 2.556889758478238e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1368841997792606 y1[1] (numeric) = 0.1368841997791264 absolute error = 1.341704525259502e-13 relative error = 9.801748685554167e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.183999999999732 y2[1] (analytic) = 0.1363796253664679 y2[1] (numeric) = 0.1363796253661181 absolute error = 3.497480083325399e-13 relative error = 2.564518031140843e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1363796253664679 y1[1] (numeric) = 0.1363796253663341 absolute error = 1.337818744673314e-13 relative error = 9.809520601618017e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.184999999999732 y2[1] (analytic) = 0.1358759145739778 y2[1] (numeric) = 0.1358759145736283 absolute error = 3.494982081519993e-13 relative error = 2.572186610465938e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1358759145739778 y1[1] (numeric) = 0.1358759145738444 absolute error = 1.333932964087126e-13 relative error = 9.817287841406687e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.185999999999733 y2[1] (analytic) = 0.1353730679055011 y2[1] (numeric) = 0.1353730679051518 absolute error = 3.492484079714586e-13 relative error = 2.57989579001974e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1353730679055011 y1[1] (numeric) = 0.1353730679053681 absolute error = 1.329769627744781e-13 relative error = 9.822999864884825e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.186999999999733 y2[1] (analytic) = 0.1348710858638845 y2[1] (numeric) = 0.1348710858635354 absolute error = 3.490263633665336e-13 relative error = 2.587851659463767e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1348710858638845 y1[1] (numeric) = 0.1348710858637519 absolute error = 1.325883847158593e-13 relative error = 9.830749405374484e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.187999999999733 y2[1] (analytic) = 0.1343699689511099 y2[1] (numeric) = 0.1343699689507611 absolute error = 3.487765631859929e-13 relative error = 2.595643698577428e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1343699689511099 y1[1] (numeric) = 0.1343699689509777 absolute error = 1.321720510816249e-13 relative error = 9.836427894815941e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.188999999999734 y2[1] (analytic) = 0.1338697176682942 y2[1] (numeric) = 0.1338697176679456 absolute error = 3.485545185810679e-13 relative error = 2.603684572225103e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1338697176682942 y1[1] (numeric) = 0.1338697176681624 absolute error = 1.317834730230061e-13 relative error = 9.844158583313258e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.189999999999734 y2[1] (analytic) = 0.1333703325156887 y2[1] (numeric) = 0.1333703325153404 absolute error = 3.483047184005272e-13 relative error = 2.6115606959258e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1333703325156887 y1[1] (numeric) = 0.1333703325155573 absolute error = 1.313671393887716e-13 relative error = 9.849802194451201e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.190999999999734 y2[1] (analytic) = 0.1328718139926784 y2[1] (numeric) = 0.1328718139923303 absolute error = 3.480826737956022e-13 relative error = 2.619687827960131e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1328718139926784 y1[1] (numeric) = 0.1328718139925474 absolute error = 1.309785613301528e-13 relative error = 9.857512845980269e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.191999999999735 y2[1] (analytic) = 0.1323741625977819 y2[1] (numeric) = 0.1323741625974341 absolute error = 3.478328736150615e-13 relative error = 2.627649284339193e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1323741625977819 y1[1] (numeric) = 0.1323741625976513 absolute error = 1.305622276959184e-13 relative error = 9.863120199115515e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.192999999999735 y2[1] (analytic) = 0.1318773788286505 y2[1] (numeric) = 0.1318773788283029 absolute error = 3.476108290101365e-13 relative error = 2.635863952541781e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1318773788286505 y1[1] (numeric) = 0.1318773788285203 absolute error = 1.301736496372996e-13 relative error = 9.870809595513378e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.193999999999735 y2[1] (analytic) = 0.1313814631820679 y2[1] (numeric) = 0.1313814631817206 absolute error = 3.473610288295959e-13 relative error = 2.643912013281693e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1313814631820679 y1[1] (numeric) = 0.1313814631819381 absolute error = 1.297850715786808e-13 relative error = 9.878491869041309e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.194999999999736 y2[1] (analytic) = 0.1308864161539498 y2[1] (numeric) = 0.1308864161536027 absolute error = 3.471112286490552e-13 relative error = 2.652003461083233e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1308864161539498 y1[1] (numeric) = 0.1308864161538204 absolute error = 1.29396493520062e-13 relative error = 9.886166748416786e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.195999999999736 y2[1] (analytic) = 0.130392238239343 y2[1] (numeric) = 0.1303922382389962 absolute error = 3.468614284685145e-13 relative error = 2.660138618311229e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.130392238239343 y1[1] (numeric) = 0.1303922382392141 absolute error = 1.289801598858276e-13 relative error = 9.891705336714634e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.196999999999736 y2[1] (analytic) = 0.1298989299324256 y2[1] (numeric) = 0.129898929932079 absolute error = 3.466116282879739e-13 relative error = 2.668317810379838e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1298989299324256 y1[1] (numeric) = 0.129898929932297 absolute error = 1.285915818272088e-13 relative error = 9.899356514645891e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.197999999999737 y2[1] (analytic) = 0.1294064917265057 y2[1] (numeric) = 0.1294064917261594 absolute error = 3.463618281074332e-13 relative error = 2.676541365787521e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1294064917265057 y1[1] (numeric) = 0.1294064917263775 absolute error = 1.2820300376859e-13 relative error = 9.906999413873355e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.198999999999737 y2[1] (analytic) = 0.1289149241140216 y2[1] (numeric) = 0.1289149241136754 absolute error = 3.461397835025082e-13 relative error = 2.685024917645357e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1289149241140216 y1[1] (numeric) = 0.1289149241138938 absolute error = 1.278144257099711e-13 relative error = 9.914633746898297e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.199999999999737 y2[1] (analytic) = 0.1284242275865407 y2[1] (numeric) = 0.1284242275861948 absolute error = 3.459177388975831e-13 relative error = 2.693555144526611e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1284242275865407 y1[1] (numeric) = 0.1284242275864133 absolute error = 1.274258476513523e-13 relative error = 9.922259222114798e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.200999999999738 y2[1] (analytic) = 0.1279344026347597 y2[1] (numeric) = 0.127934402634414 absolute error = 3.456679387170425e-13 relative error = 2.701915447277235e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1279344026347597 y1[1] (numeric) = 0.1279344026346326 absolute error = 1.270372695927335e-13 relative error = 9.929875543751327e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.201999999999738 y2[1] (analytic) = 0.1274454497485033 y2[1] (numeric) = 0.1274454497481579 absolute error = 3.454458941121175e-13 relative error = 2.710539252627764e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1274454497485033 y1[1] (numeric) = 0.1274454497483767 absolute error = 1.266486915341147e-13 relative error = 9.937482411811416e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.202999999999738 y2[1] (analytic) = 0.1269573694167245 y2[1] (numeric) = 0.1269573694163793 absolute error = 3.452238495071924e-13 relative error = 2.719210795665045e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1269573694167245 y1[1] (numeric) = 0.1269573694165982 absolute error = 1.262601134754959e-13 relative error = 9.945079522013419e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.203999999999739 y2[1] (analytic) = 0.1264701621275034 y2[1] (numeric) = 0.1264701621271585 absolute error = 3.449740493266518e-13 relative error = 2.727710975643877e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1264701621275034 y1[1] (numeric) = 0.1264701621273776 absolute error = 1.258437798412615e-13 relative error = 9.950471931425971e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.204999999999739 y2[1] (analytic) = 0.1259838283680475 y2[1] (numeric) = 0.1259838283677028 absolute error = 3.447520047217267e-13 relative error = 2.736478238417813e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1259838283680475 y1[1] (numeric) = 0.1259838283679221 absolute error = 1.254552017826427e-13 relative error = 9.958040123700597e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.205999999999739 y2[1] (analytic) = 0.1254983686246904 y2[1] (numeric) = 0.1254983686243459 absolute error = 3.445299601168017e-13 relative error = 2.745294332447755e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1254983686246904 y1[1] (numeric) = 0.1254983686245653 absolute error = 1.250666237240239e-13 relative error = 9.965597568685719e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.20699999999974 y2[1] (analytic) = 0.1250137833828918 y2[1] (numeric) = 0.1250137833825475 absolute error = 3.443079155118767e-13 relative error = 2.7541596310011e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1250137833828918 y1[1] (numeric) = 0.1250137833827671 absolute error = 1.246780456654051e-13 relative error = 9.973143943939493e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.20799999999974 y2[1] (analytic) = 0.1245300731272369 y2[1] (numeric) = 0.1245300731268928 absolute error = 3.44058115331336e-13 relative error = 2.76285162845604e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1245300731272369 y1[1] (numeric) = 0.1245300731271126 absolute error = 1.242755898189785e-13 relative error = 9.979564509851498e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.20899999999974 y2[1] (analytic) = 0.1240472383414358 y2[1] (numeric) = 0.124047238341092 absolute error = 3.438221929386032e-13 relative error = 2.77170372783507e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1240472383414358 y1[1] (numeric) = 0.124047238341312 absolute error = 1.238870117603597e-13 relative error = 9.987083422152845e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.209999999999741 y2[1] (analytic) = 0.1235652795083235 y2[1] (numeric) = 0.1235652795079799 absolute error = 3.435862705458703e-13 relative error = 2.78060529554118e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1235652795083235 y1[1] (numeric) = 0.1235652795082 absolute error = 1.234984337017409e-13 relative error = 9.994590243566102e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.210999999999741 y2[1] (analytic) = 0.1230841971098586 y2[1] (numeric) = 0.1230841971095153 absolute error = 3.433642259409453e-13 relative error = 2.789669462071366e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1230841971098586 y1[1] (numeric) = 0.1230841971097355 absolute error = 1.231237334309299e-13 relative error = 1.000321213624491e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.211999999999741 y2[1] (analytic) = 0.1226039916271235 y2[1] (numeric) = 0.1226039916267804 absolute error = 3.431421813360203e-13 relative error = 2.798784744134768e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1226039916271235 y1[1] (numeric) = 0.1226039916270008 absolute error = 1.227351553723111e-13 relative error = 1.001069816271451e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.212999999999742 y2[1] (analytic) = 0.1221246635403237 y2[1] (numeric) = 0.1221246635399808 absolute error = 3.429062589432874e-13 relative error = 2.807837901064636e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1221246635403237 y1[1] (numeric) = 0.1221246635402014 absolute error = 1.223465773136923e-13 relative error = 1.001817108575249e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.213999999999742 y2[1] (analytic) = 0.1216462133287872 y2[1] (numeric) = 0.1216462133284445 absolute error = 3.426703365505546e-13 relative error = 2.816942074673381e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1216462133287872 y1[1] (numeric) = 0.1216462133286653 absolute error = 1.219579992550734e-13 relative error = 1.002563054925874e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.214999999999742 y2[1] (analytic) = 0.1211686414709642 y2[1] (numeric) = 0.1211686414706217 absolute error = 3.424482919456295e-13 relative error = 2.82621219309198e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1211686414709642 y1[1] (numeric) = 0.1211686414708426 absolute error = 1.215694211964546e-13 relative error = 1.003307619204318e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.215999999999743 y2[1] (analytic) = 0.1206919484444264 y2[1] (numeric) = 0.1206919484440842 absolute error = 3.422123695528967e-13 relative error = 2.835420042211607e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1206919484444264 y1[1] (numeric) = 0.1206919484443053 absolute error = 1.211808431378358e-13 relative error = 1.004050764775204e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.216999999999743 y2[1] (analytic) = 0.120216134725867 y2[1] (numeric) = 0.120216134725525 absolute error = 3.419764471601638e-13 relative error = 2.844680108373012e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.120216134725867 y1[1] (numeric) = 0.1202161347257462 absolute error = 1.20792265079217e-13 relative error = 1.004792454479291e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.217999999999743 y2[1] (analytic) = 0.1197412007910995 y2[1] (numeric) = 0.1197412007907577 absolute error = 3.41740524767431e-13 relative error = 2.853992798716222e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1197412007910995 y1[1] (numeric) = 0.1197412007909791 absolute error = 1.204036870205982e-13 relative error = 1.005532650625866e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.218999999999744 y2[1] (analytic) = 0.1192671471150578 y2[1] (numeric) = 0.1192671471147163 absolute error = 3.41518480162506e-13 relative error = 2.863474883263878e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1192671471150578 y1[1] (numeric) = 0.1192671471149378 absolute error = 1.200289867497872e-13 relative error = 1.006387673832715e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.219999999999744 y2[1] (analytic) = 0.1187939741717957 y2[1] (numeric) = 0.1187939741714544 absolute error = 3.412964355575809e-13 relative error = 2.873011345373546e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1187939741717957 y1[1] (numeric) = 0.118793974171676 absolute error = 1.196404086911684e-13 relative error = 1.007125231100937e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.220999999999744 y2[1] (analytic) = 0.1183216824344859 y2[1] (numeric) = 0.1183216824341448 absolute error = 3.410605131648481e-13 relative error = 2.882485324308092e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1183216824344859 y1[1] (numeric) = 0.1183216824343666 absolute error = 1.192518306325496e-13 relative error = 1.007861181306129e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.221999999999745 y2[1] (analytic) = 0.1178502723754202 y2[1] (numeric) = 0.1178502723750794 absolute error = 3.408245907721152e-13 relative error = 2.892013602534535e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1178502723754202 y1[1] (numeric) = 0.1178502723753014 absolute error = 1.188632525739308e-13 relative error = 1.008595484576257e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.222999999999745 y2[1] (analytic) = 0.1173797444660087 y2[1] (numeric) = 0.1173797444656681 absolute error = 3.406025461671902e-13 relative error = 2.901714837740368e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1173797444660087 y1[1] (numeric) = 0.1173797444658902 absolute error = 1.18474674515312e-13 relative error = 1.009328100468139e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.223999999999745 y2[1] (analytic) = 0.1169100991767791 y2[1] (numeric) = 0.1169100991764387 absolute error = 3.40394379350073e-13 relative error = 2.911590886903317e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1169100991767791 y1[1] (numeric) = 0.116910099176661 absolute error = 1.18099974244501e-13 relative error = 1.010177692740836e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.224999999999746 y2[1] (analytic) = 0.1164413369773767 y2[1] (numeric) = 0.1164413369770366 absolute error = 3.401584569573401e-13 relative error = 2.921286080933862e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1164413369773767 y1[1] (numeric) = 0.116441336977259 absolute error = 1.177113961858822e-13 relative error = 1.010907288094367e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.225999999999746 y2[1] (analytic) = 0.1159734583365638 y2[1] (numeric) = 0.1159734583362239 absolute error = 3.399364123524151e-13 relative error = 2.931156983918629e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1159734583365638 y1[1] (numeric) = 0.1159734583364465 absolute error = 1.173228181272634e-13 relative error = 1.011635074180367e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.226999999999746 y2[1] (analytic) = 0.1155064637222188 y2[1] (numeric) = 0.1155064637218791 absolute error = 3.397143677474901e-13 relative error = 2.941085345357539e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1155064637222188 y1[1] (numeric) = 0.1155064637221019 absolute error = 1.169481178564524e-13 relative error = 1.012481155493606e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.227999999999747 y2[1] (analytic) = 0.1150403536013365 y2[1] (numeric) = 0.115040353600997 absolute error = 3.394923231425651e-13 relative error = 2.951071624128084e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1150403536013365 y1[1] (numeric) = 0.1150403536012199 absolute error = 1.165734175856414e-13 relative error = 1.01332631495221e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.228999999999747 y2[1] (analytic) = 0.1145751284400267 y2[1] (numeric) = 0.1145751284396875 absolute error = 3.3927027853764e-13 relative error = 2.961116283759855e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1145751284400267 y1[1] (numeric) = 0.1145751284399105 absolute error = 1.161987173148304e-13 relative error = 1.014170517606302e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.229999999999747 y2[1] (analytic) = 0.1141107887035148 y2[1] (numeric) = 0.1141107887031757 absolute error = 3.39048233932715e-13 relative error = 2.971219792491644e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1141107887035148 y1[1] (numeric) = 0.114110788703399 absolute error = 1.158101392562116e-13 relative error = 1.014892111184265e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.230999999999748 y2[1] (analytic) = 0.1136473348561403 y2[1] (numeric) = 0.1136473348558015 absolute error = 3.3882618932779e-13 relative error = 2.981382623329362e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1136473348561403 y1[1] (numeric) = 0.1136473348560249 absolute error = 1.154354389854007e-13 relative error = 1.015733797290749e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.231999999999748 y2[1] (analytic) = 0.1131847673613571 y2[1] (numeric) = 0.1131847673610185 absolute error = 3.386041447228649e-13 relative error = 2.991605254104796e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1131847673613571 y1[1] (numeric) = 0.113184767361242 absolute error = 1.150607387145897e-13 relative error = 1.016574415417962e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.232999999999748 y2[1] (analytic) = 0.1127230866817326 y2[1] (numeric) = 0.1127230866813943 absolute error = 3.383682223301321e-13 relative error = 3.001765053555497e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1127230866817326 y1[1] (numeric) = 0.112723086681618 absolute error = 1.146721606559709e-13 relative error = 1.017290814433971e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.233999999999749 y2[1] (analytic) = 0.1122622932789475 y2[1] (numeric) = 0.1122622932786094 absolute error = 3.381461777252071e-13 relative error = 3.012108231968742e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1122622932789475 y1[1] (numeric) = 0.1122622932788332 absolute error = 1.142974603851599e-13 relative error = 1.018128679245447e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.234999999999749 y2[1] (analytic) = 0.1118023876137952 y2[1] (numeric) = 0.1118023876134573 absolute error = 3.379380109080898e-13 relative error = 3.022636798021225e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1118023876137952 y1[1] (numeric) = 0.1118023876136813 absolute error = 1.139227601143489e-13 relative error = 1.018965359737023e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.235999999999749 y2[1] (analytic) = 0.1113433701461812 y2[1] (numeric) = 0.1113433701458435 absolute error = 3.377159663031648e-13 relative error = 3.033103505487412e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1113433701461812 y1[1] (numeric) = 0.1113433701460677 absolute error = 1.135480598435379e-13 relative error = 1.019800817008342e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.23699999999975 y2[1] (analytic) = 0.1108852413351231 y2[1] (numeric) = 0.1108852413347856 absolute error = 3.374939216982398e-13 relative error = 3.043632476555183e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1108852413351231 y1[1] (numeric) = 0.1108852413350099 absolute error = 1.131733595727269e-13 relative error = 1.020635011567397e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.23799999999975 y2[1] (analytic) = 0.1104280016387495 y2[1] (numeric) = 0.1104280016384122 absolute error = 3.372718770933147e-13 relative error = 3.054224219294078e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1104280016387495 y1[1] (numeric) = 0.1104280016386367 absolute error = 1.127986593019159e-13 relative error = 1.021467903321494e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.23899999999975 y2[1] (analytic) = 0.1099716515143001 y2[1] (numeric) = 0.1099716515139631 absolute error = 3.370498324883897e-13 relative error = 3.06487924703542e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1099716515143001 y1[1] (numeric) = 0.1099716515141877 absolute error = 1.124100812432971e-13 relative error = 1.022173257338778e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.239999999999751 y2[1] (analytic) = 0.1095161914181251 y2[1] (numeric) = 0.1095161914177882 absolute error = 3.368416656712725e-13 relative error = 3.075724797488938e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1095161914181251 y1[1] (numeric) = 0.109516191418013 absolute error = 1.120353809724861e-13 relative error = 1.023002895934748e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.240999999999751 y2[1] (analytic) = 0.1090616218056844 y2[1] (numeric) = 0.1090616218053478 absolute error = 3.366334988541553e-13 relative error = 3.086635731989542e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1090616218056844 y1[1] (numeric) = 0.1090616218055727 absolute error = 1.116606807016751e-13 relative error = 1.023831104406475e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.241999999999751 y2[1] (analytic) = 0.1086079431315477 y2[1] (numeric) = 0.1086079431312112 absolute error = 3.364114542492302e-13 relative error = 3.097484811417185e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1086079431315477 y1[1] (numeric) = 0.1086079431314364 absolute error = 1.112721026430563e-13 relative error = 1.024530061381254e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.242999999999752 y2[1] (analytic) = 0.1081551558493935 y2[1] (numeric) = 0.1081551558490573 absolute error = 3.36203287432113e-13 relative error = 3.108527603624162e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1081551558493935 y1[1] (numeric) = 0.1081551558492826 absolute error = 1.109112801600531e-13 relative error = 1.025483059859832e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.243999999999752 y2[1] (analytic) = 0.1077032604120092 y2[1] (numeric) = 0.1077032604116732 absolute error = 3.359951206149958e-13 relative error = 3.119637412365015e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1077032604120092 y1[1] (numeric) = 0.1077032604118987 absolute error = 1.105365798892421e-13 relative error = 1.026306719651701e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.244999999999752 y2[1] (analytic) = 0.1072522572712901 y2[1] (numeric) = 0.1072522572709544 absolute error = 3.357730760100708e-13 relative error = 3.130685400501611e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1072522572712901 y1[1] (numeric) = 0.10725225727118 absolute error = 1.101618796184312e-13 relative error = 1.027128774919685e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.245999999999753 y2[1] (analytic) = 0.1068021468782394 y2[1] (numeric) = 0.1068021468779038 absolute error = 3.355510314051457e-13 relative error = 3.141800433915371e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1068021468782394 y1[1] (numeric) = 0.1068021468781296 absolute error = 1.097871793476202e-13 relative error = 1.027949180392262e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.246999999999753 y2[1] (analytic) = 0.1063529296829673 y2[1] (numeric) = 0.106352929682632 absolute error = 3.353428645880285e-13 relative error = 3.15311355867364e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1063529296829673 y1[1] (numeric) = 0.1063529296828579 absolute error = 1.094124790768092e-13 relative error = 1.028767890108549e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.247999999999753 y2[1] (analytic) = 0.1059046061346911 y2[1] (numeric) = 0.105904606134356 absolute error = 3.351346977709113e-13 relative error = 3.164495955394817e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1059046061346911 y1[1] (numeric) = 0.1059046061345821 absolute error = 1.090377788059982e-13 relative error = 1.029584857407639e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.248999999999754 y2[1] (analytic) = 0.1054571766817343 y2[1] (numeric) = 0.1054571766813994 absolute error = 3.349126531659863e-13 relative error = 3.175816608259292e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1054571766817343 y1[1] (numeric) = 0.1054571766816256 absolute error = 1.086630785351872e-13 relative error = 1.030400034917758e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.249999999999754 y2[1] (analytic) = 0.1050106417715262 y2[1] (numeric) = 0.1050106417711915 absolute error = 3.347044863488691e-13 relative error = 3.187338737316665e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1050106417715262 y1[1] (numeric) = 0.1050106417714179 absolute error = 1.082883782643762e-13 relative error = 1.031213374545233e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.250999999999754 y2[1] (analytic) = 0.1045650018506018 y2[1] (numeric) = 0.1045650018502673 absolute error = 3.345101973195597e-13 relative error = 3.199064614348634e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1045650018506018 y1[1] (numeric) = 0.1045650018504939 absolute error = 1.07927555781373e-13 relative error = 1.032157546705498e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.251999999999755 y2[1] (analytic) = 0.1041202573646009 y2[1] (numeric) = 0.1041202573642666 absolute error = 3.342881527146346e-13 relative error = 3.210596680951798e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1041202573646009 y1[1] (numeric) = 0.1041202573644933 absolute error = 1.07552855510562e-13 relative error = 1.032967630246448e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.252999999999755 y2[1] (analytic) = 0.103676408758268 y2[1] (numeric) = 0.1036764087579339 absolute error = 3.340799858975174e-13 relative error = 3.222333700586202e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.103676408758268 y1[1] (numeric) = 0.1036764087581608 absolute error = 1.071920330275589e-13 relative error = 1.033909587642912e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.253999999999755 y2[1] (analytic) = 0.1032334564754516 y2[1] (numeric) = 0.1032334564751178 absolute error = 3.338579412925924e-13 relative error = 3.234009135129386e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1032334564754516 y1[1] (numeric) = 0.1032334564753448 absolute error = 1.068173327567479e-13 relative error = 1.034716228669031e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.254999999999756 y2[1] (analytic) = 0.102791400959104 y2[1] (numeric) = 0.1027914009587704 absolute error = 3.336497744754752e-13 relative error = 3.245891887476259e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.102791400959104 y1[1] (numeric) = 0.1027914009589976 absolute error = 1.064565102737447e-13 relative error = 1.035655796890042e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.255999999999756 y2[1] (analytic) = 0.1023502426512807 y2[1] (numeric) = 0.1023502426509473 absolute error = 3.334554854461658e-13 relative error = 3.257984317460659e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1023502426512807 y1[1] (numeric) = 0.1023502426511746 absolute error = 1.060956877907415e-13 relative error = 1.036594394331061e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.256999999999756 y2[1] (analytic) = 0.10190998199314 y2[1] (numeric) = 0.1019099819928067 absolute error = 3.332473186290486e-13 relative error = 3.270016460718057e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.10190998199314 y1[1] (numeric) = 0.1019099819930343 absolute error = 1.057209875199305e-13 relative error = 1.037395802180076e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.257999999999757 y2[1] (analytic) = 0.1014706194249424 y2[1] (numeric) = 0.1014706194246094 absolute error = 3.330391518119313e-13 relative error = 3.282123965531517e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1014706194249424 y1[1] (numeric) = 0.101470619424837 absolute error = 1.053601650369274e-13 relative error = 1.038331742074976e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.258999999999757 y2[1] (analytic) = 0.1010321553860505 y2[1] (numeric) = 0.1010321553857177 absolute error = 3.328309849948141e-13 relative error = 3.294307477882116e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1010321553860505 y1[1] (numeric) = 0.1010321553859455 absolute error = 1.049993425539242e-13 relative error = 1.039266579562861e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.259999999999757 y2[1] (analytic) = 0.1005945903149283 y2[1] (numeric) = 0.1005945903145957 absolute error = 3.326228181776969e-13 relative error = 3.306567650768944e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1005945903149283 y1[1] (numeric) = 0.1005945903148237 absolute error = 1.046246422831132e-13 relative error = 1.040062313048526e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.260999999999758 y2[1] (analytic) = 0.1001579246491409 y2[1] (numeric) = 0.1001579246488084 absolute error = 3.324146513605797e-13 relative error = 3.318905144301341e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.1001579246491409 y1[1] (numeric) = 0.1001579246490366 absolute error = 1.0426381980011e-13 relative error = 1.040994211544941e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.261999999999758 y2[1] (analytic) = 0.09972215882535378 y2[1] (numeric) = 0.09972215882502156 absolute error = 3.322203623312703e-13 relative error = 3.331459790327014e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09972215882535378 y1[1] (numeric) = 0.09972215882524987 absolute error = 1.039029973171068e-13 relative error = 1.041924869467327e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.262999999999758 y2[1] (analytic) = 0.09928729327933283 y2[1] (numeric) = 0.09928729327900082 absolute error = 3.320121955141531e-13 relative error = 3.343954543912047e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09928729327933283 y1[1] (numeric) = 0.09928729327922931 absolute error = 1.035282970462958e-13 relative error = 1.042714466543382e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.263999999999759 y2[1] (analytic) = 0.09885332844594356 y2[1] (numeric) = 0.09885332844561175 absolute error = 3.318179064848437e-13 relative error = 3.356669033823107e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09885332844594356 y1[1] (numeric) = 0.0988533284458404 absolute error = 1.031674745632927e-13 relative error = 1.04364189031539e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.264999999999759 y2[1] (analytic) = 0.09842026475915074 y2[1] (numeric) = 0.09842026475881913 absolute error = 3.316097396677264e-13 relative error = 3.369323791997772e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09842026475915074 y1[1] (numeric) = 0.09842026475904794 absolute error = 1.027927742924817e-13 relative error = 1.044426923093848e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.265999999999759 y2[1] (analytic) = 0.09798810265201803 y2[1] (numeric) = 0.09798810265168661 absolute error = 3.31415450638417e-13 relative error = 3.382200916935416e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09798810265201803 y1[1] (numeric) = 0.0979881026519156 absolute error = 1.024319518094785e-13 relative error = 1.045350905234299e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.26699999999976 y2[1] (analytic) = 0.0975568425567075 y2[1] (numeric) = 0.0975568425563763 absolute error = 3.312072838212998e-13 relative error = 3.395018485031194e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0975568425567075 y1[1] (numeric) = 0.09755684255660543 absolute error = 1.020711293264753e-13 relative error = 1.046273399706881e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.26799999999976 y2[1] (analytic) = 0.09712648490447923 y2[1] (numeric) = 0.09712648490414821 absolute error = 3.310129947919904e-13 relative error = 3.408061098036556e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09712648490447923 y1[1] (numeric) = 0.09712648490437752 absolute error = 1.017103068434722e-13 relative error = 1.047194356343699e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.26899999999976 y2[1] (analytic) = 0.09669703012569079 y2[1] (numeric) = 0.09669703012535999 absolute error = 3.308048279748732e-13 relative error = 3.421044343811588e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09669703012569079 y1[1] (numeric) = 0.09669703012558944 absolute error = 1.01349484360469e-13 relative error = 1.04811372416227e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.269999999999761 y2[1] (analytic) = 0.09626847864979697 y2[1] (numeric) = 0.09626847864946636 absolute error = 3.306105389455638e-13 relative error = 3.434255361490135e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09626847864979697 y1[1] (numeric) = 0.09626847864969598 absolute error = 1.009886618774658e-13 relative error = 1.04903145135221e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.270999999999761 y2[1] (analytic) = 0.09584083090534917 y2[1] (numeric) = 0.09584083090501877 absolute error = 3.304023721284466e-13 relative error = 3.447407216812911e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09584083090534917 y1[1] (numeric) = 0.09584083090524856 absolute error = 1.006139616066548e-13 relative error = 1.049802684891364e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.271999999999761 y2[1] (analytic) = 0.09541408731999514 y2[1] (numeric) = 0.09541408731966493 absolute error = 3.302080830991372e-13 relative error = 3.460789621051463e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09541408731999514 y1[1] (numeric) = 0.09541408731989488 absolute error = 1.002531391236516e-13 relative error = 1.050716324387483e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.272999999999762 y2[1] (analytic) = 0.09498824832047839 y2[1] (numeric) = 0.09498824832014838 absolute error = 3.300137940698278e-13 relative error = 3.474259183687679e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09498824832047839 y1[1] (numeric) = 0.0949882483203785 absolute error = 9.989231664064846e-14 relative error = 1.051628158292006e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.273999999999762 y2[1] (analytic) = 0.09456331433263791 y2[1] (numeric) = 0.09456331433230809 absolute error = 3.298195050405184e-13 relative error = 3.487816679947768e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09456331433263791 y1[1] (numeric) = 0.09456331433253838 absolute error = 9.953149415764528e-14 relative error = 1.052538131304611e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.274999999999762 y2[1] (analytic) = 0.09413928578140765 y2[1] (numeric) = 0.09413928578107802 absolute error = 3.29625216011209e-13 relative error = 3.501462893787e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09413928578140765 y1[1] (numeric) = 0.09413928578130848 absolute error = 9.917067167464211e-14 relative error = 1.053446187226419e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.275999999999763 y2[1] (analytic) = 0.09371616309081611 y2[1] (numeric) = 0.09371616309048669 absolute error = 3.294170491940918e-13 relative error = 3.515050534824698e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09371616309081611 y1[1] (numeric) = 0.0937161630907173 absolute error = 9.880984919163893e-14 relative error = 1.054352268945185e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.276999999999763 y2[1] (analytic) = 0.09329394668398597 y2[1] (numeric) = 0.09329394668365674 absolute error = 3.292227601647824e-13 relative error = 3.52887590102664e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09329394668398597 y1[1] (numeric) = 0.0932939466838875 absolute error = 9.846290449644357e-14 relative error = 1.055405071777769e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.277999999999763 y2[1] (analytic) = 0.09287263698313357 y2[1] (numeric) = 0.09287263698280455 absolute error = 3.290145933476651e-13 relative error = 3.542642957445226e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09287263698313357 y1[1] (numeric) = 0.09287263698303547 absolute error = 9.810208201344039e-14 relative error = 1.05630770483298e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.278999999999764 y2[1] (analytic) = 0.09245223440956861 y2[1] (numeric) = 0.09245223440923979 absolute error = 3.288203043183557e-13 relative error = 3.556650700962653e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09245223440956861 y1[1] (numeric) = 0.09245223440947085 absolute error = 9.775513731824503e-14 relative error = 1.057358299045367e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.279999999999764 y2[1] (analytic) = 0.09203273938369361 y2[1] (numeric) = 0.09203273938336498 absolute error = 3.286260152890463e-13 relative error = 3.570751207556388e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09203273938369361 y1[1] (numeric) = 0.09203273938359621 absolute error = 9.739431483524186e-14 relative error = 1.058257262442176e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.280999999999764 y2[1] (analytic) = 0.09161415232500356 y2[1] (numeric) = 0.09161415232467512 absolute error = 3.284317262597369e-13 relative error = 3.584945316031708e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09161415232500356 y1[1] (numeric) = 0.09161415232490652 absolute error = 9.703349235223868e-14 relative error = 1.059153961366251e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.281999999999765 y2[1] (analytic) = 0.09119647365208548 y2[1] (numeric) = 0.09119647365175725 absolute error = 3.282374372304275e-13 relative error = 3.59923387479491e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09119647365208548 y1[1] (numeric) = 0.0911964736519888 absolute error = 9.668654765704332e-14 relative error = 1.060200507597503e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.282999999999765 y2[1] (analytic) = 0.09077970378261802 y2[1] (numeric) = 0.09077970378228997 absolute error = 3.280431482011181e-13 relative error = 3.613617741986177e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09077970378261802 y1[1] (numeric) = 0.09077970378252169 absolute error = 9.632572517404014e-14 relative error = 1.061093186696254e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.283999999999765 y2[1] (analytic) = 0.09036384313337101 y2[1] (numeric) = 0.09036384313304316 absolute error = 3.278488591718087e-13 relative error = 3.628097785614603e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.09036384313337101 y1[1] (numeric) = 0.09036384313327503 absolute error = 9.597878047884478e-14 relative error = 1.062136991420191e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.284999999999766 y2[1] (analytic) = 0.08994889212020506 y2[1] (numeric) = 0.0899488921198774 absolute error = 3.276545701424993e-13 relative error = 3.642674883695414e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08994889212020506 y1[1] (numeric) = 0.08994889212010944 absolute error = 9.561795799584161e-14 relative error = 1.063025410786167e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.285999999999766 y2[1] (analytic) = 0.08953485115807115 y2[1] (numeric) = 0.08953485115774369 absolute error = 3.274602811131899e-13 relative error = 3.657349924389425e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08953485115807115 y1[1] (numeric) = 0.08953485115797589 absolute error = 9.525713551283843e-14 relative error = 1.063911251102264e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.286999999999766 y2[1] (analytic) = 0.08912172066101022 y2[1] (numeric) = 0.08912172066068295 absolute error = 3.272659920838805e-13 relative error = 3.672123806144778e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08912172066101022 y1[1] (numeric) = 0.08912172066091531 absolute error = 9.491019081764307e-14 relative error = 1.064950161573409e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.287999999999767 y2[1] (analytic) = 0.08870950104215272 y2[1] (numeric) = 0.08870950104182565 absolute error = 3.270717030545711e-13 relative error = 3.686997437841006e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08870950104215272 y1[1] (numeric) = 0.08870950104205816 absolute error = 9.456324612244771e-14 relative error = 1.065987803014622e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.288999999999767 y2[1] (analytic) = 0.08829819271371825 y2[1] (numeric) = 0.08829819271339136 absolute error = 3.268912918130695e-13 relative error = 3.702128908492176e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08829819271371825 y1[1] (numeric) = 0.08829819271362403 absolute error = 9.421630142725235e-14 relative error = 1.067024120558411e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.289999999999767 y2[1] (analytic) = 0.08788779608701507 y2[1] (numeric) = 0.08788779608668838 absolute error = 3.266831249959523e-13 relative error = 3.717047639612139e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08788779608701507 y1[1] (numeric) = 0.08788779608692121 absolute error = 9.385547894424917e-14 relative error = 1.067901154914906e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.290999999999768 y2[1] (analytic) = 0.08747831157243981 y2[1] (numeric) = 0.0874783115721133 absolute error = 3.265027137544507e-13 relative error = 3.732384723544618e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08747831157243981 y1[1] (numeric) = 0.0874783115723463 absolute error = 9.350853424905381e-14 relative error = 1.068933917084356e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.291999999999768 y2[1] (analytic) = 0.08706973957947692 y2[1] (numeric) = 0.08706973957915061 absolute error = 3.263084247251413e-13 relative error = 3.747667402028787e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08706973957947692 y1[1] (numeric) = 0.08706973957938377 absolute error = 9.314771176605063e-14 relative error = 1.0698057926431e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.292999999999768 y2[1] (analytic) = 0.08666208051669838 y2[1] (numeric) = 0.08666208051637225 absolute error = 3.261280134836397e-13 relative error = 3.763214678659834e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08666208051669838 y1[1] (numeric) = 0.08666208051660558 absolute error = 9.280076707085527e-14 relative error = 1.070834747072268e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.293999999999769 y2[1] (analytic) = 0.08625533479176323 y2[1] (numeric) = 0.08625533479143728 absolute error = 3.259476022421381e-13 relative error = 3.778868901605189e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08625533479176323 y1[1] (numeric) = 0.08625533479167076 absolute error = 9.246770016346773e-14 relative error = 1.072022969787345e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.294999999999769 y2[1] (analytic) = 0.08584950281141712 y2[1] (numeric) = 0.08584950281109137 absolute error = 3.257533132128287e-13 relative error = 3.794469420846859e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08584950281141712 y1[1] (numeric) = 0.085849502811325 absolute error = 9.212075546827236e-14 relative error = 1.073049376542472e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.295999999999769 y2[1] (analytic) = 0.08544458498149203 y2[1] (numeric) = 0.08544458498116646 absolute error = 3.255729019713272e-13 relative error = 3.810339789722763e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08544458498149203 y1[1] (numeric) = 0.08544458498140026 absolute error = 9.1773810773077e-14 relative error = 1.074074042175475e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.29699999999977 y2[1] (analytic) = 0.08504058170690575 y2[1] (numeric) = 0.08504058170658035 absolute error = 3.253924907298256e-13 relative error = 3.826320142673741e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08504058170690575 y1[1] (numeric) = 0.08504058170681432 absolute error = 9.142686607788164e-14 relative error = 1.075096903652263e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.29799999999977 y2[1] (analytic) = 0.0846374933916615 y2[1] (numeric) = 0.0846374933913363 absolute error = 3.251982017005162e-13 relative error = 3.842247550924692e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0846374933916615 y1[1] (numeric) = 0.08463749339157042 absolute error = 9.107992138268628e-14 relative error = 1.07611789684286e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.29899999999977 y2[1] (analytic) = 0.08423532043884759 y2[1] (numeric) = 0.08423532043852258 absolute error = 3.250039126712068e-13 relative error = 3.858285467165169e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08423532043884759 y1[1] (numeric) = 0.08423532043875687 absolute error = 9.07190988996831e-14 relative error = 1.076972206279461e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.299999999999771 y2[1] (analytic) = 0.08383406325063693 y2[1] (numeric) = 0.0838340632503121 absolute error = 3.248235014297052e-13 relative error = 3.874600476641424e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08383406325063693 y1[1] (numeric) = 0.08383406325054656 absolute error = 9.037215420448774e-14 relative error = 1.077988477479661e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.300999999999771 y2[1] (analytic) = 0.08343372222828667 y2[1] (numeric) = 0.08343372222796203 absolute error = 3.246430901882036e-13 relative error = 3.891029688210882e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08343372222828667 y1[1] (numeric) = 0.08343372222819664 absolute error = 9.002520950929238e-14 relative error = 1.079002675476595e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.301999999999771 y2[1] (analytic) = 0.08303429777213781 y2[1] (numeric) = 0.08303429777181334 absolute error = 3.24462678946702e-13 relative error = 3.907574191054044e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08303429777213781 y1[1] (numeric) = 0.08303429777204813 absolute error = 8.967826481409702e-14 relative error = 1.080014731505185e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.302999999999772 y2[1] (analytic) = 0.08263579028161475 y2[1] (numeric) = 0.08263579028129048 absolute error = 3.242683899173926e-13 relative error = 3.924067148293947e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08263579028161475 y1[1] (numeric) = 0.08263579028152541 absolute error = 8.933132011890166e-14 relative error = 1.081024575604217e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.303999999999772 y2[1] (analytic) = 0.08223820015522497 y2[1] (numeric) = 0.08223820015490088 absolute error = 3.24087978675891e-13 relative error = 3.94084474203197e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08223820015522497 y1[1] (numeric) = 0.08223820015513598 absolute error = 8.89843754237063e-14 relative error = 1.082032136595255e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.304999999999772 y2[1] (analytic) = 0.08184152779055856 y2[1] (numeric) = 0.08184152779023465 absolute error = 3.239075674343894e-13 relative error = 3.957740968170882e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08184152779055856 y1[1] (numeric) = 0.08184152779046991 absolute error = 8.865130851631875e-14 relative error = 1.08320691108293e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.305999999999773 y2[1] (analytic) = 0.08144577358428784 y2[1] (numeric) = 0.08144577358396411 absolute error = 3.237271561928878e-13 relative error = 3.974756969529722e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08144577358428784 y1[1] (numeric) = 0.08144577358419954 absolute error = 8.830436382112339e-14 relative error = 1.084210511300966e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.306999999999773 y2[1] (analytic) = 0.08105093793216699 y2[1] (numeric) = 0.08105093793184344 absolute error = 3.235467449513862e-13 relative error = 3.991893902846238e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08105093793216699 y1[1] (numeric) = 0.08105093793207903 absolute error = 8.795741912592803e-14 relative error = 1.085211613461416e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.307999999999773 y2[1] (analytic) = 0.08065702122903162 y2[1] (numeric) = 0.08065702122870826 absolute error = 3.233663337098847e-13 relative error = 4.009152938981739e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08065702122903162 y1[1] (numeric) = 0.08065702122894401 absolute error = 8.761047443073267e-14 relative error = 1.086210141358385e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.308999999999774 y2[1] (analytic) = 0.08026402386879843 y2[1] (numeric) = 0.08026402386847524 absolute error = 3.231859224683831e-13 relative error = 4.026535263129479e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.08026402386879843 y1[1] (numeric) = 0.08026402386871115 absolute error = 8.727740752334512e-14 relative error = 1.087378919178173e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.309999999999774 y2[1] (analytic) = 0.07987194624446471 y2[1] (numeric) = 0.07987194624414171 absolute error = 3.230055112268815e-13 relative error = 4.044042075026642e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07987194624446471 y1[1] (numeric) = 0.07987194624437778 absolute error = 8.693046282814976e-14 relative error = 1.088372913339071e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.310999999999774 y2[1] (analytic) = 0.07948078874810809 y2[1] (numeric) = 0.07948078874778525 absolute error = 3.228389777731877e-13 relative error = 4.06184919473226e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07948078874810809 y1[1] (numeric) = 0.07948078874802149 absolute error = 8.659739592076221e-14 relative error = 1.089538708469643e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.311999999999775 y2[1] (analytic) = 0.07909055177088599 y2[1] (numeric) = 0.07909055177056333 absolute error = 3.226585665316861e-13 relative error = 4.079609502110718e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07909055177088599 y1[1] (numeric) = 0.07909055177079974 absolute error = 8.625045122556685e-14 relative error = 1.090527873359919e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.312999999999775 y2[1] (analytic) = 0.07870123570303539 y2[1] (numeric) = 0.0787012357027129 absolute error = 3.224920330779923e-13 relative error = 4.09767432743822e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07870123570303539 y1[1] (numeric) = 0.07870123570294947 absolute error = 8.59173843181793e-14 relative error = 1.091690410584819e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.313999999999775 y2[1] (analytic) = 0.07831284093387231 y2[1] (numeric) = 0.07831284093355 absolute error = 3.223116218364908e-13 relative error = 4.115693135288656e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07831284093387231 y1[1] (numeric) = 0.07831284093378672 absolute error = 8.558431741079175e-14 relative error = 1.092851649744893e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.314999999999776 y2[1] (analytic) = 0.07792536785179148 y2[1] (numeric) = 0.07792536785146935 absolute error = 3.221312105949892e-13 relative error = 4.133842668637251e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07792536785179148 y1[1] (numeric) = 0.07792536785170624 absolute error = 8.523737271559639e-14 relative error = 1.093833434032828e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.315999999999776 y2[1] (analytic) = 0.07753881684426597 y2[1] (numeric) = 0.07753881684394401 absolute error = 3.219646771412954e-13 relative error = 4.152303197867338e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07753881684426597 y1[1] (numeric) = 0.07753881684418107 absolute error = 8.490430580820885e-14 relative error = 1.094990989851395e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.316999999999776 y2[1] (analytic) = 0.07715318829784674 y2[1] (numeric) = 0.07715318829752496 absolute error = 3.217842658997938e-13 relative error = 4.170718968314812e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07715318829784674 y1[1] (numeric) = 0.07715318829776217 absolute error = 8.45712389008213e-14 relative error = 1.096147038983502e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.317999999999777 y2[1] (analytic) = 0.07676848259816232 y2[1] (numeric) = 0.07676848259784071 absolute error = 3.216177324461e-13 relative error = 4.189450169668964e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07676848259816232 y1[1] (numeric) = 0.07676848259807809 absolute error = 8.423817199343375e-14 relative error = 1.09730151153789e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.318999999999777 y2[1] (analytic) = 0.07638470012991835 y2[1] (numeric) = 0.07638470012959692 absolute error = 3.214373212045984e-13 relative error = 4.208137502116054e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07638470012991835 y1[1] (numeric) = 0.07638470012983446 absolute error = 8.389122729823839e-14 relative error = 1.098272653496742e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.319999999999777 y2[1] (analytic) = 0.0760018412768973 y2[1] (numeric) = 0.07600184127657603 absolute error = 3.212707877509047e-13 relative error = 4.227144794827006e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0760018412768973 y1[1] (numeric) = 0.07600184127681374 absolute error = 8.355816039085084e-14 relative error = 1.099422842749607e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.320999999999778 y2[1] (analytic) = 0.07561990642195796 y2[1] (numeric) = 0.07561990642163686 absolute error = 3.210903765094031e-13 relative error = 4.246109149060877e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07561990642195796 y1[1] (numeric) = 0.07561990642187474 absolute error = 8.321121569565548e-14 relative error = 1.100387710496997e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.321999999999778 y2[1] (analytic) = 0.07523889594703517 y2[1] (numeric) = 0.07523889594671425 absolute error = 3.209238430557093e-13 relative error = 4.265398089860667e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07523889594703517 y1[1] (numeric) = 0.07523889594695229 absolute error = 8.287814878826794e-14 relative error = 1.101533292655044e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.322999999999778 y2[1] (analytic) = 0.07485881023313938 y2[1] (numeric) = 0.07485881023281862 absolute error = 3.207573096020155e-13 relative error = 4.284830450858794e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07485881023313938 y1[1] (numeric) = 0.07485881023305684 absolute error = 8.254508188088039e-14 relative error = 1.102676914364561e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.323999999999779 y2[1] (analytic) = 0.07447964966035625 y2[1] (numeric) = 0.07447964966003567 absolute error = 3.20576898360514e-13 relative error = 4.304221352039326e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07447964966035625 y1[1] (numeric) = 0.07447964966027404 absolute error = 8.221201497349284e-14 relative error = 1.103818497380129e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.324999999999779 y2[1] (analytic) = 0.07410141460784633 y2[1] (numeric) = 0.07410141460752594 absolute error = 3.203964871190124e-13 relative error = 4.323756689593436e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07410141460784633 y1[1] (numeric) = 0.07410141460776445 absolute error = 8.187894806610529e-14 relative error = 1.104957961995984e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.325999999999779 y2[1] (analytic) = 0.07372410545384465 y2[1] (numeric) = 0.07372410545352442 absolute error = 3.202299536653186e-13 relative error = 4.343626168048932e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07372410545384465 y1[1] (numeric) = 0.07372410545376311 absolute error = 8.154588115871775e-14 relative error = 1.106095227018658e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.32699999999978 y2[1] (analytic) = 0.07334772257566034 y2[1] (numeric) = 0.07334772257534027 absolute error = 3.200772979994326e-13 relative error = 4.363834169074076e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07334772257566034 y1[1] (numeric) = 0.07334772257557912 absolute error = 8.122669203913802e-14 relative error = 1.107419415174756e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.32799999999978 y2[1] (analytic) = 0.07297226634967623 y2[1] (numeric) = 0.07297226634935632 absolute error = 3.199107645457389e-13 relative error = 4.38400478084039e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07297226634967623 y1[1] (numeric) = 0.07297226634959533 absolute error = 8.089362513175047e-14 relative error = 1.108553004837699e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.32899999999978 y2[1] (analytic) = 0.0725977371513485 y2[1] (numeric) = 0.07259773715102877 absolute error = 3.197303533042373e-13 relative error = 4.40413662808357e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0725977371513485 y1[1] (numeric) = 0.07259773715126795 absolute error = 8.054668043655511e-14 relative error = 1.109492989686924e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.329999999999781 y2[1] (analytic) = 0.07222413535520635 y2[1] (numeric) = 0.07222413535488678 absolute error = 3.195638198505435e-13 relative error = 4.424612607390771e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07222413535520635 y1[1] (numeric) = 0.07222413535512613 absolute error = 8.021361352916756e-14 relative error = 1.11062061365869e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.330999999999781 y2[1] (analytic) = 0.07185146133485153 y2[1] (numeric) = 0.07185146133453213 absolute error = 3.193972863968497e-13 relative error = 4.445244125354013e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07185146133485153 y1[1] (numeric) = 0.07185146133477165 absolute error = 7.988054662178001e-14 relative error = 1.111745608756798e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.331999999999781 y2[1] (analytic) = 0.07147971546295803 y2[1] (numeric) = 0.07147971546263879 absolute error = 3.192446307309638e-13 relative error = 4.466226938136059e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07147971546295803 y1[1] (numeric) = 0.07147971546287847 absolute error = 7.956135750220028e-14 relative error = 1.113062034269433e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.332999999999782 y2[1] (analytic) = 0.07110889811127169 y2[1] (numeric) = 0.07110889811095261 absolute error = 3.1907809727727e-13 relative error = 4.487175385251708e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07110889811127169 y1[1] (numeric) = 0.07110889811119246 absolute error = 7.922829059481273e-14 relative error = 1.114182510194937e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.333999999999782 y2[1] (analytic) = 0.07073900965060982 y2[1] (numeric) = 0.07073900965029092 absolute error = 3.188976860357684e-13 relative error = 4.508088077721898e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07073900965060982 y1[1] (numeric) = 0.07073900965053093 absolute error = 7.889522368742519e-14 relative error = 1.115300087986814e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.334999999999782 y2[1] (analytic) = 0.07037005045086088 y2[1] (numeric) = 0.07037005045054213 absolute error = 3.187450303698824e-13 relative error = 4.529555234473802e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07037005045086088 y1[1] (numeric) = 0.0703700504507823 absolute error = 7.857603456784545e-14 relative error = 1.116611883385174e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.335999999999783 y2[1] (analytic) = 0.07000202088098401 y2[1] (numeric) = 0.07000202088066543 absolute error = 3.185784969161887e-13 relative error = 4.550989998672028e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07000202088098401 y1[1] (numeric) = 0.07000202088090576 absolute error = 7.824296766045791e-14 relative error = 1.117724412463534e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.336999999999783 y2[1] (analytic) = 0.06963492130900877 y2[1] (numeric) = 0.06963492130869034 absolute error = 3.184258412503027e-13 relative error = 4.572789561106426e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06963492130900877 y1[1] (numeric) = 0.06963492130893084 absolute error = 7.792377854087817e-14 relative error = 1.119033052325674e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.337999999999783 y2[1] (analytic) = 0.06926875210203468 y2[1] (numeric) = 0.06926875210171642 absolute error = 3.182593077966089e-13 relative error = 4.594558125254006e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06926875210203468 y1[1] (numeric) = 0.06926875210195708 absolute error = 7.759071163349063e-14 relative error = 1.120140168242059e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.338999999999784 y2[1] (analytic) = 0.06890351362623093 y2[1] (numeric) = 0.06890351362591284 absolute error = 3.180927743429152e-13 relative error = 4.616495699601307e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06890351362623093 y1[1] (numeric) = 0.06890351362615366 absolute error = 7.72715225139109e-14 relative error = 1.121445314575284e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.339999999999784 y2[1] (analytic) = 0.06853920624683596 y2[1] (numeric) = 0.06853920624651803 absolute error = 3.179262408892214e-13 relative error = 4.638604067637537e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06853920624683596 y1[1] (numeric) = 0.06853920624675902 absolute error = 7.693845560652335e-14 relative error = 1.122546638918439e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.340999999999784 y2[1] (analytic) = 0.06817583032815713 y2[1] (numeric) = 0.06817583032783936 absolute error = 3.177735852233354e-13 relative error = 4.661088595382938e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06817583032815713 y1[1] (numeric) = 0.06817583032808051 absolute error = 7.661926648694362e-14 relative error = 1.123847940217888e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.341999999999785 y2[1] (analytic) = 0.06781338623357032 y2[1] (numeric) = 0.06781338623325271 absolute error = 3.176070517696417e-13 relative error = 4.683545084678482e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06781338623357032 y1[1] (numeric) = 0.06781338623349402 absolute error = 7.630007736736388e-14 relative error = 1.125147726800764e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.342999999999785 y2[1] (analytic) = 0.06745187432551959 y2[1] (numeric) = 0.06745187432520214 absolute error = 3.174543961037557e-13 relative error = 4.706383614660367e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06745187432551959 y1[1] (numeric) = 0.06745187432544361 absolute error = 7.598088824778415e-14 relative error = 1.126445914328547e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.343999999999785 y2[1] (analytic) = 0.06709129496551683 y2[1] (numeric) = 0.06709129496519953 absolute error = 3.173017404378697e-13 relative error = 4.729402534277428e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06709129496551683 y1[1] (numeric) = 0.06709129496544117 absolute error = 7.566169912820442e-14 relative error = 1.127742416763495e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.344999999999786 y2[1] (analytic) = 0.06673164851414136 y2[1] (numeric) = 0.06673164851382421 absolute error = 3.171490847719838e-13 relative error = 4.752603776973612e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06673164851414136 y1[1] (numeric) = 0.06673164851406602 absolute error = 7.534251000862469e-14 relative error = 1.129037146334824e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.345999999999786 y2[1] (analytic) = 0.06637293533103959 y2[1] (numeric) = 0.06637293533072261 absolute error = 3.1698255131829e-13 relative error = 4.775780214289419e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06637293533103959 y1[1] (numeric) = 0.06637293533096458 absolute error = 7.500944310123714e-14 relative error = 1.130120925451351e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.346999999999786 y2[1] (analytic) = 0.0660151557749247 y2[1] (numeric) = 0.06601515577460787 absolute error = 3.16829895652404e-13 relative error = 4.799350875314441e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0660151557749247 y1[1] (numeric) = 0.06601515577485001 absolute error = 7.469025398165741e-14 relative error = 1.131410705691736e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.347999999999787 y2[1] (analytic) = 0.06565831020357621 y2[1] (numeric) = 0.06565831020325953 absolute error = 3.166772399865181e-13 relative error = 4.823109809019569e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06565831020357621 y1[1] (numeric) = 0.06565831020350184 absolute error = 7.437106486207767e-14 relative error = 1.132698429665449e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.348999999999787 y2[1] (analytic) = 0.06530239897383965 y2[1] (numeric) = 0.06530239897352312 absolute error = 3.165245843206321e-13 relative error = 4.847059055938096e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06530239897383965 y1[1] (numeric) = 0.06530239897376559 absolute error = 7.405187574249794e-14 relative error = 1.133984002213508e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.349999999999787 y2[1] (analytic) = 0.06494742244162623 y2[1] (numeric) = 0.06494742244130985 absolute error = 3.163719286547462e-13 relative error = 4.87120068450902e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06494742244162623 y1[1] (numeric) = 0.06494742244155249 absolute error = 7.373268662291821e-14 relative error = 1.135267326262071e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.350999999999788 y2[1] (analytic) = 0.06459338096191243 y2[1] (numeric) = 0.06459338096159623 absolute error = 3.162053952010524e-13 relative error = 4.895321943087378e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06459338096191243 y1[1] (numeric) = 0.06459338096183903 absolute error = 7.339961971553066e-14 relative error = 1.136333454333515e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.351999999999788 y2[1] (analytic) = 0.06424027488873973 y2[1] (numeric) = 0.06424027488842368 absolute error = 3.160527395351664e-13 relative error = 4.919853473269699e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06424027488873973 y1[1] (numeric) = 0.06424027488866665 absolute error = 7.308043059595093e-14 relative error = 1.13761080136288e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.352999999999788 y2[1] (analytic) = 0.06388810457521417 y2[1] (numeric) = 0.06388810457489827 absolute error = 3.159000838692805e-13 relative error = 4.944583752635481e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06388810457521417 y1[1] (numeric) = 0.06388810457514141 absolute error = 7.27612414763712e-14 relative error = 1.138885586920345e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.353999999999789 y2[1] (analytic) = 0.06353687037350601 y2[1] (numeric) = 0.06353687037319027 absolute error = 3.157474282033945e-13 relative error = 4.969514965834023e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06353687037350601 y1[1] (numeric) = 0.06353687037343357 absolute error = 7.244205235679146e-14 relative error = 1.140157705768882e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.354999999999789 y2[1] (analytic) = 0.06318657263484945 y2[1] (numeric) = 0.06318657263453385 absolute error = 3.155947725375086e-13 relative error = 4.994649327813799e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06318657263484945 y1[1] (numeric) = 0.06318657263477732 absolute error = 7.212286323721173e-14 relative error = 1.141427050553991e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.355999999999789 y2[1] (analytic) = 0.06283721170954218 y2[1] (numeric) = 0.06283721170922674 absolute error = 3.154421168716226e-13 relative error = 5.019989084329803e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06283721170954218 y1[1] (numeric) = 0.06283721170947038 absolute error = 7.1803674117632e-14 relative error = 1.142693511760774e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.35699999999979 y2[1] (analytic) = 0.06248878794694511 y2[1] (numeric) = 0.06248878794662981 absolute error = 3.152964000996406e-13 relative error = 5.045647554683519e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06248878794694511 y1[1] (numeric) = 0.06248878794687362 absolute error = 7.149142389195617e-14 relative error = 1.144068019892698e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.35799999999979 y2[1] (analytic) = 0.06214130169548197 y2[1] (numeric) = 0.06214130169516682 absolute error = 3.151506833276585e-13 relative error = 5.071517247450447e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06214130169548197 y1[1] (numeric) = 0.06214130169541079 absolute error = 7.117917366628035e-14 relative error = 1.145440660626771e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.35899999999979 y2[1] (analytic) = 0.06179475330263897 y2[1] (numeric) = 0.06179475330232397 absolute error = 3.149980276617725e-13 relative error = 5.097488230417783e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06179475330263897 y1[1] (numeric) = 0.06179475330256811 absolute error = 7.085998454670062e-14 relative error = 1.146699044167468e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.359999999999791 y2[1] (analytic) = 0.06144914311496449 y2[1] (numeric) = 0.06144914311464964 absolute error = 3.148523108897905e-13 relative error = 5.123786841107563e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06144914311496449 y1[1] (numeric) = 0.06144914311489395 absolute error = 7.054773432102479e-14 relative error = 1.148067015174448e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.360999999999791 y2[1] (analytic) = 0.06110447147806868 y2[1] (numeric) = 0.06110447147775398 absolute error = 3.146996552239045e-13 relative error = 5.150190282504202e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06110447147806868 y1[1] (numeric) = 0.06110447147799845 absolute error = 7.022854520144506e-14 relative error = 1.149319247882721e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.361999999999791 y2[1] (analytic) = 0.06076073873662316 y2[1] (numeric) = 0.06076073873630861 absolute error = 3.145539384519225e-13 relative error = 5.176927486273748e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06076073873662316 y1[1] (numeric) = 0.06076073873655324 absolute error = 6.991629497576923e-14 relative error = 1.150682108702336e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.362999999999792 y2[1] (analytic) = 0.06041794523436063 y2[1] (numeric) = 0.06041794523404622 absolute error = 3.144082216799404e-13 relative error = 5.203888024664757e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06041794523436063 y1[1] (numeric) = 0.06041794523429102 absolute error = 6.960404475009341e-14 relative error = 1.152042567487192e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.363999999999792 y2[1] (analytic) = 0.06007609131407456 y2[1] (numeric) = 0.0600760913137603 absolute error = 3.142625049079584e-13 relative error = 5.231074426347263e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06007609131407456 y1[1] (numeric) = 0.06007609131400527 absolute error = 6.929179452441758e-14 relative error = 1.153400512729162e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.364999999999792 y2[1] (analytic) = 0.05973517731761886 y2[1] (numeric) = 0.05973517731730475 absolute error = 3.141167881359763e-13 relative error = 5.258489256100823e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05973517731761886 y1[1] (numeric) = 0.05973517731754988 absolute error = 6.898648319264566e-14 relative error = 1.154871991520784e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.365999999999793 y2[1] (analytic) = 0.05939520358590748 y2[1] (numeric) = 0.05939520358559351 absolute error = 3.139710713639943e-13 relative error = 5.286135115436984e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05939520358590748 y1[1] (numeric) = 0.05939520358583881 absolute error = 6.867423296696984e-14 relative error = 1.156225230672733e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.366999999999793 y2[1] (analytic) = 0.05905617045891414 y2[1] (numeric) = 0.05905617045860031 absolute error = 3.138322934859161e-13 relative error = 5.314132139744006e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05905617045891414 y1[1] (numeric) = 0.05905617045884577 absolute error = 6.836892163519792e-14 relative error = 1.157693109863308e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.367999999999793 y2[1] (analytic) = 0.05871807827567192 y2[1] (numeric) = 0.05871807827535824 absolute error = 3.136865767139341e-13 relative error = 5.342248689427915e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05871807827567192 y1[1] (numeric) = 0.05871807827560387 absolute error = 6.80566714095221e-14 relative error = 1.15904119153912e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.368999999999794 y2[1] (analytic) = 0.05838092737427299 y2[1] (numeric) = 0.05838092737395945 absolute error = 3.135477988358559e-13 relative error = 5.370723161448589e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05838092737427299 y1[1] (numeric) = 0.05838092737420524 absolute error = 6.775136007775018e-14 relative error = 1.16050503349158e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.369999999999794 y2[1] (analytic) = 0.05804471809186822 y2[1] (numeric) = 0.05804471809155481 absolute error = 3.134090209577778e-13 relative error = 5.399440832182882e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05804471809186822 y1[1] (numeric) = 0.05804471809180078 absolute error = 6.744604874597826e-14 relative error = 1.161967030992043e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.370999999999794 y2[1] (analytic) = 0.05770945076466686 y2[1] (numeric) = 0.0577094507643536 absolute error = 3.132633041857957e-13 relative error = 5.428284276404759e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05770945076466686 y1[1] (numeric) = 0.05770945076459973 absolute error = 6.713379852030243e-14 relative error = 1.163306835028929e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.371999999999795 y2[1] (analytic) = 0.05737512572793621 y2[1] (numeric) = 0.05737512572762309 absolute error = 3.131175874138137e-13 relative error = 5.457375185521472e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05737512572793621 y1[1] (numeric) = 0.05737512572786939 absolute error = 6.682154829462661e-14 relative error = 1.164643169785524e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.372999999999795 y2[1] (analytic) = 0.05704174331600129 y2[1] (numeric) = 0.05704174331568831 absolute error = 3.129788095357355e-13 relative error = 5.486838082803459e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05704174331600129 y1[1] (numeric) = 0.05704174331593477 absolute error = 6.651623696285469e-14 relative error = 1.166097547095754e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.373999999999795 y2[1] (analytic) = 0.05670930386224447 y2[1] (numeric) = 0.05670930386193163 absolute error = 3.128400316576574e-13 relative error = 5.5165556681421e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05670930386224447 y1[1] (numeric) = 0.05670930386217825 absolute error = 6.621092563108277e-14 relative error = 1.167549610411709e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.374999999999796 y2[1] (analytic) = 0.05637780769910517 y2[1] (numeric) = 0.05637780769879247 absolute error = 3.127012537795792e-13 relative error = 5.546530923098353e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05637780769910517 y1[1] (numeric) = 0.05637780769903927 absolute error = 6.590561429931086e-14 relative error = 1.16899923904556e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.375999999999796 y2[1] (analytic) = 0.05604725515807955 y2[1] (numeric) = 0.05604725515776698 absolute error = 3.125624759015011e-13 relative error = 5.576766873238098e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05604725515807955 y1[1] (numeric) = 0.05604725515801395 absolute error = 6.560030296753894e-14 relative error = 1.170446309681274e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.376999999999796 y2[1] (analytic) = 0.0557176465697201 y2[1] (numeric) = 0.05571764656940768 absolute error = 3.12423698023423e-13 relative error = 5.607266588916023e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0557176465697201 y1[1] (numeric) = 0.05571764656965481 absolute error = 6.529499163576702e-14 relative error = 1.171890696317596e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.377999999999797 y2[1] (analytic) = 0.05538898226363539 y2[1] (numeric) = 0.05538898226332311 absolute error = 3.122849201453448e-13 relative error = 5.638033186075882e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05538898226363539 y1[1] (numeric) = 0.0553889822635704 absolute error = 6.49896803039951e-14 relative error = 1.173332270209682e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.378999999999797 y2[1] (analytic) = 0.05506126256848971 y2[1] (numeric) = 0.05506126256817756 absolute error = 3.121461422672667e-13 relative error = 5.669069827067509e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05506126256848971 y1[1] (numeric) = 0.05506126256842502 absolute error = 6.468436897222318e-14 relative error = 1.174770899809344e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.379999999999797 y2[1] (analytic) = 0.05473448781200271 y2[1] (numeric) = 0.0547344878116907 absolute error = 3.120073643891885e-13 relative error = 5.700379721480988e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05473448781200271 y1[1] (numeric) = 0.05473448781193833 absolute error = 6.437905764045126e-14 relative error = 1.176206450703894e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.380999999999798 y2[1] (analytic) = 0.05440865832094913 y2[1] (numeric) = 0.05440865832063725 absolute error = 3.118755254050143e-13 relative error = 5.732093659896994e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05440865832094913 y1[1] (numeric) = 0.05440865832088505 absolute error = 6.408068520258325e-14 relative error = 1.177766318452115e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.381999999999798 y2[1] (analytic) = 0.05408377442115843 y2[1] (numeric) = 0.05408377442084669 absolute error = 3.1174368642084e-13 relative error = 5.764088948253601e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05408377442115843 y1[1] (numeric) = 0.05408377442109465 absolute error = 6.378231276471524e-14 relative error = 1.179324362017208e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.382999999999798 y2[1] (analytic) = 0.05375983643751447 y2[1] (numeric) = 0.05375983643720287 absolute error = 3.116049085427619e-13 relative error = 5.796239891930158e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05375983643751447 y1[1] (numeric) = 0.053759836437451 absolute error = 6.347700143294333e-14 relative error = 1.180751386896856e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.383999999999799 y2[1] (analytic) = 0.05343684469395524 y2[1] (numeric) = 0.05343684469364376 absolute error = 3.114730695585877e-13 relative error = 5.828807283485086e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05343684469395524 y1[1] (numeric) = 0.05343684469389206 absolute error = 6.317862899507531e-14 relative error = 1.182304631886734e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.384999999999799 y2[1] (analytic) = 0.05311479951347243 y2[1] (numeric) = 0.05311479951316109 absolute error = 3.113412305744134e-13 relative error = 5.861666304425051e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05311479951347243 y1[1] (numeric) = 0.05311479951340955 absolute error = 6.28802565572073e-14 relative error = 1.183855669854461e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.385999999999799 y2[1] (analytic) = 0.05279370121811119 y2[1] (numeric) = 0.05279370121779998 absolute error = 3.112093915902392e-13 relative error = 5.894820488234247e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05279370121811119 y1[1] (numeric) = 0.05279370121804861 absolute error = 6.258188411933929e-14 relative error = 1.185404369752167e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.3869999999998 y2[1] (analytic) = 0.05247355012896981 y2[1] (numeric) = 0.05247355012865873 absolute error = 3.11077552606065e-13 relative error = 5.928273422352722e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05247355012896981 y1[1] (numeric) = 0.05247355012890753 absolute error = 6.227657278756737e-14 relative error = 1.186818361526972e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.3879999999998 y2[1] (analytic) = 0.05215434656619933 y2[1] (numeric) = 0.05215434656588839 absolute error = 3.109457136218907e-13 relative error = 5.962028749170664e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05215434656619933 y1[1] (numeric) = 0.05215434656613736 absolute error = 6.197820034969936e-14 relative error = 1.188361170837998e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.3889999999998 y2[1] (analytic) = 0.05183609084900331 y2[1] (numeric) = 0.05183609084869249 absolute error = 3.108208135316204e-13 relative error = 5.996224029258502e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05183609084900331 y1[1] (numeric) = 0.05183609084894163 absolute error = 6.168676680573526e-14 relative error = 1.190035085504935e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.389999999999801 y2[1] (analytic) = 0.05151878329563742 y2[1] (numeric) = 0.05151878329532673 absolute error = 3.106889745474462e-13 relative error = 6.03059611801343e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05151878329563742 y1[1] (numeric) = 0.05151878329557603 absolute error = 6.138839436786725e-14 relative error = 1.191573062112e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.390999999999801 y2[1] (analytic) = 0.0512024242234092 y2[1] (numeric) = 0.05120242422309864 absolute error = 3.105640744571758e-13 relative error = 6.065417393170795e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0512024242234092 y1[1] (numeric) = 0.05120242422334811 absolute error = 6.109696082390315e-14 relative error = 1.193243518262369e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.391999999999801 y2[1] (analytic) = 0.05088701394867769 y2[1] (numeric) = 0.05088701394836725 absolute error = 3.104391743669055e-13 relative error = 6.100557888501774e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05088701394867769 y1[1] (numeric) = 0.0508870139486169 absolute error = 6.079858838603514e-14 relative error = 1.194776106284283e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.392999999999802 y2[1] (analytic) = 0.05057255278685314 y2[1] (numeric) = 0.05057255278654283 absolute error = 3.103073353827313e-13 relative error = 6.135884353921696e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05057255278685314 y1[1] (numeric) = 0.05057255278679264 absolute error = 6.050021594816712e-14 relative error = 1.19630535961188e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.393999999999802 y2[1] (analytic) = 0.05025904105239668 y2[1] (numeric) = 0.0502590410520865 absolute error = 3.101824352924609e-13 relative error = 6.171674365395983e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05025904105239668 y1[1] (numeric) = 0.05025904105233647 absolute error = 6.020878240420302e-14 relative error = 1.197969184120195e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.394999999999802 y2[1] (analytic) = 0.04994647905882003 y2[1] (numeric) = 0.04994647905850997 absolute error = 3.100575352021906e-13 relative error = 6.207795645355659e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04994647905882003 y1[1] (numeric) = 0.04994647905876011 absolute error = 5.991734886023892e-14 relative error = 1.19963108489943e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.395999999999803 y2[1] (analytic) = 0.04963486711868514 y2[1] (numeric) = 0.04963486711837521 absolute error = 3.099326351119203e-13 relative error = 6.244252339203816e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04963486711868514 y1[1] (numeric) = 0.04963486711862552 absolute error = 5.962591531627481e-14 relative error = 1.201290922643138e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.396999999999803 y2[1] (analytic) = 0.04932420554360394 y2[1] (numeric) = 0.04932420554329414 absolute error = 3.09800796127746e-13 relative error = 6.280907978413837e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04932420554360394 y1[1] (numeric) = 0.04932420554354462 absolute error = 5.93275428784068e-14 relative error = 1.202807875454976e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.397999999999803 y2[1] (analytic) = 0.04901449464423798 y2[1] (numeric) = 0.04901449464392831 absolute error = 3.096758960374757e-13 relative error = 6.318047309988544e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04901449464423798 y1[1] (numeric) = 0.04901449464417895 absolute error = 5.90361093344427e-14 relative error = 1.204462266987442e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.398999999999804 y2[1] (analytic) = 0.04870573473029812 y2[1] (numeric) = 0.04870573472998857 absolute error = 3.095509959472054e-13 relative error = 6.355534880262151e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04870573473029812 y1[1] (numeric) = 0.04870573473023938 absolute error = 5.873773689657469e-14 relative error = 1.205971683248954e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.399999999999804 y2[1] (analytic) = 0.04839792611054426 y2[1] (numeric) = 0.04839792611023484 absolute error = 3.09426095856935e-13 relative error = 6.393375103515471e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04839792611054426 y1[1] (numeric) = 0.04839792611048582 absolute error = 5.844630335261058e-14 relative error = 1.207619996342718e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.400999999999804 y2[1] (analytic) = 0.04809106909278499 y2[1] (numeric) = 0.04809106909247569 absolute error = 3.093011957666647e-13 relative error = 6.431572464523742e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04809106909278499 y1[1] (numeric) = 0.04809106909272683 absolute error = 5.815486980864648e-14 relative error = 1.209265481215333e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.401999999999805 y2[1] (analytic) = 0.0477851639838773 y2[1] (numeric) = 0.04778516398356812 absolute error = 3.091832345702983e-13 relative error = 6.470276730129388e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0477851639838773 y1[1] (numeric) = 0.04778516398381943 absolute error = 5.787037515858628e-14 relative error = 1.21105318751468e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.402999999999805 y2[1] (analytic) = 0.04748021108972628 y2[1] (numeric) = 0.04748021108941722 absolute error = 3.09058334480028e-13 relative error = 6.509203042420797e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04748021108972628 y1[1] (numeric) = 0.0474802110896687 absolute error = 5.757894161462218e-14 relative error = 1.212693463089532e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.403999999999805 y2[1] (analytic) = 0.04717621071528479 y2[1] (numeric) = 0.04717621071497585 absolute error = 3.089334343897576e-13 relative error = 6.548500392585901e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04717621071528479 y1[1] (numeric) = 0.0471762107152275 absolute error = 5.728750807065808e-14 relative error = 1.214330426332806e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.404999999999806 y2[1] (analytic) = 0.04687316316455318 y2[1] (numeric) = 0.04687316316424437 absolute error = 3.088085342994873e-13 relative error = 6.588173561391246e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04687316316455318 y1[1] (numeric) = 0.04687316316449618 absolute error = 5.699607452669397e-14 relative error = 1.215963905115668e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.405999999999806 y2[1] (analytic) = 0.04657106874057899 y2[1] (numeric) = 0.0465710687402703 absolute error = 3.086905731031209e-13 relative error = 6.628376403012372e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04657106874057899 y1[1] (numeric) = 0.04657106874052228 absolute error = 5.671157987663378e-14 relative error = 1.217742719037474e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.406999999999806 y2[1] (analytic) = 0.04626992774545659 y2[1] (numeric) = 0.04626992774514803 absolute error = 3.085656730128505e-13 relative error = 6.668816833048755e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04626992774545659 y1[1] (numeric) = 0.04626992774540017 absolute error = 5.642014633266967e-14 relative error = 1.219369665823819e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.407999999999807 y2[1] (analytic) = 0.04596974048032698 y2[1] (numeric) = 0.04596974048001853 absolute error = 3.084477118164841e-13 relative error = 6.709798850147656e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04596974048032698 y1[1] (numeric) = 0.04596974048027085 absolute error = 5.612871278870557e-14 relative error = 1.220992596482597e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.408999999999807 y2[1] (analytic) = 0.04567050724537739 y2[1] (numeric) = 0.04567050724506906 absolute error = 3.083297506201177e-13 relative error = 6.751178588044382e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04567050724537739 y1[1] (numeric) = 0.04567050724532155 absolute error = 5.584421813864537e-14 relative error = 1.222763255914959e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.409999999999807 y2[1] (analytic) = 0.04537222833984102 y2[1] (numeric) = 0.04537222833953281 absolute error = 3.082117894237513e-13 relative error = 6.792961260690667e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04537222833984102 y1[1] (numeric) = 0.04537222833978546 absolute error = 5.555972348858518e-14 relative error = 1.22453151457405e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.410999999999808 y2[1] (analytic) = 0.04507490406199677 y2[1] (numeric) = 0.04507490406168867 absolute error = 3.080938282273848e-13 relative error = 6.835152168125028e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04507490406199677 y1[1] (numeric) = 0.04507490406194149 absolute error = 5.527522883852498e-14 relative error = 1.226297204371162e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.411999999999808 y2[1] (analytic) = 0.04477853470916887 y2[1] (numeric) = 0.0447785347088609 absolute error = 3.079758670310184e-13 relative error = 6.877756698187741e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04477853470916887 y1[1] (numeric) = 0.04477853470911388 absolute error = 5.499073418846478e-14 relative error = 1.228060153053755e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.412999999999808 y2[1] (analytic) = 0.04448312057772666 y2[1] (numeric) = 0.04448312057741881 absolute error = 3.078509669407481e-13 relative error = 6.920624338906959e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04448312057772666 y1[1] (numeric) = 0.04448312057767196 absolute error = 5.469930064450068e-14 relative error = 1.229664194734787e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.413999999999809 y2[1] (analytic) = 0.04418866196308426 y2[1] (numeric) = 0.04418866196277652 absolute error = 3.077399446382856e-13 relative error = 6.964228627139135e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04418866196308426 y1[1] (numeric) = 0.04418866196302983 absolute error = 5.442174488834439e-14 relative error = 1.231577116632519e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.414999999999809 y2[1] (analytic) = 0.04389515915970023 y2[1] (numeric) = 0.04389515915939261 absolute error = 3.076219834419192e-13 relative error = 7.008107256718738e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04389515915970023 y1[1] (numeric) = 0.04389515915964609 absolute error = 5.41372502382842e-14 relative error = 1.233330765274617e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.415999999999809 y2[1] (analytic) = 0.04360261246107737 y2[1] (numeric) = 0.04360261246076987 absolute error = 3.075040222455527e-13 relative error = 7.052421974028541e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04360261246107737 y1[1] (numeric) = 0.04360261246102352 absolute error = 5.3852755588224e-14 relative error = 1.23508094007662e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.41699999999981 y2[1] (analytic) = 0.04331102215976235 y2[1] (numeric) = 0.04331102215945496 absolute error = 3.073929999430902e-13 relative error = 7.097338843890653e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04331102215976235 y1[1] (numeric) = 0.04331102215970878 absolute error = 5.357519983206771e-14 relative error = 1.236987657193673e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.41799999999981 y2[1] (analytic) = 0.04302038854734545 y2[1] (numeric) = 0.04302038854703817 absolute error = 3.072819776406277e-13 relative error = 7.14270577315807e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04302038854734545 y1[1] (numeric) = 0.04302038854729216 absolute error = 5.329764407591142e-14 relative error = 1.238892671024007e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.41899999999981 y2[1] (analytic) = 0.04273071191446026 y2[1] (numeric) = 0.04273071191415309 absolute error = 3.071640164442613e-13 relative error = 7.18836646249078e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04273071191446026 y1[1] (numeric) = 0.04273071191440724 absolute error = 5.301314942585122e-14 relative error = 1.240633423846874e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.419999999999811 y2[1] (analytic) = 0.04244199255078338 y2[1] (numeric) = 0.04244199255047632 absolute error = 3.070529941417988e-13 relative error = 7.234650771270901e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04244199255078338 y1[1] (numeric) = 0.04244199255073064 absolute error = 5.273559366969494e-14 relative error = 1.242533408548029e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.420999999999811 y2[1] (analytic) = 0.04215423074503415 y2[1] (numeric) = 0.0421542307447272 absolute error = 3.069419718393362e-13 relative error = 7.281403702889173e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04215423074503415 y1[1] (numeric) = 0.04215423074498169 absolute error = 5.245803791353865e-14 relative error = 1.244431151663663e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.421999999999811 y2[1] (analytic) = 0.04186742678497435 y2[1] (numeric) = 0.04186742678466752 absolute error = 3.068240106429698e-13 relative error = 7.328465926955053e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04186742678497435 y1[1] (numeric) = 0.04186742678492218 absolute error = 5.217354326347845e-14 relative error = 1.246160733293569e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.422999999999812 y2[1] (analytic) = 0.04158158095740792 y2[1] (numeric) = 0.04158158095710121 absolute error = 3.067129883405073e-13 relative error = 7.376174288675408e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04158158095740792 y1[1] (numeric) = 0.04158158095735603 absolute error = 5.189598750732216e-14 relative error = 1.248052294127039e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.423999999999812 y2[1] (analytic) = 0.04129669354818068 y2[1] (numeric) = 0.04129669354787407 absolute error = 3.066019660380448e-13 relative error = 7.424370807806527e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04129669354818068 y1[1] (numeric) = 0.04129669354812906 absolute error = 5.161843175116587e-14 relative error = 1.249941031984628e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.424999999999812 y2[1] (analytic) = 0.04101276484217999 y2[1] (numeric) = 0.04101276484187349 absolute error = 3.064978826294862e-13 relative error = 7.473231414875627e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04101276484217999 y1[1] (numeric) = 0.04101276484212864 absolute error = 5.134781488891349e-14 relative error = 1.251995935570389e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.425999999999813 y2[1] (analytic) = 0.04072979512333454 y2[1] (numeric) = 0.04072979512302816 absolute error = 3.063868603270237e-13 relative error = 7.522425767162558e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04072979512333454 y1[1] (numeric) = 0.04072979512328348 absolute error = 5.106332023885329e-14 relative error = 1.253709233847792e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.426999999999813 y2[1] (analytic) = 0.04044778467461404 y2[1] (numeric) = 0.04044778467430776 absolute error = 3.062827769184651e-13 relative error = 7.572300420959648e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04044778467461404 y1[1] (numeric) = 0.04044778467456325 absolute error = 5.079270337660091e-14 relative error = 1.255759834196298e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.427999999999813 y2[1] (analytic) = 0.04016673377802889 y2[1] (numeric) = 0.04016673377772272 absolute error = 3.061717546160025e-13 relative error = 7.622520574064644e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04016673377802889 y1[1] (numeric) = 0.04016673377797838 absolute error = 5.051514762044462e-14 relative error = 1.25763642868259e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.428999999999814 y2[1] (analytic) = 0.03988664271462999 y2[1] (numeric) = 0.03988664271432392 absolute error = 3.060746101013478e-13 relative error = 7.673611747450556e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03988664271462999 y1[1] (numeric) = 0.03988664271457975 absolute error = 5.024453075819224e-14 relative error = 1.259683125442972e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.429999999999814 y2[1] (analytic) = 0.03960751176450836 y2[1] (numeric) = 0.03960751176420239 absolute error = 3.059635877988853e-13 relative error = 7.724887885359521e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03960751176450836 y1[1] (numeric) = 0.03960751176445839 absolute error = 4.996697500203595e-14 relative error = 1.261552992753525e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.430999999999814 y2[1] (analytic) = 0.03932934120679493 y2[1] (numeric) = 0.03932934120648907 absolute error = 3.058595043903267e-13 relative error = 7.776878406940703e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03932934120679493 y1[1] (numeric) = 0.03932934120674524 absolute error = 4.969635813978357e-14 relative error = 1.263594980614563e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.431999999999815 y2[1] (analytic) = 0.03905213131966025 y2[1] (numeric) = 0.03905213131935449 absolute error = 3.057554209817681e-13 relative error = 7.829417003620487e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03905213131966025 y1[1] (numeric) = 0.03905213131961082 absolute error = 4.942574127753119e-14 relative error = 1.26563492458217e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.432999999999815 y2[1] (analytic) = 0.03877588238031416 y2[1] (numeric) = 0.03877588238000851 absolute error = 3.056513375732095e-13 relative error = 7.882511468736644e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03877588238031416 y1[1] (numeric) = 0.038775882380265 absolute error = 4.915512441527881e-14 relative error = 1.267672620139626e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.433999999999815 y2[1] (analytic) = 0.03850059466500559 y2[1] (numeric) = 0.03850059466470004 absolute error = 3.055472541646509e-13 relative error = 7.936169735122882e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03850059466500559 y1[1] (numeric) = 0.03850059466495671 absolute error = 4.888450755302642e-14 relative error = 1.269707857199907e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.434999999999816 y2[1] (analytic) = 0.03822626844902224 y2[1] (numeric) = 0.03822626844871679 absolute error = 3.054501096499962e-13 relative error = 7.990581399734012e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03822626844902224 y1[1] (numeric) = 0.03822626844897362 absolute error = 4.861389069077404e-14 relative error = 1.271740419957667e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.435999999999816 y2[1] (analytic) = 0.03795290400669028 y2[1] (numeric) = 0.03795290400638494 absolute error = 3.053460262414376e-13 relative error = 8.045392947733634e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03795290400669028 y1[1] (numeric) = 0.03795290400664194 absolute error = 4.834327382852166e-14 relative error = 1.273770086736967e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.436999999999816 y2[1] (analytic) = 0.03768050161137415 y2[1] (numeric) = 0.03768050161106891 absolute error = 3.05241942832879e-13 relative error = 8.100792977255359e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03768050161137415 y1[1] (numeric) = 0.03768050161132608 absolute error = 4.807265696626928e-14 relative error = 1.275796629834624e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.437999999999817 y2[1] (analytic) = 0.03740906153547621 y2[1] (numeric) = 0.03740906153517107 absolute error = 3.051378594243204e-13 relative error = 8.156790010221142e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03740906153547621 y1[1] (numeric) = 0.03740906153542841 absolute error = 4.78020401040169e-14 relative error = 1.277819815359033e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.438999999999817 y2[1] (analytic) = 0.03713858405043653 y2[1] (numeric) = 0.03713858405013149 absolute error = 3.050407149096657e-13 relative error = 8.213579561767923e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03713858405043653 y1[1] (numeric) = 0.03713858405038899 absolute error = 4.753836213566842e-14 relative error = 1.280026240933374e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.439999999999817 y2[1] (analytic) = 0.03686906942673256 y2[1] (numeric) = 0.03686906942642762 absolute error = 3.049366315011071e-13 relative error = 8.270798157981375e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03686906942673256 y1[1] (numeric) = 0.03686906942668529 absolute error = 4.726774527341604e-14 relative error = 1.282043349842286e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.440999999999818 y2[1] (analytic) = 0.0366005179338789 y2[1] (numeric) = 0.03660051793357406 absolute error = 3.048394869864524e-13 relative error = 8.328829868942396e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0366005179338789 y1[1] (numeric) = 0.03660051793383189 absolute error = 4.700406730506757e-14 relative error = 1.284245960398247e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.441999999999818 y2[1] (analytic) = 0.03633292984042702 y2[1] (numeric) = 0.03633292984012228 absolute error = 3.047423424717977e-13 relative error = 8.387497066991722e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03633292984042702 y1[1] (numeric) = 0.03633292984038029 absolute error = 4.673345044281518e-14 relative error = 1.28625603957806e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.442999999999818 y2[1] (analytic) = 0.03606630541396499 y2[1] (numeric) = 0.03606630541366036 absolute error = 3.04638259063239e-13 relative error = 8.446616740102303e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03606630541396499 y1[1] (numeric) = 0.03606630541391853 absolute error = 4.64628335805628e-14 relative error = 1.288261524080929e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.443999999999819 y2[1] (analytic) = 0.03580064492111723 y2[1] (numeric) = 0.03580064492081269 absolute error = 3.045411145485843e-13 relative error = 8.50658180095937e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03580064492111723 y1[1] (numeric) = 0.03580064492107103 absolute error = 4.619915561221433e-14 relative error = 1.290455960053487e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.444999999999819 y2[1] (analytic) = 0.0355359486275442 y2[1] (numeric) = 0.03553594862723975 absolute error = 3.044509089278336e-13 relative error = 8.567406265661111e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0355359486275442 y1[1] (numeric) = 0.03553594862749827 absolute error = 4.593547764386585e-14 relative error = 1.292648132889884e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.445999999999819 y2[1] (analytic) = 0.03527221679794217 y2[1] (numeric) = 0.03527221679763781 absolute error = 3.043537644131789e-13 relative error = 8.628710981129355e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03527221679794217 y1[1] (numeric) = 0.0352722167978965 absolute error = 4.566486078161347e-14 relative error = 1.294641078081535e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.44699999999982 y2[1] (analytic) = 0.03500944969604294 y2[1] (numeric) = 0.03500944969573868 absolute error = 3.042635587924281e-13 relative error = 8.69089806992363e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03500944969604294 y1[1] (numeric) = 0.03500944969599754 absolute error = 4.5401182813265e-14 relative error = 1.296826519909469e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.44799999999982 y2[1] (analytic) = 0.03474764758461361 y2[1] (numeric) = 0.03474764758430944 absolute error = 3.041664142777734e-13 relative error = 8.753582916285229e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03474764758461361 y1[1] (numeric) = 0.03474764758456847 absolute error = 4.513750484491652e-14 relative error = 1.299008939670022e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.44899999999982 y2[1] (analytic) = 0.03448681072545625 y2[1] (numeric) = 0.03448681072515218 absolute error = 3.040692697631187e-13 relative error = 8.816972731510704e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03448681072545625 y1[1] (numeric) = 0.03448681072541138 absolute error = 4.487382687656805e-14 relative error = 1.301188075458792e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.449999999999821 y2[1] (analytic) = 0.03422693937940771 y2[1] (numeric) = 0.03422693937910373 absolute error = 3.039790641423679e-13 relative error = 8.881280934083571e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03422693937940771 y1[1] (numeric) = 0.03422693937936309 absolute error = 4.461708780212348e-14 relative error = 1.303566389841065e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.450999999999821 y2[1] (analytic) = 0.03396803380633931 y2[1] (numeric) = 0.03396803380603543 absolute error = 3.038819196277132e-13 relative error = 8.946114495770461e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03396803380633931 y1[1] (numeric) = 0.03396803380629496 absolute error = 4.4353409833775e-14 relative error = 1.305739687102452e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.451999999999821 y2[1] (analytic) = 0.0337100942651566 y2[1] (numeric) = 0.03371009426485281 absolute error = 3.037917140069624e-13 relative error = 9.011891560355774e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0337100942651566 y1[1] (numeric) = 0.03371009426511251 absolute error = 4.408973186542653e-14 relative error = 1.307908886834485e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.452999999999822 y2[1] (analytic) = 0.0334531210137991 y2[1] (numeric) = 0.0334531210134954 absolute error = 3.037015083862116e-13 relative error = 9.07842076262294e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0334531210137991 y1[1] (numeric) = 0.03345312101375528 absolute error = 4.382605389707805e-14 relative error = 1.310073696233012e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.453999999999822 y2[1] (analytic) = 0.03319711430924004 y2[1] (numeric) = 0.03319711430893644 absolute error = 3.036043638715569e-13 relative error = 9.145504667767222e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03319711430924004 y1[1] (numeric) = 0.03319711430919648 absolute error = 4.356237592872958e-14 relative error = 1.312233814148252e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.454999999999822 y2[1] (analytic) = 0.03294207440748612 y2[1] (numeric) = 0.03294207440718259 absolute error = 3.0352109714471e-13 relative error = 9.213782149545948e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03294207440748612 y1[1] (numeric) = 0.03294207440744281 absolute error = 4.330563685428501e-14 relative error = 1.314599570100047e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.455999999999823 y2[1] (analytic) = 0.03268800156357719 y2[1] (numeric) = 0.03268800156327376 absolute error = 3.034308915239592e-13 relative error = 9.282638185567728e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03268800156357719 y1[1] (numeric) = 0.03268800156353414 absolute error = 4.304195888593654e-14 relative error = 1.316751004255222e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.456999999999823 y2[1] (analytic) = 0.03243489603158609 y2[1] (numeric) = 0.03243489603128275 absolute error = 3.033406859032084e-13 relative error = 9.352294072649595e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03243489603158609 y1[1] (numeric) = 0.0324348960315433 absolute error = 4.278521981149197e-14 relative error = 1.319110743250924e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.457999999999823 y2[1] (analytic) = 0.03218275806461832 y2[1] (numeric) = 0.03218275806431507 absolute error = 3.032504802824576e-13 relative error = 9.422762327379601e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03218275806461832 y1[1] (numeric) = 0.03218275806457579 absolute error = 4.25284807370474e-14 relative error = 1.321467869585831e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.458999999999824 y2[1] (analytic) = 0.03193158791481185 y2[1] (numeric) = 0.03193158791450868 absolute error = 3.031672135556107e-13 relative error = 9.494273017815784e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03193158791481185 y1[1] (numeric) = 0.03193158791476958 absolute error = 4.227174166260284e-14 relative error = 1.323822096645391e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.459999999999824 y2[1] (analytic) = 0.03168138583333679 y2[1] (numeric) = 0.0316813858330337 absolute error = 3.030839468287638e-13 relative error = 9.566625286632608e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03168138583333679 y1[1] (numeric) = 0.03168138583329477 absolute error = 4.201500258815827e-14 relative error = 1.326173129205349e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.460999999999824 y2[1] (analytic) = 0.03143215207039519 y2[1] (numeric) = 0.0314321520700922 absolute error = 3.02993741208013e-13 relative error = 9.639611711264017e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03143215207039519 y1[1] (numeric) = 0.03143215207035344 absolute error = 4.175132461980979e-14 relative error = 1.328299905342271e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.461999999999825 y2[1] (analytic) = 0.03118388687522082 y2[1] (numeric) = 0.03118388687491791 absolute error = 3.029104744811661e-13 relative error = 9.713685650965573e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03118388687522082 y1[1] (numeric) = 0.03118388687517933 absolute error = 4.149805499231718e-14 relative error = 1.330753127676722e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.462999999999825 y2[1] (analytic) = 0.03093659049607884 y2[1] (numeric) = 0.03093659049577602 absolute error = 3.028272077543193e-13 relative error = 9.788641957577777e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03093659049607884 y1[1] (numeric) = 0.0309365904960376 absolute error = 4.124478536482457e-14 relative error = 1.333203973141522e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.463999999999825 y2[1] (analytic) = 0.03069026318026561 y2[1] (numeric) = 0.03069026317996287 absolute error = 3.027404715805204e-13 relative error = 9.864381735741776e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03069026318026561 y1[1] (numeric) = 0.03069026318022462 absolute error = 4.098804629038e-14 relative error = 1.335539094260229e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.464999999999826 y2[1] (analytic) = 0.03044490517410842 y2[1] (numeric) = 0.03044490517380577 absolute error = 3.026572048536735e-13 relative error = 9.941144606062541e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03044490517410842 y1[1] (numeric) = 0.03044490517406769 absolute error = 4.073477666288738e-14 relative error = 1.337983364702015e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.465999999999826 y2[1] (analytic) = 0.03020051672296527 y2[1] (numeric) = 0.03020051672266269 absolute error = 3.025774075737786e-13 relative error = 1.001894803156433e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03020051672296527 y1[1] (numeric) = 0.03020051672292478 absolute error = 4.048497648234672e-14 relative error = 1.34053919850851e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.466999999999826 y2[1] (analytic) = 0.02995709807122457 y2[1] (numeric) = 0.02995709807092208 absolute error = 3.024941408469317e-13 relative error = 1.009757821427616e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02995709807122457 y1[1] (numeric) = 0.02995709807118434 absolute error = 4.023170685485411e-14 relative error = 1.342977439243318e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.467999999999827 y2[1] (analytic) = 0.02971464946230496 y2[1] (numeric) = 0.02971464946200255 absolute error = 3.024108741200848e-13 relative error = 1.017716444892656e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02971464946230496 y1[1] (numeric) = 0.02971464946226499 absolute error = 3.99784372273615e-14 relative error = 1.345411706036675e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.468999999999827 y2[1] (analytic) = 0.02947317113865504 y2[1] (numeric) = 0.02947317113835271 absolute error = 3.023310768401899e-13 relative error = 1.025784010203343e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02947317113865504 y1[1] (numeric) = 0.02947317113861531 absolute error = 3.972863704682084e-14 relative error = 1.347959364803993e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.469999999999827 y2[1] (analytic) = 0.0292326633417531 y2[1] (numeric) = 0.02923266334145085 absolute error = 3.02251279560295e-13 relative error = 1.033950536859187e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0292326633417531 y1[1] (numeric) = 0.02923266334171363 absolute error = 3.947883686628018e-14 relative error = 1.350504276833799e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.470999999999828 y2[1] (analytic) = 0.02899312631210693 y2[1] (numeric) = 0.02899312631180476 absolute error = 3.021714822804e-13 relative error = 1.042217658860126e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02899312631210693 y1[1] (numeric) = 0.0289931263120677 absolute error = 3.922903668573952e-14 relative error = 1.353046106978752e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.471999999999828 y2[1] (analytic) = 0.02875456028925352 y2[1] (numeric) = 0.02875456028895143 absolute error = 3.020916850005051e-13 relative error = 1.050587044147589e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02875456028925352 y1[1] (numeric) = 0.02875456028921454 absolute error = 3.897923650519886e-14 relative error = 1.355584509486191e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.472999999999828 y2[1] (analytic) = 0.02851696551175889 y2[1] (numeric) = 0.02851696551145688 absolute error = 3.020153571675621e-13 relative error = 1.059072561710771e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02851696551175889 y1[1] (numeric) = 0.02851696551172016 absolute error = 3.873290577161015e-14 relative error = 1.358240790228495e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.473999999999829 y2[1] (analytic) = 0.02828034221721779 y2[1] (numeric) = 0.02828034221691586 absolute error = 3.019355598876672e-13 relative error = 1.067651719235e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02828034221721779 y1[1] (numeric) = 0.02828034221717931 absolute error = 3.848310559106949e-14 relative error = 1.360772274093628e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.474999999999829 y2[1] (analytic) = 0.0280446906422535 y2[1] (numeric) = 0.02804469064195164 absolute error = 3.018592320547242e-13 relative error = 1.076350728575798e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0280446906422535 y1[1] (numeric) = 0.02804469064221526 absolute error = 3.823677485748078e-14 relative error = 1.363422950363068e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.475999999999829 y2[1] (analytic) = 0.02781001102251757 y2[1] (numeric) = 0.02781001102221579 absolute error = 3.017863736687332e-13 relative error = 1.085171715409889e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02781001102251757 y1[1] (numeric) = 0.02781001102247958 absolute error = 3.799391357084403e-14 relative error = 1.366195559580347e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.47699999999983 y2[1] (analytic) = 0.02757630359268961 y2[1] (numeric) = 0.0275763035923879 absolute error = 3.017100458357902e-13 relative error = 1.094091689343646e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02757630359268961 y1[1] (numeric) = 0.02757630359265186 absolute error = 3.774758283725532e-14 relative error = 1.368841284705833e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.47799999999983 y2[1] (analytic) = 0.02734356858647701 y2[1] (numeric) = 0.02734356858617538 absolute error = 3.016337180028472e-13 relative error = 1.10312491600684e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02734356858647701 y1[1] (numeric) = 0.02734356858643951 absolute error = 3.750472155061857e-14 relative error = 1.37161034529951e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.47899999999983 y2[1] (analytic) = 0.02711180623661478 y2[1] (numeric) = 0.02711180623631322 absolute error = 3.015573901699042e-13 relative error = 1.112273330438043e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02711180623661478 y1[1] (numeric) = 0.02711180623657752 absolute error = 3.725839081702986e-14 relative error = 1.374249671595544e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.479999999999831 y2[1] (analytic) = 0.02688101677486523 y2[1] (numeric) = 0.02688101677456375 absolute error = 3.014810623369613e-13 relative error = 1.121538909267962e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02688101677486523 y1[1] (numeric) = 0.02688101677482822 absolute error = 3.701206008344116e-14 relative error = 1.376884676402897e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.480999999999831 y2[1] (analytic) = 0.02665120043201782 y2[1] (numeric) = 0.02665120043171641 absolute error = 3.014082039509702e-13 relative error = 1.130936689774277e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02665120043201782 y1[1] (numeric) = 0.02665120043198105 absolute error = 3.67691987968044e-14 relative error = 1.37964512670248e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.481999999999831 y2[1] (analytic) = 0.02642235743788886 y2[1] (numeric) = 0.02642235743758753 absolute error = 3.013353455649792e-13 relative error = 1.140455942560498e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02642235743788886 y1[1] (numeric) = 0.02642235743785233 absolute error = 3.652633751016765e-14 relative error = 1.382402671526576e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.482999999999832 y2[1] (analytic) = 0.02619448802132134 y2[1] (numeric) = 0.02619448802102007 absolute error = 3.012624871789882e-13 relative error = 1.150098780070722e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02619448802132134 y1[1] (numeric) = 0.02619448802128505 absolute error = 3.62834762235309e-14 relative error = 1.385156915225734e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.483999999999832 y2[1] (analytic) = 0.02596759241018464 y2[1] (numeric) = 0.02596759240988345 absolute error = 3.011896287929972e-13 relative error = 1.159867360960537e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02596759241018464 y1[1] (numeric) = 0.0259675924101486 absolute error = 3.604061493689414e-14 relative error = 1.387907448930799e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.484999999999832 y2[1] (analytic) = 0.02574167083137436 y2[1] (numeric) = 0.02574167083107324 absolute error = 3.011202398539581e-13 relative error = 1.169777369256652e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02574167083137436 y1[1] (numeric) = 0.02574167083133856 absolute error = 3.580122309720934e-14 relative error = 1.390788629523389e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.485999999999833 y2[1] (analytic) = 0.02551672351081207 y2[1] (numeric) = 0.02551672351051102 absolute error = 3.01050850914919e-13 relative error = 1.179817819428722e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02551672351081207 y1[1] (numeric) = 0.02551672351077651 absolute error = 3.555836181057259e-14 relative error = 1.393531649763169e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.486999999999833 y2[1] (analytic) = 0.02529275067344506 y2[1] (numeric) = 0.02529275067314407 absolute error = 3.009814619758799e-13 relative error = 1.189991020991961e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02529275067344506 y1[1] (numeric) = 0.02529275067340974 absolute error = 3.531896997088779e-14 relative error = 1.396406837156281e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.487999999999833 y2[1] (analytic) = 0.02506975254324615 y2[1] (numeric) = 0.02506975254294523 absolute error = 3.009120730368409e-13 relative error = 1.200299334896735e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02506975254324615 y1[1] (numeric) = 0.02506975254321107 absolute error = 3.507957813120299e-14 relative error = 1.399278994505014e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.488999999999834 y2[1] (analytic) = 0.02484772934321345 y2[1] (numeric) = 0.02484772934291261 absolute error = 3.008426840978018e-13 relative error = 1.210745174910598e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02484772934321345 y1[1] (numeric) = 0.02484772934317861 absolute error = 3.484018629151819e-14 relative error = 1.402147689645289e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.489999999999834 y2[1] (analytic) = 0.02462668129537015 y2[1] (numeric) = 0.02462668129506937 absolute error = 3.007767646057147e-13 relative error = 1.221345097206667e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02462668129537015 y1[1] (numeric) = 0.02462668129533555 absolute error = 3.460426389878535e-14 relative error = 1.405153357196002e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.490999999999834 y2[1] (analytic) = 0.02440660862076427 y2[1] (numeric) = 0.02440660862046356 absolute error = 3.007073756666756e-13 relative error = 1.23207357621511e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02440660862076427 y1[1] (numeric) = 0.0244066086207299 absolute error = 3.436487205910055e-14 relative error = 1.408015041871247e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.491999999999835 y2[1] (analytic) = 0.02418751153946848 y2[1] (numeric) = 0.02418751153916783 absolute error = 3.006449256215404e-13 relative error = 1.242975843674356e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02418751153946848 y1[1] (numeric) = 0.02418751153943434 absolute error = 3.413241911331966e-14 relative error = 1.411158773304288e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.492999999999835 y2[1] (analytic) = 0.02396939027057982 y2[1] (numeric) = 0.02396939027027924 absolute error = 3.005755366825014e-13 relative error = 1.253997424587932e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02396939027057982 y1[1] (numeric) = 0.02396939027054593 absolute error = 3.389302727363486e-14 relative error = 1.414012909424541e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.493999999999835 y2[1] (analytic) = 0.02375224503221956 y2[1] (numeric) = 0.02375224503191905 absolute error = 3.005130866373662e-13 relative error = 1.265198663240989e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02375224503221956 y1[1] (numeric) = 0.0237522450321859 absolute error = 3.366057432785396e-14 relative error = 1.417153379909727e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.494999999999836 y2[1] (analytic) = 0.02353607604153292 y2[1] (numeric) = 0.02353607604123247 absolute error = 3.004471671452791e-13 relative error = 1.276538904000375e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02353607604153292 y1[1] (numeric) = 0.02353607604149949 absolute error = 3.342465193512112e-14 relative error = 1.420145476932448e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.495999999999836 y2[1] (analytic) = 0.02332088351468886 y2[1] (numeric) = 0.02332088351438847 absolute error = 3.003847171001439e-13 relative error = 1.288050330129834e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02332088351468886 y1[1] (numeric) = 0.02332088351465567 absolute error = 3.319219898934023e-14 relative error = 1.423282225496896e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.496999999999836 y2[1] (analytic) = 0.0231066676668799 y2[1] (numeric) = 0.02310666766657957 absolute error = 3.003222670550088e-13 relative error = 1.299721237976161e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0231066676668799 y1[1] (numeric) = 0.02310666766684694 absolute error = 3.295974604355933e-14 relative error = 1.426417106902975e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.497999999999837 y2[1] (analytic) = 0.02289342871232186 y2[1] (numeric) = 0.0228934287120216 absolute error = 3.002563475629216e-13 relative error = 1.311539443636573e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02289342871232186 y1[1] (numeric) = 0.02289342871228913 absolute error = 3.272382365082649e-14 relative error = 1.429398106418793e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.498999999999837 y2[1] (analytic) = 0.02268116686425369 y2[1] (numeric) = 0.02268116686395349 absolute error = 3.001938975177865e-13 relative error = 1.323538155309384e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02268116686425369 y1[1] (numeric) = 0.02268116686422119 absolute error = 3.24913707050456e-14 relative error = 1.432526417159478e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.499999999999837 y2[1] (analytic) = 0.02246988233493721 y2[1] (numeric) = 0.02246988233463707 absolute error = 3.001349169196033e-13 relative error = 1.335720910531604e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02246988233493721 y1[1] (numeric) = 0.02246988233490494 absolute error = 3.226238720621666e-14 relative error = 1.435805792184929e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.500999999999838 y2[1] (analytic) = 0.02225957533565693 y2[1] (numeric) = 0.02225957533535686 absolute error = 3.0007593632142e-13 relative error = 1.348075746264295e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02225957533565693 y1[1] (numeric) = 0.0222595753356249 absolute error = 3.203340370738772e-14 relative error = 1.439084224400022e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.501999999999838 y2[1] (analytic) = 0.02205024607671984 y2[1] (numeric) = 0.02205024607641983 absolute error = 3.000169557232368e-13 relative error = 1.360605930107909e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02205024607671984 y1[1] (numeric) = 0.02205024607668804 absolute error = 3.180442020855878e-14 relative error = 1.44236123705382e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.502999999999838 y2[1] (analytic) = 0.02184189476745518 y2[1] (numeric) = 0.02184189476715523 absolute error = 2.999579751250536e-13 relative error = 1.373314807706136e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02184189476745518 y1[1] (numeric) = 0.02184189476742361 absolute error = 3.157196726277789e-14 relative error = 1.445477491715631e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.503999999999839 y2[1] (analytic) = 0.02163452161621424 y2[1] (numeric) = 0.02163452161591434 absolute error = 2.998989945268704e-13 relative error = 1.386205804995048e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02163452161621424 y1[1] (numeric) = 0.0216345216161829 absolute error = 3.134298376394895e-14 relative error = 1.448748639787745e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.504999999999839 y2[1] (analytic) = 0.02142812683037016 y2[1] (numeric) = 0.02142812683007032 absolute error = 2.998400139286872e-13 relative error = 1.399282430528286e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02142812683037016 y1[1] (numeric) = 0.02142812683033904 absolute error = 3.111400026512001e-14 relative error = 1.452016805361728e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.505999999999839 y2[1] (analytic) = 0.02122271061631769 y2[1] (numeric) = 0.02122271061601791 absolute error = 2.997845027774559e-13 relative error = 1.412564625684327e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02122271061631769 y1[1] (numeric) = 0.02122271061628681 absolute error = 3.088501676629107e-14 relative error = 1.455281435282081e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.50699999999984 y2[1] (analytic) = 0.02101827317947305 y2[1] (numeric) = 0.02101827317917332 absolute error = 2.997255221792727e-13 relative error = 1.42602353494954e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02101827317947305 y1[1] (numeric) = 0.02101827317944239 absolute error = 3.065603326746213e-14 relative error = 1.458541955644651e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.50799999999984 y2[1] (analytic) = 0.02081481472427364 y2[1] (numeric) = 0.02081481472397398 absolute error = 2.996665415810895e-13 relative error = 1.439679120619925e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02081481472427364 y1[1] (numeric) = 0.02081481472424321 absolute error = 3.04270497686332e-14 relative error = 1.461797771043815e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.50899999999984 y2[1] (analytic) = 0.02061233545417792 y2[1] (numeric) = 0.0206123354538783 absolute error = 2.996144998768102e-13 relative error = 1.453568910436499e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02061233545417792 y1[1] (numeric) = 0.02061233545414771 absolute error = 3.020153571675621e-14 relative error = 1.465216582754317e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.509999999999841 y2[1] (analytic) = 0.02041083557166512 y2[1] (numeric) = 0.02041083557136556 absolute error = 2.99558988725579e-13 relative error = 1.467646866654665e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02041083557166512 y1[1] (numeric) = 0.02041083557163514 absolute error = 2.997602166487923e-14 relative error = 1.468632754383302e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.510999999999841 y2[1] (analytic) = 0.02021031527823512 y2[1] (numeric) = 0.02021031527793562 absolute error = 2.995069470212997e-13 relative error = 1.481950889424493e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02021031527823512 y1[1] (numeric) = 0.02021031527820537 absolute error = 2.97539770599542e-14 relative error = 1.472217362783886e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.511999999999841 y2[1] (analytic) = 0.0200107747744082 y2[1] (numeric) = 0.02001077477410874 absolute error = 2.994549053170203e-13 relative error = 1.496468321156628e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0200107747744082 y1[1] (numeric) = 0.02001077477437867 absolute error = 2.952846300807721e-14 relative error = 1.475628172370477e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.512999999999842 y2[1] (analytic) = 0.01981221425972483 y2[1] (numeric) = 0.01981221425942543 absolute error = 2.993993941657891e-13 relative error = 1.511185929249826e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01981221425972483 y1[1] (numeric) = 0.01981221425969552 absolute error = 2.930294895620023e-14 relative error = 1.479034527491892e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.513999999999842 y2[1] (analytic) = 0.01961463393274552 y2[1] (numeric) = 0.01961463393244617 absolute error = 2.993508219084617e-13 relative error = 1.526160635650266e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01961463393274552 y1[1] (numeric) = 0.01961463393271644 absolute error = 2.908437379822715e-14 relative error = 1.482789528367003e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.514999999999842 y2[1] (analytic) = 0.01941803399105058 y2[1] (numeric) = 0.01941803399075128 absolute error = 2.992987802041824e-13 relative error = 1.54134440356899e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01941803399105058 y1[1] (numeric) = 0.01941803399102172 absolute error = 2.886232919330212e-14 relative error = 1.486367219596187e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.515999999999843 y2[1] (analytic) = 0.01922241463123994 y2[1] (numeric) = 0.01922241463094069 absolute error = 2.992467384999031e-13 relative error = 1.556759357451235e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01922241463123994 y1[1] (numeric) = 0.0192224146312113 absolute error = 2.864028458837709e-14 relative error = 1.489942087807813e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.516999999999843 y2[1] (analytic) = 0.01902777604893293 y2[1] (numeric) = 0.01902777604863374 absolute error = 2.991981662425758e-13 relative error = 1.572428461808361e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01902777604893293 y1[1] (numeric) = 0.01902777604890452 absolute error = 2.841823998345205e-14 relative error = 1.49351347789516e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.517999999999843 y2[1] (analytic) = 0.01883411843876813 y2[1] (numeric) = 0.01883411843846898 absolute error = 2.991461245382965e-13 relative error = 1.588320289642728e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01883411843876813 y1[1] (numeric) = 0.01883411843873993 absolute error = 2.819619537852702e-14 relative error = 1.497080708619098e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.518999999999844 y2[1] (analytic) = 0.01864144199440313 y2[1] (numeric) = 0.01864144199410403 absolute error = 2.990975522809691e-13 relative error = 1.604476479720666e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01864144199440313 y1[1] (numeric) = 0.01864144199437515 absolute error = 2.797762022055394e-14 relative error = 1.500829186334077e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.519999999999844 y2[1] (analytic) = 0.01844974690851435 y2[1] (numeric) = 0.0184497469082153 absolute error = 2.990489800236418e-13 relative error = 1.620883915137254e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01844974690851435 y1[1] (numeric) = 0.01844974690848659 absolute error = 2.775904506258087e-14 relative error = 1.504575927259489e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.520999999999844 y2[1] (analytic) = 0.01825903337279687 y2[1] (numeric) = 0.01825903337249787 absolute error = 2.990038772132664e-13 relative error = 1.637566847644497e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01825903337279687 y1[1] (numeric) = 0.01825903337276933 absolute error = 2.754046990460779e-14 relative error = 1.508320256735979e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.521999999999845 y2[1] (analytic) = 0.0180693015779642 y2[1] (numeric) = 0.01806930157766525 absolute error = 2.98955304955939e-13 relative error = 1.654492862748606e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0180693015779642 y1[1] (numeric) = 0.01806930157793688 absolute error = 2.732189474663471e-14 relative error = 1.512061472257134e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.522999999999845 y2[1] (analytic) = 0.01788055171374813 y2[1] (numeric) = 0.01788055171344922 absolute error = 2.989102021455636e-13 relative error = 1.671705699750502e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01788055171374813 y1[1] (numeric) = 0.01788055171372103 absolute error = 2.710678903561359e-14 relative error = 1.515992877041457e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.523999999999845 y2[1] (analytic) = 0.01769278396889851 y2[1] (numeric) = 0.01769278396859965 absolute error = 2.988616298882363e-13 relative error = 1.689172435573701e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01769278396889851 y1[1] (numeric) = 0.01769278396887162 absolute error = 2.688821387764051e-14 relative error = 1.519727699434205e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.524999999999846 y2[1] (analytic) = 0.01750599853118305 y2[1] (numeric) = 0.01750599853088424 absolute error = 2.988165270778609e-13 relative error = 1.706937919282842e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01750599853118305 y1[1] (numeric) = 0.01750599853115638 absolute error = 2.667310816661939e-14 relative error = 1.523655341288139e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.525999999999846 y2[1] (analytic) = 0.0173201955873872 y2[1] (numeric) = 0.01732019558708842 absolute error = 2.987748937144374e-13 relative error = 1.725008774912504e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0173201955873872 y1[1] (numeric) = 0.01732019558736074 absolute error = 2.645800245559826e-14 relative error = 1.527581043880667e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.526999999999846 y2[1] (analytic) = 0.01713537532331386 y2[1] (numeric) = 0.01713537532301513 absolute error = 2.98733260351014e-13 relative error = 1.743371561547104e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01713537532331386 y1[1] (numeric) = 0.01713537532328762 absolute error = 2.624289674457714e-14 relative error = 1.531504052255678e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.527999999999847 y2[1] (analytic) = 0.0169515379237833 y2[1] (numeric) = 0.01695153792348461 absolute error = 2.986881575406386e-13 relative error = 1.762012148299382e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0169515379237833 y1[1] (numeric) = 0.01695153792375727 absolute error = 2.602779103355601e-14 relative error = 1.535423579298877e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.528999999999847 y2[1] (analytic) = 0.01676868357263289 y2[1] (numeric) = 0.01676868357233425 absolute error = 2.986465241772152e-13 relative error = 1.780977754655811e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01676868357263289 y1[1] (numeric) = 0.01676868357260708 absolute error = 2.581268532253489e-14 relative error = 1.539338804428401e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.529999999999847 y2[1] (analytic) = 0.01658681245271698 y2[1] (numeric) = 0.01658681245241837 absolute error = 2.986048908137917e-13 relative error = 1.80025482090068e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01658681245271698 y1[1] (numeric) = 0.01658681245269138 absolute error = 2.560104905846572e-14 relative error = 1.543458041226732e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.530999999999848 y2[1] (analytic) = 0.01640592474590666 y2[1] (numeric) = 0.01640592474560809 absolute error = 2.985632574503683e-13 relative error = 1.819850219201212e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01640592474590666 y1[1] (numeric) = 0.01640592474588127 absolute error = 2.53859433474446e-14 relative error = 1.547364366265211e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.531999999999848 y2[1] (analytic) = 0.01622602063308963 y2[1] (numeric) = 0.0162260206327911 absolute error = 2.985250935338968e-13 relative error = 1.839792394477277e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01622602063308963 y1[1] (numeric) = 0.01622602063306446 absolute error = 2.517430708337542e-14 relative error = 1.551477571280638e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.532999999999848 y2[1] (analytic) = 0.01604710029416999 y2[1] (numeric) = 0.0160471002938715 absolute error = 2.984834601704733e-13 relative error = 1.860046081215771e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01604710029416999 y1[1] (numeric) = 0.01604710029414502 absolute error = 2.496267081930625e-14 relative error = 1.555587636501241e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.533999999999849 y2[1] (analytic) = 0.01586916390806805 y2[1] (numeric) = 0.01586916390776961 absolute error = 2.984452962540018e-13 relative error = 1.880661753718916e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01586916390806805 y1[1] (numeric) = 0.0158691639080433 absolute error = 2.475450400218904e-14 relative error = 1.559912301970968e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.534999999999849 y2[1] (analytic) = 0.0156922116527202 y2[1] (numeric) = 0.01569221165242179 absolute error = 2.984071323375304e-13 relative error = 1.901625716893784e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0156922116527202 y1[1] (numeric) = 0.01569221165269566 absolute error = 2.454286773811987e-14 relative error = 1.564015849471762e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.535999999999849 y2[1] (analytic) = 0.01551624370507867 y2[1] (numeric) = 0.0155162437047803 absolute error = 2.983689684210589e-13 relative error = 1.922945875897777e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01551624370507867 y1[1] (numeric) = 0.01551624370505434 absolute error = 2.433296619752667e-14 relative error = 1.568225316644271e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.53699999999985 y2[1] (analytic) = 0.0153412602411114 y2[1] (numeric) = 0.01534126024081307 absolute error = 2.983325392280634e-13 relative error = 1.944641669193473e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0153412602411114 y1[1] (numeric) = 0.01534126024108728 absolute error = 2.412479938040946e-14 relative error = 1.572543519974975e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.53799999999985 y2[1] (analytic) = 0.01516726143580183 y2[1] (numeric) = 0.01516726143550354 absolute error = 2.982961100350678e-13 relative error = 1.966710413067381e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01516726143580183 y1[1] (numeric) = 0.01516726143577792 absolute error = 2.391663256329224e-14 relative error = 1.576858990960478e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.53899999999985 y2[1] (analytic) = 0.01499424746314876 y2[1] (numeric) = 0.0149942474628505 absolute error = 2.982614155655483e-13 relative error = 1.989172289563601e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01499424746314876 y1[1] (numeric) = 0.01499424746312505 absolute error = 2.3710200469651e-14 relative error = 1.581286458551746e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.539999999999851 y2[1] (analytic) = 0.01482221849616614 y2[1] (numeric) = 0.01482221849586791 absolute error = 2.982267210960288e-13 relative error = 2.012024861009619e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01482221849616614 y1[1] (numeric) = 0.01482221849614264 absolute error = 2.350376837600976e-14 relative error = 1.585711908247012e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.540999999999851 y2[1] (analytic) = 0.01465117470688293 y2[1] (numeric) = 0.01465117470658473 absolute error = 2.981937613499852e-13 relative error = 2.035289096715895e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01465117470688293 y1[1] (numeric) = 0.01465117470685963 absolute error = 2.32990710058445e-14 relative error = 1.590252759384468e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.541999999999851 y2[1] (analytic) = 0.01448111626634289 y2[1] (numeric) = 0.01448111626604474 absolute error = 2.981590668804657e-13 relative error = 2.058950852935619e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01448111626634289 y1[1] (numeric) = 0.0144811162663198 absolute error = 2.309263891220326e-14 relative error = 1.594672571331764e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.542999999999852 y2[1] (analytic) = 0.01431204334460447 y2[1] (numeric) = 0.01431204334430634 absolute error = 2.981261071344221e-13 relative error = 2.083043629453605e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01431204334460447 y1[1] (numeric) = 0.01431204334458158 absolute error = 2.288794154203799e-14 relative error = 1.599208512086191e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.543999999999852 y2[1] (analytic) = 0.01414395611074056 y2[1] (numeric) = 0.01414395611044247 absolute error = 2.980948821118545e-13 relative error = 2.107577821777097e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01414395611074056 y1[1] (numeric) = 0.01414395611071788 absolute error = 2.268497889534871e-14 relative error = 1.603863778827927e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.544999999999852 y2[1] (analytic) = 0.01397685473283839 y2[1] (numeric) = 0.01397685473254033 absolute error = 2.98061922365811e-13 relative error = 2.132539316342177e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01397685473283839 y1[1] (numeric) = 0.01397685473281591 absolute error = 2.248028152518344e-14 relative error = 1.608393444368167e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.545999999999853 y2[1] (analytic) = 0.01381073937799931 y2[1] (numeric) = 0.01381073937770128 absolute error = 2.980306973432434e-13 relative error = 2.157963373184858e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01381073937799931 y1[1] (numeric) = 0.01381073937797704 absolute error = 2.227731887849416e-14 relative error = 1.613043173776939e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.546999999999853 y2[1] (analytic) = 0.01364561021233868 y2[1] (numeric) = 0.01364561021204068 absolute error = 2.980012070441518e-13 relative error = 2.183861347400149e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01364561021233868 y1[1] (numeric) = 0.0136456102123166 absolute error = 2.207609095528085e-14 relative error = 1.61781632420653e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.547999999999853 y2[1] (analytic) = 0.01348146740098564 y2[1] (numeric) = 0.01348146740068767 absolute error = 2.979699820215842e-13 relative error = 2.210219208035169e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01348146740098564 y1[1] (numeric) = 0.01348146740096376 absolute error = 2.187312830859156e-14 relative error = 1.622459014142066e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.548999999999854 y2[1] (analytic) = 0.01331831110808299 y2[1] (numeric) = 0.01331831110778504 absolute error = 2.979422264459686e-13 relative error = 2.237087150375584e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01331831110808299 y1[1] (numeric) = 0.01331831110806131 absolute error = 2.167363510885423e-14 relative error = 1.627356121430466e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.549999999999854 y2[1] (analytic) = 0.013156141496787 y2[1] (numeric) = 0.01315614149648909 absolute error = 2.979144708703529e-13 relative error = 2.264451708299958e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.013156141496787 y1[1] (numeric) = 0.01315614149676553 absolute error = 2.14741419091169e-14 relative error = 1.632252276578305e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.550999999999854 y2[1] (analytic) = 0.01299495872926729 y2[1] (numeric) = 0.0129949587289694 absolute error = 2.978849805712613e-13 relative error = 2.292311863217879e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01299495872926729 y1[1] (numeric) = 0.01299495872924601 absolute error = 2.127291398590359e-14 relative error = 1.637012816207924e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.551999999999855 y2[1] (analytic) = 0.01283476296670659 y2[1] (numeric) = 0.01283476296640873 absolute error = 2.978572249956457e-13 relative error = 2.320706862824722e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01283476296670659 y1[1] (numeric) = 0.01283476296668552 absolute error = 2.107342078616625e-14 relative error = 1.641901828715556e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.552999999999855 y2[1] (analytic) = 0.01267555436930067 y2[1] (numeric) = 0.01267555436900284 absolute error = 2.978312041435061e-13 relative error = 2.349650322709617e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01267555436930067 y1[1] (numeric) = 0.01267555436927979 absolute error = 2.08756623099049e-14 relative error = 1.646923022196515e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.553999999999855 y2[1] (analytic) = 0.0125173330962581 y2[1] (numeric) = 0.01251733309596029 absolute error = 2.978051832913664e-13 relative error = 2.379142433945388e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0125173330962581 y1[1] (numeric) = 0.01251733309623742 absolute error = 2.067790383364354e-14 relative error = 1.651941645606998e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.554999999999856 y2[1] (analytic) = 0.01236009930580014 y2[1] (numeric) = 0.01236009930550236 absolute error = 2.977808971627027e-13 relative error = 2.409211202882206e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01236009930580014 y1[1] (numeric) = 0.01236009930577966 absolute error = 2.048188008085816e-14 relative error = 1.657096725043849e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.555999999999856 y2[1] (analytic) = 0.01220385315516057 y2[1] (numeric) = 0.01220385315486282 absolute error = 2.977566110340391e-13 relative error = 2.439857373309416e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01220385315516057 y1[1] (numeric) = 0.01220385315514029 absolute error = 2.028412160459681e-14 relative error = 1.662107970876344e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.556999999999856 y2[1] (analytic) = 0.01204859480058554 y2[1] (numeric) = 0.01204859480028781 absolute error = 2.977340596288514e-13 relative error = 2.471110237804512e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01204859480058554 y1[1] (numeric) = 0.01204859480056545 absolute error = 2.00898325752874e-14 relative error = 1.667400465182137e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.557999999999857 y2[1] (analytic) = 0.01189432439733337 y2[1] (numeric) = 0.01189432439703566 absolute error = 2.977097735001877e-13 relative error = 2.50295656613277e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01189432439733337 y1[1] (numeric) = 0.01189432439731348 absolute error = 1.989380882250202e-14 relative error = 1.672546347143691e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.558999999999857 y2[1] (analytic) = 0.01174104209967447 y2[1] (numeric) = 0.01174104209937678 absolute error = 2.97687222095e-13 relative error = 2.535441228877406e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01174104209967447 y1[1] (numeric) = 0.01174104209965477 absolute error = 1.969951979319262e-14 relative error = 1.677834013876741e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.559999999999858 y2[1] (analytic) = 0.01158874806089111 y2[1] (numeric) = 0.01158874806059345 absolute error = 2.976664054132883e-13 relative error = 2.568581212131376e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01158874806089111 y1[1] (numeric) = 0.01158874806087161 absolute error = 1.950523076388322e-14 relative error = 1.683118026330048e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.560999999999858 y2[1] (analytic) = 0.01143744243327733 y2[1] (numeric) = 0.01143744243297968 absolute error = 2.976455887315765e-13 relative error = 2.6023789012968e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01143744243327733 y1[1] (numeric) = 0.01143744243325802 absolute error = 1.931267645804979e-14 relative error = 1.688548516918381e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.561999999999858 y2[1] (analytic) = 0.01128712536813873 y2[1] (numeric) = 0.01128712536784111 absolute error = 2.976247720498648e-13 relative error = 2.636851831999663e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01128712536813873 y1[1] (numeric) = 0.01128712536811961 absolute error = 1.912012215221637e-14 relative error = 1.693976236517103e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.562999999999859 y2[1] (analytic) = 0.01113779701579237 y2[1] (numeric) = 0.01113779701549477 absolute error = 2.976039553681531e-13 relative error = 2.672018128416042e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01113779701579237 y1[1] (numeric) = 0.01113779701577344 absolute error = 1.892756784638294e-14 relative error = 1.699399604746378e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.563999999999859 y2[1] (analytic) = 0.01098945752556659 y2[1] (numeric) = 0.01098945752526901 absolute error = 2.975848734099173e-13 relative error = 2.707912312483091e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01098945752556659 y1[1] (numeric) = 0.01098945752554786 absolute error = 1.873501354054952e-14 relative error = 1.704816957248632e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.564999999999859 y2[1] (analytic) = 0.01084210704580087 y2[1] (numeric) = 0.0108421070455033 absolute error = 2.975675261751576e-13 relative error = 2.74455440181625e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01084210704580087 y1[1] (numeric) = 0.01084210704578233 absolute error = 1.854419395819207e-14 relative error = 1.710386540167412e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.56599999999986 y2[1] (analytic) = 0.01069574572384567 y2[1] (numeric) = 0.01069574572354812 absolute error = 2.975501789403978e-13 relative error = 2.781948885312628e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01069574572384567 y1[1] (numeric) = 0.01069574572382732 absolute error = 1.835337437583462e-14 relative error = 1.715950888297261e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.56699999999986 y2[1] (analytic) = 0.01055037370606231 y2[1] (numeric) = 0.01055037370576478 absolute error = 2.97534566429114e-13 relative error = 2.820132961339073e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01055037370606231 y1[1] (numeric) = 0.01055037370604415 absolute error = 1.816428951695315e-14 relative error = 1.721672617768585e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.56799999999986 y2[1] (analytic) = 0.01040599113782279 y2[1] (numeric) = 0.01040599113752527 absolute error = 2.975172191943543e-13 relative error = 2.85909545043686e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01040599113782279 y1[1] (numeric) = 0.01040599113780482 absolute error = 1.797520465807168e-14 relative error = 1.727389964107981e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.568999999999861 y2[1] (analytic) = 0.01026259816350967 y2[1] (numeric) = 0.01026259816321217 absolute error = 2.975016066830705e-13 relative error = 2.898891703086317e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01026259816350967 y1[1] (numeric) = 0.01026259816349188 absolute error = 1.778785452266618e-14 relative error = 1.733270097811467e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.569999999999861 y2[1] (analytic) = 0.0101201949265159 y2[1] (numeric) = 0.01012019492621842 absolute error = 2.974859941717867e-13 relative error = 2.939528302882233e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0101201949265159 y1[1] (numeric) = 0.0101201949264983 absolute error = 1.760050438726068e-14 relative error = 1.73914677682202e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.570999999999861 y2[1] (analytic) = 0.009978781569244722 y2[1] (numeric) = 0.009978781568947248 absolute error = 2.974738511074548e-13 relative error = 2.981063860785262e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.009978781569244722 y1[1] (numeric) = 0.009978781569227307 absolute error = 1.741488897533117e-14 relative error = 1.745191920926001e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.571999999999862 y2[1] (analytic) = 0.009838358233109469 y2[1] (numeric) = 0.009838358232812009 absolute error = 2.97459973319647e-13 relative error = 3.023471663377652e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.009838358233109469 y1[1] (numeric) = 0.009838358233092242 absolute error = 1.722753883992567e-14 relative error = 1.751058299742437e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.572999999999862 y2[1] (analytic) = 0.009698925058533472 y2[1] (numeric) = 0.009698925058236024 absolute error = 2.974478302553152e-13 relative error = 3.06681233703945e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.009698925058533472 y1[1] (numeric) = 0.00969892505851643 absolute error = 1.704192342799615e-14 relative error = 1.757094041365135e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.573999999999862 y2[1] (analytic) = 0.009560482184949891 y2[1] (numeric) = 0.009560482184652455 absolute error = 2.974356871909833e-13 relative error = 3.111095041411264e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.009560482184949891 y1[1] (numeric) = 0.009560482184933035 absolute error = 1.685630801606663e-14 relative error = 1.763123207593214e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.574999999999863 y2[1] (analytic) = 0.00942302975080159 y2[1] (numeric) = 0.009423029750504165 absolute error = 2.974252788501275e-13 relative error = 3.156365698886034e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00942302975080159 y1[1] (numeric) = 0.009423029750784918 absolute error = 1.667242732761309e-14 relative error = 1.769327675761059e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.575999999999863 y2[1] (analytic) = 0.00928656789354099 y2[1] (numeric) = 0.009286567893243577 absolute error = 2.974131357857956e-13 relative error = 3.202616286180958e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00928656789354099 y1[1] (numeric) = 0.009286567893524502 absolute error = 1.648854663915955e-14 relative error = 1.775526419252014e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.576999999999863 y2[1] (analytic) = 0.009151096749629939 y2[1] (numeric) = 0.009151096749332536 absolute error = 2.974027274449398e-13 relative error = 3.249913486675424e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.009151096749629939 y1[1] (numeric) = 0.009151096749613633 absolute error = 1.630640067418199e-14 relative error = 1.781906706957437e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.577999999999864 y2[1] (analytic) = 0.009016616454539567 y2[1] (numeric) = 0.009016616454242173 absolute error = 2.973940538275599e-13 relative error = 3.298288835140945e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.009016616454539567 y1[1] (numeric) = 0.009016616454523443 absolute error = 1.612425470920442e-14 relative error = 1.78828219992505e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.578999999999864 y2[1] (analytic) = 0.00888312714275016 y2[1] (numeric) = 0.008883127142452775 absolute error = 2.9738538021018e-13 relative error = 3.347755530583472e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00888312714275016 y1[1] (numeric) = 0.008883127142734218 absolute error = 1.594210874422686e-14 relative error = 1.794650519804592e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.579999999999864 y2[1] (analytic) = 0.008750628947751018 y2[1] (numeric) = 0.00875062894745364 absolute error = 2.973784413162761e-13 relative error = 3.398366484190885e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.008750628947751018 y1[1] (numeric) = 0.008750628947735256 absolute error = 1.576169750272527e-14 relative error = 1.801207387130288e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.580999999999865 y2[1] (analytic) = 0.008619122002040324 y2[1] (numeric) = 0.008619122001742953 absolute error = 2.973715024223722e-13 relative error = 3.450136827764803e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.008619122002040324 y1[1] (numeric) = 0.008619122002024743 absolute error = 1.558128626122368e-14 relative error = 1.807757943040517e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.581999999999865 y2[1] (analytic) = 0.008488606437125014 y2[1] (numeric) = 0.00848860643682765 absolute error = 2.973645635284683e-13 relative error = 3.503102255135084e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.008488606437125014 y1[1] (numeric) = 0.008488606437109613 absolute error = 1.540087501972209e-14 relative error = 1.814299571289605e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.582999999999865 y2[1] (analytic) = 0.008359082383520641 y2[1] (numeric) = 0.008359082383223283 absolute error = 2.973576246345644e-13 relative error = 3.557299844547347e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.008359082383520641 y1[1] (numeric) = 0.00835908238350542 absolute error = 1.522046377822051e-14 relative error = 1.820829497771981e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.583999999999866 y2[1] (analytic) = 0.008230549970751249 y2[1] (numeric) = 0.008230549970453896 absolute error = 2.973524204641365e-13 relative error = 3.612789200245818e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.008230549970751249 y1[1] (numeric) = 0.008230549970736207 absolute error = 1.504178726019489e-14 relative error = 1.827555547763954e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.584999999999866 y2[1] (analytic) = 0.008103009327349239 y2[1] (numeric) = 0.00810300932705189 absolute error = 2.973489510171845e-13 relative error = 3.6696113629485e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.008103009327349239 y1[1] (numeric) = 0.008103009327334374 absolute error = 1.486484546564526e-14 relative error = 1.834484555691365e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.585999999999866 y2[1] (analytic) = 0.007976460580855245 y2[1] (numeric) = 0.0079764605805579 absolute error = 2.973454815702326e-13 relative error = 3.727787262986145e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007976460580855245 y1[1] (numeric) = 0.007976460580840557 absolute error = 1.468790367109563e-14 relative error = 1.841406162822254e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.586999999999867 y2[1] (analytic) = 0.007850903857818002 y2[1] (numeric) = 0.00785090385752066 absolute error = 2.973420121232806e-13 relative error = 3.787360251866856e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007850903857818002 y1[1] (numeric) = 0.007850903857803491 absolute error = 1.451096187654599e-14 relative error = 1.848317358019337e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.587999999999867 y2[1] (analytic) = 0.007726339283794222 y2[1] (numeric) = 0.007726339283496883 absolute error = 2.973394100380666e-13 relative error = 3.848386656559694e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007726339283794222 y1[1] (numeric) = 0.007726339283779887 absolute error = 1.433488744373435e-14 relative error = 1.855327201822649e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.588999999999867 y2[1] (analytic) = 0.00760276698334847 y2[1] (numeric) = 0.007602766983051132 absolute error = 2.973376753145907e-13 relative error = 3.910913960217611e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00760276698334847 y1[1] (numeric) = 0.00760276698333431 absolute error = 1.415968037266069e-14 relative error = 1.862437768206382e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.589999999999868 y2[1] (analytic) = 0.007480187080053036 y2[1] (numeric) = 0.007480187079755699 absolute error = 2.973368079528527e-13 relative error = 3.974991598081054e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007480187080053036 y1[1] (numeric) = 0.00748018708003905 absolute error = 1.398534066332502e-14 relative error = 1.869651188353148e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.590999999999868 y2[1] (analytic) = 0.007358599696487811 y2[1] (numeric) = 0.007358599696190475 absolute error = 2.973359405911147e-13 relative error = 4.040659267455875e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007358599696487811 y1[1] (numeric) = 0.007358599696474 absolute error = 1.381100095398935e-14 relative error = 1.876851782083106e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.591999999999868 y2[1] (analytic) = 0.007238004954240172 y2[1] (numeric) = 0.007238004953942835 absolute error = 2.973368079528527e-13 relative error = 4.107993982218355e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007238004954240172 y1[1] (numeric) = 0.007238004954226534 absolute error = 1.363839596812966e-14 relative error = 1.884275577918747e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.592999999999869 y2[1] (analytic) = 0.007118402973904848 y2[1] (numeric) = 0.007118402973607511 absolute error = 2.973376753145907e-13 relative error = 4.177027858700784e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007118402973904848 y1[1] (numeric) = 0.007118402973891383 absolute error = 1.346579098226997e-14 relative error = 1.89168708650435e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.593999999999869 y2[1] (analytic) = 0.006999793875083812 y2[1] (numeric) = 0.006999793874786472 absolute error = 2.973394100380666e-13 relative error = 4.247830941086197e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006999793875083812 y1[1] (numeric) = 0.006999793875070518 absolute error = 1.329405335814826e-14 relative error = 1.899206404558461e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.594999999999869 y2[1] (analytic) = 0.00688217777638615 y2[1] (numeric) = 0.006882177776088808 absolute error = 2.973411447615426e-13 relative error = 4.320451380691843e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00688217777638615 y1[1] (numeric) = 0.006882177776373027 absolute error = 1.312231573402656e-14 relative error = 1.906709788731601e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.59599999999987 y2[1] (analytic) = 0.006765554795427953 y2[1] (numeric) = 0.006765554795130609 absolute error = 2.973437468467566e-13 relative error = 4.394964727027212e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006765554795427953 y1[1] (numeric) = 0.006765554795415001 absolute error = 1.295144547164284e-14 relative error = 1.914321273459378e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.59699999999987 y2[1] (analytic) = 0.006649925048832192 y2[1] (numeric) = 0.006649925048534844 absolute error = 2.973480836554465e-13 relative error = 4.471450151271471e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006649925048832192 y1[1] (numeric) = 0.00664992504881941 absolute error = 1.278144257099711e-14 relative error = 1.922043102311611e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.59799999999987 y2[1] (analytic) = 0.006535288652228603 y2[1] (numeric) = 0.006535288651931251 absolute error = 2.973515531023985e-13 relative error = 4.549937560921635e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006535288652228603 y1[1] (numeric) = 0.006535288652215991 absolute error = 1.261143967035139e-14 relative error = 1.929744857719598e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.598999999999871 y2[1] (analytic) = 0.006421645720253574 y2[1] (numeric) = 0.006421645719956218 absolute error = 2.973558899110884e-13 relative error = 4.630524679573052e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006421645720253574 y1[1] (numeric) = 0.006421645720241132 absolute error = 1.244230413144365e-14 relative error = 1.937556924419109e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.599999999999871 y2[1] (analytic) = 0.006308996366550027 y2[1] (numeric) = 0.006308996366252666 absolute error = 2.973610940815163e-13 relative error = 4.713286817822712e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006308996366550027 y1[1] (numeric) = 0.006308996366537753 absolute error = 1.22740359542739e-14 relative error = 1.945481537974915e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.600999999999871 y2[1] (analytic) = 0.006197340703767307 y2[1] (numeric) = 0.006197340703469939 absolute error = 2.973680329754202e-13 relative error = 4.79831668435871e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006197340703767307 y1[1] (numeric) = 0.006197340703755201 absolute error = 1.210663513884214e-14 relative error = 1.953520988685134e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.601999999999872 y2[1] (analytic) = 0.006086678843561067 y2[1] (numeric) = 0.006086678843263692 absolute error = 2.973749718693242e-13 relative error = 4.885668843591265e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006086678843561067 y1[1] (numeric) = 0.006086678843549127 absolute error = 1.194010168514836e-14 relative error = 1.961677622892733e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.602999999999872 y2[1] (analytic) = 0.005977010896593158 y2[1] (numeric) = 0.005977010896295776 absolute error = 2.973819107632281e-13 relative error = 4.975428619893149e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005977010896593158 y1[1] (numeric) = 0.005977010896581384 absolute error = 1.177356823145459e-14 relative error = 1.969808727999043e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.603999999999872 y2[1] (analytic) = 0.005868336972531518 y2[1] (numeric) = 0.005868336972234127 absolute error = 2.973905843806079e-13 relative error = 5.067714852992122e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005868336972531518 y1[1] (numeric) = 0.005868336972519909 absolute error = 1.160876950123679e-14 relative error = 1.978204311643156e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.604999999999873 y2[1] (analytic) = 0.005760657180050061 y2[1] (numeric) = 0.005760657179752662 absolute error = 2.973992579979878e-13 relative error = 5.162592542877258e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005760657180050061 y1[1] (numeric) = 0.005760657180038617 absolute error = 1.1443970771019e-14 relative error = 1.986573825405029e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.605999999999873 y2[1] (analytic) = 0.005653971626828572 y2[1] (numeric) = 0.005653971626531164 absolute error = 2.974087989771057e-13 relative error = 5.260174946154237e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005653971626828572 y1[1] (numeric) = 0.005653971626817292 absolute error = 1.128003940253919e-14 relative error = 1.995064734498215e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.606999999999873 y2[1] (analytic) = 0.005548280419552595 y2[1] (numeric) = 0.005548280419255176 absolute error = 2.974192073179616e-13 relative error = 5.36056552350584e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005548280419552595 y1[1] (numeric) = 0.005548280419541479 absolute error = 1.111610803405938e-14 relative error = 2.00352310868883e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.607999999999874 y2[1] (analytic) = 0.005443583663913327 y2[1] (numeric) = 0.005443583663615898 absolute error = 2.974296156588174e-13 relative error = 5.463856790344595e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005443583663913327 y1[1] (numeric) = 0.005443583663902374 absolute error = 1.095304402731756e-14 relative error = 2.012101715259309e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.608999999999874 y2[1] (analytic) = 0.005339881464607517 y2[1] (numeric) = 0.005339881464310076 absolute error = 2.974408913614113e-13 relative error = 5.570177790140765e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005339881464607517 y1[1] (numeric) = 0.005339881464596726 absolute error = 1.079084738231373e-14 relative error = 2.020802793813862e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.609999999999874 y2[1] (analytic) = 0.005237173925337354 y2[1] (numeric) = 0.005237173925039901 absolute error = 2.974530344257431e-13 relative error = 5.67964781514455e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005237173925337354 y1[1] (numeric) = 0.005237173925326725 absolute error = 1.06286507373099e-14 relative error = 2.029463005971345e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.610999999999875 y2[1] (analytic) = 0.00513546114881037 y2[1] (numeric) = 0.005135461148512903 absolute error = 2.974669122135509e-13 relative error = 5.792408969590962e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00513546114881037 y1[1] (numeric) = 0.005135461148799902 absolute error = 1.046818881578204e-14 relative error = 2.038412620102675e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.611999999999875 y2[1] (analytic) = 0.005034743236739333 y2[1] (numeric) = 0.005034743236441852 absolute error = 2.974807900013587e-13 relative error = 5.908559305082204e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005034743236739333 y1[1] (numeric) = 0.005034743236729025 absolute error = 1.030772689425419e-14 relative error = 2.047319279171387e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.612999999999875 y2[1] (analytic) = 0.004935020289842145 y2[1] (numeric) = 0.00493502028954465 absolute error = 2.974955351509045e-13 relative error = 6.028253536530453e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004935020289842145 y1[1] (numeric) = 0.004935020289831997 absolute error = 1.014813233446432e-14 relative error = 2.056350681141561e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.613999999999876 y2[1] (analytic) = 0.004836292407841746 y2[1] (numeric) = 0.004836292407544236 absolute error = 2.975102803004503e-13 relative error = 6.151618951287064e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004836292407841746 y1[1] (numeric) = 0.004836292407831757 absolute error = 9.989405136412444e-15 relative error = 2.06550892584891e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.614999999999876 y2[1] (analytic) = 0.00473855968946601 y2[1] (numeric) = 0.004738559689168484 absolute error = 2.975258928117341e-13 relative error = 6.278825472498425e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00473855968946601 y1[1] (numeric) = 0.004738559689456179 absolute error = 9.830677938360566e-15 relative error = 2.074613085536206e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.615999999999876 y2[1] (analytic) = 0.004641822232447647 y2[1] (numeric) = 0.004641822232150104 absolute error = 2.975423726847559e-13 relative error = 6.410033770893914e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004641822232447647 y1[1] (numeric) = 0.004641822232437974 absolute error = 9.672818102046676e-15 relative error = 2.083840702565245e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.616999999999877 y2[1] (analytic) = 0.004546080133524105 y2[1] (numeric) = 0.004546080133226545 absolute error = 2.975597199195157e-13 relative error = 6.545412997127449e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004546080133524105 y1[1] (numeric) = 0.004546080133514589 absolute error = 9.515825627470775e-15 relative error = 2.093193553122466e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.617999999999877 y2[1] (analytic) = 0.004451333488437475 y2[1] (numeric) = 0.004451333488139898 absolute error = 2.975770671542755e-13 relative error = 6.685121838820756e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004451333488437475 y1[1] (numeric) = 0.004451333488428117 absolute error = 9.358833152894874e-15 relative error = 2.102478544284501e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.618999999999877 y2[1] (analytic) = 0.004357582391934396 y2[1] (numeric) = 0.004357582391636801 absolute error = 2.975952817507732e-13 relative error = 6.829366721822699e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004357582391934396 y1[1] (numeric) = 0.004357582391925193 absolute error = 9.202708040056962e-15 relative error = 2.1118838870587e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.619999999999878 y2[1] (analytic) = 0.004264826937765955 y2[1] (numeric) = 0.004264826937468341 absolute error = 2.97614363709009e-13 relative error = 6.978345617581104e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004264826937765955 y1[1] (numeric) = 0.004264826937756908 absolute error = 9.047450288957037e-15 relative error = 2.121410885126411e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.620999999999878 y2[1] (analytic) = 0.0041730672186876 y2[1] (numeric) = 0.004173067218389966 absolute error = 2.976343130289827e-13 relative error = 7.13226740504282e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0041730672186876 y1[1] (numeric) = 0.004173067218678706 absolute error = 8.89392726133309e-15 relative error = 2.131268631740413e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.621999999999878 y2[1] (analytic) = 0.00408230332645904 y2[1] (numeric) = 0.004082303326161386 absolute error = 2.976542623489564e-13 relative error = 7.29133135256609e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00408230332645904 y1[1] (numeric) = 0.004082303326450301 absolute error = 8.739536871971154e-15 relative error = 2.140834762406488e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.622999999999879 y2[1] (analytic) = 0.003992535351844162 y2[1] (numeric) = 0.003992535351546487 absolute error = 2.976750790306681e-13 relative error = 7.455790689321543e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003992535351844162 y1[1] (numeric) = 0.003992535351835576 absolute error = 8.586013844347207e-15 relative error = 2.150516673667349e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.623999999999879 y2[1] (analytic) = 0.003903763384610932 y2[1] (numeric) = 0.003903763384313235 absolute error = 2.976971967549868e-13 relative error = 7.625902684792377e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003903763384610932 y1[1] (numeric) = 0.003903763384602498 absolute error = 8.433791859330242e-15 relative error = 2.1604259860055e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.624999999999879 y2[1] (analytic) = 0.00381598751353131 y2[1] (numeric) = 0.00381598751323359 absolute error = 2.977197481601745e-13 relative error = 7.801905721768599e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00381598751353131 y1[1] (numeric) = 0.003815987513523028 absolute error = 8.282003555182271e-15 relative error = 2.170343463078608e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.62599999999988 y2[1] (analytic) = 0.00372920782638116 y2[1] (numeric) = 0.003729207826083417 absolute error = 2.977431669271002e-13 relative error = 7.984086186369279e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00372920782638116 y1[1] (numeric) = 0.003729207826373029 absolute error = 8.131082612772289e-15 relative error = 2.180377976054697e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.62699999999988 y2[1] (analytic) = 0.003643424409940161 y2[1] (numeric) = 0.003643424409642394 absolute error = 2.977670193748949e-13 relative error = 8.172723950646897e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003643424409940161 y1[1] (numeric) = 0.00364342440993218 absolute error = 7.980595351231301e-15 relative error = 2.190410573486379e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.62799999999988 y2[1] (analytic) = 0.003558637349991723 y2[1] (numeric) = 0.003558637349693932 absolute error = 2.977917391844276e-13 relative error = 8.368139540409201e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003558637349991723 y1[1] (numeric) = 0.003558637349983892 absolute error = 7.830975451428301e-15 relative error = 2.200554504787209e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.628999999999881 y2[1] (analytic) = 0.0034748467313229 y2[1] (numeric) = 0.003474846731025083 absolute error = 2.978168926748292e-13 relative error = 8.570648310621982e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0034748467313229 y1[1] (numeric) = 0.003474846731315218 absolute error = 7.681355551625302e-15 relative error = 2.21055952839133e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.629999999999881 y2[1] (analytic) = 0.003392052637724302 y2[1] (numeric) = 0.003392052637426458 absolute error = 2.978433472078379e-13 relative error = 8.78062279740029e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003392052637724302 y1[1] (numeric) = 0.003392052637716769 absolute error = 7.533036694429285e-15 relative error = 2.220790034521142e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.630999999999881 y2[1] (analytic) = 0.003310255151990016 y2[1] (numeric) = 0.003310255151692146 absolute error = 2.978698017408465e-13 relative error = 8.99839402294343e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003310255151990016 y1[1] (numeric) = 0.003310255151982631 absolute error = 7.385151518102262e-15 relative error = 2.230991624214391e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.631999999999882 y2[1] (analytic) = 0.003229454355917521 y2[1] (numeric) = 0.003229454355619624 absolute error = 2.978971236355932e-13 relative error = 9.224379440128595e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003229454355917521 y1[1] (numeric) = 0.003229454355910283 absolute error = 7.238133703513228e-15 relative error = 2.241286888062178e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.632999999999882 y2[1] (analytic) = 0.003149650330307607 y2[1] (numeric) = 0.003149650330009682 absolute error = 2.979253128920778e-13 relative error = 9.458996448757575e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003149650330307607 y1[1] (numeric) = 0.003149650330300516 absolute error = 7.091549569793187e-15 relative error = 2.251535512229575e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.633999999999882 y2[1] (analytic) = 0.003070843154964292 y2[1] (numeric) = 0.003070843154666339 absolute error = 2.979539358294314e-13 relative error = 9.702675154468968e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003070843154964292 y1[1] (numeric) = 0.003070843154957347 absolute error = 6.945399116942141e-15 relative error = 2.261723821913302e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.634999999999883 y2[1] (analytic) = 0.002993032908694746 y2[1] (numeric) = 0.002993032908396763 absolute error = 2.97983426128523e-13 relative error = 9.955902097263367e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.002993032908694746 y1[1] (numeric) = 0.002993032908687946 absolute error = 6.800116025829084e-15 relative error = 2.271981709948721e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.635999999999883 y2[1] (analytic) = 0.002916219669309208 y2[1] (numeric) = 0.002916219669011194 absolute error = 2.980137837893526e-13 relative error = 1.021918159752163e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002916219669309208 y1[1] (numeric) = 0.002916219669302552 absolute error = 6.655700296454015e-15 relative error = 2.282304164703276e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.636999999999883 y2[1] (analytic) = 0.002840403513620911 y2[1] (numeric) = 0.002840403513322866 absolute error = 2.980445751310512e-13 relative error = 1.049303641900892e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002840403513620911 y1[1] (numeric) = 0.002840403513614399 absolute error = 6.51171824794794e-15 relative error = 2.292532809765075e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.637999999999884 y2[1] (analytic) = 0.002765584517446004 y2[1] (numeric) = 0.002765584517147928 absolute error = 2.980758001536188e-13 relative error = 1.077803980580892e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002765584517446004 y1[1] (numeric) = 0.002765584517439636 absolute error = 6.368603561179853e-15 relative error = 2.302805617042291e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.638999999999884 y2[1] (analytic) = 0.002691762755603478 y2[1] (numeric) = 0.00269176275530537 absolute error = 2.981078925379244e-13 relative error = 1.107482046541246e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002691762755603478 y1[1] (numeric) = 0.002691762755597252 absolute error = 6.225922555280761e-15 relative error = 2.312953674063651e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.639999999999884 y2[1] (analytic) = 0.002618938301915087 y2[1] (numeric) = 0.002618938301616947 absolute error = 2.981408522839679e-13 relative error = 1.138403497577448e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002618938301915087 y1[1] (numeric) = 0.002618938301909003 absolute error = 6.084108911119657e-15 relative error = 2.323120367772955e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.640999999999885 y2[1] (analytic) = 0.002547111229205281 y2[1] (numeric) = 0.002547111228907106 absolute error = 2.981746793917495e-13 relative error = 1.170638627684832e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002547111229205281 y1[1] (numeric) = 0.002547111229199338 absolute error = 5.943162628696541e-15 relative error = 2.333295287835096e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.641999999999885 y2[1] (analytic) = 0.002476281609301125 y2[1] (numeric) = 0.002476281609002916 absolute error = 2.982089401804e-13 relative error = 1.204261014015134e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002476281609301125 y1[1] (numeric) = 0.002476281609295322 absolute error = 5.80265002714242e-15 relative error = 2.343291653641966e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.642999999999885 y2[1] (analytic) = 0.002406449513032233 y2[1] (numeric) = 0.002406449512733989 absolute error = 2.982440683307885e-13 relative error = 1.239353108035862e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002406449513032233 y1[1] (numeric) = 0.00240644951302657 absolute error = 5.662571106457293e-15 relative error = 2.353081199414902e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.643999999999886 y2[1] (analytic) = 0.002337615010230696 y2[1] (numeric) = 0.002337615009932416 absolute error = 2.982796301620461e-13 relative error = 1.275999806882697e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002337615010230696 y1[1] (numeric) = 0.002337615010225172 absolute error = 5.523359547510154e-15 relative error = 2.36281830983155e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.644999999999886 y2[1] (analytic) = 0.002269778169731011 y2[1] (numeric) = 0.002269778169432695 absolute error = 2.983160593550416e-13 relative error = 1.31429609876984e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002269778169731011 y1[1] (numeric) = 0.002269778169725626 absolute error = 5.385015350301003e-15 relative error = 2.372485303680217e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.645999999999886 y2[1] (analytic) = 0.002202939059370012 y2[1] (numeric) = 0.002202939059071659 absolute error = 2.983529222289061e-13 relative error = 1.354340334381414e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002202939059370012 y1[1] (numeric) = 0.002202939059364765 absolute error = 5.247104833960847e-15 relative error = 2.381865631571939e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.646999999999887 y2[1] (analytic) = 0.002137097745986805 y2[1] (numeric) = 0.002137097745688415 absolute error = 2.983902187836396e-13 relative error = 1.396240388835644e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002137097745986805 y1[1] (numeric) = 0.002137097745981695 absolute error = 5.109627998489685e-15 relative error = 2.390919183778519e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.647999999999887 y2[1] (analytic) = 0.002072254295422698 y2[1] (numeric) = 0.002072254295124269 absolute error = 2.984283827001111e-13 relative error = 1.440114677813891e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002072254295422698 y1[1] (numeric) = 0.002072254295417725 absolute error = 4.973018524756512e-15 relative error = 2.399810938136874e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.648999999999887 y2[1] (analytic) = 0.002008408772521135 y2[1] (numeric) = 0.002008408772222667 absolute error = 2.984674139783206e-13 relative error = 1.486088977811312e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002008408772521135 y1[1] (numeric) = 0.002008408772516298 absolute error = 4.837276412761327e-15 relative error = 2.408511892073217e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.649999999999888 y2[1] (analytic) = 0.001945561241127634 y2[1] (numeric) = 0.001945561240829127 absolute error = 2.98506878937399e-13 relative error = 1.534297007090799e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001945561241127634 y1[1] (numeric) = 0.001945561241122932 absolute error = 4.701751141200639e-15 relative error = 2.416655431764017e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.650999999999888 y2[1] (analytic) = 0.001883711764089722 y2[1] (numeric) = 0.001883711763791175 absolute error = 2.985472112582155e-13 relative error = 1.584887969325203e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001883711764089722 y1[1] (numeric) = 0.001883711764085155 absolute error = 4.567093231377939e-15 relative error = 2.424518080973458e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.651999999999888 y2[1] (analytic) = 0.00182286040325687 y2[1] (numeric) = 0.001822860402958281 absolute error = 2.985881941003354e-13 relative error = 1.638020078591063e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.00182286040325687 y1[1] (numeric) = 0.001822860403252437 absolute error = 4.433085842858731e-15 relative error = 2.431939294384924e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.652999999999889 y2[1] (analytic) = 0.001763007219480434 y2[1] (numeric) = 0.001763007219181804 absolute error = 2.986300443041934e-13 relative error = 1.693867393193098e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001763007219480434 y1[1] (numeric) = 0.001763007219476134 absolute error = 4.299945816077511e-15 relative error = 2.438983668679884e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.653999999999889 y2[1] (analytic) = 0.001704152272613592 y2[1] (numeric) = 0.00170415227231492 absolute error = 2.986725450293548e-13 relative error = 1.75261653450306e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001704152272613592 y1[1] (numeric) = 0.001704152272609425 absolute error = 4.167239470165285e-15 relative error = 2.445344548802644e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.654999999999889 y2[1] (analytic) = 0.001646295621511288 y2[1] (numeric) = 0.001646295621212572 absolute error = 2.987156962758197e-13 relative error = 1.814471789711746e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001646295621511288 y1[1] (numeric) = 0.001646295621507252 absolute error = 4.03518364555655e-15 relative error = 2.451068685861098e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.65599999999989 y2[1] (analytic) = 0.001589437324030166 y2[1] (numeric) = 0.001589437323731406 absolute error = 2.987597148840226e-13 relative error = 1.879657098566741e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001589437324030166 y1[1] (numeric) = 0.001589437324026262 absolute error = 3.903995182685804e-15 relative error = 2.456212096987166e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.65699999999989 y2[1] (analytic) = 0.00153357743702852 y2[1] (numeric) = 0.001533577436729716 absolute error = 2.988041671730945e-13 relative error = 1.948412645872395e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.00153357743702852 y1[1] (numeric) = 0.001533577437024747 absolute error = 3.773240400684053e-15 relative error = 2.460417263307637e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.65799999999989 y2[1] (analytic) = 0.001478716016366233 y2[1] (numeric) = 0.001478716016067383 absolute error = 2.988494868239044e-13 relative error = 2.021006626805133e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001478716016366233 y1[1] (numeric) = 0.001478716016362589 absolute error = 3.643352980420289e-15 relative error = 2.463862526743568e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.658999999999891 y2[1] (analytic) = 0.001424853116904719 y2[1] (numeric) = 0.001424853116605824 absolute error = 2.988954569960178e-13 relative error = 2.097728204050419e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001424853116904719 y1[1] (numeric) = 0.001424853116901205 absolute error = 3.51389924102552e-15 relative error = 2.466148404587093e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.659999999999891 y2[1] (analytic) = 0.001371988792506875 y2[1] (numeric) = 0.001371988792207933 absolute error = 2.989420776894347e-13 relative error = 2.178895916075326e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001371988792506875 y1[1] (numeric) = 0.00137198879250349 absolute error = 3.385096022934242e-15 relative error = 2.467291308370713e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.660999999999891 y2[1] (analytic) = 0.00132012309603702 y2[1] (numeric) = 0.00132012309573803 absolute error = 2.989893489041551e-13 relative error = 2.264859616513903e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.00132012309603702 y1[1] (numeric) = 0.001320123096033762 absolute error = 3.257160166580952e-15 relative error = 2.467315492289223e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.661999999999892 y2[1] (analytic) = 0.001269256079360846 y2[1] (numeric) = 0.001269256079061808 absolute error = 2.990372706401789e-13 relative error = 2.356004241403862e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001269256079360846 y1[1] (numeric) = 0.001269256079357716 absolute error = 3.129874831531154e-15 relative error = 2.465912814935858e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.662999999999892 y2[1] (analytic) = 0.001219387793345366 y2[1] (numeric) = 0.00121938779304628 absolute error = 2.990860597379408e-13 relative error = 2.45275589414754e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001219387793345366 y1[1] (numeric) = 0.001219387793342362 absolute error = 3.003240017784847e-15 relative error = 2.462908054496363e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.663999999999892 y2[1] (analytic) = 0.001170518287858861 y2[1] (numeric) = 0.001170518287559726 absolute error = 2.991352825165716e-13 relative error = 2.555579742916762e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001170518287858861 y1[1] (numeric) = 0.001170518287855984 absolute error = 2.877038884907535e-15 relative error = 2.457918782431225e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.664999999999893 y2[1] (analytic) = 0.001122647611770834 y2[1] (numeric) = 0.001122647611471648 absolute error = 2.991853726569405e-13 relative error = 2.664998077045865e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001122647611770834 y1[1] (numeric) = 0.001122647611768082 absolute error = 2.751921954202707e-15 relative error = 2.451278500349634e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.665999999999893 y2[1] (analytic) = 0.001075775812951955 y2[1] (numeric) = 0.001075775812652719 absolute error = 2.992361133186128e-13 relative error = 2.781584320040637e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001075775812951955 y1[1] (numeric) = 0.001075775812949328 absolute error = 2.627238704366874e-15 relative error = 2.442180492195364e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.666999999999893 y2[1] (analytic) = 0.001029902938274021 y2[1] (numeric) = 0.001029902937974733 absolute error = 2.992875045015886e-13 relative error = 2.905977771100977e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001029902938274021 y1[1] (numeric) = 0.001029902938271518 absolute error = 2.503205975834533e-15 relative error = 2.430526103779809e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.667999999999894 y2[1] (analytic) = 0.0009850290336099014 y2[1] (numeric) = 0.0009850290333105619 absolute error = 2.993395462058679e-13 relative error = 3.038890590959115e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0009850290336099014 y1[1] (numeric) = 0.0009850290336075216 absolute error = 2.379823768605682e-15 relative error = 2.415993526489452e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.668999999999894 y2[1] (analytic) = 0.0009411541438334978 y2[1] (numeric) = 0.0009411541435341054 absolute error = 2.993923468516679e-13 relative error = 3.181119148370177e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0009411541438334978 y1[1] (numeric) = 0.0009411541438312407 absolute error = 2.257092082680323e-15 relative error = 2.39821722878121e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.669999999999894 y2[1] (analytic) = 0.0008982783128196961 y2[1] (numeric) = 0.0008982783125202502 absolute error = 2.994459064389887e-13 relative error = 3.333553779106921e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0008982783128196961 y1[1] (numeric) = 0.000898278312817561 absolute error = 2.135119338275704e-15 relative error = 2.376901799592114e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.670999999999895 y2[1] (analytic) = 0.0008564015834443238 y2[1] (numeric) = 0.0008564015831448237 absolute error = 2.99500116547613e-13 relative error = 3.497192465981516e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0008564015834443238 y1[1] (numeric) = 0.00085640158344231 absolute error = 2.013797115174576e-15 relative error = 2.351463558807743e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.671999999999895 y2[1] (analytic) = 0.0008155239975841066 y2[1] (numeric) = 0.0008155239972845518 absolute error = 2.995548687573235e-13 relative error = 3.673158235008649e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0008155239975841066 y1[1] (numeric) = 0.0008155239975822136 absolute error = 1.893016993159691e-15 relative error = 2.321227822562585e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.672999999999895 y2[1] (analytic) = 0.0007756455961166274 y2[1] (numeric) = 0.0007756455958170169 absolute error = 2.99610488328772e-13 relative error = 3.862724030521307e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0007756455961166274 y1[1] (numeric) = 0.0007756455961148542 absolute error = 1.773104232882794e-15 relative error = 2.285972152436726e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.673999999999896 y2[1] (analytic) = 0.0007367664189202837 y2[1] (numeric) = 0.0007367664186206171 absolute error = 2.996665415810895e-13 relative error = 4.067320848040886e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0007367664189202837 y1[1] (numeric) = 0.0007367664189186301 absolute error = 1.653625153474891e-15 relative error = 2.244436107577006e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.674999999999896 y2[1] (analytic) = 0.0006988865048742501 y2[1] (numeric) = 0.0006988865045745265 absolute error = 2.997235706153623e-13 relative error = 4.288587181538027e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0006988865048742501 y1[1] (numeric) = 0.000698886504872715 absolute error = 1.535013435804977e-15 relative error = 2.1963701188953e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.675999999999896 y2[1] (analytic) = 0.0006620058918584371 y2[1] (numeric) = 0.0006620058915586559 absolute error = 2.997811417507212e-13 relative error = 4.52837573558675e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0006620058918584371 y1[1] (numeric) = 0.0006620058918570201 absolute error = 1.416943819221306e-15 relative error = 2.140379468894975e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.676999999999897 y2[1] (analytic) = 0.0006261246167534548 y2[1] (numeric) = 0.0006261246164536153 absolute error = 2.99839471827601e-13 relative error = 4.788814619401346e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0006261246167534548 y1[1] (numeric) = 0.0006261246167521551 absolute error = 1.299633144158374e-15 relative error = 2.075678082898508e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.677999999999897 y2[1] (analytic) = 0.0005912427154405751 y2[1] (numeric) = 0.0005912427151406768 absolute error = 2.998983440055669e-13 relative error = 5.072338925682869e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0005912427154405751 y1[1] (numeric) = 0.0005912427154393923 absolute error = 1.182864570181685e-15 relative error = 2.000641258303288e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.678999999999897 y2[1] (analytic) = 0.0005573602228016967 y2[1] (numeric) = 0.0005573602225017387 absolute error = 2.999579751250536e-13 relative error = 5.381761432799192e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0005573602228016967 y1[1] (numeric) = 0.0005573602228006299 absolute error = 1.066854937725736e-15 relative error = 1.91412105507449e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.679999999999898 y2[1] (analytic) = 0.0005244771727193093 y2[1] (numeric) = 0.0005244771724192909 absolute error = 3.000183651860611e-13 relative error = 5.72033218587047e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0005244771727193093 y1[1] (numeric) = 0.0005244771727183578 absolute error = 9.514958265732787e-16 relative error = 1.814179674665273e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.680999999999898 y2[1] (analytic) = 0.0004925935980764603 y2[1] (numeric) = 0.0004925935977763807 absolute error = 3.000795141885892e-13 relative error = 6.091827327037469e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0004925935980764603 y1[1] (numeric) = 0.0004925935980756234 absolute error = 8.368956569415609e-16 relative error = 1.698957640151178e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.681999999999898 y2[1] (analytic) = 0.0004617095307567214 y2[1] (numeric) = 0.0004617095304565802 absolute error = 3.001412052922037e-13 relative error = 6.500649982258014e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0004617095307567214 y1[1] (numeric) = 0.0004617095307559986 absolute error = 7.227833782874615e-16 relative error = 1.565450418800868e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.682999999999899 y2[1] (analytic) = 0.0004318250016441576 y2[1] (numeric) = 0.000431825001343954 absolute error = 3.002036553373388e-13 relative error = 6.951974855423484e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0004318250016441576 y1[1] (numeric) = 0.0004318250016435482 absolute error = 6.09430041154102e-16 relative error = 1.411289385361477e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.683999999999899 y2[1] (analytic) = 0.0004029400406232955 y2[1] (numeric) = 0.0004029400403230288 absolute error = 3.002667559037775e-13 relative error = 7.451896700047583e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0004029400406232955 y1[1] (numeric) = 0.0004029400406227988 absolute error = 4.967272253242339e-16 relative error = 1.232757172893172e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.684999999999899 y2[1] (analytic) = 0.0003750546765790938 y2[1] (numeric) = 0.0003750546762787632 absolute error = 3.003306154117369e-13 relative error = 8.007648862056019e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0003750546765790938 y1[1] (numeric) = 0.0003750546765787091 absolute error = 3.847291409064812e-16 relative error = 1.025794810547702e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.6859999999999 y2[1] (analytic) = 0.000348168937396914 y2[1] (numeric) = 0.0003481689370965189 absolute error = 3.003951254409998e-13 relative error = 8.627855422339072e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.000348168937396914 y1[1] (numeric) = 0.0003481689373966407 absolute error = 2.733815777922199e-16 relative error = 7.851980703280367e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.6869999999999 y2[1] (analytic) = 0.0003222828499624932 y2[1] (numeric) = 0.0003222828496620329 absolute error = 3.004602859915662e-13 relative error = 9.322875419108813e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0003222828499624932 y1[1] (numeric) = 0.0003222828499623306 absolute error = 1.626303258728257e-16 relative error = 5.046198576553247e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.6879999999999 y2[1] (analytic) = 0.0002973964401619166 y2[1] (numeric) = 0.0002973964398613904 absolute error = 3.005262054836533e-13 relative error = 1.010523882935628e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0002973964401619166 y1[1] (numeric) = 0.000297396440161864 absolute error = 5.263801547417124e-17 relative error = 1.769961181966826e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.688999999999901 y2[1] (analytic) = 0.000273509732881592 y2[1] (numeric) = 0.0002735097325809992 absolute error = 3.005927754970439e-13 relative error = 1.0990203980316e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.000273509732881592 y1[1] (numeric) = 0.0002735097328816487 absolute error = 5.670377362099188e-17 relative error = 2.073190340379591e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.689999999999901 y2[1] (analytic) = 0.0002506227520082247 y2[1] (numeric) = 0.0002506227517075646 absolute error = 3.006600502418466e-13 relative error = 1.199651858551054e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0002506227520082247 y1[1] (numeric) = 0.00025062275200839 absolute error = 1.653408313040394e-16 relative error = 6.597199575025553e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.690999999999901 y2[1] (analytic) = 0.0002287355204287935 y2[1] (numeric) = 0.0002287355201280655 absolute error = 3.007279755079528e-13 relative error = 1.314741037789848e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0002287355204287935 y1[1] (numeric) = 0.0002287355204290669 absolute error = 2.734086828465321e-16 relative error = 1.195304875840854e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.691999999999902 y2[1] (analytic) = 0.0002078480600305283 y2[1] (numeric) = 0.0002078480597297316 absolute error = 3.007966597155798e-13 relative error = 1.447194934951038e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0002078480600305283 y1[1] (numeric) = 0.000207848060030909 absolute error = 3.80744697922597e-16 relative error = 1.831841480101734e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.692999999999902 y2[1] (analytic) = 0.0001879603917008877 y2[1] (numeric) = 0.0001879603914000217 absolute error = 3.008660215495645e-13 relative error = 1.600688415399506e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0001879603917008877 y1[1] (numeric) = 0.0001879603917013751 absolute error = 4.874030866408585e-16 relative error = 2.593115933789345e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.693999999999902 y2[1] (analytic) = 0.0001690725353275385 y2[1] (numeric) = 0.0001690725350266024 absolute error = 3.009360339048528e-13 relative error = 1.779922642798605e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0001690725353275385 y1[1] (numeric) = 0.0001690725353281319 absolute error = 5.934380591099409e-16 relative error = 3.509961319029691e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.694999999999903 y2[1] (analytic) = 0.0001511845097983353 y2[1] (numeric) = 0.0001511845094973285 absolute error = 3.010068052016618e-13 relative error = 1.990989722446923e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0001511845097983353 y1[1] (numeric) = 0.0001511845097990341 absolute error = 6.987411951125955e-16 relative error = 4.621777694319641e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.695999999999903 y2[1] (analytic) = 0.0001342963330013023 y2[1] (numeric) = 0.0001342963327002241 absolute error = 3.010782270197743e-13 relative error = 2.241894624307088e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0001342963330013023 y1[1] (numeric) = 0.0001342963330021057 absolute error = 8.034209148660709e-16 relative error = 5.982448641082999e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.696999999999903 y2[1] (analytic) = 0.0001184080218246148 y2[1] (numeric) = 0.0001184080215234645 absolute error = 3.011503129117174e-13 relative error = 2.543326949231356e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0001184080218246148 y1[1] (numeric) = 0.0001184080218255222 absolute error = 9.074636658432111e-16 relative error = 7.663869827901868e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.697999999999904 y2[1] (analytic) = 0.0001035195921565827 y2[1] (numeric) = 0.0001035195918553595 absolute error = 3.01223130640127e-13 relative error = 2.909817594571856e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0001035195921565827 y1[1] (numeric) = 0.0001035195921575935 absolute error = 1.010801685408236e-15 relative error = 9.764351504392595e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.698999999999904 y2[1] (analytic) = 8.963105888563439e-05 y2[1] (numeric) = 8.963105858433772e-05 absolute error = 3.012966666524758e-13 relative error = 3.36152077637416e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 8.963105888563439e-05 y1[1] (numeric) = 8.963105888674782e-05 absolute error = 1.113434973561145e-15 relative error = 1.242242351484258e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.699999999999904 y2[1] (analytic) = 7.6742435900302e-05 y2[1] (numeric) = 7.674243559893113e-05 absolute error = 3.013708667386553e-13 relative error = 3.92704327407816e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 7.6742435900302e-05 y1[1] (numeric) = 7.674243590151743e-05 absolute error = 1.215431292937719e-15 relative error = 1.583779923948095e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.700999999999905 y2[1] (analytic) = 6.485373608920741e-05 y2[1] (numeric) = 6.485373578776168e-05 absolute error = 3.014457308986654e-13 relative error = 4.648085817045632e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 6.485373608920741e-05 y1[1] (numeric) = 6.48537360905242e-05 absolute error = 1.316790643537957e-15 relative error = 2.030400595158758e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.701999999999905 y2[1] (analytic) = 5.396497134104952e-05 y2[1] (numeric) = 5.396497103952818e-05 absolute error = 3.015213336714055e-13 relative error = 5.587352799019229e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 5.396497134104952e-05 y1[1] (numeric) = 5.396497134246695e-05 absolute error = 1.417431710198924e-15 relative error = 2.626577342626562e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.702999999999905 y2[1] (analytic) = 4.407615254459213e-05 y2[1] (numeric) = 4.40761522429945e-05 absolute error = 3.015976276230306e-13 relative error = 6.842648693483452e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 4.407615254459213e-05 y1[1] (numeric) = 4.407615254610953e-05 absolute error = 1.517401926765666e-15 relative error = 3.442682355794328e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.703999999999906 y2[1] (analytic) = 3.518728958865319e-05 y2[1] (numeric) = 3.518728928697858e-05 absolute error = 3.016746059772771e-13 relative error = 8.573397084683607e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 3.518728958865319e-05 y1[1] (numeric) = 3.51872895902699e-05 absolute error = 1.616714845765338e-15 relative error = 4.594598972143278e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.704999999999906 y2[1] (analytic) = 2.729839136209489e-05 y2[1] (numeric) = 2.729839106034266e-05 absolute error = 3.017522382409588e-13 relative error = 1.105384688197987e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.729839136209489e-05 y1[1] (numeric) = 2.729839136381029e-05 absolute error = 1.715394184120464e-15 relative error = 6.28386545334085e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.705999999999906 y2[1] (analytic) = 2.04094657538149e-05 y2[1] (numeric) = 2.040946545198429e-05 absolute error = 3.018306091173706e-13 relative error = 1.478875599969847e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.04094657538149e-05 y1[1] (numeric) = 2.040946575562825e-05 absolute error = 1.813355238536318e-15 relative error = 8.884873618984218e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.706999999999907 y2[1] (analytic) = 1.452051965273817e-05 y2[1] (numeric) = 1.452051935082851e-05 absolute error = 3.019096643964037e-13 relative error = 2.079193249392227e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 1.452051965273817e-05 y1[1] (numeric) = 1.452051965464883e-05 absolute error = 1.910658995385103e-15 relative error = 1.315833758762762e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.707999999999907 y2[1] (analytic) = 9.631558947810308e-06 y2[1] (numeric) = 9.631558645820934e-06 absolute error = 3.019893735848721e-13 relative error = 3.135415307337429e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 9.631558947810308e-06 y1[1] (numeric) = 9.631558949817639e-06 absolute error = 2.007330865655237e-15 relative error = 2.084118341103643e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.708999999999907 y2[1] (analytic) = 5.742588527991681e-06 y2[1] (numeric) = 5.742588225921857e-06 absolute error = 3.020698239271694e-13 relative error = 5.260168344898121e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 5.742588527991681e-06 y1[1] (numeric) = 5.742588530094966e-06 absolute error = 2.103284451986098e-15 relative error = 3.662606926708828e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.709999999999908 y2[1] (analytic) = 2.853612282252332e-06 y2[1] (numeric) = 2.853611980101374e-06 absolute error = 3.021509582485716e-13 relative error = 1.058836759736983e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 2.853612282252332e-06 y1[1] (numeric) = 2.853612284450911e-06 absolute error = 2.198579046683996e-15 relative error = 7.704547181681865e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.710999999999908 y2[1] (analytic) = 9.646330995682667e-07 y2[1] (numeric) = 9.646327973354906e-07 absolute error = 3.022327761255622e-13 relative error = 3.133137109444307e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 9.646330995682667e-07 y1[1] (numeric) = 9.646331018614797e-07 absolute error = 2.293212955683036e-15 relative error = 2.377290346671072e-07 % Correct digits = 8 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.711999999999908 y2[1] (analytic) = 7.565286891852898e-08 y2[1] (numeric) = 7.565256660323194e-08 absolute error = 3.02315297039899e-13 relative error = 0.0003996085031031198 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 7.565286891852898e-08 y1[1] (numeric) = 7.565287130569631e-08 absolute error = 2.38716733250014e-15 relative error = 3.155422083293226e-06 % Correct digits = 7 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.712999999999909 y2[1] (analytic) = 1.866724792832521e-07 y2[1] (numeric) = 1.866721768847546e-07 absolute error = 3.023984975393573e-13 relative error = 0.0001619941507716869 % Correct digits = 5 h = 0.001 y1[1] (analytic) = 1.866724792832521e-07 y1[1] (numeric) = 1.866724817637175e-07 absolute error = 2.480465364662241e-15 relative error = 1.328779354185598e-06 % Correct digits = 7 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.713999999999909 y2[1] (analytic) = 1.297691819642844e-06 y2[1] (numeric) = 1.297691517160457e-06 absolute error = 3.024823867824809e-13 relative error = 2.330926204541624e-05 % Correct digits = 6 h = 0.001 y1[1] (analytic) = 1.297691819642844e-06 y1[1] (numeric) = 1.297691822215942e-06 absolute error = 2.573098052444274e-15 relative error = 1.982826749383727e-07 % Correct digits = 8 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.714999999999909 y2[1] (analytic) = 3.408709778978097e-06 y2[1] (numeric) = 3.408709476411092e-06 absolute error = 3.025670043151204e-13 relative error = 8.876291146318345e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 3.408709778978097e-06 y1[1] (numeric) = 3.408709781643122e-06 absolute error = 2.665025691176836e-15 relative error = 7.818282763796303e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.71599999999991 y2[1] (analytic) = 6.51972424627116e-06 y2[1] (numeric) = 6.519723943618876e-06 absolute error = 3.026522844392829e-13 relative error = 4.642102533897496e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 6.51972424627116e-06 y1[1] (numeric) = 6.519724249027474e-06 absolute error = 2.756313820034221e-15 relative error = 4.227653986456015e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.71699999999991 y2[1] (analytic) = 1.063073211050788e-05 y2[1] (numeric) = 1.06307318077696e-05 absolute error = 3.027382760711211e-13 relative error = 2.847765073224651e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 1.063073211050788e-05 y1[1] (numeric) = 1.063073211335479e-05 absolute error = 2.846913311105488e-15 relative error = 2.678003058972275e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.71799999999991 y2[1] (analytic) = 1.57417292606807e-05 y2[1] (numeric) = 1.574172895785574e-05 absolute error = 3.028249580348114e-13 relative error = 1.923708336105106e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 1.57417292606807e-05 y1[1] (numeric) = 1.574172926361755e-05 absolute error = 2.936846187247266e-15 relative error = 1.865643944584187e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.718999999999911 y2[1] (analytic) = 2.185271058579289e-05 y2[1] (numeric) = 2.185271028288058e-05 absolute error = 3.02912307460464e-13 relative error = 1.38615439156274e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.185271058579289e-05 y1[1] (numeric) = 2.185271058881902e-05 absolute error = 3.026133624283237e-15 relative error = 1.384786391785474e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.719999999999911 y2[1] (analytic) = 2.896366997486369e-05 y2[1] (numeric) = 2.89636696718633e-05 absolute error = 3.030003853344513e-13 relative error = 1.046139476100274e-06 % Correct digits = 7 h = 0.001 y1[1] (analytic) = 2.896366997486369e-05 y1[1] (numeric) = 2.89636699779784e-05 absolute error = 3.114716329907091e-15 relative error = 1.075387315423155e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.720999999999911 y2[1] (analytic) = 3.707460031693424e-05 y2[1] (numeric) = 3.70746000138451e-05 absolute error = 3.030891374466646e-13 relative error = 8.175115439025387e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 3.707460031693424e-05 y1[1] (numeric) = 3.707460032013689e-05 absolute error = 3.202645126095666e-15 relative error = 8.638380720810688e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.721999999999912 y2[1] (analytic) = 4.618549350107493e-05 y2[1] (numeric) = 4.618549319789632e-05 absolute error = 3.03178611230949e-13 relative error = 6.564368771417214e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 4.618549350107493e-05 y1[1] (numeric) = 4.618549350436481e-05 absolute error = 3.289875967135703e-15 relative error = 7.123180283997903e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.722999999999912 y2[1] (analytic) = 5.629634041639327e-05 y2[1] (numeric) = 5.629634011312453e-05 absolute error = 3.032687355365368e-13 relative error = 5.387006212009941e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 5.629634041639327e-05 y1[1] (numeric) = 5.629634041976974e-05 absolute error = 3.376476615662982e-15 relative error = 5.997684024732389e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.723999999999912 y2[1] (analytic) = 6.740713095204322e-05 y2[1] (numeric) = 6.740713064868366e-05 absolute error = 3.033595645735368e-13 relative error = 4.50040760211797e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 6.740713095204322e-05 y1[1] (numeric) = 6.740713095550562e-05 absolute error = 3.462399637832458e-15 relative error = 5.13654800156942e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.724999999999913 y2[1] (analytic) = 7.951785399723521e-05 y2[1] (numeric) = 7.95178536937841e-05 absolute error = 3.03451111894476e-13 relative error = 3.816138095288976e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 7.951785399723521e-05 y1[1] (numeric) = 7.951785400078283e-05 absolute error = 3.547617928589819e-15 relative error = 4.461410551538737e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.725999999999913 y2[1] (analytic) = 9.262849744124714e-05 y2[1] (numeric) = 9.26284971377038e-05 absolute error = 3.035433368417731e-13 relative error = 3.276997308893044e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 9.262849744124714e-05 y1[1] (numeric) = 9.262849744487934e-05 absolute error = 3.632199250570844e-15 relative error = 3.921254636430536e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.726999999999913 y2[1] (analytic) = 0.0001067390481734367 y2[1] (numeric) = 0.0001067390478698004 absolute error = 3.036362258629008e-13 relative error = 2.844659298156122e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0001067390481734367 y1[1] (numeric) = 0.0001067390481771528 absolute error = 3.716130051248379e-15 relative error = 3.481509452108065e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.727999999999914 y2[1] (analytic) = 0.0001218494920832543 y2[1] (numeric) = 0.0001218494917795244 absolute error = 3.037298602730221e-13 relative error = 2.492664147221041e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0001218494920832543 y1[1] (numeric) = 0.0001218494920870536 absolute error = 3.799329015459485e-15 relative error = 3.118050761232204e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.728999999999914 y2[1] (analytic) = 0.0001379598140602573 y2[1] (numeric) = 0.0001379598137564331 absolute error = 3.03824158756974e-13 relative error = 2.20226564399595e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0001379598140602573 y1[1] (numeric) = 0.0001379598140641392 absolute error = 3.8818774583671e-15 relative error = 2.813774057909063e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.729999999999914 y2[1] (analytic) = 0.0001550699979941251 y2[1] (numeric) = 0.0001550699976902059 absolute error = 3.03919161972338e-13 relative error = 1.959883703512089e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0001550699979941251 y1[1] (numeric) = 0.0001550699979980888 absolute error = 3.963761827444068e-15 relative error = 2.55611135533402e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.730999999999915 y2[1] (analytic) = 0.0001731800267746751 y2[1] (numeric) = 0.0001731800264706603 absolute error = 3.040148428140599e-13 relative error = 1.755484442842905e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0001731800267746751 y1[1] (numeric) = 0.0001731800267787201 absolute error = 4.044995675217544e-15 relative error = 2.335717201661191e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.731999999999915 y2[1] (analytic) = 0.0001922898822918802 y2[1] (numeric) = 0.000192289881987769 absolute error = 3.041112283871938e-13 relative error = 1.581524855923403e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0001922898822918802 y1[1] (numeric) = 0.0001922898822960057 absolute error = 4.125551896633217e-15 relative error = 2.145485684145861e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.732999999999915 y2[1] (analytic) = 0.0002123995454358863 y2[1] (numeric) = 0.000212399545131678 absolute error = 3.042083729018485e-13 relative error = 1.432245875468105e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0002123995454358863 y1[1] (numeric) = 0.0002123995454400917 absolute error = 4.205376281582462e-15 relative error = 1.979936573287946e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.733999999999916 y2[1] (analytic) = 0.0002335089960970321 y2[1] (numeric) = 0.0002335089957927259 absolute error = 3.043061679378067e-13 relative error = 1.3031881984168e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0002335089960970321 y1[1] (numeric) = 0.0002335089961013166 absolute error = 4.284577250282529e-15 relative error = 1.83486603167191e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.734999999999916 y2[1] (analytic) = 0.0002556182131658685 y2[1] (numeric) = 0.0002556182128614639 absolute error = 3.044046134950684e-13 relative error = 1.190856511063798e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0002556182131658685 y1[1] (numeric) = 0.0002556182131702316 absolute error = 4.363100592624791e-15 relative error = 1.706881735298577e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.735999999999916 y2[1] (analytic) = 0.0002787271745331804 y2[1] (numeric) = 0.0002787271742286766 absolute error = 3.045038179938508e-13 relative error = 1.092479836255083e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0002787271745331804 y1[1] (numeric) = 0.0002787271745376213 absolute error = 4.44094630860925e-15 relative error = 1.593295062114795e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.736999999999917 y2[1] (analytic) = 0.0003028358570900083 y2[1] (numeric) = 0.0003028358567854046 absolute error = 3.046036730139368e-13 relative error = 1.005837538331543e-07 % Correct digits = 8 h = 0.001 y1[1] (analytic) = 0.0003028358570900083 y1[1] (numeric) = 0.0003028358570945264 absolute error = 4.518141503290218e-15 relative error = 1.491944034205746e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.737999999999917 y2[1] (analytic) = 0.0003279442367276717 y2[1] (numeric) = 0.0003279442364229675 absolute error = 3.047042327654348e-13 relative error = 9.291342815042802e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0003279442367276717 y1[1] (numeric) = 0.0003279442367322663 absolute error = 4.594631966559071e-15 relative error = 1.401040619711973e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.738999999999917 y2[1] (analytic) = 0.000354052288337793 y2[1] (numeric) = 0.0003540522880329875 absolute error = 3.048054972483449e-13 relative error = 8.609053162157142e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.000354052288337793 y1[1] (numeric) = 0.0003540522883424635 absolute error = 4.670471908524432e-15 relative error = 1.319147499498279e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.739999999999918 y2[1] (analytic) = 0.0003811599858123229 y2[1] (numeric) = 0.0003811599855074154 absolute error = 3.049074664626672e-13 relative error = 7.999461586001811e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0003811599858123229 y1[1] (numeric) = 0.0003811599858170685 absolute error = 4.745607119077677e-15 relative error = 1.24504336649187e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.740999999999918 y2[1] (analytic) = 0.000409267302043566 y2[1] (numeric) = 0.0004092673017385559 absolute error = 3.05010086198293e-13 relative error = 7.452588679215449e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.000409267302043566 y1[1] (numeric) = 0.0004092673020483861 absolute error = 4.820146018436056e-15 relative error = 1.177750090067776e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.741999999999918 y2[1] (analytic) = 0.0004383742089242086 y2[1] (numeric) = 0.0004383742086190951 absolute error = 3.051134648754394e-13 relative error = 6.960114410567232e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0004383742089242086 y1[1] (numeric) = 0.0004383742089291025 absolute error = 4.893925976273694e-15 relative error = 1.116380908512758e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.742999999999919 y2[1] (analytic) = 0.000468480677347346 y2[1] (numeric) = 0.0004684806770421285 absolute error = 3.052174940738894e-13 relative error = 6.515049794627747e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.000468480677347346 y1[1] (numeric) = 0.0004684806773523131 absolute error = 4.967055412807841e-15 relative error = 1.060247658651055e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.743999999999919 y2[1] (analytic) = 0.0004995866772065125 y2[1] (numeric) = 0.0004995866769011904 absolute error = 3.053221737936429e-13 relative error = 6.111495516671531e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0004995866772065125 y1[1] (numeric) = 0.000499586677211552 absolute error = 5.039480117929873e-15 relative error = 1.008729885694434e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.744999999999919 y2[1] (analytic) = 0.0005316921773957108 y2[1] (numeric) = 0.0005316921770902833 absolute error = 3.054275582448085e-13 relative error = 5.744443330741251e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0005316921773957108 y1[1] (numeric) = 0.0005316921774008221 absolute error = 5.111254301748414e-15 relative error = 9.613183189536326e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.74599999999992 y2[1] (analytic) = 0.0005647971458094433 y2[1] (numeric) = 0.0005647971455039096 absolute error = 3.055337016374948e-13 relative error = 5.40961837191328e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0005647971458094433 y1[1] (numeric) = 0.0005647971458146257 absolute error = 5.182377964263463e-15 relative error = 9.175644747347826e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.74699999999992 y2[1] (analytic) = 0.0005989015493427445 y2[1] (numeric) = 0.000598901549037104 absolute error = 3.056404955514846e-13 relative error = 5.103351225036991e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0005989015493427445 y1[1] (numeric) = 0.0005989015493479973 absolute error = 5.25285110547502e-15 relative error = 8.770809010662409e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.74799999999992 y2[1] (analytic) = 0.0006340053538912134 y2[1] (numeric) = 0.0006340053535854655 absolute error = 3.05747939986778e-13 relative error = 4.822481988681126e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0006340053538912134 y1[1] (numeric) = 0.0006340053538965361 absolute error = 5.322673725383087e-15 relative error = 8.39531352963367e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.748999999999921 y2[1] (analytic) = 0.0006701085243510488 y2[1] (numeric) = 0.0006701085240451925 absolute error = 3.058562517838093e-13 relative error = 4.56427937668766e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0006701085243510488 y1[1] (numeric) = 0.0006701085243564405 absolute error = 5.391737403770414e-15 relative error = 8.046065984598416e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.749999999999921 y2[1] (analytic) = 0.0007072110246190829 y2[1] (numeric) = 0.0007072110243131178 absolute error = 3.059651056819268e-13 relative error = 4.326362217652437e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0007072110246190829 y1[1] (numeric) = 0.0007072110246245431 absolute error = 5.460150560854249e-15 relative error = 7.720680773882432e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.750999999999921 y2[1] (analytic) = 0.0007453128175928187 y2[1] (numeric) = 0.0007453128172867441 absolute error = 3.060746101013478e-13 relative error = 4.106659685390831e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0007453128175928187 y1[1] (numeric) = 0.0007453128175983466 absolute error = 5.527913196634593e-15 relative error = 7.416903434571841e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.751999999999922 y2[1] (analytic) = 0.0007844138651704664 y2[1] (numeric) = 0.0007844138648642814 absolute error = 3.061849818825069e-13 relative error = 3.903360145424861e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0007844138651704664 y1[1] (numeric) = 0.0007844138651760613 absolute error = 5.594916890894197e-15 relative error = 7.132608358061502e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.752999999999922 y2[1] (analytic) = 0.0008245141282509815 y2[1] (numeric) = 0.0008245141279446856 absolute error = 3.062958957647521e-13 relative error = 3.714865340324598e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0008245141282509815 y1[1] (numeric) = 0.0008245141282566429 absolute error = 5.661378484067559e-15 relative error = 6.866320770120556e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.753999999999922 y2[1] (analytic) = 0.0008656135667341044 y2[1] (numeric) = 0.0008656135664276969 absolute error = 3.064074601683009e-13 relative error = 3.539771925298646e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0008656135667341044 y1[1] (numeric) = 0.0008656135667398316 absolute error = 5.727189555937429e-15 relative error = 6.616335251705549e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.754999999999923 y2[1] (analytic) = 0.0009077121395204002 y2[1] (numeric) = 0.0009077121392138803 absolute error = 3.065198919335876e-13 relative error = 3.376840284360864e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0009077121395204002 y1[1] (numeric) = 0.0009077121395261924 absolute error = 5.792241686286559e-15 relative error = 6.381143794492992e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.755999999999923 y2[1] (analytic) = 0.0009508098045112993 y2[1] (numeric) = 0.0009508098042046665 absolute error = 3.066328657999606e-13 relative error = 3.224965333183169e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0009508098045112993 y1[1] (numeric) = 0.000950809804517156 absolute error = 5.856643295332198e-15 relative error = 6.15963704575219e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.756999999999923 y2[1] (analytic) = 0.0009949065186091405 y2[1] (numeric) = 0.0009949065183023939 absolute error = 3.067465986078544e-13 relative error = 3.08317005538048e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.0009949065186091405 y1[1] (numeric) = 0.0009949065186150609 absolute error = 5.920394383074346e-15 relative error = 5.950704184098561e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.757999999999924 y2[1] (analytic) = 0.001040002237717213 y2[1] (numeric) = 0.001040002237410352 absolute error = 3.068610903572688e-13 relative error = 2.950581058660253e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001040002237717213 y1[1] (numeric) = 0.001040002237723197 absolute error = 5.983278109078505e-15 relative error = 5.753139649210462e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.758999999999924 y2[1] (analytic) = 0.001086096916739802 y2[1] (numeric) = 0.001086096916432826 absolute error = 3.069760157875523e-13 relative error = 2.826414577338266e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001086096916739802 y1[1] (numeric) = 0.001086096916745848 absolute error = 6.04572815421367e-15 relative error = 5.566472071720329e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.759999999999924 y2[1] (analytic) = 0.001133190509582233 y2[1] (numeric) = 0.001133190509275141 absolute error = 3.070918085795737e-13 relative error = 2.709975118771402e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001133190509582233 y1[1] (numeric) = 0.00113319050958834 absolute error = 6.107310837610846e-15 relative error = 5.389482868032839e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.760999999999925 y2[1] (analytic) = 0.001181282969150915 y2[1] (numeric) = 0.001181282968843707 absolute error = 3.072082518928987e-13 relative error = 2.600632193264535e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001181282969150915 y1[1] (numeric) = 0.001181282969157084 absolute error = 6.168459840139029e-15 relative error = 5.221830840897339e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.761999999999925 y2[1] (analytic) = 0.001230374247353394 y2[1] (numeric) = 0.001230374247046069 absolute error = 3.073255625679616e-13 relative error = 2.497821806893606e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001230374247353394 y1[1] (numeric) = 0.001230374247359623 absolute error = 6.228741480929223e-15 relative error = 5.06247712379189e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.762999999999925 y2[1] (analytic) = 0.001280464295098396 y2[1] (numeric) = 0.001280464294790952 absolute error = 3.07443523764328e-13 relative error = 2.401031601905799e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001280464295098396 y1[1] (numeric) = 0.001280464295104684 absolute error = 6.288372600415926e-15 relative error = 4.911009720839348e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.763999999999926 y2[1] (analytic) = 0.001331553062295876 y2[1] (numeric) = 0.001331553061988314 absolute error = 3.07562135481998e-13 relative error = 2.309800068738503e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001331553062295876 y1[1] (numeric) = 0.001331553062302224 absolute error = 6.347353198599137e-15 relative error = 4.76687965228736e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.764999999999926 y2[1] (analytic) = 0.001383640497857073 y2[1] (numeric) = 0.001383640497549391 absolute error = 3.076813977209714e-13 relative error = 2.223709107947448e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001383640497857073 y1[1] (numeric) = 0.001383640497863479 absolute error = 6.405900115913354e-15 relative error = 4.629743149202814e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.765999999999926 y2[1] (analytic) = 0.001436726549694554 y2[1] (numeric) = 0.001436726549386753 absolute error = 3.078013104812483e-13 relative error = 2.142379219947501e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001436726549694554 y1[1] (numeric) = 0.001436726549701018 absolute error = 6.463579671489583e-15 relative error = 4.498823852641778e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.766999999999927 y2[1] (analytic) = 0.001490811164722273 y2[1] (numeric) = 0.001490811164414351 absolute error = 3.079220906032631e-13 relative error = 2.065466759907361e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001490811164722273 y1[1] (numeric) = 0.001490811164728793 absolute error = 6.520608705762321e-15 relative error = 4.373866295116634e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.767999999999927 y2[1] (analytic) = 0.001545894288855618 y2[1] (numeric) = 0.001545894288547575 absolute error = 3.080435212465815e-13 relative error = 1.992655794560295e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001545894288855618 y1[1] (numeric) = 0.001545894288862195 absolute error = 6.57677037829707e-15 relative error = 4.254346772421073e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.768999999999927 y2[1] (analytic) = 0.001601975867011471 y2[1] (numeric) = 0.001601975866703306 absolute error = 3.081656024112034e-13 relative error = 1.923659455532839e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001601975867011471 y1[1] (numeric) = 0.001601975867018104 absolute error = 6.632498369962825e-15 relative error = 4.140198679981321e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.769999999999928 y2[1] (analytic) = 0.001659055843108258 y2[1] (numeric) = 0.001659055842799969 absolute error = 3.082883340971287e-13 relative error = 1.858215534924656e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001659055843108258 y1[1] (numeric) = 0.001659055843114945 absolute error = 6.687575840325088e-15 relative error = 4.030952826636534e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.770999999999928 y2[1] (analytic) = 0.001717134160066007 y2[1] (numeric) = 0.001717134159757595 absolute error = 3.084117163043576e-13 relative error = 1.796083983865898e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001717134160066007 y1[1] (numeric) = 0.001717134160072749 absolute error = 6.741785948949364e-15 relative error = 3.92618474766713e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.771999999999928 y2[1] (analytic) = 0.001776210759806406 y2[1] (numeric) = 0.00177621075949787 absolute error = 3.085359658733244e-13 relative error = 1.737045923012833e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001776210759806406 y1[1] (numeric) = 0.001776210759813202 absolute error = 6.795345536270148e-15 relative error = 3.825754065925593e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.772999999999929 y2[1] (analytic) = 0.001836285583252861 y2[1] (numeric) = 0.001836285582944201 absolute error = 3.086606491231603e-13 relative error = 1.680896762127751e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001836285583252861 y1[1] (numeric) = 0.00183628558325971 absolute error = 6.848471442721937e-15 relative error = 3.729524157451758e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.773999999999929 y2[1] (analytic) = 0.001897358570330554 y2[1] (numeric) = 0.001897358570021767 absolute error = 3.087864165751686e-13 relative error = 1.62745419555236e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001897358570330554 y1[1] (numeric) = 0.001897358570337454 absolute error = 6.900729987435739e-15 relative error = 3.637019430772913e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.774999999999929 y2[1] (analytic) = 0.001959429659966501 y2[1] (numeric) = 0.001959429659657588 absolute error = 3.089126177080459e-13 relative error = 1.57654354233531e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.001959429659966501 y1[1] (numeric) = 0.001959429659973453 absolute error = 6.952338010846049e-15 relative error = 3.548143703696364e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.77599999999993 y2[1] (analytic) = 0.002022498790089619 y2[1] (numeric) = 0.00202249878978058 absolute error = 3.090392525217922e-13 relative error = 1.528007107030696e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002022498790089619 y1[1] (numeric) = 0.002022498790096622 absolute error = 7.003512353387364e-15 relative error = 3.462801751825539e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.77699999999993 y2[1] (analytic) = 0.002086565897630782 y2[1] (numeric) = 0.002086565897321616 absolute error = 3.091667546972765e-13 relative error = 1.481701368973411e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002086565897630782 y1[1] (numeric) = 0.002086565897637836 absolute error = 7.053819334190692e-15 relative error = 3.3805878559599e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.77799999999993 y2[1] (analytic) = 0.00215163091852289 y2[1] (numeric) = 0.002151630918213595 absolute error = 3.092951242344988e-13 relative error = 1.437491539891201e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.00215163091852289 y1[1] (numeric) = 0.002151630918529993 absolute error = 7.103258953256031e-15 relative error = 3.301337089045211e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.778999999999931 y2[1] (analytic) = 0.002217693787700925 y2[1] (numeric) = 0.002217693787391501 absolute error = 3.094239274525901e-13 relative error = 1.395250909609882e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002217693787700925 y1[1] (numeric) = 0.002217693787708078 absolute error = 7.15269857232137e-15 relative error = 3.225286832649942e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.779999999999931 y2[1] (analytic) = 0.002284754439102025 y2[1] (numeric) = 0.002284754438792471 absolute error = 3.095535980324193e-13 relative error = 1.354865944167212e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002284754439102025 y1[1] (numeric) = 0.002284754439109226 absolute error = 7.200837148779726e-15 relative error = 3.151689750785587e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.780999999999931 y2[1] (analytic) = 0.002352812805665544 y2[1] (numeric) = 0.002352812805355859 absolute error = 3.096841359739866e-13 relative error = 1.316229388195572e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002352812805665544 y1[1] (numeric) = 0.002352812805672792 absolute error = 7.248542044369088e-15 relative error = 3.080798449802165e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.781999999999932 y2[1] (analytic) = 0.00242186881933312 y2[1] (numeric) = 0.002421868819023305 absolute error = 3.098151075964228e-13 relative error = 1.279239837943547e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.00242186881933312 y1[1] (numeric) = 0.002421868819340415 absolute error = 7.295379578220462e-15 relative error = 3.01229344875471e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.782999999999932 y2[1] (analytic) = 0.002491922411048746 y2[1] (numeric) = 0.002491922410738799 absolute error = 3.099469465805971e-13 relative error = 1.243806569604041e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002491922411048746 y1[1] (numeric) = 0.002491922411056087 absolute error = 7.341349750333848e-15 relative error = 2.946058720682311e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.783999999999932 y2[1] (analytic) = 0.002562973510758836 y2[1] (numeric) = 0.002562973510448757 absolute error = 3.100792192456403e-13 relative error = 1.209841685620204e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002562973510758836 y1[1] (numeric) = 0.002562973510766223 absolute error = 7.386886241578239e-15 relative error = 2.882154735727704e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.784999999999933 y2[1] (analytic) = 0.002635022047412296 y2[1] (numeric) = 0.002635022047102084 absolute error = 3.102123592724215e-13 relative error = 1.177266655423484e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002635022047412296 y1[1] (numeric) = 0.002635022047419728 absolute error = 7.431555371084642e-15 relative error = 2.820301021155684e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.785999999999933 y2[1] (analytic) = 0.002708067948960596 y2[1] (numeric) = 0.00270806794865025 absolute error = 3.103459329800717e-13 relative error = 1.146004970440967e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002708067948960596 y1[1] (numeric) = 0.002708067948968071 absolute error = 7.47579081972205e-15 relative error = 2.760562497182314e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.786999999999933 y2[1] (analytic) = 0.002782111142357839 y2[1] (numeric) = 0.002782111142047359 absolute error = 3.104803740494599e-13 relative error = 1.115988392132774e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002782111142357839 y1[1] (numeric) = 0.002782111142365359 absolute error = 7.51915890662147e-15 relative error = 2.702680993631686e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.787999999999934 y2[1] (analytic) = 0.00285715155356084 y2[1] (numeric) = 0.002857151553250224 absolute error = 3.106156824805861e-13 relative error = 1.08715157966846e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.00285715155356084 y1[1] (numeric) = 0.002857151553568402 absolute error = 7.561659631782902e-15 relative error = 2.646572815627817e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.788999999999934 y2[1] (analytic) = 0.002933189107529192 y2[1] (numeric) = 0.002933189107218441 absolute error = 3.107514245925813e-13 relative error = 1.059431946596674e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.002933189107529192 y1[1] (numeric) = 0.002933189107536796 absolute error = 7.604160356944334e-15 relative error = 2.592454859942458e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.789999999999934 y2[1] (analytic) = 0.003010223728225349 y2[1] (numeric) = 0.003010223727914461 absolute error = 3.108880340663145e-13 relative error = 1.032773847177119e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.003010223728225349 y1[1] (numeric) = 0.003010223728232995 absolute error = 7.645793720367777e-15 relative error = 2.539942014501124e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.790999999999935 y2[1] (analytic) = 0.003088255338614696 y2[1] (numeric) = 0.00308825533830367 absolute error = 3.110255109017857e-13 relative error = 1.007123688941158e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = 0.003088255338614696 y1[1] (numeric) = 0.003088255338622382 absolute error = 7.686559722053232e-15 relative error = 2.488965088457098e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.791999999999935 y2[1] (analytic) = 0.003167283860665628 y2[1] (numeric) = 0.003167283860354465 absolute error = 3.111634214181258e-13 relative error = 9.824298519070297e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003167283860665628 y1[1] (numeric) = 0.003167283860673355 absolute error = 7.726892042869693e-15 relative error = 2.439595686016545e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.792999999999935 y2[1] (analytic) = 0.003247309215349632 y2[1] (numeric) = 0.003247309215038329 absolute error = 3.113026329770729e-13 relative error = 9.586479522971932e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003247309215349632 y1[1] (numeric) = 0.003247309215357398 absolute error = 7.765923321079171e-15 relative error = 2.391494867310635e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.793999999999936 y2[1] (analytic) = 0.003328331322641358 y2[1] (numeric) = 0.003328331322329915 absolute error = 3.114422782168891e-13 relative error = 9.357309955840846e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003328331322641358 y1[1] (numeric) = 0.003328331322649162 absolute error = 7.804520918419655e-15 relative error = 2.344875002476016e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.794999999999936 y2[1] (analytic) = 0.003410350101518705 y2[1] (numeric) = 0.003410350101207123 absolute error = 3.115823571375742e-13 relative error = 9.136374502981955e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003410350101518705 y1[1] (numeric) = 0.003410350101526548 absolute error = 7.842684834891145e-15 relative error = 2.29967147108991e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.795999999999936 y2[1] (analytic) = 0.003493365469962903 y2[1] (numeric) = 0.00349336546965118 absolute error = 3.117233034199973e-13 relative error = 8.923294917187911e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003493365469962903 y1[1] (numeric) = 0.003493365469970783 absolute error = 7.879981389624646e-15 relative error = 2.255699112325721e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.796999999999937 y2[1] (analytic) = 0.00357737734495859 y2[1] (numeric) = 0.003577377344646725 absolute error = 3.118646833832894e-13 relative error = 8.717690456188079e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00357737734495859 y1[1] (numeric) = 0.003577377344966506 absolute error = 7.916844263489153e-15 relative error = 2.213030245368425e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.797999999999937 y2[1] (analytic) = 0.003662385642493896 y2[1] (numeric) = 0.003662385642181889 absolute error = 3.120069307083195e-13 relative error = 8.519226568829023e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003662385642493896 y1[1] (numeric) = 0.003662385642501849 absolute error = 7.952839775615672e-15 relative error = 2.171491631940812e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.798999999999937 y2[1] (analytic) = 0.003748390277560533 y2[1] (numeric) = 0.003748390277248383 absolute error = 3.121500453950876e-13 relative error = 8.327575900080394e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003748390277560533 y1[1] (numeric) = 0.003748390277568521 absolute error = 7.987967926004202e-15 relative error = 2.131039548849434e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.799999999999938 y2[1] (analytic) = 0.003835391164153872 y2[1] (numeric) = 0.003835391163841579 absolute error = 3.122935937627247e-13 relative error = 8.14241834526466e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003835391164153872 y1[1] (numeric) = 0.003835391164161896 absolute error = 8.023096076392733e-15 relative error = 2.091858622238525e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.800999999999938 y2[1] (analytic) = 0.003923388215273035 y2[1] (numeric) = 0.003923388214960596 absolute error = 3.124384431729688e-13 relative error = 7.963485284395333e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.003923388215273035 y1[1] (numeric) = 0.003923388215281091 absolute error = 8.056923184174281e-15 relative error = 2.053562569416442e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.801999999999938 y2[1] (analytic) = 0.004012381342920975 y2[1] (numeric) = 0.004012381342608392 absolute error = 3.125832925832128e-13 relative error = 7.790468200005515e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004012381342920975 y1[1] (numeric) = 0.004012381342929066 absolute error = 8.090750291955828e-15 relative error = 2.016445995650513e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.802999999999939 y2[1] (analytic) = 0.004102370458104575 y2[1] (numeric) = 0.004102370457791846 absolute error = 3.127290093551949e-13 relative error = 7.623129421122186e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004102370458104575 y1[1] (numeric) = 0.004102370458112698 absolute error = 8.122842676261399e-15 relative error = 1.980036361712299e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.803999999999939 y2[1] (analytic) = 0.004193355470834726 y2[1] (numeric) = 0.004193355470521851 absolute error = 3.128747261271769e-13 relative error = 7.461202092292365e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004193355470834726 y1[1] (numeric) = 0.004193355470842881 absolute error = 8.155802422304959e-15 relative error = 1.944934666051927e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.804999999999939 y2[1] (analytic) = 0.004285336290126423 y2[1] (numeric) = 0.004285336289813401 absolute error = 3.13022177622635e-13 relative error = 7.304495060139153e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004285336290126423 y1[1] (numeric) = 0.00428533629013461 absolute error = 8.187027444872541e-15 relative error = 1.910474905723446e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.80599999999994 y2[1] (analytic) = 0.004378312823998854 y2[1] (numeric) = 0.004378312823685684 absolute error = 3.13170496479831e-13 relative error = 7.152766580844771e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004378312823998854 y1[1] (numeric) = 0.004378312824007071 absolute error = 8.217385105702135e-15 relative error = 1.876838279042139e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.80699999999994 y2[1] (analytic) = 0.004472284979475493 y2[1] (numeric) = 0.004472284979162174 absolute error = 3.13318815337027e-13 relative error = 7.005788244151043e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004472284979475493 y1[1] (numeric) = 0.004472284979483741 absolute error = 8.247742766531729e-15 relative error = 1.844189894960365e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.80799999999994 y2[1] (analytic) = 0.004567252662584193 y2[1] (numeric) = 0.004567252662270724 absolute error = 3.13468868917699e-13 relative error = 6.863401087609973e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004567252662584193 y1[1] (numeric) = 0.00456725266259247 absolute error = 8.276365703885347e-15 relative error = 1.812110324372224e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.808999999999941 y2[1] (analytic) = 0.004663215778357278 y2[1] (numeric) = 0.00466321577804366 absolute error = 3.13618055136633e-13 relative error = 6.725360138644752e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004663215778357278 y1[1] (numeric) = 0.004663215778365583 absolute error = 8.304988641238964e-15 relative error = 1.780957398493917e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.809999999999941 y2[1] (analytic) = 0.004760174230831641 y2[1] (numeric) = 0.004760174230517872 absolute error = 3.13768976079043e-13 relative error = 6.591543940697838e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004760174230831641 y1[1] (numeric) = 0.004760174230839974 absolute error = 8.332744216854593e-15 relative error = 1.750512441936142e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.810999999999941 y2[1] (analytic) = 0.004858127923048836 y2[1] (numeric) = 0.004858127922734917 absolute error = 3.13919897021453e-13 relative error = 6.461746211582771e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004858127923048836 y1[1] (numeric) = 0.004858127923057197 absolute error = 8.360499792470222e-15 relative error = 1.720930351134802e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.811999999999942 y2[1] (analytic) = 0.004957076757055182 y2[1] (numeric) = 0.004957076756741109 absolute error = 3.140725526873389e-13 relative error = 6.335842031098948e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.004957076757055182 y1[1] (numeric) = 0.004957076757063568 absolute error = 8.386520644609874e-15 relative error = 1.691827876716599e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.812999999999942 y2[1] (analytic) = 0.00505702063390185 y2[1] (numeric) = 0.005057020633587625 absolute error = 3.142252083532249e-13 relative error = 6.213642994586277e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00505702063390185 y1[1] (numeric) = 0.005057020633910263 absolute error = 8.412541496749526e-15 relative error = 1.663537111229592e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.813999999999942 y2[1] (analytic) = 0.005157959453644973 y2[1] (numeric) = 0.005157959453330595 absolute error = 3.143787313808488e-13 relative error = 6.095021378244587e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005157959453644973 y1[1] (numeric) = 0.005157959453653411 absolute error = 8.43769498715119e-15 relative error = 1.635859115020481e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.814999999999943 y2[1] (analytic) = 0.00525989311534574 y2[1] (numeric) = 0.005259893115031208 absolute error = 3.145322544084728e-13 relative error = 5.979822165793157e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00525989311534574 y1[1] (numeric) = 0.005259893115354203 absolute error = 8.462848477552853e-15 relative error = 1.60893924875821e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.815999999999943 y2[1] (analytic) = 0.005362821517070497 y2[1] (numeric) = 0.00536282151675581 absolute error = 3.146866447978347e-13 relative error = 5.86793059952023e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005362821517070497 y1[1] (numeric) = 0.005362821517078984 absolute error = 8.487134606216529e-15 relative error = 1.58258755753869e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.816999999999943 y2[1] (analytic) = 0.005466744555890852 y2[1] (numeric) = 0.00546674455557601 absolute error = 3.148419025489346e-13 relative error = 5.759221037860046e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005466744555890852 y1[1] (numeric) = 0.005466744555899361 absolute error = 8.509686011404227e-15 relative error = 1.556627701258579e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.817999999999944 y2[1] (analytic) = 0.005571662127883773 y2[1] (numeric) = 0.005571662127568775 absolute error = 3.149980276617725e-13 relative error = 5.653573752890414e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005571662127883773 y1[1] (numeric) = 0.005571662127892305 absolute error = 8.532237416591926e-15 relative error = 1.531363033284403e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.818999999999944 y2[1] (analytic) = 0.005677574128131697 y2[1] (numeric) = 0.005677574127816543 absolute error = 3.151541527746105e-13 relative error = 5.550859322347893e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005677574128131697 y1[1] (numeric) = 0.005677574128140252 absolute error = 8.554788821779624e-15 relative error = 1.506768318425236e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.819999999999944 y2[1] (analytic) = 0.005784480450722635 y2[1] (numeric) = 0.005784480450407323 absolute error = 3.153120126109243e-13 relative error = 5.450999710294353e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005784480450722635 y1[1] (numeric) = 0.005784480450731211 absolute error = 8.575605503491346e-15 relative error = 1.482519575707102e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.820999999999945 y2[1] (analytic) = 0.005892380988750271 y2[1] (numeric) = 0.005892380988434801 absolute error = 3.154698724472382e-13 relative error = 5.353860740667195e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.005892380988750271 y1[1] (numeric) = 0.005892380988758867 absolute error = 8.596422185203068e-15 relative error = 1.458904677347807e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.821999999999945 y2[1] (analytic) = 0.006001275634314076 y2[1] (numeric) = 0.006001275633998448 absolute error = 3.156285996452901e-13 relative error = 5.259358491061297e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006001275634314076 y1[1] (numeric) = 0.006001275634322693 absolute error = 8.616371505176801e-15 relative error = 1.435756667450856e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.822999999999945 y2[1] (analytic) = 0.006111164278519416 y2[1] (numeric) = 0.006111164278203627 absolute error = 3.1578819420508e-13 relative error = 5.167398220909677e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006111164278519416 y1[1] (numeric) = 0.006111164278528051 absolute error = 8.635453463412546e-15 relative error = 1.413061909293773e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.823999999999946 y2[1] (analytic) = 0.006222046811477653 y2[1] (numeric) = 0.006222046811161704 absolute error = 3.159486561266078e-13 relative error = 5.07788941002156e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006222046811477653 y1[1] (numeric) = 0.006222046811486306 absolute error = 8.653668059910302e-15 relative error = 1.390807289322719e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.824999999999946 y2[1] (analytic) = 0.006333923122306263 y2[1] (numeric) = 0.006333923121990154 absolute error = 3.161091180481357e-13 relative error = 4.990731840980038e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006333923122306263 y1[1] (numeric) = 0.006333923122314935 absolute error = 8.671882656408059e-15 relative error = 1.369117131508618e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.825999999999946 y2[1] (analytic) = 0.006446793099128947 y2[1] (numeric) = 0.006446793098812677 absolute error = 3.162704473314015e-13 relative error = 4.905856950398084e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006446793099128947 y1[1] (numeric) = 0.006446793099137637 absolute error = 8.689229891167827e-15 relative error = 1.347837561646249e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.826999999999947 y2[1] (analytic) = 0.006560656629075737 y2[1] (numeric) = 0.006560656628759304 absolute error = 3.164326439764054e-13 relative error = 4.823185572218924e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006560656629075737 y1[1] (numeric) = 0.006560656629084442 absolute error = 8.705709764189606e-15 relative error = 1.326957080120205e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.827999999999947 y2[1] (analytic) = 0.006675513598283112 y2[1] (numeric) = 0.006675513597966516 absolute error = 3.165957079831472e-13 relative error = 4.74264194540137e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006675513598283112 y1[1] (numeric) = 0.006675513598291833 absolute error = 8.721322275473398e-15 relative error = 1.306464610860272e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.828999999999947 y2[1] (analytic) = 0.006791363891894111 y2[1] (numeric) = 0.006791363891577352 absolute error = 3.16759639351627e-13 relative error = 4.664153539610771e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006791363891894111 y1[1] (numeric) = 0.006791363891902847 absolute error = 8.736067425019201e-15 relative error = 1.286349482089482e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.829999999999948 y2[1] (analytic) = 0.006908207394058452 y2[1] (numeric) = 0.006908207393741529 absolute error = 3.169235707201068e-13 relative error = 4.587638335708964e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.006908207394058452 y1[1] (numeric) = 0.006908207394067203 absolute error = 8.750812574565003e-15 relative error = 1.266726963364088e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.830999999999948 y2[1] (analytic) = 0.007026043987932642 y2[1] (numeric) = 0.007026043987615554 absolute error = 3.170883694503246e-13 relative error = 4.513042759124901e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007026043987932642 y1[1] (numeric) = 0.007026043987941407 absolute error = 8.764690362372818e-15 relative error = 1.247457371093368e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.831999999999948 y2[1] (analytic) = 0.007144873555680098 y2[1] (numeric) = 0.007144873555362843 absolute error = 3.172549029040184e-13 relative error = 4.440315149479505e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007144873555680098 y1[1] (numeric) = 0.007144873555688875 absolute error = 8.776833426704655e-15 relative error = 1.228409902331605e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.832999999999949 y2[1] (analytic) = 0.00726469597847126 y2[1] (numeric) = 0.007264695978153839 absolute error = 3.174205689959742e-13 relative error = 4.369357918578312e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00726469597847126 y1[1] (numeric) = 0.007264695978480049 absolute error = 8.789843852774482e-15 relative error = 1.209939669715424e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.833999999999949 y2[1] (analytic) = 0.007385511136483716 y2[1] (numeric) = 0.007385511136166128 absolute error = 3.175879698114059e-13 relative error = 4.300148817629586e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007385511136483716 y1[1] (numeric) = 0.007385511136492518 absolute error = 8.801986917106319e-15 relative error = 1.191791164409102e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.834999999999949 y2[1] (analytic) = 0.007507318908902319 y2[1] (numeric) = 0.007507318908584562 absolute error = 3.177562379885757e-13 relative error = 4.232619419054842e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007507318908902319 y1[1] (numeric) = 0.007507318908911132 absolute error = 8.813262619700168e-15 relative error = 1.173956072286903e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.83599999999995 y2[1] (analytic) = 0.007630119173919305 y2[1] (numeric) = 0.007630119173601381 absolute error = 3.179245061657454e-13 relative error = 4.166704332121716e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007630119173919305 y1[1] (numeric) = 0.007630119173928129 absolute error = 8.823670960556029e-15 relative error = 1.156426362345222e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.83699999999995 y2[1] (analytic) = 0.007753911808734421 y2[1] (numeric) = 0.007753911808416327 absolute error = 3.180936417046532e-13 relative error = 4.102363420568383e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007753911808734421 y1[1] (numeric) = 0.007753911808743255 absolute error = 8.83407930141189e-15 relative error = 1.139306135963619e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.83799999999995 y2[1] (analytic) = 0.007878696689555043 y2[1] (numeric) = 0.007878696689236778 absolute error = 3.182645119670369e-13 relative error = 4.0395578673433e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.007878696689555043 y1[1] (numeric) = 0.007878696689563884 absolute error = 8.841885557053786e-15 relative error = 1.122252309671429e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.838999999999951 y2[1] (analytic) = 0.008004473691596297 y2[1] (numeric) = 0.008004473691277863 absolute error = 3.184345148676826e-13 relative error = 3.97820677706767e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.008004473691596297 y1[1] (numeric) = 0.008004473691605148 absolute error = 8.85055917443367e-15 relative error = 1.105701575823237e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.839999999999951 y2[1] (analytic) = 0.008131242689081195 y2[1] (numeric) = 0.008131242688762589 absolute error = 3.186062524918043e-13 relative error = 3.918297173931796e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.008131242689081195 y1[1] (numeric) = 0.008131242689090054 absolute error = 8.859232791813554e-15 relative error = 1.089529993208777e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.840999999999951 y2[1] (analytic) = 0.008259003555240748 y2[1] (numeric) = 0.00825900355492197 absolute error = 3.18777990115926e-13 relative error = 3.859763323550642e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.008259003555240748 y1[1] (numeric) = 0.008259003555249615 absolute error = 8.866171685717461e-15 relative error = 1.073515906176289e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.841999999999952 y2[1] (analytic) = 0.008387756162314103 y2[1] (numeric) = 0.008387756161995151 absolute error = 3.189514624635237e-13 relative error = 3.802583864997906e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.008387756162314103 y1[1] (numeric) = 0.008387756162322974 absolute error = 8.871375856145391e-15 relative error = 1.057657815090545e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.842999999999952 y2[1] (analytic) = 0.00851750038154866 y2[1] (numeric) = 0.008517500381229537 absolute error = 3.191232000876454e-13 relative error = 3.746676674989736e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00851750038154866 y1[1] (numeric) = 0.008517500381557538 absolute error = 8.878314750049299e-15 relative error = 1.042361532414165e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.843999999999952 y2[1] (analytic) = 0.008648236083200214 y2[1] (numeric) = 0.008648236082880916 absolute error = 3.19298407158719e-13 relative error = 3.692063954856388e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.008648236083200214 y1[1] (numeric) = 0.008648236083209096 absolute error = 8.881784197001252e-15 relative error = 1.0270052888883e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.844999999999953 y2[1] (analytic) = 0.008779963136533073 y2[1] (numeric) = 0.008779963136213599 absolute error = 3.194736142297927e-13 relative error = 3.638666919915368e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.008779963136533073 y1[1] (numeric) = 0.008779963136541958 absolute error = 8.885253643953206e-15 relative error = 1.011992135477428e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.845999999999953 y2[1] (analytic) = 0.008912681409820194 y2[1] (numeric) = 0.008912681409500545 absolute error = 3.196488213008664e-13 relative error = 3.586449538616628e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.008912681409820194 y1[1] (numeric) = 0.008912681409829083 absolute error = 8.88872309090516e-15 relative error = 9.973118842901042e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.846999999999953 y2[1] (analytic) = 0.009046390770343315 y2[1] (numeric) = 0.009046390770023491 absolute error = 3.1982402837194e-13 relative error = 3.535377107745729e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.009046390770343315 y1[1] (numeric) = 0.009046390770352207 absolute error = 8.892192537857113e-15 relative error = 9.829547234470892e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.847999999999954 y2[1] (analytic) = 0.009181091084393087 y2[1] (numeric) = 0.009181091084073086 absolute error = 3.200009701664897e-13 relative error = 3.485435088542564e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.009181091084393087 y1[1] (numeric) = 0.009181091084401981 absolute error = 8.89392726133309e-15 relative error = 9.687222552940199e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.848999999999954 y2[1] (analytic) = 0.009316782217269207 y2[1] (numeric) = 0.009316782216949029 absolute error = 3.201779119610393e-13 relative error = 3.436571817333785e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.009316782217269207 y1[1] (numeric) = 0.009316782217278103 absolute error = 8.895661984809067e-15 relative error = 9.547998200838516e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.849999999999954 y2[1] (analytic) = 0.009453464033280554 y2[1] (numeric) = 0.009453464032960197 absolute error = 3.203565884790649e-13 relative error = 3.388774605279736e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.009453464033280554 y1[1] (numeric) = 0.009453464033289451 absolute error = 8.897396708285044e-15 relative error = 9.411784587069991e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.850999999999955 y2[1] (analytic) = 0.00959113639574532 y2[1] (numeric) = 0.009591136395424787 absolute error = 3.205335302736145e-13 relative error = 3.341976560940213e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00959113639574532 y1[1] (numeric) = 0.009591136395754219 absolute error = 8.89913143176102e-15 relative error = 9.278495336286451e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.851999999999955 y2[1] (analytic) = 0.00972979916699116 y2[1] (numeric) = 0.009729799166670446 absolute error = 3.207139415151161e-13 relative error = 3.296203097420084e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.00972979916699116 y1[1] (numeric) = 0.009729799167000059 absolute error = 8.89913143176102e-15 relative error = 9.146264253790334e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.852999999999955 y2[1] (analytic) = 0.009869452208355311 y2[1] (numeric) = 0.009869452208034415 absolute error = 3.208960874800937e-13 relative error = 3.25140727879941e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.009869452208355311 y1[1] (numeric) = 0.009869452208364209 absolute error = 8.897396708285044e-15 relative error = 9.015086673962166e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.853999999999956 y2[1] (analytic) = 0.01001009538018474 y2[1] (numeric) = 0.01001009537986367 absolute error = 3.210747639981193e-13 relative error = 3.207509537158813e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01001009538018474 y1[1] (numeric) = 0.01001009538019364 absolute error = 8.897396708285044e-15 relative error = 8.888423506830599e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.854999999999956 y2[1] (analytic) = 0.0101517285418363 y2[1] (numeric) = 0.01015172854151504 absolute error = 3.212569099630969e-13 relative error = 3.164553786472568e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0101517285418363 y1[1] (numeric) = 0.01015172854184519 absolute error = 8.89392726133309e-15 relative error = 8.76099791742886e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.855999999999956 y2[1] (analytic) = 0.01029435155167682 y2[1] (numeric) = 0.01029435155135538 absolute error = 3.214390559280744e-13 relative error = 3.122479879519134e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01029435155167682 y1[1] (numeric) = 0.01029435155168571 absolute error = 8.892192537857113e-15 relative error = 8.637933621383551e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.856999999999957 y2[1] (analytic) = 0.01043796426708332 y2[1] (numeric) = 0.0104379642667617 absolute error = 3.21622936616528e-13 relative error = 3.081280299366258e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01043796426708332 y1[1] (numeric) = 0.01043796426709221 absolute error = 8.886988367429183e-15 relative error = 8.514101159988426e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.857999999999957 y2[1] (analytic) = 0.01058256654444309 y2[1] (numeric) = 0.01058256654412128 absolute error = 3.218068173049815e-13 relative error = 3.040914658589721e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01058256654444309 y1[1] (numeric) = 0.01058256654445197 absolute error = 8.883518920477229e-15 relative error = 8.394484346655937e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.858999999999957 y2[1] (analytic) = 0.01072815823915386 y2[1] (numeric) = 0.01072815823883187 absolute error = 3.21990697993435e-13 relative error = 3.001360446178792e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01072815823915386 y1[1] (numeric) = 0.01072815823916274 absolute error = 8.880049473525276e-15 relative error = 8.277328946469432e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.859999999999958 y2[1] (analytic) = 0.01087473920562395 y2[1] (numeric) = 0.01087473920530178 absolute error = 3.221763134053646e-13 relative error = 2.962611859590607e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01087473920562395 y1[1] (numeric) = 0.01087473920563283 absolute error = 8.874845303097345e-15 relative error = 8.16097299924917e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.860999999999958 y2[1] (analytic) = 0.01102230929727242 y2[1] (numeric) = 0.01102230929695005 absolute error = 3.223619288172941e-13 relative error = 2.924631491669952e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01102230929727242 y1[1] (numeric) = 0.01102230929728129 absolute error = 8.869641132669415e-15 relative error = 8.046989876127227e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.861999999999958 y2[1] (analytic) = 0.01117086836652917 y2[1] (numeric) = 0.01117086836620662 absolute error = 3.225492789526996e-13 relative error = 2.88741455336759e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01117086836652917 y1[1] (numeric) = 0.01117086836653803 absolute error = 8.860967515289531e-15 relative error = 7.932210124182733e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.862999999999959 y2[1] (analytic) = 0.01132041626483515 y2[1] (numeric) = 0.01132041626451242 absolute error = 3.227366290881051e-13 relative error = 2.850925456607357e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01132041626483515 y1[1] (numeric) = 0.01132041626484401 absolute error = 8.854028621385623e-15 relative error = 7.821292445657745e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.863999999999959 y2[1] (analytic) = 0.01147095284264248 y2[1] (numeric) = 0.01147095284231956 absolute error = 3.229239792235106e-13 relative error = 2.815145207668039e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01147095284264248 y1[1] (numeric) = 0.01147095284265133 absolute error = 8.845355004005739e-15 relative error = 7.711090024817937e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.864999999999959 y2[1] (analytic) = 0.01162247794941459 y2[1] (numeric) = 0.01162247794909148 absolute error = 3.23113064082392e-13 relative error = 2.780070355811402e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01162247794941459 y1[1] (numeric) = 0.01162247794942343 absolute error = 8.836681386625855e-15 relative error = 7.60309585020202e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.86599999999996 y2[1] (analytic) = 0.01177499143362639 y2[1] (numeric) = 0.01177499143330308 absolute error = 3.233021489412735e-13 relative error = 2.745667805906038e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01177499143362639 y1[1] (numeric) = 0.01177499143363521 absolute error = 8.828007769245971e-15 relative error = 7.497251967449778e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.86699999999996 y2[1] (analytic) = 0.0119284931427644 y2[1] (numeric) = 0.01192849314244091 absolute error = 3.23491233800155e-13 relative error = 2.711920356817062e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0119284931427644 y1[1] (numeric) = 0.01192849314277322 absolute error = 8.81759942839011e-15 relative error = 7.392048033945262e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.86799999999996 y2[1] (analytic) = 0.01208298292332693 y2[1] (numeric) = 0.01208298292300325 absolute error = 3.236820533825124e-13 relative error = 2.678825712462315e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01208298292332693 y1[1] (numeric) = 0.01208298292333573 absolute error = 8.805456364058273e-15 relative error = 7.287485565388666e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.868999999999961 y2[1] (analytic) = 0.01223846062082421 y2[1] (numeric) = 0.01223846062050033 absolute error = 3.238728729648699e-13 relative error = 2.646353025917229e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01223846062082421 y1[1] (numeric) = 0.012238460620833 absolute error = 8.795048023202412e-15 relative error = 7.186400557793439e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.869999999999961 y2[1] (analytic) = 0.01239492607977856 y2[1] (numeric) = 0.01239492607945449 absolute error = 3.240654272707033e-13 relative error = 2.614500685077849e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01239492607977856 y1[1] (numeric) = 0.01239492607978734 absolute error = 8.781170235394598e-15 relative error = 7.084487780625376e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.870999999999961 y2[1] (analytic) = 0.01255237914372452 y2[1] (numeric) = 0.01255237914340027 absolute error = 3.242562468530608e-13 relative error = 2.58322540404757e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01255237914372452 y1[1] (numeric) = 0.01255237914373329 absolute error = 8.76902717106276e-15 relative error = 6.985948297655409e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.871999999999962 y2[1] (analytic) = 0.01271081965520906 y2[1] (numeric) = 0.01271081965488461 absolute error = 3.244505358823702e-13 relative error = 2.552554002679175e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01271081965520906 y1[1] (numeric) = 0.01271081965521782 absolute error = 8.755149383254945e-15 relative error = 6.887950282314777e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.872999999999962 y2[1] (analytic) = 0.01287024745579167 y2[1] (numeric) = 0.01287024745546702 absolute error = 3.246430901882036e-13 relative error = 2.52243083362094e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01287024745579167 y1[1] (numeric) = 0.01287024745580041 absolute error = 8.741271595447131e-15 relative error = 6.791844232578077e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.873999999999962 y2[1] (analytic) = 0.01303066238604456 y2[1] (numeric) = 0.01303066238571972 absolute error = 3.24839113940989e-13 relative error = 2.492882589674656e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01303066238604456 y1[1] (numeric) = 0.01303066238605329 absolute error = 8.72565908416334e-15 relative error = 6.696251369008112e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.874999999999963 y2[1] (analytic) = 0.01319206428555282 y2[1] (numeric) = 0.01319206428522779 absolute error = 3.250351376937743e-13 relative error = 2.463868661174839e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01319206428555282 y1[1] (numeric) = 0.01319206428556153 absolute error = 8.710046572879548e-15 relative error = 6.602489484847555e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.875999999999963 y2[1] (analytic) = 0.01335445299291456 y2[1] (numeric) = 0.01335445299258933 absolute error = 3.252311614465597e-13 relative error = 2.435376137226413e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01335445299291456 y1[1] (numeric) = 0.01335445299292326 absolute error = 8.69269933811978e-15 relative error = 6.509214074684933e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.876999999999963 y2[1] (analytic) = 0.01351782834574109 y2[1] (numeric) = 0.01351782834541566 absolute error = 3.254271851993451e-13 relative error = 2.40739249586546e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01351782834574109 y1[1] (numeric) = 0.01351782834574977 absolute error = 8.677086826835989e-15 relative error = 6.41899468235945e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.877999999999964 y2[1] (analytic) = 0.01368219018065707 y2[1] (numeric) = 0.01368219018033144 absolute error = 3.256249436756065e-13 relative error = 2.37991826875753e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01368219018065707 y1[1] (numeric) = 0.01368219018066573 absolute error = 8.659739592076221e-15 relative error = 6.329205688369075e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.878999999999964 y2[1] (analytic) = 0.01384753833330067 y2[1] (numeric) = 0.01384753833297485 absolute error = 3.258227021518678e-13 relative error = 2.352928688908748e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01384753833330067 y1[1] (numeric) = 0.01384753833330931 absolute error = 8.640657633840476e-15 relative error = 6.23985103046175e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.879999999999964 y2[1] (analytic) = 0.01401387263832376 y2[1] (numeric) = 0.01401387263799774 absolute error = 3.260204606281292e-13 relative error = 2.32641232757147e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01401387263832376 y1[1] (numeric) = 0.01401387263833238 absolute error = 8.621575675604731e-15 relative error = 6.152172135507564e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.880999999999965 y2[1] (analytic) = 0.01418119292939205 y2[1] (numeric) = 0.01418119292906583 absolute error = 3.262199538278665e-13 relative error = 2.300370324641311e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01418119292939205 y1[1] (numeric) = 0.01418119292940065 absolute error = 8.602493717368986e-15 relative error = 6.066128399917184e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.881999999999965 y2[1] (analytic) = 0.01434949903918526 y2[1] (numeric) = 0.01434949903885884 absolute error = 3.264194470276038e-13 relative error = 2.274779392201956e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01434949903918526 y1[1] (numeric) = 0.01434949903919384 absolute error = 8.581677035657265e-15 relative error = 5.980471521843818e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.882999999999965 y2[1] (analytic) = 0.01451879079939729 y2[1] (numeric) = 0.01451879079907067 absolute error = 3.266189402273412e-13 relative error = 2.24962908233997e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01451879079939729 y1[1] (numeric) = 0.01451879079940585 absolute error = 8.560860353945543e-15 relative error = 5.896400376745512e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.883999999999966 y2[1] (analytic) = 0.0146890680407364 y2[1] (numeric) = 0.01468906804040957 absolute error = 3.268219028740305e-13 relative error = 2.224932868223314e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0146890680407364 y1[1] (numeric) = 0.01468906804074493 absolute error = 8.538308948757845e-15 relative error = 5.812696166345622e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.884999999999966 y2[1] (analytic) = 0.01486033059292536 y2[1] (numeric) = 0.01486033059259833 absolute error = 3.270231307972438e-13 relative error = 2.200645058010564e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01486033059292536 y1[1] (numeric) = 0.01486033059293387 absolute error = 8.515757543570146e-15 relative error = 5.730530347436747e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.885999999999966 y2[1] (analytic) = 0.01503257828470163 y2[1] (numeric) = 0.0150325782843744 absolute error = 3.272260934439331e-13 relative error = 2.176779573314744e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01503257828470163 y1[1] (numeric) = 0.01503257828471012 absolute error = 8.491471414906471e-15 relative error = 5.648712585483809e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.886999999999967 y2[1] (analytic) = 0.01520581094381754 y2[1] (numeric) = 0.01520581094349011 absolute error = 3.274290560906223e-13 relative error = 2.153315316758888e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01520581094381754 y1[1] (numeric) = 0.01520581094382601 absolute error = 8.467185286242795e-15 relative error = 5.568387846940468e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.887999999999967 y2[1] (analytic) = 0.01538002839704044 y2[1] (numeric) = 0.0153800283967128 absolute error = 3.276320187373116e-13 relative error = 2.130243262752086e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01538002839704044 y1[1] (numeric) = 0.01538002839704888 absolute error = 8.444633881055097e-15 relative error = 5.49064908272867e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.888999999999967 y2[1] (analytic) = 0.01555523047015289 y2[1] (numeric) = 0.01555523046982505 absolute error = 3.278367161074769e-13 relative error = 2.107565791047098e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01555523047015289 y1[1] (numeric) = 0.01555523047016131 absolute error = 8.418613028915445e-15 relative error = 5.412078622087238e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.889999999999968 y2[1] (analytic) = 0.01573141698795283 y2[1] (numeric) = 0.01573141698762479 absolute error = 3.280431482011181e-13 relative error = 2.085273999489904e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01573141698795283 y1[1] (numeric) = 0.01573141698796122 absolute error = 8.392592176775793e-15 relative error = 5.334924491037817e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.890999999999968 y2[1] (analytic) = 0.01590858777425377 y2[1] (numeric) = 0.01590858777392552 absolute error = 3.282513150182353e-13 relative error = 2.06335923512628e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01590858777425377 y1[1] (numeric) = 0.01590858777426213 absolute error = 8.364836601160164e-15 relative error = 5.25806358166983e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.891999999999968 y2[1] (analytic) = 0.01608674265188492 y2[1] (numeric) = 0.01608674265155646 absolute error = 3.284560123884006e-13 relative error = 2.041780735206296e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01608674265188492 y1[1] (numeric) = 0.01608674265189326 absolute error = 8.340550472496489e-15 relative error = 5.184735438979132e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.892999999999969 y2[1] (analytic) = 0.01626588144269143 y2[1] (numeric) = 0.01626588144236276 absolute error = 3.286641792055178e-13 relative error = 2.02057404859048e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01626588144269143 y1[1] (numeric) = 0.01626588144269974 absolute error = 8.31279489688086e-15 relative error = 5.110571429017736e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.893999999999969 y2[1] (analytic) = 0.01644600396753452 y2[1] (numeric) = 0.01644600396720565 absolute error = 3.28872346022635e-13 relative error = 1.999709757287244e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01644600396753452 y1[1] (numeric) = 0.0164460039675428 absolute error = 8.285039321265231e-15 relative error = 5.037721830555579e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.894999999999969 y2[1] (analytic) = 0.01662711004629168 y2[1] (numeric) = 0.0166271100459626 absolute error = 3.290805128397523e-13 relative error = 1.979180458441404e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01662711004629168 y1[1] (numeric) = 0.01662711004629993 absolute error = 8.257283745649602e-15 relative error = 4.966156910407419e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.89599999999997 y2[1] (analytic) = 0.01680919949785684 y2[1] (numeric) = 0.01680919949752755 absolute error = 3.292921491038214e-13 relative error = 1.958999589158341e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01680919949785684 y1[1] (numeric) = 0.01680919949786507 absolute error = 8.226058723082019e-15 relative error = 4.893783742724235e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.89699999999997 y2[1] (analytic) = 0.01699227214014058 y2[1] (numeric) = 0.01699227213981108 absolute error = 3.295003159209386e-13 relative error = 1.939118637010087e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01699227214014058 y1[1] (numeric) = 0.01699227214014877 absolute error = 8.194833700514437e-15 relative error = 4.822682707132444e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.89799999999997 y2[1] (analytic) = 0.01717632779007026 y2[1] (numeric) = 0.01717632778974055 absolute error = 3.297119521850078e-13 relative error = 1.919571844545353e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01717632779007026 y1[1] (numeric) = 0.01717632779007842 absolute error = 8.160139230994901e-15 relative error = 4.750805486905255e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.898999999999971 y2[1] (analytic) = 0.01736136626359025 y2[1] (numeric) = 0.01736136626326033 absolute error = 3.29923588449077e-13 relative error = 1.900331940700906e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01736136626359025 y1[1] (numeric) = 0.01736136626359838 absolute error = 8.128914208427318e-15 relative error = 4.682185770986837e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.899999999999971 y2[1] (analytic) = 0.01754738737566209 y2[1] (numeric) = 0.01754738737533195 absolute error = 3.301317552661942e-13 relative error = 1.881372697818714e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01754738737566209 y1[1] (numeric) = 0.01754738737567019 absolute error = 8.101158632811689e-15 relative error = 4.616732086309243e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.900999999999971 y2[1] (analytic) = 0.01773439094026468 y2[1] (numeric) = 0.01773439093993433 absolute error = 3.303468609772153e-13 relative error = 1.862747145306164e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01773439094026468 y1[1] (numeric) = 0.01773439094027275 absolute error = 8.066464163292153e-15 relative error = 4.548486717397109e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.901999999999972 y2[1] (analytic) = 0.01792237677039448 y2[1] (numeric) = 0.01792237677006392 absolute error = 3.305584972412845e-13 relative error = 1.844389845588593e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01792237677039448 y1[1] (numeric) = 0.01792237677040251 absolute error = 8.03523914072457e-15 relative error = 4.483355775667979e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.902999999999972 y2[1] (analytic) = 0.01811134467806567 y2[1] (numeric) = 0.01811134467773489 absolute error = 3.307736029523056e-13 relative error = 1.826333763902687e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01811134467806567 y1[1] (numeric) = 0.01811134467807367 absolute error = 8.000544671205034e-15 relative error = 4.417421684263098e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.903999999999972 y2[1] (analytic) = 0.01830129447431035 y2[1] (numeric) = 0.01830129447397937 absolute error = 3.309887086633267e-13 relative error = 1.808553537717989e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01830129447431035 y1[1] (numeric) = 0.01830129447431832 absolute error = 7.965850201685498e-15 relative error = 4.352615719542251e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.904999999999973 y2[1] (analytic) = 0.01849222596917876 y2[1] (numeric) = 0.01849222596884756 absolute error = 3.312038143743479e-13 relative error = 1.791043517023693e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01849222596917876 y1[1] (numeric) = 0.01849222596918669 absolute error = 7.931155732165962e-15 relative error = 4.288913484717808e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.905999999999973 y2[1] (analytic) = 0.0186841389717394 y2[1] (numeric) = 0.01868413897140798 absolute error = 3.314223895323209e-13 relative error = 1.773816765298161e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0186841389717394 y1[1] (numeric) = 0.0186841389717473 absolute error = 7.892991815694472e-15 relative error = 4.224434333116969e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.906999999999973 y2[1] (analytic) = 0.0188770332900793 y2[1] (numeric) = 0.01887703328974766 absolute error = 3.316374952433421e-13 relative error = 1.756830589569559e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0188770332900793 y1[1] (numeric) = 0.01887703329008716 absolute error = 7.858297346174936e-15 relative error = 4.162887899501037e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.907999999999974 y2[1] (analytic) = 0.01907090873130415 y2[1] (numeric) = 0.01907090873097229 absolute error = 3.318560704013152e-13 relative error = 1.740116714294723e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01907090873130415 y1[1] (numeric) = 0.01907090873131197 absolute error = 7.820133429703446e-15 relative error = 4.100556266029948e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.908999999999974 y2[1] (analytic) = 0.01926576510153852 y2[1] (numeric) = 0.01926576510120644 absolute error = 3.320746455592882e-13 relative error = 1.723651481314747e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01926576510153852 y1[1] (numeric) = 0.0192657651015463 absolute error = 7.781969513231957e-15 relative error = 4.039273536357249e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.909999999999974 y2[1] (analytic) = 0.01946160220592606 y2[1] (numeric) = 0.01946160220559377 absolute error = 3.322932207172613e-13 relative error = 1.707429928950444e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01946160220592606 y1[1] (numeric) = 0.0194616022059338 absolute error = 7.740336149808513e-15 relative error = 3.977234796964239e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.910999999999975 y2[1] (analytic) = 0.01965841984862969 y2[1] (numeric) = 0.01965841984829718 absolute error = 3.325117958752344e-13 relative error = 1.691447219235235e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01965841984862969 y1[1] (numeric) = 0.01965841984863739 absolute error = 7.702172233337023e-15 relative error = 3.918001697310332e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.911999999999975 y2[1] (analytic) = 0.01985621783283177 y2[1] (numeric) = 0.01985621783249904 absolute error = 3.327338404801594e-13 relative error = 1.675716107072476e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.01985621783283177 y1[1] (numeric) = 0.01985621783283943 absolute error = 7.66053886991358e-15 relative error = 3.858005051318014e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.912999999999975 y2[1] (analytic) = 0.02005499596073435 y2[1] (numeric) = 0.02005499596040139 absolute error = 3.329558850850844e-13 relative error = 1.660214171755399e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02005499596073435 y1[1] (numeric) = 0.02005499596074196 absolute error = 7.618905506490137e-15 relative error = 3.799006253308245e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.913999999999976 y2[1] (analytic) = 0.02025475403355929 y2[1] (numeric) = 0.02025475403322612 absolute error = 3.331744602430575e-13 relative error = 1.644919803474454e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02025475403355929 y1[1] (numeric) = 0.02025475403356687 absolute error = 7.580741590018647e-15 relative error = 3.74269743165403e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.914999999999976 y2[1] (analytic) = 0.02045549185154857 y2[1] (numeric) = 0.02045549185121517 absolute error = 3.333965048479826e-13 relative error = 1.629863057156179e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02045549185154857 y1[1] (numeric) = 0.02045549185155611 absolute error = 7.539108226595204e-15 relative error = 3.685615716947163e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.915999999999976 y2[1] (analytic) = 0.02065720921396436 y2[1] (numeric) = 0.02065720921363074 absolute error = 3.336185494529076e-13 relative error = 1.615022368207318e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02065720921396436 y1[1] (numeric) = 0.02065720921397186 absolute error = 7.49747486317176e-15 relative error = 3.629471331540485e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.916999999999977 y2[1] (analytic) = 0.02085990591908933 y2[1] (numeric) = 0.02085990591875548 absolute error = 3.338440635047846e-13 relative error = 1.600410207024362e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02085990591908933 y1[1] (numeric) = 0.02085990591909678 absolute error = 7.452372052796363e-15 relative error = 3.572581813984379e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.917999999999977 y2[1] (analytic) = 0.02106358176422678 y2[1] (numeric) = 0.02106358176389271 absolute error = 3.340695775566616e-13 relative error = 1.586005558295061e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02106358176422678 y1[1] (numeric) = 0.02106358176423419 absolute error = 7.407269242420966e-15 relative error = 3.516623775259848e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.918999999999977 y2[1] (analytic) = 0.02126823654570089 y2[1] (numeric) = 0.0212682365453666 absolute error = 3.342950916085385e-13 relative error = 1.571804464795235e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02126823654570089 y1[1] (numeric) = 0.02126823654570826 absolute error = 7.362166432045569e-15 relative error = 3.461578216052773e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.919999999999978 y2[1] (analytic) = 0.0214738700588569 y2[1] (numeric) = 0.02147387005852238 absolute error = 3.345206056604155e-13 relative error = 1.557803063646846e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0214738700588569 y1[1] (numeric) = 0.02147387005886422 absolute error = 7.317063621670172e-15 relative error = 3.407426608066043e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.920999999999978 y2[1] (analytic) = 0.02168048209806131 y2[1] (numeric) = 0.02168048209772656 absolute error = 3.347495891592445e-13 relative error = 1.544013586253131e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02168048209806131 y1[1] (numeric) = 0.02168048209806858 absolute error = 7.268491364342822e-15 relative error = 3.35255061740199e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.921999999999978 y2[1] (analytic) = 0.02188807245670209 y2[1] (numeric) = 0.02188807245636711 absolute error = 3.349785726580734e-13 relative error = 1.530416044266628e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02188807245670209 y1[1] (numeric) = 0.02188807245670931 absolute error = 7.219919107015471e-15 relative error = 3.298563234061639e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.922999999999979 y2[1] (analytic) = 0.0220966409271889 y2[1] (numeric) = 0.0220966409268537 absolute error = 3.352040867099504e-13 relative error = 1.51699114727206e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0220966409271889 y1[1] (numeric) = 0.02209664092719607 absolute error = 7.174816296640074e-15 relative error = 3.247016739006603e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.923999999999979 y2[1] (analytic) = 0.0223061873009533 y2[1] (numeric) = 0.02230618730061786 absolute error = 3.354365396557313e-13 relative error = 1.503782493754079e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0223061873009533 y1[1] (numeric) = 0.02230618730096042 absolute error = 7.12277459236077e-15 relative error = 3.193183351444541e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.924999999999979 y2[1] (analytic) = 0.02251671136844892 y2[1] (numeric) = 0.02251671136811325 absolute error = 3.356655231545602e-13 relative error = 1.490739556331946e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02251671136844892 y1[1] (numeric) = 0.02251671136845599 absolute error = 7.074202335033419e-15 relative error = 3.141756457804047e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.92599999999998 y2[1] (analytic) = 0.02272821291915171 y2[1] (numeric) = 0.02272821291881582 absolute error = 3.358945066533892e-13 relative error = 1.477874691900439e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02272821291915171 y1[1] (numeric) = 0.02272821291915874 absolute error = 7.025630077706069e-15 relative error = 3.091149358155646e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.92699999999998 y2[1] (analytic) = 0.02294069174156016 y2[1] (numeric) = 0.02294069174122403 absolute error = 3.3612695959917e-13 relative error = 1.465199756772071e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02294069174156016 y1[1] (numeric) = 0.02294069174156713 absolute error = 6.973588373426765e-15 relative error = 3.039833520274007e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.92799999999998 y2[1] (analytic) = 0.02315414762319543 y2[1] (numeric) = 0.02315414762285907 absolute error = 3.363594125449509e-13 relative error = 1.452696156294658e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02315414762319543 y1[1] (numeric) = 0.02315414762320235 absolute error = 6.92154666914746e-15 relative error = 2.989333393648044e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.928999999999981 y2[1] (analytic) = 0.02336858035060168 y2[1] (numeric) = 0.02336858035026509 absolute error = 3.365918654907318e-13 relative error = 1.440360776909862e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02336858035060168 y1[1] (numeric) = 0.02336858035060855 absolute error = 6.869504964868156e-15 relative error = 2.939632986601723e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.929999999999981 y2[1] (analytic) = 0.0235839897093462 y2[1] (numeric) = 0.02358398970900937 absolute error = 3.368243184365127e-13 relative error = 1.428190575842353e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0235839897093462 y1[1] (numeric) = 0.02358398970935301 absolute error = 6.817463260588852e-15 relative error = 2.890716687298728e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.930999999999981 y2[1] (analytic) = 0.02380037548401964 y2[1] (numeric) = 0.02380037548368258 absolute error = 3.370602408292456e-13 relative error = 1.416197156450574e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02380037548401964 y1[1] (numeric) = 0.0238003754840264 absolute error = 6.761952109357594e-15 relative error = 2.841111525277319e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.931999999999982 y2[1] (analytic) = 0.02401773745823624 y2[1] (numeric) = 0.02401773745789895 absolute error = 3.372926937750265e-13 relative error = 1.404348325322213e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02401773745823624 y1[1] (numeric) = 0.02401773745824295 absolute error = 6.70991040507829e-15 relative error = 2.793731264964472e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.932999999999982 y2[1] (analytic) = 0.02423607541463405 y2[1] (numeric) = 0.02423607541429653 absolute error = 3.375251467208074e-13 relative error = 1.392655951701674e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02423607541463405 y1[1] (numeric) = 0.02423607541464071 absolute error = 6.657868700798986e-15 relative error = 2.747090272205903e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.933999999999982 y2[1] (analytic) = 0.02445538913487514 y2[1] (numeric) = 0.02445538913453738 absolute error = 3.377610691135402e-13 relative error = 1.381131444078592e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02445538913487514 y1[1] (numeric) = 0.02445538913488174 absolute error = 6.602357549567728e-15 relative error = 2.699755670684582e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.934999999999983 y2[1] (analytic) = 0.0246756783996458 y2[1] (numeric) = 0.0246756783993078 absolute error = 3.37996991506273e-13 relative error = 1.369757645695061e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0246756783996458 y1[1] (numeric) = 0.02467567839965235 absolute error = 6.54684639833647e-15 relative error = 2.653157612246416e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.935999999999983 y2[1] (analytic) = 0.02489694298865678 y2[1] (numeric) = 0.02489694298831855 absolute error = 3.382329138990059e-13 relative error = 1.358531905114243e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02489694298865678 y1[1] (numeric) = 0.02489694298866327 absolute error = 6.491335247105212e-15 relative error = 2.607282046660391e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.936999999999983 y2[1] (analytic) = 0.02511918268064351 y2[1] (numeric) = 0.02511918268030505 absolute error = 3.384688362917387e-13 relative error = 1.34745162927836e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02511918268064351 y1[1] (numeric) = 0.02511918268064995 absolute error = 6.435824095873954e-15 relative error = 2.562115247815491e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.937999999999984 y2[1] (analytic) = 0.02534239725336633 y2[1] (numeric) = 0.02534239725302762 absolute error = 3.387082281314235e-13 relative error = 1.336527972255788e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02534239725336633 y1[1] (numeric) = 0.02534239725337271 absolute error = 6.376843497690743e-15 relative error = 2.516274776192959e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.938999999999984 y2[1] (analytic) = 0.02556658648361067 y2[1] (numeric) = 0.02556658648327172 absolute error = 3.389476199711083e-13 relative error = 1.325744522791062e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02556658648361067 y1[1] (numeric) = 0.02556658648361699 absolute error = 6.317862899507531e-15 relative error = 2.471140566049975e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.939999999999984 y2[1] (analytic) = 0.02579175014718733 y2[1] (numeric) = 0.02579175014684814 absolute error = 3.391870118107931e-13 relative error = 1.315098858647181e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02579175014718733 y1[1] (numeric) = 0.02579175014719359 absolute error = 6.25888230132432e-15 relative error = 2.426699338201705e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.940999999999985 y2[1] (analytic) = 0.02601788801893265 y2[1] (numeric) = 0.02601788801859322 absolute error = 3.394264036504779e-13 relative error = 1.304588609972818e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02601788801893265 y1[1] (numeric) = 0.02601788801893885 absolute error = 6.199901703141109e-15 relative error = 2.382938114972889e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.941999999999985 y2[1] (analytic) = 0.02624499987270879 y2[1] (numeric) = 0.02624499987236912 absolute error = 3.396692649371147e-13 relative error = 1.294224677403501e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02624499987270879 y1[1] (numeric) = 0.02624499987271493 absolute error = 6.137451658005944e-15 relative error = 2.338522266250058e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.942999999999985 y2[1] (analytic) = 0.02647308548140391 y2[1] (numeric) = 0.026473085481064 absolute error = 3.399086567767995e-13 relative error = 1.283978239013995e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02647308548140391 y1[1] (numeric) = 0.02647308548140999 absolute error = 6.078471059822732e-15 relative error = 2.296094674756582e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.943999999999986 y2[1] (analytic) = 0.02670214461693243 y2[1] (numeric) = 0.02670214461659228 absolute error = 3.401515180634362e-13 relative error = 1.273873402092724e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02670214461693243 y1[1] (numeric) = 0.02670214461693845 absolute error = 6.016021014687567e-15 relative error = 2.253010423317337e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.944999999999986 y2[1] (analytic) = 0.02693217705023522 y2[1] (numeric) = 0.02693217704989483 absolute error = 3.40394379350073e-13 relative error = 1.263894778038748e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02693217705023522 y1[1] (numeric) = 0.02693217705024117 absolute error = 5.953570969552402e-15 relative error = 2.210579173918064e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.945999999999986 y2[1] (analytic) = 0.02716318255127987 y2[1] (numeric) = 0.02716318255093923 absolute error = 3.406372406367097e-13 relative error = 1.254040243604149e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02716318255127987 y1[1] (numeric) = 0.02716318255128576 absolute error = 5.894590371369191e-15 relative error = 2.170066176980963e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.946999999999987 y2[1] (analytic) = 0.0273951608890609 y2[1] (numeric) = 0.02739516088872002 absolute error = 3.408835713702985e-13 relative error = 1.244320384723186e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0273951608890609 y1[1] (numeric) = 0.02739516088906673 absolute error = 5.828670879282072e-15 relative error = 2.127627905850155e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.947999999999987 y2[1] (analytic) = 0.02762811183159999 y2[1] (numeric) = 0.02762811183125887 absolute error = 3.411264326569352e-13 relative error = 1.234707730793125e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02762811183159999 y1[1] (numeric) = 0.02762811183160576 absolute error = 5.766220834146907e-15 relative error = 2.087084658297829e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.948999999999987 y2[1] (analytic) = 0.02786203514594623 y2[1] (numeric) = 0.02786203514560485 absolute error = 3.413762328374759e-13 relative error = 1.22523796646328e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02786203514594623 y1[1] (numeric) = 0.02786203514595193 absolute error = 5.700301342059788e-15 relative error = 2.045902717515289e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.949999999999988 y2[1] (analytic) = 0.0280969305981763 y2[1] (numeric) = 0.02809693059783468 absolute error = 3.416190941241126e-13 relative error = 1.215859123580874e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0280969305981763 y1[1] (numeric) = 0.02809693059818194 absolute error = 5.637851296924623e-15 relative error = 2.006571955333285e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.950999999999988 y2[1] (analytic) = 0.02833279795339478 y2[1] (numeric) = 0.02833279795305292 absolute error = 3.418654248577013e-13 relative error = 1.206606652191721e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02833279795339478 y1[1] (numeric) = 0.02833279795340036 absolute error = 5.571931804837504e-15 relative error = 1.966601326844914e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.951999999999988 y2[1] (analytic) = 0.02856963697573434 y2[1] (numeric) = 0.02856963697539223 absolute error = 3.4211175559129e-13 relative error = 1.197466232706643e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02856963697573434 y1[1] (numeric) = 0.02856963697573985 absolute error = 5.506012312750386e-15 relative error = 1.92722515775294e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.952999999999989 y2[1] (analytic) = 0.02880744742835598 y2[1] (numeric) = 0.02880744742801361 absolute error = 3.423615557718307e-13 relative error = 1.188448079696345e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02880744742835598 y1[1] (numeric) = 0.02880744742836141 absolute error = 5.436623373711313e-15 relative error = 1.887228428423649e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.953999999999989 y2[1] (analytic) = 0.02904622907344925 y2[1] (numeric) = 0.02904622907310664 absolute error = 3.426113559523714e-13 relative error = 1.179538159965651e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02904622907344925 y1[1] (numeric) = 0.02904622907345462 absolute error = 5.370703881624195e-15 relative error = 1.849019322970733e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.954999999999989 y2[1] (analytic) = 0.02928598167223253 y2[1] (numeric) = 0.02928598167188967 absolute error = 3.42861156132912e-13 relative error = 1.170734722059856e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02928598167223253 y1[1] (numeric) = 0.02928598167223783 absolute error = 5.301314942585122e-15 relative error = 1.810188574833248e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.95599999999999 y2[1] (analytic) = 0.02952670498495326 y2[1] (numeric) = 0.02952670498461014 absolute error = 3.431109563134527e-13 relative error = 1.162036050037758e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02952670498495326 y1[1] (numeric) = 0.02952670498495849 absolute error = 5.23192600354605e-15 relative error = 1.771930192079417e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.95699999999999 y2[1] (analytic) = 0.02976839877088812 y2[1] (numeric) = 0.02976839877054476 absolute error = 3.433607564939933e-13 relative error = 1.153440462608226e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.02976839877088812 y1[1] (numeric) = 0.02976839877089328 absolute error = 5.162537064506978e-15 relative error = 1.734234046056807e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.95799999999999 y2[1] (analytic) = 0.03001106278834336 y2[1] (numeric) = 0.03001106278799975 absolute error = 3.436140261214859e-13 relative error = 1.144957872851306e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03001106278834336 y1[1] (numeric) = 0.03001106278834845 absolute error = 5.089678678515952e-15 relative error = 1.69593416748068e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.958999999999991 y2[1] (analytic) = 0.03025469679465498 y2[1] (numeric) = 0.03025469679431111 absolute error = 3.438672957489786e-13 relative error = 1.13657491953358e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03025469679465498 y1[1] (numeric) = 0.03025469679466 absolute error = 5.02028973947688e-15 relative error = 1.659342274540263e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.959999999999991 y2[1] (analytic) = 0.030499300546189 y2[1] (numeric) = 0.03049930054584488 absolute error = 3.441205653764712e-13 relative error = 1.128290023750956e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.030499300546189 y1[1] (numeric) = 0.03049930054619394 absolute error = 4.947431353485854e-15 relative error = 1.622145841014723e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.960999999999991 y2[1] (analytic) = 0.03074487379834167 y2[1] (numeric) = 0.0307448737979973 absolute error = 3.443738350039638e-13 relative error = 1.120101637960013e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03074487379834167 y1[1] (numeric) = 0.03074487379834655 absolute error = 4.878042414446782e-15 relative error = 1.586619755358988e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.961999999999992 y2[1] (analytic) = 0.03099141630553979 y2[1] (numeric) = 0.03099141630519515 absolute error = 3.446305740784084e-13 relative error = 1.112019440095111e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03099141630553979 y1[1] (numeric) = 0.03099141630554459 absolute error = 4.801714581503802e-15 relative error = 1.549369197639891e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.962999999999992 y2[1] (analytic) = 0.03123892782124084 y2[1] (numeric) = 0.03123892782089595 absolute error = 3.44883843705901e-13 relative error = 1.104019464686615e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03123892782124084 y1[1] (numeric) = 0.03123892782124557 absolute error = 4.73232564246473e-15 relative error = 1.514880942631775e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.963999999999992 y2[1] (analytic) = 0.03148740809793334 y2[1] (numeric) = 0.0314874080975882 absolute error = 3.451405827803455e-13 relative error = 1.096122557013509e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03148740809793334 y1[1] (numeric) = 0.031487408097938 absolute error = 4.662936703425657e-15 relative error = 1.480889341200398e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.964999999999993 y2[1] (analytic) = 0.03173685688713704 y2[1] (numeric) = 0.03173685688679163 absolute error = 3.45404260748694e-13 relative error = 1.088337959795529e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03173685688713704 y1[1] (numeric) = 0.03173685688714162 absolute error = 4.579669976578771e-15 relative error = 1.443013085027621e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.965999999999993 y2[1] (analytic) = 0.03198727393940316 y2[1] (numeric) = 0.0319872739390575 absolute error = 3.456609998231386e-13 relative error = 1.080620375709291e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03198727393940316 y1[1] (numeric) = 0.03198727393940767 absolute error = 4.510281037539698e-15 relative error = 1.410023575651991e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.966999999999993 y2[1] (analytic) = 0.03223865900431467 y2[1] (numeric) = 0.03223865900396875 absolute error = 3.459177388975831e-13 relative error = 1.072990470389253e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03223865900431467 y1[1] (numeric) = 0.0322386590043191 absolute error = 4.433953204596719e-15 relative error = 1.375352865639759e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.967999999999994 y2[1] (analytic) = 0.03249101183048653 y2[1] (numeric) = 0.03249101183014036 absolute error = 3.461744779720277e-13 relative error = 1.065446898908854e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03249101183048653 y1[1] (numeric) = 0.03249101183049089 absolute error = 4.357625371653739e-15 relative error = 1.341178721791899e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.968999999999994 y2[1] (analytic) = 0.03274433216556594 y2[1] (numeric) = 0.03274433216521951 absolute error = 3.464381559403762e-13 relative error = 1.058009533340527e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03274433216556594 y1[1] (numeric) = 0.03274433216557023 absolute error = 4.28129753871076e-15 relative error = 1.307492703489304e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.969999999999994 y2[1] (analytic) = 0.03299861975623258 y2[1] (numeric) = 0.03299861975588589 absolute error = 3.466948950148208e-13 relative error = 1.050634534340907e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03299861975623258 y1[1] (numeric) = 0.03299861975623679 absolute error = 4.20496970576778e-15 relative error = 1.27428654193137e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.970999999999995 y2[1] (analytic) = 0.03325387434819888 y2[1] (numeric) = 0.03325387434785193 absolute error = 3.469516340892653e-13 relative error = 1.043341989135943e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03325387434819888 y1[1] (numeric) = 0.03325387434820301 absolute error = 4.128641872824801e-15 relative error = 1.241552136029052e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.971999999999995 y2[1] (analytic) = 0.03351009568621027 y2[1] (numeric) = 0.03351009568586306 absolute error = 3.472153120576138e-13 relative error = 1.036151359605029e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03351009568621027 y1[1] (numeric) = 0.03351009568621432 absolute error = 4.045375145977914e-15 relative error = 1.207210860828018e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.972999999999995 y2[1] (analytic) = 0.03376728351404543 y2[1] (numeric) = 0.03376728351369796 absolute error = 3.474720511320584e-13 relative error = 1.029019852862988e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03376728351404543 y1[1] (numeric) = 0.0337672835140494 absolute error = 3.969047313034935e-15 relative error = 1.175412085305594e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.973999999999996 y2[1] (analytic) = 0.03402543757451656 y2[1] (numeric) = 0.03402543757416883 absolute error = 3.477357291004068e-13 relative error = 1.021987530179022e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03402543757451656 y1[1] (numeric) = 0.03402543757452045 absolute error = 3.885780586188048e-15 relative error = 1.142022223131764e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.974999999999996 y2[1] (analytic) = 0.03428455760946963 y2[1] (numeric) = 0.03428455760912163 absolute error = 3.479994070687553e-13 relative error = 1.015032514150439e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03428455760946963 y1[1] (numeric) = 0.03428455760947343 absolute error = 3.802513859341161e-15 relative error = 1.109103959472086e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.975999999999996 y2[1] (analytic) = 0.0345446433597846 y2[1] (numeric) = 0.03454464335943634 absolute error = 3.482561461431999e-13 relative error = 1.00813356941072e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.0345446433597846 y1[1] (numeric) = 0.03454464335978832 absolute error = 3.726186026398182e-15 relative error = 1.078658125831471e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.976999999999997 y2[1] (analytic) = 0.03480569456537576 y2[1] (numeric) = 0.03480569456502724 absolute error = 3.485198241115484e-13 relative error = 1.001329892891295e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = 0.03480569456537576 y1[1] (numeric) = 0.0348056945653794 absolute error = 3.642919299551295e-15 relative error = 1.046644620956716e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.977999999999997 y2[1] (analytic) = 0.03506771096519192 y2[1] (numeric) = 0.03506771096484314 absolute error = 3.487835020798968e-13 relative error = 9.946001392166658e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03506771096519192 y1[1] (numeric) = 0.03506771096519548 absolute error = 3.559652572704408e-15 relative error = 1.015079819791405e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.978999999999997 y2[1] (analytic) = 0.03533069229721671 y2[1] (numeric) = 0.03533069229686766 absolute error = 3.490541189421492e-13 relative error = 9.879628624476375e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03533069229721671 y1[1] (numeric) = 0.03533069229722018 absolute error = 3.469446951953614e-15 relative error = 9.819923489659246e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.979999999999998 y2[1] (analytic) = 0.03559463829846881 y2[1] (numeric) = 0.03559463829811949 absolute error = 3.493177969104977e-13 relative error = 9.813775714797036e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03559463829846881 y1[1] (numeric) = 0.0355946382984722 absolute error = 3.386180225106727e-15 relative error = 9.513174980773417e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.980999999999998 y2[1] (analytic) = 0.03585954870500225 y2[1] (numeric) = 0.03585954870465266 absolute error = 3.495884137727501e-13 relative error = 9.748823574123342e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03585954870500225 y1[1] (numeric) = 0.03585954870500555 absolute error = 3.295974604355933e-15 relative error = 9.191344351459056e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.981999999999998 y2[1] (analytic) = 0.03612542325190664 y2[1] (numeric) = 0.03612542325155678 absolute error = 3.498590306350025e-13 relative error = 9.684565581291494e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03612542325190664 y1[1] (numeric) = 0.03612542325190984 absolute error = 3.20576898360514e-15 relative error = 8.87399702212747e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.982999999999999 y2[1] (analytic) = 0.03639226167330745 y2[1] (numeric) = 0.03639226167295732 absolute error = 3.501227086033509e-13 relative error = 9.620801030350765e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03639226167330745 y1[1] (numeric) = 0.03639226167331057 absolute error = 3.122502256758253e-15 relative error = 8.580126964322495e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.983999999999999 y2[1] (analytic) = 0.03666006370236629 y2[1] (numeric) = 0.0366600637020159 absolute error = 3.503933254656033e-13 relative error = 9.557902798815555e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03666006370236629 y1[1] (numeric) = 0.03666006370236932 absolute error = 3.032296636007459e-15 relative error = 8.271389435179114e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.984999999999999 y2[1] (analytic) = 0.03692882907128115 y2[1] (numeric) = 0.03692882907093049 absolute error = 3.506639423278557e-13 relative error = 9.495669132942002e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03692882907128115 y1[1] (numeric) = 0.03692882907128409 absolute error = 2.942091015256665e-15 relative error = 7.966922020673201e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.986 y2[1] (analytic) = 0.03719855751128668 y2[1] (numeric) = 0.03719855751093575 absolute error = 3.509276202962042e-13 relative error = 9.43390399452255e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03719855751128668 y1[1] (numeric) = 0.03719855751128954 absolute error = 2.858824288409778e-15 relative error = 7.68530953799045e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.987 y2[1] (analytic) = 0.03746924875265447 y2[1] (numeric) = 0.03746924875230327 absolute error = 3.511982371584565e-13 relative error = 9.372972473422656e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03746924875265447 y1[1] (numeric) = 0.03746924875265724 absolute error = 2.768618667658984e-15 relative error = 7.389042374282575e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.988 y2[1] (analytic) = 0.0377409025246933 y2[1] (numeric) = 0.03774090252434183 absolute error = 3.514688540207089e-13 relative error = 9.312677506605684e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0377409025246933 y1[1] (numeric) = 0.03774090252469597 absolute error = 2.67841304690819e-15 relative error = 7.096844186902381e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.989000000000001 y2[1] (analytic) = 0.03801351855574941 y2[1] (numeric) = 0.03801351855539767 absolute error = 3.517394708829613e-13 relative error = 9.253010093425355e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03801351855574941 y1[1] (numeric) = 0.038013518555752 absolute error = 2.588207426157396e-15 relative error = 6.80864998687668e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.990000000000001 y2[1] (analytic) = 0.0382870965732068 y2[1] (numeric) = 0.03828709657285479 absolute error = 3.520100877452137e-13 relative error = 9.19396139302841e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0382870965732068 y1[1] (numeric) = 0.0382870965732093 absolute error = 2.498001805406602e-15 relative error = 6.524396021072793e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.991000000000001 y2[1] (analytic) = 0.03856163630348748 y2[1] (numeric) = 0.03856163630313519 absolute error = 3.5228764350137e-13 relative error = 9.135702663880717e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03856163630348748 y1[1] (numeric) = 0.03856163630348988 absolute error = 2.400857290751901e-15 relative error = 6.22602545145308e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.992000000000002 y2[1] (analytic) = 0.03883713747205174 y2[1] (numeric) = 0.03883713747169917 absolute error = 3.525651992575263e-13 relative error = 9.078042878707057e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03883713747205174 y1[1] (numeric) = 0.03883713747205404 absolute error = 2.3037127760972e-15 relative error = 5.931726502127028e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.993000000000002 y2[1] (analytic) = 0.03911359980339842 y2[1] (numeric) = 0.03911359980304559 absolute error = 3.528358161197787e-13 relative error = 9.020796293189106e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03911359980339842 y1[1] (numeric) = 0.03911359980340064 absolute error = 2.213507155346406e-15 relative error = 5.659175239488141e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.994000000000002 y2[1] (analytic) = 0.03939102302106524 y2[1] (numeric) = 0.03939102302071212 absolute error = 3.531133718759349e-13 relative error = 8.964310769159247e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03939102302106524 y1[1] (numeric) = 0.03939102302106735 absolute error = 2.116362640691705e-15 relative error = 5.372702911422057e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.995000000000003 y2[1] (analytic) = 0.03966940684762897 y2[1] (numeric) = 0.03966940684727559 absolute error = 3.533839887381873e-13 relative error = 8.90822467034969e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03966940684762897 y1[1] (numeric) = 0.039669406847631 absolute error = 2.026157019940911e-15 relative error = 5.107606039393083e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.996000000000003 y2[1] (analytic) = 0.03994875100470584 y2[1] (numeric) = 0.03994875100435218 absolute error = 3.536615444943436e-13 relative error = 8.852881143960756e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.03994875100470584 y1[1] (numeric) = 0.03994875100470777 absolute error = 1.929012505286209e-15 relative error = 4.828717936786003e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.997000000000003 y2[1] (analytic) = 0.04022905521295169 y2[1] (numeric) = 0.04022905521259775 absolute error = 3.539391002504999e-13 relative error = 8.79809626094698e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04022905521295169 y1[1] (numeric) = 0.04022905521295353 absolute error = 1.838806884535416e-15 relative error = 4.570842826911367e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.998000000000004 y2[1] (analytic) = 0.04051031919206236 y2[1] (numeric) = 0.04051031919170814 absolute error = 3.542166560066562e-13 relative error = 8.743862380528018e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04051031919206236 y1[1] (numeric) = 0.0405103191920641 absolute error = 1.741662369880714e-15 relative error = 4.29930547232513e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.999000000000004 y2[1] (analytic) = 0.04079254266077387 y2[1] (numeric) = 0.04079254266041937 absolute error = 3.545011506567164e-13 relative error = 8.690342095238031e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04079254266077387 y1[1] (numeric) = 0.04079254266077551 absolute error = 1.637578961322106e-15 relative error = 4.014407669901887e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.000000000000004 y2[1] (analytic) = 0.04107572533686279 y2[1] (numeric) = 0.04107572533650802 absolute error = 3.547717675189688e-13 relative error = 8.637017718116452e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04107572533686279 y1[1] (numeric) = 0.04107572533686434 absolute error = 1.547373340571312e-15 relative error = 3.767123593999313e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.001000000000005 y2[1] (analytic) = 0.04135986693714647 y2[1] (numeric) = 0.04135986693679141 absolute error = 3.55056262169029e-13 relative error = 8.584560069030177e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04135986693714647 y1[1] (numeric) = 0.04135986693714791 absolute error = 1.443289932012704e-15 relative error = 3.489590365960399e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.002000000000005 y2[1] (analytic) = 0.04164496717748332 y2[1] (numeric) = 0.04164496717712798 absolute error = 3.553407568190892e-13 relative error = 8.532621848510316e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04164496717748332 y1[1] (numeric) = 0.04164496717748466 absolute error = 1.346145417358002e-15 relative error = 3.232432412831481e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.003000000000005 y2[1] (analytic) = 0.04193102577277313 y2[1] (numeric) = 0.04193102577241751 absolute error = 3.556183125752455e-13 relative error = 8.481030597781307e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04193102577277313 y1[1] (numeric) = 0.04193102577277438 absolute error = 1.249000902703301e-15 relative error = 2.978703429464654e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.004000000000006 y2[1] (analytic) = 0.04221804243695732 y2[1] (numeric) = 0.04221804243660143 absolute error = 3.558958683314017e-13 relative error = 8.429947192905692e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04221804243695732 y1[1] (numeric) = 0.04221804243695847 absolute error = 1.1518563880486e-15 relative error = 2.728351011936722e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.005000000000006 y2[1] (analytic) = 0.04250601688301927 y2[1] (numeric) = 0.04250601688266309 absolute error = 3.561803629814619e-13 relative error = 8.379528102143874e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04250601688301927 y1[1] (numeric) = 0.04250601688302032 absolute error = 1.047772979489991e-15 relative error = 2.464999207932293e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.006000000000006 y2[1] (analytic) = 0.04279494882298455 y2[1] (numeric) = 0.04279494882262808 absolute error = 3.564648576315221e-13 relative error = 8.329601213124246e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04279494882298455 y1[1] (numeric) = 0.04279494882298549 absolute error = 9.436895709313831e-16 relative error = 2.205142421912515e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.007000000000007 y2[1] (analytic) = 0.04308483796792123 y2[1] (numeric) = 0.04308483796756448 absolute error = 3.567493522815823e-13 relative error = 8.280160007731715e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04308483796792123 y1[1] (numeric) = 0.04308483796792208 absolute error = 8.465450562766819e-16 relative error = 1.964832865118295e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.008000000000007 y2[1] (analytic) = 0.0433756840279402 y2[1] (numeric) = 0.04337568402758317 absolute error = 3.570338469316425e-13 relative error = 8.231198076361428e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0433756840279402 y1[1] (numeric) = 0.04337568402794095 absolute error = 7.424616477180734e-16 relative error = 1.711700148036446e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.009000000000007 y2[1] (analytic) = 0.04366748671219543 y2[1] (numeric) = 0.04366748671183811 absolute error = 3.573183415817027e-13 relative error = 8.182709115748378e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04366748671219543 y1[1] (numeric) = 0.04366748671219607 absolute error = 6.38378239159465e-16 relative error = 1.461907444701137e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.010000000000008 y2[1] (analytic) = 0.04396024572888425 y2[1] (numeric) = 0.04396024572852665 absolute error = 3.576028362317629e-13 relative error = 8.134686926847603e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04396024572888425 y1[1] (numeric) = 0.04396024572888479 absolute error = 5.342948306008566e-16 relative error = 1.215404558691527e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.011000000000008 y2[1] (analytic) = 0.04425396078524768 y2[1] (numeric) = 0.04425396078488979 absolute error = 3.57894269775727e-13 relative error = 8.087282209890536e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04425396078524768 y1[1] (numeric) = 0.0442539607852481 absolute error = 4.232725281383409e-16 relative error = 9.564624739294326e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.012000000000008 y2[1] (analytic) = 0.04454863158757068 y2[1] (numeric) = 0.04454863158721249 absolute error = 3.581857033196911e-13 relative error = 8.040330096685326e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04454863158757068 y1[1] (numeric) = 0.044548631587571 absolute error = 3.191891195797325e-16 relative error = 7.164959016805986e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.013000000000009 y2[1] (analytic) = 0.04484425784118246 y2[1] (numeric) = 0.04484425784082399 absolute error = 3.584701979697513e-13 relative error = 7.993669986451472e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04484425784118246 y1[1] (numeric) = 0.04484425784118268 absolute error = 2.151057110211241e-16 relative error = 4.796728084628552e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.014000000000009 y2[1] (analytic) = 0.04514083925045681 y2[1] (numeric) = 0.04514083925009806 absolute error = 3.587546926198115e-13 relative error = 7.947452873645477e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04514083925045681 y1[1] (numeric) = 0.04514083925045692 absolute error = 1.110223024625157e-16 relative error = 2.459464739822979e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.015000000000009 y2[1] (analytic) = 0.04543837551881234 y2[1] (numeric) = 0.0454383755184533 absolute error = 3.590461261637756e-13 relative error = 7.901825759926733e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04543837551881234 y1[1] (numeric) = 0.04543837551881234 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.01600000000001 y2[1] (analytic) = 0.0457368663487128 y2[1] (numeric) = 0.04573686634835347 absolute error = 3.593306208138358e-13 relative error = 7.856476612852788e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0457368663487128 y1[1] (numeric) = 0.0457368663487127 absolute error = 1.040834085586084e-16 relative error = 2.275700476832902e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.01700000000001 y2[1] (analytic) = 0.04603631144166739 y2[1] (numeric) = 0.04603631144130778 absolute error = 3.59615115463896e-13 relative error = 7.811553623699073e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04603631144166739 y1[1] (numeric) = 0.04603631144166719 absolute error = 2.081668171172169e-16 relative error = 4.52179617780597e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.01800000000001 y2[1] (analytic) = 0.04633671049823105 y2[1] (numeric) = 0.04633671049787114 absolute error = 3.599065490078601e-13 relative error = 7.767201105516541e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04633671049823105 y1[1] (numeric) = 0.04633671049823073 absolute error = 3.191891195797325e-16 relative error = 6.888471713845934e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.019000000000011 y2[1] (analytic) = 0.04663806321800474 y2[1] (numeric) = 0.04663806321764453 absolute error = 3.602049214457281e-13 relative error = 7.723410806361918e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04663806321800474 y1[1] (numeric) = 0.04663806321800431 absolute error = 4.302114220422482e-16 relative error = 9.224470150727957e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.020000000000011 y2[1] (analytic) = 0.04694036929963576 y2[1] (numeric) = 0.04694036929927527 absolute error = 3.604894160957883e-13 relative error = 7.679731145587422e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04694036929963576 y1[1] (numeric) = 0.04694036929963522 absolute error = 5.342948306008566e-16 relative error = 1.138241642689851e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.021000000000011 y2[1] (analytic) = 0.04724362844081806 y2[1] (numeric) = 0.04724362844045728 absolute error = 3.607808496397524e-13 relative error = 7.63660331660811e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04724362844081806 y1[1] (numeric) = 0.04724362844081741 absolute error = 6.453171330633722e-16 relative error = 1.365934739478698e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.022000000000012 y2[1] (analytic) = 0.04754784033829253 y2[1] (numeric) = 0.04754784033793145 absolute error = 3.610792220776204e-13 relative error = 7.594019402534803e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04754784033829253 y1[1] (numeric) = 0.04754784033829176 absolute error = 7.632783294297951e-16 relative error = 1.605284959315157e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.023000000000012 y2[1] (analytic) = 0.04785300468784728 y2[1] (numeric) = 0.04785300468748591 absolute error = 3.613706556215845e-13 relative error = 7.551681612865536e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04785300468784728 y1[1] (numeric) = 0.04785300468784641 absolute error = 8.673617379884035e-16 relative error = 1.812554391613111e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.024000000000012 y2[1] (analytic) = 0.048159121184318 y2[1] (numeric) = 0.04815912118395634 absolute error = 3.616690280594526e-13 relative error = 7.509875993692809e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.048159121184318 y1[1] (numeric) = 0.04815912118431702 absolute error = 9.853229343548264e-16 relative error = 2.045973660075167e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.025000000000013 y2[1] (analytic) = 0.04846618952158822 y2[1] (numeric) = 0.04846618952122626 absolute error = 3.619674004973206e-13 relative error = 7.468451802593021e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04846618952158822 y1[1] (numeric) = 0.04846618952158713 absolute error = 1.096345236817342e-15 relative error = 2.26208259332828e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.026000000000013 y2[1] (analytic) = 0.04877420939258963 y2[1] (numeric) = 0.04877420939222736 absolute error = 3.622657729351886e-13 relative error = 7.427404307454103e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04877420939258963 y1[1] (numeric) = 0.04877420939258842 absolute error = 1.207367539279858e-15 relative error = 2.475422060789561e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.027000000000013 y2[1] (analytic) = 0.04908318048930237 y2[1] (numeric) = 0.04908318048893981 absolute error = 3.625572064791527e-13 relative error = 7.386587479965193e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04908318048930237 y1[1] (numeric) = 0.04908318048930105 absolute error = 1.318389841742373e-15 relative error = 2.686031810896434e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.028000000000014 y2[1] (analytic) = 0.04939310250275538 y2[1] (numeric) = 0.04939310250239252 absolute error = 3.628555789170207e-13 relative error = 7.346280361651284e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04939310250275538 y1[1] (numeric) = 0.04939310250275394 absolute error = 1.436351038108796e-15 relative error = 2.907999225253505e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.029000000000014 y2[1] (analytic) = 0.04970397512302667 y2[1] (numeric) = 0.04970397512266352 absolute error = 3.631539513548887e-13 relative error = 7.306336172429157e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.04970397512302667 y1[1] (numeric) = 0.04970397512302512 absolute error = 1.547373340571312e-15 relative error = 3.113178245283747e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.030000000000014 y2[1] (analytic) = 0.05001579803924365 y2[1] (numeric) = 0.0500157980388802 absolute error = 3.634523237927567e-13 relative error = 7.266750467673892e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05001579803924365 y1[1] (numeric) = 0.05001579803924198 absolute error = 1.665334536937735e-15 relative error = 3.329617045460459e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.031000000000015 y2[1] (analytic) = 0.05032857093958342 y2[1] (numeric) = 0.05032857093921967 absolute error = 3.637506962306247e-13 relative error = 7.227518871284597e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05032857093958342 y1[1] (numeric) = 0.05032857093958164 absolute error = 1.77635683940025e-15 relative error = 3.529519726543926e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.032000000000015 y2[1] (analytic) = 0.05064229351127312 y2[1] (numeric) = 0.05064229351090906 absolute error = 3.640560075623966e-13 relative error = 7.188774092179627e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05064229351127312 y1[1] (numeric) = 0.05064229351127122 absolute error = 1.894318035766673e-15 relative error = 3.740585002029959e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.033000000000015 y2[1] (analytic) = 0.05095696544059019 y2[1] (numeric) = 0.05095696544022583 absolute error = 3.643543800002647e-13 relative error = 7.150237005872316e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05095696544059019 y1[1] (numeric) = 0.05095696544058818 absolute error = 2.012279232133096e-15 relative error = 3.948977759437376e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.034000000000016 y2[1] (analytic) = 0.05127258641286274 y2[1] (numeric) = 0.05127258641249808 absolute error = 3.646596913320366e-13 relative error = 7.112176639494716e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05127258641286274 y1[1] (numeric) = 0.0512725864128606 absolute error = 2.137179322403426e-15 relative error = 4.168268995041905e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.035000000000016 y2[1] (analytic) = 0.05158915611246981 y2[1] (numeric) = 0.05158915611210485 absolute error = 3.649580637699046e-13 relative error = 7.074317381239139e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05158915611246981 y1[1] (numeric) = 0.05158915611246755 absolute error = 2.255140518769849e-15 relative error = 4.371346012819835e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.036000000000016 y2[1] (analytic) = 0.05190667422284174 y2[1] (numeric) = 0.05190667422247647 absolute error = 3.652633751016765e-13 relative error = 7.036925030749531e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05190667422284174 y1[1] (numeric) = 0.05190667422283936 absolute error = 2.380040609040179e-15 relative error = 4.585230405674562e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.037000000000017 y2[1] (analytic) = 0.05222514042646043 y2[1] (numeric) = 0.05222514042609487 absolute error = 3.655617475395445e-13 relative error = 6.999727421591167e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05222514042646043 y1[1] (numeric) = 0.05222514042645793 absolute error = 2.498001805406602e-15 relative error = 4.783140428170036e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.038000000000017 y2[1] (analytic) = 0.05254455440485972 y2[1] (numeric) = 0.05254455440449386 absolute error = 3.658670588713164e-13 relative error = 6.962987183263243e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05254455440485972 y1[1] (numeric) = 0.0525445544048571 absolute error = 2.622901895676932e-15 relative error = 4.991767320866929e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.039000000000017 y2[1] (analytic) = 0.05286491583862565 y2[1] (numeric) = 0.05286491583825948 absolute error = 3.661723702030883e-13 relative error = 6.926566786200105e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05286491583862565 y1[1] (numeric) = 0.05286491583862291 absolute error = 2.747801985947262e-15 relative error = 5.197779930900006e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.040000000000018 y2[1] (analytic) = 0.05318622440739681 y2[1] (numeric) = 0.05318622440703034 absolute error = 3.664776815348603e-13 relative error = 6.890462438689157e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05318622440739681 y1[1] (numeric) = 0.05318622440739395 absolute error = 2.865763182313685e-15 relative error = 5.38816810977681e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.041000000000018 y2[1] (analytic) = 0.05350847978986467 y2[1] (numeric) = 0.05350847978949789 absolute error = 3.667829928666322e-13 relative error = 6.854670405644873e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05350847978986467 y1[1] (numeric) = 0.05350847978986168 absolute error = 2.990663272584015e-15 relative error = 5.589138925883843e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.042000000000018 y2[1] (analytic) = 0.05383168166377387 y2[1] (numeric) = 0.05383168166340677 absolute error = 3.67095243092308e-13 relative error = 6.81931590740821e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05383168166377387 y1[1] (numeric) = 0.05383168166377075 absolute error = 3.115563362854346e-15 relative error = 5.787601773828608e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.043000000000019 y2[1] (analytic) = 0.05415582970592255 y2[1] (numeric) = 0.05415582970555515 absolute error = 3.674005544240799e-13 relative error = 6.784136747957543e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05415582970592255 y1[1] (numeric) = 0.05415582970591931 absolute error = 3.240463453124676e-15 relative error = 5.983591186250987e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.044000000000019 y2[1] (analytic) = 0.05448092359216271 y2[1] (numeric) = 0.054480923591795 absolute error = 3.677058657558518e-13 relative error = 6.74925903438149e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05448092359216271 y1[1] (numeric) = 0.05448092359215934 absolute error = 3.365363543395006e-15 relative error = 6.177141137671767e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.045000000000019 y2[1] (analytic) = 0.05480696299740048 y2[1] (numeric) = 0.05480696299703246 absolute error = 3.680111770876238e-13 relative error = 6.714679248056104e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05480696299740048 y1[1] (numeric) = 0.05480696299739699 absolute error = 3.483324739761429e-15 relative error = 6.355624448533382e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.04600000000002 y2[1] (analytic) = 0.05513394759559648 y2[1] (numeric) = 0.05513394759522817 absolute error = 3.683164884193957e-13 relative error = 6.680393922107128e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05513394759559648 y1[1] (numeric) = 0.05513394759559288 absolute error = 3.608224830031759e-15 relative error = 6.544470308017533e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.04700000000002 y2[1] (analytic) = 0.05546187705976616 y2[1] (numeric) = 0.05546187705939754 absolute error = 3.686287386450715e-13 relative error = 6.646524751548424e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05546187705976616 y1[1] (numeric) = 0.05546187705976242 absolute error = 3.740063814205996e-15 relative error = 6.743485818512189e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.04800000000002 y2[1] (analytic) = 0.05579075106198007 y2[1] (numeric) = 0.05579075106161113 absolute error = 3.689340499768434e-13 relative error = 6.612817410666879e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05579075106198007 y1[1] (numeric) = 0.0557907510619762 absolute error = 3.864963904476326e-15 relative error = 6.927606871939384e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.049000000000021 y2[1] (analytic) = 0.05612056927336423 y2[1] (numeric) = 0.05612056927299498 absolute error = 3.692463002025193e-13 relative error = 6.579518080151938e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05612056927336423 y1[1] (numeric) = 0.05612056927336023 absolute error = 3.996802888650564e-15 relative error = 7.121814586701838e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.050000000000021 y2[1] (analytic) = 0.05645133136410046 y2[1] (numeric) = 0.0564513313637309 absolute error = 3.695585504281951e-13 relative error = 6.546498399561421e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05645133136410046 y1[1] (numeric) = 0.05645133136409633 absolute error = 4.128641872824801e-15 relative error = 7.313630649728769e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.051000000000021 y2[1] (analytic) = 0.0567830370034267 y2[1] (numeric) = 0.05678303700305683 absolute error = 3.698708006538709e-13 relative error = 6.513755166557051e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0567830370034267 y1[1] (numeric) = 0.05678303700342244 absolute error = 4.260480856999038e-15 relative error = 7.503087333532248e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.052000000000022 y2[1] (analytic) = 0.05711568585963733 y2[1] (numeric) = 0.05711568585926715 absolute error = 3.701761119856428e-13 relative error = 6.48116373661968e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05711568585963733 y1[1] (numeric) = 0.05711568585963294 absolute error = 4.385380947269368e-15 relative error = 7.678067559315508e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.053000000000022 y2[1] (analytic) = 0.05744927760008353 y2[1] (numeric) = 0.05744927759971304 absolute error = 3.704953011052226e-13 relative error = 6.449085464299795e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05744927760008353 y1[1] (numeric) = 0.05744927760007901 absolute error = 4.524158825347513e-15 relative error = 7.875049111741895e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.054000000000022 y2[1] (analytic) = 0.05778381189117358 y2[1] (numeric) = 0.05778381189080278 absolute error = 3.708075513308984e-13 relative error = 6.417152818323134e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05778381189117358 y1[1] (numeric) = 0.05778381189116893 absolute error = 4.65599780952175e-15 relative error = 8.057616237382479e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.055000000000023 y2[1] (analytic) = 0.05811928839837323 y2[1] (numeric) = 0.05811928839800211 absolute error = 3.711198015565742e-13 relative error = 6.385484264927131e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05811928839837323 y1[1] (numeric) = 0.05811928839836844 absolute error = 4.787836793695988e-15 relative error = 8.237948064467355e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.056000000000023 y2[1] (analytic) = 0.05845570678620599 y2[1] (numeric) = 0.05845570678583455 absolute error = 3.714389906761539e-13 relative error = 6.354195528498917e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05845570678620599 y1[1] (numeric) = 0.05845570678620107 absolute error = 4.926614671774132e-15 relative error = 8.427944751044706e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.057000000000023 y2[1] (analytic) = 0.0587930667182535 y2[1] (numeric) = 0.05879306671788175 absolute error = 3.717512409018298e-13 relative error = 6.323045584325882e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0587930667182535 y1[1] (numeric) = 0.05879306671824844 absolute error = 5.058453655948369e-15 relative error = 8.60382684269448e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.058000000000024 y2[1] (analytic) = 0.05913136785715586 y2[1] (numeric) = 0.05913136785678379 absolute error = 3.720704300214095e-13 relative error = 6.292268274940352e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05913136785715586 y1[1] (numeric) = 0.05913136785715067 absolute error = 5.197231534026514e-15 relative error = 8.789296987990384e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.059000000000024 y2[1] (analytic) = 0.05947060986461196 y2[1] (numeric) = 0.05947060986423958 absolute error = 3.723826802470853e-13 relative error = 6.261625382602172e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05947060986461196 y1[1] (numeric) = 0.05947060986460663 absolute error = 5.329070518200751e-15 relative error = 8.960847266124675e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.060000000000024 y2[1] (analytic) = 0.05981079240137981 y2[1] (numeric) = 0.05981079240100712 absolute error = 3.726949304727611e-13 relative error = 6.231232115630075e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.05981079240137981 y1[1] (numeric) = 0.05981079240137435 absolute error = 5.460909502374989e-15 relative error = 9.130307897825155e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.061000000000025 y2[1] (analytic) = 0.06015191512727692 y2[1] (numeric) = 0.0601519151269039 absolute error = 3.730141195923409e-13 relative error = 6.201201055744794e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06015191512727692 y1[1] (numeric) = 0.06015191512727132 absolute error = 5.599687380453133e-15 relative error = 9.309242055892347e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.062000000000025 y2[1] (analytic) = 0.06049397770118058 y2[1] (numeric) = 0.06049397770080724 absolute error = 3.733402476058245e-13 relative error = 6.171527510556451e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06049397770118058 y1[1] (numeric) = 0.06049397770117484 absolute error = 5.745404152435185e-15 relative error = 9.497481188649064e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.063000000000025 y2[1] (analytic) = 0.06083697978102825 y2[1] (numeric) = 0.06083697978065459 absolute error = 3.736594367254042e-13 relative error = 6.14197874500549e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06083697978102825 y1[1] (numeric) = 0.06083697978102236 absolute error = 5.88418203051333e-15 relative error = 9.67204823726027e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.064000000000026 y2[1] (analytic) = 0.06118092102381787 y2[1] (numeric) = 0.06118092102344389 absolute error = 3.73978625844984e-13 relative error = 6.112667471929578e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06118092102381787 y1[1] (numeric) = 0.06118092102381185 absolute error = 6.022959908591474e-15 relative error = 9.844506764203047e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.065000000000026 y2[1] (analytic) = 0.06152580108560823 y2[1] (numeric) = 0.06152580108523394 absolute error = 3.742978149645637e-13 relative error = 6.083591084718397e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06152580108560823 y1[1] (numeric) = 0.06152580108560207 absolute error = 6.161737786669619e-15 relative error = 1.00148842891067e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.066000000000026 y2[1] (analytic) = 0.0618716196215193 y2[1] (numeric) = 0.06187161962114469 absolute error = 3.746170040841434e-13 relative error = 6.054747012859018e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0618716196215193 y1[1] (numeric) = 0.061871619621513 absolute error = 6.300515664747763e-15 relative error = 1.018320791226937e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.067000000000027 y2[1] (analytic) = 0.06221837628573258 y2[1] (numeric) = 0.06221837628535764 absolute error = 3.749431320976271e-13 relative error = 6.026244246165036e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06221837628573258 y1[1] (numeric) = 0.06221837628572614 absolute error = 6.446232436729815e-15 relative error = 1.036065680519537e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.068000000000027 y2[1] (analytic) = 0.06256607073149142 y2[1] (numeric) = 0.06256607073111616 absolute error = 3.752692601111107e-13 relative error = 5.997967520153478e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06256607073149142 y1[1] (numeric) = 0.06256607073148483 absolute error = 6.591949208711867e-15 relative error = 1.053598081458859e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.069000000000027 y2[1] (analytic) = 0.06291470261110141 y2[1] (numeric) = 0.06291470261072582 absolute error = 3.755884492306905e-13 relative error = 5.969804094161246e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06291470261110141 y1[1] (numeric) = 0.06291470261109468 absolute error = 6.730727086790012e-15 relative error = 1.06981783390046e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.070000000000028 y2[1] (analytic) = 0.0632642715759307 y2[1] (numeric) = 0.06326427157555478 absolute error = 3.75921516138078e-13 relative error = 5.942082423044918e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0632642715759307 y1[1] (numeric) = 0.06326427157592382 absolute error = 6.883382752675971e-15 relative error = 1.088036356257486e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.071000000000028 y2[1] (analytic) = 0.06361477727641035 y2[1] (numeric) = 0.06361477727603411 absolute error = 3.762407052576577e-13 relative error = 5.914360174883068e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06361477727641035 y1[1] (numeric) = 0.06361477727640333 absolute error = 7.022160630754115e-15 relative error = 1.103856828774605e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.072000000000028 y2[1] (analytic) = 0.0639662193620347 y2[1] (numeric) = 0.06396621936165812 absolute error = 3.765737721650453e-13 relative error = 5.887072519226449e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0639662193620347 y1[1] (numeric) = 0.06396621936202752 absolute error = 7.174816296640074e-15 relative error = 1.1216570821596e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.073000000000029 y2[1] (analytic) = 0.06431859748136168 y2[1] (numeric) = 0.06431859748098478 absolute error = 3.76892961284625e-13 relative error = 5.85978202329181e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06431859748136168 y1[1] (numeric) = 0.06431859748135436 absolute error = 7.313594174718219e-15 relative error = 1.137088565533097e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.074000000000029 y2[1] (analytic) = 0.0646719112820132 y2[1] (numeric) = 0.06467191128163599 absolute error = 3.772121504042047e-13 relative error = 5.832704537821761e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0646719112820132 y1[1] (numeric) = 0.06467191128200575 absolute error = 7.452372052796363e-15 relative error = 1.152335210923176e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.075000000000029 y2[1] (analytic) = 0.06502616041067551 y2[1] (numeric) = 0.06502616041029796 absolute error = 3.775452173115923e-13 relative error = 5.806051209654534e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06502616041067551 y1[1] (numeric) = 0.0650261604106679 absolute error = 7.605027718682322e-15 relative error = 1.169533564745703e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.07600000000003 y2[1] (analytic) = 0.06538134451309949 y2[1] (numeric) = 0.06538134451272161 absolute error = 3.778782842189798e-13 relative error = 5.779604060348897e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06538134451309949 y1[1] (numeric) = 0.06538134451309173 absolute error = 7.757683384568281e-15 relative error = 1.186528579725672e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.07700000000003 y2[1] (analytic) = 0.06573746323410107 y2[1] (numeric) = 0.06573746323372286 absolute error = 3.782113511263674e-13 relative error = 5.753360907455456e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06573746323410107 y1[1] (numeric) = 0.06573746323409316 absolute error = 7.91033905045424e-15 relative error = 1.203322833174186e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.07800000000003 y2[1] (analytic) = 0.06609451621756156 y2[1] (numeric) = 0.06609451621718301 absolute error = 3.785444180337549e-13 relative error = 5.727319597706266e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06609451621756156 y1[1] (numeric) = 0.0660945162175535 absolute error = 8.062994716340199e-15 relative error = 1.219918864342611e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.079000000000031 y2[1] (analytic) = 0.066452503106428 y2[1] (numeric) = 0.06645250310604914 absolute error = 3.788636071533347e-13 relative error = 5.701269168846206e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.066452503106428 y1[1] (numeric) = 0.0664525031064198 absolute error = 8.201772594418344e-15 relative error = 1.234230798090882e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.080000000000031 y2[1] (analytic) = 0.06681142354271355 y2[1] (numeric) = 0.06681142354233435 absolute error = 3.791966740607222e-13 relative error = 5.67562632187138e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06681142354271355 y1[1] (numeric) = 0.0668114235427052 absolute error = 8.354428260304303e-15 relative error = 1.250449072524729e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.081000000000031 y2[1] (analytic) = 0.06717127716749779 y2[1] (numeric) = 0.06717127716711827 absolute error = 3.795297409681098e-13 relative error = 5.650179019549044e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06717127716749779 y1[1] (numeric) = 0.06717127716748929 absolute error = 8.507083926190262e-15 relative error = 1.26647642934897e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.082000000000032 y2[1] (analytic) = 0.06753206362092713 y2[1] (numeric) = 0.06753206362054727 absolute error = 3.798628078754973e-13 relative error = 5.624925220821828e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06753206362092713 y1[1] (numeric) = 0.06753206362091847 absolute error = 8.659739592076221e-15 relative error = 1.282315262966835e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.083000000000032 y2[1] (analytic) = 0.06789378254221515 y2[1] (numeric) = 0.06789378254183495 absolute error = 3.801958747828849e-13 relative error = 5.599862911548429e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06789378254221515 y1[1] (numeric) = 0.06789378254220634 absolute error = 8.81239525796218e-15 relative error = 1.297967932849048e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.084000000000032 y2[1] (analytic) = 0.06825643356964294 y2[1] (numeric) = 0.06825643356926241 absolute error = 3.805289416902724e-13 relative error = 5.574990104075885e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06825643356964294 y1[1] (numeric) = 0.06825643356963398 absolute error = 8.951173136040325e-15 relative error = 1.311403580280433e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.085000000000033 y2[1] (analytic) = 0.06862001634055952 y2[1] (numeric) = 0.06862001634017866 absolute error = 3.8086200859766e-13 relative error = 5.550304836819782e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06862001634055952 y1[1] (numeric) = 0.06862001634055041 absolute error = 9.103828801926284e-15 relative error = 1.326701637135176e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.086000000000033 y2[1] (analytic) = 0.06898453049138215 y2[1] (numeric) = 0.06898453049100095 absolute error = 3.811950755050475e-13 relative error = 5.525805173852246e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06898453049138215 y1[1] (numeric) = 0.06898453049137289 absolute error = 9.256484467812243e-15 relative error = 1.341820318537734e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.087000000000033 y2[1] (analytic) = 0.06934997565759669 y2[1] (numeric) = 0.06934997565721517 absolute error = 3.81528142412435e-13 relative error = 5.501489204497535e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06934997565759669 y1[1] (numeric) = 0.06934997565758728 absolute error = 9.409140133698202e-15 relative error = 1.356761850956398e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.088000000000034 y2[1] (analytic) = 0.06971635147375803 y2[1] (numeric) = 0.06971635147337617 absolute error = 3.818612093198226e-13 relative error = 5.477355042935074e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.06971635147375803 y1[1] (numeric) = 0.06971635147374847 absolute error = 9.561795799584161e-15 relative error = 1.371528428762271e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.089000000000034 y2[1] (analytic) = 0.07008365757349037 y2[1] (numeric) = 0.07008365757310817 absolute error = 3.82208154015018e-13 relative error = 5.45359884526904e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07008365757349037 y1[1] (numeric) = 0.07008365757348066 absolute error = 9.71445146547012e-15 relative error = 1.386122214766468e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.090000000000034 y2[1] (analytic) = 0.07045189358948764 y2[1] (numeric) = 0.0704518935891051 absolute error = 3.825412209224055e-13 relative error = 5.429821704316628e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07045189358948764 y1[1] (numeric) = 0.07045189358947779 absolute error = 9.853229343548264e-15 relative error = 1.398575516076476e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.091000000000035 y2[1] (analytic) = 0.07082105915351386 y2[1] (numeric) = 0.07082105915313099 absolute error = 3.82874287829793e-13 relative error = 5.406220867155674e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07082105915351386 y1[1] (numeric) = 0.07082105915350385 absolute error = 1.000588500943422e-14 relative error = 1.412840351306405e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.092000000000035 y2[1] (analytic) = 0.0711911538964035 y2[1] (numeric) = 0.07119115389602029 absolute error = 3.832073547371806e-13 relative error = 5.382794543474029e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.0711911538964035 y1[1] (numeric) = 0.07119115389639334 absolute error = 1.015854067532018e-14 relative error = 1.426938617978122e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.093000000000035 y2[1] (analytic) = 0.07156217744806186 y2[1] (numeric) = 0.0715621774476783 absolute error = 3.83554299432376e-13 relative error = 5.359734892230615e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07156217744806186 y1[1] (numeric) = 0.07156217744805153 absolute error = 1.032507412901396e-14 relative error = 1.442811621615015e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.094000000000036 y2[1] (analytic) = 0.07193412943746537 y2[1] (numeric) = 0.07193412943708148 absolute error = 3.838873663397635e-13 relative error = 5.336651313386492e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07193412943746537 y1[1] (numeric) = 0.07193412943745491 absolute error = 1.04638520070921e-14 relative error = 1.454643586976146e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.095000000000036 y2[1] (analytic) = 0.07230700949266212 y2[1] (numeric) = 0.07230700949227789 absolute error = 3.842343110349589e-13 relative error = 5.313928950054999e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07230700949266212 y1[1] (numeric) = 0.07230700949265149 absolute error = 1.063038546078587e-14 relative error = 1.470173574508661e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.096000000000037 y2[1] (analytic) = 0.07268081724077208 y2[1] (numeric) = 0.0726808172403875 absolute error = 3.845812557301542e-13 relative error = 5.291372198748668e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07268081724077208 y1[1] (numeric) = 0.07268081724076128 absolute error = 1.079691891447965e-14 relative error = 1.48552524921567e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.097000000000037 y2[1] (analytic) = 0.07305555230798751 y2[1] (numeric) = 0.07305555230760259 absolute error = 3.849143226375418e-13 relative error = 5.268789441421516e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07305555230798751 y1[1] (numeric) = 0.07305555230797656 absolute error = 1.094957458036561e-14 relative error = 1.498801149870773e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.098000000000037 y2[1] (analytic) = 0.07343121431957339 y2[1] (numeric) = 0.07343121431918813 absolute error = 3.852612673327371e-13 relative error = 5.246559939157157e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07343121431957339 y1[1] (numeric) = 0.07343121431956227 absolute error = 1.111610803405938e-14 relative error = 1.51381236672486e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 5.099000000000038 y2[1] (analytic) = 0.07380780289986774 y2[1] (numeric) = 0.07380780289948213 absolute error = 3.856082120279325e-13 relative error = 5.224491136134653e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = 0.07380780289986774 y1[1] (numeric) = 0.07380780289985646 absolute error = 1.128264148775315e-14 relative error = 1.528651584854773e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 Finished! diff ( y2 , x , 4 ) = y1 - 1.0; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ; Iterations = 5000 Total Elapsed Time = 6 Seconds Elapsed Time(since restart) = 6 Seconds Time to Timeout = 2 Minutes 54 Seconds Percent Done = 100 %