##############ECHO OF PROBLEM################# ##############temp/mtest4postode.ode################# diff ( y2 , x , 3 ) = m1 * cos(x) ; diff ( y1 , x , 1 ) = m1 * y2; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=5.0; 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); 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_y2 (double x) { return(sin(x)); } double exact_soln_y2p (double x) { return( cos(x)); } double exact_soln_y2pp (double x) { return( -sin(x)); } double exact_soln_y1 (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 = 4.9 estimated_steps = 4900 step_error = 2.040816326530612e-14 est_needed_step_err = 2.040816326530612e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 2.475922558289144e-106 value3 = 2.467204025104945e-105 max_value3 = 2.467204025104945e-105 value3 = 2.467204025104945e-105 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y2[1] (analytic) = 0.09983341664682815 y2[1] (numeric) = 0.09983341664682815 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9950041652780258 y1[1] (numeric) = 0.9950041652780258 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) = 0.100828370729568 y2[1] (numeric) = 0.100828370729568 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9949038343759766 y1[1] (numeric) = 0.9949038343759767 absolute error = 1.110223024625157e-16 relative error = 1.115909886226854e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.102 y2[1] (analytic) = 0.1018232239839455 y2[1] (numeric) = 0.1018232239839455 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.994802508570176 y1[1] (numeric) = 0.9948025085701762 absolute error = 1.110223024625157e-16 relative error = 1.116023547448502e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.103 y2[1] (analytic) = 0.1028179754151075 y2[1] (numeric) = 0.1028179754151075 absolute error = 1.387778780781446e-17 relative error = 1.349743345148121e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9947001879619498 y1[1] (numeric) = 0.9947001879619499 absolute error = 1.110223024625157e-16 relative error = 1.116138348078432e-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) = 0.1038126240283027 y2[1] (numeric) = 0.1038126240283027 absolute error = 1.387778780781446e-17 relative error = 1.336811195913025e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9945968726536185 y1[1] (numeric) = 0.9945968726536186 absolute error = 1.110223024625157e-16 relative error = 1.116254288697936e-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) = 0.1048071688288825 y2[1] (numeric) = 0.1048071688288825 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9944925627484974 y1[1] (numeric) = 0.9944925627484975 absolute error = 1.110223024625157e-16 relative error = 1.116371369894223e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.106 y2[1] (analytic) = 0.1058016088223022 y2[1] (numeric) = 0.1058016088223022 absolute error = 1.387778780781446e-17 relative error = 1.311680225120463e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9943872583508965 y1[1] (numeric) = 0.9943872583508966 absolute error = 1.110223024625157e-16 relative error = 1.116489592260427e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.107 y2[1] (analytic) = 0.1067959430141219 y2[1] (numeric) = 0.1067959430141219 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9942809595661201 y1[1] (numeric) = 0.9942809595661202 absolute error = 1.110223024625157e-16 relative error = 1.116608956395615e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.108 y2[1] (analytic) = 0.1077901704100075 y2[1] (numeric) = 0.1077901704100075 absolute error = 1.387778780781446e-17 relative error = 1.287481757847375e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9941736665004669 y1[1] (numeric) = 0.994173666500467 absolute error = 1.110223024625157e-16 relative error = 1.116729462904794e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.109 y2[1] (analytic) = 0.1087842900157316 y2[1] (numeric) = 0.1087842900157316 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9940653792612301 y1[1] (numeric) = 0.9940653792612302 absolute error = 1.110223024625157e-16 relative error = 1.116851112398917e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.11 y2[1] (analytic) = 0.1097783008371748 y2[1] (numeric) = 0.1097783008371748 absolute error = 1.387778780781446e-17 relative error = 1.264164930772452e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9939560979566968 y1[1] (numeric) = 0.9939560979566969 absolute error = 1.110223024625157e-16 relative error = 1.116973905494893e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.111 y2[1] (analytic) = 0.1107722018803263 y2[1] (numeric) = 0.1107722018803263 absolute error = 1.387778780781446e-17 relative error = 1.252822239898006e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9938458226961485 y1[1] (numeric) = 0.9938458226961485 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) = 0.1117659921512852 y2[1] (numeric) = 0.1117659921512852 absolute error = 1.387778780781446e-17 relative error = 1.241682513678189e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9937345535898603 y1[1] (numeric) = 0.9937345535898603 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) = 0.1127596706562612 y2[1] (numeric) = 0.1127596706562612 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9936222907491012 y1[1] (numeric) = 0.9936222907491012 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) = 0.113753236401576 y2[1] (numeric) = 0.113753236401576 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9935090342861342 y1[1] (numeric) = 0.9935090342861342 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) = 0.1147466883936638 y2[1] (numeric) = 0.1147466883936638 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9933947843142158 y1[1] (numeric) = 0.9933947843142158 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) = 0.1157400256390728 y2[1] (numeric) = 0.1157400256390728 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9932795409475959 y1[1] (numeric) = 0.9932795409475959 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) = 0.1167332471444659 y2[1] (numeric) = 0.1167332471444659 absolute error = 1.387778780781446e-17 relative error = 1.188846206825695e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9931633043015177 y1[1] (numeric) = 0.9931633043015177 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) = 0.1177263519166215 y2[1] (numeric) = 0.1177263519166215 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.993046074492218 y1[1] (numeric) = 0.9930460744922179 absolute error = 1.110223024625157e-16 relative error = 1.117997495929739e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.119 y2[1] (analytic) = 0.118719338962435 y2[1] (numeric) = 0.118719338962435 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9929278516369265 y1[1] (numeric) = 0.9929278516369265 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] = 0.12 y2[1] (analytic) = 0.1197122072889194 y2[1] (numeric) = 0.1197122072889194 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9928086358538663 y1[1] (numeric) = 0.9928086358538663 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] = 0.121 y2[1] (analytic) = 0.1207049559032065 y2[1] (numeric) = 0.1207049559032065 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9926884272622528 y1[1] (numeric) = 0.9926884272622528 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] = 0.122 y2[1] (analytic) = 0.1216975838125478 y2[1] (numeric) = 0.1216975838125478 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9925672259822949 y1[1] (numeric) = 0.9925672259822949 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] = 0.123 y2[1] (analytic) = 0.1226900900243154 y2[1] (numeric) = 0.1226900900243154 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9924450321351935 y1[1] (numeric) = 0.9924450321351936 absolute error = 1.110223024625157e-16 relative error = 1.118674575091146e-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) = 0.1236824735460032 y2[1] (numeric) = 0.1236824735460031 absolute error = 1.387778780781446e-17 relative error = 1.122049665561764e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9923218458431429 y1[1] (numeric) = 0.992321845843143 absolute error = 1.110223024625157e-16 relative error = 1.118813446742006e-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) = 0.1246747333852277 y2[1] (numeric) = 0.1246747333852277 absolute error = 1.387778780781446e-17 relative error = 1.113119509542804e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.992197667229329 y1[1] (numeric) = 0.9921976672293291 absolute error = 1.110223024625157e-16 relative error = 1.118953471968351e-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) = 0.1256668685497293 y2[1] (numeric) = 0.1256668685497293 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9920724964179307 y1[1] (numeric) = 0.9920724964179307 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] = 0.127 y2[1] (analytic) = 0.1266588780473728 y2[1] (numeric) = 0.1266588780473727 absolute error = 2.775557561562891e-17 relative error = 2.191364398889418e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9919463335341185 y1[1] (numeric) = 0.9919463335341185 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] = 0.128 y2[1] (analytic) = 0.1276507608861488 y2[1] (numeric) = 0.1276507608861487 absolute error = 2.775557561562891e-17 relative error = 2.174336872177676e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9918191787040556 y1[1] (numeric) = 0.9918191787040556 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] = 0.129 y2[1] (analytic) = 0.1286425160741745 y2[1] (numeric) = 0.1286425160741745 absolute error = 2.775557561562891e-17 relative error = 2.157574063587594e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9916910320548965 y1[1] (numeric) = 0.9916910320548965 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] = 0.13 y2[1] (analytic) = 0.1296341426196949 y2[1] (numeric) = 0.1296341426196949 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9915618937147881 y1[1] (numeric) = 0.9915618937147881 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] = 0.131 y2[1] (analytic) = 0.1306256395310835 y2[1] (numeric) = 0.1306256395310835 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9914317638128685 y1[1] (numeric) = 0.9914317638128686 absolute error = 1.110223024625157e-16 relative error = 1.119817888782823e-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) = 0.1316170058168434 y2[1] (numeric) = 0.1316170058168434 absolute error = 2.775557561562891e-17 relative error = 2.108813784614827e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9913006424792677 y1[1] (numeric) = 0.9913006424792679 absolute error = 1.110223024625157e-16 relative error = 1.119966009351574e-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) = 0.1326082404856085 y2[1] (numeric) = 0.1326082404856085 absolute error = 2.775557561562891e-17 relative error = 2.093050591274615e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9911685298451072 y1[1] (numeric) = 0.9911685298451073 absolute error = 1.110223024625157e-16 relative error = 1.120115289373296e-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) = 0.1335993425461441 y2[1] (numeric) = 0.1335993425461441 absolute error = 2.775557561562891e-17 relative error = 2.077523368503282e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9910354260424993 y1[1] (numeric) = 0.9910354260424994 absolute error = 1.110223024625157e-16 relative error = 1.120265729610302e-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) = 0.1345903110073483 y2[1] (numeric) = 0.1345903110073484 absolute error = 2.775557561562891e-17 relative error = 2.062226872639704e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9909013312045479 y1[1] (numeric) = 0.990901331204548 absolute error = 1.110223024625157e-16 relative error = 1.120417330831073e-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) = 0.1355811448782528 y2[1] (numeric) = 0.1355811448782528 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.990766245465348 y1[1] (numeric) = 0.9907662454653481 absolute error = 1.110223024625157e-16 relative error = 1.120570093810273e-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) = 0.1365718431680236 y2[1] (numeric) = 0.1365718431680236 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9906301689599851 y1[1] (numeric) = 0.9906301689599852 absolute error = 1.110223024625157e-16 relative error = 1.120724019328753e-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) = 0.1375624048859627 y2[1] (numeric) = 0.1375624048859627 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9904931018245359 y1[1] (numeric) = 0.990493101824536 absolute error = 1.110223024625157e-16 relative error = 1.120879108173568e-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) = 0.1385528290415084 y2[1] (numeric) = 0.1385528290415084 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9903550441960673 y1[1] (numeric) = 0.9903550441960675 absolute error = 1.110223024625157e-16 relative error = 1.121035361137978e-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) = 0.1395431146442365 y2[1] (numeric) = 0.1395431146442365 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9902159962126371 y1[1] (numeric) = 0.9902159962126372 absolute error = 1.110223024625157e-16 relative error = 1.121192779021467e-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) = 0.1405332607038617 y2[1] (numeric) = 0.1405332607038617 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9900759580132933 y1[1] (numeric) = 0.9900759580132933 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] = 0.142 y2[1] (analytic) = 0.1415232662302378 y2[1] (numeric) = 0.1415232662302378 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9899349297380738 y1[1] (numeric) = 0.9899349297380738 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] = 0.143 y2[1] (analytic) = 0.1425131302333595 y2[1] (numeric) = 0.1425131302333595 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9897929115280072 y1[1] (numeric) = 0.9897929115280072 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] = 0.144 y2[1] (analytic) = 0.1435028517233629 y2[1] (numeric) = 0.1435028517233629 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9896499035251115 y1[1] (numeric) = 0.9896499035251115 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] = 0.145 y2[1] (analytic) = 0.1444924297105264 y2[1] (numeric) = 0.1444924297105264 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9895059058723947 y1[1] (numeric) = 0.9895059058723947 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] = 0.146 y2[1] (analytic) = 0.1454818632052724 y2[1] (numeric) = 0.1454818632052724 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9893609187138546 y1[1] (numeric) = 0.9893609187138546 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] = 0.147 y2[1] (analytic) = 0.1464711512181672 y2[1] (numeric) = 0.1464711512181672 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9892149421944781 y1[1] (numeric) = 0.9892149421944781 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] = 0.148 y2[1] (analytic) = 0.147460292759923 y2[1] (numeric) = 0.147460292759923 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.989067976460242 y1[1] (numeric) = 0.9890679764602419 absolute error = 1.110223024625157e-16 relative error = 1.12249415717463e-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) = 0.1484492868413984 y2[1] (numeric) = 0.1484492868413984 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9889200216581118 y1[1] (numeric) = 0.9889200216581117 absolute error = 1.110223024625157e-16 relative error = 1.122662096337839e-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) = 0.1494381324735993 y2[1] (numeric) = 0.1494381324735993 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9887710779360422 y1[1] (numeric) = 0.9887710779360421 absolute error = 1.110223024625157e-16 relative error = 1.122831208759294e-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) = 0.1504268286676801 y2[1] (numeric) = 0.1504268286676801 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9886211454429773 y1[1] (numeric) = 0.9886211454429771 absolute error = 2.220446049250313e-16 relative error = 2.246002990615161e-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) = 0.1514153744349448 y2[1] (numeric) = 0.1514153744349449 absolute error = 2.775557561562891e-17 relative error = 1.83307512326326e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9884702243288492 y1[1] (numeric) = 0.988470224328849 absolute error = 2.220446049250313e-16 relative error = 2.246345913715256e-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) = 0.1524037687868478 y2[1] (numeric) = 0.1524037687868478 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9883183147445792 y1[1] (numeric) = 0.988318314744579 absolute error = 2.220446049250313e-16 relative error = 2.246691188581449e-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) = 0.1533920107349946 y2[1] (numeric) = 0.1533920107349946 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9881654168420767 y1[1] (numeric) = 0.9881654168420766 absolute error = 1.110223024625157e-16 relative error = 1.123519408494526e-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) = 0.1543800992911435 y2[1] (numeric) = 0.1543800992911435 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9880115307742399 y1[1] (numeric) = 0.9880115307742396 absolute error = 2.220446049250313e-16 relative error = 2.247388800726136e-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) = 0.1553680334672059 y2[1] (numeric) = 0.1553680334672059 absolute error = 2.775557561562891e-17 relative error = 1.78644055641519e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9878566566949545 y1[1] (numeric) = 0.9878566566949543 absolute error = 2.220446049250313e-16 relative error = 2.247741141593558e-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) = 0.1563558122752478 y2[1] (numeric) = 0.1563558122752478 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9877007947590948 y1[1] (numeric) = 0.9877007947590946 absolute error = 2.220446049250313e-16 relative error = 2.248095841404978e-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) = 0.1573434347274905 y2[1] (numeric) = 0.1573434347274905 absolute error = 2.775557561562891e-17 relative error = 1.764012312537852e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9875439451225226 y1[1] (numeric) = 0.9875439451225224 absolute error = 2.220446049250313e-16 relative error = 2.248452901986885e-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) = 0.1583308998363116 y2[1] (numeric) = 0.1583308998363116 absolute error = 2.775557561562891e-17 relative error = 1.753010665910676e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9873861079420876 y1[1] (numeric) = 0.9873861079420874 absolute error = 2.220446049250313e-16 relative error = 2.248812325178619e-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) = 0.159318206614246 y2[1] (numeric) = 0.159318206614246 absolute error = 2.775557561562891e-17 relative error = 1.742147128409054e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9872272833756269 y1[1] (numeric) = 0.9872272833756267 absolute error = 2.220446049250313e-16 relative error = 2.249174112832397e-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) = 0.1603053540739871 y2[1] (numeric) = 0.1603053540739871 absolute error = 2.775557561562891e-17 relative error = 1.731419126701074e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9870674715819652 y1[1] (numeric) = 0.987067471581965 absolute error = 2.220446049250313e-16 relative error = 2.249538266813333e-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) = 0.1612923412283875 y2[1] (numeric) = 0.1612923412283875 absolute error = 2.775557561562891e-17 relative error = 1.720824150994711e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.986906672720914 y1[1] (numeric) = 0.9869066727209138 absolute error = 2.220446049250313e-16 relative error = 2.249904788999466e-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) = 0.1622791670904601 y2[1] (numeric) = 0.16227916709046 absolute error = 2.775557561562891e-17 relative error = 1.710359753088762e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9867448869532726 y1[1] (numeric) = 0.9867448869532722 absolute error = 3.33066907387547e-16 relative error = 3.375410521922668e-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) = 0.1632658306733791 y2[1] (numeric) = 0.163265830673379 absolute error = 2.775557561562891e-17 relative error = 1.700023544495066e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9865821144408262 y1[1] (numeric) = 0.9865821144408259 absolute error = 3.33066907387547e-16 relative error = 3.37596741834634e-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) = 0.164252330990481 y2[1] (numeric) = 0.164252330990481 absolute error = 2.775557561562891e-17 relative error = 1.689813194629027e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9864183553463477 y1[1] (numeric) = 0.9864183553463474 absolute error = 3.33066907387547e-16 relative error = 3.37652787564564e-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) = 0.1652386670552657 y2[1] (numeric) = 0.1652386670552657 absolute error = 2.775557561562891e-17 relative error = 1.679726429065528e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.986253609833596 y1[1] (numeric) = 0.9862536098335957 absolute error = 3.33066907387547e-16 relative error = 3.377091896715522e-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) = 0.166224837881397 y2[1] (numeric) = 0.166224837881397 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9860878780673167 y1[1] (numeric) = 0.9860878780673163 absolute error = 3.33066907387547e-16 relative error = 3.377659484470508e-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) = 0.1672108424827044 y2[1] (numeric) = 0.1672108424827043 absolute error = 2.775557561562891e-17 relative error = 1.659914823914594e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9859211602132415 y1[1] (numeric) = 0.9859211602132412 absolute error = 3.33066907387547e-16 relative error = 3.37823064184472e-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) = 0.1681966798731832 y2[1] (numeric) = 0.1681966798731831 absolute error = 2.775557561562891e-17 relative error = 1.650185701439294e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9857534564380882 y1[1] (numeric) = 0.9857534564380879 absolute error = 3.33066907387547e-16 relative error = 3.378805371791925e-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) = 0.1691823490669961 y2[1] (numeric) = 0.1691823490669961 absolute error = 2.775557561562891e-17 relative error = 1.640571594418383e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9855847669095607 y1[1] (numeric) = 0.9855847669095603 absolute error = 3.33066907387547e-16 relative error = 3.379383677285567e-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) = 0.170167849078474 y2[1] (numeric) = 0.170167849078474 absolute error = 2.775557561562891e-17 relative error = 1.631070485167221e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9854150917963483 y1[1] (numeric) = 0.985415091796348 absolute error = 3.33066907387547e-16 relative error = 3.379965561318809e-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) = 0.1711531789221171 y2[1] (numeric) = 0.1711531789221171 absolute error = 2.775557561562891e-17 relative error = 1.621680402924858e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9852444312681263 y1[1] (numeric) = 0.985244431268126 absolute error = 3.33066907387547e-16 relative error = 3.380551026904566e-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) = 0.1721383376125955 y2[1] (numeric) = 0.1721383376125955 absolute error = 2.775557561562891e-17 relative error = 1.612399422497851e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9850727854955552 y1[1] (numeric) = 0.9850727854955549 absolute error = 3.33066907387547e-16 relative error = 3.381140077075552e-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) = 0.1731233241647506 y2[1] (numeric) = 0.1731233241647506 absolute error = 2.775557561562891e-17 relative error = 1.603225662950861e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9849001546502806 y1[1] (numeric) = 0.9849001546502804 absolute error = 2.220446049250313e-16 relative error = 2.25448847658954e-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) = 0.174108137593596 y2[1] (numeric) = 0.174108137593596 absolute error = 2.775557561562891e-17 relative error = 1.594157286342129e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9847265389049334 y1[1] (numeric) = 0.9847265389049332 absolute error = 2.220446049250313e-16 relative error = 2.254885962268838e-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) = 0.1750927769143183 y2[1] (numeric) = 0.1750927769143183 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.9845519384331295 y1[1] (numeric) = 0.9845519384331293 absolute error = 2.220446049250313e-16 relative error = 2.255285843816481e-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) = 0.1760772411422783 y2[1] (numeric) = 0.1760772411422783 absolute error = 2.775557561562891e-17 relative error = 1.576329537853286e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9843763534094691 y1[1] (numeric) = 0.9843763534094689 absolute error = 1.110223024625157e-16 relative error = 1.127844061653662e-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) = 0.1770615292930118 y2[1] (numeric) = 0.1770615292930118 absolute error = 2.775557561562891e-17 relative error = 1.567566694270292e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9841997840095373 y1[1] (numeric) = 0.9841997840095372 absolute error = 1.110223024625157e-16 relative error = 1.128046401414774e-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) = 0.1780456403822308 y2[1] (numeric) = 0.1780456403822308 absolute error = 2.775557561562891e-17 relative error = 1.558902287977558e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9840222304099036 y1[1] (numeric) = 0.9840222304099034 absolute error = 1.110223024625157e-16 relative error = 1.128249942242344e-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) = 0.1790295734258243 y2[1] (numeric) = 0.1790295734258242 absolute error = 5.551115123125783e-17 relative error = 3.100669356968404e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9838436927881214 y1[1] (numeric) = 0.9838436927881212 absolute error = 2.220446049250313e-16 relative error = 2.256909370387664e-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) = 0.1800133274398592 y2[1] (numeric) = 0.1800133274398591 absolute error = 5.551115123125783e-17 relative error = 3.083724523108079e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9836641713227284 y1[1] (numeric) = 0.9836641713227282 absolute error = 2.220446049250313e-16 relative error = 2.2573212626668e-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) = 0.1809969014405817 y2[1] (numeric) = 0.1809969014405816 absolute error = 5.551115123125783e-17 relative error = 3.066966936419143e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9834836661932461 y1[1] (numeric) = 0.9834836661932459 absolute error = 2.220446049250313e-16 relative error = 2.257735563463862e-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) = 0.1819802944444178 y2[1] (numeric) = 0.1819802944444177 absolute error = 5.551115123125783e-17 relative error = 3.050393527537268e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9833021775801796 y1[1] (numeric) = 0.9833021775801793 absolute error = 2.220446049250313e-16 relative error = 2.258152274934076e-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) = 0.1829635054679747 y2[1] (numeric) = 0.1829635054679746 absolute error = 5.551115123125783e-17 relative error = 3.034001293824922e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9831197056650174 y1[1] (numeric) = 0.9831197056650172 absolute error = 2.220446049250313e-16 relative error = 2.258571399246162e-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) = 0.1839465335280413 y2[1] (numeric) = 0.1839465335280412 absolute error = 5.551115123125783e-17 relative error = 3.01778729756794e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9829362506302315 y1[1] (numeric) = 0.9829362506302313 absolute error = 2.220446049250313e-16 relative error = 2.258992938582359e-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) = 0.1849293776415897 y2[1] (numeric) = 0.1849293776415897 absolute error = 5.551115123125783e-17 relative error = 3.001748664230276e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9827518126592768 y1[1] (numeric) = 0.9827518126592766 absolute error = 2.220446049250313e-16 relative error = 2.259416895138456e-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) = 0.1859120368257759 y2[1] (numeric) = 0.1859120368257759 absolute error = 5.551115123125783e-17 relative error = 2.985882580764746e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9825663919365913 y1[1] (numeric) = 0.9825663919365911 absolute error = 2.220446049250313e-16 relative error = 2.259843271123817e-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) = 0.1868945100979408 y2[1] (numeric) = 0.1868945100979407 absolute error = 5.551115123125783e-17 relative error = 2.970186293977688e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9823799886475959 y1[1] (numeric) = 0.9823799886475957 absolute error = 2.220446049250313e-16 relative error = 2.260272068761411e-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) = 0.1878767964756111 y2[1] (numeric) = 0.1878767964756111 absolute error = 8.326672684688674e-17 relative error = 4.431985663418305e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9821926029786937 y1[1] (numeric) = 0.9821926029786935 absolute error = 2.220446049250313e-16 relative error = 2.260703290287842e-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) = 0.1888588949765007 y2[1] (numeric) = 0.1888588949765006 absolute error = 8.326672684688674e-17 relative error = 4.408938581222105e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9820042351172703 y1[1] (numeric) = 0.9820042351172701 absolute error = 2.220446049250313e-16 relative error = 2.261136937953377e-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) = 0.1898408046185109 y2[1] (numeric) = 0.1898408046185109 absolute error = 8.326672684688674e-17 relative error = 4.386134319974727e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9818148852516937 y1[1] (numeric) = 0.9818148852516935 absolute error = 2.220446049250313e-16 relative error = 2.261573014021976e-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) = 0.1908225244197324 y2[1] (numeric) = 0.1908225244197324 absolute error = 8.326672684688674e-17 relative error = 4.36356908599184e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9816245535713135 y1[1] (numeric) = 0.9816245535713134 absolute error = 1.110223024625157e-16 relative error = 1.131005760385659e-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) = 0.1918040533984454 y2[1] (numeric) = 0.1918040533984453 absolute error = 8.326672684688674e-17 relative error = 4.34123916421683e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9814332402664617 y1[1] (numeric) = 0.9814332402664615 absolute error = 2.220446049250313e-16 relative error = 2.262452460492836e-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) = 0.192785390573121 y2[1] (numeric) = 0.1927853905731209 absolute error = 8.326672684688674e-17 relative error = 4.319140916194309e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9812409455284513 y1[1] (numeric) = 0.9812409455284512 absolute error = 1.110223024625157e-16 relative error = 1.131447917745872e-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) = 0.193766534962422 y2[1] (numeric) = 0.1937665349624219 absolute error = 8.326672684688674e-17 relative error = 4.297270778105983e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9810476695495772 y1[1] (numeric) = 0.9810476695495771 absolute error = 1.110223024625157e-16 relative error = 1.131670824043532e-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) = 0.1947474855852042 y2[1] (numeric) = 0.1947474855852042 absolute error = 8.326672684688674e-17 relative error = 4.275625258866647e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9808534125231153 y1[1] (numeric) = 0.9808534125231152 absolute error = 1.110223024625157e-16 relative error = 1.131894950305831e-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) = 0.1957282414605171 y2[1] (numeric) = 0.195728241460517 absolute error = 8.326672684688674e-17 relative error = 4.254200938278166e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9806581746433226 y1[1] (numeric) = 0.9806581746433225 absolute error = 1.110223024625157e-16 relative error = 1.132120297706138e-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) = 0.1967088016076048 y2[1] (numeric) = 0.1967088016076048 absolute error = 8.326672684688674e-17 relative error = 4.232994465239404e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9804619561054371 y1[1] (numeric) = 0.9804619561054368 absolute error = 2.220446049250313e-16 relative error = 2.264693734849545e-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) = 0.1976891650459074 y2[1] (numeric) = 0.1976891650459073 absolute error = 8.326672684688674e-17 relative error = 4.212002556010115e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9802647571056771 y1[1] (numeric) = 0.9802647571056768 absolute error = 2.220446049250313e-16 relative error = 2.265149321298041e-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) = 0.1986693307950613 y2[1] (numeric) = 0.1986693307950612 absolute error = 8.326672684688674e-17 relative error = 4.191221992526924e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9800665778412416 y1[1] (numeric) = 0.9800665778412414 absolute error = 2.220446049250313e-16 relative error = 2.265607357146299e-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) = 0.199649297874901 y2[1] (numeric) = 0.1996492978749009 absolute error = 1.110223024625157e-16 relative error = 5.560866161026097e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.97986741851031 y1[1] (numeric) = 0.9798674185103098 absolute error = 2.220446049250313e-16 relative error = 2.266067844796852e-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) = 0.2006290653054595 y2[1] (numeric) = 0.2006290653054594 absolute error = 1.110223024625157e-16 relative error = 5.533709798900934e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9796672793120416 y1[1] (numeric) = 0.9796672793120413 absolute error = 2.220446049250313e-16 relative error = 2.266530786666257e-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) = 0.2016086321069694 y2[1] (numeric) = 0.2016086321069692 absolute error = 1.110223024625157e-16 relative error = 5.506822862803291e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9794661604465754 y1[1] (numeric) = 0.9794661604465752 absolute error = 2.220446049250313e-16 relative error = 2.26699618518513e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2040000000000001 y2[1] (analytic) = 0.2025879972998639 y2[1] (numeric) = 0.2025879972998638 absolute error = 1.110223024625157e-16 relative error = 5.48020139111125e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9792640621150305 y1[1] (numeric) = 0.9792640621150303 absolute error = 2.220446049250313e-16 relative error = 2.267464042798178e-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) = 0.2035671599047781 y2[1] (numeric) = 0.203567159904778 absolute error = 1.110223024625157e-16 relative error = 5.453841499505528e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9790609845195051 y1[1] (numeric) = 0.9790609845195049 absolute error = 2.220446049250313e-16 relative error = 2.267934361964229e-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) = 0.2045461189425493 y2[1] (numeric) = 0.2045461189425492 absolute error = 1.110223024625157e-16 relative error = 5.427739379093201e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9788569278630767 y1[1] (numeric) = 0.9788569278630764 absolute error = 2.220446049250313e-16 relative error = 2.268407145156264e-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) = 0.2055248734342186 y2[1] (numeric) = 0.2055248734342185 absolute error = 1.110223024625157e-16 relative error = 5.401891294585813e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.978651892349802 y1[1] (numeric) = 0.9786518923498018 absolute error = 2.220446049250313e-16 relative error = 2.268882394861454e-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) = 0.2065034224010316 y2[1] (numeric) = 0.2065034224010315 absolute error = 1.110223024625157e-16 relative error = 5.376293582530041e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9784458781847165 y1[1] (numeric) = 0.9784458781847163 absolute error = 2.220446049250313e-16 relative error = 2.269360113581188e-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) = 0.2074817648644394 y2[1] (numeric) = 0.2074817648644393 absolute error = 1.110223024625157e-16 relative error = 5.35094264958915e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9782388855738344 y1[1] (numeric) = 0.9782388855738342 absolute error = 2.220446049250313e-16 relative error = 2.269840303831104e-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) = 0.2084598998460997 y2[1] (numeric) = 0.2084598998460996 absolute error = 1.110223024625157e-16 relative error = 5.325834970873556e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9780309147241483 y1[1] (numeric) = 0.978030914724148 absolute error = 2.220446049250313e-16 relative error = 2.27032296814113e-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) = 0.2094378263678774 y2[1] (numeric) = 0.2094378263678773 absolute error = 1.110223024625157e-16 relative error = 5.300967088318852e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9778219658436288 y1[1] (numeric) = 0.9778219658436287 absolute error = 1.110223024625157e-16 relative error = 1.135404054527756e-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) = 0.2104155434518463 y2[1] (numeric) = 0.2104155434518462 absolute error = 1.110223024625157e-16 relative error = 5.27633560910975e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9776120391412251 y1[1] (numeric) = 0.977612039141225 absolute error = 1.110223024625157e-16 relative error = 1.135647864566421e-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) = 0.2113930501202892 y2[1] (numeric) = 0.2113930501202891 absolute error = 1.110223024625157e-16 relative error = 5.251937204148411e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9774011348268636 y1[1] (numeric) = 0.9774011348268635 absolute error = 1.110223024625157e-16 relative error = 1.135892915473053e-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) = 0.2123703453956997 y2[1] (numeric) = 0.2123703453956995 absolute error = 1.110223024625157e-16 relative error = 5.227768606565716e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9771892531114489 y1[1] (numeric) = 0.9771892531114488 absolute error = 1.110223024625157e-16 relative error = 1.136139208541352e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2150000000000001 y2[1] (analytic) = 0.2133474283007824 y2[1] (numeric) = 0.2133474283007823 absolute error = 1.387778780781446e-16 relative error = 6.504783262842622e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9769763942068623 y1[1] (numeric) = 0.9769763942068623 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] = 0.2160000000000001 y2[1] (analytic) = 0.2143242978584546 y2[1] (numeric) = 0.2143242978584545 absolute error = 1.387778780781446e-16 relative error = 6.475135085700695e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.976762558325963 y1[1] (numeric) = 0.976762558325963 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] = 0.2170000000000001 y2[1] (analytic) = 0.2153009530918468 y2[1] (numeric) = 0.2153009530918467 absolute error = 1.387778780781446e-16 relative error = 6.445762365898227e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9765477456825868 y1[1] (numeric) = 0.9765477456825868 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] = 0.2180000000000001 y2[1] (analytic) = 0.2162773930243039 y2[1] (numeric) = 0.2162773930243037 absolute error = 1.387778780781446e-16 relative error = 6.41666131339717e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9763319564915464 y1[1] (numeric) = 0.9763319564915464 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] = 0.2190000000000001 y2[1] (analytic) = 0.2172536166793859 y2[1] (numeric) = 0.2172536166793858 absolute error = 1.387778780781446e-16 relative error = 6.387828207387098e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9761151909686308 y1[1] (numeric) = 0.9761151909686308 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] = 0.2200000000000001 y2[1] (analytic) = 0.2182296230808694 y2[1] (numeric) = 0.2182296230808693 absolute error = 1.387778780781446e-16 relative error = 6.359259394711854e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9758974493306055 y1[1] (numeric) = 0.9758974493306055 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] = 0.2210000000000001 y2[1] (analytic) = 0.219205411252748 y2[1] (numeric) = 0.2192054112527479 absolute error = 1.387778780781446e-16 relative error = 6.330951288338909e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9756787317952121 y1[1] (numeric) = 0.9756787317952123 absolute error = 1.110223024625157e-16 relative error = 1.137898150739012e-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) = 0.2201809802192336 y2[1] (numeric) = 0.2201809802192335 absolute error = 1.387778780781446e-16 relative error = 6.302900365870103e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9754590385811684 y1[1] (numeric) = 0.9754590385811684 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] = 0.2230000000000001 y2[1] (analytic) = 0.2211563290047574 y2[1] (numeric) = 0.2211563290047572 absolute error = 1.387778780781446e-16 relative error = 6.275103168092434e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9752383699081674 y1[1] (numeric) = 0.9752383699081674 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] = 0.2240000000000001 y2[1] (analytic) = 0.2221314566339705 y2[1] (numeric) = 0.2221314566339704 absolute error = 1.387778780781446e-16 relative error = 6.247556297567686e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9750167259968777 y1[1] (numeric) = 0.9750167259968777 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] = 0.2250000000000001 y2[1] (analytic) = 0.2231063621317456 y2[1] (numeric) = 0.2231063621317454 absolute error = 1.387778780781446e-16 relative error = 6.22025641725965e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9747941070689432 y1[1] (numeric) = 0.9747941070689433 absolute error = 1.110223024625157e-16 relative error = 1.138930792229989e-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) = 0.2240810445231771 y2[1] (numeric) = 0.2240810445231769 absolute error = 1.387778780781446e-16 relative error = 6.19320024919781e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.974570513346983 y1[1] (numeric) = 0.9745705133469831 absolute error = 1.110223024625157e-16 relative error = 1.139192094794968e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2270000000000001 y2[1] (analytic) = 0.2250555028335827 y2[1] (numeric) = 0.2250555028335826 absolute error = 1.387778780781446e-16 relative error = 6.166384573176327e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9743459450545906 y1[1] (numeric) = 0.9743459450545907 absolute error = 1.110223024625157e-16 relative error = 1.139454657003733e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2280000000000001 y2[1] (analytic) = 0.2260297360885043 y2[1] (numeric) = 0.2260297360885042 absolute error = 1.110223024625157e-16 relative error = 4.911844980389825e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9741204024163344 y1[1] (numeric) = 0.9741204024163345 absolute error = 1.110223024625157e-16 relative error = 1.139718480252765e-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) = 0.2270037433137086 y2[1] (numeric) = 0.2270037433137085 absolute error = 1.110223024625157e-16 relative error = 4.890769678149668e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9738938856577568 y1[1] (numeric) = 0.9738938856577569 absolute error = 1.110223024625157e-16 relative error = 1.139983565946022e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y2[1] (analytic) = 0.2279775235351885 y2[1] (numeric) = 0.2279775235351884 absolute error = 1.110223024625157e-16 relative error = 4.869879308316079e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9736663950053748 y1[1] (numeric) = 0.9736663950053749 absolute error = 1.110223024625157e-16 relative error = 1.140249915494956e-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) = 0.2289510757791639 y2[1] (numeric) = 0.2289510757791638 absolute error = 1.110223024625157e-16 relative error = 4.849171469698743e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9734379306866789 y1[1] (numeric) = 0.9734379306866791 absolute error = 1.110223024625157e-16 relative error = 1.140517530318535e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.2320000000000001 y2[1] (analytic) = 0.2299243990720826 y2[1] (numeric) = 0.2299243990720825 absolute error = 1.110223024625157e-16 relative error = 4.828643802509604e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9732084929301335 y1[1] (numeric) = 0.9732084929301336 absolute error = 1.110223024625157e-16 relative error = 1.140786411843263e-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) = 0.2308974924406214 y2[1] (numeric) = 0.2308974924406212 absolute error = 1.110223024625157e-16 relative error = 4.808293987474405e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9729780819651762 y1[1] (numeric) = 0.9729780819651763 absolute error = 1.110223024625157e-16 relative error = 1.141056561503194e-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) = 0.2318703549116869 y2[1] (numeric) = 0.2318703549116868 absolute error = 1.110223024625157e-16 relative error = 4.78811974496701e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9727466980222181 y1[1] (numeric) = 0.9727466980222181 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] = 0.2350000000000001 y2[1] (analytic) = 0.2328429855124169 y2[1] (numeric) = 0.2328429855124168 absolute error = 1.110223024625157e-16 relative error = 4.76811883416583e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.972514341332643 y1[1] (numeric) = 0.972514341332643 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] = 0.2360000000000001 y2[1] (analytic) = 0.2338153832701808 y2[1] (numeric) = 0.2338153832701807 absolute error = 1.110223024625157e-16 relative error = 4.748289052231692e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9722810121288076 y1[1] (numeric) = 0.9722810121288076 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] = 0.2370000000000001 y2[1] (analytic) = 0.2347875472125809 y2[1] (numeric) = 0.2347875472125808 absolute error = 8.326672684688674e-17 relative error = 3.546471175129895e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.972046710644041 y1[1] (numeric) = 0.972046710644041 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] = 0.2380000000000001 y2[1] (analytic) = 0.2357594763674533 y2[1] (numeric) = 0.2357594763674532 absolute error = 1.110223024625157e-16 relative error = 4.709134248732252e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9718114371126449 y1[1] (numeric) = 0.9718114371126448 absolute error = 1.110223024625157e-16 relative error = 1.142426382553952e-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) = 0.236731169762869 y2[1] (numeric) = 0.2367311697628689 absolute error = 1.110223024625157e-16 relative error = 4.689805004289273e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9715751917698926 y1[1] (numeric) = 0.9715751917698926 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] = 0.2400000000000001 y2[1] (analytic) = 0.2377026264271347 y2[1] (numeric) = 0.2377026264271346 absolute error = 1.110223024625157e-16 relative error = 4.670638441454007e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9713379748520296 y1[1] (numeric) = 0.9713379748520296 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] = 0.2410000000000001 y2[1] (analytic) = 0.2386738453887938 y2[1] (numeric) = 0.2386738453887937 absolute error = 1.110223024625157e-16 relative error = 4.651632535674912e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9710997865962726 y1[1] (numeric) = 0.9710997865962726 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] = 0.2420000000000001 y2[1] (analytic) = 0.2396448256766273 y2[1] (numeric) = 0.2396448256766272 absolute error = 1.110223024625157e-16 relative error = 4.632785295866444e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9708606272408099 y1[1] (numeric) = 0.9708606272408099 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] = 0.2430000000000001 y2[1] (analytic) = 0.2406155663196552 y2[1] (numeric) = 0.2406155663196551 absolute error = 1.387778780781446e-16 relative error = 5.767618454650586e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9706204970248009 y1[1] (numeric) = 0.9706204970248009 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] = 0.2440000000000001 y2[1] (analytic) = 0.2415860663471368 y2[1] (numeric) = 0.2415860663471367 absolute error = 1.387778780781446e-16 relative error = 5.744448766293235e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9703793961883758 y1[1] (numeric) = 0.9703793961883758 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] = 0.2450000000000001 y2[1] (analytic) = 0.2425563247885722 y2[1] (numeric) = 0.2425563247885721 absolute error = 1.110223024625157e-16 relative error = 4.577176149056921e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9701373249726354 y1[1] (numeric) = 0.9701373249726353 absolute error = 1.110223024625157e-16 relative error = 1.144397804358752e-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) = 0.243526340673703 y2[1] (numeric) = 0.2435263406737029 absolute error = 1.387778780781446e-16 relative error = 5.69868038480859e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9698942836196508 y1[1] (numeric) = 0.9698942836196507 absolute error = 1.110223024625157e-16 relative error = 1.144684573747355e-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) = 0.2444961130325134 y2[1] (numeric) = 0.2444961130325133 absolute error = 1.110223024625157e-16 relative error = 4.540861655651424e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9696502723724634 y1[1] (numeric) = 0.9696502723724633 absolute error = 1.110223024625157e-16 relative error = 1.144972632151952e-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) = 0.2454656408952312 y2[1] (numeric) = 0.245465640895231 absolute error = 1.387778780781446e-16 relative error = 5.65365798537064e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9694052914750845 y1[1] (numeric) = 0.9694052914750844 absolute error = 1.110223024625157e-16 relative error = 1.145261981122259e-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) = 0.2464349232923285 y2[1] (numeric) = 0.2464349232923284 absolute error = 1.387778780781446e-16 relative error = 5.631420913241347e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9691593411724948 y1[1] (numeric) = 0.9691593411724947 absolute error = 1.110223024625157e-16 relative error = 1.14555262221587e-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) = 0.247403959254523 y2[1] (numeric) = 0.2474039592545229 absolute error = 1.110223024625157e-16 relative error = 4.487490935757365e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9689124217106447 y1[1] (numeric) = 0.9689124217106446 absolute error = 1.110223024625157e-16 relative error = 1.145844556998272e-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) = 0.248372747812779 y2[1] (numeric) = 0.2483727478127789 absolute error = 8.326672684688674e-17 relative error = 3.352490463633813e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9686645333364537 y1[1] (numeric) = 0.9686645333364536 absolute error = 1.110223024625157e-16 relative error = 1.146137787042869e-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) = 0.2493412879983078 y2[1] (numeric) = 0.2493412879983077 absolute error = 1.110223024625157e-16 relative error = 4.452624086199038e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9684156762978101 y1[1] (numeric) = 0.96841567629781 absolute error = 1.110223024625157e-16 relative error = 1.146432313931004e-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) = 0.2503095788425694 y2[1] (numeric) = 0.2503095788425693 absolute error = 1.110223024625157e-16 relative error = 4.435399674909861e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9681658508435709 y1[1] (numeric) = 0.9681658508435708 absolute error = 1.110223024625157e-16 relative error = 1.146728139251979e-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) = 0.251277619377273 y2[1] (numeric) = 0.2512776193772729 absolute error = 1.110223024625157e-16 relative error = 4.418312412289479e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9679150572235615 y1[1] (numeric) = 0.9679150572235614 absolute error = 1.110223024625157e-16 relative error = 1.147025264603075e-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) = 0.2522454086343782 y2[1] (numeric) = 0.2522454086343781 absolute error = 1.110223024625157e-16 relative error = 4.401360685356973e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9676632956885756 y1[1] (numeric) = 0.9676632956885755 absolute error = 1.110223024625157e-16 relative error = 1.147323691589581e-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) = 0.2532129456460958 y2[1] (numeric) = 0.2532129456460956 absolute error = 1.665334536937735e-16 relative error = 6.576814359504737e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9674105664903745 y1[1] (numeric) = 0.9674105664903745 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] = 0.2570000000000001 y2[1] (analytic) = 0.2541802294448888 y2[1] (numeric) = 0.2541802294448886 absolute error = 1.665334536937735e-16 relative error = 6.551786268250308e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9671568698816877 y1[1] (numeric) = 0.9671568698816876 absolute error = 1.110223024625157e-16 relative error = 1.147924456930105e-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) = 0.2551472590634735 y2[1] (numeric) = 0.2551472590634734 absolute error = 1.665334536937735e-16 relative error = 6.526954446034029e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9669022061162115 y1[1] (numeric) = 0.9669022061162115 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] = 0.2590000000000001 y2[1] (analytic) = 0.2561140335348204 y2[1] (numeric) = 0.2561140335348203 absolute error = 1.110223024625157e-16 relative error = 4.334877746846364e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9666465754486098 y1[1] (numeric) = 0.9666465754486098 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] = 0.2600000000000001 y2[1] (analytic) = 0.2570805518921552 y2[1] (numeric) = 0.2570805518921551 absolute error = 1.665334536937735e-16 relative error = 6.477870553336681e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9663899781345132 y1[1] (numeric) = 0.9663899781345132 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] = 0.2610000000000001 y2[1] (analytic) = 0.2580468131689595 y2[1] (numeric) = 0.2580468131689593 absolute error = 1.665334536937735e-16 relative error = 6.453614041911595e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.966132414430519 y1[1] (numeric) = 0.966132414430519 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] = 0.2620000000000001 y2[1] (analytic) = 0.2590128163989721 y2[1] (numeric) = 0.2590128163989719 absolute error = 1.665334536937735e-16 relative error = 6.429544916312271e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9658738845941909 y1[1] (numeric) = 0.9658738845941909 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] = 0.2630000000000001 y2[1] (analytic) = 0.25997856061619 y2[1] (numeric) = 0.2599785606161897 absolute error = 2.220446049250313e-16 relative error = 8.540881386478592e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9656143888840587 y1[1] (numeric) = 0.9656143888840587 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] = 0.2640000000000001 y2[1] (analytic) = 0.2609440448548688 y2[1] (numeric) = 0.2609440448548686 absolute error = 2.220446049250313e-16 relative error = 8.509280410998745e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.965353927559618 y1[1] (numeric) = 0.965353927559618 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] = 0.2650000000000001 y2[1] (analytic) = 0.2619092681495245 y2[1] (numeric) = 0.2619092681495244 absolute error = 1.665334536937735e-16 relative error = 6.358440648946383e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9650925008813303 y1[1] (numeric) = 0.9650925008813303 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] = 0.2660000000000001 y2[1] (analytic) = 0.262874229534934 y2[1] (numeric) = 0.2628742295349338 absolute error = 2.220446049250313e-16 relative error = 8.446800027445188e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9648301091106221 y1[1] (numeric) = 0.9648301091106221 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] = 0.2670000000000001 y2[1] (analytic) = 0.2638389280461358 y2[1] (numeric) = 0.2638389280461356 absolute error = 2.220446049250313e-16 relative error = 8.415915216506785e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9645667525098851 y1[1] (numeric) = 0.9645667525098851 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] = 0.2680000000000001 y2[1] (analytic) = 0.2648033627184315 y2[1] (numeric) = 0.2648033627184313 absolute error = 2.220446049250313e-16 relative error = 8.385263791424503e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9643024313424761 y1[1] (numeric) = 0.9643024313424761 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] = 0.2690000000000001 y2[1] (analytic) = 0.2657675325873866 y2[1] (numeric) = 0.2657675325873864 absolute error = 2.220446049250313e-16 relative error = 8.354843150452216e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9640371458727161 y1[1] (numeric) = 0.9640371458727161 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] = 0.2700000000000001 y2[1] (analytic) = 0.2667314366888313 y2[1] (numeric) = 0.266731436688831 absolute error = 2.220446049250313e-16 relative error = 8.324650730392475e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9637708963658905 y1[1] (numeric) = 0.9637708963658905 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] = 0.2710000000000001 y2[1] (analytic) = 0.2676950740588614 y2[1] (numeric) = 0.2676950740588612 absolute error = 2.220446049250313e-16 relative error = 8.294684005885278e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9635036830882489 y1[1] (numeric) = 0.963503683088249 absolute error = 1.110223024625157e-16 relative error = 1.152276887065588e-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) = 0.2686584437338398 y2[1] (numeric) = 0.2686584437338397 absolute error = 1.665334536937735e-16 relative error = 6.198705366534406e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9632355063070045 y1[1] (numeric) = 0.9632355063070045 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] = 0.2730000000000001 y2[1] (analytic) = 0.269621544750397 y2[1] (numeric) = 0.2696215447503968 absolute error = 1.665334536937735e-16 relative error = 6.176563295338374e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9629663662903339 y1[1] (numeric) = 0.9629663662903341 absolute error = 1.110223024625157e-16 relative error = 1.152919835510044e-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) = 0.2705843761454318 y2[1] (numeric) = 0.2705843761454316 absolute error = 2.220446049250313e-16 relative error = 8.20611330514103e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9626962633073775 y1[1] (numeric) = 0.9626962633073776 absolute error = 1.110223024625157e-16 relative error = 1.153243309380828e-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) = 0.271546936956113 y2[1] (numeric) = 0.2715469369561128 absolute error = 2.220446049250313e-16 relative error = 8.17702484196748e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9624251976282379 y1[1] (numeric) = 0.962425197628238 absolute error = 1.110223024625157e-16 relative error = 1.153568118707974e-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) = 0.2725092262198799 y2[1] (numeric) = 0.2725092262198797 absolute error = 2.220446049250313e-16 relative error = 8.148149991291299e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9621531695239809 y1[1] (numeric) = 0.962153169523981 absolute error = 1.110223024625157e-16 relative error = 1.153894265270084e-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) = 0.2734712429744433 y2[1] (numeric) = 0.273471242974443 absolute error = 2.220446049250313e-16 relative error = 8.119486440692489e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9618801792666346 y1[1] (numeric) = 0.9618801792666346 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] = 0.2780000000000001 y2[1] (analytic) = 0.2744329862577864 y2[1] (numeric) = 0.2744329862577862 absolute error = 2.220446049250313e-16 relative error = 8.091031911027469e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9616062271291891 y1[1] (numeric) = 0.9616062271291892 absolute error = 1.110223024625157e-16 relative error = 1.154550577256195e-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) = 0.2753944551081662 y2[1] (numeric) = 0.275394455108166 absolute error = 2.220446049250313e-16 relative error = 8.062784155832738e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9613313133855966 y1[1] (numeric) = 0.9613313133855967 absolute error = 1.110223024625157e-16 relative error = 1.154880746280069e-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) = 0.2763556485641139 y2[1] (numeric) = 0.2763556485641137 absolute error = 2.220446049250313e-16 relative error = 8.034740960741299e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9610554383107709 y1[1] (numeric) = 0.961055438310771 absolute error = 1.110223024625157e-16 relative error = 1.155212259738704e-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) = 0.277316565664436 y2[1] (numeric) = 0.2773165656644357 absolute error = 2.220446049250313e-16 relative error = 8.006900142911552e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.960778602180587 y1[1] (numeric) = 0.9607786021805871 absolute error = 1.110223024625157e-16 relative error = 1.155545119453524e-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) = 0.2782772054482155 y2[1] (numeric) = 0.2782772054482153 absolute error = 2.775557561562891e-16 relative error = 9.97407443808542e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9605008052718809 y1[1] (numeric) = 0.960500805271881 absolute error = 1.110223024625157e-16 relative error = 1.155879327254593e-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) = 0.2792375669548128 y2[1] (numeric) = 0.2792375669548126 absolute error = 2.775557561562891e-16 relative error = 9.939771327444783e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9602220478624496 y1[1] (numeric) = 0.9602220478624497 absolute error = 1.110223024625157e-16 relative error = 1.15621488498064e-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) = 0.2801976492238664 y2[1] (numeric) = 0.2801976492238661 absolute error = 2.775557561562891e-16 relative error = 9.905713232252477e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9599423302310505 y1[1] (numeric) = 0.9599423302310506 absolute error = 1.110223024625157e-16 relative error = 1.156551794479086e-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) = 0.2811574512952942 y2[1] (numeric) = 0.2811574512952938 absolute error = 3.33066907387547e-16 relative error = 1.18462770896914e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9596616526574011 y1[1] (numeric) = 0.9596616526574012 absolute error = 1.110223024625157e-16 relative error = 1.156890057606069e-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) = 0.282116972209294 y2[1] (numeric) = 0.2821169722092937 absolute error = 3.33066907387547e-16 relative error = 1.180598617584959e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.959380015422179 y1[1] (numeric) = 0.9593800154221792 absolute error = 2.220446049250313e-16 relative error = 2.314459352452945e-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) = 0.2830762110063452 y2[1] (numeric) = 0.2830762110063449 absolute error = 2.775557561562891e-16 relative error = 9.804983441369706e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9590974188070215 y1[1] (numeric) = 0.9590974188070217 absolute error = 2.220446049250313e-16 relative error = 2.315141304427893e-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) = 0.284035166727209 y2[1] (numeric) = 0.2840351667272086 absolute error = 3.33066907387547e-16 relative error = 1.172625598531708e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9588138630945251 y1[1] (numeric) = 0.9588138630945253 absolute error = 2.220446049250313e-16 relative error = 2.315825974901877e-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) = 0.2849938384129296 y2[1] (numeric) = 0.2849938384129293 absolute error = 3.33066907387547e-16 relative error = 1.168681081816807e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9585293485682455 y1[1] (numeric) = 0.9585293485682457 absolute error = 2.220446049250313e-16 relative error = 2.316513367657434e-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) = 0.2859522251048357 y2[1] (numeric) = 0.2859522251048353 absolute error = 3.885780586188048e-16 relative error = 1.358891536781518e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9582438755126971 y1[1] (numeric) = 0.9582438755126974 absolute error = 3.33066907387547e-16 relative error = 3.475805229742204e-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) = 0.2869103258445404 y2[1] (numeric) = 0.2869103258445401 absolute error = 3.33066907387547e-16 relative error = 1.160874591763616e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9579574442133532 y1[1] (numeric) = 0.9579574442133535 absolute error = 3.33066907387547e-16 relative error = 3.476844502847951e-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) = 0.2878681396739433 y2[1] (numeric) = 0.2878681396739429 absolute error = 3.885780586188048e-16 relative error = 1.349847395612907e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9576700549566448 y1[1] (numeric) = 0.9576700549566451 absolute error = 3.33066907387547e-16 relative error = 3.477887876557082e-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) = 0.2888256656352304 y2[1] (numeric) = 0.28882566563523 absolute error = 3.885780586188048e-16 relative error = 1.345372329582218e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9573817080299614 y1[1] (numeric) = 0.9573817080299617 absolute error = 3.33066907387547e-16 relative error = 3.478935356650073e-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) = 0.2897829027708759 y2[1] (numeric) = 0.2897829027708755 absolute error = 3.885780586188048e-16 relative error = 1.340928173826886e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9570924037216496 y1[1] (numeric) = 0.9570924037216499 absolute error = 3.33066907387547e-16 relative error = 3.479986948934269e-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) = 0.2907398501236429 y2[1] (numeric) = 0.2907398501236425 absolute error = 3.885780586188048e-16 relative error = 1.336514614193941e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9568021423210139 y1[1] (numeric) = 0.9568021423210142 absolute error = 3.33066907387547e-16 relative error = 3.48104265924397e-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) = 0.2916965067365839 y2[1] (numeric) = 0.2916965067365835 absolute error = 3.885780586188048e-16 relative error = 1.332131340776424e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9565109241183155 y1[1] (numeric) = 0.956510924118316 absolute error = 4.440892098500626e-16 relative error = 4.642803324587342e-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) = 0.2926528716530426 y2[1] (numeric) = 0.2926528716530422 absolute error = 4.440892098500626e-16 relative error = 1.517460626105035e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9562187494047728 y1[1] (numeric) = 0.9562187494047732 absolute error = 4.440892098500626e-16 relative error = 4.644221943216438e-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) = 0.2936089439166539 y2[1] (numeric) = 0.2936089439166535 absolute error = 4.440892098500626e-16 relative error = 1.512519352871366e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9559256184725604 y1[1] (numeric) = 0.9559256184725609 absolute error = 4.440892098500626e-16 relative error = 4.645646076100115e-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) = 0.2945647225713459 y2[1] (numeric) = 0.2945647225713454 absolute error = 4.440892098500626e-16 relative error = 1.507611658223944e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9556315316148092 y1[1] (numeric) = 0.9556315316148096 absolute error = 4.440892098500626e-16 relative error = 4.647075731162288e-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) = 0.2955202066613397 y2[1] (numeric) = 0.2955202066613393 absolute error = 3.885780586188048e-16 relative error = 1.314895055768919e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.955336489125606 y1[1] (numeric) = 0.9553364891256064 absolute error = 4.440892098500626e-16 relative error = 4.64851091636336e-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) = 0.2964753952311516 y2[1] (numeric) = 0.2964753952311512 absolute error = 3.885780586188048e-16 relative error = 1.310658708510512e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9550404912999932 y1[1] (numeric) = 0.9550404912999937 absolute error = 4.440892098500626e-16 relative error = 4.649951639700344e-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) = 0.2974302873255929 y2[1] (numeric) = 0.2974302873255925 absolute error = 3.885780586188048e-16 relative error = 1.306450873287944e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9547435384339688 y1[1] (numeric) = 0.9547435384339692 absolute error = 4.440892098500626e-16 relative error = 4.65139790920697e-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) = 0.2983848819897717 y2[1] (numeric) = 0.2983848819897713 absolute error = 3.885780586188048e-16 relative error = 1.302271267993145e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9544456308244855 y1[1] (numeric) = 0.9544456308244859 absolute error = 3.33066907387547e-16 relative error = 3.489637299715348e-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) = 0.2993391782690933 y2[1] (numeric) = 0.299339178269093 absolute error = 3.885780586188048e-16 relative error = 1.298119614230682e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9541467687694509 y1[1] (numeric) = 0.9541467687694513 absolute error = 3.33066907387547e-16 relative error = 3.490730339286256e-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) = 0.3002931752092617 y2[1] (numeric) = 0.3002931752092613 absolute error = 3.885780586188048e-16 relative error = 1.293995637256894e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.953846952567727 y1[1] (numeric) = 0.9538469525677274 absolute error = 4.440892098500626e-16 relative error = 4.655770075635174e-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) = 0.3012468718562799 y2[1] (numeric) = 0.3012468718562795 absolute error = 3.885780586188048e-16 relative error = 1.289899065920224e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.95354618251913 y1[1] (numeric) = 0.9535461825191305 absolute error = 4.440892098500626e-16 relative error = 4.657238610896052e-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) = 0.3022002672564512 y2[1] (numeric) = 0.3022002672564509 absolute error = 3.33066907387547e-16 relative error = 1.102139685088041e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9532444589244301 y1[1] (numeric) = 0.9532444589244304 absolute error = 3.33066907387547e-16 relative error = 3.49403454978752e-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) = 0.3031533604563805 y2[1] (numeric) = 0.3031533604563802 absolute error = 3.33066907387547e-16 relative error = 1.098674634139411e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9529417820853506 y1[1] (numeric) = 0.952941782085351 absolute error = 3.33066907387547e-16 relative error = 3.495144337765176e-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) = 0.3041061505029747 y2[1] (numeric) = 0.3041061505029743 absolute error = 3.33066907387547e-16 relative error = 1.095232394467106e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9526381523045684 y1[1] (numeric) = 0.9526381523045688 absolute error = 4.440892098500626e-16 relative error = 4.661677771100675e-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) = 0.3050586364434437 y2[1] (numeric) = 0.3050586364434433 absolute error = 3.33066907387547e-16 relative error = 1.091812745479494e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9523335698857134 y1[1] (numeric) = 0.9523335698857137 absolute error = 3.33066907387547e-16 relative error = 3.49737652771725e-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) = 0.3060108173253016 y2[1] (numeric) = 0.3060108173253013 absolute error = 3.33066907387547e-16 relative error = 1.088415469422715e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9520280351333678 y1[1] (numeric) = 0.9520280351333681 absolute error = 3.33066907387547e-16 relative error = 3.498498942217476e-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) = 0.3069626921963677 y2[1] (numeric) = 0.3069626921963674 absolute error = 3.33066907387547e-16 relative error = 1.085040351335204e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9517215483530663 y1[1] (numeric) = 0.9517215483530667 absolute error = 3.33066907387547e-16 relative error = 3.499625578131672e-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) = 0.3079142601047672 y2[1] (numeric) = 0.3079142601047669 absolute error = 3.33066907387547e-16 relative error = 1.081687179003082e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9514141098512959 y1[1] (numeric) = 0.9514141098512963 absolute error = 3.33066907387547e-16 relative error = 3.500756441793833e-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) = 0.3088655200989323 y2[1] (numeric) = 0.308865520098932 absolute error = 3.33066907387547e-16 relative error = 1.078355742916408e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9511057199354949 y1[1] (numeric) = 0.9511057199354953 absolute error = 4.440892098500626e-16 relative error = 4.669188719422078e-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) = 0.309816471227603 y2[1] (numeric) = 0.3098164712276027 absolute error = 3.33066907387547e-16 relative error = 1.075045836226258e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9507963789140532 y1[1] (numeric) = 0.9507963789140537 absolute error = 4.440892098500626e-16 relative error = 4.670707837121515e-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) = 0.3107671125398283 y2[1] (numeric) = 0.310767112539828 absolute error = 3.33066907387547e-16 relative error = 1.071757254702621e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9504860870963119 y1[1] (numeric) = 0.9504860870963123 absolute error = 4.440892098500626e-16 relative error = 4.672232617383525e-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) = 0.311717443084967 y2[1] (numeric) = 0.3117174430849666 absolute error = 3.33066907387547e-16 relative error = 1.068489796693092e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9501748447925625 y1[1] (numeric) = 0.9501748447925631 absolute error = 5.551115123125783e-16 relative error = 5.842203836008387e-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) = 0.3126674619126885 y2[1] (numeric) = 0.3126674619126882 absolute error = 3.33066907387547e-16 relative error = 1.065243263082344e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9498626523140478 y1[1] (numeric) = 0.9498626523140482 absolute error = 4.440892098500626e-16 relative error = 4.675299200028299e-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) = 0.3136171680729742 y2[1] (numeric) = 0.3136171680729739 absolute error = 3.33066907387547e-16 relative error = 1.062017457252363e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9495495099729597 y1[1] (numeric) = 0.9495495099729602 absolute error = 4.440892098500626e-16 relative error = 4.676841019724279e-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) = 0.3145665606161179 y2[1] (numeric) = 0.3145665606161176 absolute error = 3.33066907387547e-16 relative error = 1.058812185043425e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9492354180824408 y1[1] (numeric) = 0.9492354180824413 absolute error = 4.440892098500626e-16 relative error = 4.678388536609509e-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) = 0.3155156385927273 y2[1] (numeric) = 0.315515638592727 absolute error = 3.33066907387547e-16 relative error = 1.055627254715812e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9489203769565829 y1[1] (numeric) = 0.9489203769565834 absolute error = 4.440892098500626e-16 relative error = 4.679941759437858e-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) = 0.3164644010537243 y2[1] (numeric) = 0.316464401053724 absolute error = 2.775557561562891e-16 relative error = 8.770520640935222e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9486043869104273 y1[1] (numeric) = 0.9486043869104277 absolute error = 4.440892098500626e-16 relative error = 4.681500697002323e-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) = 0.3174128470503467 y2[1] (numeric) = 0.3174128470503464 absolute error = 2.775557561562891e-16 relative error = 8.744313871840998e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9482874482599637 y1[1] (numeric) = 0.9482874482599641 absolute error = 4.440892098500626e-16 relative error = 4.683065358135162e-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) = 0.3183609756341484 y2[1] (numeric) = 0.3183609756341482 absolute error = 2.775557561562891e-16 relative error = 8.718271942829088e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9479695613221308 y1[1] (numeric) = 0.9479695613221313 absolute error = 4.440892098500626e-16 relative error = 4.684635751708024e-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) = 0.3193087858570011 y2[1] (numeric) = 0.3193087858570008 absolute error = 2.775557561562891e-16 relative error = 8.692393333661335e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9476507264148156 y1[1] (numeric) = 0.9476507264148162 absolute error = 5.551115123125783e-16 relative error = 5.857764858290089e-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) = 0.3202562767710945 y2[1] (numeric) = 0.3202562767710943 absolute error = 2.775557561562891e-16 relative error = 8.666676542757477e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.947330943856853 y1[1] (numeric) = 0.9473309438568536 absolute error = 5.551115123125783e-16 relative error = 5.859742214822645e-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) = 0.3212034474289379 y2[1] (numeric) = 0.3212034474289376 absolute error = 2.775557561562891e-16 relative error = 8.641120086909864e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9470102139680255 y1[1] (numeric) = 0.9470102139680261 absolute error = 5.551115123125783e-16 relative error = 5.861726770470934e-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) = 0.3221502968833605 y2[1] (numeric) = 0.3221502968833603 absolute error = 2.220446049250313e-16 relative error = 6.892578000802713e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.946688537069063 y1[1] (numeric) = 0.9466885370690635 absolute error = 5.551115123125783e-16 relative error = 5.863718536523081e-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) = 0.3230968241875132 y2[1] (numeric) = 0.3230968241875129 absolute error = 2.775557561562891e-16 relative error = 8.590482337740537e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9463659134816422 y1[1] (numeric) = 0.9463659134816428 absolute error = 5.551115123125783e-16 relative error = 5.865717524317262e-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) = 0.3240430283948685 y2[1] (numeric) = 0.3240430283948683 absolute error = 2.775557561562891e-16 relative error = 8.565398167371418e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9460423435283869 y1[1] (numeric) = 0.9460423435283875 absolute error = 5.551115123125783e-16 relative error = 5.86772374524187e-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) = 0.3249889085592225 y2[1] (numeric) = 0.3249889085592222 absolute error = 2.775557561562891e-16 relative error = 8.540468577428708e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9457178275328668 y1[1] (numeric) = 0.9457178275328674 absolute error = 5.551115123125783e-16 relative error = 5.869737210735686e-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) = 0.325934463734695 y2[1] (numeric) = 0.3259344637346948 absolute error = 2.220446049250313e-16 relative error = 6.812553737973894e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9453923658195981 y1[1] (numeric) = 0.9453923658195986 absolute error = 5.551115123125783e-16 relative error = 5.871757932288042e-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) = 0.3268796929757309 y2[1] (numeric) = 0.3268796929757307 absolute error = 2.775557561562891e-16 relative error = 8.491067573809064e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9450659587140423 y1[1] (numeric) = 0.9450659587140429 absolute error = 5.551115123125783e-16 relative error = 5.873785921438989e-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) = 0.3278245953371011 y2[1] (numeric) = 0.3278245953371008 absolute error = 2.775557561562891e-16 relative error = 8.466593419291171e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9447386065426066 y1[1] (numeric) = 0.9447386065426071 absolute error = 5.551115123125783e-16 relative error = 5.875821189779476e-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) = 0.3287691698739033 y2[1] (numeric) = 0.328769169873903 absolute error = 2.220446049250313e-16 relative error = 6.753814690416218e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9444103096326429 y1[1] (numeric) = 0.9444103096326435 absolute error = 5.551115123125783e-16 relative error = 5.877863748951509e-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) = 0.329713415641563 y2[1] (numeric) = 0.3297134156415627 absolute error = 2.775557561562891e-16 relative error = 8.418091075130066e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9440810683124484 y1[1] (numeric) = 0.944081068312449 absolute error = 5.551115123125783e-16 relative error = 5.879913610648331e-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) = 0.3306573316958345 y2[1] (numeric) = 0.3306573316958342 absolute error = 2.775557561562891e-16 relative error = 8.394060241543577e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9437508829112643 y1[1] (numeric) = 0.9437508829112649 absolute error = 5.551115123125783e-16 relative error = 5.881970786614589e-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) = 0.3316009170928019 y2[1] (numeric) = 0.3316009170928016 absolute error = 2.775557561562891e-16 relative error = 8.370174563739592e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9434197537592759 y1[1] (numeric) = 0.9434197537592764 absolute error = 5.551115123125783e-16 relative error = 5.884035288646513e-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) = 0.3325441708888798 y2[1] (numeric) = 0.3325441708888795 absolute error = 3.33066907387547e-16 relative error = 1.001571931022787e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9430876811876123 y1[1] (numeric) = 0.9430876811876129 absolute error = 5.551115123125783e-16 relative error = 5.886107128592083e-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) = 0.3334870921408146 y2[1] (numeric) = 0.3334870921408142 absolute error = 3.33066907387547e-16 relative error = 9.987400269360645e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.9427546655283462 y1[1] (numeric) = 0.9427546655283467 absolute error = 5.551115123125783e-16 relative error = 5.888186318351214e-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) = 0.334429679905685 y2[1] (numeric) = 0.3344296799056846 absolute error = 3.885780586188048e-16 relative error = 1.161912599169997e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.942420707114493 y1[1] (numeric) = 0.9424207071144937 absolute error = 6.661338147750939e-16 relative error = 7.068327443851109e-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) = 0.3353719332409034 y2[1] (numeric) = 0.335371933240903 absolute error = 3.885780586188048e-16 relative error = 1.158648116029681e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9420858062800114 y1[1] (numeric) = 0.9420858062800119 absolute error = 5.551115123125783e-16 relative error = 5.892366795170516e-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) = 0.3363138512042164 y2[1] (numeric) = 0.336313851204216 absolute error = 3.885780586188048e-16 relative error = 1.155403077296547e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9417499633598019 y1[1] (numeric) = 0.9417499633598024 absolute error = 5.551115123125783e-16 relative error = 5.894468106291757e-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) = 0.3372554328537063 y2[1] (numeric) = 0.3372554328537059 absolute error = 3.885780586188048e-16 relative error = 1.152177313589374e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9414131786897075 y1[1] (numeric) = 0.9414131786897081 absolute error = 5.551115123125783e-16 relative error = 5.896576815349051e-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) = 0.3381966772477915 y2[1] (numeric) = 0.3381966772477911 absolute error = 3.885780586188048e-16 relative error = 1.148970657491409e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9410754526065129 y1[1] (numeric) = 0.9410754526065135 absolute error = 5.551115123125783e-16 relative error = 5.898692934504628e-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) = 0.3391375834452275 y2[1] (numeric) = 0.3391375834452272 absolute error = 3.885780586188048e-16 relative error = 1.145782943521982e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9407367854479441 y1[1] (numeric) = 0.9407367854479447 absolute error = 5.551115123125783e-16 relative error = 5.900816475973719e-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) = 0.3400781505051084 y2[1] (numeric) = 0.340078150505108 absolute error = 3.885780586188048e-16 relative error = 1.142614008108609e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9403971775526684 y1[1] (numeric) = 0.9403971775526688 absolute error = 4.440892098500626e-16 relative error = 4.722357961619794e-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) = 0.3410183774868671 y2[1] (numeric) = 0.3410183774868668 absolute error = 3.885780586188048e-16 relative error = 1.139463689559573e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9400566292602933 y1[1] (numeric) = 0.9400566292602938 absolute error = 4.440892098500626e-16 relative error = 4.724068699983587e-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) = 0.3419582634502768 y2[1] (numeric) = 0.3419582634502764 absolute error = 3.885780586188048e-16 relative error = 1.136331828036982e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9397151409113674 y1[1] (numeric) = 0.9397151409113679 absolute error = 4.440892098500626e-16 relative error = 4.725785405770625e-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) = 0.3428978074554516 y2[1] (numeric) = 0.3428978074554511 absolute error = 4.440892098500626e-16 relative error = 1.29510658917747e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9393727128473789 y1[1] (numeric) = 0.9393727128473793 absolute error = 4.440892098500626e-16 relative error = 4.727508088924171e-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) = 0.3438370085628474 y2[1] (numeric) = 0.3438370085628469 absolute error = 4.440892098500626e-16 relative error = 1.291568966663142e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9390293454107558 y1[1] (numeric) = 0.9390293454107562 absolute error = 4.440892098500626e-16 relative error = 4.729236759430628e-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) = 0.3447758658332633 y2[1] (numeric) = 0.3447758658332629 absolute error = 4.440892098500626e-16 relative error = 1.288051902289553e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9386850389448654 y1[1] (numeric) = 0.938685038944866 absolute error = 5.551115123125783e-16 relative error = 5.913714284149609e-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) = 0.3457143783278421 y2[1] (numeric) = 0.3457143783278417 absolute error = 3.885780586188048e-16 relative error = 1.12398581886668e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9383397937940146 y1[1] (numeric) = 0.938339793794015 absolute error = 4.440892098500626e-16 relative error = 4.732712102664481e-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) = 0.3466525451080714 y2[1] (numeric) = 0.346652545108071 absolute error = 4.440892098500626e-16 relative error = 1.281078751957856e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.937993610303448 y1[1] (numeric) = 0.9379936103034484 absolute error = 4.440892098500626e-16 relative error = 4.734458795581736e-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) = 0.3475903652357845 y2[1] (numeric) = 0.3475903652357841 absolute error = 3.885780586188048e-16 relative error = 1.117919532537148e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9376464888193492 y1[1] (numeric) = 0.9376464888193496 absolute error = 4.440892098500626e-16 relative error = 4.73621151623192e-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) = 0.3485278377731613 y2[1] (numeric) = 0.3485278377731609 absolute error = 3.885780586188048e-16 relative error = 1.114912545010853e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9372984296888398 y1[1] (numeric) = 0.9372984296888403 absolute error = 4.440892098500626e-16 relative error = 4.737970274819402e-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) = 0.3494649617827293 y2[1] (numeric) = 0.349464961782729 absolute error = 3.885780586188048e-16 relative error = 1.111922799460488e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9369494332599788 y1[1] (numeric) = 0.9369494332599793 absolute error = 4.440892098500626e-16 relative error = 4.7397350815926e-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) = 0.3504017363273648 y2[1] (numeric) = 0.3504017363273644 absolute error = 3.885780586188048e-16 relative error = 1.108950151593352e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9365994998817626 y1[1] (numeric) = 0.9365994998817631 absolute error = 4.440892098500626e-16 relative error = 4.741505946844142e-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) = 0.3513381604702931 y2[1] (numeric) = 0.3513381604702926 absolute error = 4.440892098500626e-16 relative error = 1.26399366711437e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9362486299041246 y1[1] (numeric) = 0.9362486299041251 absolute error = 4.440892098500626e-16 relative error = 4.743282880911015e-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) = 0.3522742332750902 y2[1] (numeric) = 0.3522742332750897 absolute error = 4.440892098500626e-16 relative error = 1.260634948294031e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9358968236779348 y1[1] (numeric) = 0.9358968236779351 absolute error = 3.33066907387547e-16 relative error = 3.558799420631045e-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) = 0.3532099538056834 y2[1] (numeric) = 0.3532099538056829 absolute error = 4.996003610813204e-16 relative error = 1.414457196628646e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9355440815549992 y1[1] (numeric) = 0.9355440815549996 absolute error = 3.33066907387547e-16 relative error = 3.560141247796098e-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) = 0.3541453211263522 y2[1] (numeric) = 0.3541453211263517 absolute error = 4.996003610813204e-16 relative error = 1.410721337479065e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9351904038880601 y1[1] (numeric) = 0.9351904038880604 absolute error = 3.33066907387547e-16 relative error = 3.561487650031685e-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) = 0.3550803343017294 y2[1] (numeric) = 0.3550803343017289 absolute error = 4.996003610813204e-16 relative error = 1.40700656391966e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9348357910307949 y1[1] (numeric) = 0.9348357910307953 absolute error = 3.33066907387547e-16 relative error = 3.562838635224817e-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) = 0.3560149923968018 y2[1] (numeric) = 0.3560149923968013 absolute error = 4.996003610813204e-16 relative error = 1.403312702416991e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9344802433378168 y1[1] (numeric) = 0.9344802433378171 absolute error = 3.33066907387547e-16 relative error = 3.56419421129637e-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) = 0.3569492944769116 y2[1] (numeric) = 0.3569492944769111 absolute error = 4.996003610813204e-16 relative error = 1.399639581340133e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.934123761164673 y1[1] (numeric) = 0.9341237611646734 absolute error = 4.440892098500626e-16 relative error = 4.754072514934944e-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) = 0.3578832396077566 y2[1] (numeric) = 0.3578832396077561 absolute error = 4.440892098500626e-16 relative error = 1.240877360830836e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9337663448678459 y1[1] (numeric) = 0.9337663448678464 absolute error = 4.440892098500626e-16 relative error = 4.755892223904404e-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) = 0.3588168268553918 y2[1] (numeric) = 0.3588168268553914 absolute error = 4.440892098500626e-16 relative error = 1.237648785153091e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9334079948047519 y1[1] (numeric) = 0.9334079948047523 absolute error = 4.440892098500626e-16 relative error = 4.75771808600114e-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) = 0.3597500552862302 y2[1] (numeric) = 0.3597500552862297 absolute error = 4.996003610813204e-16 relative error = 1.388742972350123e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9330487113337408 y1[1] (numeric) = 0.9330487113337412 absolute error = 4.440892098500626e-16 relative error = 4.759550111968559e-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) = 0.3606829239670431 y2[1] (numeric) = 0.3606829239670427 absolute error = 4.440892098500626e-16 relative error = 1.23124545228163e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9326884948140961 y1[1] (numeric) = 0.9326884948140965 absolute error = 4.440892098500626e-16 relative error = 4.761388312596037e-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) = 0.3616154319649622 y2[1] (numeric) = 0.3616154319649617 absolute error = 4.996003610813204e-16 relative error = 1.381579205197548e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9323273456060344 y1[1] (numeric) = 0.9323273456060348 absolute error = 4.440892098500626e-16 relative error = 4.763232698719078e-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) = 0.3625475783474794 y2[1] (numeric) = 0.362547578347479 absolute error = 4.440892098500626e-16 relative error = 1.224912911773556e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9319652640707047 y1[1] (numeric) = 0.9319652640707051 absolute error = 4.440892098500626e-16 relative error = 4.765083281219494e-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) = 0.3634793621824485 y2[1] (numeric) = 0.3634793621824481 absolute error = 4.440892098500626e-16 relative error = 1.221772832393031e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9316022505701885 y1[1] (numeric) = 0.9316022505701891 absolute error = 5.551115123125783e-16 relative error = 5.95867508878195e-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) = 0.3644107825380857 y2[1] (numeric) = 0.3644107825380853 absolute error = 4.440892098500626e-16 relative error = 1.218650026645821e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9312383054674995 y1[1] (numeric) = 0.9312383054675001 absolute error = 5.551115123125783e-16 relative error = 5.961003848890233e-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) = 0.3653418384829707 y2[1] (numeric) = 0.3653418384829703 absolute error = 4.440892098500626e-16 relative error = 1.215544356195499e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9308734291265827 y1[1] (numeric) = 0.9308734291265832 absolute error = 5.551115123125783e-16 relative error = 5.963340395626361e-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) = 0.3662725290860478 y2[1] (numeric) = 0.3662725290860473 absolute error = 4.996003610813204e-16 relative error = 1.364012644704649e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9305076219123142 y1[1] (numeric) = 0.9305076219123147 absolute error = 5.551115123125783e-16 relative error = 5.9656847428262e-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) = 0.3672028534166262 y2[1] (numeric) = 0.3672028534166257 absolute error = 4.996003610813204e-16 relative error = 1.360556859601733e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9301408841905014 y1[1] (numeric) = 0.9301408841905019 absolute error = 4.440892098500626e-16 relative error = 4.774429523507635e-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) = 0.3681328105443818 y2[1] (numeric) = 0.3681328105443814 absolute error = 4.996003610813204e-16 relative error = 1.357119894699223e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9297732163278819 y1[1] (numeric) = 0.9297732163278823 absolute error = 4.440892098500626e-16 relative error = 4.77631751540427e-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) = 0.3690623995393576 y2[1] (numeric) = 0.3690623995393571 absolute error = 4.996003610813204e-16 relative error = 1.353701600880753e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9294046186921235 y1[1] (numeric) = 0.929404618692124 absolute error = 4.440892098500626e-16 relative error = 4.77821178116151e-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) = 0.3699916194719646 y2[1] (numeric) = 0.3699916194719641 absolute error = 4.996003610813204e-16 relative error = 1.350301830604508e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.929035091651824 y1[1] (numeric) = 0.9290350916518244 absolute error = 4.440892098500626e-16 relative error = 4.780112332037665e-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) = 0.3709204694129829 y2[1] (numeric) = 0.3709204694129824 absolute error = 4.996003610813204e-16 relative error = 1.346920437882508e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9286646355765101 y1[1] (numeric) = 0.9286646355765106 absolute error = 4.440892098500626e-16 relative error = 4.782019179338884e-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) = 0.3718489484335627 y2[1] (numeric) = 0.3718489484335623 absolute error = 4.440892098500626e-16 relative error = 1.194273136231302e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9282932508366382 y1[1] (numeric) = 0.9282932508366386 absolute error = 4.440892098500626e-16 relative error = 4.783932334419329e-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) = 0.3727770556052251 y2[1] (numeric) = 0.3727770556052246 absolute error = 4.996003610813204e-16 relative error = 1.340212208796463e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9279209378035926 y1[1] (numeric) = 0.9279209378035931 absolute error = 4.440892098500626e-16 relative error = 4.785851808681359e-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) = 0.373704789999863 y2[1] (numeric) = 0.3737047899998625 absolute error = 4.996003610813204e-16 relative error = 1.336885088043703e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9275476968496867 y1[1] (numeric) = 0.9275476968496871 absolute error = 3.33066907387547e-16 relative error = 3.590833210181772e-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) = 0.3746321506897419 y2[1] (numeric) = 0.3746321506897414 absolute error = 4.996003610813204e-16 relative error = 1.333575776028558e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9271735283481612 y1[1] (numeric) = 0.9271735283481616 absolute error = 3.33066907387547e-16 relative error = 3.592282320451211e-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) = 0.3755591367475014 y2[1] (numeric) = 0.375559136747501 absolute error = 4.440892098500626e-16 relative error = 1.182474785984599e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9267984326731846 y1[1] (numeric) = 0.926798432673185 absolute error = 3.33066907387547e-16 relative error = 3.593736195980338e-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) = 0.3764857472461555 y2[1] (numeric) = 0.376485747246155 absolute error = 4.440892098500626e-16 relative error = 1.179564467176778e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9264224101998526 y1[1] (numeric) = 0.9264224101998529 absolute error = 3.33066907387547e-16 relative error = 3.595194845466832e-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) = 0.3774119812590937 y2[1] (numeric) = 0.3774119812590932 absolute error = 4.996003610813204e-16 relative error = 1.323753314387612e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9260454613041875 y1[1] (numeric) = 0.9260454613041879 absolute error = 3.33066907387547e-16 relative error = 3.596658277645195e-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) = 0.3783378378600821 y2[1] (numeric) = 0.3783378378600816 absolute error = 4.996003610813204e-16 relative error = 1.320513866408689e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9256675863631384 y1[1] (numeric) = 0.9256675863631387 absolute error = 3.33066907387547e-16 relative error = 3.59812650128688e-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) = 0.3792633161232641 y2[1] (numeric) = 0.3792633161232636 absolute error = 4.996003610813204e-16 relative error = 1.317291548753283e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.92528878575458 y1[1] (numeric) = 0.9252887857545803 absolute error = 3.33066907387547e-16 relative error = 3.599599525200431e-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) = 0.3801884151231616 y2[1] (numeric) = 0.3801884151231611 absolute error = 4.996003610813204e-16 relative error = 1.314086229901233e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.924909059857313 y1[1] (numeric) = 0.9249090598573132 absolute error = 2.220446049250313e-16 relative error = 2.400718238821084e-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) = 0.3811131339346757 y2[1] (numeric) = 0.3811131339346752 absolute error = 4.996003610813204e-16 relative error = 1.310897779678603e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9245284090510631 y1[1] (numeric) = 0.9245284090510634 absolute error = 2.220446049250313e-16 relative error = 2.401706672842407e-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) = 0.3820374716330877 y2[1] (numeric) = 0.3820374716330872 absolute error = 4.996003610813204e-16 relative error = 1.30772606924051e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9241468337164813 y1[1] (numeric) = 0.9241468337164815 absolute error = 2.220446049250313e-16 relative error = 2.402698324811361e-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) = 0.3829614272940598 y2[1] (numeric) = 0.3829614272940593 absolute error = 4.996003610813204e-16 relative error = 1.304570971054217e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9237643342351428 y1[1] (numeric) = 0.923764334235143 absolute error = 2.220446049250313e-16 relative error = 2.40369320070015e-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) = 0.3838849999936365 y2[1] (numeric) = 0.383884999993636 absolute error = 4.996003610813204e-16 relative error = 1.301432358882483e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.923380910989547 y1[1] (numeric) = 0.9233809109895472 absolute error = 2.220446049250313e-16 relative error = 2.404691306506172e-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) = 0.3848081888082452 y2[1] (numeric) = 0.3848081888082447 absolute error = 4.996003610813204e-16 relative error = 1.298310107767165e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9229965643631172 y1[1] (numeric) = 0.9229965643631174 absolute error = 2.220446049250313e-16 relative error = 2.405692648252117e-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) = 0.3857309928146972 y2[1] (numeric) = 0.3857309928146967 absolute error = 4.996003610813204e-16 relative error = 1.295204094013066e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9226112947401999 y1[1] (numeric) = 0.9226112947402001 absolute error = 2.220446049250313e-16 relative error = 2.406697231986059e-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) = 0.3866534110901886 y2[1] (numeric) = 0.3866534110901881 absolute error = 4.996003610813204e-16 relative error = 1.292114195172034e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9222251025060647 y1[1] (numeric) = 0.9222251025060649 absolute error = 2.220446049250313e-16 relative error = 2.407705063781552e-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) = 0.387575442712301 y2[1] (numeric) = 0.3875754427123005 absolute error = 4.996003610813204e-16 relative error = 1.289040290027291e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.921837988046904 y1[1] (numeric) = 0.9218379880469042 absolute error = 2.220446049250313e-16 relative error = 2.408716149737729e-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) = 0.3884970867590031 y2[1] (numeric) = 0.3884970867590026 absolute error = 4.996003610813204e-16 relative error = 1.285982258578012e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9214499517498319 y1[1] (numeric) = 0.9214499517498322 absolute error = 3.33066907387547e-16 relative error = 3.614595743969094e-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) = 0.3894183423086507 y2[1] (numeric) = 0.3894183423086502 absolute error = 4.440892098500626e-16 relative error = 1.140391095132546e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.921060994002885 y1[1] (numeric) = 0.9210609940028852 absolute error = 2.220446049250313e-16 relative error = 2.410748108657132e-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) = 0.3903392084399885 y2[1] (numeric) = 0.390339208439988 absolute error = 4.996003610813204e-16 relative error = 1.279913342751296e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9206711151950208 y1[1] (numeric) = 0.920671115195021 absolute error = 2.220446049250313e-16 relative error = 2.411768993947386e-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) = 0.3912596842321504 y2[1] (numeric) = 0.3912596842321499 absolute error = 4.996003610813204e-16 relative error = 1.276902224316286e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9202803157161181 y1[1] (numeric) = 0.9202803157161182 absolute error = 1.110223024625157e-16 relative error = 1.206396579026287e-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) = 0.3921797687646607 y2[1] (numeric) = 0.3921797687646602 absolute error = 4.996003610813204e-16 relative error = 1.273906511432314e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9198885959569764 y1[1] (numeric) = 0.9198885959569765 absolute error = 1.110223024625157e-16 relative error = 1.206910303600592e-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) = 0.3930994611174348 y2[1] (numeric) = 0.3930994611174343 absolute error = 4.996003610813204e-16 relative error = 1.2709260899548e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9194959563093154 y1[1] (numeric) = 0.9194959563093155 absolute error = 1.110223024625157e-16 relative error = 1.207425673823933e-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) = 0.3940187603707807 y2[1] (numeric) = 0.3940187603707802 absolute error = 4.996003610813204e-16 relative error = 1.267960846867254e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9191023971657746 y1[1] (numeric) = 0.9191023971657748 absolute error = 2.220446049250313e-16 relative error = 2.415885385673541e-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) = 0.3949376656053989 y2[1] (numeric) = 0.3949376656053984 absolute error = 4.996003610813204e-16 relative error = 1.265010670267381e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9187079189199133 y1[1] (numeric) = 0.9187079189199135 absolute error = 2.220446049250313e-16 relative error = 2.416922727585498e-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) = 0.3958561759023845 y2[1] (numeric) = 0.395856175902384 absolute error = 4.996003610813204e-16 relative error = 1.2620754493534e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9183125219662097 y1[1] (numeric) = 0.9183125219662099 absolute error = 2.220446049250313e-16 relative error = 2.417963379717495e-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) = 0.3967742903432272 y2[1] (numeric) = 0.3967742903432267 absolute error = 4.996003610813204e-16 relative error = 1.259155074410553e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9179162067000607 y1[1] (numeric) = 0.9179162067000609 absolute error = 2.220446049250313e-16 relative error = 2.419007348429864e-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) = 0.3976920080098126 y2[1] (numeric) = 0.3976920080098121 absolute error = 4.996003610813204e-16 relative error = 1.256249436797818e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9175189735177813 y1[1] (numeric) = 0.9175189735177817 absolute error = 3.33066907387547e-16 relative error = 3.630081960164415e-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) = 0.3986093279844231 y2[1] (numeric) = 0.3986093279844226 absolute error = 4.996003610813204e-16 relative error = 1.253358428934819e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.917120822816605 y1[1] (numeric) = 0.9171208228166053 absolute error = 3.33066907387547e-16 relative error = 3.631657891755771e-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) = 0.3995262493497389 y2[1] (numeric) = 0.3995262493497383 absolute error = 5.551115123125783e-16 relative error = 1.389424382543242e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9167217549946822 y1[1] (numeric) = 0.9167217549946826 absolute error = 3.33066907387547e-16 relative error = 3.633238827079859e-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) = 0.4004427711888386 y2[1] (numeric) = 0.400442771188838 absolute error = 5.551115123125783e-16 relative error = 1.386244308180561e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.916321770451081 y1[1] (numeric) = 0.9163217704510812 absolute error = 2.220446049250313e-16 relative error = 2.423216517225435e-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) = 0.4013588925852005 y2[1] (numeric) = 0.4013588925851999 absolute error = 5.551115123125783e-16 relative error = 1.383080137422741e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9159208695857856 y1[1] (numeric) = 0.9159208695857858 absolute error = 2.220446049250313e-16 relative error = 2.424277165181839e-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) = 0.4022746126227032 y2[1] (numeric) = 0.4022746126227026 absolute error = 5.551115123125783e-16 relative error = 1.37993175530871e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9155190527996968 y1[1] (numeric) = 0.9155190527996971 absolute error = 3.33066907387547e-16 relative error = 3.638011752666577e-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) = 0.4031899303856269 y2[1] (numeric) = 0.4031899303856263 absolute error = 6.106226635438361e-16 relative error = 1.514478952784888e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9151163204946317 y1[1] (numeric) = 0.915116320494632 absolute error = 3.33066907387547e-16 relative error = 3.63961280034346e-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) = 0.4041048449586537 y2[1] (numeric) = 0.4041048449586531 absolute error = 6.106226635438361e-16 relative error = 1.511050092968602e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9147126730733222 y1[1] (numeric) = 0.9147126730733226 absolute error = 4.440892098500626e-16 relative error = 4.854958534224495e-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) = 0.4050193554268693 y2[1] (numeric) = 0.4050193554268687 absolute error = 6.106226635438361e-16 relative error = 1.507638228549032e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9143081109394159 y1[1] (numeric) = 0.9143081109394163 absolute error = 4.440892098500626e-16 relative error = 4.857106751396729e-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) = 0.4059334608757632 y2[1] (numeric) = 0.4059334608757626 absolute error = 6.106226635438361e-16 relative error = 1.504243237860893e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9139026344974749 y1[1] (numeric) = 0.9139026344974753 absolute error = 4.440892098500626e-16 relative error = 4.859261731904873e-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) = 0.40684716039123 y2[1] (numeric) = 0.4068471603912294 absolute error = 6.106226635438361e-16 relative error = 1.500865000401263e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9134962441529756 y1[1] (numeric) = 0.9134962441529759 absolute error = 3.33066907387547e-16 relative error = 3.646067616800962e-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) = 0.4077604530595704 y2[1] (numeric) = 0.4077604530595698 absolute error = 6.106226635438361e-16 relative error = 1.497503396815751e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9130889403123081 y1[1] (numeric) = 0.9130889403123086 absolute error = 4.440892098500626e-16 relative error = 4.863592036260659e-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) = 0.4086733379674917 y2[1] (numeric) = 0.4086733379674911 absolute error = 6.106226635438361e-16 relative error = 1.494158308884855e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9126807233827765 y1[1] (numeric) = 0.9126807233827769 absolute error = 4.440892098500626e-16 relative error = 4.8657673869136e-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) = 0.4095858142021091 y2[1] (numeric) = 0.4095858142021085 absolute error = 6.106226635438361e-16 relative error = 1.490829619510518e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9122715937725976 y1[1] (numeric) = 0.912271593772598 absolute error = 4.440892098500626e-16 relative error = 4.867949554513488e-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) = 0.4104978808509464 y2[1] (numeric) = 0.4104978808509458 absolute error = 6.106226635438361e-16 relative error = 1.487517212702874e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9118615518909009 y1[1] (numeric) = 0.9118615518909013 absolute error = 4.440892098500626e-16 relative error = 4.870138552603383e-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) = 0.4114095370019371 y2[1] (numeric) = 0.4114095370019364 absolute error = 6.106226635438361e-16 relative error = 1.484220973567176e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9114505981477283 y1[1] (numeric) = 0.9114505981477288 absolute error = 4.440892098500626e-16 relative error = 4.872334394782902e-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) = 0.412320781743425 y2[1] (numeric) = 0.4123207817434244 absolute error = 6.106226635438361e-16 relative error = 1.48094078829092e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9110387329540336 y1[1] (numeric) = 0.911038732954034 absolute error = 4.440892098500626e-16 relative error = 4.874537094708454e-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) = 0.4132316141641655 y2[1] (numeric) = 0.413231614164165 absolute error = 5.551115123125783e-16 relative error = 1.343342312846489e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9106259567216818 y1[1] (numeric) = 0.9106259567216822 absolute error = 4.440892098500626e-16 relative error = 4.876746666093457e-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) = 0.4141420333533264 y2[1] (numeric) = 0.4141420333533258 absolute error = 5.551115123125783e-16 relative error = 1.340389208547164e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9102122698634491 y1[1] (numeric) = 0.9102122698634496 absolute error = 5.551115123125783e-16 relative error = 6.098703903385709e-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) = 0.4150520384004884 y2[1] (numeric) = 0.4150520384004878 absolute error = 5.551115123125783e-16 relative error = 1.337450394056239e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9097976727930225 y1[1] (numeric) = 0.9097976727930229 absolute error = 4.440892098500626e-16 relative error = 4.881186478381905e-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) = 0.4159616283956465 y2[1] (numeric) = 0.415961628395646 absolute error = 5.551115123125783e-16 relative error = 1.33452576972936e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9093821659249988 y1[1] (numeric) = 0.9093821659249993 absolute error = 5.551115123125783e-16 relative error = 6.104270933749112e-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) = 0.416870802429211 y2[1] (numeric) = 0.4168708024292104 absolute error = 5.551115123125783e-16 relative error = 1.331615236849892e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.908965749674885 y1[1] (numeric) = 0.9089657496748855 absolute error = 5.551115123125783e-16 relative error = 6.107067428130578e-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) = 0.4177795595920077 y2[1] (numeric) = 0.4177795595920072 absolute error = 5.551115123125783e-16 relative error = 1.328718697618153e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9085484244590973 y1[1] (numeric) = 0.9085484244590978 absolute error = 4.440892098500626e-16 relative error = 4.88789807889932e-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) = 0.4186878989752797 y2[1] (numeric) = 0.4186878989752792 absolute error = 5.551115123125783e-16 relative error = 1.325836055140809e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9081301906949608 y1[1] (numeric) = 0.9081301906949614 absolute error = 5.551115123125783e-16 relative error = 6.11268646280519e-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) = 0.4195958196706877 y2[1] (numeric) = 0.4195958196706871 absolute error = 5.551115123125783e-16 relative error = 1.3229672134204e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9077110488007094 y1[1] (numeric) = 0.9077110488007099 absolute error = 4.440892098500626e-16 relative error = 4.892407230657866e-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) = 0.4205033207703108 y2[1] (numeric) = 0.4205033207703103 absolute error = 5.551115123125783e-16 relative error = 1.320112077345029e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9072909991954847 y1[1] (numeric) = 0.9072909991954852 absolute error = 4.440892098500626e-16 relative error = 4.894672274318234e-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) = 0.4214104013666483 y2[1] (numeric) = 0.4214104013666478 absolute error = 5.551115123125783e-16 relative error = 1.317270552678179e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9068700422993365 y1[1] (numeric) = 0.906870042299337 absolute error = 4.440892098500626e-16 relative error = 4.896944315462118e-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) = 0.4223170605526195 y2[1] (numeric) = 0.422317060552619 absolute error = 5.551115123125783e-16 relative error = 1.314442546048676e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9064481785332216 y1[1] (numeric) = 0.906448178533222 absolute error = 4.440892098500626e-16 relative error = 4.899223368385715e-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) = 0.4232232974215653 y2[1] (numeric) = 0.4232232974215648 absolute error = 4.996003610813204e-16 relative error = 1.180465168446711e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9060254083190036 y1[1] (numeric) = 0.906025408319004 absolute error = 4.440892098500626e-16 relative error = 4.901509447444797e-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) = 0.424129111067249 y2[1] (numeric) = 0.4241291110672485 absolute error = 4.996003610813204e-16 relative error = 1.17794404591602e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9056017320794528 y1[1] (numeric) = 0.9056017320794533 absolute error = 4.440892098500626e-16 relative error = 4.903802567054946e-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) = 0.4250345005838571 y2[1] (numeric) = 0.4250345005838565 absolute error = 5.551115123125783e-16 relative error = 1.306038713445705e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9051771502382455 y1[1] (numeric) = 0.9051771502382459 absolute error = 3.33066907387547e-16 relative error = 3.67957705626885e-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) = 0.4259394650659998 y2[1] (numeric) = 0.4259394650659993 absolute error = 4.996003610813204e-16 relative error = 1.172937475995343e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9047516632199633 y1[1] (numeric) = 0.9047516632199637 absolute error = 4.440892098500626e-16 relative error = 4.908409985891296e-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) = 0.4268440036087131 y2[1] (numeric) = 0.4268440036087126 absolute error = 5.551115123125783e-16 relative error = 1.300502074808219e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9043252714500933 y1[1] (numeric) = 0.9043252714500937 absolute error = 3.33066907387547e-16 relative error = 3.683043235687435e-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) = 0.4277481153074583 y2[1] (numeric) = 0.4277481153074578 absolute error = 5.551115123125783e-16 relative error = 1.297753262836876e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9038979753550273 y1[1] (numeric) = 0.9038979753550276 absolute error = 3.33066907387547e-16 relative error = 3.684784306068692e-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) = 0.4286517992581239 y2[1] (numeric) = 0.4286517992581233 absolute error = 5.551115123125783e-16 relative error = 1.295017338719494e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9034697753620611 y1[1] (numeric) = 0.9034697753620614 absolute error = 3.33066907387547e-16 relative error = 3.686530711600972e-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) = 0.4295550545570259 y2[1] (numeric) = 0.4295550545570253 absolute error = 5.551115123125783e-16 relative error = 1.29229421566237e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9030406718993949 y1[1] (numeric) = 0.9030406718993952 absolute error = 3.33066907387547e-16 relative error = 3.68828246336897e-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) = 0.4304578803009091 y2[1] (numeric) = 0.4304578803009085 absolute error = 5.551115123125783e-16 relative error = 1.289583807652751e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.902610665396132 y1[1] (numeric) = 0.9026106653961323 absolute error = 3.33066907387547e-16 relative error = 3.69003957250353e-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) = 0.4313602755869479 y2[1] (numeric) = 0.4313602755869473 absolute error = 5.551115123125783e-16 relative error = 1.286886029450077e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.902179756282279 y1[1] (numeric) = 0.9021797562822793 absolute error = 3.33066907387547e-16 relative error = 3.69180205018184e-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) = 0.4322622395127471 y2[1] (numeric) = 0.4322622395127465 absolute error = 5.551115123125783e-16 relative error = 1.284200796577348e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9017479449887449 y1[1] (numeric) = 0.9017479449887452 absolute error = 3.33066907387547e-16 relative error = 3.693569907627614e-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) = 0.4331637711763427 y2[1] (numeric) = 0.4331637711763422 absolute error = 5.551115123125783e-16 relative error = 1.281528025312602e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9013152319473409 y1[1] (numeric) = 0.9013152319473412 absolute error = 3.33066907387547e-16 relative error = 3.695343156111294e-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) = 0.4340648696762034 y2[1] (numeric) = 0.4340648696762028 absolute error = 6.106226635438361e-16 relative error = 1.406754395948556e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9008816175907801 y1[1] (numeric) = 0.9008816175907804 absolute error = 3.33066907387547e-16 relative error = 3.697121806950228e-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) = 0.4349655341112305 y2[1] (numeric) = 0.4349655341112299 absolute error = 5.551115123125783e-16 relative error = 1.276219536444062e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9004471023526768 y1[1] (numeric) = 0.9004471023526771 absolute error = 3.33066907387547e-16 relative error = 3.698905871508875e-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) = 0.4358657635807597 y2[1] (numeric) = 0.4358657635807591 absolute error = 5.551115123125783e-16 relative error = 1.273583655096425e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.9000116866675462 y1[1] (numeric) = 0.9000116866675465 absolute error = 3.33066907387547e-16 relative error = 3.700695361198993e-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) = 0.4367655571845617 y2[1] (numeric) = 0.4367655571845611 absolute error = 5.551115123125783e-16 relative error = 1.270959907852825e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8995753709708039 y1[1] (numeric) = 0.8995753709708042 absolute error = 3.33066907387547e-16 relative error = 3.702490287479834e-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) = 0.4376649140228429 y2[1] (numeric) = 0.4376649140228423 absolute error = 5.551115123125783e-16 relative error = 1.268348214642596e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8991381556987655 y1[1] (numeric) = 0.8991381556987659 absolute error = 3.33066907387547e-16 relative error = 3.704290661858342e-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) = 0.4385638331962465 y2[1] (numeric) = 0.4385638331962459 absolute error = 6.106226635438361e-16 relative error = 1.39232334571145e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8987000412886464 y1[1] (numeric) = 0.8987000412886468 absolute error = 3.33066907387547e-16 relative error = 3.706096495889353e-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) = 0.4394623138058535 y2[1] (numeric) = 0.4394623138058529 absolute error = 5.551115123125783e-16 relative error = 1.26316067356305e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.898261028178561 y1[1] (numeric) = 0.8982610281785613 absolute error = 3.33066907387547e-16 relative error = 3.707907801175786e-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) = 0.4403603549531833 y2[1] (numeric) = 0.4403603549531828 absolute error = 5.551115123125783e-16 relative error = 1.260584669052678e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8978211168075222 y1[1] (numeric) = 0.8978211168075225 absolute error = 3.33066907387547e-16 relative error = 3.709724589368852e-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) = 0.4412579557401949 y2[1] (numeric) = 0.4412579557401943 absolute error = 5.551115123125783e-16 relative error = 1.258020405278355e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8973803076154414 y1[1] (numeric) = 0.8973803076154417 absolute error = 3.33066907387547e-16 relative error = 3.711546872168246e-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) = 0.4421551152692874 y2[1] (numeric) = 0.4421551152692869 absolute error = 4.996003610813204e-16 relative error = 1.129921025061639e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8969386010431277 y1[1] (numeric) = 0.8969386010431282 absolute error = 4.440892098500626e-16 relative error = 4.951166215096471e-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) = 0.4430518326433016 y2[1] (numeric) = 0.4430518326433011 absolute error = 5.551115123125783e-16 relative error = 1.252926794142155e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8964959975322878 y1[1] (numeric) = 0.8964959975322883 absolute error = 4.440892098500626e-16 relative error = 4.953610624837937e-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) = 0.44394810696552 y2[1] (numeric) = 0.4439481069655195 absolute error = 4.996003610813204e-16 relative error = 1.125357565991655e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8960524975255251 y1[1] (numeric) = 0.8960524975255255 absolute error = 4.440892098500626e-16 relative error = 4.956062407910562e-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) = 0.4448439373396685 y2[1] (numeric) = 0.444843937339668 absolute error = 4.996003610813204e-16 relative error = 1.123091311683634e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8956081014663395 y1[1] (numeric) = 0.89560810146634 absolute error = 4.440892098500626e-16 relative error = 4.958521580175246e-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) = 0.4457393228699167 y2[1] (numeric) = 0.4457393228699162 absolute error = 4.996003610813204e-16 relative error = 1.120835285216966e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8951628097991271 y1[1] (numeric) = 0.8951628097991275 absolute error = 4.440892098500626e-16 relative error = 4.960988157558907e-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) = 0.4466342626608792 y2[1] (numeric) = 0.4466342626608786 absolute error = 5.551115123125783e-16 relative error = 1.242877133978554e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8947166229691794 y1[1] (numeric) = 0.8947166229691799 absolute error = 4.440892098500626e-16 relative error = 4.963462156054748e-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) = 0.4475287558176162 y2[1] (numeric) = 0.4475287558176156 absolute error = 5.551115123125783e-16 relative error = 1.240392947037365e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8942695414226834 y1[1] (numeric) = 0.8942695414226838 absolute error = 3.33066907387547e-16 relative error = 3.724457693791902e-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) = 0.4484228014456347 y2[1] (numeric) = 0.4484228014456341 absolute error = 5.551115123125783e-16 relative error = 1.237919906220197e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8938215656067204 y1[1] (numeric) = 0.8938215656067209 absolute error = 4.440892098500626e-16 relative error = 4.968432480688891e-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) = 0.4493163986508891 y2[1] (numeric) = 0.4493163986508886 absolute error = 5.551115123125783e-16 relative error = 1.235457940060385e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8933726959692664 y1[1] (numeric) = 0.8933726959692668 absolute error = 4.440892098500626e-16 relative error = 4.970928839147554e-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) = 0.4502095465397823 y2[1] (numeric) = 0.4502095465397818 absolute error = 5.551115123125783e-16 relative error = 1.233006977704162e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8929229329591908 y1[1] (numeric) = 0.8929229329591912 absolute error = 4.440892098500626e-16 relative error = 4.973432683359683e-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) = 0.4511022442191666 y2[1] (numeric) = 0.451102244219166 absolute error = 5.551115123125783e-16 relative error = 1.230566948904114e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8924722770262566 y1[1] (numeric) = 0.8924722770262571 absolute error = 4.440892098500626e-16 relative error = 4.975944029654127e-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) = 0.4519944907963441 y2[1] (numeric) = 0.4519944907963436 absolute error = 5.551115123125783e-16 relative error = 1.228137784012717e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8920207286211199 y1[1] (numeric) = 0.8920207286211203 absolute error = 3.33066907387547e-16 relative error = 3.733847170820792e-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) = 0.4528862853790686 y2[1] (numeric) = 0.452886285379068 absolute error = 5.551115123125783e-16 relative error = 1.225719413975953e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8915682881953289 y1[1] (numeric) = 0.8915682881953292 absolute error = 3.33066907387547e-16 relative error = 3.735741970609178e-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) = 0.4537776270755454 y2[1] (numeric) = 0.4537776270755448 absolute error = 5.551115123125783e-16 relative error = 1.223311770327017e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8911149562013239 y1[1] (numeric) = 0.8911149562013242 absolute error = 3.33066907387547e-16 relative error = 3.737642434006004e-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) = 0.4546685149944329 y2[1] (numeric) = 0.4546685149944323 absolute error = 5.551115123125783e-16 relative error = 1.220914785180089e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8906607330924369 y1[1] (numeric) = 0.8906607330924373 absolute error = 4.440892098500626e-16 relative error = 4.986064764617539e-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) = 0.4555589482448433 y2[1] (numeric) = 0.4555589482448428 absolute error = 5.551115123125783e-16 relative error = 1.218528391224202e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8902056193228911 y1[1] (numeric) = 0.8902056193228916 absolute error = 4.440892098500626e-16 relative error = 4.988613868645831e-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) = 0.4564489259363435 y2[1] (numeric) = 0.456448925936343 absolute error = 5.551115123125783e-16 relative error = 1.216152521717171e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8897496153478002 y1[1] (numeric) = 0.8897496153478006 absolute error = 4.440892098500626e-16 relative error = 4.991170574167313e-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) = 0.4573384471789558 y2[1] (numeric) = 0.4573384471789552 absolute error = 5.551115123125783e-16 relative error = 1.213787110479614e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8892927216231681 y1[1] (numeric) = 0.8892927216231685 absolute error = 4.440892098500626e-16 relative error = 4.993734897992818e-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) = 0.458227511083159 y2[1] (numeric) = 0.4582275110831584 absolute error = 5.551115123125783e-16 relative error = 1.211432091889037e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8888349386058885 y1[1] (numeric) = 0.8888349386058889 absolute error = 4.440892098500626e-16 relative error = 4.996306857003208e-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) = 0.4591161167598892 y2[1] (numeric) = 0.4591161167598887 absolute error = 5.551115123125783e-16 relative error = 1.209087400874e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8883762667537443 y1[1] (numeric) = 0.8883762667537447 absolute error = 4.440892098500626e-16 relative error = 4.998886468149684e-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) = 0.460004263320541 y2[1] (numeric) = 0.4600042633205405 absolute error = 5.551115123125783e-16 relative error = 1.20675297290835e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8879167065254073 y1[1] (numeric) = 0.8879167065254078 absolute error = 4.440892098500626e-16 relative error = 5.001473748454075e-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) = 0.4608919498769679 y2[1] (numeric) = 0.4608919498769672 absolute error = 6.106226635438361e-16 relative error = 1.324871618406088e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.887456258380438 y1[1] (numeric) = 0.8874562583804383 absolute error = 3.33066907387547e-16 relative error = 3.753051536256862e-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) = 0.4617791755414832 y2[1] (numeric) = 0.4617791755414826 absolute error = 6.106226635438361e-16 relative error = 1.322326115784279e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.886994922779284 y1[1] (numeric) = 0.8869949227792844 absolute error = 3.33066907387547e-16 relative error = 3.755003538734188e-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) = 0.4626659394268615 y2[1] (numeric) = 0.4626659394268609 absolute error = 6.106226635438361e-16 relative error = 1.319791693117197e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8865327001832813 y1[1] (numeric) = 0.8865327001832817 absolute error = 3.33066907387547e-16 relative error = 3.756961331699201e-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) = 0.4635522406463388 y2[1] (numeric) = 0.4635522406463383 absolute error = 5.551115123125783e-16 relative error = 1.197516619785025e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8860695910546523 y1[1] (numeric) = 0.8860695910546527 absolute error = 3.33066907387547e-16 relative error = 3.758924928132463e-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) = 0.4644380783136142 y2[1] (numeric) = 0.4644380783136137 absolute error = 5.551115123125783e-16 relative error = 1.195232557864767e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.885605595856506 y1[1] (numeric) = 0.8856055958565064 absolute error = 4.440892098500626e-16 relative error = 5.014525788091543e-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) = 0.46532345154285 y2[1] (numeric) = 0.4653234515428494 absolute error = 5.551115123125783e-16 relative error = 1.1929583829743e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8851407150528378 y1[1] (numeric) = 0.8851407150528382 absolute error = 4.440892098500626e-16 relative error = 5.01715944479577e-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) = 0.466208359448673 y2[1] (numeric) = 0.4662083594486724 absolute error = 5.551115123125783e-16 relative error = 1.190694034249064e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8846749491085282 y1[1] (numeric) = 0.8846749491085286 absolute error = 4.440892098500626e-16 relative error = 5.019800891814148e-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) = 0.4670928011461754 y2[1] (numeric) = 0.4670928011461749 absolute error = 5.551115123125783e-16 relative error = 1.188439451326199e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8842082984893432 y1[1] (numeric) = 0.8842082984893437 absolute error = 4.440892098500626e-16 relative error = 5.022450146744635e-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) = 0.4679767757509156 y2[1] (numeric) = 0.4679767757509151 absolute error = 5.551115123125783e-16 relative error = 1.186194574339392e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8837407636619334 y1[1] (numeric) = 0.8837407636619339 absolute error = 4.440892098500626e-16 relative error = 5.025107227258611e-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) = 0.4688602823789191 y2[1] (numeric) = 0.4688602823789185 absolute error = 5.551115123125783e-16 relative error = 1.183959343913788e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8832723450938336 y1[1] (numeric) = 0.8832723450938341 absolute error = 5.551115123125783e-16 relative error = 6.284715188876502e-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) = 0.4697433201466792 y2[1] (numeric) = 0.4697433201466786 absolute error = 5.551115123125783e-16 relative error = 1.181733701160971e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8828030432534624 y1[1] (numeric) = 0.8828030432534628 absolute error = 4.440892098500626e-16 relative error = 5.030444936091592e-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) = 0.4706258881711583 y2[1] (numeric) = 0.4706258881711577 absolute error = 5.551115123125783e-16 relative error = 1.179517587674e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8823328586101213 y1[1] (numeric) = 0.8823328586101219 absolute error = 5.551115123125783e-16 relative error = 6.2914070001542e-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) = 0.4715079855697885 y2[1] (numeric) = 0.4715079855697879 absolute error = 6.106226635438361e-16 relative error = 1.295042040074753e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8818617916339953 y1[1] (numeric) = 0.8818617916339958 absolute error = 5.551115123125783e-16 relative error = 6.294767701455987e-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) = 0.4723896114604724 y2[1] (numeric) = 0.4723896114604718 absolute error = 6.106226635438361e-16 relative error = 1.292625088972623e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8813898427961511 y1[1] (numeric) = 0.8813898427961516 absolute error = 5.551115123125783e-16 relative error = 6.298138296574007e-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) = 0.4732707649615842 y2[1] (numeric) = 0.4732707649615836 absolute error = 6.106226635438361e-16 relative error = 1.290218430444147e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8809170125685375 y1[1] (numeric) = 0.880917012568538 absolute error = 5.551115123125783e-16 relative error = 6.301518808156622e-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) = 0.4741514451919705 y2[1] (numeric) = 0.4741514451919699 absolute error = 6.106226635438361e-16 relative error = 1.287822002306905e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8804433014239849 y1[1] (numeric) = 0.8804433014239853 absolute error = 4.440892098500626e-16 relative error = 5.043927407157451e-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) = 0.4750316512709511 y2[1] (numeric) = 0.4750316512709505 absolute error = 6.106226635438361e-16 relative error = 1.285435742881785e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8799687098362041 y1[1] (numeric) = 0.8799687098362046 absolute error = 4.440892098500626e-16 relative error = 5.04664773742608e-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) = 0.47591138231832 y2[1] (numeric) = 0.4759113823183194 absolute error = 6.106226635438361e-16 relative error = 1.283059590987913e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8794932382797868 y1[1] (numeric) = 0.8794932382797873 absolute error = 5.551115123125783e-16 relative error = 6.31172006959745e-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) = 0.4767906374543462 y2[1] (numeric) = 0.4767906374543457 absolute error = 5.551115123125783e-16 relative error = 1.164266805397854e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8790168872302045 y1[1] (numeric) = 0.8790168872302051 absolute error = 5.551115123125783e-16 relative error = 6.315140475420705e-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) = 0.4776694157997748 y2[1] (numeric) = 0.4776694157997742 absolute error = 5.551115123125783e-16 relative error = 1.162124879574172e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8785396571638083 y1[1] (numeric) = 0.8785396571638089 absolute error = 5.551115123125783e-16 relative error = 6.318570912378003e-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) = 0.4785477164758273 y2[1] (numeric) = 0.4785477164758268 absolute error = 5.551115123125783e-16 relative error = 1.159991978230698e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8780615485578281 y1[1] (numeric) = 0.8780615485578287 absolute error = 5.551115123125783e-16 relative error = 6.3220114036917e-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) = 0.4794255386042033 y2[1] (numeric) = 0.4794255386042027 absolute error = 5.551115123125783e-16 relative error = 1.157868047515213e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8775825618903725 y1[1] (numeric) = 0.8775825618903731 absolute error = 5.551115123125783e-16 relative error = 6.325461972681297e-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) = 0.4803028813070806 y2[1] (numeric) = 0.48030288130708 absolute error = 5.551115123125783e-16 relative error = 1.1557530340062e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8771026976404283 y1[1] (numeric) = 0.8771026976404288 absolute error = 5.551115123125783e-16 relative error = 6.328922642763875e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5020000000000003 y2[1] (analytic) = 0.4811797437071166 y2[1] (numeric) = 0.4811797437071161 absolute error = 4.996003610813204e-16 relative error = 1.038282196237704e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8766219562878593 y1[1] (numeric) = 0.8766219562878599 absolute error = 5.551115123125783e-16 relative error = 6.332393437454519e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5030000000000003 y2[1] (analytic) = 0.482056124927449 y2[1] (numeric) = 0.4820561249274485 absolute error = 4.996003610813204e-16 relative error = 1.036394592344433e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8761403383134072 y1[1] (numeric) = 0.8761403383134078 absolute error = 5.551115123125783e-16 relative error = 6.335874380366761e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5040000000000003 y2[1] (analytic) = 0.4829320240916967 y2[1] (numeric) = 0.4829320240916961 absolute error = 5.551115123125783e-16 relative error = 1.149460968873699e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8756578441986899 y1[1] (numeric) = 0.8756578441986903 absolute error = 4.440892098500626e-16 relative error = 5.071492396170407e-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) = 0.4838074403239604 y2[1] (numeric) = 0.4838074403239599 absolute error = 5.551115123125783e-16 relative error = 1.147381098440471e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8751744744262012 y1[1] (numeric) = 0.8751744744262017 absolute error = 4.440892098500626e-16 relative error = 5.074293444643995e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5060000000000003 y2[1] (analytic) = 0.4846823727488243 y2[1] (numeric) = 0.4846823727488237 absolute error = 5.551115123125783e-16 relative error = 1.145309884418372e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8746902294793111 y1[1] (numeric) = 0.8746902294793115 absolute error = 4.440892098500626e-16 relative error = 5.077102668843365e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5070000000000003 y2[1] (analytic) = 0.4855568204913557 y2[1] (numeric) = 0.4855568204913551 absolute error = 5.551115123125783e-16 relative error = 1.143247275881816e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8742051098422643 y1[1] (numeric) = 0.8742051098422648 absolute error = 5.551115123125783e-16 relative error = 6.349900109972348e-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) = 0.4864307826771071 y2[1] (numeric) = 0.4864307826771065 absolute error = 5.551115123125783e-16 relative error = 1.141193222306947e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8737191160001806 y1[1] (numeric) = 0.8737191160001812 absolute error = 5.551115123125783e-16 relative error = 6.353432151671768e-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) = 0.4873042584321163 y2[1] (numeric) = 0.4873042584321158 absolute error = 4.996003610813204e-16 relative error = 1.025232906210929e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8732322484390537 y1[1] (numeric) = 0.8732322484390542 absolute error = 5.551115123125783e-16 relative error = 6.356974485365925e-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) = 0.4881772468829078 y2[1] (numeric) = 0.4881772468829073 absolute error = 5.551115123125783e-16 relative error = 1.137110579931893e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8727445076457511 y1[1] (numeric) = 0.8727445076457516 absolute error = 5.551115123125783e-16 relative error = 6.360527135369831e-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) = 0.489049747156493 y2[1] (numeric) = 0.4890497471564925 absolute error = 4.996003610813204e-16 relative error = 1.021573702851647e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8722558941080136 y1[1] (numeric) = 0.8722558941080141 absolute error = 4.440892098500626e-16 relative error = 5.091272100880409e-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) = 0.4899217583803719 y2[1] (numeric) = 0.4899217583803713 absolute error = 5.551115123125783e-16 relative error = 1.133061560988262e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8717664083144547 y1[1] (numeric) = 0.8717664083144552 absolute error = 4.440892098500626e-16 relative error = 5.094130785661969e-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) = 0.4907932796825332 y2[1] (numeric) = 0.4907932796825326 absolute error = 5.551115123125783e-16 relative error = 1.13104953815107e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.87127605075456 y1[1] (numeric) = 0.8712760507545606 absolute error = 5.551115123125783e-16 relative error = 6.371247227923107e-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) = 0.4916643101914557 y2[1] (numeric) = 0.4916643101914551 absolute error = 5.551115123125783e-16 relative error = 1.129045775351105e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8707848219186873 y1[1] (numeric) = 0.8707848219186879 absolute error = 5.551115123125783e-16 relative error = 6.374841388363264e-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) = 0.4925348490361089 y2[1] (numeric) = 0.4925348490361084 absolute error = 5.551115123125783e-16 relative error = 1.127050224768728e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8702927222980653 y1[1] (numeric) = 0.8702927222980658 absolute error = 4.440892098500626e-16 relative error = 5.10275679058209e-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) = 0.4934048953459542 y2[1] (numeric) = 0.4934048953459537 absolute error = 5.551115123125783e-16 relative error = 1.125062838955738e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8697997523847935 y1[1] (numeric) = 0.8697997523847939 absolute error = 4.440892098500626e-16 relative error = 5.105648841960128e-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) = 0.4942744482509453 y2[1] (numeric) = 0.4942744482509447 absolute error = 5.551115123125783e-16 relative error = 1.123083570831777e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8693059126718417 y1[1] (numeric) = 0.8693059126718421 absolute error = 4.440892098500626e-16 relative error = 5.108549284855767e-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) = 0.4951435068815293 y2[1] (numeric) = 0.4951435068815287 absolute error = 5.551115123125783e-16 relative error = 1.121112373680783e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8688112036530496 y1[1] (numeric) = 0.8688112036530501 absolute error = 4.440892098500626e-16 relative error = 5.111458139384271e-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) = 0.4960120703686477 y2[1] (numeric) = 0.4960120703686471 absolute error = 5.551115123125783e-16 relative error = 1.119149201147477e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8683156258231264 y1[1] (numeric) = 0.8683156258231268 absolute error = 4.440892098500626e-16 relative error = 5.114375425745505e-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) = 0.496880137843737 y2[1] (numeric) = 0.4968801378437365 absolute error = 5.551115123125783e-16 relative error = 1.117194007233902e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8678191796776498 y1[1] (numeric) = 0.8678191796776501 absolute error = 3.33066907387547e-16 relative error = 3.837975873168236e-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) = 0.49774770843873 y2[1] (numeric) = 0.4977477084387294 absolute error = 5.551115123125783e-16 relative error = 1.115246746295989e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8673218657130657 y1[1] (numeric) = 0.867321865713066 absolute error = 3.33066907387547e-16 relative error = 3.840176531393189e-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) = 0.4986147812860559 y2[1] (numeric) = 0.4986147812860554 absolute error = 4.996003610813204e-16 relative error = 1.001976635736154e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8668236844266881 y1[1] (numeric) = 0.8668236844266886 absolute error = 4.440892098500626e-16 relative error = 5.123178079101294e-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) = 0.4994813555186421 y2[1] (numeric) = 0.4994813555186416 absolute error = 4.996003610813204e-16 relative error = 1.000238258268028e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8663246363166984 y1[1] (numeric) = 0.8663246363166989 absolute error = 4.440892098500626e-16 relative error = 5.126129296497565e-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) = 0.5003474302699145 y2[1] (numeric) = 0.5003474302699139 absolute error = 5.551115123125783e-16 relative error = 1.109452110132995e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8658247218821447 y1[1] (numeric) = 0.8658247218821451 absolute error = 4.440892098500626e-16 relative error = 5.129089048008399e-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) = 0.5012130046737981 y2[1] (numeric) = 0.5012130046737977 absolute error = 4.440892098500626e-16 relative error = 8.860289052936423e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8653239416229411 y1[1] (numeric) = 0.8653239416229416 absolute error = 4.440892098500626e-16 relative error = 5.1320573543494e-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) = 0.502078077864719 y2[1] (numeric) = 0.5020780778647186 absolute error = 4.440892098500626e-16 relative error = 8.845022904380202e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.864822296039868 y1[1] (numeric) = 0.8648222960398685 absolute error = 4.440892098500626e-16 relative error = 5.135034236323507e-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) = 0.5029426489776038 y2[1] (numeric) = 0.5029426489776034 absolute error = 3.33066907387547e-16 relative error = 6.622363565003185e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.864319785634571 y1[1] (numeric) = 0.8643197856345715 absolute error = 4.440892098500626e-16 relative error = 5.138019714821393e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5280000000000004 y2[1] (analytic) = 0.5038067171478816 y2[1] (numeric) = 0.5038067171478812 absolute error = 4.440892098500626e-16 relative error = 8.814674253731909e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8638164109095604 y1[1] (numeric) = 0.8638164109095609 absolute error = 4.440892098500626e-16 relative error = 5.141013810821866e-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) = 0.5046702815114842 y2[1] (numeric) = 0.5046702815114837 absolute error = 4.440892098500626e-16 relative error = 8.799591062109272e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8633121723682108 y1[1] (numeric) = 0.8633121723682113 absolute error = 5.551115123125783e-16 relative error = 6.430020681740347e-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) = 0.5055333412048473 y2[1] (numeric) = 0.5055333412048468 absolute error = 4.440892098500626e-16 relative error = 8.78456817094707e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8628070705147608 y1[1] (numeric) = 0.8628070705147614 absolute error = 5.551115123125783e-16 relative error = 6.433784924611156e-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) = 0.5063958953649114 y2[1] (numeric) = 0.5063958953649109 absolute error = 4.440892098500626e-16 relative error = 8.769605241962907e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8623011058543122 y1[1] (numeric) = 0.8623011058543127 absolute error = 5.551115123125783e-16 relative error = 6.43756001869683e-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) = 0.5072579431291222 y2[1] (numeric) = 0.5072579431291218 absolute error = 4.440892098500626e-16 relative error = 8.754701939423746e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8617942788928297 y1[1] (numeric) = 0.8617942788928301 absolute error = 4.440892098500626e-16 relative error = 5.153076792533318e-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) = 0.5081194836354322 y2[1] (numeric) = 0.5081194836354318 absolute error = 4.440892098500626e-16 relative error = 8.739857930121996e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8612865901371399 y1[1] (numeric) = 0.8612865901371405 absolute error = 5.551115123125783e-16 relative error = 6.44514286730262e-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) = 0.508980516022301 y2[1] (numeric) = 0.5089805160223005 absolute error = 4.440892098500626e-16 relative error = 8.725072883351882e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8607780400949319 y1[1] (numeric) = 0.8607780400949324 absolute error = 5.551115123125783e-16 relative error = 6.448950675500007e-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) = 0.5098410394286961 y2[1] (numeric) = 0.5098410394286956 absolute error = 4.440892098500626e-16 relative error = 8.710346470886065e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8602686292747556 y1[1] (numeric) = 0.860268629274756 absolute error = 4.440892098500626e-16 relative error = 5.162215553814271e-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) = 0.5107010529940943 y2[1] (numeric) = 0.5107010529940939 absolute error = 4.440892098500626e-16 relative error = 8.695678366952535e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8597583581860215 y1[1] (numeric) = 0.859758358186022 absolute error = 4.440892098500626e-16 relative error = 5.165279355783562e-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) = 0.511560555858482 y2[1] (numeric) = 0.5115605558584816 absolute error = 4.440892098500626e-16 relative error = 8.681068248211758e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8592472273390011 y1[1] (numeric) = 0.8592472273390015 absolute error = 4.440892098500626e-16 relative error = 5.168351968098408e-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) = 0.5124195471623566 y2[1] (numeric) = 0.5124195471623562 absolute error = 4.440892098500626e-16 relative error = 8.666515793734075e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8587352372448247 y1[1] (numeric) = 0.8587352372448253 absolute error = 5.551115123125783e-16 relative error = 6.464291765802041e-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) = 0.5132780260467267 y2[1] (numeric) = 0.5132780260467262 absolute error = 4.440892098500626e-16 relative error = 8.652020684977357e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8582223884154828 y1[1] (numeric) = 0.8582223884154833 absolute error = 4.440892098500626e-16 relative error = 5.174523711388779e-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) = 0.5141359916531134 y2[1] (numeric) = 0.514135991653113 absolute error = 4.440892098500626e-16 relative error = 8.637582605764911e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8577086813638239 y1[1] (numeric) = 0.8577086813638244 absolute error = 4.440892098500626e-16 relative error = 5.177622886408542e-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) = 0.5149934431235514 y2[1] (numeric) = 0.514993443123551 absolute error = 4.440892098500626e-16 relative error = 8.623201242263617e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8571941166035553 y1[1] (numeric) = 0.8571941166035557 absolute error = 4.440892098500626e-16 relative error = 5.180730959863201e-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) = 0.5158503796005892 y2[1] (numeric) = 0.5158503796005888 absolute error = 4.440892098500626e-16 relative error = 8.608876282962328e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8566786946492413 y1[1] (numeric) = 0.8566786946492418 absolute error = 5.551115123125783e-16 relative error = 6.479809942511331e-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) = 0.5167068002272903 y2[1] (numeric) = 0.5167068002272899 absolute error = 4.440892098500626e-16 relative error = 8.59460741865049e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8561624160163042 y1[1] (numeric) = 0.8561624160163047 absolute error = 5.551115123125783e-16 relative error = 6.483717363996122e-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) = 0.5175627041472344 y2[1] (numeric) = 0.5175627041472338 absolute error = 5.551115123125783e-16 relative error = 1.072549292799626e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8556452812210223 y1[1] (numeric) = 0.8556452812210229 absolute error = 5.551115123125783e-16 relative error = 6.487635992340464e-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) = 0.5184180905045173 y2[1] (numeric) = 0.5184180905045168 absolute error = 4.440892098500626e-16 relative error = 8.566236749529346e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8551272907805306 y1[1] (numeric) = 0.8551272907805312 absolute error = 5.551115123125783e-16 relative error = 6.491565855720634e-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) = 0.519272958443753 y2[1] (numeric) = 0.5192729584437525 absolute error = 4.440892098500626e-16 relative error = 8.552134337612842e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8546084452128193 y1[1] (numeric) = 0.8546084452128199 absolute error = 5.551115123125783e-16 relative error = 6.495506982432654e-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) = 0.5201273071100735 y2[1] (numeric) = 0.520127307110073 absolute error = 4.440892098500626e-16 relative error = 8.538086806430275e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.854088745036734 y1[1] (numeric) = 0.8540887450367346 absolute error = 5.551115123125783e-16 relative error = 6.499459400892856e-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) = 0.5209811356491302 y2[1] (numeric) = 0.5209811356491297 absolute error = 4.440892098500626e-16 relative error = 8.524093857961631e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8535681907719749 y1[1] (numeric) = 0.8535681907719754 absolute error = 5.551115123125783e-16 relative error = 6.503423139638443e-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) = 0.5218344432070947 y2[1] (numeric) = 0.5218344432070943 absolute error = 4.440892098500626e-16 relative error = 8.510155196364104e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8530467829390962 y1[1] (numeric) = 0.8530467829390966 absolute error = 4.440892098500626e-16 relative error = 5.205918581862452e-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) = 0.5226872289306594 y2[1] (numeric) = 0.522687228930659 absolute error = 4.440892098500626e-16 relative error = 8.496270527952314e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8525245220595056 y1[1] (numeric) = 0.852524522059506 absolute error = 4.440892098500626e-16 relative error = 5.209107754193908e-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) = 0.5235394919670389 y2[1] (numeric) = 0.5235394919670384 absolute error = 4.440892098500626e-16 relative error = 8.482439561178734e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8520014086554639 y1[1] (numeric) = 0.8520014086554644 absolute error = 4.440892098500626e-16 relative error = 5.212306051827731e-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) = 0.5243912314639699 y2[1] (numeric) = 0.5243912314639695 absolute error = 4.440892098500626e-16 relative error = 8.468662006614335e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8514774432500847 y1[1] (numeric) = 0.8514774432500851 absolute error = 4.440892098500626e-16 relative error = 5.215513497985062e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5530000000000004 y2[1] (analytic) = 0.5252424465697133 y2[1] (numeric) = 0.5252424465697128 absolute error = 5.551115123125783e-16 relative error = 1.056867197116181e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.850952626367333 y1[1] (numeric) = 0.8509526263673335 absolute error = 4.440892098500626e-16 relative error = 5.218730115986051e-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) = 0.5260931364330538 y2[1] (numeric) = 0.5260931364330532 absolute error = 5.551115123125783e-16 relative error = 1.055158248359351e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.850426958532026 y1[1] (numeric) = 0.8504269585320264 absolute error = 4.440892098500626e-16 relative error = 5.221955929250316e-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) = 0.5269433002033017 y2[1] (numeric) = 0.5269433002033012 absolute error = 5.551115123125783e-16 relative error = 1.053455869157856e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8499004402698312 y1[1] (numeric) = 0.8499004402698317 absolute error = 4.440892098500626e-16 relative error = 5.225190961297427e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5560000000000004 y2[1] (analytic) = 0.5277929370302933 y2[1] (numeric) = 0.5277929370302927 absolute error = 5.551115123125783e-16 relative error = 1.051760024368642e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8493730721072672 y1[1] (numeric) = 0.8493730721072675 absolute error = 3.33066907387547e-16 relative error = 3.921326426810526e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5570000000000004 y2[1] (analytic) = 0.5286420460643919 y2[1] (numeric) = 0.5286420460643914 absolute error = 5.551115123125783e-16 relative error = 1.050070679101757e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8488448545717017 y1[1] (numeric) = 0.8488448545717021 absolute error = 4.440892098500626e-16 relative error = 5.231688776321027e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5580000000000004 y2[1] (analytic) = 0.5294906264564885 y2[1] (numeric) = 0.5294906264564879 absolute error = 5.551115123125783e-16 relative error = 1.048387798718086e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8483157881913523 y1[1] (numeric) = 0.8483157881913528 absolute error = 4.440892098500626e-16 relative error = 5.234951606840666e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5590000000000004 y2[1] (analytic) = 0.5303386773580027 y2[1] (numeric) = 0.5303386773580021 absolute error = 5.551115123125783e-16 relative error = 1.046711348827106e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8477858734952856 y1[1] (numeric) = 0.847785873495286 absolute error = 4.440892098500626e-16 relative error = 5.238223751230412e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y2[1] (analytic) = 0.5311861979208837 y2[1] (numeric) = 0.5311861979208832 absolute error = 5.551115123125783e-16 relative error = 1.045041295284668e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8472551110134159 y1[1] (numeric) = 0.8472551110134163 absolute error = 4.440892098500626e-16 relative error = 5.24150523351674e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5610000000000004 y2[1] (analytic) = 0.5320331872976112 y2[1] (numeric) = 0.5320331872976106 absolute error = 5.551115123125783e-16 relative error = 1.043377604190803e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8467235012765059 y1[1] (numeric) = 0.8467235012765063 absolute error = 4.440892098500626e-16 relative error = 5.244796077828965e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5620000000000004 y2[1] (analytic) = 0.5328796446411956 y2[1] (numeric) = 0.5328796446411951 absolute error = 5.551115123125783e-16 relative error = 1.041720241887551e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8461910448161651 y1[1] (numeric) = 0.8461910448161656 absolute error = 4.440892098500626e-16 relative error = 5.248096308399729e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5630000000000004 y2[1] (analytic) = 0.5337255691051798 y2[1] (numeric) = 0.5337255691051793 absolute error = 4.440892098500626e-16 relative error = 8.320553399654482e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.84565774216485 y1[1] (numeric) = 0.8456577421648505 absolute error = 4.440892098500626e-16 relative error = 5.251405949565506e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5640000000000004 y2[1] (analytic) = 0.5345709598436394 y2[1] (numeric) = 0.5345709598436389 absolute error = 5.551115123125783e-16 relative error = 1.038424370218216e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8451235938558632 y1[1] (numeric) = 0.8451235938558637 absolute error = 4.440892098500626e-16 relative error = 5.25472502576709e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5650000000000004 y2[1] (analytic) = 0.5354158160111837 y2[1] (numeric) = 0.5354158160111832 absolute error = 5.551115123125783e-16 relative error = 1.036785794727034e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.844588600423353 y1[1] (numeric) = 0.8445886004233535 absolute error = 4.440892098500626e-16 relative error = 5.2580535615501e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5660000000000004 y2[1] (analytic) = 0.5362601367629566 y2[1] (numeric) = 0.536260136762956 absolute error = 5.551115123125783e-16 relative error = 1.035153415772082e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8440527624023128 y1[1] (numeric) = 0.8440527624023132 absolute error = 4.440892098500626e-16 relative error = 5.261391581565491e-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) = 0.5371039212546374 y2[1] (numeric) = 0.5371039212546369 absolute error = 4.440892098500626e-16 relative error = 8.268217606989373e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8435160803285805 y1[1] (numeric) = 0.8435160803285809 absolute error = 4.440892098500626e-16 relative error = 5.264739110570051e-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) = 0.5379471686424417 y2[1] (numeric) = 0.5379471686424412 absolute error = 5.551115123125783e-16 relative error = 1.03190711778157e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8429785547388382 y1[1] (numeric) = 0.8429785547388386 absolute error = 4.440892098500626e-16 relative error = 5.268096173426917e-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) = 0.5387898780831223 y2[1] (numeric) = 0.5387898780831217 absolute error = 5.551115123125783e-16 relative error = 1.030293134472986e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8424401861706113 y1[1] (numeric) = 0.8424401861706118 absolute error = 4.440892098500626e-16 relative error = 5.27146279510609e-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) = 0.5396320487339695 y2[1] (numeric) = 0.5396320487339691 absolute error = 4.440892098500626e-16 relative error = 8.229481753204616e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8419009751622685 y1[1] (numeric) = 0.841900975162269 absolute error = 5.551115123125783e-16 relative error = 6.593548750856189e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5710000000000004 y2[1] (analytic) = 0.5404736797528131 y2[1] (numeric) = 0.5404736797528127 absolute error = 4.440892098500626e-16 relative error = 8.216666721923773e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8413609222530207 y1[1] (numeric) = 0.8413609222530213 absolute error = 5.551115123125783e-16 relative error = 6.59778101918597e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5720000000000004 y2[1] (analytic) = 0.541314770298022 y2[1] (numeric) = 0.5413147702980216 absolute error = 4.440892098500626e-16 relative error = 8.203899731122584e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8408200279829208 y1[1] (numeric) = 0.8408200279829213 absolute error = 5.551115123125783e-16 relative error = 6.602025330489083e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5730000000000004 y2[1] (analytic) = 0.5421553195285057 y2[1] (numeric) = 0.5421553195285053 absolute error = 4.440892098500626e-16 relative error = 8.191180531738988e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8402782928928629 y1[1] (numeric) = 0.8402782928928635 absolute error = 5.551115123125783e-16 relative error = 6.60628171651884e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5740000000000004 y2[1] (analytic) = 0.542995326603715 y2[1] (numeric) = 0.5429953266037145 absolute error = 4.440892098500626e-16 relative error = 8.178508876452351e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8397357175245822 y1[1] (numeric) = 0.8397357175245828 absolute error = 5.551115123125783e-16 relative error = 6.610550209165398e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5750000000000004 y2[1] (analytic) = 0.5438347906836429 y2[1] (numeric) = 0.5438347906836425 absolute error = 4.440892098500626e-16 relative error = 8.16588451966833e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8391923024206539 y1[1] (numeric) = 0.8391923024206545 absolute error = 5.551115123125783e-16 relative error = 6.614830840456433e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5760000000000004 y2[1] (analytic) = 0.5446737109288255 y2[1] (numeric) = 0.5446737109288251 absolute error = 4.440892098500626e-16 relative error = 8.153307217503901e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8386480481244931 y1[1] (numeric) = 0.8386480481244937 absolute error = 5.551115123125783e-16 relative error = 6.619123642557799e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5770000000000004 y2[1] (analytic) = 0.5455120865003426 y2[1] (numeric) = 0.5455120865003421 absolute error = 4.440892098500626e-16 relative error = 8.140776727772534e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8381029551803542 y1[1] (numeric) = 0.8381029551803547 absolute error = 5.551115123125783e-16 relative error = 6.62342864777421e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5780000000000004 y2[1] (analytic) = 0.5463499165598186 y2[1] (numeric) = 0.5463499165598181 absolute error = 4.440892098500626e-16 relative error = 8.128292809969531e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8375570241333299 y1[1] (numeric) = 0.8375570241333303 absolute error = 4.440892098500626e-16 relative error = 5.302196710839936e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5790000000000004 y2[1] (analytic) = 0.5471872002694236 y2[1] (numeric) = 0.5471872002694231 absolute error = 4.440892098500626e-16 relative error = 8.115855225257505e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8370102555293512 y1[1] (numeric) = 0.8370102555293517 absolute error = 5.551115123125783e-16 relative error = 6.632075397469397e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y2[1] (analytic) = 0.5480239367918739 y2[1] (numeric) = 0.5480239367918734 absolute error = 4.440892098500626e-16 relative error = 8.103463736452024e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8364626499151867 y1[1] (numeric) = 0.8364626499151873 absolute error = 5.551115123125783e-16 relative error = 6.636417207258015e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5810000000000004 y2[1] (analytic) = 0.548860125290433 y2[1] (numeric) = 0.5488601252904326 absolute error = 4.440892098500626e-16 relative error = 8.091118108007388e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8359142078384421 y1[1] (numeric) = 0.8359142078384426 absolute error = 5.551115123125783e-16 relative error = 6.64077135078275e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5820000000000004 y2[1] (analytic) = 0.5496957649289127 y2[1] (numeric) = 0.5496957649289123 absolute error = 4.440892098500626e-16 relative error = 8.078818106002558e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8353649298475592 y1[1] (numeric) = 0.8353649298475597 absolute error = 5.551115123125783e-16 relative error = 6.645137861052861e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5830000000000004 y2[1] (analytic) = 0.5505308548716732 y2[1] (numeric) = 0.5505308548716727 absolute error = 4.440892098500626e-16 relative error = 8.066563498127244e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8348148164918161 y1[1] (numeric) = 0.8348148164918167 absolute error = 5.551115123125783e-16 relative error = 6.649516771220605e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5840000000000004 y2[1] (analytic) = 0.5513653942836247 y2[1] (numeric) = 0.5513653942836243 absolute error = 4.440892098500626e-16 relative error = 8.054354053668105e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8342638683213262 y1[1] (numeric) = 0.8342638683213267 absolute error = 5.551115123125783e-16 relative error = 6.65390811458193e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5850000000000004 y2[1] (analytic) = 0.5521993823302279 y2[1] (numeric) = 0.5521993823302275 absolute error = 4.440892098500626e-16 relative error = 8.042189543495126e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8337120858870374 y1[1] (numeric) = 0.8337120858870379 absolute error = 5.551115123125783e-16 relative error = 6.658311924577189e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5860000000000004 y2[1] (analytic) = 0.5530328181774948 y2[1] (numeric) = 0.5530328181774944 absolute error = 4.440892098500626e-16 relative error = 8.030069740048103e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8331594697407322 y1[1] (numeric) = 0.8331594697407327 absolute error = 5.551115123125783e-16 relative error = 6.662728234791851e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5870000000000004 y2[1] (analytic) = 0.5538657009919896 y2[1] (numeric) = 0.5538657009919892 absolute error = 4.440892098500626e-16 relative error = 8.017994417323295e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8326060204350266 y1[1] (numeric) = 0.8326060204350272 absolute error = 5.551115123125783e-16 relative error = 6.667157078957214e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5880000000000004 y2[1] (analytic) = 0.5546980299408295 y2[1] (numeric) = 0.5546980299408292 absolute error = 3.33066907387547e-16 relative error = 6.004472513145138e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.83205173852337 y1[1] (numeric) = 0.8320517385233707 absolute error = 6.661338147750939e-16 relative error = 8.005918189141361e-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) = 0.5555298041916857 y2[1] (numeric) = 0.5555298041916854 absolute error = 3.33066907387547e-16 relative error = 5.995482238296293e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8314966245600443 y1[1] (numeric) = 0.8314966245600449 absolute error = 6.661338147750939e-16 relative error = 8.011263005758491e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y2[1] (analytic) = 0.5563610229127841 y2[1] (numeric) = 0.5563610229127838 absolute error = 3.33066907387547e-16 relative error = 5.986524822386038e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8309406791001632 y1[1] (numeric) = 0.8309406791001639 absolute error = 6.661338147750939e-16 relative error = 8.016622985607819e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5910000000000004 y2[1] (analytic) = 0.5571916852729059 y2[1] (numeric) = 0.5571916852729055 absolute error = 3.33066907387547e-16 relative error = 5.977600100482741e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8303839026996724 y1[1] (numeric) = 0.830383902699673 absolute error = 5.551115123125783e-16 relative error = 6.684998474896342e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5920000000000004 y2[1] (analytic) = 0.5580217904413889 y2[1] (numeric) = 0.5580217904413884 absolute error = 4.440892098500626e-16 relative error = 7.958277211698008e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.829826295915348 y1[1] (numeric) = 0.8298262959153486 absolute error = 6.661338147750939e-16 relative error = 8.027388599927513e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5930000000000004 y2[1] (analytic) = 0.5588513375881279 y2[1] (numeric) = 0.5588513375881274 absolute error = 4.440892098500626e-16 relative error = 7.946464112739681e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8292678593047969 y1[1] (numeric) = 0.8292678593047975 absolute error = 6.661338147750939e-16 relative error = 8.032794317309443e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5940000000000004 y2[1] (analytic) = 0.5596803258835759 y2[1] (numeric) = 0.5596803258835754 absolute error = 4.440892098500626e-16 relative error = 7.934693954963885e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8287085934264555 y1[1] (numeric) = 0.8287085934264562 absolute error = 6.661338147750939e-16 relative error = 8.038215363748494e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5950000000000004 y2[1] (analytic) = 0.5605087544987446 y2[1] (numeric) = 0.5605087544987442 absolute error = 4.440892098500626e-16 relative error = 7.922966524353498e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8281484988395899 y1[1] (numeric) = 0.8281484988395905 absolute error = 6.661338147750939e-16 relative error = 8.043651781153832e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5960000000000004 y2[1] (analytic) = 0.5613366226052056 y2[1] (numeric) = 0.5613366226052051 absolute error = 4.440892098500626e-16 relative error = 7.911281608333537e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8275875761042942 y1[1] (numeric) = 0.827587576104295 absolute error = 7.771561172376096e-16 relative error = 9.390620880220547e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5970000000000004 y2[1] (analytic) = 0.5621639293750906 y2[1] (numeric) = 0.5621639293750902 absolute error = 4.440892098500626e-16 relative error = 7.899638995759092e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8270258257814916 y1[1] (numeric) = 0.8270258257814923 absolute error = 6.661338147750939e-16 relative error = 8.054570897415881e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5980000000000004 y2[1] (analytic) = 0.5629906739810933 y2[1] (numeric) = 0.5629906739810928 absolute error = 4.440892098500626e-16 relative error = 7.888038476903373e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8264632484329321 y1[1] (numeric) = 0.8264632484329327 absolute error = 6.661338147750939e-16 relative error = 8.060053681009519e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5990000000000004 y2[1] (analytic) = 0.5638168555964688 y2[1] (numeric) = 0.5638168555964683 absolute error = 4.440892098500626e-16 relative error = 7.876479843445886e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8258998446211929 y1[1] (numeric) = 0.8258998446211936 absolute error = 6.661338147750939e-16 relative error = 8.065552005045148e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y2[1] (analytic) = 0.5646424733950357 y2[1] (numeric) = 0.5646424733950353 absolute error = 4.440892098500626e-16 relative error = 7.864962888460721e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8253356149096781 y1[1] (numeric) = 0.8253356149096787 absolute error = 5.551115123125783e-16 relative error = 6.725888260296725e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6010000000000004 y2[1] (analytic) = 0.5654675265511763 y2[1] (numeric) = 0.5654675265511758 absolute error = 4.440892098500626e-16 relative error = 7.853487406404961e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.824770559862617 y1[1] (numeric) = 0.8247705598626176 absolute error = 5.551115123125783e-16 relative error = 6.730496204969341e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6020000000000004 y2[1] (analytic) = 0.5662920142398374 y2[1] (numeric) = 0.566292014239837 absolute error = 4.440892098500626e-16 relative error = 7.842053193107202e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8242046800450649 y1[1] (numeric) = 0.8242046800450654 absolute error = 5.551115123125783e-16 relative error = 6.735117207563375e-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) = 0.5671159356365315 y2[1] (numeric) = 0.5671159356365311 absolute error = 4.440892098500626e-16 relative error = 7.83066004575619e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8236379760229013 y1[1] (numeric) = 0.8236379760229019 absolute error = 5.551115123125783e-16 relative error = 6.739751304244662e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6040000000000004 y2[1] (analytic) = 0.5679392899173372 y2[1] (numeric) = 0.5679392899173368 absolute error = 4.440892098500626e-16 relative error = 7.819307762889572e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8230704483628305 y1[1] (numeric) = 0.8230704483628309 absolute error = 4.440892098500626e-16 relative error = 5.395518825070205e-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) = 0.5687620762589004 y2[1] (numeric) = 0.5687620762589 absolute error = 4.440892098500626e-16 relative error = 7.807996144382758e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8225020976323798 y1[1] (numeric) = 0.8225020976323802 absolute error = 4.440892098500626e-16 relative error = 5.399247140261396e-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) = 0.5695842938384347 y2[1] (numeric) = 0.5695842938384342 absolute error = 4.440892098500626e-16 relative error = 7.79672499143789e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8219329243999 y1[1] (numeric) = 0.8219329243999005 absolute error = 5.551115123125783e-16 relative error = 6.753732522856045e-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) = 0.5704059418337226 y2[1] (numeric) = 0.5704059418337222 absolute error = 4.440892098500626e-16 relative error = 7.785494106572925e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8213629292345643 y1[1] (numeric) = 0.8213629292345649 absolute error = 5.551115123125783e-16 relative error = 6.758419360731215e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6080000000000004 y2[1] (analytic) = 0.5712270194231162 y2[1] (numeric) = 0.5712270194231158 absolute error = 3.33066907387547e-16 relative error = 5.830727470208119e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8207921127063679 y1[1] (numeric) = 0.8207921127063684 absolute error = 5.551115123125783e-16 relative error = 6.763119475919784e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6090000000000004 y2[1] (analytic) = 0.572047525785538 y2[1] (numeric) = 0.5720475257855376 absolute error = 3.33066907387547e-16 relative error = 5.822364268251631e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8202204753861271 y1[1] (numeric) = 0.8202204753861276 absolute error = 5.551115123125783e-16 relative error = 6.767832905552059e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y2[1] (analytic) = 0.5728674601004816 y2[1] (numeric) = 0.5728674601004813 absolute error = 3.33066907387547e-16 relative error = 5.814030828860948e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8196480178454792 y1[1] (numeric) = 0.8196480178454798 absolute error = 5.551115123125783e-16 relative error = 6.772559686921958e-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) = 0.5736868215480129 y2[1] (numeric) = 0.5736868215480125 absolute error = 3.33066907387547e-16 relative error = 5.80572700779169e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8190747406568819 y1[1] (numeric) = 0.8190747406568825 absolute error = 5.551115123125783e-16 relative error = 6.777299857487849e-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) = 0.5745056093087705 y2[1] (numeric) = 0.5745056093087701 absolute error = 3.33066907387547e-16 relative error = 5.797452661746575e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8185006443936121 y1[1] (numeric) = 0.8185006443936127 absolute error = 5.551115123125783e-16 relative error = 6.782053454873377e-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) = 0.5753238225639666 y2[1] (numeric) = 0.5753238225639663 absolute error = 3.33066907387547e-16 relative error = 5.789207648367721e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8179257296297663 y1[1] (numeric) = 0.8179257296297667 absolute error = 4.440892098500626e-16 relative error = 5.42945641349465e-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) = 0.5761414604953882 y2[1] (numeric) = 0.5761414604953878 absolute error = 3.33066907387547e-16 relative error = 5.780991826228986e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8173499969402589 y1[1] (numeric) = 0.8173499969402593 absolute error = 4.440892098500626e-16 relative error = 5.433280865143523e-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) = 0.5769585222853971 y2[1] (numeric) = 0.5769585222853969 absolute error = 2.220446049250313e-16 relative error = 3.848536703218939e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8167734469008227 y1[1] (numeric) = 0.8167734469008231 absolute error = 4.440892098500626e-16 relative error = 5.437116149344979e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6160000000000004 y2[1] (analytic) = 0.577775007116932 y2[1] (numeric) = 0.5777750071169317 absolute error = 2.220446049250313e-16 relative error = 3.843098129720471e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8161960800880076 y1[1] (numeric) = 0.816196080088008 absolute error = 4.440892098500626e-16 relative error = 5.440962296733623e-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) = 0.5785909141735078 y2[1] (numeric) = 0.5785909141735076 absolute error = 2.220446049250313e-16 relative error = 3.837678737873242e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8156178970791804 y1[1] (numeric) = 0.8156178970791809 absolute error = 4.440892098500626e-16 relative error = 5.444819338079708e-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) = 0.5794062426392177 y2[1] (numeric) = 0.5794062426392175 absolute error = 2.220446049250313e-16 relative error = 3.83227843582785e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8150388984525242 y1[1] (numeric) = 0.8150388984525246 absolute error = 4.440892098500626e-16 relative error = 5.448687304289817e-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) = 0.5802209916987332 y2[1] (numeric) = 0.580220991698733 absolute error = 2.220446049250313e-16 relative error = 3.826897132331314e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8144590847870373 y1[1] (numeric) = 0.8144590847870379 absolute error = 5.551115123125783e-16 relative error = 6.815707783009473e-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) = 0.5810351605373054 y2[1] (numeric) = 0.5810351605373052 absolute error = 2.220446049250313e-16 relative error = 3.82153473672227e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8138784566625337 y1[1] (numeric) = 0.8138784566625342 absolute error = 5.551115123125783e-16 relative error = 6.820570169517947e-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) = 0.5818487483407655 y2[1] (numeric) = 0.5818487483407653 absolute error = 2.220446049250313e-16 relative error = 3.816191158926214e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8132970146596411 y1[1] (numeric) = 0.8132970146596417 absolute error = 5.551115123125783e-16 relative error = 6.825446329037472e-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) = 0.5826617542955257 y2[1] (numeric) = 0.5826617542955255 absolute error = 2.220446049250313e-16 relative error = 3.81086630945079e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8127147593598018 y1[1] (numeric) = 0.8127147593598022 absolute error = 4.440892098500626e-16 relative error = 5.464269040713425e-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) = 0.5834741775885802 y2[1] (numeric) = 0.58347417758858 absolute error = 2.220446049250313e-16 relative error = 3.805560099381117e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8121316913452706 y1[1] (numeric) = 0.8121316913452712 absolute error = 5.551115123125783e-16 relative error = 6.835240124579469e-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) = 0.5842860174075057 y2[1] (numeric) = 0.5842860174075055 absolute error = 2.220446049250313e-16 relative error = 3.800272440375174e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8115478111991159 y1[1] (numeric) = 0.8115478111991165 absolute error = 5.551115123125783e-16 relative error = 6.840157839774888e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6250000000000004 y2[1] (analytic) = 0.5850972729404625 y2[1] (numeric) = 0.5850972729404623 absolute error = 2.220446049250313e-16 relative error = 3.795003244659214e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8109631195052176 y1[1] (numeric) = 0.8109631195052182 absolute error = 5.551115123125783e-16 relative error = 6.84508948632906e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6260000000000004 y2[1] (analytic) = 0.5859079433761951 y2[1] (numeric) = 0.5859079433761949 absolute error = 2.220446049250313e-16 relative error = 3.789752425023237e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8103776168482675 y1[1] (numeric) = 0.8103776168482679 absolute error = 4.440892098500626e-16 relative error = 5.480028083416481e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6270000000000004 y2[1] (analytic) = 0.5867180279040332 y2[1] (numeric) = 0.5867180279040329 absolute error = 2.220446049250313e-16 relative error = 3.784519894816495e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8097913038137678 y1[1] (numeric) = 0.8097913038137684 absolute error = 5.551115123125783e-16 relative error = 6.854994733806629e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6280000000000004 y2[1] (analytic) = 0.5875275257138922 y2[1] (numeric) = 0.587527525713892 absolute error = 2.220446049250313e-16 relative error = 3.779305567943044e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.809204180988032 y1[1] (numeric) = 0.8092041809880325 absolute error = 4.440892098500626e-16 relative error = 5.48797473225896e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6290000000000004 y2[1] (analytic) = 0.5883364359962745 y2[1] (numeric) = 0.5883364359962743 absolute error = 2.220446049250313e-16 relative error = 3.774109358857342e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8086162489581826 y1[1] (numeric) = 0.8086162489581831 absolute error = 4.440892098500626e-16 relative error = 5.491964951510993e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y2[1] (analytic) = 0.5891447579422698 y2[1] (numeric) = 0.5891447579422696 absolute error = 2.220446049250313e-16 relative error = 3.768931182559879e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8080275083121516 y1[1] (numeric) = 0.8080275083121521 absolute error = 4.440892098500626e-16 relative error = 5.495966477399989e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6310000000000004 y2[1] (analytic) = 0.5899524907435564 y2[1] (numeric) = 0.589952490743556 absolute error = 3.33066907387547e-16 relative error = 5.645656431889296e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8074379596386796 y1[1] (numeric) = 0.8074379596386801 absolute error = 5.551115123125783e-16 relative error = 6.874974178337926e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6320000000000005 y2[1] (analytic) = 0.5907596335924012 y2[1] (numeric) = 0.5907596335924009 absolute error = 3.33066907387547e-16 relative error = 5.637942886553905e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8068476035273153 y1[1] (numeric) = 0.8068476035273158 absolute error = 4.440892098500626e-16 relative error = 5.504003580213004e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6330000000000005 y2[1] (analytic) = 0.5915661856816617 y2[1] (numeric) = 0.5915661856816614 absolute error = 3.33066907387547e-16 relative error = 5.630256012752892e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8062564405684147 y1[1] (numeric) = 0.8062564405684152 absolute error = 4.440892098500626e-16 relative error = 5.508039223066269e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6340000000000005 y2[1] (analytic) = 0.592372146204786 y2[1] (numeric) = 0.5923721462047856 absolute error = 3.33066907387547e-16 relative error = 5.622595686198995e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8056644713531407 y1[1] (numeric) = 0.8056644713531411 absolute error = 4.440892098500626e-16 relative error = 5.512086304416525e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6350000000000005 y2[1] (analytic) = 0.5931775143558132 y2[1] (numeric) = 0.5931775143558129 absolute error = 3.33066907387547e-16 relative error = 5.6149617833922e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8050716964734626 y1[1] (numeric) = 0.8050716964734629 absolute error = 3.33066907387547e-16 relative error = 4.137108643199281e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6360000000000005 y2[1] (analytic) = 0.5939822893293757 y2[1] (numeric) = 0.5939822893293752 absolute error = 4.440892098500626e-16 relative error = 7.476472242151411e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.804478116522155 y1[1] (numeric) = 0.8044781165221553 absolute error = 3.33066907387547e-16 relative error = 4.140161187074061e-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) = 0.5947864703206982 y2[1] (numeric) = 0.5947864703206978 absolute error = 4.440892098500626e-16 relative error = 7.466363678558756e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8038837320927978 y1[1] (numeric) = 0.8038837320927982 absolute error = 3.33066907387547e-16 relative error = 4.143222385163266e-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) = 0.5955900565256 y2[1] (numeric) = 0.5955900565255996 absolute error = 4.440892098500626e-16 relative error = 7.456289858844788e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8032885437797757 y1[1] (numeric) = 0.803288543779776 absolute error = 3.33066907387547e-16 relative error = 4.146292262806855e-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) = 0.5963930471404949 y2[1] (numeric) = 0.5963930471404945 absolute error = 4.440892098500626e-16 relative error = 7.446250622459833e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8026925521782766 y1[1] (numeric) = 0.802692552178277 absolute error = 3.33066907387547e-16 relative error = 4.149370845458815e-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) = 0.5971954413623924 y2[1] (numeric) = 0.5971954413623919 absolute error = 5.551115123125783e-16 relative error = 9.295307262329275e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8020957578842923 y1[1] (numeric) = 0.8020957578842927 absolute error = 3.33066907387547e-16 relative error = 4.152458158687757e-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) = 0.5979972383888983 y2[1] (numeric) = 0.5979972383888977 absolute error = 5.551115123125783e-16 relative error = 9.282844078145559e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8014981614946169 y1[1] (numeric) = 0.8014981614946173 absolute error = 3.33066907387547e-16 relative error = 4.155554228177527e-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) = 0.5987984374182156 y2[1] (numeric) = 0.598798437418215 absolute error = 5.551115123125783e-16 relative error = 9.270423528591721e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.8008997636068469 y1[1] (numeric) = 0.8008997636068472 absolute error = 3.33066907387547e-16 relative error = 4.158659079727809e-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) = 0.5995990376491455 y2[1] (numeric) = 0.5995990376491448 absolute error = 6.661338147750939e-16 relative error = 1.110965450156178e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.8003005648193801 y1[1] (numeric) = 0.8003005648193803 absolute error = 2.220446049250313e-16 relative error = 2.774515159503162e-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) = 0.6003990382810875 y2[1] (numeric) = 0.6003990382810869 absolute error = 6.661338147750939e-16 relative error = 1.10948514621576e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.799700565731415 y1[1] (numeric) = 0.7997005657314152 absolute error = 2.220446049250313e-16 relative error = 2.776596821861028e-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) = 0.6011984385140414 y2[1] (numeric) = 0.6011984385140408 absolute error = 6.661338147750939e-16 relative error = 1.108009888418125e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7990997669429508 y1[1] (numeric) = 0.7990997669429512 absolute error = 3.33066907387547e-16 relative error = 4.168026586489109e-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) = 0.6019972375486069 y2[1] (numeric) = 0.6019972375486062 absolute error = 6.661338147750939e-16 relative error = 1.106539653716116e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7984981690547863 y1[1] (numeric) = 0.7984981690547867 absolute error = 3.33066907387547e-16 relative error = 4.171166826616664e-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) = 0.6027954345859849 y2[1] (numeric) = 0.6027954345859843 absolute error = 6.661338147750939e-16 relative error = 1.105074419205931e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7978957726685194 y1[1] (numeric) = 0.7978957726685196 absolute error = 2.220446049250313e-16 relative error = 2.782877319708251e-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) = 0.6035930288279786 y2[1] (numeric) = 0.6035930288279781 absolute error = 5.551115123125783e-16 relative error = 9.196784684383469e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.7972925783865462 y1[1] (numeric) = 0.7972925783865464 absolute error = 2.220446049250313e-16 relative error = 2.784982714555997e-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) = 0.6043900194769939 y2[1] (numeric) = 0.6043900194769932 absolute error = 6.661338147750939e-16 relative error = 1.102158859855975e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7966885868120611 y1[1] (numeric) = 0.7966885868120613 absolute error = 2.220446049250313e-16 relative error = 2.787094086706324e-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) = 0.6051864057360399 y2[1] (numeric) = 0.6051864057360393 absolute error = 5.551115123125783e-16 relative error = 9.172570749295673e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.7960837985490555 y1[1] (numeric) = 0.7960837985490558 absolute error = 2.220446049250313e-16 relative error = 2.789211453991783e-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) = 0.6059821868087307 y2[1] (numeric) = 0.6059821868087301 absolute error = 6.661338147750939e-16 relative error = 1.099263029963204e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7954782142023178 y1[1] (numeric) = 0.795478214202318 absolute error = 2.220446049250313e-16 relative error = 2.79133483432593e-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) = 0.6067773618992852 y2[1] (numeric) = 0.6067773618992846 absolute error = 6.661338147750939e-16 relative error = 1.097822457795749e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7948718343774321 y1[1] (numeric) = 0.7948718343774324 absolute error = 2.220446049250313e-16 relative error = 2.793464245703754e-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) = 0.6075719302125283 y2[1] (numeric) = 0.6075719302125276 absolute error = 6.661338147750939e-16 relative error = 1.096386751346595e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7942646596807783 y1[1] (numeric) = 0.7942646596807785 absolute error = 2.220446049250313e-16 relative error = 2.795599706202123e-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) = 0.6083658909538918 y2[1] (numeric) = 0.6083658909538912 absolute error = 6.661338147750939e-16 relative error = 1.094955888685055e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.793656690719531 y1[1] (numeric) = 0.7936566907195313 absolute error = 2.220446049250313e-16 relative error = 2.797741233980213e-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) = 0.6091592433294152 y2[1] (numeric) = 0.6091592433294144 absolute error = 7.771561172376096e-16 relative error = 1.275784822684447e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7930479281016591 y1[1] (numeric) = 0.7930479281016594 absolute error = 2.220446049250313e-16 relative error = 2.799888847279958e-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) = 0.6099519865457459 y2[1] (numeric) = 0.6099519865457451 absolute error = 7.771561172376096e-16 relative error = 1.274126708954203e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7924383724359253 y1[1] (numeric) = 0.7924383724359255 absolute error = 2.220446049250313e-16 relative error = 2.802042564426489e-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) = 0.6107441198101409 y2[1] (numeric) = 0.6107441198101401 absolute error = 7.771561172376096e-16 relative error = 1.272474170490909e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.791828024331885 y1[1] (numeric) = 0.7918280243318853 absolute error = 2.220446049250313e-16 relative error = 2.804202403828587e-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) = 0.611535642330467 y2[1] (numeric) = 0.6115356423304662 absolute error = 7.771561172376096e-16 relative error = 1.27082718233068e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7912168843998864 y1[1] (numeric) = 0.7912168843998866 absolute error = 2.220446049250313e-16 relative error = 2.806368383979132e-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) = 0.6123265533152017 y2[1] (numeric) = 0.6123265533152009 absolute error = 7.771561172376096e-16 relative error = 1.269185719662169e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7906049532510693 y1[1] (numeric) = 0.7906049532510695 absolute error = 2.220446049250313e-16 relative error = 2.808540523455555e-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) = 0.6131168519734341 y2[1] (numeric) = 0.6131168519734334 absolute error = 7.771561172376096e-16 relative error = 1.267549757825419e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7899922314973647 y1[1] (numeric) = 0.7899922314973651 absolute error = 3.33066907387547e-16 relative error = 4.216078261380448e-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) = 0.6139065375148657 y2[1] (numeric) = 0.6139065375148649 absolute error = 7.771561172376096e-16 relative error = 1.265919272310715e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7893787197514947 y1[1] (numeric) = 0.789378719751495 absolute error = 3.33066907387547e-16 relative error = 4.219355032681907e-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) = 0.6146956091498109 y2[1] (numeric) = 0.6146956091498101 absolute error = 7.771561172376096e-16 relative error = 1.264294238757454e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7887644186269706 y1[1] (numeric) = 0.7887644186269709 absolute error = 3.33066907387547e-16 relative error = 4.222641127338477e-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) = 0.6154840660891983 y2[1] (numeric) = 0.6154840660891974 absolute error = 8.881784197001252e-16 relative error = 1.443056723374878e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7881493287380936 y1[1] (numeric) = 0.7881493287380938 absolute error = 2.220446049250313e-16 relative error = 2.817291049153681e-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) = 0.6162719075445707 y2[1] (numeric) = 0.6162719075445698 absolute error = 8.881784197001252e-16 relative error = 1.441211920950477e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7875334506999535 y1[1] (numeric) = 0.7875334506999538 absolute error = 3.33066907387547e-16 relative error = 4.229241400368704e-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) = 0.617059132728087 y2[1] (numeric) = 0.6170591327280861 absolute error = 8.881784197001252e-16 relative error = 1.439373266826778e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7869167851284284 y1[1] (numeric) = 0.7869167851284287 absolute error = 2.220446049250313e-16 relative error = 2.821703757263134e-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) = 0.617845740852522 y2[1] (numeric) = 0.6178457408525211 absolute error = 8.881784197001252e-16 relative error = 1.437540733832024e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7862993326401837 y1[1] (numeric) = 0.786299332640184 absolute error = 3.33066907387547e-16 relative error = 4.235879309081912e-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) = 0.6186317311312676 y2[1] (numeric) = 0.6186317311312667 absolute error = 8.881784197001252e-16 relative error = 1.435714294958566e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7856810938526719 y1[1] (numeric) = 0.7856810938526723 absolute error = 3.33066907387547e-16 relative error = 4.239212448836175e-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) = 0.6194171027783336 y2[1] (numeric) = 0.6194171027783327 absolute error = 8.881784197001252e-16 relative error = 1.43389392336164e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7850620693841317 y1[1] (numeric) = 0.7850620693841321 absolute error = 4.440892098500626e-16 relative error = 5.656740112261993e-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) = 0.6202018550083485 y2[1] (numeric) = 0.6202018550083476 absolute error = 8.881784197001252e-16 relative error = 1.432079592358152e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7844422598535876 y1[1] (numeric) = 0.7844422598535881 absolute error = 4.440892098500626e-16 relative error = 5.661209659114359e-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) = 0.62098598703656 y2[1] (numeric) = 0.6209859870365592 absolute error = 8.881784197001252e-16 relative error = 1.43027127542547e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.783821665880849 y1[1] (numeric) = 0.7838216658808494 absolute error = 4.440892098500626e-16 relative error = 5.665691944748691e-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) = 0.6217694980788363 y2[1] (numeric) = 0.6217694980788354 absolute error = 8.881784197001252e-16 relative error = 1.428468946200237e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7832002880865098 y1[1] (numeric) = 0.7832002880865103 absolute error = 5.551115123125783e-16 relative error = 7.087733760527708e-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) = 0.6225523873516663 y2[1] (numeric) = 0.6225523873516654 absolute error = 8.881784197001252e-16 relative error = 1.426672578477179e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7825781270919479 y1[1] (numeric) = 0.7825781270919483 absolute error = 4.440892098500626e-16 relative error = 5.674694889573435e-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) = 0.6233346540721608 y2[1] (numeric) = 0.6233346540721599 absolute error = 8.881784197001252e-16 relative error = 1.424882146207941e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7819551835193239 y1[1] (numeric) = 0.7819551835193245 absolute error = 5.551115123125783e-16 relative error = 7.099019534779517e-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) = 0.6241162974580533 y2[1] (numeric) = 0.6241162974580523 absolute error = 9.992007221626409e-16 relative error = 1.600984826437411e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7813314579915817 y1[1] (numeric) = 0.7813314579915822 absolute error = 5.551115123125783e-16 relative error = 7.104686578721616e-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) = 0.6248973167277002 y2[1] (numeric) = 0.6248973167276992 absolute error = 9.992007221626409e-16 relative error = 1.598983857692005e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7807069511324466 y1[1] (numeric) = 0.7807069511324471 absolute error = 5.551115123125783e-16 relative error = 7.110369793779431e-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) = 0.6256777111000825 y2[1] (numeric) = 0.6256777111000815 absolute error = 9.992007221626409e-16 relative error = 1.596989479465108e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7800816635664254 y1[1] (numeric) = 0.7800816635664259 absolute error = 5.551115123125783e-16 relative error = 7.116069230171175e-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) = 0.6264574797948058 y2[1] (numeric) = 0.6264574797948048 absolute error = 9.992007221626409e-16 relative error = 1.59500166314548e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7794555959188056 y1[1] (numeric) = 0.7794555959188062 absolute error = 5.551115123125783e-16 relative error = 7.121784938348215e-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) = 0.6272366220321016 y2[1] (numeric) = 0.6272366220321006 absolute error = 9.992007221626409e-16 relative error = 1.593020380291989e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7788287488156549 y1[1] (numeric) = 0.7788287488156554 absolute error = 5.551115123125783e-16 relative error = 7.127516968996359e-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) = 0.6280151370328276 y2[1] (numeric) = 0.6280151370328266 absolute error = 9.992007221626409e-16 relative error = 1.591045602632362e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7782011228838203 y1[1] (numeric) = 0.7782011228838208 absolute error = 5.551115123125783e-16 relative error = 7.133265373037149e-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) = 0.6287930240184689 y2[1] (numeric) = 0.6287930240184679 absolute error = 9.992007221626409e-16 relative error = 1.589077302061946e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7775727187509276 y1[1] (numeric) = 0.7775727187509281 absolute error = 5.551115123125783e-16 relative error = 7.139030201629178e-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) = 0.6295702822111385 y2[1] (numeric) = 0.6295702822111376 absolute error = 8.881784197001252e-16 relative error = 1.410769289459977e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.776943537045381 y1[1] (numeric) = 0.7769435370453815 absolute error = 5.551115123125783e-16 relative error = 7.144811506169391e-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) = 0.6303469108335785 y2[1] (numeric) = 0.6303469108335775 absolute error = 9.992007221626409e-16 relative error = 1.585160020600855e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7763135783963621 y1[1] (numeric) = 0.7763135783963626 absolute error = 5.551115123125783e-16 relative error = 7.150609338294419e-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) = 0.6311229091091601 y2[1] (numeric) = 0.6311229091091591 absolute error = 9.992007221626409e-16 relative error = 1.583210984327963e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7756828434338294 y1[1] (numeric) = 0.77568284343383 absolute error = 5.551115123125783e-16 relative error = 7.156423749881903e-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) = 0.6318982762618852 y2[1] (numeric) = 0.6318982762618842 absolute error = 9.992007221626409e-16 relative error = 1.58126831437744e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7750513327885181 y1[1] (numeric) = 0.7750513327885186 absolute error = 4.440892098500626e-16 relative error = 5.729803834441475e-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) = 0.6326730115163868 y2[1] (numeric) = 0.6326730115163857 absolute error = 1.110223024625157e-15 relative error = 1.754813314960568e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7744190470919384 y1[1] (numeric) = 0.774419047091939 absolute error = 5.551115123125783e-16 relative error = 7.168102520167945e-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) = 0.6334471140979294 y2[1] (numeric) = 0.6334471140979284 absolute error = 9.992007221626409e-16 relative error = 1.577401964464814e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7737859869763762 y1[1] (numeric) = 0.7737859869763768 absolute error = 5.551115123125783e-16 relative error = 7.17396698383898e-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) = 0.6342205832324108 y2[1] (numeric) = 0.6342205832324098 absolute error = 9.992007221626409e-16 relative error = 1.575478230413223e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7731521530748916 y1[1] (numeric) = 0.7731521530748922 absolute error = 5.551115123125783e-16 relative error = 7.179848236920156e-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) = 0.6349934181463618 y2[1] (numeric) = 0.6349934181463608 absolute error = 9.992007221626409e-16 relative error = 1.573560754502705e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7725175460213183 y1[1] (numeric) = 0.7725175460213188 absolute error = 5.551115123125783e-16 relative error = 7.185746332514492e-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) = 0.6357656180669476 y2[1] (numeric) = 0.6357656180669465 absolute error = 1.110223024625157e-15 relative error = 1.746277233425742e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7718821664502634 y1[1] (numeric) = 0.7718821664502639 absolute error = 4.440892098500626e-16 relative error = 5.753329059179368e-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) = 0.6365371822219683 y2[1] (numeric) = 0.6365371822219672 absolute error = 1.110223024625157e-15 relative error = 1.744160522955921e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7712460149971063 y1[1] (numeric) = 0.7712460149971068 absolute error = 4.440892098500626e-16 relative error = 5.758074611921708e-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) = 0.6373081098398599 y2[1] (numeric) = 0.6373081098398587 absolute error = 1.110223024625157e-15 relative error = 1.742050677660651e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7706090922979985 y1[1] (numeric) = 0.770609092297999 absolute error = 5.551115123125783e-16 relative error = 7.203542209153092e-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) = 0.6380784001496946 y2[1] (numeric) = 0.6380784001496935 absolute error = 1.110223024625157e-15 relative error = 1.739947668444341e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7699713989898626 y1[1] (numeric) = 0.7699713989898631 absolute error = 5.551115123125783e-16 relative error = 7.209508210835333e-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) = 0.6388480523811825 y2[1] (numeric) = 0.6388480523811814 absolute error = 1.110223024625157e-15 relative error = 1.737851466380801e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7693329357103919 y1[1] (numeric) = 0.7693329357103924 absolute error = 5.551115123125783e-16 relative error = 7.215491324311959e-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) = 0.6396170657646711 y2[1] (numeric) = 0.63961706576467 absolute error = 1.110223024625157e-15 relative error = 1.735762042712024e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7686937030980495 y1[1] (numeric) = 0.7686937030980501 absolute error = 5.551115123125783e-16 relative error = 7.221491604202356e-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) = 0.6403854395311473 y2[1] (numeric) = 0.6403854395311462 absolute error = 1.110223024625157e-15 relative error = 1.733679368846982e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7680537017920682 y1[1] (numeric) = 0.7680537017920688 absolute error = 5.551115123125783e-16 relative error = 7.227509105383638e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6960000000000005 y2[1] (analytic) = 0.6411531729122374 y2[1] (numeric) = 0.6411531729122363 absolute error = 1.110223024625157e-15 relative error = 1.731603416360425e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.767412932432449 y1[1] (numeric) = 0.7674129324324497 absolute error = 6.661338147750939e-16 relative error = 8.680252659590538e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6970000000000005 y2[1] (analytic) = 0.6419202651402079 y2[1] (numeric) = 0.6419202651402068 absolute error = 1.110223024625157e-15 relative error = 1.729534156991698e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7667713956599614 y1[1] (numeric) = 0.7667713956599621 absolute error = 6.661338147750939e-16 relative error = 8.68751519090969e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6980000000000005 y2[1] (analytic) = 0.6426867154479668 y2[1] (numeric) = 0.6426867154479657 absolute error = 1.110223024625157e-15 relative error = 1.727471562643561e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7661290921161421 y1[1] (numeric) = 0.7661290921161428 absolute error = 6.661338147750939e-16 relative error = 8.69479858720873e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6990000000000005 y2[1] (analytic) = 0.6434525230690639 y2[1] (numeric) = 0.6434525230690628 absolute error = 1.110223024625157e-15 relative error = 1.725415605381025e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7654860224432944 y1[1] (numeric) = 0.7654860224432951 absolute error = 6.661338147750939e-16 relative error = 8.702102915594904e-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) = 0.6442176872376915 y2[1] (numeric) = 0.6442176872376904 absolute error = 1.110223024625157e-15 relative error = 1.723366257430196e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7648421872844881 y1[1] (numeric) = 0.7648421872844888 absolute error = 7.771561172376096e-16 relative error = 1.01609996174092e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7010000000000005 y2[1] (analytic) = 0.6449822071886855 y2[1] (numeric) = 0.6449822071886844 absolute error = 1.110223024625157e-15 relative error = 1.721323491177126e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7641975872835582 y1[1] (numeric) = 0.764197587283559 absolute error = 7.771561172376096e-16 relative error = 1.016957041175848e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7020000000000005 y2[1] (analytic) = 0.645746082157526 y2[1] (numeric) = 0.6457460821575249 absolute error = 1.110223024625157e-15 relative error = 1.71928727916668e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7635522230851047 y1[1] (numeric) = 0.7635522230851056 absolute error = 8.881784197001252e-16 relative error = 1.163218955884213e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7030000000000005 y2[1] (analytic) = 0.6465093113803383 y2[1] (numeric) = 0.6465093113803372 absolute error = 1.110223024625157e-15 relative error = 1.717257594101406e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7629060953344918 y1[1] (numeric) = 0.7629060953344927 absolute error = 8.881784197001252e-16 relative error = 1.164204120443825e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7040000000000005 y2[1] (analytic) = 0.647271894093893 y2[1] (numeric) = 0.647271894093892 absolute error = 9.992007221626409e-16 relative error = 1.543710967956377e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7622592046778472 y1[1] (numeric) = 0.762259204677848 absolute error = 7.771561172376096e-16 relative error = 1.019543106161713e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7050000000000005 y2[1] (analytic) = 0.6480338295356076 y2[1] (numeric) = 0.6480338295356065 absolute error = 1.110223024625157e-15 relative error = 1.713217696398291e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7616115517620614 y1[1] (numeric) = 0.7616115517620622 absolute error = 7.771561172376096e-16 relative error = 1.020410096773853e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7060000000000005 y2[1] (analytic) = 0.6487951169435466 y2[1] (numeric) = 0.6487951169435455 absolute error = 1.110223024625157e-15 relative error = 1.711207429943959e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7609631372347873 y1[1] (numeric) = 0.760963137234788 absolute error = 7.771561172376096e-16 relative error = 1.021279585318239e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7070000000000005 y2[1] (analytic) = 0.6495557555564228 y2[1] (numeric) = 0.6495557555564216 absolute error = 1.110223024625157e-15 relative error = 1.709203582799627e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7603139617444393 y1[1] (numeric) = 0.7603139617444401 absolute error = 7.771561172376096e-16 relative error = 1.022151579926966e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7080000000000005 y2[1] (analytic) = 0.6503157446135975 y2[1] (numeric) = 0.6503157446135964 absolute error = 1.110223024625157e-15 relative error = 1.707206128439694e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.759664025940193 y1[1] (numeric) = 0.7596640259401938 absolute error = 7.771561172376096e-16 relative error = 1.023026088770977e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7090000000000005 y2[1] (analytic) = 0.6510750833550819 y2[1] (numeric) = 0.6510750833550808 absolute error = 1.110223024625157e-15 relative error = 1.705215040489678e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.759013330471984 y1[1] (numeric) = 0.7590133304719848 absolute error = 7.771561172376096e-16 relative error = 1.023903120060281e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y2[1] (analytic) = 0.6518337710215371 y2[1] (numeric) = 0.6518337710215361 absolute error = 9.992007221626409e-16 relative error = 1.532907263452643e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7583618759905079 y1[1] (numeric) = 0.7583618759905086 absolute error = 7.771561172376096e-16 relative error = 1.024782682044181e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7110000000000005 y2[1] (analytic) = 0.6525918068542756 y2[1] (numeric) = 0.6525918068542745 absolute error = 1.110223024625157e-15 relative error = 1.70125185907072e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7577096631472189 y1[1] (numeric) = 0.7577096631472197 absolute error = 7.771561172376096e-16 relative error = 1.025664783011501e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7120000000000005 y2[1] (analytic) = 0.6533491900952616 y2[1] (numeric) = 0.6533491900952606 absolute error = 9.992007221626409e-16 relative error = 1.52935174223902e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7570566925943298 y1[1] (numeric) = 0.7570566925943307 absolute error = 8.881784197001252e-16 relative error = 1.173199350046638e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7130000000000005 y2[1] (analytic) = 0.654105919987112 y2[1] (numeric) = 0.654105919987111 absolute error = 9.992007221626409e-16 relative error = 1.527582447476287e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7564029649848114 y1[1] (numeric) = 0.7564029649848122 absolute error = 7.771561172376096e-16 relative error = 1.02743663525065e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7140000000000005 y2[1] (analytic) = 0.654861995773097 y2[1] (numeric) = 0.6548619957730959 absolute error = 1.110223024625157e-15 relative error = 1.695354184226989e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7557484809723909 y1[1] (numeric) = 0.7557484809723918 absolute error = 8.881784197001252e-16 relative error = 1.175230175199746e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7150000000000005 y2[1] (analytic) = 0.6556174166971407 y2[1] (numeric) = 0.6556174166971396 absolute error = 1.110223024625157e-15 relative error = 1.693400749202516e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7550932412115525 y1[1] (numeric) = 0.7550932412115533 absolute error = 7.771561172376096e-16 relative error = 1.029218743887387e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7160000000000005 y2[1] (analytic) = 0.6563721820038223 y2[1] (numeric) = 0.6563721820038212 absolute error = 1.110223024625157e-15 relative error = 1.691453500109929e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7544372463575357 y1[1] (numeric) = 0.7544372463575366 absolute error = 8.881784197001252e-16 relative error = 1.177272760575249e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7170000000000005 y2[1] (analytic) = 0.6571262909383767 y2[1] (numeric) = 0.6571262909383755 absolute error = 1.221245327087672e-15 relative error = 1.858463652920861e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7537804970663355 y1[1] (numeric) = 0.7537804970663364 absolute error = 8.881784197001252e-16 relative error = 1.178298487632484e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7180000000000005 y2[1] (analytic) = 0.6578797427466948 y2[1] (numeric) = 0.6578797427466937 absolute error = 1.110223024625157e-15 relative error = 1.687577459050337e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7531229939947011 y1[1] (numeric) = 0.753122993994702 absolute error = 8.881784197001252e-16 relative error = 1.179327183982347e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7190000000000005 y2[1] (analytic) = 0.6586325366753251 y2[1] (numeric) = 0.658632536675324 absolute error = 1.110223024625157e-15 relative error = 1.685648617102019e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7524647378001355 y1[1] (numeric) = 0.7524647378001362 absolute error = 7.771561172376096e-16 relative error = 1.032814002035046e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y2[1] (analytic) = 0.6593846719714735 y2[1] (numeric) = 0.6593846719714724 absolute error = 1.110223024625157e-15 relative error = 1.683725861120999e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7518057291408946 y1[1] (numeric) = 0.7518057291408955 absolute error = 8.881784197001252e-16 relative error = 1.181393523982674e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7210000000000005 y2[1] (analytic) = 0.660136147883005 y2[1] (numeric) = 0.6601361478830039 absolute error = 1.110223024625157e-15 relative error = 1.681809166465945e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7511459686759874 y1[1] (numeric) = 0.7511459686759883 absolute error = 8.881784197001252e-16 relative error = 1.182431187463708e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7220000000000005 y2[1] (analytic) = 0.6608869636584436 y2[1] (numeric) = 0.6608869636584425 absolute error = 1.110223024625157e-15 relative error = 1.679898508633523e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.750485457065174 y1[1] (numeric) = 0.7504854570651749 absolute error = 8.881784197001252e-16 relative error = 1.18347185989907e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7230000000000005 y2[1] (analytic) = 0.6616371185469735 y2[1] (numeric) = 0.6616371185469725 absolute error = 9.992007221626409e-16 relative error = 1.510194476931696e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7498241949689661 y1[1] (numeric) = 0.749824194968967 absolute error = 8.881784197001252e-16 relative error = 1.184515551324515e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7240000000000005 y2[1] (analytic) = 0.6623866117984401 y2[1] (numeric) = 0.6623866117984391 absolute error = 9.992007221626409e-16 relative error = 1.508485685496752e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7491621830486257 y1[1] (numeric) = 0.7491621830486267 absolute error = 9.992007221626409e-16 relative error = 1.333757555802554e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7250000000000005 y2[1] (analytic) = 0.6631354426633501 y2[1] (numeric) = 0.663135442663349 absolute error = 1.110223024625157e-15 relative error = 1.674202513088682e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7484994219661647 y1[1] (numeric) = 0.7484994219661657 absolute error = 9.992007221626409e-16 relative error = 1.334938535473991e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7260000000000005 y2[1] (analytic) = 0.6638836103928726 y2[1] (numeric) = 0.6638836103928716 absolute error = 9.992007221626409e-16 relative error = 1.505084184216168e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7478359123843442 y1[1] (numeric) = 0.7478359123843451 absolute error = 8.881784197001252e-16 relative error = 1.187664840631046e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7270000000000005 y2[1] (analytic) = 0.6646311142388401 y2[1] (numeric) = 0.664631114238839 absolute error = 1.110223024625157e-15 relative error = 1.670434923734536e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7471716549666735 y1[1] (numeric) = 0.7471716549666745 absolute error = 9.992007221626409e-16 relative error = 1.337310798021653e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7280000000000005 y2[1] (analytic) = 0.6653779534537487 y2[1] (numeric) = 0.6653779534537476 absolute error = 1.110223024625157e-15 relative error = 1.668559979876655e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7465066503774102 y1[1] (numeric) = 0.7465066503774112 absolute error = 9.992007221626409e-16 relative error = 1.338502103976537e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7290000000000005 y2[1] (analytic) = 0.6661241272907594 y2[1] (numeric) = 0.6661241272907582 absolute error = 1.221245327087672e-15 relative error = 1.833359995613258e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7458408992815587 y1[1] (numeric) = 0.7458408992815596 absolute error = 8.881784197001252e-16 relative error = 1.190841666842989e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y2[1] (analytic) = 0.6668696350036982 y2[1] (numeric) = 0.6668696350036971 absolute error = 1.110223024625157e-15 relative error = 1.664827675980478e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.74517440234487 y1[1] (numeric) = 0.745174402344871 absolute error = 9.992007221626409e-16 relative error = 1.340895123367652e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7310000000000005 y2[1] (analytic) = 0.6676144758470577 y2[1] (numeric) = 0.6676144758470566 absolute error = 1.110223024625157e-15 relative error = 1.662970269205929e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7445071602338411 y1[1] (numeric) = 0.7445071602338421 absolute error = 9.992007221626409e-16 relative error = 1.342096860222007e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7320000000000005 y2[1] (analytic) = 0.668358649075997 y2[1] (numeric) = 0.6683586490759957 absolute error = 1.221245327087672e-15 relative error = 1.827230527765353e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7438391736157141 y1[1] (numeric) = 0.7438391736157151 absolute error = 9.992007221626409e-16 relative error = 1.343302097556444e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7330000000000005 y2[1] (analytic) = 0.6691021539463428 y2[1] (numeric) = 0.6691021539463415 absolute error = 1.221245327087672e-15 relative error = 1.82520011314387e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7431704431584754 y1[1] (numeric) = 0.7431704431584764 absolute error = 9.992007221626409e-16 relative error = 1.344510847223736e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7340000000000005 y2[1] (analytic) = 0.6698449897145904 y2[1] (numeric) = 0.6698449897145892 absolute error = 1.221245327087672e-15 relative error = 1.823176027050712e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7425009695308554 y1[1] (numeric) = 0.7425009695308564 absolute error = 9.992007221626409e-16 relative error = 1.34572312113475e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7350000000000005 y2[1] (analytic) = 0.6705871556379042 y2[1] (numeric) = 0.6705871556379029 absolute error = 1.221245327087672e-15 relative error = 1.821158244413357e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7418307534023278 y1[1] (numeric) = 0.7418307534023288 absolute error = 9.992007221626409e-16 relative error = 1.346938931258799e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7360000000000005 y2[1] (analytic) = 0.6713286509741182 y2[1] (numeric) = 0.671328650974117 absolute error = 1.221245327087672e-15 relative error = 1.819146740297183e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7411597954431086 y1[1] (numeric) = 0.7411597954431097 absolute error = 1.110223024625157e-15 relative error = 1.497953655137757e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7370000000000005 y2[1] (analytic) = 0.6720694749817371 y2[1] (numeric) = 0.672069474981736 absolute error = 1.110223024625157e-15 relative error = 1.651946809004123e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7404880963241558 y1[1] (numeric) = 0.7404880963241569 absolute error = 1.110223024625157e-15 relative error = 1.49931245368615e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7380000000000005 y2[1] (analytic) = 0.6728096269199371 y2[1] (numeric) = 0.672809626919936 absolute error = 1.110223024625157e-15 relative error = 1.650129516885273e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7398156567171683 y1[1] (numeric) = 0.7398156567171694 absolute error = 1.110223024625157e-15 relative error = 1.500675221651324e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7390000000000005 y2[1] (analytic) = 0.6735491060485662 y2[1] (numeric) = 0.6735491060485651 absolute error = 1.110223024625157e-15 relative error = 1.648317865253174e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7391424772945858 y1[1] (numeric) = 0.7391424772945869 absolute error = 1.110223024625157e-15 relative error = 1.502041972596139e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y2[1] (analytic) = 0.6742879116281455 y2[1] (numeric) = 0.6742879116281443 absolute error = 1.221245327087672e-15 relative error = 1.811163015126336e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7384685587295875 y1[1] (numeric) = 0.7384685587295887 absolute error = 1.221245327087672e-15 relative error = 1.653753992165383e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7410000000000005 y2[1] (analytic) = 0.6750260429198692 y2[1] (numeric) = 0.675026042919868 absolute error = 1.221245327087672e-15 relative error = 1.809182534358372e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7377939016960922 y1[1] (numeric) = 0.7377939016960933 absolute error = 1.110223024625157e-15 relative error = 1.504787478010998e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7420000000000005 y2[1] (analytic) = 0.6757634991856064 y2[1] (numeric) = 0.6757634991856051 absolute error = 1.332267629550188e-15 relative error = 1.971499838561516e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7371185068687565 y1[1] (numeric) = 0.7371185068687577 absolute error = 1.221245327087672e-15 relative error = 1.656782885937111e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7430000000000005 y2[1] (analytic) = 0.6765002796879006 y2[1] (numeric) = 0.6765002796878993 absolute error = 1.332267629550188e-15 relative error = 1.969352666291316e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7364423749229754 y1[1] (numeric) = 0.7364423749229766 absolute error = 1.221245327087672e-15 relative error = 1.658303987756547e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7440000000000005 y2[1] (analytic) = 0.6772363836899715 y2[1] (numeric) = 0.6772363836899702 absolute error = 1.332267629550188e-15 relative error = 1.967212131001041e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7357655065348807 y1[1] (numeric) = 0.7357655065348819 absolute error = 1.221245327087672e-15 relative error = 1.659829546561892e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7450000000000006 y2[1] (analytic) = 0.6779718104557152 y2[1] (numeric) = 0.6779718104557139 absolute error = 1.332267629550188e-15 relative error = 1.965078206798409e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7350879023813409 y1[1] (numeric) = 0.735087902381342 absolute error = 1.110223024625157e-15 relative error = 1.510326888836768e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7460000000000006 y2[1] (analytic) = 0.6787065592497049 y2[1] (numeric) = 0.6787065592497036 absolute error = 1.332267629550188e-15 relative error = 1.962950867931762e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7344095631399599 y1[1] (numeric) = 0.7344095631399611 absolute error = 1.221245327087672e-15 relative error = 1.662894096675772e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7470000000000006 y2[1] (analytic) = 0.679440629337192 y2[1] (numeric) = 0.6794406293371906 absolute error = 1.332267629550188e-15 relative error = 1.960830088789129e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.733730489489077 y1[1] (numeric) = 0.7337304894890782 absolute error = 1.110223024625157e-15 relative error = 1.513121017225609e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7480000000000006 y2[1] (analytic) = 0.6801740199841063 y2[1] (numeric) = 0.680174019984105 absolute error = 1.332267629550188e-15 relative error = 1.9587158438973e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7330506821077657 y1[1] (numeric) = 0.7330506821077669 absolute error = 1.221245327087672e-15 relative error = 1.665976660135127e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7490000000000006 y2[1] (analytic) = 0.6809067304570573 y2[1] (numeric) = 0.680906730457056 absolute error = 1.332267629550188e-15 relative error = 1.956608107920898e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7323701416758335 y1[1] (numeric) = 0.7323701416758346 absolute error = 1.110223024625157e-15 relative error = 1.515931578101624e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y2[1] (analytic) = 0.6816387600233346 y2[1] (numeric) = 0.6816387600233332 absolute error = 1.332267629550188e-15 relative error = 1.954506855661466e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7316888688738205 y1[1] (numeric) = 0.7316888688738217 absolute error = 1.221245327087672e-15 relative error = 1.669077362031423e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7510000000000006 y2[1] (analytic) = 0.6823701079509087 y2[1] (numeric) = 0.6823701079509074 absolute error = 1.332267629550188e-15 relative error = 1.952412062056555e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7310068643829997 y1[1] (numeric) = 0.7310068643830009 absolute error = 1.221245327087672e-15 relative error = 1.670634554325908e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7520000000000006 y2[1] (analytic) = 0.6831007735084317 y2[1] (numeric) = 0.6831007735084303 absolute error = 1.332267629550188e-15 relative error = 1.950323702178831e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7303241288853753 y1[1] (numeric) = 0.7303241288853766 absolute error = 1.221245327087672e-15 relative error = 1.672196328706192e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7530000000000006 y2[1] (analytic) = 0.683830755965238 y2[1] (numeric) = 0.6838307559652368 absolute error = 1.221245327087672e-15 relative error = 1.785888271965576e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.729640663063683 y1[1] (numeric) = 0.7296406630636842 absolute error = 1.221245327087672e-15 relative error = 1.67376270116278e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7540000000000006 y2[1] (analytic) = 0.6845600545913455 y2[1] (numeric) = 0.6845600545913442 absolute error = 1.332267629550188e-15 relative error = 1.94616618456579e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7289564676013884 y1[1] (numeric) = 0.7289564676013897 absolute error = 1.221245327087672e-15 relative error = 1.675333687766221e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7550000000000006 y2[1] (analytic) = 0.6852886686574553 y2[1] (numeric) = 0.6852886686574541 absolute error = 1.221245327087672e-15 relative error = 1.782088896173063e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7282715431826871 y1[1] (numeric) = 0.7282715431826883 absolute error = 1.221245327087672e-15 relative error = 1.67690930466759e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7560000000000006 y2[1] (analytic) = 0.6860165974349537 y2[1] (numeric) = 0.6860165974349524 absolute error = 1.332267629550188e-15 relative error = 1.942034106072062e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7275858904925031 y1[1] (numeric) = 0.7275858904925043 absolute error = 1.221245327087672e-15 relative error = 1.678489568098978e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7570000000000006 y2[1] (analytic) = 0.6867438401959117 y2[1] (numeric) = 0.6867438401959104 absolute error = 1.332267629550188e-15 relative error = 1.939977545586901e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7268995102164894 y1[1] (numeric) = 0.7268995102164906 absolute error = 1.221245327087672e-15 relative error = 1.680074494373994e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7580000000000006 y2[1] (analytic) = 0.6874703962130868 y2[1] (numeric) = 0.6874703962130855 absolute error = 1.332267629550188e-15 relative error = 1.937927272052659e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7262124030410259 y1[1] (numeric) = 0.7262124030410272 absolute error = 1.332267629550188e-15 relative error = 1.834542654423549e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7590000000000006 y2[1] (analytic) = 0.688196264759923 y2[1] (numeric) = 0.6881962647599217 absolute error = 1.332267629550188e-15 relative error = 1.935883261463136e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.72552456965322 y1[1] (numeric) = 0.7255245696532212 absolute error = 1.221245327087672e-15 relative error = 1.683258401119886e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y2[1] (analytic) = 0.6889214451105518 y2[1] (numeric) = 0.6889214451105504 absolute error = 1.332267629550188e-15 relative error = 1.93384548994029e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7248360107409048 y1[1] (numeric) = 0.7248360107409061 absolute error = 1.332267629550188e-15 relative error = 1.838026270505497e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7610000000000006 y2[1] (analytic) = 0.6896459365397928 y2[1] (numeric) = 0.6896459365397914 absolute error = 1.332267629550188e-15 relative error = 1.931813933733394e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7241467269926393 y1[1] (numeric) = 0.7241467269926406 absolute error = 1.332267629550188e-15 relative error = 1.839775807705515e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7620000000000006 y2[1] (analytic) = 0.6903697383231548 y2[1] (numeric) = 0.6903697383231534 absolute error = 1.443289932012704e-15 relative error = 2.090604283319723e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7234567190977071 y1[1] (numeric) = 0.7234567190977085 absolute error = 1.332267629550188e-15 relative error = 1.841530521980344e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7630000000000006 y2[1] (analytic) = 0.691092849736836 y2[1] (numeric) = 0.6910928497368346 absolute error = 1.443289932012704e-15 relative error = 2.088416820637487e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7227659877461162 y1[1] (numeric) = 0.7227659877461176 absolute error = 1.332267629550188e-15 relative error = 1.843290431671737e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7640000000000006 y2[1] (analytic) = 0.691815270057725 y2[1] (numeric) = 0.6918152700577237 absolute error = 1.332267629550188e-15 relative error = 1.92575632139346e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7220745336285977 y1[1] (numeric) = 0.7220745336285991 absolute error = 1.332267629550188e-15 relative error = 1.845055555214257e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7650000000000006 y2[1] (analytic) = 0.6925369985634017 y2[1] (numeric) = 0.6925369985634003 absolute error = 1.332267629550188e-15 relative error = 1.923749391460446e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7213823574366058 y1[1] (numeric) = 0.7213823574366072 absolute error = 1.332267629550188e-15 relative error = 1.846825911135851e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7660000000000006 y2[1] (analytic) = 0.6932580345321375 y2[1] (numeric) = 0.6932580345321361 absolute error = 1.443289932012704e-15 relative error = 2.08189427330149e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7206894598623166 y1[1] (numeric) = 0.7206894598623179 absolute error = 1.332267629550188e-15 relative error = 1.848601518058429e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7670000000000006 y2[1] (analytic) = 0.6939783772428966 y2[1] (numeric) = 0.6939783772428951 absolute error = 1.443289932012704e-15 relative error = 2.079733287579857e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7199958415986276 y1[1] (numeric) = 0.7199958415986288 absolute error = 1.221245327087672e-15 relative error = 1.696183861806904e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7680000000000006 y2[1] (analytic) = 0.6946980259753361 y2[1] (numeric) = 0.6946980259753347 absolute error = 1.443289932012704e-15 relative error = 2.077578858794605e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7193015033391569 y1[1] (numeric) = 0.7193015033391582 absolute error = 1.332267629550188e-15 relative error = 1.852168559867464e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7690000000000006 y2[1] (analytic) = 0.6954169800098077 y2[1] (numeric) = 0.6954169800098062 absolute error = 1.443289932012704e-15 relative error = 2.075430962287329e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7186064457782428 y1[1] (numeric) = 0.7186064457782442 absolute error = 1.332267629550188e-15 relative error = 1.853960032472791e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y2[1] (analytic) = 0.6961352386273572 y2[1] (numeric) = 0.6961352386273557 absolute error = 1.443289932012704e-15 relative error = 2.073289573529692e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.717910669610943 y1[1] (numeric) = 0.7179106696109443 absolute error = 1.332267629550188e-15 relative error = 1.855756831518026e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7710000000000006 y2[1] (analytic) = 0.696852801109726 y2[1] (numeric) = 0.6968528011097246 absolute error = 1.443289932012704e-15 relative error = 2.071154668122578e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7172141755330332 y1[1] (numeric) = 0.7172141755330346 absolute error = 1.332267629550188e-15 relative error = 1.857558976103682e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7720000000000006 y2[1] (analytic) = 0.6975696667393518 y2[1] (numeric) = 0.6975696667393504 absolute error = 1.443289932012704e-15 relative error = 2.069026221795265e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7165169642410077 y1[1] (numeric) = 0.7165169642410091 absolute error = 1.332267629550188e-15 relative error = 1.859366485427784e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7730000000000006 y2[1] (analytic) = 0.698285834799369 y2[1] (numeric) = 0.6982858347993676 absolute error = 1.443289932012704e-15 relative error = 2.066904210404595e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7158190364320778 y1[1] (numeric) = 0.7158190364320791 absolute error = 1.332267629550188e-15 relative error = 1.861179378786475e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7740000000000006 y2[1] (analytic) = 0.6990013045736096 y2[1] (numeric) = 0.6990013045736082 absolute error = 1.443289932012704e-15 relative error = 2.064788609934154e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7151203928041709 y1[1] (numeric) = 0.7151203928041723 absolute error = 1.332267629550188e-15 relative error = 1.862997675574631e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7750000000000006 y2[1] (analytic) = 0.699716075346604 y2[1] (numeric) = 0.6997160753466025 absolute error = 1.443289932012704e-15 relative error = 2.062679396493457e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7144210340559309 y1[1] (numeric) = 0.7144210340559323 absolute error = 1.332267629550188e-15 relative error = 1.864821395286476e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7760000000000006 y2[1] (analytic) = 0.7004301464035813 y2[1] (numeric) = 0.7004301464035798 absolute error = 1.443289932012704e-15 relative error = 2.060576546317145e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7137209608867164 y1[1] (numeric) = 0.7137209608867178 absolute error = 1.332267629550188e-15 relative error = 1.866650557516201e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7770000000000006 y2[1] (analytic) = 0.7011435170304704 y2[1] (numeric) = 0.7011435170304691 absolute error = 1.332267629550188e-15 relative error = 1.900135417628471e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7130201739966004 y1[1] (numeric) = 0.7130201739966019 absolute error = 1.443289932012704e-15 relative error = 2.024192280455146e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7780000000000006 y2[1] (analytic) = 0.701856186513901 y2[1] (numeric) = 0.7018561865138997 absolute error = 1.332267629550188e-15 relative error = 1.898206007369575e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.71231867408637 y1[1] (numeric) = 0.7123186740863714 absolute error = 1.443289932012704e-15 relative error = 2.026185729110482e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7790000000000006 y2[1] (analytic) = 0.7025681541412037 y2[1] (numeric) = 0.7025681541412023 absolute error = 1.332267629550188e-15 relative error = 1.896282405767037e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7116164618575247 y1[1] (numeric) = 0.7116164618575261 absolute error = 1.443289932012704e-15 relative error = 2.028185138164594e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y2[1] (analytic) = 0.7032794192004106 y2[1] (numeric) = 0.7032794192004094 absolute error = 1.221245327087672e-15 relative error = 1.736500875393396e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.710913538012277 y1[1] (numeric) = 0.7109135380122783 absolute error = 1.332267629550188e-15 relative error = 1.874022027031901e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7810000000000006 y2[1] (analytic) = 0.703989980980257 y2[1] (numeric) = 0.7039899809802558 absolute error = 1.221245327087672e-15 relative error = 1.734748164153094e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7102099032535504 y1[1] (numeric) = 0.7102099032535517 absolute error = 1.332267629550188e-15 relative error = 1.875878699306954e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7820000000000006 y2[1] (analytic) = 0.7046998387701811 y2[1] (numeric) = 0.7046998387701798 absolute error = 1.221245327087672e-15 relative error = 1.733000718744238e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7095055582849797 y1[1] (numeric) = 0.7095055582849811 absolute error = 1.332267629550188e-15 relative error = 1.877740933799802e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7830000000000006 y2[1] (analytic) = 0.7054089918603251 y2[1] (numeric) = 0.7054089918603239 absolute error = 1.221245327087672e-15 relative error = 1.73125851978009e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.70880050381091 y1[1] (numeric) = 0.7088005038109113 absolute error = 1.332267629550188e-15 relative error = 1.879608750822224e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7840000000000006 y2[1] (analytic) = 0.7061174395415361 y2[1] (numeric) = 0.7061174395415348 absolute error = 1.221245327087672e-15 relative error = 1.729521547974506e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7080947405363954 y1[1] (numeric) = 0.7080947405363968 absolute error = 1.332267629550188e-15 relative error = 1.881482170791114e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7850000000000006 y2[1] (analytic) = 0.7068251811053663 y2[1] (numeric) = 0.7068251811053651 absolute error = 1.221245327087672e-15 relative error = 1.727789784141294e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7073882691671993 y1[1] (numeric) = 0.7073882691672007 absolute error = 1.332267629550188e-15 relative error = 1.883361214229142e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7860000000000006 y2[1] (analytic) = 0.7075322158440744 y2[1] (numeric) = 0.7075322158440731 absolute error = 1.332267629550188e-15 relative error = 1.882978046393003e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7066810904097931 y1[1] (numeric) = 0.7066810904097943 absolute error = 1.221245327087672e-15 relative error = 1.728142076618311e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7870000000000006 y2[1] (analytic) = 0.7082385430506256 y2[1] (numeric) = 0.7082385430506243 absolute error = 1.332267629550188e-15 relative error = 1.881100149974408e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7059732049713553 y1[1] (numeric) = 0.7059732049713565 absolute error = 1.221245327087672e-15 relative error = 1.729874899624872e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7880000000000006 y2[1] (analytic) = 0.7089441620186927 y2[1] (numeric) = 0.7089441620186915 absolute error = 1.221245327087672e-15 relative error = 1.722625550100054e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7052646135597713 y1[1] (numeric) = 0.7052646135597725 absolute error = 1.221245327087672e-15 relative error = 1.731612934503443e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7890000000000006 y2[1] (analytic) = 0.7096490720426569 y2[1] (numeric) = 0.7096490720426557 absolute error = 1.221245327087672e-15 relative error = 1.720914428271476e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7045553168836326 y1[1] (numeric) = 0.7045553168836338 absolute error = 1.221245327087672e-15 relative error = 1.733356200460522e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y2[1] (analytic) = 0.7103532724176083 y2[1] (numeric) = 0.710353272417607 absolute error = 1.221245327087672e-15 relative error = 1.719208419961662e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7038453156522356 y1[1] (numeric) = 0.703845315652237 absolute error = 1.332267629550188e-15 relative error = 1.892841509239298e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7910000000000006 y2[1] (analytic) = 0.7110567624393463 y2[1] (numeric) = 0.7110567624393451 absolute error = 1.221245327087672e-15 relative error = 1.717507506571032e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7031346105755818 y1[1] (numeric) = 0.703134610575583 absolute error = 1.221245327087672e-15 relative error = 1.736858502937251e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7920000000000006 y2[1] (analytic) = 0.7117595414043812 y2[1] (numeric) = 0.71175954140438 absolute error = 1.221245327087672e-15 relative error = 1.715811669595631e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7024232023643759 y1[1] (numeric) = 0.7024232023643772 absolute error = 1.221245327087672e-15 relative error = 1.738617578372876e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7930000000000006 y2[1] (analytic) = 0.712461608609934 y2[1] (numeric) = 0.7124616086099328 absolute error = 1.221245327087672e-15 relative error = 1.714120890626533e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7017110917300262 y1[1] (numeric) = 0.7017110917300274 absolute error = 1.221245327087672e-15 relative error = 1.74038196272025e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7940000000000006 y2[1] (analytic) = 0.7131629633539376 y2[1] (numeric) = 0.7131629633539364 absolute error = 1.221245327087672e-15 relative error = 1.712435151349239e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7009982793846432 y1[1] (numeric) = 0.7009982793846444 absolute error = 1.221245327087672e-15 relative error = 1.742151675692724e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7950000000000006 y2[1] (analytic) = 0.7138636049350372 y2[1] (numeric) = 0.713863604935036 absolute error = 1.221245327087672e-15 relative error = 1.710754433543096e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.7002847660410393 y1[1] (numeric) = 0.7002847660410405 absolute error = 1.221245327087672e-15 relative error = 1.743926737106977e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7960000000000006 y2[1] (analytic) = 0.7145635326525914 y2[1] (numeric) = 0.7145635326525902 absolute error = 1.221245327087672e-15 relative error = 1.709078719080702e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6995705524127277 y1[1] (numeric) = 0.6995705524127289 absolute error = 1.221245327087672e-15 relative error = 1.745707166883678e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7970000000000006 y2[1] (analytic) = 0.7152627458066725 y2[1] (numeric) = 0.7152627458066713 absolute error = 1.221245327087672e-15 relative error = 1.707407989927328e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6988556392139219 y1[1] (numeric) = 0.6988556392139232 absolute error = 1.332267629550188e-15 relative error = 1.906355983688895e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7980000000000006 y2[1] (analytic) = 0.7159612436980674 y2[1] (numeric) = 0.7159612436980661 absolute error = 1.221245327087672e-15 relative error = 1.705742228140343e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6981400271595353 y1[1] (numeric) = 0.6981400271595365 absolute error = 1.221245327087672e-15 relative error = 1.749284211731065e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7990000000000006 y2[1] (analytic) = 0.7166590256282782 y2[1] (numeric) = 0.716659025628277 absolute error = 1.221245327087672e-15 relative error = 1.704081415868634e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6974237169651796 y1[1] (numeric) = 0.6974237169651808 absolute error = 1.221245327087672e-15 relative error = 1.751080867169084e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y2[1] (analytic) = 0.7173560908995231 y2[1] (numeric) = 0.7173560908995219 absolute error = 1.221245327087672e-15 relative error = 1.702425535352047e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6967067093471649 y1[1] (numeric) = 0.6967067093471663 absolute error = 1.332267629550188e-15 relative error = 1.912235969133357e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8010000000000006 y2[1] (analytic) = 0.718052438814737 y2[1] (numeric) = 0.7180524388147357 absolute error = 1.332267629550188e-15 relative error = 1.855390438822704e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6959890050224992 y1[1] (numeric) = 0.6959890050225005 absolute error = 1.332267629550188e-15 relative error = 1.914207868135963e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8020000000000006 y2[1] (analytic) = 0.7187480686775719 y2[1] (numeric) = 0.7187480686775706 absolute error = 1.332267629550188e-15 relative error = 1.853594726176355e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6952706047088864 y1[1] (numeric) = 0.6952706047088877 absolute error = 1.332267629550188e-15 relative error = 1.916185756347366e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8030000000000006 y2[1] (analytic) = 0.7194429797923979 y2[1] (numeric) = 0.7194429797923967 absolute error = 1.221245327087672e-15 relative error = 1.697487308083921e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6945515091247267 y1[1] (numeric) = 0.6945515091247281 absolute error = 1.332267629550188e-15 relative error = 1.918169656314059e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8040000000000006 y2[1] (analytic) = 0.7201371714643041 y2[1] (numeric) = 0.7201371714643029 absolute error = 1.221245327087672e-15 relative error = 1.695850978785654e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6938317189891159 y1[1] (numeric) = 0.6938317189891172 absolute error = 1.332267629550188e-15 relative error = 1.920159590701974e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8050000000000006 y2[1] (analytic) = 0.7208306429990989 y2[1] (numeric) = 0.7208306429990977 absolute error = 1.221245327087672e-15 relative error = 1.694219493786419e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6931112350218438 y1[1] (numeric) = 0.6931112350218452 absolute error = 1.443289932012704e-15 relative error = 2.082335214155369e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8060000000000006 y2[1] (analytic) = 0.7215233937033108 y2[1] (numeric) = 0.7215233937033095 absolute error = 1.221245327087672e-15 relative error = 1.692592835860075e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6923900579433945 y1[1] (numeric) = 0.6923900579433959 absolute error = 1.443289932012704e-15 relative error = 2.084504125174336e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8070000000000006 y2[1] (analytic) = 0.7222154228841891 y2[1] (numeric) = 0.7222154228841878 absolute error = 1.221245327087672e-15 relative error = 1.69097098786757e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6916681884749449 y1[1] (numeric) = 0.6916681884749464 absolute error = 1.443289932012704e-15 relative error = 2.086679647932059e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8080000000000006 y2[1] (analytic) = 0.7229067298497046 y2[1] (numeric) = 0.7229067298497034 absolute error = 1.221245327087672e-15 relative error = 1.689353932756407e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6909456273383646 y1[1] (numeric) = 0.690945627338366 absolute error = 1.332267629550188e-15 relative error = 1.928180130008638e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8090000000000006 y2[1] (analytic) = 0.7235973139085505 y2[1] (numeric) = 0.7235973139085493 absolute error = 1.221245327087672e-15 relative error = 1.687741653560112e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6902223752562144 y1[1] (numeric) = 0.6902223752562158 absolute error = 1.332267629550188e-15 relative error = 1.930200580726817e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y2[1] (analytic) = 0.7242871743701429 y2[1] (numeric) = 0.7242871743701417 absolute error = 1.221245327087672e-15 relative error = 1.686134133397703e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6894984329517466 y1[1] (numeric) = 0.689498432951748 absolute error = 1.332267629550188e-15 relative error = 1.932227204414001e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8110000000000006 y2[1] (analytic) = 0.7249763105446213 y2[1] (numeric) = 0.72497631054462 absolute error = 1.332267629550188e-15 relative error = 1.8376705696071e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6887738011489032 y1[1] (numeric) = 0.6887738011489046 absolute error = 1.443289932012704e-15 relative error = 2.09544835997716e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8120000000000006 y2[1] (analytic) = 0.7256647217428495 y2[1] (numeric) = 0.7256647217428482 absolute error = 1.221245327087672e-15 relative error = 1.682933303074969e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.688048480572316 y1[1] (numeric) = 0.6880484805723175 absolute error = 1.443289932012704e-15 relative error = 2.097657320327458e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8130000000000006 y2[1] (analytic) = 0.7263524072764164 y2[1] (numeric) = 0.7263524072764151 absolute error = 1.221245327087672e-15 relative error = 1.681339959575466e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6873224719473058 y1[1] (numeric) = 0.6873224719473071 absolute error = 1.332267629550188e-15 relative error = 1.938344349160648e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8140000000000006 y2[1] (analytic) = 0.7270393664576367 y2[1] (numeric) = 0.7270393664576353 absolute error = 1.332267629550188e-15 relative error = 1.832455972833236e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6865957759998808 y1[1] (numeric) = 0.6865957759998821 absolute error = 1.332267629550188e-15 relative error = 1.940395901227361e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8150000000000006 y2[1] (analytic) = 0.727725598599551 y2[1] (numeric) = 0.7277255985995497 absolute error = 1.332267629550188e-15 relative error = 1.830727999831295e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6858683934567369 y1[1] (numeric) = 0.6858683934567383 absolute error = 1.443289932012704e-15 relative error = 2.104324890579381e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8160000000000006 y2[1] (analytic) = 0.7284111030159273 y2[1] (numeric) = 0.728411103015926 absolute error = 1.221245327087672e-15 relative error = 1.676588017441256e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6851403250452568 y1[1] (numeric) = 0.6851403250452582 absolute error = 1.443289932012704e-15 relative error = 2.106561063848296e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8170000000000006 y2[1] (analytic) = 0.7290958790212614 y2[1] (numeric) = 0.7290958790212601 absolute error = 1.332267629550188e-15 relative error = 1.827287285368592e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6844115714935087 y1[1] (numeric) = 0.6844115714935102 absolute error = 1.443289932012704e-15 relative error = 2.108804105785626e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8180000000000006 y2[1] (analytic) = 0.7297799259307771 y2[1] (numeric) = 0.7297799259307758 absolute error = 1.332267629550188e-15 relative error = 1.82557450843963e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6836821335302462 y1[1] (numeric) = 0.6836821335302476 absolute error = 1.443289932012704e-15 relative error = 2.111054042849069e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8190000000000006 y2[1] (analytic) = 0.7304632430604279 y2[1] (numeric) = 0.7304632430604264 absolute error = 1.443289932012704e-15 relative error = 1.975855658343245e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6829520118849072 y1[1] (numeric) = 0.6829520118849086 absolute error = 1.443289932012704e-15 relative error = 2.11331090163906e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y2[1] (analytic) = 0.7311458297268963 y2[1] (numeric) = 0.7311458297268949 absolute error = 1.443289932012704e-15 relative error = 1.974011029443761e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6822212072876132 y1[1] (numeric) = 0.6822212072876146 absolute error = 1.443289932012704e-15 relative error = 2.115574708899714e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8210000000000006 y2[1] (analytic) = 0.731827685247596 y2[1] (numeric) = 0.7318276852475946 absolute error = 1.443289932012704e-15 relative error = 1.972171811899138e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6814897204691687 y1[1] (numeric) = 0.6814897204691701 absolute error = 1.443289932012704e-15 relative error = 2.117845491519779e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8220000000000006 y2[1] (analytic) = 0.7325088089406714 y2[1] (numeric) = 0.7325088089406699 absolute error = 1.443289932012704e-15 relative error = 1.970337986924606e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6807575521610605 y1[1] (numeric) = 0.6807575521610619 absolute error = 1.443289932012704e-15 relative error = 2.120123276533604e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8230000000000006 y2[1] (analytic) = 0.7331892001249989 y2[1] (numeric) = 0.7331892001249974 absolute error = 1.443289932012704e-15 relative error = 1.968509535828736e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6800247030954568 y1[1] (numeric) = 0.6800247030954584 absolute error = 1.554312234475219e-15 relative error = 2.28567025197765e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8240000000000006 y2[1] (analytic) = 0.7338688581201874 y2[1] (numeric) = 0.733868858120186 absolute error = 1.443289932012704e-15 relative error = 1.966686440012873e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6792911740052069 y1[1] (numeric) = 0.6792911740052083 absolute error = 1.443289932012704e-15 relative error = 2.124699962613736e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8250000000000006 y2[1] (analytic) = 0.734547782246579 y2[1] (numeric) = 0.7345477822465776 absolute error = 1.443289932012704e-15 relative error = 1.964868680970584e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6785569656238394 y1[1] (numeric) = 0.6785569656238409 absolute error = 1.554312234475219e-15 relative error = 2.290614219907453e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8260000000000006 y2[1] (analytic) = 0.7352259718252495 y2[1] (numeric) = 0.7352259718252481 absolute error = 1.443289932012704e-15 relative error = 1.9630562402871e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.677822078685563 y1[1] (numeric) = 0.6778220786855644 absolute error = 1.443289932012704e-15 relative error = 2.129304986363886e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8270000000000006 y2[1] (analytic) = 0.7359034261780094 y2[1] (numeric) = 0.735903426178008 absolute error = 1.443289932012704e-15 relative error = 1.961249099638765e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6770865139252642 y1[1] (numeric) = 0.6770865139252658 absolute error = 1.554312234475219e-15 relative error = 2.295588824335647e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8280000000000006 y2[1] (analytic) = 0.7365801446274045 y2[1] (numeric) = 0.7365801446274031 absolute error = 1.443289932012704e-15 relative error = 1.959447240792493e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6763502720785081 y1[1] (numeric) = 0.6763502720785095 absolute error = 1.443289932012704e-15 relative error = 2.133938569400283e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8290000000000006 y2[1] (analytic) = 0.7372561264967163 y2[1] (numeric) = 0.7372561264967149 absolute error = 1.443289932012704e-15 relative error = 1.957650645605224e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6756133538815361 y1[1] (numeric) = 0.6756133538815376 absolute error = 1.554312234475219e-15 relative error = 2.300594305227064e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y2[1] (analytic) = 0.7379313711099631 y2[1] (numeric) = 0.7379313711099617 absolute error = 1.443289932012704e-15 relative error = 1.955859296023385e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6748757600712666 y1[1] (numeric) = 0.6748757600712681 absolute error = 1.554312234475219e-15 relative error = 2.303108700053302e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8310000000000006 y2[1] (analytic) = 0.7386058777919003 y2[1] (numeric) = 0.7386058777918988 absolute error = 1.554312234475219e-15 relative error = 2.104386495165614e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6741374913852933 y1[1] (numeric) = 0.6741374913852948 absolute error = 1.443289932012704e-15 relative error = 2.140942983376981e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8320000000000006 y2[1] (analytic) = 0.7392796458680212 y2[1] (numeric) = 0.7392796458680198 absolute error = 1.443289932012704e-15 relative error = 1.952292261905943e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6733985485618847 y1[1] (numeric) = 0.6733985485618862 absolute error = 1.443289932012704e-15 relative error = 2.143292311952565e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8330000000000006 y2[1] (analytic) = 0.7399526746645579 y2[1] (numeric) = 0.7399526746645564 absolute error = 1.554312234475219e-15 relative error = 2.100556275683217e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6726589323399839 y1[1] (numeric) = 0.6726589323399852 absolute error = 1.332267629550188e-15 relative error = 1.980599030946661e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8340000000000006 y2[1] (analytic) = 0.7406249635084816 y2[1] (numeric) = 0.7406249635084801 absolute error = 1.554312234475219e-15 relative error = 2.098649533918147e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6719186434592066 y1[1] (numeric) = 0.6719186434592079 absolute error = 1.332267629550188e-15 relative error = 1.982781163343434e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8350000000000006 y2[1] (analytic) = 0.7412965117275034 y2[1] (numeric) = 0.7412965117275019 absolute error = 1.554312234475219e-15 relative error = 2.096748345480649e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6711776826598418 y1[1] (numeric) = 0.6711776826598432 absolute error = 1.443289932012704e-15 relative error = 2.150384271260364e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8360000000000006 y2[1] (analytic) = 0.7419673186500754 y2[1] (numeric) = 0.7419673186500738 absolute error = 1.554312234475219e-15 relative error = 2.094852691494704e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6704360506828504 y1[1] (numeric) = 0.6704360506828517 absolute error = 1.332267629550188e-15 relative error = 1.987165857494165e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8370000000000006 y2[1] (analytic) = 0.7426373836053904 y2[1] (numeric) = 0.7426373836053889 absolute error = 1.554312234475219e-15 relative error = 2.092962553176723e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6696937482698641 y1[1] (numeric) = 0.6696937482698655 absolute error = 1.443289932012704e-15 relative error = 2.155149179369532e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8380000000000006 y2[1] (analytic) = 0.7433067059233839 y2[1] (numeric) = 0.7433067059233823 absolute error = 1.554312234475219e-15 relative error = 2.091077911834996e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6689507761631853 y1[1] (numeric) = 0.6689507761631868 absolute error = 1.443289932012704e-15 relative error = 2.157542802014216e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8390000000000006 y2[1] (analytic) = 0.7439752849347333 y2[1] (numeric) = 0.7439752849347318 absolute error = 1.554312234475219e-15 relative error = 2.089198748869157e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6682071351057862 y1[1] (numeric) = 0.6682071351057877 absolute error = 1.443289932012704e-15 relative error = 2.159943909883888e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y2[1] (analytic) = 0.7446431199708597 y2[1] (numeric) = 0.7446431199708582 absolute error = 1.554312234475219e-15 relative error = 2.087325045769636e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6674628258413077 y1[1] (numeric) = 0.6674628258413091 absolute error = 1.443289932012704e-15 relative error = 2.162352532807351e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8410000000000006 y2[1] (analytic) = 0.7453102103639283 y2[1] (numeric) = 0.7453102103639268 absolute error = 1.554312234475219e-15 relative error = 2.085456784117129e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6667178491140588 y1[1] (numeric) = 0.6667178491140603 absolute error = 1.443289932012704e-15 relative error = 2.164768700778839e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8420000000000006 y2[1] (analytic) = 0.7459765554468486 y2[1] (numeric) = 0.745976555446847 absolute error = 1.554312234475219e-15 relative error = 2.083593945582067e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6659722056690165 y1[1] (numeric) = 0.6659722056690179 absolute error = 1.443289932012704e-15 relative error = 2.167192443959153e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8430000000000006 y2[1] (analytic) = 0.7466421545532756 y2[1] (numeric) = 0.7466421545532741 absolute error = 1.554312234475219e-15 relative error = 2.081736511924084e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.665225896251824 y1[1] (numeric) = 0.6652258962518254 absolute error = 1.332267629550188e-15 relative error = 2.002729654778581e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8440000000000006 y2[1] (analytic) = 0.7473070070176103 y2[1] (numeric) = 0.7473070070176088 absolute error = 1.554312234475219e-15 relative error = 2.079884464991497e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6644789216087906 y1[1] (numeric) = 0.6644789216087921 absolute error = 1.443289932012704e-15 relative error = 2.172062777429131e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8450000000000006 y2[1] (analytic) = 0.7479711121750002 y2[1] (numeric) = 0.7479711121749987 absolute error = 1.554312234475219e-15 relative error = 2.078037786720782e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6637312824868911 y1[1] (numeric) = 0.6637312824868925 absolute error = 1.443289932012704e-15 relative error = 2.174509428883532e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8460000000000006 y2[1] (analytic) = 0.7486344693613404 y2[1] (numeric) = 0.7486344693613388 absolute error = 1.554312234475219e-15 relative error = 2.076196459136062e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6629829796337644 y1[1] (numeric) = 0.6629829796337657 absolute error = 1.332267629550188e-15 relative error = 2.009505025734054e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8470000000000006 y2[1] (analytic) = 0.7492970779132735 y2[1] (numeric) = 0.7492970779132719 absolute error = 1.554312234475219e-15 relative error = 2.074360464348589e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6622340137977132 y1[1] (numeric) = 0.6622340137977146 absolute error = 1.443289932012704e-15 relative error = 2.179425855425138e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8480000000000006 y2[1] (analytic) = 0.7499589371681911 y2[1] (numeric) = 0.7499589371681896 absolute error = 1.443289932012704e-15 relative error = 1.924491942802225e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6614843857277035 y1[1] (numeric) = 0.6614843857277048 absolute error = 1.332267629550188e-15 relative error = 2.014057562499455e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8490000000000006 y2[1] (analytic) = 0.7506200464642341 y2[1] (numeric) = 0.7506200464642326 absolute error = 1.443289932012704e-15 relative error = 1.922796944754225e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6607340961733631 y1[1] (numeric) = 0.6607340961733645 absolute error = 1.443289932012704e-15 relative error = 2.184373321085603e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y2[1] (analytic) = 0.7512804051402932 y2[1] (numeric) = 0.7512804051402917 absolute error = 1.443289932012704e-15 relative error = 1.921106849237184e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6599831458849816 y1[1] (numeric) = 0.6599831458849831 absolute error = 1.443289932012704e-15 relative error = 2.186858772093905e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8510000000000006 y2[1] (analytic) = 0.7519400125360096 y2[1] (numeric) = 0.7519400125360083 absolute error = 1.332267629550188e-15 relative error = 1.771773821500671e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6592315356135093 y1[1] (numeric) = 0.6592315356135108 absolute error = 1.443289932012704e-15 relative error = 2.189352077445014e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8520000000000006 y2[1] (analytic) = 0.7525988679917763 y2[1] (numeric) = 0.7525988679917749 absolute error = 1.443289932012704e-15 relative error = 1.917741300706387e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6584792661105563 y1[1] (numeric) = 0.6584792661105577 absolute error = 1.443289932012704e-15 relative error = 2.191853269029704e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8530000000000006 y2[1] (analytic) = 0.7532569708487377 y2[1] (numeric) = 0.7532569708487362 absolute error = 1.443289932012704e-15 relative error = 1.916065815343821e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6577263381283921 y1[1] (numeric) = 0.6577263381283934 absolute error = 1.332267629550188e-15 relative error = 2.02556527284775e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8540000000000006 y2[1] (analytic) = 0.753914320448791 y2[1] (numeric) = 0.7539143204487895 absolute error = 1.554312234475219e-15 relative error = 2.061656334568584e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6569727524199445 y1[1] (numeric) = 0.6569727524199459 absolute error = 1.443289932012704e-15 relative error = 2.196879439362405e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8550000000000006 y2[1] (analytic) = 0.7545709161345867 y2[1] (numeric) = 0.7545709161345852 absolute error = 1.554312234475219e-15 relative error = 2.059862368453635e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6562185097387992 y1[1] (numeric) = 0.6562185097388007 absolute error = 1.443289932012704e-15 relative error = 2.199404482795204e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8560000000000006 y2[1] (analytic) = 0.7552267572495291 y2[1] (numeric) = 0.7552267572495276 absolute error = 1.554312234475219e-15 relative error = 2.058073577975296e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6554636108391989 y1[1] (numeric) = 0.6554636108392004 absolute error = 1.443289932012704e-15 relative error = 2.201937541833695e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8570000000000007 y2[1] (analytic) = 0.7558818431377772 y2[1] (numeric) = 0.7558818431377757 absolute error = 1.443289932012704e-15 relative error = 1.909412092796665e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6547080564760425 y1[1] (numeric) = 0.6547080564760438 absolute error = 1.332267629550188e-15 relative error = 2.034903368565679e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8580000000000007 y2[1] (analytic) = 0.7565361731442451 y2[1] (numeric) = 0.7565361731442437 absolute error = 1.443289932012704e-15 relative error = 1.907760637557139e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.653951847404884 y1[1] (numeric) = 0.6539518474048853 absolute error = 1.332267629550188e-15 relative error = 2.037256465957096e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8590000000000007 y2[1] (analytic) = 0.757189746614603 y2[1] (numeric) = 0.7571897466146016 absolute error = 1.443289932012704e-15 relative error = 1.906113941011029e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6531949843819327 y1[1] (numeric) = 0.653194984381934 absolute error = 1.332267629550188e-15 relative error = 2.039617053720657e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y2[1] (analytic) = 0.7578425628952774 y2[1] (numeric) = 0.757842562895276 absolute error = 1.443289932012704e-15 relative error = 1.904471987557322e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6524374681640513 y1[1] (numeric) = 0.6524374681640527 absolute error = 1.332267629550188e-15 relative error = 2.041985162653469e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8610000000000007 y2[1] (analytic) = 0.758494621333452 y2[1] (numeric) = 0.7584946213334506 absolute error = 1.443289932012704e-15 relative error = 1.902834761669588e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6516792995087562 y1[1] (numeric) = 0.6516792995087576 absolute error = 1.332267629550188e-15 relative error = 2.044360823727971e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8620000000000007 y2[1] (analytic) = 0.7591459212770685 y2[1] (numeric) = 0.759145921277067 absolute error = 1.443289932012704e-15 relative error = 1.901202247895553e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.650920479174216 y1[1] (numeric) = 0.6509204791742172 absolute error = 1.221245327087672e-15 relative error = 1.876182062418736e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8630000000000007 y2[1] (analytic) = 0.759796462074827 y2[1] (numeric) = 0.7597964620748255 absolute error = 1.443289932012704e-15 relative error = 1.899574430856673e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6501610079192508 y1[1] (numeric) = 0.650161007919252 absolute error = 1.221245327087672e-15 relative error = 1.87837368315288e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8640000000000007 y2[1] (analytic) = 0.7604462430761867 y2[1] (numeric) = 0.7604462430761852 absolute error = 1.443289932012704e-15 relative error = 1.89795129524771e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6494008865033318 y1[1] (numeric) = 0.6494008865033331 absolute error = 1.221245327087672e-15 relative error = 1.880572312833464e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8650000000000007 y2[1] (analytic) = 0.7610952636313667 y2[1] (numeric) = 0.7610952636313653 absolute error = 1.443289932012704e-15 relative error = 1.896332825836313e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6486401156865804 y1[1] (numeric) = 0.6486401156865818 absolute error = 1.332267629550188e-15 relative error = 2.053939615097647e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8660000000000007 y2[1] (analytic) = 0.7617435230913465 y2[1] (numeric) = 0.7617435230913451 absolute error = 1.443289932012704e-15 relative error = 1.894719007462604e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6478786962297675 y1[1] (numeric) = 0.6478786962297688 absolute error = 1.332267629550188e-15 relative error = 2.056353507690743e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8670000000000007 y2[1] (analytic) = 0.7623910208078667 y2[1] (numeric) = 0.7623910208078652 absolute error = 1.443289932012704e-15 relative error = 1.893109825038762e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6471166288943122 y1[1] (numeric) = 0.6471166288943135 absolute error = 1.332267629550188e-15 relative error = 2.058775142011959e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8680000000000007 y2[1] (analytic) = 0.7630377561334296 y2[1] (numeric) = 0.7630377561334282 absolute error = 1.443289932012704e-15 relative error = 1.891505263548611e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6463539144422821 y1[1] (numeric) = 0.6463539144422834 absolute error = 1.332267629550188e-15 relative error = 2.061204550296193e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8690000000000007 y2[1] (analytic) = 0.7636837284212999 y2[1] (numeric) = 0.7636837284212985 absolute error = 1.443289932012704e-15 relative error = 1.889905308047216e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6455905536363913 y1[1] (numeric) = 0.6455905536363926 absolute error = 1.332267629550188e-15 relative error = 2.063641764963844e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y2[1] (analytic) = 0.7643289370255055 y2[1] (numeric) = 0.7643289370255041 absolute error = 1.443289932012704e-15 relative error = 1.888309943660476e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6448265472400007 y1[1] (numeric) = 0.644826547240002 absolute error = 1.332267629550188e-15 relative error = 2.066086818622134e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8710000000000007 y2[1] (analytic) = 0.7649733813008378 y2[1] (numeric) = 0.7649733813008364 absolute error = 1.443289932012704e-15 relative error = 1.886719155584718e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6440618960171166 y1[1] (numeric) = 0.6440618960171178 absolute error = 1.221245327087672e-15 relative error = 1.896161432060897e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8720000000000007 y2[1] (analytic) = 0.7656170606028525 y2[1] (numeric) = 0.7656170606028511 absolute error = 1.443289932012704e-15 relative error = 1.885132929086306e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6432966007323901 y1[1] (numeric) = 0.6432966007323914 absolute error = 1.221245327087672e-15 relative error = 1.898417193091476e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8730000000000007 y2[1] (analytic) = 0.7662599742878703 y2[1] (numeric) = 0.766259974287869 absolute error = 1.332267629550188e-15 relative error = 1.738662691847295e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6425306621511165 y1[1] (numeric) = 0.6425306621511178 absolute error = 1.221245327087672e-15 relative error = 1.900680230573102e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8740000000000007 y2[1] (analytic) = 0.7669021217129778 y2[1] (numeric) = 0.7669021217129764 absolute error = 1.332267629550188e-15 relative error = 1.737206863601304e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6417640810392343 y1[1] (numeric) = 0.6417640810392355 absolute error = 1.221245327087672e-15 relative error = 1.902950575093048e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8750000000000007 y2[1] (analytic) = 0.7675435022360275 y2[1] (numeric) = 0.7675435022360261 absolute error = 1.443289932012704e-15 relative error = 1.880401472760924e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6409968581633246 y1[1] (numeric) = 0.6409968581633259 absolute error = 1.221245327087672e-15 relative error = 1.905228257416047e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8760000000000007 y2[1] (analytic) = 0.7681841152156389 y2[1] (numeric) = 0.7681841152156375 absolute error = 1.443289932012704e-15 relative error = 1.878833346622318e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6402289942906101 y1[1] (numeric) = 0.6402289942906114 absolute error = 1.332267629550188e-15 relative error = 2.080923609256988e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8770000000000007 y2[1] (analytic) = 0.768823960011199 y2[1] (numeric) = 0.7688239600111977 absolute error = 1.332267629550188e-15 relative error = 1.732864347165743e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6394604901889547 y1[1] (numeric) = 0.639460490188956 absolute error = 1.332267629550188e-15 relative error = 2.083424464827397e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8780000000000007 y2[1] (analytic) = 0.7694630359828633 y2[1] (numeric) = 0.7694630359828619 absolute error = 1.332267629550188e-15 relative error = 1.731425120179339e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6386913466268623 y1[1] (numeric) = 0.6386913466268637 absolute error = 1.332267629550188e-15 relative error = 2.08593342713398e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8790000000000007 y2[1] (analytic) = 0.7701013424915557 y2[1] (numeric) = 0.7701013424915543 absolute error = 1.443289932012704e-15 relative error = 1.874155844662132e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6379215643734767 y1[1] (numeric) = 0.6379215643734779 absolute error = 1.221245327087672e-15 relative error = 1.91441298631611e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y2[1] (analytic) = 0.7707388788989697 y2[1] (numeric) = 0.7707388788989683 absolute error = 1.443289932012704e-15 relative error = 1.872605588645663e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6371511441985797 y1[1] (numeric) = 0.637151144198581 absolute error = 1.332267629550188e-15 relative error = 2.090975809556049e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8810000000000007 y2[1] (analytic) = 0.7713756445675691 y2[1] (numeric) = 0.7713756445675677 absolute error = 1.443289932012704e-15 relative error = 1.871059764690662e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6363800868725916 y1[1] (numeric) = 0.636380086872593 absolute error = 1.332267629550188e-15 relative error = 2.093509298974841e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8820000000000007 y2[1] (analytic) = 0.7720116388605882 y2[1] (numeric) = 0.7720116388605868 absolute error = 1.443289932012704e-15 relative error = 1.869518358742434e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6356083931665698 y1[1] (numeric) = 0.635608393166571 absolute error = 1.221245327087672e-15 relative error = 1.921380114261059e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8830000000000007 y2[1] (analytic) = 0.7726468611420328 y2[1] (numeric) = 0.7726468611420314 absolute error = 1.443289932012704e-15 relative error = 1.867981356812099e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6348360638522077 y1[1] (numeric) = 0.6348360638522089 absolute error = 1.221245327087672e-15 relative error = 1.923717628259983e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8840000000000007 y2[1] (analytic) = 0.7732813107766806 y2[1] (numeric) = 0.7732813107766793 absolute error = 1.332267629550188e-15 relative error = 1.722875764593436e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6340630997018346 y1[1] (numeric) = 0.6340630997018358 absolute error = 1.221245327087672e-15 relative error = 1.926062765144285e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8850000000000007 y2[1] (analytic) = 0.7739149871300821 y2[1] (numeric) = 0.7739149871300808 absolute error = 1.332267629550188e-15 relative error = 1.721465085578264e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6332895014884147 y1[1] (numeric) = 0.6332895014884159 absolute error = 1.221245327087672e-15 relative error = 1.928415557525255e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8860000000000007 y2[1] (analytic) = 0.7745478895685609 y2[1] (numeric) = 0.7745478895685596 absolute error = 1.332267629550188e-15 relative error = 1.720058433433068e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6325152699855461 y1[1] (numeric) = 0.6325152699855473 absolute error = 1.221245327087672e-15 relative error = 1.930776038206286e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8870000000000007 y2[1] (analytic) = 0.7751800174592148 y2[1] (numeric) = 0.7751800174592134 absolute error = 1.443289932012704e-15 relative error = 1.86187711177506e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6317404059674602 y1[1] (numeric) = 0.6317404059674614 absolute error = 1.221245327087672e-15 relative error = 1.933144240184277e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8880000000000007 y2[1] (analytic) = 0.7758113701699157 y2[1] (numeric) = 0.7758113701699143 absolute error = 1.443289932012704e-15 relative error = 1.860361922378888e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.630964910209021 y1[1] (numeric) = 0.6309649102090222 absolute error = 1.221245327087672e-15 relative error = 1.935520196651043e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8890000000000007 y2[1] (analytic) = 0.7764419470693112 y2[1] (numeric) = 0.7764419470693098 absolute error = 1.443289932012704e-15 relative error = 1.858851054429011e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6301887834857242 y1[1] (numeric) = 0.6301887834857254 absolute error = 1.221245327087672e-15 relative error = 1.93790394099475e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y2[1] (analytic) = 0.7770717475268243 y2[1] (numeric) = 0.7770717475268228 absolute error = 1.443289932012704e-15 relative error = 1.857344494387092e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6294120265736963 y1[1] (numeric) = 0.6294120265736975 absolute error = 1.221245327087672e-15 relative error = 1.940295506801346e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8910000000000007 y2[1] (analytic) = 0.7777007709126547 y2[1] (numeric) = 0.7777007709126531 absolute error = 1.554312234475219e-15 relative error = 1.998599323299099e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6286346402496944 y1[1] (numeric) = 0.6286346402496956 absolute error = 1.221245327087672e-15 relative error = 1.942694927856015e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8920000000000007 y2[1] (analytic) = 0.7783290165977789 y2[1] (numeric) = 0.7783290165977773 absolute error = 1.554312234475219e-15 relative error = 1.996986109125685e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6278566252911046 y1[1] (numeric) = 0.6278566252911059 absolute error = 1.221245327087672e-15 relative error = 1.945102238144646e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8930000000000007 y2[1] (analytic) = 0.7789564839539513 y2[1] (numeric) = 0.7789564839539498 absolute error = 1.554312234475219e-15 relative error = 1.99537749090372e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6270779824759418 y1[1] (numeric) = 0.6270779824759432 absolute error = 1.332267629550188e-15 relative error = 2.124564514751243e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8940000000000007 y2[1] (analytic) = 0.7795831723537047 y2[1] (numeric) = 0.7795831723537032 absolute error = 1.443289932012704e-15 relative error = 1.851361064727893e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6262987125828489 y1[1] (numeric) = 0.6262987125828502 absolute error = 1.332267629550188e-15 relative error = 2.127207996414253e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8950000000000007 y2[1] (analytic) = 0.7802090811703507 y2[1] (numeric) = 0.7802090811703493 absolute error = 1.443289932012704e-15 relative error = 1.849875843341505e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6255188163910955 y1[1] (numeric) = 0.6255188163910969 absolute error = 1.332267629550188e-15 relative error = 2.129860197070729e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8960000000000007 y2[1] (analytic) = 0.7808342097779807 y2[1] (numeric) = 0.7808342097779791 absolute error = 1.554312234475219e-15 relative error = 1.99057906916907e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6247382946805778 y1[1] (numeric) = 0.6247382946805792 absolute error = 1.332267629550188e-15 relative error = 2.13252115468824e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8970000000000007 y2[1] (analytic) = 0.7814585575514659 y2[1] (numeric) = 0.7814585575514643 absolute error = 1.554312234475219e-15 relative error = 1.988988692305483e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6239571482318176 y1[1] (numeric) = 0.6239571482318189 absolute error = 1.332267629550188e-15 relative error = 2.135190907461506e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8980000000000007 y2[1] (analytic) = 0.7820821238664586 y2[1] (numeric) = 0.782082123866457 absolute error = 1.554312234475219e-15 relative error = 1.987402840498397e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6231753778259611 y1[1] (numeric) = 0.6231753778259624 absolute error = 1.332267629550188e-15 relative error = 2.137869493814084e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8990000000000007 y2[1] (analytic) = 0.7827049080993926 y2[1] (numeric) = 0.7827049080993911 absolute error = 1.554312234475219e-15 relative error = 1.985821499764817e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6223929842447787 y1[1] (numeric) = 0.6223929842447801 absolute error = 1.332267629550188e-15 relative error = 2.140556952400069e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y2[1] (analytic) = 0.7833269096274839 y2[1] (numeric) = 0.7833269096274823 absolute error = 1.554312234475219e-15 relative error = 1.984244656186243e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6216099682706639 y1[1] (numeric) = 0.6216099682706653 absolute error = 1.332267629550188e-15 relative error = 2.14325332210581e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9010000000000007 y2[1] (analytic) = 0.7839481278287307 y2[1] (numeric) = 0.7839481278287291 absolute error = 1.554312234475219e-15 relative error = 1.982672295908321e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6208263306866326 y1[1] (numeric) = 0.6208263306866341 absolute error = 1.443289932012704e-15 relative error = 2.324788528889276e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9020000000000007 y2[1] (analytic) = 0.7845685620819149 y2[1] (numeric) = 0.7845685620819135 absolute error = 1.443289932012704e-15 relative error = 1.839596947630452e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6200420722763225 y1[1] (numeric) = 0.6200420722763239 absolute error = 1.443289932012704e-15 relative error = 2.327729030893084e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9030000000000007 y2[1] (analytic) = 0.7851882117666026 y2[1] (numeric) = 0.7851882117666011 absolute error = 1.443289932012704e-15 relative error = 1.838145186573078e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6192571938239917 y1[1] (numeric) = 0.6192571938239931 absolute error = 1.443289932012704e-15 relative error = 2.330679314519069e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9040000000000007 y2[1] (analytic) = 0.7858070762631439 y2[1] (numeric) = 0.7858070762631424 absolute error = 1.554312234475219e-15 relative error = 1.97798197728971e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6184716961145187 y1[1] (numeric) = 0.6184716961145201 absolute error = 1.443289932012704e-15 relative error = 2.333639422919458e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9050000000000007 y2[1] (analytic) = 0.7864251549526744 y2[1] (numeric) = 0.786425154952673 absolute error = 1.443289932012704e-15 relative error = 1.835254026302806e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6176855799334011 y1[1] (numeric) = 0.6176855799334026 absolute error = 1.443289932012704e-15 relative error = 2.336609399507625e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9060000000000007 y2[1] (analytic) = 0.7870424472171156 y2[1] (numeric) = 0.787042447217114 absolute error = 1.554312234475219e-15 relative error = 1.974877263572091e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.616898846066755 y1[1] (numeric) = 0.6168988460667565 absolute error = 1.443289932012704e-15 relative error = 2.339589287960062e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9070000000000007 y2[1] (analytic) = 0.7876589524391751 y2[1] (numeric) = 0.7876589524391735 absolute error = 1.554312234475219e-15 relative error = 1.973331515704758e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6161114953013143 y1[1] (numeric) = 0.6161114953013158 absolute error = 1.554312234475219e-15 relative error = 2.522777527004378e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9080000000000007 y2[1] (analytic) = 0.7882746700023476 y2[1] (numeric) = 0.7882746700023462 absolute error = 1.443289932012704e-15 relative error = 1.830948001929842e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6153235284244296 y1[1] (numeric) = 0.6153235284244312 absolute error = 1.554312234475219e-15 relative error = 2.526008128528943e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9090000000000007 y2[1] (analytic) = 0.7888895992909161 y2[1] (numeric) = 0.7888895992909145 absolute error = 1.554312234475219e-15 relative error = 1.970253170877514e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6145349462240678 y1[1] (numeric) = 0.6145349462240693 absolute error = 1.554312234475219e-15 relative error = 2.529249547199055e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y2[1] (analytic) = 0.7895037396899508 y2[1] (numeric) = 0.7895037396899494 absolute error = 1.443289932012704e-15 relative error = 1.828097651037731e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.613745749488811 y1[1] (numeric) = 0.6137457494888126 absolute error = 1.554312234475219e-15 relative error = 2.532501831205848e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9110000000000007 y2[1] (analytic) = 0.7901170905853118 y2[1] (numeric) = 0.7901170905853103 absolute error = 1.443289932012704e-15 relative error = 1.826678538168978e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6129559390078558 y1[1] (numeric) = 0.6129559390078574 absolute error = 1.554312234475219e-15 relative error = 2.535765029034654e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9120000000000007 y2[1] (analytic) = 0.7907296513636479 y2[1] (numeric) = 0.7907296513636465 absolute error = 1.443289932012704e-15 relative error = 1.825263450692265e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6121655155710127 y1[1] (numeric) = 0.6121655155710143 absolute error = 1.554312234475219e-15 relative error = 2.53903918946724e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9130000000000007 y2[1] (analytic) = 0.7913414214123986 y2[1] (numeric) = 0.7913414214123972 absolute error = 1.443289932012704e-15 relative error = 1.823852376432788e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6113744799687051 y1[1] (numeric) = 0.6113744799687066 absolute error = 1.554312234475219e-15 relative error = 2.54232436158405e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9140000000000007 y2[1] (analytic) = 0.7919524001197938 y2[1] (numeric) = 0.7919524001197924 absolute error = 1.443289932012704e-15 relative error = 1.822445303271239e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6105828329919684 y1[1] (numeric) = 0.6105828329919699 absolute error = 1.554312234475219e-15 relative error = 2.545620594766484e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9150000000000007 y2[1] (analytic) = 0.7925625868748549 y2[1] (numeric) = 0.7925625868748535 absolute error = 1.443289932012704e-15 relative error = 1.821042219143506e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6097905754324496 y1[1] (numeric) = 0.6097905754324511 absolute error = 1.443289932012704e-15 relative error = 2.366861657363522e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9160000000000007 y2[1] (analytic) = 0.7931719810673953 y2[1] (numeric) = 0.7931719810673937 absolute error = 1.554312234475219e-15 relative error = 1.959615659120402e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6089977080824062 y1[1] (numeric) = 0.6089977080824077 absolute error = 1.554312234475219e-15 relative error = 2.552246443372326e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9170000000000007 y2[1] (analytic) = 0.7937805820880205 y2[1] (numeric) = 0.793780582088019 absolute error = 1.443289932012704e-15 relative error = 1.818247970007234e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6082042317347055 y1[1] (numeric) = 0.6082042317347069 absolute error = 1.443289932012704e-15 relative error = 2.373035004863723e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9180000000000007 y2[1] (analytic) = 0.7943883893281299 y2[1] (numeric) = 0.7943883893281284 absolute error = 1.554312234475219e-15 relative error = 1.956614995077924e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6074101471828237 y1[1] (numeric) = 0.6074101471828252 absolute error = 1.443289932012704e-15 relative error = 2.376137340982368e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9190000000000007 y2[1] (analytic) = 0.7949954021799162 y2[1] (numeric) = 0.7949954021799146 absolute error = 1.554312234475219e-15 relative error = 1.955121036188661e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6066154552208453 y1[1] (numeric) = 0.6066154552208468 absolute error = 1.554312234475219e-15 relative error = 2.562269426368892e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y2[1] (analytic) = 0.7956016200363665 y2[1] (numeric) = 0.7956016200363649 absolute error = 1.554312234475219e-15 relative error = 1.953631309101875e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6058201566434622 y1[1] (numeric) = 0.6058201566434638 absolute error = 1.554312234475219e-15 relative error = 2.565633080098991e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9210000000000007 y2[1] (analytic) = 0.796207042291263 y2[1] (numeric) = 0.7962070422912615 absolute error = 1.554312234475219e-15 relative error = 1.952145801175458e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6050242522459731 y1[1] (numeric) = 0.6050242522459746 absolute error = 1.443289932012704e-15 relative error = 2.385507567101513e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9220000000000007 y2[1] (analytic) = 0.7968116683391837 y2[1] (numeric) = 0.7968116683391822 absolute error = 1.554312234475219e-15 relative error = 1.95066449982455e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.604227742824282 y1[1] (numeric) = 0.6042277428242836 absolute error = 1.554312234475219e-15 relative error = 2.572394685503931e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9230000000000007 y2[1] (analytic) = 0.7974154975755023 y2[1] (numeric) = 0.7974154975755009 absolute error = 1.443289932012704e-15 relative error = 1.809959721626864e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6034306291748986 y1[1] (numeric) = 0.6034306291749001 absolute error = 1.443289932012704e-15 relative error = 2.391807545444266e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9240000000000007 y2[1] (analytic) = 0.79801852939639 y2[1] (numeric) = 0.7980185293963885 absolute error = 1.443289932012704e-15 relative error = 1.808592004880373e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6026329120949362 y1[1] (numeric) = 0.6026329120949377 absolute error = 1.554312234475219e-15 relative error = 2.579202368937924e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9250000000000007 y2[1] (analytic) = 0.7986207631988146 y2[1] (numeric) = 0.7986207631988131 absolute error = 1.443289932012704e-15 relative error = 1.807228159498027e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.601834592382112 y1[1] (numeric) = 0.6018345923821135 absolute error = 1.443289932012704e-15 relative error = 2.398150505606599e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9260000000000007 y2[1] (analytic) = 0.7992221983805426 y2[1] (numeric) = 0.7992221983805412 absolute error = 1.443289932012704e-15 relative error = 1.805868174003713e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6010356708347455 y1[1] (numeric) = 0.601035670834747 absolute error = 1.443289932012704e-15 relative error = 2.40133822674484e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9270000000000007 y2[1] (analytic) = 0.7998228343401389 y2[1] (numeric) = 0.7998228343401375 absolute error = 1.443289932012704e-15 relative error = 1.804512036973076e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.6002361482517583 y1[1] (numeric) = 0.6002361482517597 absolute error = 1.443289932012704e-15 relative error = 2.404536841402197e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9280000000000007 y2[1] (analytic) = 0.8004226704769675 y2[1] (numeric) = 0.800422670476966 absolute error = 1.443289932012704e-15 relative error = 1.803159737033254e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5994360254326728 y1[1] (numeric) = 0.5994360254326743 absolute error = 1.443289932012704e-15 relative error = 2.407746399577732e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9290000000000007 y2[1] (analytic) = 0.8010217061911923 y2[1] (numeric) = 0.8010217061911908 absolute error = 1.443289932012704e-15 relative error = 1.801811262862596e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5986353031776119 y1[1] (numeric) = 0.5986353031776134 absolute error = 1.443289932012704e-15 relative error = 2.410966951584021e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y2[1] (analytic) = 0.8016199408837775 y2[1] (numeric) = 0.8016199408837762 absolute error = 1.332267629550188e-15 relative error = 1.661969172175753e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5978339822872977 y1[1] (numeric) = 0.5978339822872991 absolute error = 1.443289932012704e-15 relative error = 2.414198548049599e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9310000000000007 y2[1] (analytic) = 0.8022173739564888 y2[1] (numeric) = 0.8022173739564875 absolute error = 1.332267629550188e-15 relative error = 1.660731458581509e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5970320635630509 y1[1] (numeric) = 0.5970320635630524 absolute error = 1.443289932012704e-15 relative error = 2.417441239921416e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9320000000000007 y2[1] (analytic) = 0.802814004811893 y2[1] (numeric) = 0.8028140048118917 absolute error = 1.332267629550188e-15 relative error = 1.659497245395403e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5962295478067905 y1[1] (numeric) = 0.5962295478067918 absolute error = 1.332267629550188e-15 relative error = 2.23448776473908e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9330000000000007 y2[1] (analytic) = 0.8034098328533592 y2[1] (numeric) = 0.803409832853358 absolute error = 1.221245327087672e-15 relative error = 1.520077645490527e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5954264358210318 y1[1] (numeric) = 0.5954264358210332 absolute error = 1.332267629550188e-15 relative error = 2.237501644872599e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9340000000000007 y2[1] (analytic) = 0.8040048574850596 y2[1] (numeric) = 0.8040048574850583 absolute error = 1.221245327087672e-15 relative error = 1.518952672634028e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.594622728408887 y1[1] (numeric) = 0.5946227284088883 absolute error = 1.332267629550188e-15 relative error = 2.240525909790091e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9350000000000007 y2[1] (analytic) = 0.8045990781119695 y2[1] (numeric) = 0.8045990781119682 absolute error = 1.332267629550188e-15 relative error = 1.655815505874575e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5938184263740633 y1[1] (numeric) = 0.5938184263740646 absolute error = 1.221245327087672e-15 relative error = 2.056597223741882e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9360000000000007 y2[1] (analytic) = 0.8051924941398683 y2[1] (numeric) = 0.8051924941398669 absolute error = 1.332267629550188e-15 relative error = 1.65459519213894e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5930135305208627 y1[1] (numeric) = 0.593013530520864 absolute error = 1.332267629550188e-15 relative error = 2.246605787190074e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9370000000000007 y2[1] (analytic) = 0.8057851049753401 y2[1] (numeric) = 0.8057851049753387 absolute error = 1.332267629550188e-15 relative error = 1.653378327948815e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5922080416541811 y1[1] (numeric) = 0.5922080416541824 absolute error = 1.332267629550188e-15 relative error = 2.2496614970456e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9380000000000007 y2[1] (analytic) = 0.8063769100257739 y2[1] (numeric) = 0.8063769100257726 absolute error = 1.332267629550188e-15 relative error = 1.652164903267884e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5914019605795071 y1[1] (numeric) = 0.5914019605795084 absolute error = 1.332267629550188e-15 relative error = 2.252727786436007e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9390000000000007 y2[1] (analytic) = 0.8069679086993651 y2[1] (numeric) = 0.8069679086993637 absolute error = 1.332267629550188e-15 relative error = 1.650954908104682e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5905952881029218 y1[1] (numeric) = 0.5905952881029232 absolute error = 1.332267629550188e-15 relative error = 2.255804704825238e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y2[1] (analytic) = 0.8075581004051147 y2[1] (numeric) = 0.8075581004051134 absolute error = 1.221245327087672e-15 relative error = 1.512269304802998e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5897880250310976 y1[1] (numeric) = 0.589788025031099 absolute error = 1.332267629550188e-15 relative error = 2.258892301992638e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9410000000000007 y2[1] (analytic) = 0.8081474845528313 y2[1] (numeric) = 0.80814748455283 absolute error = 1.221245327087672e-15 relative error = 1.511166402706084e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5889801721712976 y1[1] (numeric) = 0.5889801721712989 absolute error = 1.332267629550188e-15 relative error = 2.261990628035462e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9420000000000007 y2[1] (analytic) = 0.8087360605531306 y2[1] (numeric) = 0.8087360605531294 absolute error = 1.221245327087672e-15 relative error = 1.510066617101763e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5881717303313745 y1[1] (numeric) = 0.5881717303313758 absolute error = 1.332267629550188e-15 relative error = 2.265099733371394e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9430000000000007 y2[1] (analytic) = 0.8093238278174367 y2[1] (numeric) = 0.8093238278174356 absolute error = 1.110223024625157e-15 relative error = 1.371790853630464e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.58736270031977 y1[1] (numeric) = 0.5873627003197713 absolute error = 1.332267629550188e-15 relative error = 2.268219668741102e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9440000000000007 y2[1] (analytic) = 0.8099107857579826 y2[1] (numeric) = 0.8099107857579814 absolute error = 1.221245327087672e-15 relative error = 1.507876359424857e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5865530829455142 y1[1] (numeric) = 0.5865530829455156 absolute error = 1.332267629550188e-15 relative error = 2.271350485210806e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9450000000000007 y2[1] (analytic) = 0.8104969337878101 y2[1] (numeric) = 0.810496933787809 absolute error = 1.110223024625157e-15 relative error = 1.369805335890161e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5857428790182243 y1[1] (numeric) = 0.5857428790182256 absolute error = 1.332267629550188e-15 relative error = 2.274492234174881e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9460000000000007 y2[1] (analytic) = 0.8110822713207714 y2[1] (numeric) = 0.8110822713207703 absolute error = 1.110223024625157e-15 relative error = 1.368816782072258e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5849320893481041 y1[1] (numeric) = 0.5849320893481056 absolute error = 1.443289932012704e-15 relative error = 2.467448714638349e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9470000000000007 y2[1] (analytic) = 0.8116667977715289 y2[1] (numeric) = 0.8116667977715278 absolute error = 1.110223024625157e-15 relative error = 1.367831020898389e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5841207147459435 y1[1] (numeric) = 0.5841207147459448 absolute error = 1.332267629550188e-15 relative error = 2.280808736820166e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9480000000000007 y2[1] (analytic) = 0.8122505125555564 y2[1] (numeric) = 0.8122505125555552 absolute error = 1.110223024625157e-15 relative error = 1.366848044370079e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5833087560231167 y1[1] (numeric) = 0.583308756023118 absolute error = 1.332267629550188e-15 relative error = 2.283983594954624e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9490000000000007 y2[1] (analytic) = 0.812833415089139 y2[1] (numeric) = 0.8128334150891378 absolute error = 1.221245327087672e-15 relative error = 1.502454628976769e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5824962139915826 y1[1] (numeric) = 0.5824962139915839 absolute error = 1.332267629550188e-15 relative error = 2.287169594495322e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y2[1] (analytic) = 0.8134155047893742 y2[1] (numeric) = 0.813415504789373 absolute error = 1.221245327087672e-15 relative error = 1.501379454776807e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5816830894638829 y1[1] (numeric) = 0.5816830894638843 absolute error = 1.332267629550188e-15 relative error = 2.290366788517254e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9510000000000007 y2[1] (analytic) = 0.8139967810741724 y2[1] (numeric) = 0.8139967810741712 absolute error = 1.221245327087672e-15 relative error = 1.500307317525364e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5808693832531423 y1[1] (numeric) = 0.5808693832531436 absolute error = 1.332267629550188e-15 relative error = 2.293575230439693e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9520000000000007 y2[1] (analytic) = 0.8145772433622573 y2[1] (numeric) = 0.8145772433622561 absolute error = 1.221245327087672e-15 relative error = 1.499238208579026e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5800550961730668 y1[1] (numeric) = 0.5800550961730682 absolute error = 1.332267629550188e-15 relative error = 2.296794974028965e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9530000000000007 y2[1] (analytic) = 0.8151568910731668 y2[1] (numeric) = 0.8151568910731656 absolute error = 1.221245327087672e-15 relative error = 1.498172119332615e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5792402290379435 y1[1] (numeric) = 0.5792402290379448 absolute error = 1.332267629550188e-15 relative error = 2.30002607340126e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9540000000000007 y2[1] (analytic) = 0.8157357236272532 y2[1] (numeric) = 0.8157357236272519 absolute error = 1.332267629550188e-15 relative error = 1.633209863147984e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5784247826626394 y1[1] (numeric) = 0.5784247826626407 absolute error = 1.332267629550188e-15 relative error = 2.303268583025461e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9550000000000007 y2[1] (analytic) = 0.8163137404456838 y2[1] (numeric) = 0.8163137404456826 absolute error = 1.221245327087672e-15 relative error = 1.496048965708831e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5776087578626009 y1[1] (numeric) = 0.5776087578626022 absolute error = 1.332267629550188e-15 relative error = 2.306522557726006e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9560000000000007 y2[1] (analytic) = 0.8168909409504421 y2[1] (numeric) = 0.8168909409504409 absolute error = 1.221245327087672e-15 relative error = 1.494991884310492e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5767921554538527 y1[1] (numeric) = 0.576792155453854 absolute error = 1.332267629550188e-15 relative error = 2.30978805268578e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9570000000000007 y2[1] (analytic) = 0.8174673245643275 y2[1] (numeric) = 0.8174673245643262 absolute error = 1.221245327087672e-15 relative error = 1.493937788569763e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.575974976252997 y1[1] (numeric) = 0.5759749762529983 absolute error = 1.332267629550188e-15 relative error = 2.313065123449025e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9580000000000007 y2[1] (analytic) = 0.8180428907109565 y2[1] (numeric) = 0.8180428907109552 absolute error = 1.332267629550188e-15 relative error = 1.628603640076037e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.575157221077213 y1[1] (numeric) = 0.5751572210772145 absolute error = 1.443289932012704e-15 relative error = 2.509383311417986e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9590000000000007 y2[1] (analytic) = 0.8186176388147629 y2[1] (numeric) = 0.8186176388147616 absolute error = 1.332267629550188e-15 relative error = 1.627460204105929e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.574338890744256 y1[1] (numeric) = 0.5743388907442574 absolute error = 1.332267629550188e-15 relative error = 2.319654216387421e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y2[1] (analytic) = 0.8191915683009987 y2[1] (numeric) = 0.8191915683009974 absolute error = 1.332267629550188e-15 relative error = 1.626319997791613e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.573519986072456 y1[1] (numeric) = 0.5735199860724575 absolute error = 1.443289932012704e-15 relative error = 2.5165468807749e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9610000000000007 y2[1] (analytic) = 0.8197646785957344 y2[1] (numeric) = 0.8197646785957332 absolute error = 1.221245327087672e-15 relative error = 1.489751094399039e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5727005078807178 y1[1] (numeric) = 0.5727005078807192 absolute error = 1.443289932012704e-15 relative error = 2.520147812254625e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9620000000000007 y2[1] (analytic) = 0.82033696912586 y2[1] (numeric) = 0.8203369691258587 absolute error = 1.221245327087672e-15 relative error = 1.488711801430837e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5718804569885194 y1[1] (numeric) = 0.5718804569885209 absolute error = 1.443289932012704e-15 relative error = 2.523761591037684e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9630000000000007 y2[1] (analytic) = 0.8209084393190847 y2[1] (numeric) = 0.8209084393190835 absolute error = 1.221245327087672e-15 relative error = 1.487675444170915e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5710598342159118 y1[1] (numeric) = 0.5710598342159131 absolute error = 1.332267629550188e-15 relative error = 2.332973796659058e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9640000000000007 y2[1] (analytic) = 0.8214790886039385 y2[1] (numeric) = 0.8214790886039374 absolute error = 1.110223024625157e-15 relative error = 1.351492740383597e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5702386403835175 y1[1] (numeric) = 0.5702386403835188 absolute error = 1.332267629550188e-15 relative error = 2.336333484265751e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9650000000000007 y2[1] (analytic) = 0.8220489164097722 y2[1] (numeric) = 0.8220489164097711 absolute error = 1.110223024625157e-15 relative error = 1.35055591274782e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5694168763125302 y1[1] (numeric) = 0.5694168763125316 absolute error = 1.332267629550188e-15 relative error = 2.339705205398512e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9660000000000007 y2[1] (analytic) = 0.822617922166758 y2[1] (numeric) = 0.8226179221667569 absolute error = 1.110223024625157e-15 relative error = 1.349621731679335e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5685945428247142 y1[1] (numeric) = 0.5685945428247156 absolute error = 1.332267629550188e-15 relative error = 2.343089018989931e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9670000000000007 y2[1] (analytic) = 0.8231861053058901 y2[1] (numeric) = 0.8231861053058891 absolute error = 9.992007221626409e-16 relative error = 1.213821170841246e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5677716407424027 y1[1] (numeric) = 0.567771640742404 absolute error = 1.332267629550188e-15 relative error = 2.346484984364755e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9680000000000007 y2[1] (analytic) = 0.8237534652589856 y2[1] (numeric) = 0.8237534652589845 absolute error = 1.110223024625157e-15 relative error = 1.347761279858296e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5669481708884977 y1[1] (numeric) = 0.5669481708884991 absolute error = 1.443289932012704e-15 relative error = 2.545717591346735e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9690000000000007 y2[1] (analytic) = 0.8243200014586844 y2[1] (numeric) = 0.8243200014586833 absolute error = 1.110223024625157e-15 relative error = 1.346834994493096e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5661241340864692 y1[1] (numeric) = 0.5661241340864706 absolute error = 1.332267629550188e-15 relative error = 2.353313609743934e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y2[1] (analytic) = 0.8248857133384505 y2[1] (numeric) = 0.8248857133384494 absolute error = 1.110223024625157e-15 relative error = 1.345911326469576e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5652995311603537 y1[1] (numeric) = 0.565299531160355 absolute error = 1.332267629550188e-15 relative error = 2.356746390387992e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9710000000000008 y2[1] (analytic) = 0.825450600332572 y2[1] (numeric) = 0.8254506003325709 absolute error = 1.110223024625157e-15 relative error = 1.344990268561014e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5644743629347542 y1[1] (numeric) = 0.5644743629347555 absolute error = 1.332267629550188e-15 relative error = 2.360191564101522e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9720000000000008 y2[1] (analytic) = 0.8260146618761619 y2[1] (numeric) = 0.8260146618761608 absolute error = 1.110223024625157e-15 relative error = 1.344071813572244e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5636486302348387 y1[1] (numeric) = 0.5636486302348401 absolute error = 1.443289932012704e-15 relative error = 2.56061995823776e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9730000000000008 y2[1] (analytic) = 0.8265778974051587 y2[1] (numeric) = 0.8265778974051576 absolute error = 1.110223024625157e-15 relative error = 1.343155954339492e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5628223338863401 y1[1] (numeric) = 0.5628223338863414 absolute error = 1.332267629550188e-15 relative error = 2.367119336488936e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9740000000000008 y2[1] (analytic) = 0.8271403063563271 y2[1] (numeric) = 0.827140306356326 absolute error = 1.110223024625157e-15 relative error = 1.342242683730225e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5619954747155543 y1[1] (numeric) = 0.5619954747155558 absolute error = 1.443289932012704e-15 relative error = 2.568152230662005e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9750000000000008 y2[1] (analytic) = 0.8277018881672581 y2[1] (numeric) = 0.8277018881672569 absolute error = 1.221245327087672e-15 relative error = 1.475465194107288e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5611680535493409 y1[1] (numeric) = 0.5611680535493422 absolute error = 1.332267629550188e-15 relative error = 2.374097422552312e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9760000000000008 y2[1] (analytic) = 0.8282626422763698 y2[1] (numeric) = 0.8282626422763686 absolute error = 1.221245327087672e-15 relative error = 1.474466268007986e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5603400712151204 y1[1] (numeric) = 0.5603400712151219 absolute error = 1.443289932012704e-15 relative error = 2.575739280760111e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9770000000000008 y2[1] (analytic) = 0.8288225681229083 y2[1] (numeric) = 0.8288225681229071 absolute error = 1.221245327087672e-15 relative error = 1.473470166061611e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5595115285408756 y1[1] (numeric) = 0.559511528540877 absolute error = 1.443289932012704e-15 relative error = 2.579553518363764e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9780000000000008 y2[1] (analytic) = 0.8293816651469477 y2[1] (numeric) = 0.8293816651469466 absolute error = 1.110223024625157e-15 relative error = 1.338615345961922e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5586824263551489 y1[1] (numeric) = 0.5586824263551503 absolute error = 1.443289932012704e-15 relative error = 2.583381656424644e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9790000000000008 y2[1] (analytic) = 0.8299399327893912 y2[1] (numeric) = 0.8299399327893899 absolute error = 1.221245327087672e-15 relative error = 1.471486403820962e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5578527654870422 y1[1] (numeric) = 0.5578527654870438 absolute error = 1.554312234475219e-15 relative error = 2.786240977255356e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y2[1] (analytic) = 0.8304973704919709 y2[1] (numeric) = 0.8304973704919697 absolute error = 1.221245327087672e-15 relative error = 1.470498728206965e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5570225467662167 y1[1] (numeric) = 0.5570225467662182 absolute error = 1.554312234475219e-15 relative error = 2.790393752458941e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9810000000000008 y2[1] (analytic) = 0.8310539776972494 y2[1] (numeric) = 0.8310539776972482 absolute error = 1.221245327087672e-15 relative error = 1.469513846106117e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5561917710228907 y1[1] (numeric) = 0.5561917710228923 absolute error = 1.554312234475219e-15 relative error = 2.794561723947637e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9820000000000008 y2[1] (analytic) = 0.8316097538486195 y2[1] (numeric) = 0.8316097538486182 absolute error = 1.221245327087672e-15 relative error = 1.468531749941427e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5553604390878402 y1[1] (numeric) = 0.5553604390878417 absolute error = 1.554312234475219e-15 relative error = 2.798744968273437e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9830000000000008 y2[1] (analytic) = 0.8321646983903049 y2[1] (numeric) = 0.8321646983903037 absolute error = 1.221245327087672e-15 relative error = 1.467552432168757e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5545285517923968 y1[1] (numeric) = 0.5545285517923983 absolute error = 1.554312234475219e-15 relative error = 2.802943562511312e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9840000000000008 y2[1] (analytic) = 0.8327188107673614 y2[1] (numeric) = 0.8327188107673602 absolute error = 1.221245327087672e-15 relative error = 1.466575885276662e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5536961099684478 y1[1] (numeric) = 0.5536961099684493 absolute error = 1.554312234475219e-15 relative error = 2.80715758426367e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9850000000000008 y2[1] (analytic) = 0.8332720904256765 y2[1] (numeric) = 0.8332720904256753 absolute error = 1.221245327087672e-15 relative error = 1.465602101786224e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5528631144484349 y1[1] (numeric) = 0.5528631144484365 absolute error = 1.554312234475219e-15 relative error = 2.811387111664851e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9860000000000008 y2[1] (analytic) = 0.8338245368119706 y2[1] (numeric) = 0.8338245368119694 absolute error = 1.110223024625157e-15 relative error = 1.331482794773542e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5520295660653538 y1[1] (numeric) = 0.5520295660653554 absolute error = 1.554312234475219e-15 relative error = 2.815632223385671e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9870000000000008 y2[1] (analytic) = 0.8343761493737973 y2[1] (numeric) = 0.8343761493737962 absolute error = 1.110223024625157e-15 relative error = 1.330602541142126e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5511954656527525 y1[1] (numeric) = 0.5511954656527541 absolute error = 1.665334536937735e-15 relative error = 3.021313927112163e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9880000000000008 y2[1] (analytic) = 0.8349269275595442 y2[1] (numeric) = 0.8349269275595431 absolute error = 1.110223024625157e-15 relative error = 1.329724779472967e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5503608140447315 y1[1] (numeric) = 0.5503608140447331 absolute error = 1.665334536937735e-15 relative error = 3.025895911263737e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9890000000000008 y2[1] (analytic) = 0.8354768708184331 y2[1] (numeric) = 0.835476870818432 absolute error = 1.110223024625157e-15 relative error = 1.328849503083888e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5495256120759424 y1[1] (numeric) = 0.549525612075944 absolute error = 1.554312234475219e-15 relative error = 2.828461859318067e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y2[1] (analytic) = 0.836025978600521 y2[1] (numeric) = 0.8360259786005197 absolute error = 1.221245327087672e-15 relative error = 1.460774375853721e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.548689860581587 y1[1] (numeric) = 0.5486898605815885 absolute error = 1.554312234475219e-15 relative error = 2.832770105916878e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9910000000000008 y2[1] (analytic) = 0.8365742503566997 y2[1] (numeric) = 0.8365742503566985 absolute error = 1.221245327087672e-15 relative error = 1.45981701751752e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5478535603974166 y1[1] (numeric) = 0.5478535603974183 absolute error = 1.665334536937735e-15 relative error = 3.039743933998878e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9920000000000008 y2[1] (analytic) = 0.8371216855386979 y2[1] (numeric) = 0.8371216855386967 absolute error = 1.221245327087672e-15 relative error = 1.458862371128023e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5470167123597316 y1[1] (numeric) = 0.5470167123597333 absolute error = 1.665334536937735e-15 relative error = 3.04439425580579e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9930000000000008 y2[1] (analytic) = 0.8376682835990803 y2[1] (numeric) = 0.8376682835990791 absolute error = 1.221245327087672e-15 relative error = 1.457910429460855e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5461793173053798 y1[1] (numeric) = 0.5461793173053815 absolute error = 1.665334536937735e-15 relative error = 3.049061881643191e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9940000000000008 y2[1] (analytic) = 0.8382140439912489 y2[1] (numeric) = 0.8382140439912477 absolute error = 1.221245327087672e-15 relative error = 1.456961185322758e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5453413760717561 y1[1] (numeric) = 0.5453413760717579 absolute error = 1.77635683940025e-15 relative error = 3.257330027286463e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9950000000000008 y2[1] (analytic) = 0.8387589661694433 y2[1] (numeric) = 0.8387589661694421 absolute error = 1.221245327087672e-15 relative error = 1.456014631551444e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5445028894968019 y1[1] (numeric) = 0.5445028894968037 absolute error = 1.77635683940025e-15 relative error = 3.262346029131005e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9960000000000008 y2[1] (analytic) = 0.8393030495887416 y2[1] (numeric) = 0.8393030495887404 absolute error = 1.221245327087672e-15 relative error = 1.455070761015443e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5436638584190036 y1[1] (numeric) = 0.5436638584190053 absolute error = 1.77635683940025e-15 relative error = 3.267380775624791e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9970000000000008 y2[1] (analytic) = 0.8398462937050601 y2[1] (numeric) = 0.8398462937050589 absolute error = 1.221245327087672e-15 relative error = 1.454129566613951e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5428242836773921 y1[1] (numeric) = 0.5428242836773939 absolute error = 1.77635683940025e-15 relative error = 3.272434363780165e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9980000000000008 y2[1] (analytic) = 0.8403886979751549 y2[1] (numeric) = 0.8403886979751537 absolute error = 1.221245327087672e-15 relative error = 1.453191041276684e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5419841661115422 y1[1] (numeric) = 0.541984166111544 absolute error = 1.77635683940025e-15 relative error = 3.277506891289274e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9990000000000008 y2[1] (analytic) = 0.8409302618566218 y2[1] (numeric) = 0.8409302618566206 absolute error = 1.221245327087672e-15 relative error = 1.452255177963728e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5411435065615714 y1[1] (numeric) = 0.5411435065615732 absolute error = 1.77635683940025e-15 relative error = 3.282598456530008e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y2[1] (analytic) = 0.8414709848078968 y2[1] (numeric) = 0.8414709848078956 absolute error = 1.221245327087672e-15 relative error = 1.45132196966539e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5403023058681392 y1[1] (numeric) = 0.5403023058681409 absolute error = 1.665334536937735e-15 relative error = 3.082227336161248e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.001000000000001 y2[1] (analytic) = 0.8420108662882573 y2[1] (numeric) = 0.8420108662882561 absolute error = 1.221245327087672e-15 relative error = 1.450391409402057e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5394605648724461 y1[1] (numeric) = 0.5394605648724478 absolute error = 1.665334536937735e-15 relative error = 3.087036653608774e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.002 y2[1] (analytic) = 0.8425499057578215 y2[1] (numeric) = 0.8425499057578204 absolute error = 1.110223024625157e-15 relative error = 1.317694082021859e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5386182844162331 y1[1] (numeric) = 0.5386182844162347 absolute error = 1.665334536937735e-15 relative error = 3.091864099531383e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.003 y2[1] (analytic) = 0.8430881026775502 y2[1] (numeric) = 0.8430881026775492 absolute error = 9.992007221626409e-16 relative error = 1.185167622445739e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5377754653417806 y1[1] (numeric) = 0.5377754653417821 absolute error = 1.554312234475219e-15 relative error = 2.890262450867638e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.004 y2[1] (analytic) = 0.8436254565092465 y2[1] (numeric) = 0.8436254565092455 absolute error = 9.992007221626409e-16 relative error = 1.18441272066058e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5369321084919075 y1[1] (numeric) = 0.536932108491909 absolute error = 1.443289932012704e-15 relative error = 2.688030589316966e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.005 y2[1] (analytic) = 0.8441619667155564 y2[1] (numeric) = 0.8441619667155555 absolute error = 8.881784197001252e-16 relative error = 1.052142189200761e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5360882147099707 y1[1] (numeric) = 0.5360882147099721 absolute error = 1.443289932012704e-15 relative error = 2.692262005411811e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.006 y2[1] (analytic) = 0.8446976327599702 y2[1] (numeric) = 0.8446976327599693 absolute error = 8.881784197001252e-16 relative error = 1.051474971935325e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5352437848398639 y1[1] (numeric) = 0.5352437848398652 absolute error = 1.332267629550188e-15 relative error = 2.489085660188993e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.007 y2[1] (analytic) = 0.8452324541068215 y2[1] (numeric) = 0.8452324541068207 absolute error = 7.771561172376096e-16 relative error = 9.194584441966916e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5343988197260169 y1[1] (numeric) = 0.5343988197260181 absolute error = 1.221245327087672e-15 relative error = 2.285269506608936e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.008 y2[1] (analytic) = 0.8457664302212892 y2[1] (numeric) = 0.8457664302212884 absolute error = 7.771561172376096e-16 relative error = 9.188779425003565e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5335533202133946 y1[1] (numeric) = 0.5335533202133957 absolute error = 1.110223024625157e-15 relative error = 2.080809888280937e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.009 y2[1] (analytic) = 0.846299560569397 y2[1] (numeric) = 0.8462995605693964 absolute error = 6.661338147750939e-16 relative error = 7.871135066251409e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5327072871474966 y1[1] (numeric) = 0.5327072871474976 absolute error = 9.992007221626409e-16 relative error = 1.875703123028578e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.01 y2[1] (analytic) = 0.846831844618015 y2[1] (numeric) = 0.8468318446180143 absolute error = 6.661338147750939e-16 relative error = 7.866187590944582e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5318607213743558 y1[1] (numeric) = 0.5318607213743567 absolute error = 8.881784197001252e-16 relative error = 1.669945502659091e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.010999999999999 y2[1] (analytic) = 0.8473632818348588 y2[1] (numeric) = 0.8473632818348582 absolute error = 5.551115123125783e-16 relative error = 6.551045156341375e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5310136237405381 y1[1] (numeric) = 0.5310136237405387 absolute error = 6.661338147750939e-16 relative error = 1.254457108054496e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.011999999999999 y2[1] (analytic) = 0.8478938716884914 y2[1] (numeric) = 0.8478938716884908 absolute error = 5.551115123125783e-16 relative error = 6.546945683274396e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5301659950931407 y1[1] (numeric) = 0.5301659950931413 absolute error = 6.661338147750939e-16 relative error = 1.256462732314746e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.012999999999999 y2[1] (analytic) = 0.848423613648323 y2[1] (numeric) = 0.8484236136483225 absolute error = 4.440892098500626e-16 relative error = 5.234286301160642e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5293178362797925 y1[1] (numeric) = 0.529317836279793 absolute error = 5.551115123125783e-16 relative error = 1.048730033762081e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.013999999999999 y2[1] (analytic) = 0.8489525071846116 y2[1] (numeric) = 0.8489525071846112 absolute error = 3.33066907387547e-16 relative error = 3.923269023518166e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5284691481486521 y1[1] (numeric) = 0.5284691481486525 absolute error = 4.440892098500626e-16 relative error = 8.403313824578187e-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) = 0.8494805517684638 y2[1] (numeric) = 0.8494805517684635 absolute error = 3.33066907387547e-16 relative error = 3.920830284980184e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5276199315484076 y1[1] (numeric) = 0.5276199315484079 absolute error = 3.33066907387547e-16 relative error = 6.312629365803044e-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) = 0.850007746871835 y2[1] (numeric) = 0.8500077468718348 absolute error = 2.220446049250313e-16 relative error = 2.612265661603569e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5267701873282755 y1[1] (numeric) = 0.5267701873282757 absolute error = 2.220446049250313e-16 relative error = 4.215208268547216e-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) = 0.8505340919675302 y2[1] (numeric) = 0.85053409196753 absolute error = 1.110223024625157e-16 relative error = 1.305324542672818e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5259199163380001 y1[1] (numeric) = 0.5259199163380002 absolute error = 1.110223024625157e-16 relative error = 2.111011563044961e-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) = 0.8510595865292042 y2[1] (numeric) = 0.8510595865292042 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.5250691194278521 y1[1] (numeric) = 0.5250691194278521 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] = 1.018999999999999 y2[1] (analytic) = 0.8515842300313627 y2[1] (numeric) = 0.8515842300313627 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.5242177974486283 y1[1] (numeric) = 0.5242177974486283 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] = 1.019999999999998 y2[1] (analytic) = 0.8521080219493621 y2[1] (numeric) = 0.8521080219493622 absolute error = 1.110223024625157e-16 relative error = 1.302913475788324e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5233659512516509 y1[1] (numeric) = 0.5233659512516508 absolute error = 1.110223024625157e-16 relative error = 2.121313054412526e-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) = 0.8526309617594106 y2[1] (numeric) = 0.8526309617594107 absolute error = 1.110223024625157e-16 relative error = 1.302114366494741e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5225135816887658 y1[1] (numeric) = 0.5225135816887656 absolute error = 2.220446049250313e-16 relative error = 4.249547049234248e-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) = 0.8531530489385684 y2[1] (numeric) = 0.8531530489385685 absolute error = 1.110223024625157e-16 relative error = 1.301317537347392e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5216606896123426 y1[1] (numeric) = 0.5216606896123422 absolute error = 3.33066907387547e-16 relative error = 6.38474230509982e-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) = 0.8536742829647482 y2[1] (numeric) = 0.8536742829647485 absolute error = 2.220446049250313e-16 relative error = 2.601045965141256e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5208072758752732 y1[1] (numeric) = 0.5208072758752728 absolute error = 4.440892098500626e-16 relative error = 8.526939434625264e-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) = 0.8541946633167163 y2[1] (numeric) = 0.8541946633167166 absolute error = 2.220446049250313e-16 relative error = 2.599461392826592e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5199533413309714 y1[1] (numeric) = 0.5199533413309708 absolute error = 5.551115123125783e-16 relative error = 1.067617934508526e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.024999999999998 y2[1] (analytic) = 0.8547141894740923 y2[1] (numeric) = 0.8547141894740926 absolute error = 3.33066907387547e-16 relative error = 3.896822019445867e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5190988868333715 y1[1] (numeric) = 0.5190988868333709 absolute error = 5.551115123125783e-16 relative error = 1.06937527009332e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.025999999999998 y2[1] (analytic) = 0.8552328609173501 y2[1] (numeric) = 0.8552328609173504 absolute error = 3.33066907387547e-16 relative error = 3.894458721222297e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5182439132369281 y1[1] (numeric) = 0.5182439132369274 absolute error = 6.661338147750939e-16 relative error = 1.285367368068931e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.026999999999998 y2[1] (analytic) = 0.8557506771278182 y2[1] (numeric) = 0.8557506771278185 absolute error = 3.33066907387547e-16 relative error = 3.89210217753411e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5173884213966146 y1[1] (numeric) = 0.5173884213966139 absolute error = 6.661338147750939e-16 relative error = 1.287492698381156e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.027999999999998 y2[1] (analytic) = 0.8562676375876803 y2[1] (numeric) = 0.8562676375876808 absolute error = 4.440892098500626e-16 relative error = 5.18633649522447e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5165324121679228 y1[1] (numeric) = 0.516532412167922 absolute error = 7.771561172376096e-16 relative error = 1.504564087228972e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.028999999999997 y2[1] (analytic) = 0.8567837417799764 y2[1] (numeric) = 0.8567837417799768 absolute error = 4.440892098500626e-16 relative error = 5.1832123813118e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5156758864068619 y1[1] (numeric) = 0.515675886406861 absolute error = 8.881784197001252e-16 relative error = 1.722357866854692e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y2[1] (analytic) = 0.857298989188602 y2[1] (numeric) = 0.8572989891886026 absolute error = 5.551115123125783e-16 relative error = 6.475121507351458e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5148188449699576 y1[1] (numeric) = 0.5148188449699566 absolute error = 9.992007221626409e-16 relative error = 1.940878295201004e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.030999999999997 y2[1] (analytic) = 0.8578133792983099 y2[1] (numeric) = 0.8578133792983106 absolute error = 6.661338147750939e-16 relative error = 7.765486419901615e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.5139612887142512 y1[1] (numeric) = 0.5139612887142501 absolute error = 1.110223024625157e-15 relative error = 2.160129661520891e-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) = 0.85832691159471 y2[1] (numeric) = 0.8583269115947108 absolute error = 7.771561172376096e-16 relative error = 9.05431376716022e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.513103218497299 y1[1] (numeric) = 0.5131032184972977 absolute error = 1.332267629550188e-15 relative error = 2.596490494547933e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.032999999999997 y2[1] (analytic) = 0.85883958556427 y2[1] (numeric) = 0.8588395855642709 absolute error = 8.881784197001252e-16 relative error = 1.034161017527597e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.512244635177171 y1[1] (numeric) = 0.5122446351771696 absolute error = 1.443289932012704e-15 relative error = 2.817579400345521e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.033999999999997 y2[1] (analytic) = 0.859351400694316 y2[1] (numeric) = 0.8593514006943169 absolute error = 8.881784197001252e-16 relative error = 1.033545088752422e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5113855396124505 y1[1] (numeric) = 0.5113855396124489 absolute error = 1.554312234475219e-15 relative error = 3.039413737926854e-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) = 0.859862356473033 y2[1] (numeric) = 0.8598623564730339 absolute error = 8.881784197001252e-16 relative error = 1.032930925530033e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.510525932662233 y1[1] (numeric) = 0.5105259326622313 absolute error = 1.665334536937735e-15 relative error = 3.261997932707426e-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) = 0.860372452389465 y2[1] (numeric) = 0.860372452389466 absolute error = 9.992007221626409e-16 relative error = 1.161358338923586e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5096658151861253 y1[1] (numeric) = 0.5096658151861236 absolute error = 1.665334536937735e-15 relative error = 3.267502915277082e-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) = 0.8608816879335165 y2[1] (numeric) = 0.8608816879335175 absolute error = 9.992007221626409e-16 relative error = 1.160671363054718e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.508805188044245 y1[1] (numeric) = 0.5088051880442432 absolute error = 1.77635683940025e-15 relative error = 3.491231774243978e-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) = 0.8613900625959517 y2[1] (numeric) = 0.8613900625959527 absolute error = 9.992007221626409e-16 relative error = 1.159986358736682e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.507944052097219 y1[1] (numeric) = 0.5079440520972172 absolute error = 1.887379141862766e-15 relative error = 3.715722497527202e-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) = 0.8618975758683961 y2[1] (numeric) = 0.8618975758683972 absolute error = 1.110223024625157e-15 relative error = 1.288114801235591e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5070824082061833 y1[1] (numeric) = 0.5070824082061813 absolute error = 1.998401444325282e-15 relative error = 3.940979635627031e-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) = 0.8624042272433365 y2[1] (numeric) = 0.8624042272433377 absolute error = 1.110223024625157e-15 relative error = 1.287358050381976e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5062202572327816 y1[1] (numeric) = 0.5062202572327795 absolute error = 2.109423746787797e-15 relative error = 4.167007773096276e-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) = 0.8629100162141216 y2[1] (numeric) = 0.8629100162141227 absolute error = 1.110223024625157e-15 relative error = 1.286603474017002e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5053576000391649 y1[1] (numeric) = 0.5053576000391627 absolute error = 2.109423746787797e-15 relative error = 4.174120952419274e-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) = 0.8634149422749622 y2[1] (numeric) = 0.8634149422749634 absolute error = 1.221245327087672e-15 relative error = 1.414436173492531e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5044944374879903 y1[1] (numeric) = 0.5044944374879879 absolute error = 2.331468351712829e-15 relative error = 4.621395556553248e-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) = 0.8639190049209325 y2[1] (numeric) = 0.8639190049209339 absolute error = 1.332267629550188e-15 relative error = 1.542120988149947e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5036307704424201 y1[1] (numeric) = 0.5036307704424178 absolute error = 2.331468351712829e-15 relative error = 4.629320701879919e-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) = 0.8644222036479701 y2[1] (numeric) = 0.8644222036479714 absolute error = 1.332267629550188e-15 relative error = 1.54122328640779e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5027665997661216 y1[1] (numeric) = 0.5027665997661191 absolute error = 2.442490654175344e-15 relative error = 4.858100469107433e-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) = 0.8649245379528758 y2[1] (numeric) = 0.8649245379528773 absolute error = 1.443289932012704e-15 relative error = 1.668688849351779e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5019019263232651 y1[1] (numeric) = 0.5019019263232626 absolute error = 2.55351295663786e-15 relative error = 5.087673154283119e-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) = 0.8654260073333158 y2[1] (numeric) = 0.8654260073333173 absolute error = 1.554312234475219e-15 relative error = 1.796008233291493e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.5010367509785242 y1[1] (numeric) = 0.5010367509785215 absolute error = 2.664535259100376e-15 relative error = 5.318043544503555e-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) = 0.8659266112878206 y2[1] (numeric) = 0.8659266112878221 absolute error = 1.554312234475219e-15 relative error = 1.79496993649799e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.500171074597074 y1[1] (numeric) = 0.5001710745970712 absolute error = 2.775557561562891e-15 relative error = 5.549216463184751e-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) = 0.8664263493157861 y2[1] (numeric) = 0.8664263493157878 absolute error = 1.665334536937735e-15 relative error = 1.922072820445551e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4993048980445909 y1[1] (numeric) = 0.4993048980445881 absolute error = 2.831068712794149e-15 relative error = 5.67001990944082e-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) = 0.8669252209174747 y2[1] (numeric) = 0.8669252209174764 absolute error = 1.665334536937735e-15 relative error = 1.920966764786583e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4984382221872514 y1[1] (numeric) = 0.4984382221872484 absolute error = 2.942091015256665e-15 relative error = 5.902619189889076e-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) = 0.8674232255940145 y2[1] (numeric) = 0.8674232255940163 absolute error = 1.77635683940025e-15 relative error = 2.04785482678746e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4975710478917312 y1[1] (numeric) = 0.4975710478917282 absolute error = 2.997602166487923e-15 relative error = 6.024470634272485e-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) = 0.867920362847401 y2[1] (numeric) = 0.8679203628474028 absolute error = 1.77635683940025e-15 relative error = 2.04668183331075e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4967033760252046 y1[1] (numeric) = 0.4967033760252015 absolute error = 3.108624468950438e-15 relative error = 6.258512865015628e-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) = 0.868416632180497 y2[1] (numeric) = 0.8684166321804989 absolute error = 1.887379141862766e-15 relative error = 2.173356741364762e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4958352074553434 y1[1] (numeric) = 0.4958352074553402 absolute error = 3.219646771412954e-15 relative error = 6.493380709966882e-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) = 0.8689120330970332 y2[1] (numeric) = 0.8689120330970351 absolute error = 1.887379141862766e-15 relative error = 2.172117625228006e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.494966543050316 y1[1] (numeric) = 0.4949665430503127 absolute error = 3.275157922644212e-15 relative error = 6.616927888621504e-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) = 0.8694065651016086 y2[1] (numeric) = 0.8694065651016106 absolute error = 1.998401444325282e-15 relative error = 2.298581037390402e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4940973836787868 y1[1] (numeric) = 0.4940973836787834 absolute error = 3.386180225106727e-15 relative error = 6.853264835962149e-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) = 0.8699002276996916 y2[1] (numeric) = 0.8699002276996936 absolute error = 1.998401444325282e-15 relative error = 2.297276607927471e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4932277302099151 y1[1] (numeric) = 0.4932277302099116 absolute error = 3.497202527569243e-15 relative error = 7.090441825079162e-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) = 0.8703930203976191 y2[1] (numeric) = 0.8703930203976212 absolute error = 2.109423746787797e-15 relative error = 2.42353017240896e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4923575835133543 y1[1] (numeric) = 0.4923575835133507 absolute error = 3.608224830031759e-15 relative error = 7.328464008382419e-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) = 0.870884942702599 y2[1] (numeric) = 0.8708849427026011 absolute error = 2.109423746787797e-15 relative error = 2.42216123319536e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4914869444592511 y1[1] (numeric) = 0.4914869444592474 absolute error = 3.663735981263017e-15 relative error = 7.454391256097293e-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) = 0.8713759941227086 y2[1] (numeric) = 0.8713759941227108 absolute error = 2.220446049250313e-15 relative error = 2.548206588461084e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4906158139182443 y1[1] (numeric) = 0.4906158139182406 absolute error = 3.774758283725532e-15 relative error = 7.693918900776716e-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) = 0.8718661741668967 y2[1] (numeric) = 0.871866174166899 absolute error = 2.331468351712829e-15 relative error = 2.674112634247614e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4897441927614645 y1[1] (numeric) = 0.4897441927614606 absolute error = 3.885780586188048e-15 relative error = 7.93430661071802e-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) = 0.8723554823449834 y2[1] (numeric) = 0.8723554823449857 absolute error = 2.331468351712829e-15 relative error = 2.672612712246155e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4888720818605328 y1[1] (numeric) = 0.4888720818605288 absolute error = 3.996802888650564e-15 relative error = 8.175559695369936e-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) = 0.8728439181676604 y2[1] (numeric) = 0.8728439181676627 absolute error = 2.331468351712829e-15 relative error = 2.671117141547165e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4879994820875599 y1[1] (numeric) = 0.4879994820875558 absolute error = 4.107825191113079e-15 relative error = 8.417683505606729e-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) = 0.8733314811464918 y2[1] (numeric) = 0.8733314811464943 absolute error = 2.442490654175344e-15 relative error = 2.796750955283201e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4871263943151456 y1[1] (numeric) = 0.4871263943151414 absolute error = 4.218847493575595e-15 relative error = 8.660683434136026e-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) = 0.8738181707939151 y2[1] (numeric) = 0.8738181707939175 absolute error = 2.442490654175344e-15 relative error = 2.795193251653485e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4862528194163775 y1[1] (numeric) = 0.4862528194163733 absolute error = 4.274358644806853e-15 relative error = 8.790403827245937e-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) = 0.8743039866232403 y2[1] (numeric) = 0.8743039866232428 absolute error = 2.55351295663786e-15 relative error = 2.920623714070097e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4853787582648306 y1[1] (numeric) = 0.4853787582648262 absolute error = 4.385380947269368e-15 relative error = 9.034966760693373e-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) = 0.8747889281486517 y2[1] (numeric) = 0.8747889281486543 absolute error = 2.55351295663786e-15 relative error = 2.919004658691731e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4845042117345659 y1[1] (numeric) = 0.4845042117345614 absolute error = 4.496403249731884e-15 relative error = 9.280421389185414e-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) = 0.8752729948852079 y2[1] (numeric) = 0.8752729948852105 absolute error = 2.55351295663786e-15 relative error = 2.917390313147675e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4836291807001298 y1[1] (numeric) = 0.4836291807001252 absolute error = 4.6074255521944e-15 relative error = 9.526773271878305e-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) = 0.8757561863488421 y2[1] (numeric) = 0.8757561863488448 absolute error = 2.664535259100376e-15 relative error = 3.042553738854212e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4827536660365533 y1[1] (numeric) = 0.4827536660365486 absolute error = 4.718447854656915e-15 relative error = 9.77402801183418e-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) = 0.876238502056363 y2[1] (numeric) = 0.8762385020563657 absolute error = 2.664535259100376e-15 relative error = 3.04087899909354e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4818776686193511 y1[1] (numeric) = 0.4818776686193462 absolute error = 4.829470157119431e-15 relative error = 1.002219125645843e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.068999999999993 y2[1] (analytic) = 0.8767199415254548 y2[1] (numeric) = 0.8767199415254575 absolute error = 2.664535259100376e-15 relative error = 3.039209139539132e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4810011893245203 y1[1] (numeric) = 0.4810011893245154 absolute error = 4.940492459581947e-15 relative error = 1.027126869794227e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y2[1] (analytic) = 0.8772005042746782 y2[1] (numeric) = 0.8772005042746809 absolute error = 2.664535259100376e-15 relative error = 3.037544148818716e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4801242290285403 y1[1] (numeric) = 0.4801242290285352 absolute error = 5.051514762044462e-15 relative error = 1.052126607371065e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.070999999999993 y2[1] (analytic) = 0.8776801898234704 y2[1] (numeric) = 0.8776801898234732 absolute error = 2.775557561562891e-15 relative error = 3.162379182924415e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4792467886083713 y1[1] (numeric) = 0.4792467886083661 absolute error = 5.162537064506978e-15 relative error = 1.077218916687552e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.071999999999993 y2[1] (analytic) = 0.8781589976921459 y2[1] (numeric) = 0.8781589976921488 absolute error = 2.886579864025407e-15 relative error = 3.28708112267996e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4783688689414536 y1[1] (numeric) = 0.4783688689414483 absolute error = 5.273559366969494e-15 relative error = 1.102404380669452e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.072999999999993 y2[1] (analytic) = 0.8786369274018969 y2[1] (numeric) = 0.8786369274018998 absolute error = 2.886579864025407e-15 relative error = 3.285293133036119e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4774904709057068 y1[1] (numeric) = 0.4774904709057015 absolute error = 5.384581669432009e-15 relative error = 1.127683586903525e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.073999999999993 y2[1] (analytic) = 0.8791139784747938 y2[1] (numeric) = 0.8791139784747967 absolute error = 2.886579864025407e-15 relative error = 3.283510369194035e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.476611595379529 y1[1] (numeric) = 0.4766115953795235 absolute error = 5.495603971894525e-15 relative error = 1.153057127684512e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.074999999999992 y2[1] (analytic) = 0.8795901504337854 y2[1] (numeric) = 0.8795901504337883 absolute error = 2.886579864025407e-15 relative error = 3.281732819088344e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4757322432417954 y1[1] (numeric) = 0.4757322432417898 absolute error = 5.606626274357041e-15 relative error = 1.178525600062685e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.075999999999992 y2[1] (analytic) = 0.8800654428026998 y2[1] (numeric) = 0.8800654428027028 absolute error = 2.997602166487923e-15 relative error = 3.406112796500236e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4748524153718583 y1[1] (numeric) = 0.4748524153718526 absolute error = 5.717648576819556e-15 relative error = 1.20408960589198e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.076999999999992 y2[1] (analytic) = 0.8805398551062449 y2[1] (numeric) = 0.8805398551062479 absolute error = 2.997602166487923e-15 relative error = 3.404277670232469e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4739721126495454 y1[1] (numeric) = 0.4739721126495395 absolute error = 5.828670879282072e-15 relative error = 1.229749751878712e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.077999999999992 y2[1] (analytic) = 0.8810133868700082 y2[1] (numeric) = 0.8810133868700112 absolute error = 2.997602166487923e-15 relative error = 3.402447920953343e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4730913359551593 y1[1] (numeric) = 0.4730913359551533 absolute error = 5.939693181744587e-15 relative error = 1.255506649630879e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.078999999999992 y2[1] (analytic) = 0.881486037620458 y2[1] (numeric) = 0.8814860376204611 absolute error = 3.108624468950438e-15 relative error = 3.526572556205276e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4722100861694766 y1[1] (numeric) = 0.4722100861694706 absolute error = 5.995204332975845e-15 relative error = 1.26960531097681e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y2[1] (analytic) = 0.8819578068849436 y2[1] (numeric) = 0.8819578068849467 absolute error = 3.108624468950438e-15 relative error = 3.524686152424949e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4713283641737472 y1[1] (numeric) = 0.4713283641737411 absolute error = 6.106226635438361e-15 relative error = 1.295535575530821e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.080999999999992 y2[1] (analytic) = 0.8824286941916959 y2[1] (numeric) = 0.8824286941916991 absolute error = 3.219646771412954e-15 relative error = 3.64861976112659e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4704461708496929 y1[1] (numeric) = 0.4704461708496867 absolute error = 6.217248937900877e-15 relative error = 1.321564362331112e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.081999999999992 y2[1] (analytic) = 0.8828986990698275 y2[1] (numeric) = 0.8828986990698308 absolute error = 3.219646771412954e-15 relative error = 3.646677444201688e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4695635070795069 y1[1] (numeric) = 0.4695635070795006 absolute error = 6.328271240363392e-15 relative error = 1.347692302522113e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.082999999999992 y2[1] (analytic) = 0.8833678210493336 y2[1] (numeric) = 0.883367821049337 absolute error = 3.33066907387547e-15 relative error = 3.770421555450185e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.468680373745853 y1[1] (numeric) = 0.4686803737458465 absolute error = 6.439293542825908e-15 relative error = 1.373920032400948e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.083999999999991 y2[1] (analytic) = 0.8838360596610924 y2[1] (numeric) = 0.8838360596610957 absolute error = 3.33066907387547e-15 relative error = 3.768424061757129e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4677967717318643 y1[1] (numeric) = 0.4677967717318578 absolute error = 6.550315845288424e-15 relative error = 1.400248193470431e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.084999999999991 y2[1] (analytic) = 0.884303414436865 y2[1] (numeric) = 0.8843034144368684 absolute error = 3.441691376337985e-15 relative error = 3.891980196106893e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.466912701921143 y1[1] (numeric) = 0.4669127019211363 absolute error = 6.661338147750939e-15 relative error = 1.426677432492718e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.085999999999991 y2[1] (analytic) = 0.884769884909297 y2[1] (numeric) = 0.8847698849093004 absolute error = 3.441691376337985e-15 relative error = 3.889928257097961e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4660281651977586 y1[1] (numeric) = 0.4660281651977519 absolute error = 6.716849298982197e-15 relative error = 1.441296857268682e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.086999999999991 y2[1] (analytic) = 0.8852354706119178 y2[1] (numeric) = 0.8852354706119212 absolute error = 3.441691376337985e-15 relative error = 3.887882366438526e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4651431624462479 y1[1] (numeric) = 0.465143162446241 absolute error = 6.827871601444713e-15 relative error = 1.467907550341287e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.087999999999991 y2[1] (analytic) = 0.8857001710791417 y2[1] (numeric) = 0.8857001710791451 absolute error = 3.441691376337985e-15 relative error = 3.885842510501732e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4642576945516134 y1[1] (numeric) = 0.4642576945516065 absolute error = 6.883382752675971e-15 relative error = 1.482664225807617e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.088999999999991 y2[1] (analytic) = 0.8861639858462683 y2[1] (numeric) = 0.8861639858462718 absolute error = 3.441691376337985e-15 relative error = 3.883808675717329e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4633717623993232 y1[1] (numeric) = 0.4633717623993162 absolute error = 6.994405055138486e-15 relative error = 1.509458629701926e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y2[1] (analytic) = 0.8866269144494829 y2[1] (numeric) = 0.8866269144494865 absolute error = 3.552713678800501e-15 relative error = 4.006999585622124e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4624853668753091 y1[1] (numeric) = 0.462485366875302 absolute error = 7.049916206369744e-15 relative error = 1.524354436120024e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.090999999999991 y2[1] (analytic) = 0.8870889564258571 y2[1] (numeric) = 0.8870889564258606 absolute error = 3.552713678800501e-15 relative error = 4.00491253223874e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4615985088659667 y1[1] (numeric) = 0.4615985088659595 absolute error = 7.16093850883226e-15 relative error = 1.55133484430548e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.091999999999991 y2[1] (analytic) = 0.8875501113133486 y2[1] (numeric) = 0.8875501113133523 absolute error = 3.663735981263017e-15 relative error = 4.127920141705147e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4607111892581539 y1[1] (numeric) = 0.4607111892581466 absolute error = 7.271960811294775e-15 relative error = 1.578420707125483e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09299999999999 y2[1] (analytic) = 0.8880103786508029 y2[1] (numeric) = 0.8880103786508066 absolute error = 3.663735981263017e-15 relative error = 4.125780586967359e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4598234089391902 y1[1] (numeric) = 0.4598234089391828 absolute error = 7.382983113757291e-15 relative error = 1.605612713539267e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09399999999999 y2[1] (analytic) = 0.8884697579779525 y2[1] (numeric) = 0.8884697579779562 absolute error = 3.774758283725532e-15 relative error = 4.248606381737085e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4589351687968559 y1[1] (numeric) = 0.4589351687968484 absolute error = 7.494005416219807e-15 relative error = 1.632911558263466e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09499999999999 y2[1] (analytic) = 0.8889282488354181 y2[1] (numeric) = 0.888928248835422 absolute error = 3.885780586188048e-15 relative error = 4.371309598135503e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4580464697193911 y1[1] (numeric) = 0.4580464697193835 absolute error = 7.605027718682322e-15 relative error = 1.660317941832697e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09599999999999 y2[1] (analytic) = 0.889385850764709 y2[1] (numeric) = 0.8893858507647129 absolute error = 3.885780586188048e-15 relative error = 4.369060495899488e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4571573125954946 y1[1] (numeric) = 0.457157312595487 absolute error = 7.66053886991358e-15 relative error = 1.675689890296436e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09699999999999 y2[1] (analytic) = 0.8898425633082232 y2[1] (numeric) = 0.8898425633082272 absolute error = 3.996802888650564e-15 relative error = 4.491584302049343e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4562676983143238 y1[1] (numeric) = 0.456267698314316 absolute error = 7.827072323607354e-15 relative error = 1.71545615710347e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09799999999999 y2[1] (analytic) = 0.8902983860092483 y2[1] (numeric) = 0.8902983860092524 absolute error = 4.107825191113079e-15 relative error = 4.613987013417329e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4553776277654926 y1[1] (numeric) = 0.4553776277654847 absolute error = 7.882583474838611e-15 relative error = 1.730999283719299e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09899999999999 y2[1] (analytic) = 0.8907533184119616 y2[1] (numeric) = 0.8907533184119657 absolute error = 4.107825191113079e-15 relative error = 4.611630522394826e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4544871018390716 y1[1] (numeric) = 0.4544871018390636 absolute error = 7.993605777301127e-15 relative error = 1.758819061081202e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09999999999999 y2[1] (analytic) = 0.8912073600614306 y2[1] (numeric) = 0.8912073600614349 absolute error = 4.218847493575595e-15 relative error = 4.733856207476553e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4535961214255866 y1[1] (numeric) = 0.4535961214255785 absolute error = 8.049116928532385e-15 relative error = 1.774511850594133e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.10099999999999 y2[1] (analytic) = 0.8916605105036139 y2[1] (numeric) = 0.8916605105036182 absolute error = 4.218847493575595e-15 relative error = 4.731450416249532e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.452704687416018 y1[1] (numeric) = 0.4527046874160098 absolute error = 8.160139230994901e-15 relative error = 1.802530315639531e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.101999999999989 y2[1] (analytic) = 0.892112769285361 y2[1] (numeric) = 0.8921127692853653 absolute error = 4.329869796038111e-15 relative error = 4.853500527188521e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4518128007017997 y1[1] (numeric) = 0.4518128007017915 absolute error = 8.271161533457416e-15 relative error = 1.83066117662223e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.102999999999989 y2[1] (analytic) = 0.8925641359544132 y2[1] (numeric) = 0.8925641359544175 absolute error = 4.329869796038111e-15 relative error = 4.851046128363883e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4509204621748184 y1[1] (numeric) = 0.45092046217481 absolute error = 8.382183835919932e-15 relative error = 1.858905181524059e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.103999999999989 y2[1] (analytic) = 0.8930146100594037 y2[1] (numeric) = 0.8930146100594082 absolute error = 4.440892098500626e-15 relative error = 4.972922109533254e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4500276727274125 y1[1] (numeric) = 0.450027672727404 absolute error = 8.493206138382448e-15 relative error = 1.887263084714102e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.104999999999989 y2[1] (analytic) = 0.8934641911498586 y2[1] (numeric) = 0.8934641911498632 absolute error = 4.551914400963142e-15 relative error = 5.094680286072774e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4491344332523713 y1[1] (numeric) = 0.4491344332523627 absolute error = 8.604228440844963e-15 relative error = 1.915735647017337e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.105999999999989 y2[1] (analytic) = 0.893912878776197 y2[1] (numeric) = 0.8939128787762015 absolute error = 4.551914400963142e-15 relative error = 5.092123079370886e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4482407446429343 y1[1] (numeric) = 0.4482407446429256 absolute error = 8.715250743307479e-15 relative error = 1.944323635784157e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.106999999999989 y2[1] (analytic) = 0.8943606724897308 y2[1] (numeric) = 0.8943606724897355 absolute error = 4.662936703425657e-15 relative error = 5.213709465158977e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4473466077927901 y1[1] (numeric) = 0.4473466077927812 absolute error = 8.826273045769994e-15 relative error = 1.973027824960797e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.107999999999989 y2[1] (analytic) = 0.8948075718426669 y2[1] (numeric) = 0.8948075718426716 absolute error = 4.662936703425657e-15 relative error = 5.211105549568971e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4464520235960753 y1[1] (numeric) = 0.4464520235960663 absolute error = 8.93729534823251e-15 relative error = 2.00184899516067e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.108999999999989 y2[1] (analytic) = 0.8952535763881057 y2[1] (numeric) = 0.8952535763881103 absolute error = 4.662936703425657e-15 relative error = 5.208509439569338e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4455569929473741 y1[1] (numeric) = 0.4455569929473651 absolute error = 9.048317650695026e-15 relative error = 2.030787933736627e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.109999999999989 y2[1] (analytic) = 0.8956986856800425 y2[1] (numeric) = 0.8956986856800473 absolute error = 4.773959005888173e-15 relative error = 5.32987162112852e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4446615167417171 y1[1] (numeric) = 0.444661516741708 absolute error = 9.159339953157541e-15 relative error = 2.059845434854164e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.110999999999988 y2[1] (analytic) = 0.8961428992733684 y2[1] (numeric) = 0.8961428992733732 absolute error = 4.773959005888173e-15 relative error = 5.3272296301841e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4437655958745804 y1[1] (numeric) = 0.4437655958745712 absolute error = 9.270362255620057e-15 relative error = 2.08902229956558e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.111999999999988 y2[1] (analytic) = 0.8965862167238697 y2[1] (numeric) = 0.8965862167238745 absolute error = 4.773959005888173e-15 relative error = 5.324595579142675e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4428692312418849 y1[1] (numeric) = 0.4428692312418755 absolute error = 9.381384558082573e-15 relative error = 2.118319335885107e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.112999999999988 y2[1] (analytic) = 0.897028637588229 y2[1] (numeric) = 0.8970286375882338 absolute error = 4.773959005888173e-15 relative error = 5.321969450968192e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.441972423739995 y1[1] (numeric) = 0.4419724237399855 absolute error = 9.492406860545088e-15 relative error = 2.147737358865021e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.113999999999988 y2[1] (analytic) = 0.8974701614240255 y2[1] (numeric) = 0.8974701614240304 absolute error = 4.884981308350689e-15 relative error = 5.443057071223e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4410751742657181 y1[1] (numeric) = 0.4410751742657085 absolute error = 9.603429163007604e-15 relative error = 2.177277190672759e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.114999999999988 y2[1] (analytic) = 0.8979107877897353 y2[1] (numeric) = 0.8979107877897402 absolute error = 4.884981308350689e-15 relative error = 5.440386032531563e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4401774837163038 y1[1] (numeric) = 0.4401774837162941 absolute error = 9.658940314238862e-15 relative error = 2.19432857689379e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.115999999999988 y2[1] (analytic) = 0.8983505162447322 y2[1] (numeric) = 0.8983505162447372 absolute error = 4.996003610813204e-15 relative error = 5.56130766384752e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4392793529894424 y1[1] (numeric) = 0.4392793529894327 absolute error = 9.769962616701378e-15 relative error = 2.224088737659425e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.116999999999988 y2[1] (analytic) = 0.8987893463492876 y2[1] (numeric) = 0.8987893463492926 absolute error = 4.996003610813204e-15 relative error = 5.558592378854986e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4383807829832647 y1[1] (numeric) = 0.4383807829832548 absolute error = 9.825473767932635e-15 relative error = 2.241310328675545e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.117999999999988 y2[1] (analytic) = 0.8992272776645717 y2[1] (numeric) = 0.8992272776645767 absolute error = 4.996003610813204e-15 relative error = 5.555885297194916e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4374817745963405 y1[1] (numeric) = 0.4374817745963305 absolute error = 9.936496070395151e-15 relative error = 2.27129371950716e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.118999999999988 y2[1] (analytic) = 0.899664309752653 y2[1] (numeric) = 0.899664309752658 absolute error = 4.996003610813204e-15 relative error = 5.553186401477645e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4365823287276782 y1[1] (numeric) = 0.4365823287276681 absolute error = 1.004751837285767e-14 relative error = 2.301402899686508e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y2[1] (analytic) = 0.9001004421764995 y2[1] (numeric) = 0.9001004421765045 absolute error = 4.996003610813204e-15 relative error = 5.550495674385575e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4356824462767235 y1[1] (numeric) = 0.4356824462767133 absolute error = 1.015854067532018e-14 relative error = 2.331638734159143e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.120999999999987 y2[1] (analytic) = 0.9005356744999788 y2[1] (numeric) = 0.900535674499984 absolute error = 5.10702591327572e-15 relative error = 5.671097834198949e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4347821281433588 y1[1] (numeric) = 0.4347821281433485 absolute error = 1.02695629777827e-14 relative error = 2.362002095540726e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.121999999999987 y2[1] (analytic) = 0.9009700062878588 y2[1] (numeric) = 0.9009700062878638 absolute error = 4.996003610813204e-15 relative error = 5.545138657165227e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4338813752279023 y1[1] (numeric) = 0.4338813752278919 absolute error = 1.038058528024521e-14 relative error = 2.392493864202552e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.122999999999987 y2[1] (analytic) = 0.9014034371058075 y2[1] (numeric) = 0.9014034371058126 absolute error = 5.10702591327572e-15 relative error = 5.665638384598541e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4329801884311066 y1[1] (numeric) = 0.4329801884310961 absolute error = 1.049160758270773e-14 relative error = 2.423114928358228e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.123999999999987 y2[1] (analytic) = 0.9018359665203942 y2[1] (numeric) = 0.9018359665203993 absolute error = 5.10702591327572e-15 relative error = 5.662921088610441e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4320785686541586 y1[1] (numeric) = 0.4320785686541481 absolute error = 1.054711873393899e-14 relative error = 2.441018717218775e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.124999999999987 y2[1] (analytic) = 0.9022675940990895 y2[1] (numeric) = 0.9022675940990947 absolute error = 5.218048215738236e-15 relative error = 5.78326014351478e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.431176516798678 y1[1] (numeric) = 0.4311765167986673 absolute error = 1.071365218763276e-14 relative error = 2.484748535745305e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.125999999999987 y2[1] (analytic) = 0.9026983194102659 y2[1] (numeric) = 0.9026983194102712 absolute error = 5.329070518200751e-15 relative error = 5.903490018328871e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4302740337667165 y1[1] (numeric) = 0.4302740337667057 absolute error = 1.082467449009528e-14 relative error = 2.515762895411936e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.126999999999987 y2[1] (analytic) = 0.9031281420231981 y2[1] (numeric) = 0.9031281420232035 absolute error = 5.329070518200751e-15 relative error = 5.900680391004653e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4293711204607571 y1[1] (numeric) = 0.4293711204607462 absolute error = 1.093569679255779e-14 relative error = 2.546910183624535e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.127999999999987 y2[1] (analytic) = 0.9035570615080637 y2[1] (numeric) = 0.903557061508069 absolute error = 5.329070518200751e-15 relative error = 5.897879331833646e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.428467777783713 y1[1] (numeric) = 0.428467777783702 absolute error = 1.099120794378905e-14 relative error = 2.56523559382739e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.128999999999986 y2[1] (analytic) = 0.9039850774359429 y2[1] (numeric) = 0.9039850774359484 absolute error = 5.440092820663267e-15 relative error = 6.017901131834509e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4275640066389269 y1[1] (numeric) = 0.4275640066389157 absolute error = 1.115774139748282e-14 relative error = 2.609607269141674e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y2[1] (analytic) = 0.9044121893788201 y2[1] (numeric) = 0.9044121893788255 absolute error = 5.440092820663267e-15 relative error = 6.015059156157218e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4266598079301697 y1[1] (numeric) = 0.4266598079301584 absolute error = 1.126876369994534e-14 relative error = 2.641158949237063e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.130999999999986 y2[1] (analytic) = 0.9048383969095832 y2[1] (numeric) = 0.9048383969095887 absolute error = 5.440092820663267e-15 relative error = 6.012225872866968e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4257551825616401 y1[1] (numeric) = 0.4257551825616288 absolute error = 1.137978600240785e-14 relative error = 2.672847323651852e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.131999999999986 y2[1] (analytic) = 0.9052636996020249 y2[1] (numeric) = 0.9052636996020303 absolute error = 5.440092820663267e-15 relative error = 6.009401264023796e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4248501314379635 y1[1] (numeric) = 0.424850131437952 absolute error = 1.143529715363911e-14 relative error = 2.691607300422571e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.132999999999986 y2[1] (analytic) = 0.9056880970308424 y2[1] (numeric) = 0.9056880970308478 absolute error = 5.440092820663267e-15 relative error = 6.006585311762146e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4239446554641908 y1[1] (numeric) = 0.4239446554641793 absolute error = 1.154631945610163e-14 relative error = 2.723544053989591e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.133999999999986 y2[1] (analytic) = 0.9061115887716383 y2[1] (numeric) = 0.9061115887716438 absolute error = 5.440092820663267e-15 relative error = 6.003777998290561e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.423038755545798 y1[1] (numeric) = 0.4230387555457863 absolute error = 1.165734175856414e-14 relative error = 2.75562028436946e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.134999999999986 y2[1] (analytic) = 0.906534174400921 y2[1] (numeric) = 0.9065341744009264 absolute error = 5.440092820663267e-15 relative error = 6.000979305891394e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4221324325886849 y1[1] (numeric) = 0.4221324325886732 absolute error = 1.176836406102666e-14 relative error = 2.787836980176658e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.135999999999986 y2[1] (analytic) = 0.9069558534961047 y2[1] (numeric) = 0.9069558534961103 absolute error = 5.551115123125783e-15 relative error = 6.120601241755615e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4212256874991744 y1[1] (numeric) = 0.4212256874991626 absolute error = 1.182387521225792e-14 relative error = 2.807016657140857e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.136999999999986 y2[1] (analytic) = 0.9073766256355107 y2[1] (numeric) = 0.9073766256355162 absolute error = 5.551115123125783e-15 relative error = 6.117762973272403e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4203185211840115 y1[1] (numeric) = 0.4203185211839995 absolute error = 1.199040866595169e-14 relative error = 2.852695768003619e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.137999999999985 y2[1] (analytic) = 0.9077964903983665 y2[1] (numeric) = 0.9077964903983722 absolute error = 5.662137425588298e-15 relative error = 6.237232116973259e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4194109345503624 y1[1] (numeric) = 0.4194109345503504 absolute error = 1.204591981718295e-14 relative error = 2.872104378989787e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.138999999999985 y2[1] (analytic) = 0.9082154473648076 y2[1] (numeric) = 0.9082154473648133 absolute error = 5.662137425588298e-15 relative error = 6.234354901160317e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4185029285058138 y1[1] (numeric) = 0.4185029285058016 absolute error = 1.215694211964546e-14 relative error = 2.904864289253494e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y2[1] (analytic) = 0.9086334961158771 y2[1] (numeric) = 0.9086334961158827 absolute error = 5.662137425588298e-15 relative error = 6.23148656723768e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4175945039583715 y1[1] (numeric) = 0.4175945039583592 absolute error = 1.226796442210798e-14 relative error = 2.937769608033665e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.140999999999985 y2[1] (analytic) = 0.9090506362335261 y2[1] (numeric) = 0.9090506362335318 absolute error = 5.662137425588298e-15 relative error = 6.228627097218984e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4166856618164601 y1[1] (numeric) = 0.4166856618164477 absolute error = 1.23789867245705e-14 relative error = 2.970821379023869e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.141999999999985 y2[1] (analytic) = 0.9094668673006148 y2[1] (numeric) = 0.9094668673006203 absolute error = 5.551115123125783e-15 relative error = 6.103702424698578e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4157764029889215 y1[1] (numeric) = 0.415776402988909 absolute error = 1.249000902703301e-14 relative error = 3.004020655632497e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.142999999999985 y2[1] (analytic) = 0.9098821889009118 y2[1] (numeric) = 0.9098821889009174 absolute error = 5.662137425588298e-15 relative error = 6.222934677321086e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4148667283850146 y1[1] (numeric) = 0.414866728385002 absolute error = 1.265654248072678e-14 relative error = 3.050748979074782e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.143999999999985 y2[1] (analytic) = 0.9102966006190958 y2[1] (numeric) = 0.9102966006191014 absolute error = 5.662137425588298e-15 relative error = 6.220101691841384e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4139566389144139 y1[1] (numeric) = 0.4139566389144012 absolute error = 1.271205363195804e-14 relative error = 3.070865988596036e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.144999999999985 y2[1] (analytic) = 0.910710102040755 y2[1] (numeric) = 0.9107101020407607 absolute error = 5.773159728050814e-15 relative error = 6.339184901006469e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4130461354872088 y1[1] (numeric) = 0.413046135487196 absolute error = 1.282307593442056e-14 relative error = 3.104514201372467e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.145999999999985 y2[1] (analytic) = 0.911122692752388 y2[1] (numeric) = 0.9111226927523939 absolute error = 5.88418203051333e-15 relative error = 6.458166476721098e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4121352190139027 y1[1] (numeric) = 0.4121352190138897 absolute error = 1.293409823688307e-14 relative error = 3.138314232845692e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.146999999999984 y2[1] (analytic) = 0.9115343723414043 y2[1] (numeric) = 0.9115343723414101 absolute error = 5.773159728050814e-15 relative error = 6.33345258634805e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4112238904054118 y1[1] (numeric) = 0.4112238904053988 absolute error = 1.304512053934559e-14 relative error = 3.172267186734906e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.147999999999984 y2[1] (analytic) = 0.9119451403961242 y2[1] (numeric) = 0.9119451403961299 absolute error = 5.773159728050814e-15 relative error = 6.33059980509695e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4103121505730648 y1[1] (numeric) = 0.4103121505730516 absolute error = 1.315614284180811e-14 relative error = 3.20637417718035e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.148999999999984 y2[1] (analytic) = 0.9123549965057797 y2[1] (numeric) = 0.9123549965057854 absolute error = 5.773159728050814e-15 relative error = 6.327755917555543e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4094000004286014 y1[1] (numeric) = 0.4094000004285882 absolute error = 1.326716514427062e-14 relative error = 3.240636328866929e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y2[1] (analytic) = 0.9127639402605146 y2[1] (numeric) = 0.9127639402605204 absolute error = 5.88418203051333e-15 relative error = 6.446554000406621e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4084874408841718 y1[1] (numeric) = 0.4084874408841584 absolute error = 1.337818744673314e-14 relative error = 3.27505477714958e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.150999999999984 y2[1] (analytic) = 0.9131719712513854 y2[1] (numeric) = 0.9131719712513913 absolute error = 5.88418203051333e-15 relative error = 6.443673498267595e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4075744728523352 y1[1] (numeric) = 0.4075744728523218 absolute error = 1.343369859796439e-14 relative error = 3.296010788887517e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.151999999999984 y2[1] (analytic) = 0.913579089070361 y2[1] (numeric) = 0.9135790890703669 absolute error = 5.88418203051333e-15 relative error = 6.44080200708288e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4066610972460599 y1[1] (numeric) = 0.4066610972460463 absolute error = 1.360023205165817e-14 relative error = 3.344365159037828e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.152999999999984 y2[1] (analytic) = 0.9139852933103237 y2[1] (numeric) = 0.9139852933103296 absolute error = 5.88418203051333e-15 relative error = 6.43793950907204e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4057473149787211 y1[1] (numeric) = 0.4057473149787074 absolute error = 1.365574320288943e-14 relative error = 3.36557820563904e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.153999999999984 y2[1] (analytic) = 0.9143905835650693 y2[1] (numeric) = 0.9143905835650752 absolute error = 5.88418203051333e-15 relative error = 6.435085986528647e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4048331269641011 y1[1] (numeric) = 0.4048331269640874 absolute error = 1.376676550535194e-14 relative error = 3.400602517039748e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.154999999999984 y2[1] (analytic) = 0.9147949594293074 y2[1] (numeric) = 0.9147949594293134 absolute error = 5.995204332975845e-15 relative error = 6.553604467514708e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.403918534116388 y1[1] (numeric) = 0.4039185341163741 absolute error = 1.393329895904571e-14 relative error = 3.449531968005923e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.155999999999983 y2[1] (analytic) = 0.9151984204986625 y2[1] (numeric) = 0.9151984204986685 absolute error = 5.995204332975845e-15 relative error = 6.550715340733706e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4030035373501744 y1[1] (numeric) = 0.4030035373501604 absolute error = 1.398881011027697e-14 relative error = 3.471138293786721e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.156999999999983 y2[1] (analytic) = 0.9156009663696733 y2[1] (numeric) = 0.9156009663696792 absolute error = 5.995204332975845e-15 relative error = 6.547835305096528e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.402088137580457 y1[1] (numeric) = 0.4020881375804429 absolute error = 1.409983241273949e-14 relative error = 3.50665217272622e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.157999999999983 y2[1] (analytic) = 0.9160025966397939 y2[1] (numeric) = 0.9160025966398 absolute error = 6.106226635438361e-15 relative error = 6.666167386247656e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4011723357226356 y1[1] (numeric) = 0.4011723357226213 absolute error = 1.426636586643326e-14 relative error = 3.556168906994826e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.158999999999983 y2[1] (analytic) = 0.9164033109073944 y2[1] (numeric) = 0.9164033109074005 absolute error = 6.106226635438361e-15 relative error = 6.663252481478012e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.4002561326925118 y1[1] (numeric) = 0.4002561326924974 absolute error = 1.432187701766452e-14 relative error = 3.578178033481125e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y2[1] (analytic) = 0.9168031087717602 y2[1] (numeric) = 0.9168031087717663 absolute error = 6.106226635438361e-15 relative error = 6.660346782221173e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3993395294062887 y1[1] (numeric) = 0.3993395294062743 absolute error = 1.443289932012704e-14 relative error = 3.614192499696913e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.160999999999983 y2[1] (analytic) = 0.9172019898330936 y2[1] (numeric) = 0.9172019898330998 absolute error = 6.106226635438361e-15 relative error = 6.657450270631807e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3984225267805695 y1[1] (numeric) = 0.398422526780555 absolute error = 1.454392162258955e-14 relative error = 3.650376332912419e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.161999999999983 y2[1] (analytic) = 0.9175999536925137 y2[1] (numeric) = 0.9175999536925199 absolute error = 6.217248937900877e-15 relative error = 6.775554982192455e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3975051257323567 y1[1] (numeric) = 0.397505125732342 absolute error = 1.465494392505207e-14 relative error = 3.68673080581088e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.162999999999983 y2[1] (analytic) = 0.9179969999520565 y2[1] (numeric) = 0.9179969999520627 absolute error = 6.217248937900877e-15 relative error = 6.772624461981444e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3965873271790513 y1[1] (numeric) = 0.3965873271790366 absolute error = 1.476596622751458e-14 relative error = 3.723257203538438e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.163999999999983 y2[1] (analytic) = 0.918393128214676 y2[1] (numeric) = 0.9183931282146822 absolute error = 6.217248937900877e-15 relative error = 6.769703242430603e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3956691320384518 y1[1] (numeric) = 0.3956691320384369 absolute error = 1.48769885299771e-14 relative error = 3.759956823857396e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.164999999999982 y2[1] (analytic) = 0.9187883380842436 y2[1] (numeric) = 0.91878833808425 absolute error = 6.328271240363392e-15 relative error = 6.887626864701404e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3947505412287532 y1[1] (numeric) = 0.3947505412287382 absolute error = 1.498801083243961e-14 relative error = 3.796830977301749e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.165999999999982 y2[1] (analytic) = 0.9191826291655498 y2[1] (numeric) = 0.9191826291655562 absolute error = 6.328271240363392e-15 relative error = 6.884672359516094e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3938315556685463 y1[1] (numeric) = 0.3938315556685312 absolute error = 1.509903313490213e-14 relative error = 3.83388098733502e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.166999999999982 y2[1] (analytic) = 0.9195760010643035 y2[1] (numeric) = 0.9195760010643098 absolute error = 6.328271240363392e-15 relative error = 6.881727266739396e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3929121762768165 y1[1] (numeric) = 0.3929121762768013 absolute error = 1.515454428613339e-14 relative error = 3.856980058428281e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.167999999999982 y2[1] (analytic) = 0.9199684533871327 y2[1] (numeric) = 0.9199684533871391 absolute error = 6.328271240363392e-15 relative error = 6.878791568410865e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3919924039729432 y1[1] (numeric) = 0.3919924039729279 absolute error = 1.52655665885959e-14 relative error = 3.89435265425439e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.168999999999982 y2[1] (analytic) = 0.9203599857415852 y2[1] (numeric) = 0.9203599857415916 absolute error = 6.439293542825908e-15 relative error = 6.996494461498575e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3910722396766985 y1[1] (numeric) = 0.3910722396766831 absolute error = 1.537658889105842e-14 relative error = 3.931904986089098e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y2[1] (analytic) = 0.9207505977361286 y2[1] (numeric) = 0.9207505977361351 absolute error = 6.550315845288424e-15 relative error = 7.114104363759135e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3901516843082468 y1[1] (numeric) = 0.3901516843082313 absolute error = 1.548761119352093e-14 relative error = 3.96963842946905e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.170999999999982 y2[1] (analytic) = 0.921140288980151 y2[1] (numeric) = 0.9211402889801575 absolute error = 6.550315845288424e-15 relative error = 7.111094719937466e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3892307387881433 y1[1] (numeric) = 0.3892307387881277 absolute error = 1.565414464721471e-14 relative error = 4.021816133009781e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.171999999999982 y2[1] (analytic) = 0.9215290590839612 y2[1] (numeric) = 0.9215290590839678 absolute error = 6.550315845288424e-15 relative error = 7.10809472660549e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3883094040373335 y1[1] (numeric) = 0.3883094040373177 absolute error = 1.576516694967722e-14 relative error = 4.059949819850745e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.172999999999982 y2[1] (analytic) = 0.9219169076587891 y2[1] (numeric) = 0.9219169076587957 absolute error = 6.661338147750939e-15 relative error = 7.225529863279576e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.387387680977152 y1[1] (numeric) = 0.3873876809771361 absolute error = 1.587618925213974e-14 relative error = 4.098269003313017e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.173999999999982 y2[1] (analytic) = 0.9223038343167862 y2[1] (numeric) = 0.9223038343167929 absolute error = 6.661338147750939e-15 relative error = 7.222498595254622e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3864655705293217 y1[1] (numeric) = 0.3864655705293057 absolute error = 1.598721155460225e-14 relative error = 4.136775116268547e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.174999999999981 y2[1] (analytic) = 0.9226898386710258 y2[1] (numeric) = 0.9226898386710325 absolute error = 6.661338147750939e-15 relative error = 7.219477085978792e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3855430736159532 y1[1] (numeric) = 0.3855430736159371 absolute error = 1.609823385706477e-14 relative error = 4.175469606049914e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.175999999999981 y2[1] (analytic) = 0.9230749203355036 y2[1] (numeric) = 0.9230749203355104 absolute error = 6.772360450213455e-15 relative error = 7.336739739123182e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3846201911595432 y1[1] (numeric) = 0.3846201911595269 absolute error = 1.620925615952729e-14 relative error = 4.214353934633549e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.176999999999981 y2[1] (analytic) = 0.9234590789251381 y2[1] (numeric) = 0.9234590789251449 absolute error = 6.772360450213455e-15 relative error = 7.333687658467938e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.383696924082974 y1[1] (numeric) = 0.3836969240829577 absolute error = 1.63202784619898e-14 relative error = 4.25342957882575e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.177999999999981 y2[1] (analytic) = 0.9238423140557706 y2[1] (numeric) = 0.9238423140557774 absolute error = 6.883382752675971e-15 relative error = 7.450819959152071e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3827732733095128 y1[1] (numeric) = 0.3827732733094963 absolute error = 1.643130076445232e-14 relative error = 4.292698030451533e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.178999999999981 y2[1] (analytic) = 0.9242246253441659 y2[1] (numeric) = 0.9242246253441728 absolute error = 6.883382752675971e-15 relative error = 7.447737880942864e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3818492397628101 y1[1] (numeric) = 0.3818492397627936 absolute error = 1.654232306691483e-14 relative error = 4.332160796546375e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y2[1] (analytic) = 0.9246060124080131 y2[1] (numeric) = 0.9246060124080199 absolute error = 6.772360450213455e-15 relative error = 7.324590538380499e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3809248243668995 y1[1] (numeric) = 0.3809248243668829 absolute error = 1.665334536937735e-14 relative error = 4.371819399550911e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.180999999999981 y2[1] (analytic) = 0.9249864748659248 y2[1] (numeric) = 0.9249864748659317 absolute error = 6.883382752675971e-15 relative error = 7.441603677149664e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3800000280461963 y1[1] (numeric) = 0.3800000280461795 absolute error = 1.676436767183986e-14 relative error = 4.411675377508613e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.181999999999981 y2[1] (analytic) = 0.9253660123374386 y2[1] (numeric) = 0.9253660123374456 absolute error = 6.994405055138486e-15 relative error = 7.558528151980523e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3790748517254967 y1[1] (numeric) = 0.3790748517254798 absolute error = 1.687538997430238e-14 relative error = 4.45173028426653e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.182999999999981 y2[1] (analytic) = 0.9257446244430174 y2[1] (numeric) = 0.9257446244430244 absolute error = 6.994405055138486e-15 relative error = 7.555436856408141e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3781492963299769 y1[1] (numeric) = 0.3781492963299599 absolute error = 1.69864122767649e-14 relative error = 4.491985689679131e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18399999999998 y2[1] (analytic) = 0.9261223108040488 y2[1] (numeric) = 0.9261223108040558 absolute error = 6.994405055138486e-15 relative error = 7.552355637632813e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3772233627851924 y1[1] (numeric) = 0.3772233627851753 absolute error = 1.709743457922741e-14 relative error = 4.532443179815309e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18499999999998 y2[1] (analytic) = 0.9264990710428466 y2[1] (numeric) = 0.9264990710428537 absolute error = 7.105427357601002e-15 relative error = 7.669114389508553e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3762970520170764 y1[1] (numeric) = 0.3762970520170593 absolute error = 1.715294573045867e-14 relative error = 4.55835240762935e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18599999999998 y2[1] (analytic) = 0.9268749047826506 y2[1] (numeric) = 0.9268749047826577 absolute error = 7.105427357601002e-15 relative error = 7.666004679743923e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3753703649519399 y1[1] (numeric) = 0.3753703649519226 absolute error = 1.726396803292118e-14 relative error = 4.599182472790988e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18699999999998 y2[1] (analytic) = 0.9272498116476269 y2[1] (numeric) = 0.9272498116476341 absolute error = 7.216449660063518e-15 relative error = 7.782638043614842e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3744433025164696 y1[1] (numeric) = 0.3744433025164522 absolute error = 1.73749903353837e-14 relative error = 4.640219285166537e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18799999999998 y2[1] (analytic) = 0.927623791262869 y2[1] (numeric) = 0.9276237912628762 absolute error = 7.216449660063518e-15 relative error = 7.779500405265617e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3735158656377281 y1[1] (numeric) = 0.3735158656377106 absolute error = 1.748601263784622e-14 relative error = 4.68146449629153e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18899999999998 y2[1] (analytic) = 0.927996843254397 y2[1] (numeric) = 0.9279968432544042 absolute error = 7.216449660063518e-15 relative error = 7.7763730690679e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.372588055243152 y1[1] (numeric) = 0.3725880552431344 absolute error = 1.759703494030873e-14 relative error = 4.722919774984428e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y2[1] (analytic) = 0.9283689672491592 y2[1] (numeric) = 0.9283689672491664 absolute error = 7.216449660063518e-15 relative error = 7.773256016351459e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3716598722605517 y1[1] (numeric) = 0.371659872260534 absolute error = 1.770805724277125e-14 relative error = 4.764586807573628e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.19099999999998 y2[1] (analytic) = 0.9287401628750315 y2[1] (numeric) = 0.9287401628750387 absolute error = 7.216449660063518e-15 relative error = 7.770149228524901e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3707313176181102 y1[1] (numeric) = 0.3707313176180924 absolute error = 1.781907954523376e-14 relative error = 4.806467298128067e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.19199999999998 y2[1] (analytic) = 0.9291104297608183 y2[1] (numeric) = 0.9291104297608255 absolute error = 7.216449660063518e-15 relative error = 7.767052687075372e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3698023922443819 y1[1] (numeric) = 0.369802392244364 absolute error = 1.798561299892754e-14 relative error = 4.863573999554292e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.192999999999979 y2[1] (analytic) = 0.9294797675362526 y2[1] (numeric) = 0.9294797675362599 absolute error = 7.327471962526033e-15 relative error = 7.883412010084704e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3688730970682922 y1[1] (numeric) = 0.3688730970682741 absolute error = 1.809663530139005e-14 relative error = 4.905924407395773e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.193999999999979 y2[1] (analytic) = 0.929848175831997 y2[1] (numeric) = 0.9298481758320043 absolute error = 7.327471962526033e-15 relative error = 7.880288581487679e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3679434330191362 y1[1] (numeric) = 0.367943433019118 absolute error = 1.815214645262131e-14 relative error = 4.933406829325649e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.194999999999979 y2[1] (analytic) = 0.930215654279643 y2[1] (numeric) = 0.9302156542796504 absolute error = 7.327471962526033e-15 relative error = 7.877175500986824e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3670134010265778 y1[1] (numeric) = 0.3670134010265595 absolute error = 1.826316875508383e-14 relative error = 4.976158555518595e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.195999999999979 y2[1] (analytic) = 0.9305822025117123 y2[1] (numeric) = 0.9305822025117196 absolute error = 7.327471962526033e-15 relative error = 7.874072750100558e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.366083002020649 y1[1] (numeric) = 0.3660830020206306 absolute error = 1.837419105754634e-14 relative error = 5.019132534460025e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.196999999999979 y2[1] (analytic) = 0.9309478201616566 y2[1] (numeric) = 0.930947820161664 absolute error = 7.438494264988549e-15 relative error = 7.990237587856293e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3651522369317486 y1[1] (numeric) = 0.3651522369317302 absolute error = 1.848521336000886e-14 relative error = 5.06233058171405e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.197999999999979 y2[1] (analytic) = 0.9313125068638584 y2[1] (numeric) = 0.9313125068638657 absolute error = 7.327471962526033e-15 relative error = 7.86789816363669e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3642211066906418 y1[1] (numeric) = 0.3642211066906232 absolute error = 1.859623566247137e-14 relative error = 5.105754532305687e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.198999999999979 y2[1] (analytic) = 0.9316762622536308 y2[1] (numeric) = 0.9316762622536382 absolute error = 7.438494264988549e-15 relative error = 7.983990326205782e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3632896122284586 y1[1] (numeric) = 0.3632896122284399 absolute error = 1.870725796493389e-14 relative error = 5.149406240982642e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.199999999999979 y2[1] (analytic) = 0.9320390859672186 y2[1] (numeric) = 0.9320390859672261 absolute error = 7.438494264988549e-15 relative error = 7.980882322407424e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3623577544766935 y1[1] (numeric) = 0.3623577544766747 absolute error = 1.88182802673964e-14 relative error = 5.193287582481356e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.200999999999979 y2[1] (analytic) = 0.9324009776417982 y2[1] (numeric) = 0.9324009776418056 absolute error = 7.438494264988549e-15 relative error = 7.977784712111495e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3614255343672041 y1[1] (numeric) = 0.3614255343671852 absolute error = 1.892930256985892e-14 relative error = 5.237400451797346e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.201999999999978 y2[1] (analytic) = 0.9327619369154778 y2[1] (numeric) = 0.9327619369154853 absolute error = 7.438494264988549e-15 relative error = 7.974697477029004e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3604929528322104 y1[1] (numeric) = 0.3604929528321914 absolute error = 1.898481372109018e-14 relative error = 5.266348085846372e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.202999999999978 y2[1] (analytic) = 0.9331219634272981 y2[1] (numeric) = 0.9331219634273057 absolute error = 7.549516567451064e-15 relative error = 8.090600010873355e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.359560010804294 y1[1] (numeric) = 0.3595600108042749 absolute error = 1.909583602355269e-14 relative error = 5.310889823603444e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.203999999999978 y2[1] (analytic) = 0.9334810568172329 y2[1] (numeric) = 0.9334810568172405 absolute error = 7.549516567451064e-15 relative error = 8.087487702419644e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3586267092163967 y1[1] (numeric) = 0.3586267092163775 absolute error = 1.920685832601521e-14 relative error = 5.355668675091826e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.204999999999978 y2[1] (analytic) = 0.9338392167261886 y2[1] (numeric) = 0.9338392167261962 absolute error = 7.549516567451064e-15 relative error = 8.084385868819922e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.35769304900182 y1[1] (numeric) = 0.3576930490018007 absolute error = 1.931788062847772e-14 relative error = 5.400686617306737e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.205999999999978 y2[1] (analytic) = 0.9341964427960054 y2[1] (numeric) = 0.934196442796013 absolute error = 7.549516567451064e-15 relative error = 8.081294491826281e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3567590310942242 y1[1] (numeric) = 0.3567590310942048 absolute error = 1.942890293094024e-14 relative error = 5.445945648901833e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.206999999999978 y2[1] (analytic) = 0.9345527346694573 y2[1] (numeric) = 0.9345527346694649 absolute error = 7.549516567451064e-15 relative error = 8.078213553268622e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.355824656427627 y1[1] (numeric) = 0.3558246564276075 absolute error = 1.953992523340276e-14 relative error = 5.491447790486964e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.207999999999978 y2[1] (analytic) = 0.9349080919902525 y2[1] (numeric) = 0.9349080919902599 absolute error = 7.438494264988549e-15 relative error = 7.956390931597695e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3548899259364031 y1[1] (numeric) = 0.3548899259363834 absolute error = 1.965094753586527e-14 relative error = 5.537195084930857e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.208999999999978 y2[1] (analytic) = 0.9352625144030334 y2[1] (numeric) = 0.935262514403041 absolute error = 7.549516567451064e-15 relative error = 8.072082919168238e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3539548405552828 y1[1] (numeric) = 0.353954840555263 absolute error = 1.976196983832779e-14 relative error = 5.583189597668815e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.209999999999978 y2[1] (analytic) = 0.935616001553378 y2[1] (numeric) = 0.9356160015533855 absolute error = 7.549516567451064e-15 relative error = 8.069033187671871e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3530194012193514 y1[1] (numeric) = 0.3530194012193315 absolute error = 1.98729921407903e-14 relative error = 5.629433417015532e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.210999999999977 y2[1] (analytic) = 0.9359685530877989 y2[1] (numeric) = 0.9359685530878065 absolute error = 7.549516567451064e-15 relative error = 8.065993822703655e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3520836088640482 y1[1] (numeric) = 0.3520836088640282 absolute error = 1.992850329202156e-14 relative error = 5.660162185998456e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.211999999999977 y2[1] (analytic) = 0.9363201686537448 y2[1] (numeric) = 0.9363201686537523 absolute error = 7.549516567451064e-15 relative error = 8.062964806478401e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3511474644251655 y1[1] (numeric) = 0.3511474644251454 absolute error = 2.003952559448408e-14 relative error = 5.706868943874941e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.212999999999977 y2[1] (analytic) = 0.9366708478996001 y2[1] (numeric) = 0.9366708478996076 absolute error = 7.549516567451064e-15 relative error = 8.059946121287082e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3502109688388476 y1[1] (numeric) = 0.3502109688388275 absolute error = 2.015054789694659e-14 relative error = 5.753831173180366e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.213999999999977 y2[1] (analytic) = 0.9370205904746854 y2[1] (numeric) = 0.9370205904746931 absolute error = 7.66053886991358e-15 relative error = 8.175422128165642e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3492741230415901 y1[1] (numeric) = 0.3492741230415699 absolute error = 2.020605904817785e-14 relative error = 5.785157764399225e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.214999999999977 y2[1] (analytic) = 0.9373693960292585 y2[1] (numeric) = 0.9373693960292662 absolute error = 7.66053886991358e-15 relative error = 8.172379962866281e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3483369279702386 y1[1] (numeric) = 0.3483369279702183 absolute error = 2.037259250187162e-14 relative error = 5.848530794763231e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.215999999999977 y2[1] (analytic) = 0.9377172642145135 y2[1] (numeric) = 0.9377172642145213 absolute error = 7.771561172376096e-15 relative error = 8.287744578197573e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3473993845619882 y1[1] (numeric) = 0.3473993845619677 absolute error = 2.048361480433414e-14 relative error = 5.896272622981329e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.216999999999977 y2[1] (analytic) = 0.9380641946825826 y2[1] (numeric) = 0.9380641946825903 absolute error = 7.66053886991358e-15 relative error = 8.166326903145167e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3464614937543822 y1[1] (numeric) = 0.3464614937543616 absolute error = 2.059463710679665e-14 relative error = 5.944278795206275e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.217999999999977 y2[1] (analytic) = 0.9384101870865351 y2[1] (numeric) = 0.9384101870865428 absolute error = 7.66053886991358e-15 relative error = 8.163315973473301e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3455232564853113 y1[1] (numeric) = 0.3455232564852906 absolute error = 2.070565940925917e-14 relative error = 5.992551592584159e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.218999999999977 y2[1] (analytic) = 0.9387552410803787 y2[1] (numeric) = 0.9387552410803864 absolute error = 7.771561172376096e-15 relative error = 8.278580861431031e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3445846736930127 y1[1] (numeric) = 0.3445846736929919 absolute error = 2.081668171172169e-14 relative error = 6.041093322179231e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y2[1] (analytic) = 0.9390993563190595 y2[1] (numeric) = 0.9390993563190673 absolute error = 7.771561172376096e-15 relative error = 8.275547331687984e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3436457463160691 y1[1] (numeric) = 0.3436457463160482 absolute error = 2.09277040141842e-14 relative error = 6.08990631734341e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.220999999999976 y2[1] (analytic) = 0.9394425324584622 y2[1] (numeric) = 0.93944253245847 absolute error = 7.771561172376096e-15 relative error = 8.272524293783471e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3427064752934079 y1[1] (numeric) = 0.3427064752933869 absolute error = 2.103872631664672e-14 relative error = 6.138992938092117e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.221999999999976 y2[1] (analytic) = 0.9397847691554108 y2[1] (numeric) = 0.9397847691554185 absolute error = 7.771561172376096e-15 relative error = 8.269511730180982e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3417668615642999 y1[1] (numeric) = 0.3417668615642788 absolute error = 2.114974861910923e-14 relative error = 6.188355571486595e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.222999999999976 y2[1] (analytic) = 0.9401260660676685 y2[1] (numeric) = 0.9401260660676762 absolute error = 7.771561172376096e-15 relative error = 8.26650962341971e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3408269060683589 y1[1] (numeric) = 0.3408269060683376 absolute error = 2.126077092157175e-14 relative error = 6.237996632022803e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.223999999999976 y2[1] (analytic) = 0.9404664228539384 y2[1] (numeric) = 0.9404664228539462 absolute error = 7.771561172376096e-15 relative error = 8.26351795611429e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3398866097455401 y1[1] (numeric) = 0.3398866097455188 absolute error = 2.137179322403426e-14 relative error = 6.287918562027052e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.224999999999976 y2[1] (analytic) = 0.940805839173864 y2[1] (numeric) = 0.9408058391738717 absolute error = 7.771561172376096e-15 relative error = 8.26053671095454e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.33894597353614 y1[1] (numeric) = 0.3389459735361185 absolute error = 2.148281552649678e-14 relative error = 6.338123832058499e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.225999999999976 y2[1] (analytic) = 0.9411443146880286 y2[1] (numeric) = 0.9411443146880365 absolute error = 7.882583474838611e-15 relative error = 8.375531097429556e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3380049983807946 y1[1] (numeric) = 0.338004998380773 absolute error = 2.159383782895929e-14 relative error = 6.388614941318648e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.226999999999976 y2[1] (analytic) = 0.9414818490579571 y2[1] (numeric) = 0.9414818490579649 absolute error = 7.882583474838611e-15 relative error = 8.372528352751455e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3370636852204789 y1[1] (numeric) = 0.3370636852204572 absolute error = 2.170486013142181e-14 relative error = 6.439394418067999e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.227999999999976 y2[1] (analytic) = 0.941818441946115 y2[1] (numeric) = 0.9418184419461229 absolute error = 7.882583474838611e-15 relative error = 8.369536126889309e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3361220349965061 y1[1] (numeric) = 0.3361220349964843 absolute error = 2.181588243388433e-14 relative error = 6.490464820049984e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.228999999999975 y2[1] (analytic) = 0.9421540930159094 y2[1] (numeric) = 0.9421540930159172 absolute error = 7.882583474838611e-15 relative error = 8.366554402588055e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3351800486505263 y1[1] (numeric) = 0.3351800486505044 absolute error = 2.187139358511558e-14 relative error = 6.525267143188369e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y2[1] (analytic) = 0.9424888019316893 y2[1] (numeric) = 0.9424888019316972 absolute error = 7.882583474838611e-15 relative error = 8.363583162667575e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3342377271245258 y1[1] (numeric) = 0.3342377271245038 absolute error = 2.19824158875781e-14 relative error = 6.576880496613773e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.230999999999975 y2[1] (analytic) = 0.9428225683587458 y2[1] (numeric) = 0.9428225683587537 absolute error = 7.882583474838611e-15 relative error = 8.36062239002246e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3332950713608261 y1[1] (numeric) = 0.3332950713608039 absolute error = 2.214894934127187e-14 relative error = 6.64544760618238e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.231999999999975 y2[1] (analytic) = 0.9431553919633124 y2[1] (numeric) = 0.9431553919633204 absolute error = 7.993605777301127e-15 relative error = 8.475385758715005e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3323520823020827 y1[1] (numeric) = 0.3323520823020605 absolute error = 2.225997164373439e-14 relative error = 6.697707891446809e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.232999999999975 y2[1] (analytic) = 0.9434872724125658 y2[1] (numeric) = 0.9434872724125738 absolute error = 7.993605777301127e-15 relative error = 8.472404462712988e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3314087608912848 y1[1] (numeric) = 0.3314087608912624 absolute error = 2.23709939461969e-14 relative error = 6.750272348272494e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.233999999999975 y2[1] (analytic) = 0.9438182093746255 y2[1] (numeric) = 0.9438182093746333 absolute error = 7.882583474838611e-15 relative error = 8.351802705800321e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3304651080717536 y1[1] (numeric) = 0.3304651080717311 absolute error = 2.248201624865942e-14 relative error = 6.80314372063084e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.234999999999975 y2[1] (analytic) = 0.9441482025185542 y2[1] (numeric) = 0.9441482025185622 absolute error = 7.993605777301127e-15 relative error = 8.466473543007183e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3295211247871418 y1[1] (numeric) = 0.3295211247871192 absolute error = 2.259303855112194e-14 relative error = 6.856324785160947e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.235999999999975 y2[1] (analytic) = 0.9444772515143592 y2[1] (numeric) = 0.9444772515143672 absolute error = 7.993605777301127e-15 relative error = 8.463523885286079e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3285768119814327 y1[1] (numeric) = 0.32857681198141 absolute error = 2.270406085358445e-14 relative error = 6.909818351657578e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.236999999999975 y2[1] (analytic) = 0.9448053560329914 y2[1] (numeric) = 0.9448053560329994 absolute error = 7.993605777301127e-15 relative error = 8.460584739765171e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.327632170598939 y1[1] (numeric) = 0.3276321705989162 absolute error = 2.281508315604697e-14 relative error = 6.963627263567887e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.237999999999974 y2[1] (analytic) = 0.9451325157463464 y2[1] (numeric) = 0.9451325157463544 absolute error = 7.993605777301127e-15 relative error = 8.457656089621238e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.326687201584302 y1[1] (numeric) = 0.3266872015842791 absolute error = 2.292610545850948e-14 relative error = 7.017754398497112e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.238999999999974 y2[1] (analytic) = 0.9454587303272642 y2[1] (numeric) = 0.9454587303272723 absolute error = 8.104628079763643e-15 relative error = 8.572164833634018e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3257419058824907 y1[1] (numeric) = 0.3257419058824677 absolute error = 2.3037127760972e-14 relative error = 7.072202668723408e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y2[1] (analytic) = 0.9457839994495306 y2[1] (numeric) = 0.9457839994495387 absolute error = 8.104628079763643e-15 relative error = 8.569216739213958e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3247962844388006 y1[1] (numeric) = 0.3247962844387774 absolute error = 2.314815006343451e-14 relative error = 7.126975021722017e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.240999999999974 y2[1] (analytic) = 0.9461083227878764 y2[1] (numeric) = 0.9461083227878845 absolute error = 8.104628079763643e-15 relative error = 8.566279235216868e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3238503381988532 y1[1] (numeric) = 0.3238503381988299 absolute error = 2.331468351712829e-14 relative error = 7.199215429817591e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.241999999999974 y2[1] (analytic) = 0.9464317000179782 y2[1] (numeric) = 0.9464317000179863 absolute error = 8.104628079763643e-15 relative error = 8.563352304883373e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3229040681085945 y1[1] (numeric) = 0.3229040681085711 absolute error = 2.34257058195908e-14 relative error = 7.254695165906861e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.242999999999974 y2[1] (analytic) = 0.9467541308164588 y2[1] (numeric) = 0.9467541308164669 absolute error = 8.104628079763643e-15 relative error = 8.560435931527861e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3219574751142946 y1[1] (numeric) = 0.3219574751142711 absolute error = 2.353672812205332e-14 relative error = 7.310508356328052e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.243999999999974 y2[1] (analytic) = 0.9470756148608875 y2[1] (numeric) = 0.9470756148608956 absolute error = 8.104628079763643e-15 relative error = 8.557530098538227e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3210105601625465 y1[1] (numeric) = 0.3210105601625228 absolute error = 2.364775042451583e-14 relative error = 7.366658097646879e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.244999999999974 y2[1] (analytic) = 0.9473961518297803 y2[1] (numeric) = 0.9473961518297884 absolute error = 8.104628079763643e-15 relative error = 8.554634789375639e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3200633242002649 y1[1] (numeric) = 0.3200633242002411 absolute error = 2.375877272697835e-14 relative error = 7.423147524429382e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.245999999999974 y2[1] (analytic) = 0.9477157414026002 y2[1] (numeric) = 0.9477157414026084 absolute error = 8.215650382226158e-15 relative error = 8.668897247678045e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3191157681746858 y1[1] (numeric) = 0.3191157681746619 absolute error = 2.392530618067212e-14 relative error = 7.497375111710328e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.246999999999973 y2[1] (analytic) = 0.9480343832597576 y2[1] (numeric) = 0.9480343832597659 absolute error = 8.215650382226158e-15 relative error = 8.66598356272391e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3181678930333651 y1[1] (numeric) = 0.3181678930333411 absolute error = 2.398081733190338e-14 relative error = 7.537158166172536e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.247999999999973 y2[1] (analytic) = 0.9483520770826109 y2[1] (numeric) = 0.948352077082619 absolute error = 8.104628079763643e-15 relative error = 8.546011840555761e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.317219699724178 y1[1] (numeric) = 0.3172196997241538 absolute error = 2.414735078559715e-14 relative error = 7.612185121728958e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.248999999999973 y2[1] (analytic) = 0.9486688225534661 y2[1] (numeric) = 0.9486688225534742 absolute error = 8.104628079763643e-15 relative error = 8.543158462769945e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3162711891953175 y1[1] (numeric) = 0.3162711891952932 absolute error = 2.425837308805967e-14 relative error = 7.670117897801494e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y2[1] (analytic) = 0.9489846193555778 y2[1] (numeric) = 0.9489846193555859 absolute error = 8.104628079763643e-15 relative error = 8.540315527207608e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3153223623952942 y1[1] (numeric) = 0.3153223623952698 absolute error = 2.436939539052219e-14 relative error = 7.728406956425198e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.250999999999973 y2[1] (analytic) = 0.9492994671731492 y2[1] (numeric) = 0.9492994671731573 absolute error = 8.104628079763643e-15 relative error = 8.537483017764493e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3143732202729347 y1[1] (numeric) = 0.3143732202729103 absolute error = 2.44804176929847e-14 relative error = 7.787055675967285e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.251999999999973 y2[1] (analytic) = 0.9496133656913325 y2[1] (numeric) = 0.9496133656913406 absolute error = 8.104628079763643e-15 relative error = 8.53466091840794e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3134237637773812 y1[1] (numeric) = 0.3134237637773566 absolute error = 2.459143999544722e-14 relative error = 7.846067477166166e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.252999999999973 y2[1] (analytic) = 0.9499263145962292 y2[1] (numeric) = 0.9499263145962373 absolute error = 8.104628079763643e-15 relative error = 8.53184921317666e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.31247399385809 y1[1] (numeric) = 0.3124739938580653 absolute error = 2.470246229790973e-14 relative error = 7.905445823798172e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.253999999999973 y2[1] (analytic) = 0.9502383135748906 y2[1] (numeric) = 0.9502383135748986 absolute error = 7.993605777301127e-15 relative error = 8.412211613767067e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.311523911464831 y1[1] (numeric) = 0.3115239114648062 absolute error = 2.481348460037225e-14 relative error = 7.96519422335692e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.254999999999973 y2[1] (analytic) = 0.9505493623153175 y2[1] (numeric) = 0.9505493623153256 absolute error = 8.104628079763643e-15 relative error = 8.526256921600211e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3105735175476866 y1[1] (numeric) = 0.3105735175476616 absolute error = 2.498001805406602e-14 relative error = 8.043189983263946e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.255999999999972 y2[1] (analytic) = 0.9508594605064614 y2[1] (numeric) = 0.9508594605064695 absolute error = 8.104628079763643e-15 relative error = 8.523476303687225e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3096228130570504 y1[1] (numeric) = 0.3096228130570253 absolute error = 2.509104035652854e-14 relative error = 8.103744071308246e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.256999999999972 y2[1] (analytic) = 0.951168607838224 y2[1] (numeric) = 0.9511686078382321 absolute error = 8.104628079763643e-15 relative error = 8.520706016763422e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.308671798943627 y1[1] (numeric) = 0.3086717989436018 absolute error = 2.520206265899105e-14 relative error = 8.164679360161997e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.257999999999972 y2[1] (analytic) = 0.951476804001458 y2[1] (numeric) = 0.9514768040014661 absolute error = 8.104628079763643e-15 relative error = 8.517946045220903e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3077204761584303 y1[1] (numeric) = 0.307720476158405 absolute error = 2.531308496145357e-14 relative error = 8.225999542656723e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.258999999999972 y2[1] (analytic) = 0.9517840486879673 y2[1] (numeric) = 0.9517840486879754 absolute error = 8.104628079763643e-15 relative error = 8.515196373521766e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3067688456527832 y1[1] (numeric) = 0.3067688456527577 absolute error = 2.542410726391608e-14 relative error = 8.287708358981278e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y2[1] (analytic) = 0.9520903415905072 y2[1] (numeric) = 0.9520903415905153 absolute error = 8.104628079763643e-15 relative error = 8.512456986197884e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3058169083783159 y1[1] (numeric) = 0.3058169083782904 absolute error = 2.55351295663786e-14 relative error = 8.349809597443822e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.260999999999972 y2[1] (analytic) = 0.9523956824027849 y2[1] (numeric) = 0.952395682402793 absolute error = 8.104628079763643e-15 relative error = 8.509727867850678e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3048646652869658 y1[1] (numeric) = 0.3048646652869402 absolute error = 2.564615186884112e-14 relative error = 8.412307095248533e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.261999999999972 y2[1] (analytic) = 0.9527000708194595 y2[1] (numeric) = 0.9527000708194677 absolute error = 8.215650382226158e-15 relative error = 8.623543373057077e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3039121173309758 y1[1] (numeric) = 0.30391211733095 absolute error = 2.575717417130363e-14 relative error = 8.47520473928743e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.262999999999972 y2[1] (analytic) = 0.9530035065361427 y2[1] (numeric) = 0.953003506536151 absolute error = 8.215650382226158e-15 relative error = 8.62079764227455e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3029592654628938 y1[1] (numeric) = 0.3029592654628679 absolute error = 2.592370762499741e-14 relative error = 8.556829442198565e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.263999999999972 y2[1] (analytic) = 0.9533059892493988 y2[1] (numeric) = 0.953305989249407 absolute error = 8.215650382226158e-15 relative error = 8.618062274731838e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3020061106355715 y1[1] (numeric) = 0.3020061106355456 absolute error = 2.597921877622866e-14 relative error = 8.602216266934277e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.264999999999971 y2[1] (analytic) = 0.9536075186567451 y2[1] (numeric) = 0.9536075186567533 absolute error = 8.215650382226158e-15 relative error = 8.615337255099197e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3010526538021638 y1[1] (numeric) = 0.3010526538021377 absolute error = 2.609024107869118e-14 relative error = 8.666338180109958e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.265999999999971 y2[1] (analytic) = 0.9539080944566523 y2[1] (numeric) = 0.9539080944566604 absolute error = 8.104628079763643e-15 relative error = 8.496235776655248e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.3000988959161274 y1[1] (numeric) = 0.3000988959161012 absolute error = 2.620126338115369e-14 relative error = 8.730876300350171e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.266999999999971 y2[1] (analytic) = 0.9542077163485443 y2[1] (numeric) = 0.9542077163485525 absolute error = 8.215650382226158e-15 relative error = 8.609918198591909e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2991448379312201 y1[1] (numeric) = 0.2991448379311938 absolute error = 2.631228568361621e-14 relative error = 8.79583477541604e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.267999999999971 y2[1] (analytic) = 0.9545063840327996 y2[1] (numeric) = 0.9545063840328079 absolute error = 8.215650382226158e-15 relative error = 8.607224131403866e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2981904808014998 y1[1] (numeric) = 0.2981904808014734 absolute error = 2.642330798607873e-14 relative error = 8.861217807844195e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.268999999999971 y2[1] (analytic) = 0.9548040972107504 y2[1] (numeric) = 0.9548040972107587 absolute error = 8.215650382226158e-15 relative error = 8.604540351498667e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2972358254813235 y1[1] (numeric) = 0.297235825481297 absolute error = 2.653433028854124e-14 relative error = 8.927029655854354e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y2[1] (analytic) = 0.9551008555846836 y2[1] (numeric) = 0.9551008555846918 absolute error = 8.215650382226158e-15 relative error = 8.601866843891359e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2962808729253465 y1[1] (numeric) = 0.2962808729253198 absolute error = 2.664535259100376e-14 relative error = 8.993274634275009e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.270999999999971 y2[1] (analytic) = 0.9553966588578408 y2[1] (numeric) = 0.955396658857849 absolute error = 8.215650382226158e-15 relative error = 8.599203593665293e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2953256240885213 y1[1] (numeric) = 0.2953256240884945 absolute error = 2.675637489346627e-14 relative error = 9.059957115487644e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.271999999999971 y2[1] (analytic) = 0.9556915067344187 y2[1] (numeric) = 0.9556915067344269 absolute error = 8.215650382226158e-15 relative error = 8.596550585971924e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2943700799260965 y1[1] (numeric) = 0.2943700799260697 absolute error = 2.686739719592879e-14 relative error = 9.127081530389915e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.272999999999971 y2[1] (analytic) = 0.9559853989195696 y2[1] (numeric) = 0.9559853989195778 absolute error = 8.215650382226158e-15 relative error = 8.593907806030592e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2934142413936164 y1[1] (numeric) = 0.2934142413935895 absolute error = 2.69784194983913e-14 relative error = 9.194652369378228e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27399999999997 y2[1] (analytic) = 0.9562783351194012 y2[1] (numeric) = 0.9562783351194094 absolute error = 8.215650382226158e-15 relative error = 8.591275239128313e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2924581094469194 y1[1] (numeric) = 0.2924581094468923 absolute error = 2.708944180085382e-14 relative error = 9.26267418335018e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27499999999997 y2[1] (analytic) = 0.9565703150409773 y2[1] (numeric) = 0.9565703150409856 absolute error = 8.215650382226158e-15 relative error = 8.588652870619572e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2915016850421373 y1[1] (numeric) = 0.2915016850421101 absolute error = 2.720046410331634e-14 relative error = 9.331151584727355e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27599999999997 y2[1] (analytic) = 0.9568613383923181 y2[1] (numeric) = 0.9568613383923263 absolute error = 8.215650382226158e-15 relative error = 8.586040685926113e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2905449691356944 y1[1] (numeric) = 0.2905449691356671 absolute error = 2.731148640577885e-14 relative error = 9.400089248498896e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27699999999997 y2[1] (analytic) = 0.9571514048824004 y2[1] (numeric) = 0.9571514048824086 absolute error = 8.215650382226158e-15 relative error = 8.583438670536735e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2895879626843066 y1[1] (numeric) = 0.2895879626842792 absolute error = 2.742250870824137e-14 relative error = 9.469491913286438e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27799999999997 y2[1] (analytic) = 0.9574405142211574 y2[1] (numeric) = 0.9574405142211656 absolute error = 8.215650382226158e-15 relative error = 8.580846810007081e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2886306666449803 y1[1] (numeric) = 0.2886306666449527 absolute error = 2.753353101070388e-14 relative error = 9.539364382430821e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27899999999997 y2[1] (analytic) = 0.95772866611948 y2[1] (numeric) = 0.9577286661194883 absolute error = 8.215650382226158e-15 relative error = 8.578265089959443e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2876730819750113 y1[1] (numeric) = 0.2876730819749837 absolute error = 2.76445533131664e-14 relative error = 9.609711525101168e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y2[1] (analytic) = 0.9580158602892163 y2[1] (numeric) = 0.9580158602892246 absolute error = 8.326672684688674e-15 relative error = 8.691581246029609e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2867152096319844 y1[1] (numeric) = 0.2867152096319566 absolute error = 2.781108676686017e-14 relative error = 9.699899353981713e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.28099999999997 y2[1] (analytic) = 0.9583020964431722 y2[1] (numeric) = 0.9583020964431804 absolute error = 8.215650382226158e-15 relative error = 8.57313201413136e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2857570505737718 y1[1] (numeric) = 0.2857570505737438 absolute error = 2.792210906932269e-14 relative error = 9.771275638958992e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.28199999999997 y2[1] (analytic) = 0.9585873742951114 y2[1] (numeric) = 0.9585873742951198 absolute error = 8.326672684688674e-15 relative error = 8.686399287088063e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2847986057585323 y1[1] (numeric) = 0.2847986057585043 absolute error = 2.797762022055394e-14 relative error = 9.823650697319386e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.282999999999969 y2[1] (analytic) = 0.9588716935597563 y2[1] (numeric) = 0.9588716935597646 absolute error = 8.326672684688674e-15 relative error = 8.683823644617538e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2838398761447108 y1[1] (numeric) = 0.2838398761446827 absolute error = 2.814415367424772e-14 relative error = 9.915503789150087e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.283999999999969 y2[1] (analytic) = 0.9591550539527876 y2[1] (numeric) = 0.9591550539527959 absolute error = 8.326672684688674e-15 relative error = 8.681258207808534e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2828808626910369 y1[1] (numeric) = 0.2828808626910086 absolute error = 2.825517597671023e-14 relative error = 9.988366023745692e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.284999999999969 y2[1] (analytic) = 0.9594374551908447 y2[1] (numeric) = 0.9594374551908531 absolute error = 8.43769498715119e-15 relative error = 8.794419001989892e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2819215663565238 y1[1] (numeric) = 0.2819215663564955 absolute error = 2.836619827917275e-14 relative error = 1.006173406517622e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.285999999999969 y2[1] (analytic) = 0.9597188969915267 y2[1] (numeric) = 0.959718896991535 absolute error = 8.326672684688674e-15 relative error = 8.676157894557108e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2809619881004679 y1[1] (numeric) = 0.2809619881004394 absolute error = 2.842170943040401e-14 relative error = 1.011585575065081e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.286999999999969 y2[1] (analytic) = 0.9599993790733916 y2[1] (numeric) = 0.9599993790733999 absolute error = 8.326672684688674e-15 relative error = 8.673622989970812e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2800021288824472 y1[1] (numeric) = 0.2800021288824187 absolute error = 2.853273173286652e-14 relative error = 1.019018385565396e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.287999999999969 y2[1] (analytic) = 0.9602789011559575 y2[1] (numeric) = 0.9602789011559658 absolute error = 8.326672684688674e-15 relative error = 8.671098234757895e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2790419896623211 y1[1] (numeric) = 0.2790419896622924 absolute error = 2.864375403532904e-14 relative error = 1.026503361375537e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.288999999999969 y2[1] (analytic) = 0.9605574629597021 y2[1] (numeric) = 0.9605574629597106 absolute error = 8.43769498715119e-15 relative error = 8.784164729877459e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2780815714002285 y1[1] (numeric) = 0.2780815714001997 absolute error = 2.875477633779155e-14 relative error = 1.034041061872679e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y2[1] (analytic) = 0.960835064206064 y2[1] (numeric) = 0.9608350642060723 absolute error = 8.326672684688674e-15 relative error = 8.666079116886711e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2771208750565877 y1[1] (numeric) = 0.2771208750565588 absolute error = 2.886579864025407e-14 relative error = 1.0416320544008e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.290999999999969 y2[1] (analytic) = 0.9611117046174417 y2[1] (numeric) = 0.96111170461745 absolute error = 8.326672684688674e-15 relative error = 8.66358472660886e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2761599015920949 y1[1] (numeric) = 0.2761599015920659 absolute error = 2.897682094271659e-14 relative error = 1.049276914413053e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.291999999999969 y2[1] (analytic) = 0.9613873839171948 y2[1] (numeric) = 0.9613873839172031 absolute error = 8.326672684688674e-15 relative error = 8.661100430464831e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2751986519677236 y1[1] (numeric) = 0.2751986519676945 absolute error = 2.90878432451791e-14 relative error = 1.056976225617219e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.292999999999968 y2[1] (analytic) = 0.9616621018296442 y2[1] (numeric) = 0.9616621018296525 absolute error = 8.326672684688674e-15 relative error = 8.658626214807123e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2742371271447232 y1[1] (numeric) = 0.274237127144694 absolute error = 2.919886554764162e-14 relative error = 1.064730580124277e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.293999999999968 y2[1] (analytic) = 0.9619358580800719 y2[1] (numeric) = 0.9619358580800802 absolute error = 8.326672684688674e-15 relative error = 8.656162066052807e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2732753280846185 y1[1] (numeric) = 0.2732753280845892 absolute error = 2.930988785010413e-14 relative error = 1.072540578600219e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.294999999999968 y2[1] (analytic) = 0.9622086523947215 y2[1] (numeric) = 0.96220865239473 absolute error = 8.43769498715119e-15 relative error = 8.769090743625782e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2723132557492085 y1[1] (numeric) = 0.2723132557491791 absolute error = 2.942091015256665e-14 relative error = 1.08040683042115e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.295999999999968 y2[1] (analytic) = 0.9624804845007991 y2[1] (numeric) = 0.9624804845008075 absolute error = 8.326672684688674e-15 relative error = 8.651263915244362e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2713509111005655 y1[1] (numeric) = 0.2713509111005359 absolute error = 2.953193245502916e-14 relative error = 1.088329953831787e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.296999999999968 y2[1] (analytic) = 0.9627513541264724 y2[1] (numeric) = 0.9627513541264807 absolute error = 8.326672684688674e-15 relative error = 8.648829886345541e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.270388295101034 y1[1] (numeric) = 0.2703882951010043 absolute error = 2.964295475749168e-14 relative error = 1.096310576107417e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.297999999999968 y2[1] (analytic) = 0.9630212610008717 y2[1] (numeric) = 0.96302126100088 absolute error = 8.326672684688674e-15 relative error = 8.646405870660354e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2694254087132298 y1[1] (numeric) = 0.2694254087132001 absolute error = 2.97539770599542e-14 relative error = 1.104349333719435e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.298999999999968 y2[1] (analytic) = 0.9632902048540903 y2[1] (numeric) = 0.9632902048540987 absolute error = 8.326672684688674e-15 relative error = 8.643991854925917e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2684622529000395 y1[1] (numeric) = 0.2684622529000096 absolute error = 2.986499936241671e-14 relative error = 1.112446872504522e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.299999999999968 y2[1] (analytic) = 0.9635581854171843 y2[1] (numeric) = 0.9635581854171926 absolute error = 8.326672684688674e-15 relative error = 8.641587825942799e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2674988286246186 y1[1] (numeric) = 0.2674988286245886 absolute error = 2.997602166487923e-14 relative error = 1.120603847837577e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.300999999999968 y2[1] (analytic) = 0.9638252024221732 y2[1] (numeric) = 0.9638252024221815 absolute error = 8.326672684688674e-15 relative error = 8.639193770574841e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2665351368503914 y1[1] (numeric) = 0.2665351368503613 absolute error = 3.008704396734174e-14 relative error = 1.128820924808495e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.301999999999967 y2[1] (analytic) = 0.96409125560204 y2[1] (numeric) = 0.9640912556020483 absolute error = 8.326672684688674e-15 relative error = 8.636809675748971e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2655711785410495 y1[1] (numeric) = 0.2655711785410193 absolute error = 3.019806626980426e-14 relative error = 1.137098778402888e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.302999999999967 y2[1] (analytic) = 0.9643563446907315 y2[1] (numeric) = 0.9643563446907398 absolute error = 8.326672684688674e-15 relative error = 8.634435528455027e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2646069546605512 y1[1] (numeric) = 0.2646069546605209 absolute error = 3.030908857226677e-14 relative error = 1.145438093686862e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.303999999999967 y2[1] (analytic) = 0.9646204694231587 y2[1] (numeric) = 0.964620469423167 absolute error = 8.326672684688674e-15 relative error = 8.632071315745569e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2636424661731204 y1[1] (numeric) = 0.26364246617309 absolute error = 3.042011087472929e-14 relative error = 1.153839565995942e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.304999999999967 y2[1] (analytic) = 0.9648836295351969 y2[1] (numeric) = 0.9648836295352052 absolute error = 8.326672684688674e-15 relative error = 8.629717024735711e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2626777140432453 y1[1] (numeric) = 0.2626777140432148 absolute error = 3.05311331771918e-14 relative error = 1.162303901128262e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.305999999999967 y2[1] (analytic) = 0.9651458247636859 y2[1] (numeric) = 0.9651458247636943 absolute error = 8.326672684688674e-15 relative error = 8.627372642602939e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.261712699235678 y1[1] (numeric) = 0.2617126992356474 absolute error = 3.058664432842306e-14 relative error = 1.168710743412536e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.306999999999967 y2[1] (analytic) = 0.9654070548464306 y2[1] (numeric) = 0.965407054846439 absolute error = 8.326672684688674e-15 relative error = 8.625038156586929e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2607474227154334 y1[1] (numeric) = 0.2607474227154027 absolute error = 3.069766663088558e-14 relative error = 1.177295112304426e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.307999999999967 y2[1] (analytic) = 0.965667319522201 y2[1] (numeric) = 0.9656673195222093 absolute error = 8.326672684688674e-15 relative error = 8.622713553989378e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2597818854477877 y1[1] (numeric) = 0.2597818854477569 absolute error = 3.080868893334809e-14 relative error = 1.185944465690629e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.308999999999967 y2[1] (analytic) = 0.9659266185307321 y2[1] (numeric) = 0.9659266185307406 absolute error = 8.43769498715119e-15 relative error = 8.735337473136148e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2588160883982783 y1[1] (numeric) = 0.2588160883982474 absolute error = 3.091971123581061e-14 relative error = 1.194659552547982e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.309999999999967 y2[1] (analytic) = 0.9661849516127254 y2[1] (numeric) = 0.9661849516127338 absolute error = 8.326672684688674e-15 relative error = 8.618093948565494e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.257850032532702 y1[1] (numeric) = 0.257850032532671 absolute error = 3.103073353827313e-14 relative error = 1.203441133339304e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.310999999999966 y2[1] (analytic) = 0.9664423185098475 y2[1] (numeric) = 0.9664423185098558 absolute error = 8.326672684688674e-15 relative error = 8.615798920651083e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2568837188171147 y1[1] (numeric) = 0.2568837188170836 absolute error = 3.114175584073564e-14 relative error = 1.212289980234467e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.311999999999966 y2[1] (analytic) = 0.9666987189647317 y2[1] (numeric) = 0.96669871896474 absolute error = 8.326672684688674e-15 relative error = 8.613513725978629e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.25591714821783 y1[1] (numeric) = 0.2559171482177987 absolute error = 3.125277814319816e-14 relative error = 1.221206877336591e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.312999999999966 y2[1] (analytic) = 0.9669541527209774 y2[1] (numeric) = 0.9669541527209857 absolute error = 8.326672684688674e-15 relative error = 8.611238352157327e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2549503217014183 y1[1] (numeric) = 0.254950321701387 absolute error = 3.136380044566067e-14 relative error = 1.230192620913496e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.313999999999966 y2[1] (analytic) = 0.967208619523151 y2[1] (numeric) = 0.9672086195231593 absolute error = 8.326672684688674e-15 relative error = 8.608972786857353e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2539832402347063 y1[1] (numeric) = 0.2539832402346748 absolute error = 3.147482274812319e-14 relative error = 1.239248019634574e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.314999999999966 y2[1] (analytic) = 0.9674621191167857 y2[1] (numeric) = 0.9674621191167939 absolute error = 8.215650382226158e-15 relative error = 8.49196079090557e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2530159047847751 y1[1] (numeric) = 0.2530159047847435 absolute error = 3.15858450505857e-14 relative error = 1.248373894813206e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.315999999999966 y2[1] (analytic) = 0.9677146512483819 y2[1] (numeric) = 0.9677146512483901 absolute error = 8.215650382226158e-15 relative error = 8.489744752368598e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2520483163189602 y1[1] (numeric) = 0.2520483163189285 absolute error = 3.169686735304822e-14 relative error = 1.257571080654897e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.316999999999966 y2[1] (analytic) = 0.9679662156654074 y2[1] (numeric) = 0.9679662156654156 absolute error = 8.215650382226158e-15 relative error = 8.487538355435771e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.25108047580485 y1[1] (numeric) = 0.2510804758048182 absolute error = 3.180788965551073e-14 relative error = 1.266840424511268e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.317999999999966 y2[1] (analytic) = 0.9682168121162981 y2[1] (numeric) = 0.9682168121163062 absolute error = 8.104628079763643e-15 relative error = 8.370674809962037e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.250112384210285 y1[1] (numeric) = 0.2501123842102531 absolute error = 3.197442310920451e-14 relative error = 1.278402235465543e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.318999999999966 y2[1] (analytic) = 0.9684664403504571 y2[1] (numeric) = 0.9684664403504654 absolute error = 8.215650382226158e-15 relative error = 8.483154438736335e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2491440425033566 y1[1] (numeric) = 0.2491440425033245 absolute error = 3.208544541166702e-14 relative error = 1.287827117569337e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y2[1] (analytic) = 0.9687151001182567 y2[1] (numeric) = 0.9687151001182649 absolute error = 8.215650382226158e-15 relative error = 8.480976895294836e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2481754516524065 y1[1] (numeric) = 0.2481754516523743 absolute error = 3.219646771412954e-14 relative error = 1.29732685081294e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.320999999999965 y2[1] (analytic) = 0.9689627911710368 y2[1] (numeric) = 0.968962791171045 absolute error = 8.215650382226158e-15 relative error = 8.478808946107375e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2472066126260253 y1[1] (numeric) = 0.247206612625993 absolute error = 3.230749001659206e-14 relative error = 1.306902338630678e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.321999999999965 y2[1] (analytic) = 0.9692095132611065 y2[1] (numeric) = 0.9692095132611147 absolute error = 8.215650382226158e-15 relative error = 8.476650579483994e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2462375263930522 y1[1] (numeric) = 0.2462375263930198 absolute error = 3.241851231905457e-14 relative error = 1.31655449898027e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.322999999999965 y2[1] (analytic) = 0.9694552661417437 y2[1] (numeric) = 0.9694552661417519 absolute error = 8.215650382226158e-15 relative error = 8.474501783793447e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2452681939225732 y1[1] (numeric) = 0.2452681939225406 absolute error = 3.252953462151709e-14 relative error = 1.326284264635882e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.323999999999965 y2[1] (analytic) = 0.9697000495671955 y2[1] (numeric) = 0.9697000495672038 absolute error = 8.326672684688674e-15 relative error = 8.586853933239566e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2442986161839207 y1[1] (numeric) = 0.244298616183888 absolute error = 3.26405569239796e-14 relative error = 1.33609258348832e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.324999999999965 y2[1] (analytic) = 0.9699438632926786 y2[1] (numeric) = 0.9699438632926869 absolute error = 8.326672684688674e-15 relative error = 8.584695465180872e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2433287941466723 y1[1] (numeric) = 0.2433287941466395 absolute error = 3.275157922644212e-14 relative error = 1.345980418852539e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.325999999999965 y2[1] (analytic) = 0.9701867070743792 y2[1] (numeric) = 0.9701867070743875 absolute error = 8.326672684688674e-15 relative error = 8.582546662382081e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2423587287806501 y1[1] (numeric) = 0.2423587287806172 absolute error = 3.286260152890463e-14 relative error = 1.355948749782697e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.326999999999965 y2[1] (analytic) = 0.9704285806694536 y2[1] (numeric) = 0.9704285806694619 absolute error = 8.326672684688674e-15 relative error = 8.580407513291179e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2413884210559193 y1[1] (numeric) = 0.2413884210558863 absolute error = 3.297362383136715e-14 relative error = 1.365998571394963e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.327999999999965 y2[1] (analytic) = 0.9706694838360281 y2[1] (numeric) = 0.9706694838360365 absolute error = 8.326672684688674e-15 relative error = 8.57827800641487e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2404178719427876 y1[1] (numeric) = 0.2404178719427545 absolute error = 3.308464613382966e-14 relative error = 1.376130895198292e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.328999999999964 y2[1] (analytic) = 0.9709094163331998 y2[1] (numeric) = 0.9709094163332082 absolute error = 8.326672684688674e-15 relative error = 8.57615813031841e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.239447082411804 y1[1] (numeric) = 0.2394470824117707 absolute error = 3.322342401190781e-14 relative error = 1.387505902233954e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y2[1] (analytic) = 0.971148377921036 y2[1] (numeric) = 0.9711483779210444 absolute error = 8.326672684688674e-15 relative error = 8.57404787362546e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2384760534337579 y1[1] (numeric) = 0.2384760534337245 absolute error = 3.333444631437033e-14 relative error = 1.397811052069835e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.330999999999964 y2[1] (analytic) = 0.9713863683605752 y2[1] (numeric) = 0.9713863683605836 absolute error = 8.326672684688674e-15 relative error = 8.571947225017926e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2375047859796782 y1[1] (numeric) = 0.2375047859796448 absolute error = 3.344546861683284e-14 relative error = 1.408201880179988e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.331999999999964 y2[1] (analytic) = 0.9716233874138271 y2[1] (numeric) = 0.9716233874138354 absolute error = 8.215650382226158e-15 relative error = 8.455591424259331e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2365332810208323 y1[1] (numeric) = 0.2365332810207988 absolute error = 3.355649091929536e-14 relative error = 1.418679467619608e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.332999999999964 y2[1] (analytic) = 0.9718594348437725 y2[1] (numeric) = 0.9718594348437807 absolute error = 8.215650382226158e-15 relative error = 8.453537710982693e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2355615395287252 y1[1] (numeric) = 0.2355615395286915 absolute error = 3.36952687973735e-14 relative error = 1.430423186432969e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.333999999999964 y2[1] (analytic) = 0.972094510414364 y2[1] (numeric) = 0.9720945104143722 absolute error = 8.215650382226158e-15 relative error = 8.451493444525433e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2345895624750982 y1[1] (numeric) = 0.2345895624750644 absolute error = 3.380629109983602e-14 relative error = 1.441082490761906e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.334999999999964 y2[1] (analytic) = 0.9723286138905261 y2[1] (numeric) = 0.9723286138905344 absolute error = 8.326672684688674e-15 relative error = 8.563640487110225e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2336173508319282 y1[1] (numeric) = 0.2336173508318942 absolute error = 3.394506897791416e-14 relative error = 1.45302002856523e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.335999999999964 y2[1] (analytic) = 0.9725617450381554 y2[1] (numeric) = 0.9725617450381636 absolute error = 8.215650382226158e-15 relative error = 8.447433208370584e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2326449055714268 y1[1] (numeric) = 0.2326449055713928 absolute error = 3.402833570476105e-14 relative error = 1.462672720951271e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.336999999999964 y2[1] (analytic) = 0.9727939036241207 y2[1] (numeric) = 0.9727939036241289 absolute error = 8.215650382226158e-15 relative error = 8.445417216965431e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2316722276660393 y1[1] (numeric) = 0.2316722276660052 absolute error = 3.413935800722356e-14 relative error = 1.473605979929377e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.337999999999963 y2[1] (analytic) = 0.9730250894162633 y2[1] (numeric) = 0.9730250894162715 absolute error = 8.215650382226158e-15 relative error = 8.443410628964241e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2306993180884434 y1[1] (numeric) = 0.2306993180884092 absolute error = 3.425038030968608e-14 relative error = 1.484632923646332e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.338999999999963 y2[1] (analytic) = 0.9732553021833976 y2[1] (numeric) = 0.9732553021834058 absolute error = 8.215650382226158e-15 relative error = 8.441413433654249e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2297261778115487 y1[1] (numeric) = 0.2297261778115143 absolute error = 3.436140261214859e-14 relative error = 1.49575476941667e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y2[1] (analytic) = 0.973484541695311 y2[1] (numeric) = 0.9734845416953191 absolute error = 8.104628079763643e-15 relative error = 8.325379328211557e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2287528078084953 y1[1] (numeric) = 0.2287528078084608 absolute error = 3.447242491461111e-14 relative error = 1.506972755651172e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.340999999999963 y2[1] (analytic) = 0.9737128077227637 y2[1] (numeric) = 0.9737128077227718 absolute error = 8.104628079763643e-15 relative error = 8.323427622070674e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2277792090526531 y1[1] (numeric) = 0.2277792090526185 absolute error = 3.458344721707363e-14 relative error = 1.518288142315894e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.341999999999963 y2[1] (analytic) = 0.9739401000374898 y2[1] (numeric) = 0.973940100037498 absolute error = 8.215650382226158e-15 relative error = 8.435478097585174e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2268053825176209 y1[1] (numeric) = 0.2268053825175862 absolute error = 3.466671394392051e-14 relative error = 1.528478449634113e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.342999999999963 y2[1] (analytic) = 0.9741664184121971 y2[1] (numeric) = 0.9741664184122052 absolute error = 8.104628079763643e-15 relative error = 8.319551902613777e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.225831329177225 y1[1] (numeric) = 0.2258313291771902 absolute error = 3.480549182199866e-14 relative error = 1.541216267415423e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.343999999999963 y2[1] (analytic) = 0.9743917626205671 y2[1] (numeric) = 0.9743917626205753 absolute error = 8.104628079763643e-15 relative error = 8.317627868658024e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2248570500055188 y1[1] (numeric) = 0.2248570500054839 absolute error = 3.488875854884554e-14 relative error = 1.551597272488866e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.344999999999963 y2[1] (analytic) = 0.9746161324372558 y2[1] (numeric) = 0.9746161324372639 absolute error = 8.104628079763643e-15 relative error = 8.31571303821549e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2238825459767813 y1[1] (numeric) = 0.2238825459767463 absolute error = 3.499978085130806e-14 relative error = 1.563309935511357e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.345999999999963 y2[1] (analytic) = 0.9748395276378932 y2[1] (numeric) = 0.9748395276379013 absolute error = 8.104628079763643e-15 relative error = 8.313807401102973e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2229078180655165 y1[1] (numeric) = 0.2229078180654814 absolute error = 3.511080315377058e-14 relative error = 1.575126590824683e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.346999999999962 y2[1] (analytic) = 0.9750619479990841 y2[1] (numeric) = 0.9750619479990923 absolute error = 8.215650382226158e-15 relative error = 8.425772740988838e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2219328672464523 y1[1] (numeric) = 0.221932867246417 absolute error = 3.522182545623309e-14 relative error = 1.587048637420609e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.347999999999962 y2[1] (analytic) = 0.9752833932984083 y2[1] (numeric) = 0.9752833932984165 absolute error = 8.215650382226158e-15 relative error = 8.423859607042862e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2209576944945392 y1[1] (numeric) = 0.2209576944945039 absolute error = 3.533284775869561e-14 relative error = 1.599077499406513e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.348999999999962 y2[1] (analytic) = 0.9755038633144206 y2[1] (numeric) = 0.9755038633144287 absolute error = 8.104628079763643e-15 relative error = 8.308145548728997e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2199823007849501 y1[1] (numeric) = 0.2199823007849147 absolute error = 3.547162563677375e-14 relative error = 1.612476345151515e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y2[1] (analytic) = 0.9757233578266508 y2[1] (numeric) = 0.9757233578266589 absolute error = 8.104628079763643e-15 relative error = 8.306276584190916e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2190066870930786 y1[1] (numeric) = 0.219006687093043 absolute error = 3.558264793923627e-14 relative error = 1.624728834152609e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.350999999999962 y2[1] (analytic) = 0.9759418766156045 y2[1] (numeric) = 0.9759418766156125 absolute error = 7.993605777301127e-15 relative error = 8.190657629142375e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2180308543945381 y1[1] (numeric) = 0.2180308543945024 absolute error = 3.569367024169878e-14 relative error = 1.637092618878117e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.351999999999962 y2[1] (analytic) = 0.9761594194627629 y2[1] (numeric) = 0.9761594194627708 absolute error = 7.993605777301127e-15 relative error = 8.188832293090479e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2170548036651615 y1[1] (numeric) = 0.2170548036651257 absolute error = 3.583244811977693e-14 relative error = 1.650847966260801e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.352999999999962 y2[1] (analytic) = 0.9763759861505832 y2[1] (numeric) = 0.9763759861505911 absolute error = 7.882583474838611e-15 relative error = 8.073307400682945e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2160785358809993 y1[1] (numeric) = 0.2160785358809633 absolute error = 3.594347042223944e-14 relative error = 1.66344474131547e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.353999999999962 y2[1] (analytic) = 0.9765915764624986 y2[1] (numeric) = 0.9765915764625066 absolute error = 7.993605777301127e-15 relative error = 8.18520860711938e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2151020520183192 y1[1] (numeric) = 0.2151020520182831 absolute error = 3.605449272470196e-14 relative error = 1.676157544123818e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.354999999999962 y2[1] (analytic) = 0.976806190182919 y2[1] (numeric) = 0.976806190182927 absolute error = 7.993605777301127e-15 relative error = 8.183410238016843e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.214125353053605 y1[1] (numeric) = 0.2141253530535688 absolute error = 3.616551502716447e-14 relative error = 1.688987992846912e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.355999999999961 y2[1] (analytic) = 0.9770198270972307 y2[1] (numeric) = 0.9770198270972387 absolute error = 7.993605777301127e-15 relative error = 8.181620838801691e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2131484399635556 y1[1] (numeric) = 0.2131484399635193 absolute error = 3.630429290524262e-14 relative error = 1.703239906961082e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.356999999999961 y2[1] (analytic) = 0.9772324869917967 y2[1] (numeric) = 0.9772324869918046 absolute error = 7.993605777301127e-15 relative error = 8.17984040001346e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.212171313725084 y1[1] (numeric) = 0.2121713137250476 absolute error = 3.641531520770513e-14 relative error = 1.716316620204814e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.357999999999961 y2[1] (analytic) = 0.9774441696539571 y2[1] (numeric) = 0.9774441696539651 absolute error = 7.993605777301127e-15 relative error = 8.178068912243949e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2111939753153164 y1[1] (numeric) = 0.2111939753152799 absolute error = 3.652633751016765e-14 relative error = 1.729516074292989e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.358999999999961 y2[1] (analytic) = 0.9776548748720292 y2[1] (numeric) = 0.9776548748720373 absolute error = 8.104628079763643e-15 relative error = 8.289866176777878e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.210216425711591 y1[1] (numeric) = 0.2102164257115544 absolute error = 3.663735981263017e-14 relative error = 1.742840013029963e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y2[1] (analytic) = 0.977864602435308 y2[1] (numeric) = 0.977864602435316 absolute error = 7.993605777301127e-15 relative error = 8.1745527523888e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2092386658914575 y1[1] (numeric) = 0.2092386658914207 absolute error = 3.674838211509268e-14 relative error = 1.756290213308658e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.360999999999961 y2[1] (analytic) = 0.9780733521340659 y2[1] (numeric) = 0.9780733521340739 absolute error = 7.993605777301127e-15 relative error = 8.172808061746919e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2082606968326755 y1[1] (numeric) = 0.2082606968326386 absolute error = 3.68594044175552e-14 relative error = 1.769868485899163e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.361999999999961 y2[1] (analytic) = 0.9782811237595531 y2[1] (numeric) = 0.9782811237595611 absolute error = 7.993605777301127e-15 relative error = 8.171072285011027e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.207282519513214 y1[1] (numeric) = 0.207282519513177 absolute error = 3.697042672001771e-14 relative error = 1.783576676260002e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.362999999999961 y2[1] (analytic) = 0.9784879171039981 y2[1] (numeric) = 0.9784879171040061 absolute error = 7.993605777301127e-15 relative error = 8.169345413032352e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2063041349112503 y1[1] (numeric) = 0.2063041349112132 absolute error = 3.708144902248023e-14 relative error = 1.797416665372813e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.363999999999961 y2[1] (analytic) = 0.9786937319606075 y2[1] (numeric) = 0.9786937319606155 absolute error = 7.993605777301127e-15 relative error = 8.167627436713644e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2053255440051688 y1[1] (numeric) = 0.2053255440051316 absolute error = 3.719247132494274e-14 relative error = 1.811390370601257e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36499999999996 y2[1] (analytic) = 0.9788985681235666 y2[1] (numeric) = 0.9788985681235745 absolute error = 7.882583474838611e-15 relative error = 8.052502814411709e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2043467477735605 y1[1] (numeric) = 0.2043467477735232 absolute error = 3.733124920302089e-14 relative error = 1.826858005314974e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36599999999996 y2[1] (analytic) = 0.979102425388039 y2[1] (numeric) = 0.9791024253880469 absolute error = 7.882583474838611e-15 relative error = 8.050826216383416e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2033677471952214 y1[1] (numeric) = 0.203367747195184 absolute error = 3.74422715054834e-14 relative error = 1.841111583418435e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36699999999996 y2[1] (analytic) = 0.9793053035501676 y2[1] (numeric) = 0.9793053035501756 absolute error = 7.993605777301127e-15 relative error = 8.162526791515157e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2023885432491521 y1[1] (numeric) = 0.2023885432491146 absolute error = 3.752553823233029e-14 relative error = 1.854133521092356e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36799999999996 y2[1] (analytic) = 0.9795072024070745 y2[1] (numeric) = 0.9795072024070823 absolute error = 7.882583474838611e-15 relative error = 8.047499248058291e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2014091369145564 y1[1] (numeric) = 0.2014091369145188 absolute error = 3.763656053479281e-14 relative error = 1.868662023548581e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36899999999996 y2[1] (analytic) = 0.9797081217568604 y2[1] (numeric) = 0.9797081217568683 absolute error = 7.882583474838611e-15 relative error = 8.045848860273995e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.2004295291708406 y1[1] (numeric) = 0.2004295291708028 absolute error = 3.774758283725532e-14 relative error = 1.883334406532499e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y2[1] (analytic) = 0.9799080613986062 y2[1] (numeric) = 0.9799080613986141 absolute error = 7.882583474838611e-15 relative error = 8.044207191833827e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1994497209976122 y1[1] (numeric) = 0.1994497209975744 absolute error = 3.785860513971784e-14 relative error = 1.898152825201048e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.37099999999996 y2[1] (analytic) = 0.9801070211323724 y2[1] (numeric) = 0.9801070211323801 absolute error = 7.771561172376096e-15 relative error = 7.929298540680973e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1984697133746796 y1[1] (numeric) = 0.1984697133746416 absolute error = 3.796962744218035e-14 relative error = 1.913119477857041e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.37199999999996 y2[1] (analytic) = 0.980305000759199 y2[1] (numeric) = 0.9803050007592068 absolute error = 7.771561172376096e-15 relative error = 7.927697161962243e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.19748950728205 y1[1] (numeric) = 0.197489507282012 absolute error = 3.808064974464287e-14 relative error = 1.928236607034365e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.37299999999996 y2[1] (analytic) = 0.9805020000811066 y2[1] (numeric) = 0.9805020000811143 absolute error = 7.771561172376096e-15 relative error = 7.926104354436031e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1965091036999297 y1[1] (numeric) = 0.1965091036998915 absolute error = 3.819167204710538e-14 relative error = 1.943506500616086e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.373999999999959 y2[1] (analytic) = 0.9806980189010958 y2[1] (numeric) = 0.9806980189011035 absolute error = 7.771561172376096e-15 relative error = 7.924520109752424e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.195528503608722 y1[1] (numeric) = 0.1955285036086837 absolute error = 3.833044992518353e-14 relative error = 1.960351008561276e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.374999999999959 y2[1] (analytic) = 0.9808930570231478 y2[1] (numeric) = 0.9808930570231555 absolute error = 7.771561172376096e-15 relative error = 7.92294441961036e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.194547707989027 y1[1] (numeric) = 0.1945477079889886 absolute error = 3.844147222764605e-14 relative error = 1.975940638160293e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.375999999999959 y2[1] (analytic) = 0.9810871142522245 y2[1] (numeric) = 0.9810871142522323 absolute error = 7.771561172376096e-15 relative error = 7.921377275757523e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1935667178216403 y1[1] (numeric) = 0.1935667178216017 absolute error = 3.855249453010856e-14 relative error = 1.991690253570983e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.376999999999959 y2[1] (analytic) = 0.9812801903942688 y2[1] (numeric) = 0.9812801903942765 absolute error = 7.66053886991358e-15 relative error = 7.806678403276082e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1925855340875518 y1[1] (numeric) = 0.1925855340875132 absolute error = 3.866351683257108e-14 relative error = 2.007602337099429e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.377999999999959 y2[1] (analytic) = 0.9814722852562044 y2[1] (numeric) = 0.9814722852562121 absolute error = 7.66053886991358e-15 relative error = 7.805150471379705e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1916041577679453 y1[1] (numeric) = 0.1916041577679066 absolute error = 3.877453913503359e-14 relative error = 2.023679422551676e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.378999999999959 y2[1] (analytic) = 0.9816633986459365 y2[1] (numeric) = 0.9816633986459442 absolute error = 7.66053886991358e-15 relative error = 7.80363093956665e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1906225898441971 y1[1] (numeric) = 0.1906225898441582 absolute error = 3.888556143749611e-14 relative error = 2.039924096576315e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y2[1] (analytic) = 0.9818535303723519 y2[1] (numeric) = 0.9818535303723596 absolute error = 7.66053886991358e-15 relative error = 7.802119799893622e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1896408312978748 y1[1] (numeric) = 0.1896408312978358 absolute error = 3.899658373995862e-14 relative error = 2.056339000049281e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.380999999999959 y2[1] (analytic) = 0.9820426802453187 y2[1] (numeric) = 0.9820426802453264 absolute error = 7.66053886991358e-15 relative error = 7.800617044464852e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1886588831107371 y1[1] (numeric) = 0.1886588831106979 absolute error = 3.913536161803677e-14 relative error = 2.074398033781717e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.381999999999959 y2[1] (analytic) = 0.9822308480756871 y2[1] (numeric) = 0.9822308480756947 absolute error = 7.66053886991358e-15 relative error = 7.799122665431994e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1876767462647319 y1[1] (numeric) = 0.1876767462646927 absolute error = 3.927413949611491e-14 relative error = 2.092648145163164e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.382999999999958 y2[1] (analytic) = 0.9824180336752892 y2[1] (numeric) = 0.9824180336752968 absolute error = 7.549516567451064e-15 relative error = 7.684627428110044e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1866944217419962 y1[1] (numeric) = 0.1866944217419568 absolute error = 3.93574062229618e-14 relative error = 2.108119024431918e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.383999999999958 y2[1] (analytic) = 0.9826042368569395 y2[1] (numeric) = 0.9826042368569471 absolute error = 7.549516567451064e-15 relative error = 7.683171193724684e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1857119105248542 y1[1] (numeric) = 0.1857119105248148 absolute error = 3.946842852542432e-14 relative error = 2.125250255294863e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.384999999999958 y2[1] (analytic) = 0.9827894574344349 y2[1] (numeric) = 0.9827894574344425 absolute error = 7.549516567451064e-15 relative error = 7.68172319141378e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1847292135958172 y1[1] (numeric) = 0.1847292135957777 absolute error = 3.957945082788683e-14 relative error = 2.142565870197751e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.385999999999958 y2[1] (analytic) = 0.9829736952225547 y2[1] (numeric) = 0.9829736952225623 absolute error = 7.549516567451064e-15 relative error = 7.680283413628664e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1837463319375821 y1[1] (numeric) = 0.1837463319375423 absolute error = 3.971822870596498e-14 relative error = 2.161579406083443e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.386999999999958 y2[1] (analytic) = 0.9831569500370613 y2[1] (numeric) = 0.9831569500370688 absolute error = 7.549516567451064e-15 relative error = 7.678851852866907e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1827632665330302 y1[1] (numeric) = 0.1827632665329904 absolute error = 3.980149543281186e-14 relative error = 2.177762314486684e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.387999999999958 y2[1] (analytic) = 0.9833392216946997 y2[1] (numeric) = 0.9833392216947072 absolute error = 7.549516567451064e-15 relative error = 7.677428501672219e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1817800183652271 y1[1] (numeric) = 0.1817800183651872 absolute error = 3.991251773527438e-14 relative error = 2.195649340021702e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.388999999999958 y2[1] (analytic) = 0.9835205100131983 y2[1] (numeric) = 0.9835205100132058 absolute error = 7.549516567451064e-15 relative error = 7.676013352634358e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1807965884174208 y1[1] (numeric) = 0.1807965884173807 absolute error = 4.005129561335252e-14 relative error = 2.215268328010848e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.389999999999958 y2[1] (analytic) = 0.9837008148112689 y2[1] (numeric) = 0.9837008148112765 absolute error = 7.549516567451064e-15 relative error = 7.674606398389028e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1798129776730411 y1[1] (numeric) = 0.1798129776730009 absolute error = 4.016231791581504e-14 relative error = 2.233560582531662e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.390999999999958 y2[1] (analytic) = 0.9838801359086067 y2[1] (numeric) = 0.9838801359086142 absolute error = 7.549516567451064e-15 relative error = 7.673207631617786e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1788291871156987 y1[1] (numeric) = 0.1788291871156584 absolute error = 4.027334021827755e-14 relative error = 2.252056326365872e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.391999999999957 y2[1] (analytic) = 0.9840584731258906 y2[1] (numeric) = 0.9840584731258981 absolute error = 7.549516567451064e-15 relative error = 7.671817045047948e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1778452177291841 y1[1] (numeric) = 0.1778452177291437 absolute error = 4.038436252074007e-14 relative error = 2.270758979993257e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.392999999999957 y2[1] (analytic) = 0.9842358262847833 y2[1] (numeric) = 0.9842358262847908 absolute error = 7.438494264988549e-15 relative error = 7.557634122166429e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1768610704974666 y1[1] (numeric) = 0.1768610704974261 absolute error = 4.049538482320258e-14 relative error = 2.289672040845339e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.393999999999957 y2[1] (analytic) = 0.9844121952079318 y2[1] (numeric) = 0.9844121952079392 absolute error = 7.438494264988549e-15 relative error = 7.556280083890426e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1758767464046933 y1[1] (numeric) = 0.1758767464046527 absolute error = 4.06064071256651e-14 relative error = 2.30879908548169e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.394999999999957 y2[1] (analytic) = 0.984587579718967 y2[1] (numeric) = 0.9845875797189745 absolute error = 7.438494264988549e-15 relative error = 7.554934084291145e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1748922464351883 y1[1] (numeric) = 0.1748922464351476 absolute error = 4.071742942812762e-14 relative error = 2.328143771840492e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.395999999999957 y2[1] (analytic) = 0.9847619796425047 y2[1] (numeric) = 0.9847619796425121 absolute error = 7.438494264988549e-15 relative error = 7.55359611638228e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1739075715734515 y1[1] (numeric) = 0.1739075715734106 absolute error = 4.082845173059013e-14 relative error = 2.347709841566378e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.396999999999957 y2[1] (analytic) = 0.9849353948041447 y2[1] (numeric) = 0.9849353948041522 absolute error = 7.438494264988549e-15 relative error = 7.552266173222153e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1729227228041575 y1[1] (numeric) = 0.1729227228041166 absolute error = 4.093947403305265e-14 relative error = 2.367501122418618e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.397999999999957 y2[1] (analytic) = 0.9851078250304721 y2[1] (numeric) = 0.9851078250304794 absolute error = 7.327471962526033e-15 relative error = 7.438243587497008e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1719377011121552 y1[1] (numeric) = 0.1719377011121141 absolute error = 4.105049633551516e-14 relative error = 2.387521530762929e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.398999999999957 y2[1] (analytic) = 0.9852792701490565 y2[1] (numeric) = 0.9852792701490638 absolute error = 7.327471962526033e-15 relative error = 7.436949283848738e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1709525074824661 y1[1] (numeric) = 0.1709525074824249 absolute error = 4.118927421359331e-14 relative error = 2.409398658151764e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.399999999999957 y2[1] (analytic) = 0.9854497299884528 y2[1] (numeric) = 0.9854497299884601 absolute error = 7.327471962526033e-15 relative error = 7.435662864925534e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1699671429002837 y1[1] (numeric) = 0.1699671429002424 absolute error = 4.130029651605582e-14 relative error = 2.429898850525826e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.400999999999957 y2[1] (analytic) = 0.9856192043782013 y2[1] (numeric) = 0.9856192043782086 absolute error = 7.327471962526033e-15 relative error = 7.434384324064306e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1689816083509726 y1[1] (numeric) = 0.1689816083509312 absolute error = 4.141131881851834e-14 relative error = 2.450640588797544e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.401999999999956 y2[1] (analytic) = 0.9857876931488275 y2[1] (numeric) = 0.9857876931488349 absolute error = 7.327471962526033e-15 relative error = 7.433113654645496e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1679959048200672 y1[1] (numeric) = 0.1679959048200257 absolute error = 4.155009669659648e-14 relative error = 2.473280330321081e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.402999999999956 y2[1] (analytic) = 0.9859551961318428 y2[1] (numeric) = 0.98595519613185 absolute error = 7.216449660063518e-15 relative error = 7.319247049334002e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.167010033293271 y1[1] (numeric) = 0.1670100332932294 absolute error = 4.1661118999059e-14 relative error = 2.494527914134459e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.403999999999956 y2[1] (analytic) = 0.9861217131597441 y2[1] (numeric) = 0.9861217131597513 absolute error = 7.216449660063518e-15 relative error = 7.318011117451694e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1660239947564555 y1[1] (numeric) = 0.1660239947564137 absolute error = 4.174438572590589e-14 relative error = 2.514358589379909e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.404999999999956 y2[1] (analytic) = 0.9862872440660143 y2[1] (numeric) = 0.9862872440660215 absolute error = 7.216449660063518e-15 relative error = 7.316782918446125e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.165037790195659 y1[1] (numeric) = 0.1650377901956171 absolute error = 4.18554080283684e-14 relative error = 2.536110546484361e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.405999999999956 y2[1] (analytic) = 0.9864517886851227 y2[1] (numeric) = 0.9864517886851299 absolute error = 7.216449660063518e-15 relative error = 7.315562445968682e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1640514205970861 y1[1] (numeric) = 0.1640514205970441 absolute error = 4.196643033083092e-14 relative error = 2.558126603115581e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.406999999999956 y2[1] (analytic) = 0.9866153468525246 y2[1] (numeric) = 0.9866153468525318 absolute error = 7.216449660063518e-15 relative error = 7.314349693713212e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1630648869471062 y1[1] (numeric) = 0.1630648869470641 absolute error = 4.210520820890906e-14 relative error = 2.582113721549805e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.407999999999956 y2[1] (analytic) = 0.9867779184046619 y2[1] (numeric) = 0.9867779184046691 absolute error = 7.216449660063518e-15 relative error = 7.313144655415938e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.162078190232253 y1[1] (numeric) = 0.1620781902322108 absolute error = 4.221623051137158e-14 relative error = 2.604682989788881e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.408999999999956 y2[1] (analytic) = 0.9869395031789631 y2[1] (numeric) = 0.9869395031789702 absolute error = 7.105427357601002e-15 relative error = 7.199455827549914e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1610913314392231 y1[1] (numeric) = 0.1610913314391807 absolute error = 4.232725281383409e-14 relative error = 2.627531378359948e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.409999999999956 y2[1] (analytic) = 0.9871001010138433 y2[1] (numeric) = 0.9871001010138504 absolute error = 7.105427357601002e-15 relative error = 7.198284500531476e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1601043115548751 y1[1] (numeric) = 0.1601043115548327 absolute error = 4.246603069191224e-14 relative error = 2.652397694946346e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.410999999999955 y2[1] (analytic) = 0.9872597117487046 y2[1] (numeric) = 0.9872597117487117 absolute error = 7.105427357601002e-15 relative error = 7.19712075054229e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1591171315662289 y1[1] (numeric) = 0.1591171315661864 absolute error = 4.257705299437475e-14 relative error = 2.675830853364335e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.411999999999955 y2[1] (analytic) = 0.9874183352239366 y2[1] (numeric) = 0.9874183352239436 absolute error = 6.994405055138486e-15 relative error = 7.083527625150109e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1581297924604645 y1[1] (numeric) = 0.1581297924604218 absolute error = 4.268807529683727e-14 relative error = 2.699559307112233e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.412999999999955 y2[1] (analytic) = 0.9875759712809156 y2[1] (numeric) = 0.9875759712809226 absolute error = 6.994405055138486e-15 relative error = 7.08239695834897e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1571422952249207 y1[1] (numeric) = 0.1571422952248779 absolute error = 4.279909759929978e-14 relative error = 2.723588677258445e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.413999999999955 y2[1] (analytic) = 0.9877326197620057 y2[1] (numeric) = 0.9877326197620125 absolute error = 6.883382752675971e-15 relative error = 6.968872562226935e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1561546408470948 y1[1] (numeric) = 0.1561546408470519 absolute error = 4.29101199017623e-14 relative error = 2.74792472826853e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.414999999999955 y2[1] (analytic) = 0.9878882805105582 y2[1] (numeric) = 0.9878882805105651 absolute error = 6.883382752675971e-15 relative error = 6.96777448267583e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1551668303146411 y1[1] (numeric) = 0.1551668303145981 absolute error = 4.302114220422482e-14 relative error = 2.772573372607294e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.415999999999955 y2[1] (analytic) = 0.9880429533709126 y2[1] (numeric) = 0.9880429533709195 absolute error = 6.883382752675971e-15 relative error = 6.966683714702775e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.15417886461537 y1[1] (numeric) = 0.1541788646153268 absolute error = 4.315992008230296e-14 relative error = 2.799340894744167e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.416999999999955 y2[1] (analytic) = 0.988196638188396 y2[1] (numeric) = 0.9881966381884029 absolute error = 6.883382752675971e-15 relative error = 6.965600252693512e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1531907447372471 y1[1] (numeric) = 0.1531907447372039 absolute error = 4.327094238476548e-14 relative error = 2.824644691099572e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.417999999999955 y2[1] (analytic) = 0.9883493348093235 y2[1] (numeric) = 0.9883493348093304 absolute error = 6.883382752675971e-15 relative error = 6.964524091073468e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1522024716683923 y1[1] (numeric) = 0.1522024716683489 absolute error = 4.338196468722799e-14 relative error = 2.850279907526434e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.418999999999955 y2[1] (analytic) = 0.9885010430809986 y2[1] (numeric) = 0.9885010430810055 absolute error = 6.883382752675971e-15 relative error = 6.963455224307679e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1512140463970785 y1[1] (numeric) = 0.151214046397035 absolute error = 4.349298698969051e-14 relative error = 2.87625310121526e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y2[1] (analytic) = 0.988651762851713 y2[1] (numeric) = 0.9886517628517199 absolute error = 6.883382752675971e-15 relative error = 6.962393646900727e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1502254699117309 y1[1] (numeric) = 0.1502254699116873 absolute error = 4.360400929215302e-14 relative error = 2.902571003290838e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.420999999999954 y2[1] (analytic) = 0.9888014939707469 y2[1] (numeric) = 0.9888014939707537 absolute error = 6.772360450213455e-15 relative error = 6.849059686406391e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1492367432009258 y1[1] (numeric) = 0.1492367432008821 absolute error = 4.371503159461554e-14 relative error = 2.929240524617958e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.421999999999954 y2[1] (analytic) = 0.9889502362883692 y2[1] (numeric) = 0.988950236288376 absolute error = 6.772360450213455e-15 relative error = 6.848029558727659e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1482478672533901 y1[1] (numeric) = 0.1482478672533462 absolute error = 4.382605389707805e-14 relative error = 2.956268761841217e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.422999999999954 y2[1] (analytic) = 0.9890979896558376 y2[1] (numeric) = 0.9890979896558444 absolute error = 6.772360450213455e-15 relative error = 6.84700658684984e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1472588430579994 y1[1] (numeric) = 0.1472588430579554 absolute error = 4.393707619954057e-14 relative error = 2.983663003670042e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.423999999999954 y2[1] (analytic) = 0.9892447539253989 y2[1] (numeric) = 0.9892447539254056 absolute error = 6.661338147750939e-15 relative error = 6.73376140870926e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1462696716037779 y1[1] (numeric) = 0.1462696716037339 absolute error = 4.404809850200309e-14 relative error = 3.011430737420579e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.424999999999954 y2[1] (analytic) = 0.9893905289502886 y2[1] (numeric) = 0.9893905289502952 absolute error = 6.661338147750939e-15 relative error = 6.732769268388291e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.145280353879897 y1[1] (numeric) = 0.1452803538798529 absolute error = 4.41591208044656e-14 relative error = 3.03957965582682e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.425999999999954 y2[1] (analytic) = 0.9895353145847319 y2[1] (numeric) = 0.9895353145847384 absolute error = 6.550315845288424e-15 relative error = 6.619587748656881e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1442908908756744 y1[1] (numeric) = 0.1442908908756301 absolute error = 4.427014310692812e-14 relative error = 3.068117664133953e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.426999999999954 y2[1] (analytic) = 0.989679110683943 y2[1] (numeric) = 0.9896791106839495 absolute error = 6.550315845288424e-15 relative error = 6.618625951154673e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1433012835805729 y1[1] (numeric) = 0.1433012835805285 absolute error = 4.438116540939063e-14 relative error = 3.097052887487696e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.427999999999954 y2[1] (analytic) = 0.9898219171041259 y2[1] (numeric) = 0.9898219171041324 absolute error = 6.439293542825908e-15 relative error = 6.505507133712534e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1423115329841997 y1[1] (numeric) = 0.1423115329841552 absolute error = 4.451994328746878e-14 relative error = 3.128344017797324e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.428999999999953 y2[1] (analytic) = 0.9899637337024741 y2[1] (numeric) = 0.9899637337024806 absolute error = 6.439293542825908e-15 relative error = 6.504575191601096e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1413216400763055 y1[1] (numeric) = 0.1413216400762608 absolute error = 4.463096558993129e-14 relative error = 3.158112626334733e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y2[1] (analytic) = 0.9901045603371712 y2[1] (numeric) = 0.9901045603371776 absolute error = 6.439293542825908e-15 relative error = 6.503650019178847e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1403316058467829 y1[1] (numeric) = 0.1403316058467381 absolute error = 4.474198789239381e-14 relative error = 3.188304418125457e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.430999999999953 y2[1] (analytic) = 0.9902443968673905 y2[1] (numeric) = 0.9902443968673968 absolute error = 6.328271240363392e-15 relative error = 6.39061554943678e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1393414312856662 y1[1] (numeric) = 0.1393414312856213 absolute error = 4.485301019485632e-14 relative error = 3.218928482434088e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.431999999999953 y2[1] (analytic) = 0.9903832431532954 y2[1] (numeric) = 0.9903832431533017 absolute error = 6.328271240363392e-15 relative error = 6.389719620270148e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1383511173831298 y1[1] (numeric) = 0.1383511173830848 absolute error = 4.496403249731884e-14 relative error = 3.249994170470043e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.432999999999953 y2[1] (analytic) = 0.9905210990560397 y2[1] (numeric) = 0.990521099056046 absolute error = 6.328271240363392e-15 relative error = 6.388830330211234e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1373606651294875 y1[1] (numeric) = 0.1373606651294424 absolute error = 4.507505479978136e-14 relative error = 3.281511104892356e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.433999999999953 y2[1] (analytic) = 0.9906579644377674 y2[1] (numeric) = 0.9906579644377738 absolute error = 6.328271240363392e-15 relative error = 6.387947674710216e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1363700755151916 y1[1] (numeric) = 0.1363700755151464 absolute error = 4.518607710224387e-14 relative error = 3.313489189731376e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.434999999999953 y2[1] (analytic) = 0.9907938391616133 y2[1] (numeric) = 0.9907938391616197 absolute error = 6.328271240363392e-15 relative error = 6.387071649252712e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1353793495308315 y1[1] (numeric) = 0.1353793495307862 absolute error = 4.532485498032202e-14 relative error = 3.347988828237031e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.435999999999953 y2[1] (analytic) = 0.9909287230917027 y2[1] (numeric) = 0.990928723091709 absolute error = 6.328271240363392e-15 relative error = 6.386202249359726e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1343884881671332 y1[1] (numeric) = 0.1343884881670878 absolute error = 4.543587728278453e-14 relative error = 3.380935220156497e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.436999999999953 y2[1] (analytic) = 0.9910626160931514 y2[1] (numeric) = 0.9910626160931577 absolute error = 6.328271240363392e-15 relative error = 6.385339470587587e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1333974924149579 y1[1] (numeric) = 0.1333974924149123 absolute error = 4.554689958524705e-14 relative error = 3.414374495403923e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.437999999999952 y2[1] (analytic) = 0.9911955180320667 y2[1] (numeric) = 0.991195518032073 absolute error = 6.217248937900877e-15 relative error = 6.272474829430916e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1324063632653013 y1[1] (numeric) = 0.1324063632652556 absolute error = 4.565792188770956e-14 relative error = 3.448317796949475e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.438999999999952 y2[1] (analytic) = 0.9913274287755466 y2[1] (numeric) = 0.9913274287755528 absolute error = 6.217248937900877e-15 relative error = 6.271640184091555e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1314151017092925 y1[1] (numeric) = 0.1314151017092467 absolute error = 4.579669976578771e-14 relative error = 3.484888659683576e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y2[1] (analytic) = 0.9914583481916802 y2[1] (numeric) = 0.9914583481916864 absolute error = 6.217248937900877e-15 relative error = 6.270812030823595e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1304237087381929 y1[1] (numeric) = 0.130423708738147 absolute error = 4.590772206825022e-14 relative error = 3.519890862818775e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.440999999999952 y2[1] (analytic) = 0.9915882761495484 y2[1] (numeric) = 0.9915882761495545 absolute error = 6.106226635438361e-15 relative error = 6.158026251731761e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1294321853433954 y1[1] (numeric) = 0.1294321853433494 absolute error = 4.604649994632837e-14 relative error = 3.557577261340585e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.441999999999952 y2[1] (analytic) = 0.991717212519223 y2[1] (numeric) = 0.9917172125192291 absolute error = 6.106226635438361e-15 relative error = 6.157225626776142e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1284405325164234 y1[1] (numeric) = 0.1284405325163772 absolute error = 4.615752224879088e-14 relative error = 3.593688171830713e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.442999999999952 y2[1] (analytic) = 0.9918451571717677 y2[1] (numeric) = 0.9918451571717738 absolute error = 6.106226635438361e-15 relative error = 6.156431365607691e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1274487512489296 y1[1] (numeric) = 0.1274487512488833 absolute error = 4.62685445512534e-14 relative error = 3.630364683674529e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.443999999999952 y2[1] (analytic) = 0.9919721099792378 y2[1] (numeric) = 0.991972109979244 absolute error = 6.217248937900877e-15 relative error = 6.26756425443353e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1264568425326951 y1[1] (numeric) = 0.1264568425326487 absolute error = 4.637956685371591e-14 relative error = 3.667620187632361e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.444999999999952 y2[1] (analytic) = 0.9920980708146807 y2[1] (numeric) = 0.9920980708146868 absolute error = 6.106226635438361e-15 relative error = 6.154861918463478e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1254648073596287 y1[1] (numeric) = 0.1254648073595822 absolute error = 4.649058915617843e-14 relative error = 3.705468500255945e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.445999999999952 y2[1] (analytic) = 0.9922230395521355 y2[1] (numeric) = 0.9922230395521415 absolute error = 5.995204332975845e-15 relative error = 6.042194238587656e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1244726467217653 y1[1] (numeric) = 0.1244726467217187 absolute error = 4.660161145864095e-14 relative error = 3.743923880947908e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.446999999999951 y2[1] (analytic) = 0.9923470160666333 y2[1] (numeric) = 0.9923470160666393 absolute error = 5.995204332975845e-15 relative error = 6.041439371419729e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1234803616112656 y1[1] (numeric) = 0.1234803616112189 absolute error = 4.671263376110346e-14 relative error = 3.783001049848049e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.447999999999951 y2[1] (analytic) = 0.9924700002341978 y2[1] (numeric) = 0.9924700002342038 absolute error = 5.995204332975845e-15 relative error = 6.040690732778954e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1224879530204146 y1[1] (numeric) = 0.1224879530203678 absolute error = 4.682365606356598e-14 relative error = 3.822715206593587e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.448999999999951 y2[1] (analytic) = 0.9925919919318449 y2[1] (numeric) = 0.9925919919318508 absolute error = 5.88418203051333e-15 relative error = 5.928097424059572e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1214954219416208 y1[1] (numeric) = 0.1214954219415738 absolute error = 4.693467836602849e-14 relative error = 3.863082050003569e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y2[1] (analytic) = 0.9927129910375826 y2[1] (numeric) = 0.9927129910375885 absolute error = 5.88418203051333e-15 relative error = 5.927374864272893e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1205027693674151 y1[1] (numeric) = 0.1205027693673681 absolute error = 4.704570066849101e-14 relative error = 3.904117798741025e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.450999999999951 y2[1] (analytic) = 0.9928329974304121 y2[1] (numeric) = 0.9928329974304179 absolute error = 5.773159728050814e-15 relative error = 5.814834663022425e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1195099962904501 y1[1] (numeric) = 0.119509996290403 absolute error = 4.715672297095352e-14 relative error = 3.945839213009979e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.451999999999951 y2[1] (analytic) = 0.9929520109903268 y2[1] (numeric) = 0.9929520109903326 absolute error = 5.773159728050814e-15 relative error = 5.814137706708421e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1185171037034988 y1[1] (numeric) = 0.1185171037034515 absolute error = 4.726774527341604e-14 relative error = 3.988263617348305e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.452999999999951 y2[1] (analytic) = 0.9930700315983133 y2[1] (numeric) = 0.9930700315983191 absolute error = 5.773159728050814e-15 relative error = 5.813446730195961e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1175240925994537 y1[1] (numeric) = 0.1175240925994063 absolute error = 4.737876757587856e-14 relative error = 4.031408924581546e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.453999999999951 y2[1] (analytic) = 0.993187059136351 y2[1] (numeric) = 0.9931870591363567 absolute error = 5.773159728050814e-15 relative error = 5.812761729971593e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1165309639713257 y1[1] (numeric) = 0.1165309639712782 absolute error = 4.750366766614889e-14 relative error = 4.076484570902365e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.454999999999951 y2[1] (analytic) = 0.9933030934874123 y2[1] (numeric) = 0.993303093487418 absolute error = 5.662137425588298e-15 relative error = 5.700311881350294e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1155377188122435 y1[1] (numeric) = 0.1155377188121959 absolute error = 4.76146899686114e-14 relative error = 4.121138140695718e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45599999999995 y2[1] (analytic) = 0.9934181345354629 y2[1] (numeric) = 0.9934181345354686 absolute error = 5.662137425588298e-15 relative error = 5.699651766711505e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1145443581154521 y1[1] (numeric) = 0.1145443581154044 absolute error = 4.772571227107392e-14 relative error = 4.166570318807843e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45699999999995 y2[1] (analytic) = 0.9935321821654617 y2[1] (numeric) = 0.9935321821654673 absolute error = 5.662137425588298e-15 relative error = 5.698997503278995e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1135508828743122 y1[1] (numeric) = 0.1135508828742643 absolute error = 4.783673457353643e-14 relative error = 4.212801641224245e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45799999999995 y2[1] (analytic) = 0.9936452362633612 y2[1] (numeric) = 0.9936452362633668 absolute error = 5.551115123125783e-15 relative error = 5.586616752676188e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1125572940822988 y1[1] (numeric) = 0.1125572940822509 absolute error = 4.796163466380676e-14 relative error = 4.261086325399625e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45899999999995 y2[1] (analytic) = 0.9937572967161072 y2[1] (numeric) = 0.9937572967161127 absolute error = 5.440092820663267e-15 relative error = 5.474267045525274e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1115635927330007 y1[1] (numeric) = 0.1115635927329527 absolute error = 4.807265696626928e-14 relative error = 4.308991471914949e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y2[1] (analytic) = 0.9938683634116393 y2[1] (numeric) = 0.9938683634116448 absolute error = 5.440092820663267e-15 relative error = 5.473655285685048e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1105697798201192 y1[1] (numeric) = 0.110569779820071 absolute error = 4.819755705653961e-14 relative error = 4.359017186698747e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.46099999999995 y2[1] (analytic) = 0.9939784362388908 y2[1] (numeric) = 0.9939784362388963 absolute error = 5.440092820663267e-15 relative error = 5.473049134997337e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1095758563374671 y1[1] (numeric) = 0.1095758563374188 absolute error = 4.830857935900212e-14 relative error = 4.408688279854587e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.46199999999995 y2[1] (analytic) = 0.9940875150877889 y2[1] (numeric) = 0.9940875150877944 absolute error = 5.440092820663267e-15 relative error = 5.47244859038678e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1085818232789678 y1[1] (numeric) = 0.1085818232789194 absolute error = 4.841960166146464e-14 relative error = 4.459273218968268e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.46299999999995 y2[1] (analytic) = 0.9941955998492548 y2[1] (numeric) = 0.9941955998492602 absolute error = 5.440092820663267e-15 relative error = 5.471853648807259e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1075876816386543 y1[1] (numeric) = 0.1075876816386057 absolute error = 4.854450175173497e-14 relative error = 4.512087351670735e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.46399999999995 y2[1] (analytic) = 0.9943026904152037 y2[1] (numeric) = 0.994302690415209 absolute error = 5.329070518200751e-15 relative error = 5.359605851992036e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.106593432410668 y1[1] (numeric) = 0.1065934324106194 absolute error = 4.865552405419749e-14 relative error = 4.564589295402778e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.464999999999949 y2[1] (analytic) = 0.9944087866785449 y2[1] (numeric) = 0.9944087866785503 absolute error = 5.329070518200751e-15 relative error = 5.3590340206069e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1055990765892583 y1[1] (numeric) = 0.1055990765892095 absolute error = 4.878042414446782e-14 relative error = 4.619398740976286e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.465999999999949 y2[1] (analytic) = 0.9945138885331825 y2[1] (numeric) = 0.9945138885331877 absolute error = 5.218048215738236e-15 relative error = 5.24683292601814e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1046046151687807 y1[1] (numeric) = 0.1046046151687318 absolute error = 4.889144644693033e-14 relative error = 4.673928236153197e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.466999999999949 y2[1] (analytic) = 0.9946179958740143 y2[1] (numeric) = 0.9946179958740194 absolute error = 5.10702591327572e-15 relative error = 5.134660678231499e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1036100491436967 y1[1] (numeric) = 0.1036100491436477 absolute error = 4.900246874939285e-14 relative error = 4.729509266174687e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.467999999999949 y2[1] (analytic) = 0.9947211085969332 y2[1] (numeric) = 0.9947211085969383 absolute error = 5.10702591327572e-15 relative error = 5.134128419652464e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1026153795085722 y1[1] (numeric) = 0.1026153795085231 absolute error = 4.912736883966318e-14 relative error = 4.787524937775939e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.468999999999949 y2[1] (analytic) = 0.9948232265988263 y2[1] (numeric) = 0.9948232265988314 absolute error = 5.10702591327572e-15 relative error = 5.133601404478653e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1016206072580768 y1[1] (numeric) = 0.1016206072580275 absolute error = 4.923839114212569e-14 relative error = 4.84531557827433e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y2[1] (analytic) = 0.9949243497775757 y2[1] (numeric) = 0.9949243497775808 absolute error = 5.10702591327572e-15 relative error = 5.133079630041663e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.1006257333869825 y1[1] (numeric) = 0.1006257333869332 absolute error = 4.934941344458821e-14 relative error = 4.904253791105517e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.470999999999949 y2[1] (analytic) = 0.9950244780320583 y2[1] (numeric) = 0.9950244780320634 absolute error = 5.10702591327572e-15 relative error = 5.132563093700273e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.09963075889016329 y1[1] (numeric) = 0.09963075889011383 absolute error = 4.946043574705072e-14 relative error = 4.964374084671761e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.471999999999949 y2[1] (analytic) = 0.9951236112621458 y2[1] (numeric) = 0.9951236112621509 absolute error = 5.10702591327572e-15 relative error = 5.132051792840411e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.09863568476259345 y1[1] (numeric) = 0.09863568476254388 absolute error = 4.957145804951324e-14 relative error = 5.025712364528815e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.472999999999949 y2[1] (analytic) = 0.995221749368705 y2[1] (numeric) = 0.99522174936871 absolute error = 4.996003610813204e-15 relative error = 5.019990383030013e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.09764051199934706 y1[1] (numeric) = 0.09764051199929738 absolute error = 4.968248035197576e-14 relative error = 5.088306004817753e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.473999999999948 y2[1] (analytic) = 0.9953188922535976 y2[1] (numeric) = 0.9953188922536027 absolute error = 5.10702591327572e-15 relative error = 5.131044887244539e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.09664524159559683 y1[1] (numeric) = 0.09664524159554702 absolute error = 4.980738044224609e-14 relative error = 5.153629875608415e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.474999999999948 y2[1] (analytic) = 0.995415039819681 y2[1] (numeric) = 0.995415039819686 absolute error = 4.996003610813204e-15 relative error = 5.019015597472013e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.09564987454661304 y1[1] (numeric) = 0.09564987454656312 absolute error = 4.99184027447086e-14 relative error = 5.218867560603216e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.475999999999948 y2[1] (analytic) = 0.9955101919708076 y2[1] (numeric) = 0.9955101919708125 absolute error = 4.884981308350689e-15 relative error = 4.907012854062207e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.09465441184776267 y1[1] (numeric) = 0.09465441184771264 absolute error = 5.002942504717112e-14 relative error = 5.285482638425337e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.476999999999948 y2[1] (analytic) = 0.9956043486118251 y2[1] (numeric) = 0.9956043486118299 absolute error = 4.773959005888173e-15 relative error = 4.795036313917795e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.09365885449450836 y1[1] (numeric) = 0.09365885449445821 absolute error = 5.015432513744145e-14 relative error = 5.355000913488881e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.477999999999948 y2[1] (analytic) = 0.995697509648577 y2[1] (numeric) = 0.9956975096485817 absolute error = 4.773959005888173e-15 relative error = 4.794587673090698e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.09266320348240735 y1[1] (numeric) = 0.09266320348235708 absolute error = 5.026534743990396e-14 relative error = 5.424520796914509e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.478999999999948 y2[1] (analytic) = 0.9957896749879022 y2[1] (numeric) = 0.9957896749879068 absolute error = 4.662936703425657e-15 relative error = 4.682652191068669e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.09166745980711058 y1[1] (numeric) = 0.0916674598070602 absolute error = 5.037636974236648e-14 relative error = 5.495556421915688e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y2[1] (analytic) = 0.9958808445376354 y2[1] (numeric) = 0.9958808445376399 absolute error = 4.551914400963142e-15 relative error = 4.570741997830565e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.09067162446436164 y1[1] (numeric) = 0.09067162446431115 absolute error = 5.048739204482899e-14 relative error = 5.568157882146801e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.480999999999948 y2[1] (analytic) = 0.9959710182066069 y2[1] (numeric) = 0.9959710182066115 absolute error = 4.551914400963142e-15 relative error = 4.570328169949701e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.08967569844999579 y1[1] (numeric) = 0.08967569844994519 absolute error = 5.059841434729151e-14 relative error = 5.642377502697208e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.481999999999948 y2[1] (analytic) = 0.9960601959046435 y2[1] (numeric) = 0.9960601959046479 absolute error = 4.440892098500626e-15 relative error = 4.458457547806447e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.08867968275993897 y1[1] (numeric) = 0.08867968275988825 absolute error = 5.072331443756184e-14 relative error = 5.719834900049517e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.482999999999947 y2[1] (analytic) = 0.9961483775425669 y2[1] (numeric) = 0.9961483775425714 absolute error = 4.440892098500626e-15 relative error = 4.45806287358116e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.08768357839020677 y1[1] (numeric) = 0.08768357839015593 absolute error = 5.083433674002436e-14 relative error = 5.797475157070227e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.483999999999947 y2[1] (analytic) = 0.996235563032196 y2[1] (numeric) = 0.9962355630322003 absolute error = 4.329869796038111e-15 relative error = 4.346230908340078e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.0866873863369035 y1[1] (numeric) = 0.08668738633685254 absolute error = 5.095923683029469e-14 relative error = 5.878506549066521e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.484999999999947 y2[1] (analytic) = 0.9963217522863449 y2[1] (numeric) = 0.9963217522863492 absolute error = 4.329869796038111e-15 relative error = 4.345854926987178e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.0856911075962211 y1[1] (numeric) = 0.08569110759617003 absolute error = 5.10702591327572e-14 relative error = 5.959808498847009e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.485999999999947 y2[1] (analytic) = 0.9964069452188247 y2[1] (numeric) = 0.9964069452188289 absolute error = 4.218847493575595e-15 relative error = 4.234060705637773e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.08469474316443826 y1[1] (numeric) = 0.08469474316438708 absolute error = 5.118128143521972e-14 relative error = 6.043029298270519e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.486999999999947 y2[1] (analytic) = 0.9964911417444422 y2[1] (numeric) = 0.9964911417444464 absolute error = 4.218847493575595e-15 relative error = 4.233702957148364e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.08369829403791931 y1[1] (numeric) = 0.08369829403786801 absolute error = 5.130618152549005e-14 relative error = 6.129895730281659e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.487999999999947 y2[1] (analytic) = 0.9965743417790011 y2[1] (numeric) = 0.9965743417790052 absolute error = 4.107825191113079e-15 relative error = 4.12194556783404e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.08270176121311329 y1[1] (numeric) = 0.08270176121306187 absolute error = 5.141720382795256e-14 relative error = 6.217183657728414e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.488999999999947 y2[1] (analytic) = 0.9966565452393011 y2[1] (numeric) = 0.9966565452393052 absolute error = 4.107825191113079e-15 relative error = 4.121605592954566e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.08170514568655296 y1[1] (numeric) = 0.08170514568650142 absolute error = 5.154210391822289e-14 relative error = 6.308305735841274e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.489999999999947 y2[1] (analytic) = 0.9967377520431391 y2[1] (numeric) = 0.9967377520431431 absolute error = 3.996802888650564e-15 relative error = 4.009884124944413e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.08070844845485374 y1[1] (numeric) = 0.08070844845480209 absolute error = 5.165312622068541e-14 relative error = 6.399965209290185e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.490999999999947 y2[1] (analytic) = 0.9968179621093081 y2[1] (numeric) = 0.996817962109312 absolute error = 3.885780586188048e-15 relative error = 3.898184757792261e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.0797116705147128 y1[1] (numeric) = 0.07971167051466103 absolute error = 5.176414852314792e-14 relative error = 6.493923435413832e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.491999999999946 y2[1] (analytic) = 0.9968971753575979 y2[1] (numeric) = 0.9968971753576018 absolute error = 3.885780586188048e-15 relative error = 3.897875008818413e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.07871481286290798 y1[1] (numeric) = 0.0787148128628561 absolute error = 5.187517082561044e-14 relative error = 6.590267948163424e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.492999999999946 y2[1] (analytic) = 0.9969753917087956 y2[1] (numeric) = 0.9969753917087993 absolute error = 3.774758283725532e-15 relative error = 3.786210086144326e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.07771787649629686 y1[1] (numeric) = 0.07771787649624487 absolute error = 5.198619312807296e-14 relative error = 6.689090782163872e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.493999999999946 y2[1] (analytic) = 0.9970526110846846 y2[1] (numeric) = 0.9970526110846883 absolute error = 3.774758283725532e-15 relative error = 3.785916853092643e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.07672086241181572 y1[1] (numeric) = 0.07672086241176362 absolute error = 5.209721543053547e-14 relative error = 6.790488765740466e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.494999999999946 y2[1] (analytic) = 0.9971288334080456 y2[1] (numeric) = 0.9971288334080493 absolute error = 3.663735981263017e-15 relative error = 3.674285466945013e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.07572377160647857 y1[1] (numeric) = 0.07572377160642635 absolute error = 5.22221155208058e-14 relative error = 6.896396522903505e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.495999999999946 y2[1] (analytic) = 0.9972040586026563 y2[1] (numeric) = 0.9972040586026599 absolute error = 3.663735981263017e-15 relative error = 3.674008293144002e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.07472660507737611 y1[1] (numeric) = 0.07472660507732379 absolute error = 5.23192600354605e-14 relative error = 7.001423386126831e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.496999999999946 y2[1] (analytic) = 0.9972782865932914 y2[1] (numeric) = 0.9972782865932951 absolute error = 3.663735981263017e-15 relative error = 3.673734834615081e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.0737293638216748 y1[1] (numeric) = 0.07372936382162237 absolute error = 5.243028233792302e-14 relative error = 7.111180623331199e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.497999999999946 y2[1] (analytic) = 0.9973515173057231 y2[1] (numeric) = 0.9973515173057268 absolute error = 3.663735981263017e-15 relative error = 3.673465089981864e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.07273204883661583 y1[1] (numeric) = 0.07273204883656328 absolute error = 5.254130464038553e-14 relative error = 7.223954980068487e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.498999999999946 y2[1] (analytic) = 0.9974237506667206 y2[1] (numeric) = 0.9974237506667243 absolute error = 3.663735981263017e-15 relative error = 3.6731990578869e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.07173466111951407 y1[1] (numeric) = 0.07173466111946142 absolute error = 5.265232694284805e-14 relative error = 7.339872541549509e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.499999999999946 y2[1] (analytic) = 0.9974949866040506 y2[1] (numeric) = 0.9974949866040542 absolute error = 3.663735981263017e-15 relative error = 3.672936736991655e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.07073720166775717 y1[1] (numeric) = 0.07073720166770441 absolute error = 5.276334924531056e-14 relative error = 7.459066516814264e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.500999999999945 y2[1] (analytic) = 0.997565225046477 y2[1] (numeric) = 0.9975652250464807 absolute error = 3.663735981263017e-15 relative error = 3.672678125976496e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.0697396714788045 y1[1] (numeric) = 0.06973967147875162 absolute error = 5.287437154777308e-14 relative error = 7.581677749061784e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.501999999999945 y2[1] (analytic) = 0.9976344659237616 y2[1] (numeric) = 0.9976344659237653 absolute error = 3.663735981263017e-15 relative error = 3.672423223540671e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.06874207155018616 y1[1] (numeric) = 0.06874207155013318 absolute error = 5.29853938502356e-14 relative error = 7.70785527048786e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.502999999999945 y2[1] (analytic) = 0.9977027091666634 y2[1] (numeric) = 0.997702709166667 absolute error = 3.663735981263017e-15 relative error = 3.6721720284023e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.06774440287950201 y1[1] (numeric) = 0.0677444028794489 absolute error = 5.311029394050593e-14 relative error = 7.839805457430042e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.503999999999945 y2[1] (analytic) = 0.9977699547069392 y2[1] (numeric) = 0.9977699547069427 absolute error = 3.552713678800501e-15 relative error = 3.560654098713555e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.06674666646442061 y1[1] (numeric) = 0.06674666646436739 absolute error = 5.322131624296844e-14 relative error = 7.973629105707943e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.504999999999945 y2[1] (analytic) = 0.9978362024773433 y2[1] (numeric) = 0.9978362024773468 absolute error = 3.552713678800501e-15 relative error = 3.560417701803286e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.06574886330267832 y1[1] (numeric) = 0.06574886330262497 absolute error = 5.334621633323877e-14 relative error = 8.113633248328064e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.505999999999945 y2[1] (analytic) = 0.9979014524116282 y2[1] (numeric) = 0.9979014524116316 absolute error = 3.441691376337985e-15 relative error = 3.448929118221494e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.0647509943920782 y1[1] (numeric) = 0.06475099439202474 absolute error = 5.345723863570129e-14 relative error = 8.255817402897118e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.506999999999945 y2[1] (analytic) = 0.9979657044445438 y2[1] (numeric) = 0.9979657044445472 absolute error = 3.441691376337985e-15 relative error = 3.448707065794e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.06375306073048909 y1[1] (numeric) = 0.0637530607304355 absolute error = 5.358213872597162e-14 relative error = 8.404637849857245e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.507999999999945 y2[1] (analytic) = 0.9980289585118381 y2[1] (numeric) = 0.9980289585118415 absolute error = 3.33066907387547e-15 relative error = 3.337246926022901e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.06275506331584454 y1[1] (numeric) = 0.06275506331579085 absolute error = 5.369316102843413e-14 relative error = 8.555988663129523e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.508999999999945 y2[1] (analytic) = 0.9980912145502572 y2[1] (numeric) = 0.9980912145502604 absolute error = 3.219646771412954e-15 relative error = 3.225804139417995e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.06175700314614192 y1[1] (numeric) = 0.06175700314608812 absolute error = 5.380418333089665e-14 relative error = 8.712240003546529e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y2[1] (analytic) = 0.9981524724975448 y2[1] (numeric) = 0.998152472497548 absolute error = 3.219646771412954e-15 relative error = 3.225606167519536e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.06075888121944131 y1[1] (numeric) = 0.06075888121938738 absolute error = 5.392214452726307e-14 relative error = 8.874775743897231e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.510999999999944 y2[1] (analytic) = 0.998212732292443 y2[1] (numeric) = 0.9982127322924462 absolute error = 3.219646771412954e-15 relative error = 3.225411445132424e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.05976069853386453 y1[1] (numeric) = 0.0597606985338105 absolute error = 5.403316682972559e-14 relative error = 9.041588896272133e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.511999999999944 y2[1] (analytic) = 0.9982719938746922 y2[1] (numeric) = 0.9982719938746953 absolute error = 3.108624468950438e-15 relative error = 3.114005489510554e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.0587624560875942 y1[1] (numeric) = 0.05876245608754006 absolute error = 5.41441891321881e-14 relative error = 9.214078637468474e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.512999999999944 y2[1] (analytic) = 0.9983302571850308 y2[1] (numeric) = 0.9983302571850338 absolute error = 2.997602166487923e-15 relative error = 3.00261576258361e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.05776415487887268 y1[1] (numeric) = 0.05776415487881843 absolute error = 5.425521143465062e-14 relative error = 9.392539637846332e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.513999999999944 y2[1] (analytic) = 0.9983875221651952 y2[1] (numeric) = 0.9983875221651982 absolute error = 2.997602166487923e-15 relative error = 3.002443540146662e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.05676579590600109 y1[1] (numeric) = 0.05676579590594673 absolute error = 5.436623373711313e-14 relative error = 9.577287320543975e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.514999999999944 y2[1] (analytic) = 0.9984437887579208 y2[1] (numeric) = 0.9984437887579237 absolute error = 2.886579864025407e-15 relative error = 2.891078993657075e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.05576738016733834 y1[1] (numeric) = 0.05576738016728385 absolute error = 5.448419493347956e-14 relative error = 9.769903977915335e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.515999999999944 y2[1] (analytic) = 0.9984990569069407 y2[1] (numeric) = 0.9984990569069436 absolute error = 2.886579864025407e-15 relative error = 2.890918968884348e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.05476890866130005 y1[1] (numeric) = 0.05476890866124546 absolute error = 5.459521723594207e-14 relative error = 9.968286491441318e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.516999999999944 y2[1] (analytic) = 0.998553326556987 y2[1] (numeric) = 0.9985533265569899 absolute error = 2.886579864025407e-15 relative error = 2.890761852427389e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.05377038238635767 y1[1] (numeric) = 0.05377038238630297 absolute error = 5.470623953840459e-14 relative error = 1.017404695866257e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.517999999999944 y2[1] (analytic) = 0.99860659765379 y2[1] (numeric) = 0.9986065976537928 absolute error = 2.775557561562891e-15 relative error = 2.779430426440221e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.05277180234103739 y1[1] (numeric) = 0.05277180234098257 absolute error = 5.482420073477101e-14 relative error = 1.038891951813016e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.518999999999944 y2[1] (analytic) = 0.9986588701440785 y2[1] (numeric) = 0.9986588701440813 absolute error = 2.775557561562891e-15 relative error = 2.779284943578838e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.05177316952391917 y1[1] (numeric) = 0.05177316952386423 absolute error = 5.493522303723353e-14 relative error = 1.061075138771512e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y2[1] (analytic) = 0.9987101439755801 y2[1] (numeric) = 0.9987101439755828 absolute error = 2.664535259100376e-15 relative error = 2.667976564745424e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.05077448493363573 y1[1] (numeric) = 0.05077448493358068 absolute error = 5.504624533969604e-14 relative error = 1.08413202835329e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.520999999999943 y2[1] (analytic) = 0.998760419097021 y2[1] (numeric) = 0.9987604190970236 absolute error = 2.664535259100376e-15 relative error = 2.667842265424757e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.04977574956887159 y1[1] (numeric) = 0.04977574956881643 absolute error = 5.516420653606247e-14 relative error = 1.108254662438286e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.521999999999943 y2[1] (analytic) = 0.9988096954581259 y2[1] (numeric) = 0.9988096954581286 absolute error = 2.664535259100376e-15 relative error = 2.667710647200144e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.04877696442836203 y1[1] (numeric) = 0.04877696442830675 absolute error = 5.527522883852498e-14 relative error = 1.133224043076868e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.522999999999943 y2[1] (analytic) = 0.9988579730096186 y2[1] (numeric) = 0.9988579730096213 absolute error = 2.664535259100376e-15 relative error = 2.667581709411571e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.04777813051089211 y1[1] (numeric) = 0.04777813051083672 absolute error = 5.53931900348914e-14 relative error = 1.159383790084948e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.523999999999943 y2[1] (analytic) = 0.9989052517032216 y2[1] (numeric) = 0.9989052517032242 absolute error = 2.55351295663786e-15 relative error = 2.556311474270353e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.04677924881529565 y1[1] (numeric) = 0.04677924881524015 absolute error = 5.550421233735392e-14 relative error = 1.18651354485208e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.524999999999943 y2[1] (analytic) = 0.9989515314916562 y2[1] (numeric) = 0.9989515314916587 absolute error = 2.55351295663786e-15 relative error = 2.556193044546314e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.04578032034045428 y1[1] (numeric) = 0.04578032034039867 absolute error = 5.561523463981644e-14 relative error = 1.214828429032888e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.525999999999943 y2[1] (analytic) = 0.9989968123286425 y2[1] (numeric) = 0.9989968123286449 absolute error = 2.442490654175344e-15 relative error = 2.444943391242606e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.04478134608529639 y1[1] (numeric) = 0.04478134608524066 absolute error = 5.572625694227895e-14 relative error = 1.244407812934775e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.526999999999943 y2[1] (analytic) = 0.9990410941688996 y2[1] (numeric) = 0.9990410941689021 absolute error = 2.442490654175344e-15 relative error = 2.444835020732803e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.04378232704879614 y1[1] (numeric) = 0.0437823270487403 absolute error = 5.583727924474147e-14 relative error = 1.275338315903353e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.527999999999943 y2[1] (analytic) = 0.9990843769681459 y2[1] (numeric) = 0.9990843769681483 absolute error = 2.442490654175344e-15 relative error = 2.444729104450023e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.04278326422997249 y1[1] (numeric) = 0.04278326422991654 absolute error = 5.594830154720398e-14 relative error = 1.307714653245381e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.528999999999942 y2[1] (analytic) = 0.9991266606830985 y2[1] (numeric) = 0.9991266606831009 absolute error = 2.331468351712829e-15 relative error = 2.333506294506058e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.04178415862788817 y1[1] (numeric) = 0.04178415862783211 absolute error = 5.60593238496665e-14 relative error = 1.341640604730296e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y2[1] (analytic) = 0.9991679452714737 y2[1] (numeric) = 0.9991679452714759 absolute error = 2.220446049250313e-15 relative error = 2.222295120413434e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.04078501124164872 y1[1] (numeric) = 0.04078501124159254 absolute error = 5.617728504603292e-14 relative error = 1.377400258962439e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.530999999999942 y2[1] (analytic) = 0.9992082306919868 y2[1] (numeric) = 0.9992082306919889 absolute error = 2.109423746787797e-15 relative error = 2.111095247210831e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.03978582307040141 y1[1] (numeric) = 0.03978582307034512 absolute error = 5.628830734849544e-14 relative error = 1.414783030852289e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.531999999999942 y2[1] (analytic) = 0.9992475169043525 y2[1] (numeric) = 0.9992475169043546 absolute error = 2.109423746787797e-15 relative error = 2.111012247818986e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.03878659511333436 y1[1] (numeric) = 0.03878659511327796 absolute error = 5.639932965095795e-14 relative error = 1.454093340396578e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.532999999999942 y2[1] (analytic) = 0.9992858038692846 y2[1] (numeric) = 0.9992858038692867 absolute error = 2.109423746787797e-15 relative error = 2.110931365801459e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.03778732836967542 y1[1] (numeric) = 0.03778732836961891 absolute error = 5.651035195342047e-14 relative error = 1.495484184554587e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.533999999999942 y2[1] (analytic) = 0.9993230915484961 y2[1] (numeric) = 0.9993230915484981 absolute error = 1.998401444325282e-15 relative error = 1.99975509545033e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.03678802383869126 y1[1] (numeric) = 0.03678802383863464 absolute error = 5.662137425588298e-14 relative error = 1.539125192050471e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.534999999999942 y2[1] (analytic) = 0.9993593799046993 y2[1] (numeric) = 0.9993593799047013 absolute error = 1.998401444325282e-15 relative error = 1.9996824811069e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.03578868251968632 y1[1] (numeric) = 0.03578868251962959 absolute error = 5.67323965583455e-14 relative error = 1.585204946483812e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.535999999999942 y2[1] (analytic) = 0.9993946689016059 y2[1] (numeric) = 0.9993946689016078 absolute error = 1.887379141862766e-15 relative error = 1.888522323154983e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.03478930541200186 y1[1] (numeric) = 0.03478930541194501 absolute error = 5.684341886080801e-14 relative error = 1.633933710018763e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.536999999999942 y2[1] (analytic) = 0.9994289585039269 y2[1] (numeric) = 0.9994289585039287 absolute error = 1.77635683940025e-15 relative error = 1.777371792447688e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.03378989351501487 y1[1] (numeric) = 0.03378989351495792 absolute error = 5.695444116327053e-14 relative error = 1.685546630620847e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.537999999999941 y2[1] (analytic) = 0.9994622486773727 y2[1] (numeric) = 0.9994622486773743 absolute error = 1.665334536937735e-15 relative error = 1.666230554622285e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.03279044782813719 y1[1] (numeric) = 0.03279044782808013 absolute error = 5.706546346573305e-14 relative error = 1.740307536049132e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.538999999999941 y2[1] (analytic) = 0.999494539388653 y2[1] (numeric) = 0.9994945393886546 absolute error = 1.665334536937735e-15 relative error = 1.66617672364308e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.03179096935081441 y1[1] (numeric) = 0.03179096935075724 absolute error = 5.717648576819556e-14 relative error = 1.798513443778676e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y2[1] (analytic) = 0.9995258306054773 y2[1] (numeric) = 0.9995258306054788 absolute error = 1.554312234475219e-15 relative error = 1.555049591398425e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.03079145908252493 y1[1] (numeric) = 0.03079145908246765 absolute error = 5.728750807065808e-14 relative error = 1.860499949584086e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.540999999999941 y2[1] (analytic) = 0.9995561222965542 y2[1] (numeric) = 0.9995561222965558 absolute error = 1.554312234475219e-15 relative error = 1.555002465398413e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.02979191802277894 y1[1] (numeric) = 0.02979191802272154 absolute error = 5.739853037312059e-14 relative error = 1.926647701206535e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.541999999999941 y2[1] (analytic) = 0.9995854144315922 y2[1] (numeric) = 0.9995854144315937 absolute error = 1.443289932012704e-15 relative error = 1.443888547366831e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.0287923471711174 y1[1] (numeric) = 0.02879234717105989 absolute error = 5.750955267558311e-14 relative error = 1.997390220873445e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.542999999999941 y2[1] (analytic) = 0.999613706981299 y2[1] (numeric) = 0.9996137069813005 absolute error = 1.443289932012704e-15 relative error = 1.443847680291668e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.0277927475271111 y1[1] (numeric) = 0.02779274752705348 absolute error = 5.762057497804562e-14 relative error = 2.07322341635487e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.543999999999941 y2[1] (analytic) = 0.9996409999173821 y2[1] (numeric) = 0.9996409999173835 absolute error = 1.443289932012704e-15 relative error = 1.443808259297075e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.02679312009035958 y1[1] (numeric) = 0.02679312009030185 absolute error = 5.773506672746009e-14 relative error = 2.1548467118704e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.544999999999941 y2[1] (analytic) = 0.9996672932125487 y2[1] (numeric) = 0.99966729321255 absolute error = 1.332267629550188e-15 relative error = 1.332711031556098e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.0257934658604902 y1[1] (numeric) = 0.02579346586043236 absolute error = 5.784608902992261e-14 relative error = 2.242664453966608e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.545999999999941 y2[1] (analytic) = 0.9996925868405053 y2[1] (numeric) = 0.9996925868405065 absolute error = 1.221245327087672e-15 relative error = 1.221620869418845e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.02479378583715712 y1[1] (numeric) = 0.02479378583709916 absolute error = 5.795711133238513e-14 relative error = 2.337566022108972e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54699999999994 y2[1] (analytic) = 0.9997168807759583 y2[1] (numeric) = 0.9997168807759595 absolute error = 1.221245327087672e-15 relative error = 1.221591183035509e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.02379408102004026 y1[1] (numeric) = 0.02379408101998219 absolute error = 5.806813363484764e-14 relative error = 2.440444478017054e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54799999999994 y2[1] (analytic) = 0.999740174994614 y2[1] (numeric) = 0.9997401749946151 absolute error = 1.110223024625157e-15 relative error = 1.110511563298072e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = 0.02279435240884436 y1[1] (numeric) = 0.02279435240878619 absolute error = 5.817915593731016e-14 relative error = 2.552349586151711e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54899999999994 y2[1] (analytic) = 0.9997624694731779 y2[1] (numeric) = 0.9997624694731789 absolute error = 9.992007221626409e-16 relative error = 9.994381192256266e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.02179460100329796 y1[1] (numeric) = 0.02179460100323967 absolute error = 5.829017823977267e-14 relative error = 2.674523760767733e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y2[1] (analytic) = 0.9997837641893558 y2[1] (numeric) = 0.9997837641893567 absolute error = 8.881784197001252e-16 relative error = 8.883705172190686e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.02079482780315237 y1[1] (numeric) = 0.02079482780309397 absolute error = 5.840120054223519e-14 relative error = 2.808448384140114e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.55099999999994 y2[1] (analytic) = 0.9998040591218527 y2[1] (numeric) = 0.9998040591218535 absolute error = 8.881784197001252e-16 relative error = 8.883524842659967e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.01979503380818071 y1[1] (numeric) = 0.01979503380812219 absolute error = 5.85122228446977e-14 relative error = 2.955904163220793e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.55199999999994 y2[1] (analytic) = 0.9998233542503737 y2[1] (numeric) = 0.9998233542503746 absolute error = 8.881784197001252e-16 relative error = 8.883353403622431e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.01879522001817688 y1[1] (numeric) = 0.01879522001811826 absolute error = 5.862324514716022e-14 relative error = 3.119050752822558e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.55299999999994 y2[1] (analytic) = 0.9998416495556239 y2[1] (numeric) = 0.9998416495556247 absolute error = 7.771561172376096e-16 relative error = 7.772791997442934e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.01779538743295461 y1[1] (numeric) = 0.01779538743289588 absolute error = 5.873426744962273e-14 relative error = 3.300533223618101e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.55399999999994 y2[1] (analytic) = 0.9998589450193078 y2[1] (numeric) = 0.9998589450193086 absolute error = 7.771561172376096e-16 relative error = 7.772657544435953e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.01679553705234639 y1[1] (numeric) = 0.01679553705228755 absolute error = 5.884528975208525e-14 relative error = 3.503626562740033e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.55499999999994 y2[1] (analytic) = 0.9998752406241301 y2[1] (numeric) = 0.9998752406241308 absolute error = 6.661338147750939e-16 relative error = 6.662169315836722e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.01579566987620252 y1[1] (numeric) = 0.01579566987614356 absolute error = 5.895978150149972e-14 relative error = 3.732654706232339e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.555999999999939 y2[1] (analytic) = 0.999890536353795 y2[1] (numeric) = 0.9998905363537957 absolute error = 6.661338147750939e-16 relative error = 6.662067401940019e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.01479578690439008 y1[1] (numeric) = 0.01479578690433101 absolute error = 5.906906908048626e-14 relative error = 3.992289795885055e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.556999999999939 y2[1] (analytic) = 0.999904832193007 y2[1] (numeric) = 0.9999048321930075 absolute error = 5.551115123125783e-16 relative error = 5.55164346085916e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.01379588913679198 y1[1] (numeric) = 0.0137958891367328 absolute error = 5.918009138294877e-14 relative error = 4.289690269047074e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.557999999999939 y2[1] (analytic) = 0.9999181281274699 y2[1] (numeric) = 0.9999181281274705 absolute error = 5.551115123125783e-16 relative error = 5.551569640527734e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.01279597757330588 y1[1] (numeric) = 0.01279597757324659 absolute error = 5.928937896193531e-14 relative error = 4.633438799206782e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.558999999999939 y2[1] (analytic) = 0.9999304241438882 y2[1] (numeric) = 0.9999304241438887 absolute error = 4.440892098500626e-16 relative error = 4.441201098869244e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.01179605321384328 y1[1] (numeric) = 0.01179605321378388 absolute error = 5.940040126439783e-14 relative error = 5.035616590359932e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y2[1] (analytic) = 0.9999417202299656 y2[1] (numeric) = 0.9999417202299661 absolute error = 4.440892098500626e-16 relative error = 4.441150927755383e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.01079611705832845 y1[1] (numeric) = 0.01079611705826894 absolute error = 5.950968884338437e-14 relative error = 5.512138162440245e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.560999999999939 y2[1] (analytic) = 0.9999520163744061 y2[1] (numeric) = 0.9999520163744066 absolute error = 4.440892098500626e-16 relative error = 4.44110519882971e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.009796170106697462 y1[1] (numeric) = 0.009796170106637841 absolute error = 5.962071114584688e-14 relative error = 6.086124525857845e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.561999999999939 y2[1] (analytic) = 0.9999613125669137 y2[1] (numeric) = 0.999961312566914 absolute error = 3.33066907387547e-16 relative error = 3.330797933897661e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.008796213358897182 y1[1] (numeric) = 0.00879621335883745 absolute error = 5.97317334483094e-14 relative error = 6.790618986963524e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.562999999999939 y2[1] (analytic) = 0.9999696087981919 y2[1] (numeric) = 0.9999696087981922 absolute error = 3.33066907387547e-16 relative error = 3.330770299987833e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.007796247814884276 y1[1] (numeric) = 0.007796247814824434 absolute error = 5.984188838903393e-14 relative error = 7.675729377763782e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.563999999999939 y2[1] (analytic) = 0.9999769050599446 y2[1] (numeric) = 0.9999769050599449 absolute error = 2.220446049250313e-16 relative error = 2.220497331503077e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.006796274474624204 y1[1] (numeric) = 0.006796274474564252 absolute error = 5.995204332975845e-14 relative error = 8.82130990347818e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.564999999999938 y2[1] (analytic) = 0.9999832013448757 y2[1] (numeric) = 0.9999832013448758 absolute error = 1.110223024625157e-16 relative error = 1.110241675192163e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.005796294338090225 y1[1] (numeric) = 0.005796294338030162 absolute error = 6.006219827048298e-14 relative error = 1.036217189244265e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.565999999999938 y2[1] (analytic) = 0.9999884976466887 y2[1] (numeric) = 0.9999884976466888 absolute error = 1.110223024625157e-16 relative error = 1.110235794949529e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.00479630840526239 y1[1] (numeric) = 0.004796308405202217 absolute error = 6.017235321120751e-14 relative error = 1.254555548287677e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.566999999999938 y2[1] (analytic) = 0.9999927939600874 y2[1] (numeric) = 0.9999927939600876 absolute error = 1.110223024625157e-16 relative error = 1.110231024994235e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.00379631767612655 y1[1] (numeric) = 0.003796317676066267 absolute error = 6.028294183280103e-14 relative error = 1.587931963963268e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.567999999999938 y2[1] (analytic) = 0.9999960902807755 y2[1] (numeric) = 0.9999960902807756 absolute error = 1.110223024625157e-16 relative error = 1.11022736530243e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.00279632315067335 y1[1] (numeric) = 0.002796323150612957 absolute error = 6.039309677352556e-14 relative error = 2.159732388546831e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.568999999999938 y2[1] (analytic) = 0.9999983866054567 y2[1] (numeric) = 0.9999983866054567 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y1[1] (analytic) = 0.001796325828897232 y1[1] (numeric) = 0.001796325828836729 absolute error = 6.050325171425008e-14 relative error = 3.36816688492383e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.569999999999938 y2[1] (analytic) = 0.9999996829318346 y2[1] (numeric) = 0.9999996829318345 absolute error = 1.110223024625157e-16 relative error = 1.110223376641646e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = 0.0007963267107954358 y1[1] (numeric) = 0.0007963267107348223 absolute error = 6.061351507519186e-14 relative error = 7.611639073948198e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.570999999999938 y2[1] (analytic) = 0.9999999792586128 y2[1] (numeric) = 0.9999999792586127 absolute error = 1.110223024625157e-16 relative error = 1.110223047652723e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = -0.0002036732036330054 y1[1] (numeric) = -0.0002036732036937289 absolute error = 6.072350738559051e-14 relative error = 2.981418581454974e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.571999999999938 y2[1] (analytic) = 0.9999992755854952 y2[1] (numeric) = 0.9999992755854951 absolute error = 1.110223024625157e-16 relative error = 1.110223828887402e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = -0.00120367291438826 y1[1] (numeric) = -0.001203672914449093 absolute error = 6.083349969598917e-14 relative error = 5.053989249804334e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.572999999999938 y2[1] (analytic) = 0.9999975719131853 y2[1] (numeric) = 0.9999975719131851 absolute error = 2.220446049250313e-16 relative error = 2.220451440699179e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = -0.0022036714214707 y1[1] (numeric) = -0.002203671421531644 absolute error = 6.09434377962792e-14 relative error = 2.765541051288235e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.573999999999937 y2[1] (analytic) = 0.9999948682433868 y2[1] (numeric) = 0.9999948682433865 absolute error = 3.33066907387547e-16 relative error = 3.330686166146229e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = -0.003203667724881903 y1[1] (numeric) = -0.003203667724942956 absolute error = 6.105315905613473e-14 relative error = 1.905726944837431e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.574999999999937 y2[1] (analytic) = 0.9999911645788034 y2[1] (numeric) = 0.999991164578803 absolute error = 4.440892098500626e-16 relative error = 4.440931335999484e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = -0.004203660824625648 y1[1] (numeric) = -0.004203660824686811 absolute error = 6.116288031599026e-14 relative error = 1.454990848873661e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.575999999999937 y2[1] (analytic) = 0.9999864609231388 y2[1] (numeric) = 0.9999864609231383 absolute error = 5.551115123125783e-16 relative error = 5.55119028111767e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = -0.005203649720708918 y1[1] (numeric) = -0.005203649720770191 absolute error = 6.127303525671479e-14 relative error = 1.177501149104388e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.576999999999937 y2[1] (analytic) = 0.9999807572810966 y2[1] (numeric) = 0.9999807572810959 absolute error = 6.661338147750939e-16 relative error = 6.66146633247506e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = -0.006203633413142901 y1[1] (numeric) = -0.006203633413204284 absolute error = 6.138319019743932e-14 relative error = 9.89471590429474e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.577999999999937 y2[1] (analytic) = 0.9999740536583803 y2[1] (numeric) = 0.9999740536583797 absolute error = 6.661338147750939e-16 relative error = 6.661510989590778e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = -0.007203610901943988 y1[1] (numeric) = -0.007203610902005481 absolute error = 6.149247777642586e-14 relative error = 8.536340817607363e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.578999999999937 y2[1] (analytic) = 0.9999663500616939 y2[1] (numeric) = 0.9999663500616931 absolute error = 7.771561172376096e-16 relative error = 7.771822693730265e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = -0.008203581187134774 y1[1] (numeric) = -0.008203581187196376 absolute error = 6.16017653554124e-14 relative error = 7.509130945399682e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.579999999999937 y2[1] (analytic) = 0.9999576464987406 y2[1] (numeric) = 0.9999576464987397 absolute error = 8.881784197001252e-16 relative error = 8.882160387592414e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = -0.009203543268745056 y1[1] (numeric) = -0.009203543268806767 absolute error = 6.171105293439894e-14 relative error = 6.70514074117169e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.580999999999937 y2[1] (analytic) = 0.9999479429782242 y2[1] (numeric) = 0.9999479429782233 absolute error = 8.881784197001252e-16 relative error = 8.882246580304902e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = -0.01020349614681284 y1[1] (numeric) = -0.01020349614687466 absolute error = 6.182034051338547e-14 relative error = 6.058741006404523e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.581999999999937 y2[1] (analytic) = 0.9999372395098481 y2[1] (numeric) = 0.9999372395098471 absolute error = 9.992007221626409e-16 relative error = 9.992634364257018e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = -0.01120343882138532 y1[1] (numeric) = -0.01120343882144725 absolute error = 6.192789336889604e-14 relative error = 5.527579018924707e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.582999999999936 y2[1] (analytic) = 0.9999255361043159 y2[1] (numeric) = 0.9999255361043149 absolute error = 9.992007221626409e-16 relative error = 9.99275132081836e-14 % Correct digits = 15 h = 0.001 y1[1] (analytic) = -0.01220337029251992 y1[1] (numeric) = -0.01220337029258195 absolute error = 6.203718094788258e-14 relative error = 5.083610466684634e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.583999999999936 y2[1] (analytic) = 0.999912832773331 y2[1] (numeric) = 0.9999128327733298 absolute error = 1.221245327087672e-15 relative error = 1.221351788935901e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.01320328956028524 y1[1] (numeric) = -0.01320328956034738 absolute error = 6.214646852686911e-14 relative error = 4.706892796913448e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.584999999999936 y2[1] (analytic) = 0.9998991295295965 y2[1] (numeric) = 0.9998991295295953 absolute error = 1.221245327087672e-15 relative error = 1.221368527105537e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.0142031956247621 y1[1] (numeric) = -0.01420319562482435 absolute error = 6.225575610585565e-14 relative error = 4.383221758722938e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.585999999999936 y2[1] (analytic) = 0.9998844263868158 y2[1] (numeric) = 0.9998844263868145 absolute error = 1.332267629550188e-15 relative error = 1.332421622331365e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.01520308748604452 y1[1] (numeric) = -0.01520308748610688 absolute error = 6.236504368484219e-14 relative error = 4.102130158896303e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.586999999999936 y2[1] (analytic) = 0.9998687233596921 y2[1] (numeric) = 0.9998687233596907 absolute error = 1.443289932012704e-15 relative error = 1.443479427142252e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.01620296414424072 y1[1] (numeric) = -0.01620296414430319 absolute error = 6.247433126382873e-14 relative error = 3.855734710493388e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.587999999999936 y2[1] (analytic) = 0.9998520204639283 y2[1] (numeric) = 0.9998520204639268 absolute error = 1.443289932012704e-15 relative error = 1.443503540997018e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.01720282459947412 y1[1] (numeric) = -0.01720282459953671 absolute error = 6.258535356629125e-14 relative error = 3.638085897138336e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.588999999999936 y2[1] (analytic) = 0.9998343177162274 y2[1] (numeric) = 0.9998343177162259 absolute error = 1.554312234475219e-15 relative error = 1.554569799149826e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.01820266785188436 y1[1] (numeric) = -0.01820266785194706 absolute error = 6.269637586875376e-14 relative error = 3.44435092585966e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.589999999999936 y2[1] (analytic) = 0.9998156151342921 y2[1] (numeric) = 0.9998156151342905 absolute error = 1.554312234475219e-15 relative error = 1.55459887898075e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.01920249290162827 y1[1] (numeric) = -0.01920249290169107 absolute error = 6.280392872426432e-14 relative error = 3.270613302449855e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.590999999999936 y2[1] (analytic) = 0.999795912736825 y2[1] (numeric) = 0.9997959127368233 absolute error = 1.665334536937735e-15 relative error = 1.665674479883675e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.02020229874888087 y1[1] (numeric) = -0.02020229874894378 absolute error = 6.291148157977489e-14 relative error = 3.114075401110477e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.591999999999935 y2[1] (analytic) = 0.9997752105435285 y2[1] (numeric) = 0.9997752105435267 absolute error = 1.77635683940025e-15 relative error = 1.776756235468704e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.02120208439383641 y1[1] (numeric) = -0.02120208439389943 absolute error = 6.30225038822374e-14 relative error = 2.972467362716398e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.592999999999935 y2[1] (analytic) = 0.9997535085751047 y2[1] (numeric) = 0.9997535085751028 absolute error = 1.887379141862766e-15 relative error = 1.887844479338459e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.02220184883670932 y1[1] (numeric) = -0.02220184883677245 absolute error = 6.313005673774796e-14 relative error = 2.843459443493125e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.593999999999935 y2[1] (analytic) = 0.9997308068532557 y2[1] (numeric) = 0.9997308068532537 absolute error = 1.998401444325282e-15 relative error = 1.998939545151593e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.02320159107773525 y1[1] (numeric) = -0.02320159107779848 absolute error = 6.323760959325853e-14 relative error = 2.725572111903253e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.594999999999935 y2[1] (analytic) = 0.9997071054006831 y2[1] (numeric) = 0.999707105400681 absolute error = 2.109423746787797e-15 relative error = 2.110041766625575e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.02420131011717203 y1[1] (numeric) = -0.02420131011723537 absolute error = 6.334516244876909e-14 relative error = 2.617426996393165e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.595999999999935 y2[1] (analytic) = 0.9996824042410885 y2[1] (numeric) = 0.9996824042410862 absolute error = 2.220446049250313e-15 relative error = 2.22115147753948e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.02520100495530071 y1[1] (numeric) = -0.02520100495536416 absolute error = 6.345271530427965e-14 relative error = 2.517864482659577e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.596999999999935 y2[1] (analytic) = 0.9996567033991728 y2[1] (numeric) = 0.9996567033991706 absolute error = 2.220446049250313e-15 relative error = 2.22120858260645e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.02620067459242653 y1[1] (numeric) = -0.02620067459249009 absolute error = 6.356026815979021e-14 relative error = 2.425901971934826e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.597999999999935 y2[1] (analytic) = 0.9996300029006371 y2[1] (numeric) = 0.9996300029006348 absolute error = 2.331468351712829e-15 relative error = 2.332331307531369e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.02720031802887995 y1[1] (numeric) = -0.02720031802894362 absolute error = 6.366782101530077e-14 relative error = 2.340701345760054e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.598999999999935 y2[1] (analytic) = 0.9996023027721819 y2[1] (numeric) = 0.9996023027721794 absolute error = 2.442490654175344e-15 relative error = 2.443462412403035e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.0281999342650176 y1[1] (numeric) = -0.02819993426508138 absolute error = 6.377537387081134e-14 relative error = 2.261543352245524e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.599999999999935 y2[1] (analytic) = 0.9995736030415071 y2[1] (numeric) = 0.9995736030415046 absolute error = 2.55351295663786e-15 relative error = 2.554602231259428e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.02919952230122334 y1[1] (numeric) = -0.02919952230128722 absolute error = 6.38829267263219e-14 relative error = 2.187807254766132e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.600999999999934 y2[1] (analytic) = 0.9995439037373126 y2[1] (numeric) = 0.9995439037373099 absolute error = 2.664535259100376e-15 relative error = 2.665751098213526e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.03019908113790921 y1[1] (numeric) = -0.0301990811379732 absolute error = 6.399047958183246e-14 relative error = 2.118954523470735e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.601999999999934 y2[1] (analytic) = 0.9995132048892976 y2[1] (numeric) = 0.999513204889295 absolute error = 2.664535259100376e-15 relative error = 2.665832973557853e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.03119860977551646 y1[1] (numeric) = -0.03119860977558056 absolute error = 6.409803243734302e-14 relative error = 2.054515662670483e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.602999999999934 y2[1] (analytic) = 0.999481506528161 y2[1] (numeric) = 0.9994815065281584 absolute error = 2.664535259100376e-15 relative error = 2.665917519930921e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.03219810721451653 y1[1] (numeric) = -0.03219810721458074 absolute error = 6.420558529285358e-14 relative error = 1.994079492471112e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.603999999999934 y2[1] (analytic) = 0.9994488086856013 y2[1] (numeric) = 0.9994488086855985 absolute error = 2.775557561562891e-15 relative error = 2.777088268495805e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.03319757245541208 y1[1] (numeric) = -0.03319757245547639 absolute error = 6.430966870141219e-14 relative error = 1.937179858189541e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.604999999999934 y2[1] (analytic) = 0.9994151113943162 y2[1] (numeric) = 0.9994151113943133 absolute error = 2.886579864025407e-15 relative error = 2.888269179758796e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.03419700449873793 y1[1] (numeric) = -0.03419700449880235 absolute error = 6.442069100387471e-14 relative error = 1.883810934558675e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.605999999999934 y2[1] (analytic) = 0.9993804146880029 y2[1] (numeric) = 0.9993804146879999 absolute error = 2.997602166487923e-15 relative error = 2.999460588212293e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.03519640234506213 y1[1] (numeric) = -0.03519640234512666 absolute error = 6.453171330633722e-14 relative error = 1.833474702149229e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.606999999999934 y2[1] (analytic) = 0.9993447186013581 y2[1] (numeric) = 0.9993447186013551 absolute error = 2.997602166487923e-15 relative error = 2.99956772742367e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.03619576499498692 y1[1] (numeric) = -0.03619576499505157 absolute error = 6.464273560879974e-14 relative error = 1.785919861557082e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.607999999999934 y2[1] (analytic) = 0.9993080231700782 y2[1] (numeric) = 0.9993080231700751 absolute error = 3.108624468950438e-15 relative error = 3.110777054595271e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.03719509144914974 y1[1] (numeric) = -0.03719509144921449 absolute error = 6.474681901735835e-14 relative error = 1.740735578130657e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.608999999999934 y2[1] (analytic) = 0.9992703284308582 y2[1] (numeric) = 0.9992703284308551 absolute error = 3.108624468950438e-15 relative error = 3.110894400148829e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.03819438070822421 y1[1] (numeric) = -0.03819438070828907 absolute error = 6.485784131982086e-14 relative error = 1.698099042769801e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.609999999999933 y2[1] (analytic) = 0.9992316344213932 y2[1] (numeric) = 0.99923163442139 absolute error = 3.219646771412954e-15 relative error = 3.22212253946233e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.03919363177292114 y1[1] (numeric) = -0.03919363177298611 absolute error = 6.496886362228338e-14 relative error = 1.657638261202687e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.610999999999933 y2[1] (analytic) = 0.9991919411803769 y2[1] (numeric) = 0.9991919411803737 absolute error = 3.219646771412954e-15 relative error = 3.222250539380336e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.04019284364398958 y1[1] (numeric) = -0.04019284364405465 absolute error = 6.507294703084199e-14 relative error = 1.619018241337422e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.611999999999933 y2[1] (analytic) = 0.9991512487475028 y2[1] (numeric) = 0.9991512487474995 absolute error = 3.33066907387547e-15 relative error = 3.33349838480477e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.04119201532221772 y1[1] (numeric) = -0.04119201532228289 absolute error = 6.51770304394006e-14 relative error = 1.582273407347615e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.612999999999933 y2[1] (analytic) = 0.9991095571634632 y2[1] (numeric) = 0.9991095571634598 absolute error = 3.33066907387547e-15 relative error = 3.333637487495821e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.04219114580843396 y1[1] (numeric) = -0.04219114580849925 absolute error = 6.52811138479592e-14 relative error = 1.54727046628133e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.613999999999933 y2[1] (analytic) = 0.9990668664699497 y2[1] (numeric) = 0.9990668664699462 absolute error = 3.441691376337985e-15 relative error = 3.444905933572471e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.04319023410350792 y1[1] (numeric) = -0.04319023410357331 absolute error = 6.539213615042172e-14 relative error = 1.5140491249412e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.614999999999933 y2[1] (analytic) = 0.9990231767096529 y2[1] (numeric) = 0.9990231767096495 absolute error = 3.441691376337985e-15 relative error = 3.445056587849561e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.04418927920835137 y1[1] (numeric) = -0.04418927920841687 absolute error = 6.549621955898033e-14 relative error = 1.482174426293927e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.615999999999933 y2[1] (analytic) = 0.9989784879262628 y2[1] (numeric) = 0.9989784879262592 absolute error = 3.552713678800501e-15 relative error = 3.556346529719002e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.0451882801239193 y1[1] (numeric) = -0.0451882801239849 absolute error = 6.560030296753894e-14 relative error = 1.451710549453176e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.616999999999933 y2[1] (analytic) = 0.9989328001644678 y2[1] (numeric) = 0.9989328001644643 absolute error = 3.552713678800501e-15 relative error = 3.556509184817607e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.04618723585121087 y1[1] (numeric) = -0.04618723585127657 absolute error = 6.570438637609755e-14 relative error = 1.422565892181985e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.617999999999933 y2[1] (analytic) = 0.998886113469956 y2[1] (numeric) = 0.9988861134699524 absolute error = 3.663735981263017e-15 relative error = 3.667821518246797e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.04718614539127042 y1[1] (numeric) = -0.04718614539133624 absolute error = 6.581540867856006e-14 relative error = 1.394803668170278e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.618999999999932 y2[1] (analytic) = 0.998838427889414 y2[1] (numeric) = 0.9988384278894102 absolute error = 3.774758283725532e-15 relative error = 3.779148036686723e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.04818500774518853 y1[1] (numeric) = -0.04818500774525445 absolute error = 6.591949208711867e-14 relative error = 1.368049838981317e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.619999999999932 y2[1] (analytic) = 0.9987897434705273 y2[1] (numeric) = 0.9987897434705235 absolute error = 3.774758283725532e-15 relative error = 3.779332245252396e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.04918382191410291 y1[1] (numeric) = -0.04918382191416893 absolute error = 6.602357549567728e-14 relative error = 1.342383997953314e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.620999999999932 y2[1] (analytic) = 0.9987400602619805 y2[1] (numeric) = 0.9987400602619765 absolute error = 3.996802888650564e-15 relative error = 4.001844972156377e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.05018258689919947 y1[1] (numeric) = -0.0501825868992656 absolute error = 6.612765890423589e-14 relative error = 1.317741132737236e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.621999999999932 y2[1] (analytic) = 0.9986893783134565 y2[1] (numeric) = 0.9986893783134525 absolute error = 3.996802888650564e-15 relative error = 4.002048059628102e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.05118130170171331 y1[1] (numeric) = -0.05118130170177955 absolute error = 6.62386812066984e-14 relative error = 1.294196884493875e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.622999999999932 y2[1] (analytic) = 0.9986376976756375 y2[1] (numeric) = 0.9986376976756334 absolute error = 4.107825191113079e-15 relative error = 4.113428924898569e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.05217996532292972 y1[1] (numeric) = -0.05217996532299606 absolute error = 6.634276461525701e-14 relative error = 1.271422167582462e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.623999999999932 y2[1] (analytic) = 0.998585018400204 y2[1] (numeric) = 0.9985850184001998 absolute error = 4.218847493575595e-15 relative error = 4.224825543982678e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.05317857676418515 y1[1] (numeric) = -0.0531785767642516 absolute error = 6.644684802381562e-14 relative error = 1.249504068498622e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.624999999999932 y2[1] (analytic) = 0.9985313405398353 y2[1] (numeric) = 0.9985313405398309 absolute error = 4.329869796038111e-15 relative error = 4.336238253370451e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.05417713502686825 y1[1] (numeric) = -0.0541771350269348 absolute error = 6.655093143237423e-14 relative error = 1.2283951781387e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.625999999999932 y2[1] (analytic) = 0.9984766641482092 y2[1] (numeric) = 0.9984766641482049 absolute error = 4.329869796038111e-15 relative error = 4.33647570494988e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.05517563911242084 y1[1] (numeric) = -0.0551756391124875 absolute error = 6.665501484093284e-14 relative error = 1.208051522613497e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.626999999999932 y2[1] (analytic) = 0.9984209892800023 y2[1] (numeric) = 0.9984209892799979 absolute error = 4.440892098500626e-15 relative error = 4.447915404606142e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.05617408802233891 y1[1] (numeric) = -0.05617408802240568 absolute error = 6.676603714339535e-14 relative error = 1.188555782460488e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.627999999999932 y2[1] (analytic) = 0.9983643159908893 y2[1] (numeric) = 0.9983643159908848 absolute error = 4.440892098500626e-15 relative error = 4.448167895597294e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.05717248075817365 y1[1] (numeric) = -0.05717248075824052 absolute error = 6.687012055195396e-14 relative error = 1.169620762737218e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.628999999999931 y2[1] (analytic) = 0.9983066443375435 y2[1] (numeric) = 0.9983066443375389 absolute error = 4.551914400963142e-15 relative error = 4.559635485531304e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.05817081632153238 y1[1] (numeric) = -0.05817081632159936 absolute error = 6.697420396051257e-14 relative error = 1.151336842005457e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.629999999999931 y2[1] (analytic) = 0.9982479743776366 y2[1] (numeric) = 0.9982479743776319 absolute error = 4.662936703425657e-15 relative error = 4.671120626448346e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.05916909371407965 y1[1] (numeric) = -0.05916909371414673 absolute error = 6.707828736907118e-14 relative error = 1.133671029223648e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.630999999999931 y2[1] (analytic) = 0.9981883061698383 y2[1] (numeric) = 0.9981883061698337 absolute error = 4.662936703425657e-15 relative error = 4.671399849711598e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.06016731193753813 y1[1] (numeric) = -0.06016731193760531 absolute error = 6.718237077762979e-14 relative error = 1.116592525312985e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.631999999999931 y2[1] (analytic) = 0.9981276397738172 y2[1] (numeric) = 0.9981276397738125 absolute error = 4.773959005888173e-15 relative error = 4.782914344472002e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.06116546999368969 y1[1] (numeric) = -0.06116546999375698 absolute error = 6.72933930800923e-14 relative error = 1.100185988712828e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.632999999999931 y2[1] (analytic) = 0.9980659752502395 y2[1] (numeric) = 0.9980659752502347 absolute error = 4.884981308350689e-15 relative error = 4.894447290547005e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.06216356688437635 y1[1] (numeric) = -0.06216356688444374 absolute error = 6.739747648865091e-14 relative error = 1.084195773611408e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.633999999999931 y2[1] (analytic) = 0.9980033126607697 y2[1] (numeric) = 0.9980033126607648 absolute error = 4.884981308350689e-15 relative error = 4.894754602894929e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.06316160161150131 y1[1] (numeric) = -0.06316160161156881 absolute error = 6.750155989720952e-14 relative error = 1.068711973334728e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.634999999999931 y2[1] (analytic) = 0.9979396520680703 y2[1] (numeric) = 0.9979396520680655 absolute error = 4.884981308350689e-15 relative error = 4.895066849210116e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.06415957317702992 y1[1] (numeric) = -0.06415957317709751 absolute error = 6.759870441186422e-14 relative error = 1.05360277608682e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.635999999999931 y2[1] (analytic) = 0.9978749935358021 y2[1] (numeric) = 0.9978749935357971 absolute error = 4.996003610813204e-15 relative error = 5.006642759040094e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.06515748058299069 y1[1] (numeric) = -0.0651574805830584 absolute error = 6.770972671432673e-14 relative error = 1.039170423848498e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.636999999999931 y2[1] (analytic) = 0.9978093371286235 y2[1] (numeric) = 0.9978093371286184 absolute error = 5.10702591327572e-15 relative error = 5.118238247771973e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.06615532283147632 y1[1] (numeric) = -0.06615532283154413 absolute error = 6.780687122898144e-14 relative error = 1.024964709214892e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.63799999999993 y2[1] (analytic) = 0.997742682912191 y2[1] (numeric) = 0.9977426829121857 absolute error = 5.329070518200751e-15 relative error = 5.341127135752445e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.06715309892464462 y1[1] (numeric) = -0.06715309892471254 absolute error = 6.791789353144395e-14 relative error = 1.011388820755056e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.63899999999993 y2[1] (analytic) = 0.9976750309531587 y2[1] (numeric) = 0.9976750309531532 absolute error = 5.440092820663267e-15 relative error = 5.452770342930114e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.0681508078647196 y1[1] (numeric) = -0.06815080786478762 absolute error = 6.802891583390647e-14 relative error = 9.982114367440063e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.63999999999993 y2[1] (analytic) = 0.9976063813191784 y2[1] (numeric) = 0.997606381319173 absolute error = 5.440092820663267e-15 relative error = 5.453145571773103e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.06914844865399239 y1[1] (numeric) = -0.06914844865406052 absolute error = 6.812606034856117e-14 relative error = 9.852145879577562e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64099999999993 y2[1] (analytic) = 0.9975367340789002 y2[1] (numeric) = 0.9975367340788945 absolute error = 5.662137425588298e-15 relative error = 5.676119216618695e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.07014602029482229 y1[1] (numeric) = -0.07014602029489052 absolute error = 6.822320486321587e-14 relative error = 9.725883888562049e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64199999999993 y2[1] (analytic) = 0.9974660893019709 y2[1] (numeric) = 0.9974660893019651 absolute error = 5.773159728050814e-15 relative error = 5.78782556115856e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.07114352178963775 y1[1] (numeric) = -0.07114352178970608 absolute error = 6.833422716567839e-14 relative error = 9.605122918673314e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64299999999993 y2[1] (analytic) = 0.9973944470590355 y2[1] (numeric) = 0.9973944470590296 absolute error = 5.88418203051333e-15 relative error = 5.899553629823896e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.07214095214093734 y1[1] (numeric) = -0.07214095214100577 absolute error = 6.843137168033309e-14 relative error = 9.485787149945419e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64399999999993 y2[1] (analytic) = 0.997321807421736 y2[1] (numeric) = 0.99732180742173 absolute error = 5.995204332975845e-15 relative error = 6.011303762097184e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.0731383103512908 y1[1] (numeric) = -0.07313831035135934 absolute error = 6.85423939827956e-14 relative error = 9.371612996469219e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64499999999993 y2[1] (analytic) = 0.9972481704627123 y2[1] (numeric) = 0.9972481704627062 absolute error = 6.106226635438361e-15 relative error = 6.123076297653309e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.07413559542334 y1[1] (numeric) = -0.07413559542340865 absolute error = 6.865341628525812e-14 relative error = 9.260519982772548e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64599999999993 y2[1] (analytic) = 0.9971735362556012 y2[1] (numeric) = 0.997173536255595 absolute error = 6.217248937900877e-15 relative error = 6.234871576362447e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.07513280635979996 y1[1] (numeric) = -0.07513280635986871 absolute error = 6.875056079991282e-14 relative error = 9.150538111231529e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.646999999999929 y2[1] (analytic) = 0.9970979048750369 y2[1] (numeric) = 0.9970979048750307 absolute error = 6.217248937900877e-15 relative error = 6.235344500779053e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.07612994216345982 y1[1] (numeric) = -0.07612994216352868 absolute error = 6.886158310237533e-14 relative error = 9.045269331023729e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.647999999999929 y2[1] (analytic) = 0.9970212763966509 y2[1] (numeric) = 0.9970212763966446 absolute error = 6.328271240363392e-15 relative error = 6.347177728477861e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.07712700183718386 y1[1] (numeric) = -0.07712700183725282 absolute error = 6.895872761703004e-14 relative error = 8.940931966032186e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.648999999999929 y2[1] (analytic) = 0.9969436508970716 y2[1] (numeric) = 0.9969436508970652 absolute error = 6.439293542825908e-15 relative error = 6.459034607454184e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.07812398438391249 y1[1] (numeric) = -0.07812398438398156 absolute error = 6.906974991949255e-14 relative error = 8.841042922244451e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.649999999999929 y2[1] (analytic) = 0.9968650284539244 y2[1] (numeric) = 0.9968650284539179 absolute error = 6.550315845288424e-15 relative error = 6.570915478344702e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.07912088880666325 y1[1] (numeric) = -0.07912088880673242 absolute error = 6.916689443414725e-14 relative error = 8.741925865261803e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.650999999999929 y2[1] (analytic) = 0.9967854091458319 y2[1] (numeric) = 0.9967854091458253 absolute error = 6.661338147750939e-15 relative error = 6.682820681995326e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.0801177141085318 y1[1] (numeric) = -0.08011771410860107 absolute error = 6.926403894880195e-14 relative error = 8.645283969906221e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.651999999999929 y2[1] (analytic) = 0.9967047930524133 y2[1] (numeric) = 0.9967047930524066 absolute error = 6.772360450213455e-15 relative error = 6.794750559464119e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.08111445929269291 y1[1] (numeric) = -0.08111445929276229 absolute error = 6.937506125126447e-14 relative error = 8.552736695307544e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.652999999999929 y2[1] (analytic) = 0.9966231802542848 y2[1] (numeric) = 0.9966231802542779 absolute error = 6.883382752675971e-15 relative error = 6.906705452024205e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.08211112336240149 y1[1] (numeric) = -0.08211112336247096 absolute error = 6.947220576591917e-14 relative error = 8.460754514257486e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.653999999999929 y2[1] (analytic) = 0.9965405708330589 y2[1] (numeric) = 0.996540570833052 absolute error = 6.883382752675971e-15 relative error = 6.907277991624366e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.08310770532099356 y1[1] (numeric) = -0.08310770532106312 absolute error = 6.956935028057387e-14 relative error = 8.370986782978858e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.654999999999929 y2[1] (analytic) = 0.9964569648713453 y2[1] (numeric) = 0.9964569648713384 absolute error = 6.883382752675971e-15 relative error = 6.907857534584747e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.08410420417188721 y1[1] (numeric) = -0.0841042041719569 absolute error = 6.968037258303639e-14 relative error = 8.285004687830795e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.655999999999928 y2[1] (analytic) = 0.9963723624527498 y2[1] (numeric) = 0.9963723624527429 absolute error = 6.994405055138486e-15 relative error = 7.019870601308631e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.08510061891858371 y1[1] (numeric) = -0.0851006189186535 absolute error = 6.97913948854989e-14 relative error = 8.201044336971128e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.656999999999928 y2[1] (analytic) = 0.9962867636618751 y2[1] (numeric) = 0.996286763661868 absolute error = 7.105427357601002e-15 relative error = 7.1319098243209e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.08609694856466839 y1[1] (numeric) = -0.08609694856473828 absolute error = 6.98885394001536e-14 relative error = 8.117423505161688e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.657999999999928 y2[1] (analytic) = 0.9962001685843196 y2[1] (numeric) = 0.9962001685843124 absolute error = 7.216449660063518e-15 relative error = 7.243975545917315e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.08709319211381168 y1[1] (numeric) = -0.08709319211388167 absolute error = 6.998568391480831e-14 relative error = 8.035723828258859e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.658999999999928 y2[1] (analytic) = 0.9961125773066785 y2[1] (numeric) = 0.9961125773066712 absolute error = 7.216449660063518e-15 relative error = 7.24461253122171e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.0880893485697701 y1[1] (numeric) = -0.0880893485698402 absolute error = 7.009670621727082e-14 relative error = 7.957455396749991e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.659999999999928 y2[1] (analytic) = 0.9960239899165432 y2[1] (numeric) = 0.9960239899165358 absolute error = 7.327471962526033e-15 relative error = 7.356722364829789e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.0890854169363873 y1[1] (numeric) = -0.08908541693645751 absolute error = 7.020772851973334e-14 relative error = 7.880945157372519e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.660999999999928 y2[1] (analytic) = 0.9959344065025009 y2[1] (numeric) = 0.9959344065024935 absolute error = 7.327471962526033e-15 relative error = 7.357384095463152e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.09008139621759499 y1[1] (numeric) = -0.0900813962176653 absolute error = 7.030487303438804e-14 relative error = 7.804594065634149e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.661999999999928 y2[1] (analytic) = 0.9958438271541351 y2[1] (numeric) = 0.9958438271541277 absolute error = 7.438494264988549e-15 relative error = 7.469538959985169e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.09107728541741397 y1[1] (numeric) = -0.09107728541748437 absolute error = 7.040201754904274e-14 relative error = 7.729920498440973e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.662999999999928 y2[1] (analytic) = 0.9957522519620252 y2[1] (numeric) = 0.9957522519620177 absolute error = 7.549516567451064e-15 relative error = 7.581721811399909e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.09207308353995512 y1[1] (numeric) = -0.09207308354002562 absolute error = 7.049916206369744e-14 relative error = 7.656869885660376e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.663999999999928 y2[1] (analytic) = 0.9956596810177463 y2[1] (numeric) = 0.9956596810177386 absolute error = 7.66053886991358e-15 relative error = 7.69393299333273e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.0930687895894204 y1[1] (numeric) = -0.09306878958949101 absolute error = 7.061018436615996e-14 relative error = 7.586881131436416e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.664999999999927 y2[1] (analytic) = 0.9955661144138692 y2[1] (numeric) = 0.9955661144138616 absolute error = 7.66053886991358e-15 relative error = 7.694656094661935e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.09406440257010384 y1[1] (numeric) = -0.09406440257017457 absolute error = 7.072120666862247e-14 relative error = 7.518381527583267e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.665999999999927 y2[1] (analytic) = 0.9954715522439609 y2[1] (numeric) = 0.995471552243953 absolute error = 7.882583474838611e-15 relative error = 7.918441724497238e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.09505992148639256 y1[1] (numeric) = -0.09505992148646339 absolute error = 7.083222897108499e-14 relative error = 7.451324160963497e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.666999999999927 y2[1] (analytic) = 0.9953759946025832 y2[1] (numeric) = 0.9953759946025752 absolute error = 7.993605777301127e-15 relative error = 8.030739962231737e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.09605534534276772 y1[1] (numeric) = -0.09605534534283865 absolute error = 7.092937348573969e-14 relative error = 7.384219299054361e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.667999999999927 y2[1] (analytic) = 0.9952794415852938 y2[1] (numeric) = 0.9952794415852858 absolute error = 7.993605777301127e-15 relative error = 8.031519032050747e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.09705067314380553 y1[1] (numeric) = -0.09705067314387657 absolute error = 7.10403957882022e-14 relative error = 7.319928186684248e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.668999999999927 y2[1] (analytic) = 0.9951818932886458 y2[1] (numeric) = 0.9951818932886377 absolute error = 8.104628079763643e-15 relative error = 8.14386609565549e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.09804590389417829 y1[1] (numeric) = -0.09804590389424943 absolute error = 7.113754030285691e-14 relative error = 7.25553414037941e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.669999999999927 y2[1] (analytic) = 0.9950833498101874 y2[1] (numeric) = 0.9950833498101792 absolute error = 8.215650382226158e-15 relative error = 8.256243443117903e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.09904103659865532 y1[1] (numeric) = -0.09904103659872657 absolute error = 7.124856260531942e-14 relative error = 7.193842578005364e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.670999999999927 y2[1] (analytic) = 0.9949838112484621 y2[1] (numeric) = 0.9949838112484539 absolute error = 8.215650382226158e-15 relative error = 8.257069400875498e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.100036070262104 y1[1] (numeric) = -0.1000360702621754 absolute error = 7.134570711997412e-14 relative error = 7.131998181560071e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.671999999999927 y2[1] (analytic) = 0.9948832777030086 y2[1] (numeric) = 0.9948832777030002 absolute error = 8.326672684688674e-15 relative error = 8.36949707699715e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1010310038894908 y1[1] (numeric) = -0.1010310038895622 absolute error = 7.145672942243664e-14 relative error = 7.072752587967658e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.672999999999927 y2[1] (analytic) = 0.9947817492743602 y2[1] (numeric) = 0.9947817492743518 absolute error = 8.43769498715119e-15 relative error = 8.481955959994274e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1020258364858821 y1[1] (numeric) = -0.1020258364859536 absolute error = 7.155387393709134e-14 relative error = 7.013309216728909e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.673999999999926 y2[1] (analytic) = 0.9946792260640455 y2[1] (numeric) = 0.994679226064037 absolute error = 8.43769498715119e-15 relative error = 8.482830209030527e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1030205670564454 y1[1] (numeric) = -0.103020567056517 absolute error = 7.166489623955385e-14 relative error = 6.956367867815014e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.674999999999926 y2[1] (analytic) = 0.9945757081745875 y2[1] (numeric) = 0.994575708174579 absolute error = 8.548717289613705e-15 relative error = 8.595340927141432e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1040151946064502 y1[1] (numeric) = -0.104015194606522 absolute error = 7.176204075420856e-14 relative error = 6.899188241268591e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.675999999999926 y2[1] (analytic) = 0.9944711957095043 y2[1] (numeric) = 0.9944711957094956 absolute error = 8.659739592076221e-15 relative error = 8.707883777265102e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1050097181412691 y1[1] (numeric) = -0.105009718141341 absolute error = 7.187306305667107e-14 relative error = 6.844420147855321e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.676999999999926 y2[1] (analytic) = 0.9943656887733082 y2[1] (numeric) = 0.9943656887732994 absolute error = 8.770761894538737e-15 relative error = 8.820459106305972e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1060041366663786 y1[1] (numeric) = -0.1060041366664506 absolute error = 7.197020757132577e-14 relative error = 6.789377267213063e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.677999999999926 y2[1] (analytic) = 0.9942591874715063 y2[1] (numeric) = 0.9942591874714974 absolute error = 8.881784197001252e-15 relative error = 8.933067261453683e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1069984491873603 y1[1] (numeric) = -0.1069984491874324 absolute error = 7.208122987378829e-14 relative error = 6.736661177917636e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.678999999999926 y2[1] (analytic) = 0.9941516919105997 y2[1] (numeric) = 0.9941516919105907 absolute error = 8.992806499463768e-15 relative error = 9.045708590186111e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1079926547099017 y1[1] (numeric) = -0.1079926547099739 absolute error = 7.217837438844299e-14 relative error = 6.683637380925043e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.679999999999926 y2[1] (analytic) = 0.9940432021980841 y2[1] (numeric) = 0.994043202198075 absolute error = 9.103828801926284e-15 relative error = 9.158383440272401e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1089867522397974 y1[1] (numeric) = -0.1089867522398697 absolute error = 7.227551890309769e-14 relative error = 6.631587547821771e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.680999999999926 y2[1] (analytic) = 0.993933718442449 y2[1] (numeric) = 0.9939337184424398 absolute error = 9.214851104388799e-15 relative error = 9.271092159776004e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1099807407829499 y1[1] (numeric) = -0.1099807407830223 absolute error = 7.237266341775239e-14 relative error = 6.580485174270818e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.681999999999926 y2[1] (analytic) = 0.9938232407531784 y2[1] (numeric) = 0.9938232407531691 absolute error = 9.325873406851315e-15 relative error = 9.383835097057715e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1109746193453709 y1[1] (numeric) = -0.1109746193454433 absolute error = 7.246980793240709e-14 relative error = 6.530304709301989e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.682999999999925 y2[1] (analytic) = 0.9937117692407499 y2[1] (numeric) = 0.9937117692407405 absolute error = 9.436895709313831e-15 relative error = 9.496612600778729e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1119683869331817 y1[1] (numeric) = -0.1119683869332542 absolute error = 7.256695244706179e-14 relative error = 6.481021512828161e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.683999999999925 y2[1] (analytic) = 0.9935993040166349 y2[1] (numeric) = 0.9935993040166253 absolute error = 9.547918011776346e-15 relative error = 9.609425019903692e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1129620425526149 y1[1] (numeric) = -0.1129620425526876 absolute error = 7.26640969617165e-14 relative error = 6.43261181541325e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.684999999999925 y2[1] (analytic) = 0.9934858451932986 y2[1] (numeric) = 0.9934858451932891 absolute error = 9.547918011776346e-15 relative error = 9.610522442741642e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.113955585210015 y1[1] (numeric) = -0.1139555852100877 absolute error = 7.27612414763712e-14 relative error = 6.385052680153898e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.685999999999925 y2[1] (analytic) = 0.9933713928842001 y2[1] (numeric) = 0.9933713928841904 absolute error = 9.658940314238862e-15 relative error = 9.723392865376011e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1149490139118393 y1[1] (numeric) = -0.1149490139119122 absolute error = 7.28583859910259e-14 relative error = 6.338321966546399e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.686999999999925 y2[1] (analytic) = 0.9932559472037914 y2[1] (numeric) = 0.9932559472037816 absolute error = 9.769962616701378e-15 relative error = 9.836299137403328e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1159423276646594 y1[1] (numeric) = -0.1159423276647323 absolute error = 7.296940829348841e-14 relative error = 6.293595252334267e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.687999999999925 y2[1] (analytic) = 0.9931395082675182 y2[1] (numeric) = 0.9931395082675084 absolute error = 9.769962616701378e-15 relative error = 9.83745237740525e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1169355254751614 y1[1] (numeric) = -0.1169355254752345 absolute error = 7.30526750203353e-14 relative error = 6.247261020420404e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.688999999999925 y2[1] (analytic) = 0.9930220761918196 y2[1] (numeric) = 0.9930220761918097 absolute error = 9.880984919163893e-15 relative error = 9.950418179077025e-13 % Correct digits = 14 h = 0.001 y1[1] (analytic) = -0.1179286063501477 y1[1] (numeric) = -0.1179286063502209 absolute error = 7.314981953499e-14 relative error = 6.202890189153701e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.689999999999925 y2[1] (analytic) = 0.9929036510941275 y2[1] (numeric) = 0.9929036510941175 absolute error = 9.992007221626409e-15 relative error = 1.006342076657261e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1189215692965375 y1[1] (numeric) = -0.1189215692966107 absolute error = 7.326084183745252e-14 relative error = 6.160433491654704e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.690999999999925 y2[1] (analytic) = 0.992784233092867 y2[1] (numeric) = 0.9927842330928569 absolute error = 1.010302952408892e-14 relative error = 1.017646049093113e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1199144133213679 y1[1] (numeric) = -0.1199144133214412 absolute error = 7.335798635210722e-14 relative error = 6.117528687357165e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.691999999999924 y2[1] (analytic) = 0.9926638223074562 y2[1] (numeric) = 0.992663822307446 absolute error = 1.021405182655144e-14 relative error = 1.028953770351858e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1209071374317949 y1[1] (numeric) = -0.1209071374318684 absolute error = 7.346900865456973e-14 relative error = 6.076482349606071e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.692999999999924 y2[1] (analytic) = 0.9925424188583059 y2[1] (numeric) = 0.9925424188582955 absolute error = 1.032507412901396e-14 relative error = 1.040265275603092e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1218997406350946 y1[1] (numeric) = -0.1218997406351682 absolute error = 7.356615316922444e-14 relative error = 6.034972083283081e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.693999999999924 y2[1] (analytic) = 0.9924200228668193 y2[1] (numeric) = 0.9924200228668089 absolute error = 1.043609643147647e-14 relative error = 1.05158060004972e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1228922219386639 y1[1] (numeric) = -0.1228922219387375 absolute error = 7.366329768387914e-14 relative error = 5.994138320702254e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.694999999999924 y2[1] (analytic) = 0.9922966344553926 y2[1] (numeric) = 0.9922966344553821 absolute error = 1.054711873393899e-14 relative error = 1.062899778928265e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1238845803500214 y1[1] (numeric) = -0.1238845803500952 absolute error = 7.374656441072602e-14 relative error = 5.952844510782837e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.695999999999924 y2[1] (analytic) = 0.9921722537474141 y2[1] (numeric) = 0.9921722537474035 absolute error = 1.06581410364015e-14 relative error = 1.074222847509182e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1248768148768089 y1[1] (numeric) = -0.1248768148768828 absolute error = 7.385758671318854e-14 relative error = 5.914435500781239e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.696999999999924 y2[1] (analytic) = 0.9920468808672647 y2[1] (numeric) = 0.9920468808672539 absolute error = 1.076916333886402e-14 relative error = 1.08554984109717e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1258689245267919 y1[1] (numeric) = -0.1258689245268659 absolute error = 7.396860901565105e-14 relative error = 5.876637882919735e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.697999999999924 y2[1] (analytic) = 0.9919205159403169 y2[1] (numeric) = 0.9919205159403061 absolute error = 1.088018564132653e-14 relative error = 1.096880795031483e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.126860908307861 y1[1] (numeric) = -0.126860908307935 absolute error = 7.405187574249794e-14 relative error = 5.837249372579915e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.698999999999924 y2[1] (analytic) = 0.9917931590929359 y2[1] (numeric) = 0.991793159092925 absolute error = 1.088018564132653e-14 relative error = 1.097021646255074e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1278527652280322 y1[1] (numeric) = -0.1278527652281064 absolute error = 7.416289804496046e-14 relative error = 5.800648731584881e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.699999999999924 y2[1] (analytic) = 0.9916648104524785 y2[1] (numeric) = 0.9916648104524675 absolute error = 1.099120794378905e-14 relative error = 1.108359178216071e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1288444942954489 y1[1] (numeric) = -0.1288444942955232 absolute error = 7.427392034742297e-14 relative error = 5.764617320559154e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.700999999999923 y2[1] (analytic) = 0.9915354701472932 y2[1] (numeric) = 0.9915354701472822 absolute error = 1.099120794378905e-14 relative error = 1.108503757526324e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.129836094518382 y1[1] (numeric) = -0.1298360945184564 absolute error = 7.438494264988549e-14 relative error = 5.729142032946329e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.701999999999923 y2[1] (analytic) = 0.9914051383067204 y2[1] (numeric) = 0.9914051383067093 absolute error = 1.110223024625157e-14 relative error = 1.119847962984509e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1308275649052315 y1[1] (numeric) = -0.1308275649053059 absolute error = 7.446820937673237e-14 relative error = 5.692088622965311e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.702999999999923 y2[1] (analytic) = 0.9912738150610919 y2[1] (numeric) = 0.9912738150610807 absolute error = 1.121325254871408e-14 relative error = 1.131196282837655e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1318189044645269 y1[1] (numeric) = -0.1318189044646015 absolute error = 7.457923167919489e-14 relative error = 5.657703800691541e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.703999999999923 y2[1] (analytic) = 0.991141500541731 y2[1] (numeric) = 0.9911415005417197 absolute error = 1.13242748511766e-14 relative error = 1.142548752623824e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1328101122049288 y1[1] (numeric) = -0.1328101122050035 absolute error = 7.466249840604178e-14 relative error = 5.621748010485523e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.704999999999923 y2[1] (analytic) = 0.9910081948809522 y2[1] (numeric) = 0.9910081948809407 absolute error = 1.143529715363911e-14 relative error = 1.153905407917723e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1338011871352296 y1[1] (numeric) = -0.1338011871353044 absolute error = 7.474576513288866e-14 relative error = 5.586330490277707e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.705999999999923 y2[1] (analytic) = 0.990873898212061 y2[1] (numeric) = 0.9908738982120494 absolute error = 1.154631945610163e-14 relative error = 1.165266284331021e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1347921282643545 y1[1] (numeric) = -0.1347921282644293 absolute error = 7.485678743535118e-14 relative error = 5.553498442323128e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.706999999999923 y2[1] (analytic) = 0.9907386106693542 y2[1] (numeric) = 0.9907386106693425 absolute error = 1.165734175856414e-14 relative error = 1.176631417512669e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1357829346013623 y1[1] (numeric) = -0.1357829346014372 absolute error = 7.49678097378137e-14 relative error = 5.521151090003144e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.707999999999923 y2[1] (analytic) = 0.9906023323881192 y2[1] (numeric) = 0.9906023323881076 absolute error = 1.165734175856414e-14 relative error = 1.176793288025167e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1367736051554468 y1[1] (numeric) = -0.1367736051555218 absolute error = 7.507883204027621e-14 relative error = 5.489277843846198e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.708999999999923 y2[1] (analytic) = 0.9904650635046345 y2[1] (numeric) = 0.9904650635046227 absolute error = 1.176836406102666e-14 relative error = 1.188165488582283e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1377641389359375 y1[1] (numeric) = -0.1377641389360127 absolute error = 7.51620987671231e-14 relative error = 5.455853703849203e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.709999999999922 y2[1] (analytic) = 0.9903268041561688 y2[1] (numeric) = 0.9903268041561569 absolute error = 1.187938636348917e-14 relative error = 1.199542041438663e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1387545349523008 y1[1] (numeric) = -0.1387545349523761 absolute error = 7.527312106958561e-14 relative error = 5.424912497127536e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.710999999999922 y2[1] (analytic) = 0.9901875544809815 y2[1] (numeric) = 0.9901875544809695 absolute error = 1.199040866595169e-14 relative error = 1.210922982387574e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1397447922141407 y1[1] (numeric) = -0.1397447922142161 absolute error = 7.538414337204813e-14 relative error = 5.394415217744339e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.711999999999922 y2[1] (analytic) = 0.9900473146183222 y2[1] (numeric) = 0.9900473146183101 absolute error = 1.210143096841421e-14 relative error = 1.222308347261109e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1407349097312001 y1[1] (numeric) = -0.1407349097312755 absolute error = 7.546741009889502e-14 relative error = 5.362380253985011e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.712999999999922 y2[1] (analytic) = 0.9899060847084308 y2[1] (numeric) = 0.9899060847084186 absolute error = 1.221245327087672e-14 relative error = 1.233698171930502e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1417248865133614 y1[1] (numeric) = -0.141724886513437 absolute error = 7.55506768257419e-14 relative error = 5.330798188264501e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.713999999999922 y2[1] (analytic) = 0.9897638648925371 y2[1] (numeric) = 0.9897638648925249 absolute error = 1.221245327087672e-14 relative error = 1.233875442826222e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.142714721570648 y1[1] (numeric) = -0.1427147215707237 absolute error = 7.566169912820442e-14 relative error = 5.301604368176526e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.714999999999922 y2[1] (analytic) = 0.989620655312861 y2[1] (numeric) = 0.9896206553128487 absolute error = 1.232347557333924e-14 relative error = 1.245272671622165e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.143704413913225 y1[1] (numeric) = -0.1437044139133007 absolute error = 7.57449658550513e-14 relative error = 5.270886522719437e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.715999999999922 y2[1] (analytic) = 0.9894764561126121 y2[1] (numeric) = 0.9894764561125997 absolute error = 1.243449787580175e-14 relative error = 1.256674456373986e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1446939625514 y1[1] (numeric) = -0.1446939625514758 absolute error = 7.582823258189819e-14 relative error = 5.240594095621754e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.716999999999922 y2[1] (analytic) = 0.9893312674359895 y2[1] (numeric) = 0.9893312674359771 absolute error = 1.243449787580175e-14 relative error = 1.256858878829105e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1456833664956245 y1[1] (numeric) = -0.1456833664957004 absolute error = 7.591149930874508e-14 relative error = 5.210718363721023e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.717999999999922 y2[1] (analytic) = 0.9891850894281821 y2[1] (numeric) = 0.9891850894281694 absolute error = 1.265654248072678e-14 relative error = 1.279491837876686e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1466726247564947 y1[1] (numeric) = -0.1466726247565707 absolute error = 7.602252161120759e-14 relative error = 5.183143189632005e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.718999999999921 y2[1] (analytic) = 0.9890379222353675 y2[1] (numeric) = 0.9890379222353548 absolute error = 1.265654248072678e-14 relative error = 1.279682224127583e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1476617363447523 y1[1] (numeric) = -0.1476617363448284 absolute error = 7.610578833805448e-14 relative error = 5.1540629429121e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.719999999999921 y2[1] (analytic) = 0.9888897660047131 y2[1] (numeric) = 0.9888897660047004 absolute error = 1.27675647831893e-14 relative error = 1.291100911557866e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1486507002712859 y1[1] (numeric) = -0.1486507002713621 absolute error = 7.6216810640517e-14 relative error = 5.127241950520391e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.720999999999921 y2[1] (analytic) = 0.9887406208843752 y2[1] (numeric) = 0.9887406208843623 absolute error = 1.287858708565182e-14 relative error = 1.302524323733419e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1496395155471316 y1[1] (numeric) = -0.1496395155472079 absolute error = 7.630007736736388e-14 relative error = 5.098925714132763e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.721999999999921 y2[1] (analytic) = 0.9885904870234987 y2[1] (numeric) = 0.9885904870234857 absolute error = 1.298960938811433e-14 relative error = 1.313952496875035e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1506281811834743 y1[1] (numeric) = -0.1506281811835506 absolute error = 7.638334409421077e-14 relative error = 5.070986285174036e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.722999999999921 y2[1] (analytic) = 0.9884393645722177 y2[1] (numeric) = 0.9884393645722046 absolute error = 1.310063169057685e-14 relative error = 1.325385467245794e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1516166961916482 y1[1] (numeric) = -0.1516166961917247 absolute error = 7.649436639667329e-14 relative error = 5.045246883626986e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.723999999999921 y2[1] (analytic) = 0.9882872536816544 y2[1] (numeric) = 0.9882872536816413 absolute error = 1.310063169057685e-14 relative error = 1.325589462150121e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1526050595831387 y1[1] (numeric) = -0.1526050595832153 absolute error = 7.66053886991358e-14 relative error = 5.019845928332504e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.724999999999921 y2[1] (analytic) = 0.9881341545039197 y2[1] (numeric) = 0.9881341545039065 absolute error = 1.321165399303936e-14 relative error = 1.337030395399308e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1535932703695823 y1[1] (numeric) = -0.153593270369659 absolute error = 7.668865542598269e-14 relative error = 4.992969759772116e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.725999999999921 y2[1] (analytic) = 0.987980067192113 y2[1] (numeric) = 0.9879800671920996 absolute error = 1.332267629550188e-14 relative error = 1.348476223145429e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1545813275627683 y1[1] (numeric) = -0.1545813275628451 absolute error = 7.677192215282957e-14 relative error = 4.966442154642259e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.726999999999921 y2[1] (analytic) = 0.9878249919003214 y2[1] (numeric) = 0.9878249919003079 absolute error = 1.343369859796439e-14 relative error = 1.359926981815009e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1555692301746396 y1[1] (numeric) = -0.1555692301747165 absolute error = 7.688294445529209e-14 relative error = 4.942040554483974e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.72799999999992 y2[1] (analytic) = 0.9876689287836202 y2[1] (numeric) = 0.9876689287836066 absolute error = 1.365574320288943e-14 relative error = 1.382623549746308e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1565569772172937 y1[1] (numeric) = -0.1565569772173707 absolute error = 7.699396675775461e-14 relative error = 4.917951797887015e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.72899999999992 y2[1] (analytic) = 0.9875118779980725 y2[1] (numeric) = 0.9875118779980587 absolute error = 1.376676550535194e-14 relative error = 1.394086067426402e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1575445677029837 y1[1] (numeric) = -0.1575445677030608 absolute error = 7.710498906021712e-14 relative error = 4.894169959930447e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.72999999999992 y2[1] (analytic) = 0.9873538397007291 y2[1] (numeric) = 0.9873538397007152 absolute error = 1.387778780781446e-14 relative error = 1.405553637389091e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.158532000644119 y1[1] (numeric) = -0.1585320006441962 absolute error = 7.718825578706401e-14 relative error = 4.868938477622588e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73099999999992 y2[1] (analytic) = 0.9871948140496283 y2[1] (numeric) = 0.9871948140496143 absolute error = 1.398881011027697e-14 relative error = 1.417026296247716e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.159519275053267 y1[1] (numeric) = -0.1595192750533443 absolute error = 7.72715225139109e-14 relative error = 4.844024177523891e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73199999999992 y2[1] (analytic) = 0.9870348012037957 y2[1] (numeric) = 0.9870348012037816 absolute error = 1.409983241273949e-14 relative error = 1.428504080660906e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1605063899431532 y1[1] (numeric) = -0.1605063899432305 absolute error = 7.738254481637341e-14 relative error = 4.821150413001011e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73299999999992 y2[1] (analytic) = 0.9868738013232441 y2[1] (numeric) = 0.98687380132323 absolute error = 1.409983241273949e-14 relative error = 1.428737128681885e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1614933443266628 y1[1] (numeric) = -0.1614933443267403 absolute error = 7.749356711883593e-14 relative error = 4.798561045468525e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73399999999992 y2[1] (analytic) = 0.9867118145689735 y2[1] (numeric) = 0.9867118145689593 absolute error = 1.4210854715202e-14 relative error = 1.440223427486753e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1624801372168415 y1[1] (numeric) = -0.1624801372169191 absolute error = 7.757683384568281e-14 relative error = 4.774542610223852e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73499999999992 y2[1] (analytic) = 0.9865488411029705 y2[1] (numeric) = 0.9865488411029563 absolute error = 1.4210854715202e-14 relative error = 1.44046134596987e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1634667676268966 y1[1] (numeric) = -0.1634667676269743 absolute error = 7.768785614814533e-14 relative error = 4.752516812803404e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73599999999992 y2[1] (analytic) = 0.9863848810882087 y2[1] (numeric) = 0.9863848810881943 absolute error = 1.432187701766452e-14 relative error = 1.451956258885903e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1644532345701976 y1[1] (numeric) = -0.1644532345702754 absolute error = 7.777112287499222e-14 relative error = 4.729072254385805e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.736999999999919 y2[1] (analytic) = 0.9862199346886479 y2[1] (numeric) = 0.9862199346886334 absolute error = 1.443289932012704e-14 relative error = 1.463456457578455e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1654395370602778 y1[1] (numeric) = -0.1654395370603557 absolute error = 7.78543896018391e-14 relative error = 4.705911959453373e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.737999999999919 y2[1] (analytic) = 0.9860540020692347 y2[1] (numeric) = 0.9860540020692201 absolute error = 1.454392162258955e-14 relative error = 1.474961978965566e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1664256741108348 y1[1] (numeric) = -0.1664256741109127 absolute error = 7.796541190430162e-14 relative error = 4.684698579161463e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.738999999999919 y2[1] (analytic) = 0.9858870833959015 y2[1] (numeric) = 0.9858870833958868 absolute error = 1.465494392505207e-14 relative error = 1.486472860012823e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1674116447357314 y1[1] (numeric) = -0.1674116447358095 absolute error = 7.80486786311485e-14 relative error = 4.662081825571493e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.739999999999919 y2[1] (analytic) = 0.9857191788355671 y2[1] (numeric) = 0.9857191788355524 absolute error = 1.476596622751458e-14 relative error = 1.497989137733696e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1683974479489973 y1[1] (numeric) = -0.1683974479490755 absolute error = 7.815970093361102e-14 relative error = 4.641382745733968e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.740999999999919 y2[1] (analytic) = 0.985550288556136 y2[1] (numeric) = 0.9855502885561211 absolute error = 1.48769885299771e-14 relative error = 1.509510849189886e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1693830827648293 y1[1] (numeric) = -0.1693830827649076 absolute error = 7.824296766045791e-14 relative error = 4.619290568060453e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.741999999999919 y2[1] (analytic) = 0.9853804127264986 y2[1] (numeric) = 0.9853804127264836 absolute error = 1.498801083243961e-14 relative error = 1.521038031491669e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1703685481975926 y1[1] (numeric) = -0.170368548197671 absolute error = 7.835398996292042e-14 relative error = 4.599087730209794e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.742999999999919 y2[1] (analytic) = 0.9852095515165303 y2[1] (numeric) = 0.9852095515165153 absolute error = 1.498801083243961e-14 relative error = 1.52130181943208e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.171353843261822 y1[1] (numeric) = -0.1713538432619004 absolute error = 7.843725668976731e-14 relative error = 4.577502038861086e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.743999999999919 y2[1] (analytic) = 0.9850377050970929 y2[1] (numeric) = 0.9850377050970777 absolute error = 1.521005543736464e-14 relative error = 1.544108957318078e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1723389669722223 y1[1] (numeric) = -0.1723389669723009 absolute error = 7.854827899222983e-14 relative error = 4.557778218833717e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.744999999999919 y2[1] (analytic) = 0.9848648736400323 y2[1] (numeric) = 0.984864873640017 absolute error = 1.532107773982716e-14 relative error = 1.555652775309256e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1733239183436701 y1[1] (numeric) = -0.1733239183437487 absolute error = 7.863154571907671e-14 relative error = 4.536681750014706e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.745999999999919 y2[1] (analytic) = 0.9846910573181802 y2[1] (numeric) = 0.9846910573181648 absolute error = 1.543210004228968e-14 relative error = 1.567202213079828e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1743086963912139 y1[1] (numeric) = -0.1743086963912926 absolute error = 7.87148124459236e-14 relative error = 4.515828187324522e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.746999999999918 y2[1] (analytic) = 0.9845162563053528 y2[1] (numeric) = 0.9845162563053372 absolute error = 1.554312234475219e-14 relative error = 1.578757307988159e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1752933001300759 y1[1] (numeric) = -0.1752933001301547 absolute error = 7.882583474838611e-14 relative error = 4.49679677944871e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.747999999999918 y2[1] (analytic) = 0.9843404707763511 y2[1] (numeric) = 0.9843404707763355 absolute error = 1.565414464721471e-14 relative error = 1.590318097443281e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1762777285756523 y1[1] (numeric) = -0.1762777285757312 absolute error = 7.888134589961737e-14 relative error = 4.474833351722264e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.748999999999918 y2[1] (analytic) = 0.9841637009069608 y2[1] (numeric) = 0.9841637009069449 absolute error = 1.587618925213974e-14 relative error = 1.613165496503169e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1772619807435149 y1[1] (numeric) = -0.1772619807435939 absolute error = 7.899236820207989e-14 relative error = 4.456249889048463e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.749999999999918 y2[1] (analytic) = 0.9839859468739515 y2[1] (numeric) = 0.9839859468739356 absolute error = 1.587618925213974e-14 relative error = 1.61345690988547e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1782460556494115 y1[1] (numeric) = -0.1782460556494906 absolute error = 7.91033905045424e-14 relative error = 4.437876070600365e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.750999999999918 y2[1] (analytic) = 0.9838072088550773 y2[1] (numeric) = 0.9838072088550613 absolute error = 1.598721155460225e-14 relative error = 1.625035007947101e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1792299523092673 y1[1] (numeric) = -0.1792299523093464 absolute error = 7.915890165577366e-14 relative error = 4.416611210116394e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.751999999999918 y2[1] (analytic) = 0.9836274870290763 y2[1] (numeric) = 0.9836274870290602 absolute error = 1.609823385706477e-14 relative error = 1.63661895070536e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1802136697391857 y1[1] (numeric) = -0.1802136697392649 absolute error = 7.926992395823618e-14 relative error = 4.398663213115832e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.752999999999918 y2[1] (analytic) = 0.9834467815756702 y2[1] (numeric) = 0.983446781575654 absolute error = 1.620925615952729e-14 relative error = 1.648208775827905e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1811972069554494 y1[1] (numeric) = -0.1811972069555287 absolute error = 7.935319068508306e-14 relative error = 4.379382663695996e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.753999999999918 y2[1] (analytic) = 0.9832650926755645 y2[1] (numeric) = 0.9832650926755482 absolute error = 1.63202784619898e-14 relative error = 1.659804521035183e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1821805629745212 y1[1] (numeric) = -0.1821805629746007 absolute error = 7.943645741192995e-14 relative error = 4.360314630438347e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.754999999999918 y2[1] (analytic) = 0.9830824205104481 y2[1] (numeric) = 0.9830824205104316 absolute error = 1.654232306691483e-14 relative error = 1.682699509398767e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1831637368130453 y1[1] (numeric) = -0.1831637368131248 absolute error = 7.951972413877684e-14 relative error = 4.341455657237567e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.755999999999917 y2[1] (analytic) = 0.982898765262993 y2[1] (numeric) = 0.9828987652629765 absolute error = 1.654232306691483e-14 relative error = 1.683013922851823e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1841467274878478 y1[1] (numeric) = -0.1841467274879274 absolute error = 7.960299086562372e-14 relative error = 4.32280236263644e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.756999999999917 y2[1] (analytic) = 0.9827141271168547 y2[1] (numeric) = 0.982714127116838 absolute error = 1.665334536937735e-14 relative error = 1.694627655169253e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1851295340159382 y1[1] (numeric) = -0.1851295340160179 absolute error = 7.971401316808624e-14 relative error = 4.305850689454202e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.757999999999917 y2[1] (analytic) = 0.9825285062566711 y2[1] (numeric) = 0.9825285062566543 absolute error = 1.676436767183986e-14 relative error = 1.706247458988271e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1861121554145099 y1[1] (numeric) = -0.1861121554145897 absolute error = 7.979727989493313e-14 relative error = 4.287590980675508e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.758999999999917 y2[1] (analytic) = 0.9823419028680631 y2[1] (numeric) = 0.9823419028680462 absolute error = 1.687538997430238e-14 relative error = 1.717873372298656e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1870945907009418 y1[1] (numeric) = -0.1870945907010217 absolute error = 7.990830219739564e-14 relative error = 4.271010823884466e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.759999999999917 y2[1] (analytic) = 0.9821543171376341 y2[1] (numeric) = 0.9821543171376171 absolute error = 1.69864122767649e-14 relative error = 1.729505433145136e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1880768388927986 y1[1] (numeric) = -0.1880768388928785 absolute error = 7.999156892424253e-14 relative error = 4.25313235777196e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.760999999999917 y2[1] (analytic) = 0.9819657492529698 y2[1] (numeric) = 0.9819657492529528 absolute error = 1.69864122767649e-14 relative error = 1.729837551837964e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1890588990078321 y1[1] (numeric) = -0.1890588990079122 absolute error = 8.007483565108942e-14 relative error = 4.235443878670434e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.761999999999917 y2[1] (analytic) = 0.9817761994026381 y2[1] (numeric) = 0.981776199402621 absolute error = 1.709743457922741e-14 relative error = 1.741479839257699e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1900407700639824 y1[1] (numeric) = -0.1900407700640626 absolute error = 8.018585795355193e-14 relative error = 4.219402916887529e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.762999999999917 y2[1] (analytic) = 0.9815856677761888 y2[1] (numeric) = 0.9815856677761715 absolute error = 1.731947918415244e-14 relative error = 1.764438882180323e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1910224510793784 y1[1] (numeric) = -0.1910224510794587 absolute error = 8.026912468039882e-14 relative error = 4.202078039876233e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.763999999999917 y2[1] (analytic) = 0.9813941545641535 y2[1] (numeric) = 0.9813941545641361 absolute error = 1.731947918415244e-14 relative error = 1.764783201897528e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1920039410723393 y1[1] (numeric) = -0.1920039410724197 absolute error = 8.038014698286133e-14 relative error = 4.186380057301915e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.764999999999916 y2[1] (analytic) = 0.9812016599580454 y2[1] (numeric) = 0.981201659958028 absolute error = 1.743050148661496e-14 relative error = 1.776444353687728e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1929852390613752 y1[1] (numeric) = -0.1929852390614556 absolute error = 8.046341370970822e-14 relative error = 4.169407675999428e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.765999999999916 y2[1] (analytic) = 0.9810081841503592 y2[1] (numeric) = 0.9810081841503416 absolute error = 1.754152378907747e-14 relative error = 1.788111870266404e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.193966344065188 y1[1] (numeric) = -0.1939663440652686 absolute error = 8.054668043655511e-14 relative error = 4.152611156576992e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.766999999999916 y2[1] (analytic) = 0.9808137273345706 y2[1] (numeric) = 0.9808137273345529 absolute error = 1.77635683940025e-14 relative error = 1.811105197546147e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1949472551026729 y1[1] (numeric) = -0.1949472551027536 absolute error = 8.065770273901762e-14 relative error = 4.137411562760276e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.767999999999916 y2[1] (analytic) = 0.9806182897051363 y2[1] (numeric) = 0.9806182897051186 absolute error = 1.77635683940025e-14 relative error = 1.811466151558713e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.195927971192919 y1[1] (numeric) = -0.1959279711929998 absolute error = 8.074096946586451e-14 relative error = 4.120951642293255e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.768999999999916 y2[1] (analytic) = 0.9804218714574942 y2[1] (numeric) = 0.9804218714574762 absolute error = 1.798561299892754e-14 relative error = 1.83447692493744e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1969084913552102 y1[1] (numeric) = -0.1969084913552911 absolute error = 8.08242361927114e-14 relative error = 4.104659765378512e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.769999999999916 y2[1] (analytic) = 0.9802244727880621 y2[1] (numeric) = 0.980224472788044 absolute error = 1.809663530139005e-14 relative error = 1.846172565954981e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1978888146090265 y1[1] (numeric) = -0.1978888146091074 absolute error = 8.090750291955828e-14 relative error = 4.088533405963803e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.770999999999916 y2[1] (analytic) = 0.980026093894239 y2[1] (numeric) = 0.9800260938942208 absolute error = 1.820765760385257e-14 relative error = 1.857874776731963e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1988689399740447 y1[1] (numeric) = -0.1988689399741257 absolute error = 8.099076964640517e-14 relative error = 4.072570088470108e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.771999999999916 y2[1] (analytic) = 0.9798267349744038 y2[1] (numeric) = 0.9798267349743853 absolute error = 1.84297022087776e-14 relative error = 1.880914405673881e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.1998488664701394 y1[1] (numeric) = -0.1998488664702205 absolute error = 8.107403637325206e-14 relative error = 4.056767386537356e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.772999999999916 y2[1] (analytic) = 0.979626396227915 y2[1] (numeric) = 0.9796263962278966 absolute error = 1.84297022087776e-14 relative error = 1.881299062555051e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2008285931173844 y1[1] (numeric) = -0.2008285931174655 absolute error = 8.115730310009894e-14 relative error = 4.041122921807378e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.773999999999915 y2[1] (analytic) = 0.9794250778551119 y2[1] (numeric) = 0.9794250778550933 absolute error = 1.865174681370263e-14 relative error = 1.904356671625046e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2018081189360529 y1[1] (numeric) = -0.2018081189361342 absolute error = 8.124056982694583e-14 relative error = 4.025634362742788e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.774999999999915 y2[1] (analytic) = 0.9792227800573123 y2[1] (numeric) = 0.9792227800572937 absolute error = 1.865174681370263e-14 relative error = 1.904750092988132e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2027874429466194 y1[1] (numeric) = -0.2027874429467007 absolute error = 8.132383655379272e-14 relative error = 4.010299423480572e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.775999999999915 y2[1] (analytic) = 0.9790195030368145 y2[1] (numeric) = 0.9790195030367956 absolute error = 1.887379141862766e-14 relative error = 1.927825887031174e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2037665641697598 y1[1] (numeric) = -0.2037665641698412 absolute error = 8.14071032806396e-14 relative error = 3.995115862719195e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.776999999999915 y2[1] (analytic) = 0.9788152469968951 y2[1] (numeric) = 0.9788152469968762 absolute error = 1.898481372109018e-14 relative error = 1.939570698284229e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.204745481626353 y1[1] (numeric) = -0.2047454816264345 absolute error = 8.149037000748649e-14 relative error = 3.980081482638091e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.777999999999915 y2[1] (analytic) = 0.9786100121418103 y2[1] (numeric) = 0.9786100121417912 absolute error = 1.909583602355269e-14 relative error = 1.95132236402927e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2057241943374816 y1[1] (numeric) = -0.2057241943375632 absolute error = 8.157363673433338e-14 relative error = 3.965194127848442e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.778999999999915 y2[1] (analytic) = 0.9784037986767949 y2[1] (numeric) = 0.9784037986767757 absolute error = 1.920685832601521e-14 relative error = 1.963080923437827e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2067027013244331 y1[1] (numeric) = -0.2067027013245147 absolute error = 8.168465903679589e-14 relative error = 3.951794461969155e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.779999999999915 y2[1] (analytic) = 0.9781966068080624 y2[1] (numeric) = 0.9781966068080431 absolute error = 1.931788062847772e-14 relative error = 1.974846415743926e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2076810016087004 y1[1] (numeric) = -0.2076810016087822 absolute error = 8.176792576364278e-14 relative error = 3.937188530981029e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.780999999999915 y2[1] (analytic) = 0.9779884367428046 y2[1] (numeric) = 0.9779884367427851 absolute error = 1.942890293094024e-14 relative error = 1.986618880244464e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2086590942119834 y1[1] (numeric) = -0.2086590942120653 absolute error = 8.185119249048967e-14 relative error = 3.922723464299832e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.781999999999915 y2[1] (analytic) = 0.9777792886891915 y2[1] (numeric) = 0.977779288689172 absolute error = 1.953992523340276e-14 relative error = 1.998398356299603e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2096369781561897 y1[1] (numeric) = -0.2096369781562716 absolute error = 8.193445921733655e-14 relative error = 3.908397265500146e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.782999999999914 y2[1] (analytic) = 0.9775691628563712 y2[1] (numeric) = 0.9775691628563515 absolute error = 1.965094753586527e-14 relative error = 2.010184883333157e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2106146524634352 y1[1] (numeric) = -0.2106146524635172 absolute error = 8.204548151979907e-14 relative error = 3.895525812670748e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.783999999999914 y2[1] (analytic) = 0.9773580594544695 y2[1] (numeric) = 0.9773580594544498 absolute error = 1.976196983832779e-14 relative error = 2.02197850083298e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2115921161560458 y1[1] (numeric) = -0.2115921161561279 absolute error = 8.212874824664596e-14 relative error = 3.881465422184129e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.784999999999914 y2[1] (analytic) = 0.9771459786945899 y2[1] (numeric) = 0.97714597869457 absolute error = 1.98729921407903e-14 relative error = 2.033779248351353e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2125693682565579 y1[1] (numeric) = -0.2125693682566401 absolute error = 8.221201497349284e-14 relative error = 3.867538189898936e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.785999999999914 y2[1] (analytic) = 0.9769329207888129 y2[1] (numeric) = 0.9769329207887929 absolute error = 1.998401444325282e-14 relative error = 2.045587165505382e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2135464077877195 y1[1] (numeric) = -0.2135464077878018 absolute error = 8.232303727595536e-14 relative error = 3.855042008376483e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.786999999999914 y2[1] (analytic) = 0.9767188859501966 y2[1] (numeric) = 0.9767188859501764 absolute error = 2.020605904817785e-14 relative error = 2.068769155468973e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2145232337724911 y1[1] (numeric) = -0.2145232337725734 absolute error = 8.237854842718662e-14 relative error = 3.840075826684199e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.787999999999914 y2[1] (analytic) = 0.9765038743927758 y2[1] (numeric) = 0.9765038743927554 absolute error = 2.031708135064036e-14 relative error = 2.08059403382032e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2154998452340467 y1[1] (numeric) = -0.2154998452341292 absolute error = 8.24618151540335e-14 relative error = 3.826537094004622e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.788999999999914 y2[1] (analytic) = 0.9762878863315618 y2[1] (numeric) = 0.9762878863315414 absolute error = 2.042810365310288e-14 relative error = 2.092426213528291e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2164762411957751 y1[1] (numeric) = -0.2164762411958577 absolute error = 8.257283745649602e-14 relative error = 3.814406467905152e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.789999999999914 y2[1] (analytic) = 0.976070921982543 y2[1] (numeric) = 0.9760709219825224 absolute error = 2.05391259555654e-14 relative error = 2.104265734486529e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2174524206812803 y1[1] (numeric) = -0.217452420681363 absolute error = 8.26561041833429e-14 relative error = 3.801112166255984e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.790999999999914 y2[1] (analytic) = 0.9758529815626834 y2[1] (numeric) = 0.9758529815626628 absolute error = 2.065014825802791e-14 relative error = 2.116112636655551e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.218428382714383 y1[1] (numeric) = -0.2184283827144658 absolute error = 8.273937091018979e-14 relative error = 3.787940462773091e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.791999999999913 y2[1] (analytic) = 0.9756340652899237 y2[1] (numeric) = 0.9756340652899029 absolute error = 2.076117056049043e-14 relative error = 2.127966960063141e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2194041263191212 y1[1] (numeric) = -0.219404126319204 absolute error = 8.285039321265231e-14 relative error = 3.776154742511416e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.792999999999913 y2[1] (analytic) = 0.9754141733831799 y2[1] (numeric) = 0.9754141733831591 absolute error = 2.087219286295294e-14 relative error = 2.139828744804751e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2203796505197513 y1[1] (numeric) = -0.2203796505198342 absolute error = 8.293365993949919e-14 relative error = 3.763217690195327e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.793999999999913 y2[1] (analytic) = 0.9751933060623441 y2[1] (numeric) = 0.9751933060623231 absolute error = 2.098321516541546e-14 relative error = 2.151698031043909e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2213549543407493 y1[1] (numeric) = -0.2213549543408323 absolute error = 8.301692666634608e-14 relative error = 3.750398400324554e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.794999999999913 y2[1] (analytic) = 0.9749714635482835 y2[1] (numeric) = 0.9749714635482624 absolute error = 2.109423746787797e-14 relative error = 2.163574859012612e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2223300368068114 y1[1] (numeric) = -0.2223300368068945 absolute error = 8.310019339319297e-14 relative error = 3.7376953013956e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.795999999999913 y2[1] (analytic) = 0.9747486460628406 y2[1] (numeric) = 0.9747486460628193 absolute error = 2.131628207280301e-14 relative error = 2.186849108116512e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2233048969428552 y1[1] (numeric) = -0.2233048969429384 absolute error = 8.321121569565548e-14 relative error = 3.726349795049485e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.796999999999913 y2[1] (analytic) = 0.9745248538288328 y2[1] (numeric) = 0.9745248538288114 absolute error = 2.142730437526552e-14 relative error = 2.198743756106302e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2242795337740206 y1[1] (numeric) = -0.2242795337741039 absolute error = 8.329448242250237e-14 relative error = 3.713869073155295e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.797999999999913 y2[1] (analytic) = 0.9743000870700524 y2[1] (numeric) = 0.9743000870700309 absolute error = 2.153832667772804e-14 relative error = 2.210646079535804e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.225253946325671 y1[1] (numeric) = -0.2252539463257544 absolute error = 8.334999357373363e-14 relative error = 3.70026785027893e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.798999999999913 y2[1] (analytic) = 0.9740743460112662 y2[1] (numeric) = 0.9740743460112445 absolute error = 2.164934898019055e-14 relative error = 2.22255611892895e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2262281336233938 y1[1] (numeric) = -0.2262281336234773 absolute error = 8.346101587619614e-14 relative error = 3.689241233591894e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.799999999999913 y2[1] (analytic) = 0.973847630878215 y2[1] (numeric) = 0.9738476308781934 absolute error = 2.164934898019055e-14 relative error = 2.223073537763519e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2272020946930019 y1[1] (numeric) = -0.2272020946930854 absolute error = 8.354428260304303e-14 relative error = 3.677091213262318e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.800999999999912 y2[1] (analytic) = 0.9736199418976142 y2[1] (numeric) = 0.9736199418975924 absolute error = 2.187139358511558e-14 relative error = 2.246399508055226e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2281758285605342 y1[1] (numeric) = -0.2281758285606178 absolute error = 8.362754932988992e-14 relative error = 3.665048566163257e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.801999999999912 y2[1] (analytic) = 0.9733912792971526 y2[1] (numeric) = 0.9733912792971307 absolute error = 2.19824158875781e-14 relative error = 2.258332939190778e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2291493342522569 y1[1] (numeric) = -0.2291493342523407 absolute error = 8.37108160567368e-14 relative error = 3.653111903200405e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.802999999999912 y2[1] (analytic) = 0.9731616433054928 y2[1] (numeric) = 0.9731616433054707 absolute error = 2.209343819004062e-14 relative error = 2.270274249095645e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2301226107946645 y1[1] (numeric) = -0.2301226107947483 absolute error = 8.379408278358369e-14 relative error = 3.641279859211752e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.803999999999912 y2[1] (analytic) = 0.9729310341522709 y2[1] (numeric) = 0.9729310341522487 absolute error = 2.220446049250313e-14 relative error = 2.282223478650797e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2310956572144805 y1[1] (numeric) = -0.2310956572145644 absolute error = 8.387734951043058e-14 relative error = 3.629551092454488e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.804999999999912 y2[1] (analytic) = 0.9726994520680958 y2[1] (numeric) = 0.9726994520680735 absolute error = 2.231548279496565e-14 relative error = 2.294180668809856e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2320684725386585 y1[1] (numeric) = -0.2320684725387425 absolute error = 8.398837181289309e-14 relative error = 3.619120292132836e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.805999999999912 y2[1] (analytic) = 0.9724668972845498 y2[1] (numeric) = 0.9724668972845273 absolute error = 2.253752739989068e-14 relative error = 2.317562424265847e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2330410557943834 y1[1] (numeric) = -0.2330410557944674 absolute error = 8.407163853973998e-14 relative error = 3.607589154329871e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.806999999999912 y2[1] (analytic) = 0.9722333700341875 y2[1] (numeric) = 0.9722333700341649 absolute error = 2.264854970235319e-14 relative error = 2.329538401007238e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2340134060090718 y1[1] (numeric) = -0.234013406009156 absolute error = 8.415490526658687e-14 relative error = 3.596157446779972e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.807999999999912 y2[1] (analytic) = 0.9719988705505361 y2[1] (numeric) = 0.9719988705505135 absolute error = 2.264854970235319e-14 relative error = 2.330100413545249e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2349855222103737 y1[1] (numeric) = -0.234985522210458 absolute error = 8.423817199343375e-14 relative error = 3.584823916003577e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.808999999999912 y2[1] (analytic) = 0.9717633990680953 y2[1] (numeric) = 0.9717633990680725 absolute error = 2.275957200481571e-14 relative error = 2.342089857123839e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2359574034261731 y1[1] (numeric) = -0.2359574034262574 absolute error = 8.432143872028064e-14 relative error = 3.57358732957338e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.809999999999911 y2[1] (analytic) = 0.9715269558223363 y2[1] (numeric) = 0.9715269558223134 absolute error = 2.287059430727822e-14 relative error = 2.354087467178892e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2369290486845886 y1[1] (numeric) = -0.236929048684673 absolute error = 8.440470544712753e-14 relative error = 3.562446475674291e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.810999999999911 y2[1] (analytic) = 0.9712895410497026 y2[1] (numeric) = 0.9712895410496795 absolute error = 2.309263891220326e-14 relative error = 2.377523687452284e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2379004570139752 y1[1] (numeric) = -0.2379004570140597 absolute error = 8.448797217397441e-14 relative error = 3.551400162674394e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.811999999999911 y2[1] (analytic) = 0.9710511549876085 y2[1] (numeric) = 0.9710511549875854 absolute error = 2.309263891220326e-14 relative error = 2.378107352387418e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2388716274429246 y1[1] (numeric) = -0.2388716274430092 absolute error = 8.45712389008213e-14 relative error = 3.540447218706563e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.812999999999911 y2[1] (analytic) = 0.9708117978744406 y2[1] (numeric) = 0.9708117978744173 absolute error = 2.331468351712829e-14 relative error = 2.401565737888126e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2398425590002665 y1[1] (numeric) = -0.2398425590003512 absolute error = 8.465450562766819e-14 relative error = 3.529586491260465e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.813999999999911 y2[1] (analytic) = 0.9705714699495556 y2[1] (numeric) = 0.9705714699495323 absolute error = 2.331468351712829e-14 relative error = 2.402160401267518e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2408132507150694 y1[1] (numeric) = -0.2408132507151541 absolute error = 8.473777235451507e-14 relative error = 3.518816846784604e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.814999999999911 y2[1] (analytic) = 0.9703301714532816 y2[1] (numeric) = 0.9703301714532581 absolute error = 2.353672812205332e-14 relative error = 2.425641169830051e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2417837016166416 y1[1] (numeric) = -0.2417837016167264 absolute error = 8.482103908136196e-14 relative error = 3.50813717029816e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.815999999999911 y2[1] (analytic) = 0.9700879026269169 y2[1] (numeric) = 0.9700879026268933 absolute error = 2.364775042451583e-14 relative error = 2.43769150821072e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2427539107345324 y1[1] (numeric) = -0.2427539107346173 absolute error = 8.490430580820885e-14 relative error = 3.497546365012318e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.816999999999911 y2[1] (analytic) = 0.9698446637127305 y2[1] (numeric) = 0.9698446637127067 absolute error = 2.375877272697835e-14 relative error = 2.449750317336977e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2437238770985326 y1[1] (numeric) = -0.2437238770986176 absolute error = 8.498757253505573e-14 relative error = 3.487043351960834e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.817999999999911 y2[1] (analytic) = 0.9696004549539612 y2[1] (numeric) = 0.9696004549539373 absolute error = 2.386979502944087e-14 relative error = 2.461817639160891e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2446935997386761 y1[1] (numeric) = -0.2446935997387611 absolute error = 8.507083926190262e-14 relative error = 3.476627069639549e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.81899999999991 y2[1] (analytic) = 0.9693552765948178 y2[1] (numeric) = 0.9693552765947937 absolute error = 2.40918396343659e-14 relative error = 2.485346726434139e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2456630776852402 y1[1] (numeric) = -0.2456630776853253 absolute error = 8.515410598874951e-14 relative error = 3.466296473654644e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.81999999999991 y2[1] (analytic) = 0.9691091288804785 y2[1] (numeric) = 0.9691091288804543 absolute error = 2.420286193682841e-14 relative error = 2.497434108869424e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2466323099687471 y1[1] (numeric) = -0.2466323099688323 absolute error = 8.523737271559639e-14 relative error = 3.45605053637934e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82099999999991 y2[1] (analytic) = 0.9688620120570911 y2[1] (numeric) = 0.9688620120570668 absolute error = 2.431388423929093e-14 relative error = 2.509530143272684e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2476012956199646 y1[1] (numeric) = -0.2476012956200499 absolute error = 8.529288386682765e-14 relative error = 3.44476726800901e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82199999999991 y2[1] (analytic) = 0.9686139263717723 y2[1] (numeric) = 0.9686139263717479 absolute error = 2.442490654175344e-14 relative error = 2.521634871929221e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2485700336699071 y1[1] (numeric) = -0.2485700336699924 absolute error = 8.537615059367454e-14 relative error = 3.434691999400511e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82299999999991 y2[1] (analytic) = 0.968364872072608 y2[1] (numeric) = 0.9683648720725835 absolute error = 2.453592884421596e-14 relative error = 2.533748337204889e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2495385231498366 y1[1] (numeric) = -0.2495385231499221 absolute error = 8.545941732052142e-14 relative error = 3.424698368884988e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82399999999991 y2[1] (analytic) = 0.9681148494086522 y2[1] (numeric) = 0.9681148494086276 absolute error = 2.464695114667848e-14 relative error = 2.545870581546541e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2505067630912638 y1[1] (numeric) = -0.2505067630913493 absolute error = 8.554268404736831e-14 relative error = 3.414785413047059e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82499999999991 y2[1] (analytic) = 0.9678638586299277 y2[1] (numeric) = 0.967863858629903 absolute error = 2.475797344914099e-14 relative error = 2.558001647482474e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2514747525259488 y1[1] (numeric) = -0.2514747525260344 absolute error = 8.565370634983083e-14 relative error = 3.406055895849526e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82599999999991 y2[1] (analytic) = 0.9676118999874254 y2[1] (numeric) = 0.9676118999874004 absolute error = 2.498001805406602e-14 relative error = 2.58161542395155e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2524424904859022 y1[1] (numeric) = -0.2524424904859879 absolute error = 8.570921750106208e-14 relative error = 3.39519774726072e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82699999999991 y2[1] (analytic) = 0.9673589737331035 y2[1] (numeric) = 0.9673589737330784 absolute error = 2.509104035652854e-14 relative error = 2.593767260947662e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2534099760033861 y1[1] (numeric) = -0.2534099760034719 absolute error = 8.58202398035246e-14 relative error = 3.386616468578879e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.827999999999909 y2[1] (analytic) = 0.9671050801198886 y2[1] (numeric) = 0.9671050801198634 absolute error = 2.520206265899105e-14 relative error = 2.605928060668117e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2543772081109152 y1[1] (numeric) = -0.2543772081110011 absolute error = 8.587575095475586e-14 relative error = 3.375921592681045e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.828999999999909 y2[1] (analytic) = 0.9668502194016741 y2[1] (numeric) = 0.9668502194016488 absolute error = 2.531308496145357e-14 relative error = 2.618097865987798e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2553441858412573 y1[1] (numeric) = -0.2553441858413433 absolute error = 8.593126210598712e-14 relative error = 3.365311092668033e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.829999999999909 y2[1] (analytic) = 0.9665943918333209 y2[1] (numeric) = 0.9665943918332954 absolute error = 2.542410726391608e-14 relative error = 2.630276719865369e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2563109082274349 y1[1] (numeric) = -0.256310908227521 absolute error = 8.604228440844963e-14 relative error = 3.356949768680968e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.830999999999909 y2[1] (analytic) = 0.9663375976706563 y2[1] (numeric) = 0.9663375976706308 absolute error = 2.55351295663786e-14 relative error = 2.642464665343735e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2572773743027257 y1[1] (numeric) = -0.2572773743028118 absolute error = 8.609779555968089e-14 relative error = 3.346496977941551e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.831999999999909 y2[1] (analytic) = 0.9660798371704746 y2[1] (numeric) = 0.966079837170449 absolute error = 2.564615186884112e-14 relative error = 2.654661745550497e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2582435831006635 y1[1] (numeric) = -0.2582435831007497 absolute error = 8.620881786214341e-14 relative error = 3.338275314610205e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.832999999999909 y2[1] (analytic) = 0.9658211105905362 y2[1] (numeric) = 0.9658211105905105 absolute error = 2.575717417130363e-14 relative error = 2.666868003698409e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2592095336550398 y1[1] (numeric) = -0.2592095336551261 absolute error = 8.631984016460592e-14 relative error = 3.330118261756597e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.833999999999909 y2[1] (analytic) = 0.9655614181895678 y2[1] (numeric) = 0.9655614181895419 absolute error = 2.586819647376615e-14 relative error = 2.679083483085844e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.260175224999904 y1[1] (numeric) = -0.2601752249999904 absolute error = 8.637535131583718e-14 relative error = 3.319891481437905e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.834999999999909 y2[1] (analytic) = 0.9653007602272615 y2[1] (numeric) = 0.9653007602272355 absolute error = 2.597921877622866e-14 relative error = 2.691308227097258e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2611406561695649 y1[1] (numeric) = -0.2611406561696514 absolute error = 8.643086246706844e-14 relative error = 3.309743635282389e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.835999999999909 y2[1] (analytic) = 0.9650391369642756 y2[1] (numeric) = 0.9650391369642495 absolute error = 2.609024107869118e-14 relative error = 2.703542279203647e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2621058261985914 y1[1] (numeric) = -0.2621058261986779 absolute error = 8.654188476953095e-14 relative error = 3.301791723773443e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.836999999999908 y2[1] (analytic) = 0.9647765486622331 y2[1] (numeric) = 0.9647765486622069 absolute error = 2.620126338115369e-14 relative error = 2.715785682963021e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2630707341218136 y1[1] (numeric) = -0.2630707341219002 absolute error = 8.659739592076221e-14 relative error = 3.291791320301852e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.837999999999908 y2[1] (analytic) = 0.9645129955837222 y2[1] (numeric) = 0.964512995583696 absolute error = 2.620126338115369e-14 relative error = 2.716527771126269e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2640353789743235 y1[1] (numeric) = -0.2640353789744102 absolute error = 8.670841822322473e-14 relative error = 3.283969692245554e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.838999999999908 y2[1] (analytic) = 0.9642484779922962 y2[1] (numeric) = 0.9642484779922699 absolute error = 2.631228568361621e-14 relative error = 2.728786851538741e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2649997597914765 y1[1] (numeric) = -0.2649997597915633 absolute error = 8.676392937445598e-14 relative error = 3.274113510243517e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.839999999999908 y2[1] (analytic) = 0.9639829961524726 y2[1] (numeric) = 0.9639829961524461 absolute error = 2.653433028854124e-14 relative error = 2.75257244105417e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2659638756088917 y1[1] (numeric) = -0.2659638756089786 absolute error = 8.68749516769185e-14 relative error = 3.26641922622119e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.840999999999908 y2[1] (analytic) = 0.9637165503297331 y2[1] (numeric) = 0.9637165503297065 absolute error = 2.664535259100376e-14 relative error = 2.764853688762232e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2669277254624536 y1[1] (numeric) = -0.2669277254625405 absolute error = 8.693046282814976e-14 relative error = 3.256704138827929e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.841999999999908 y2[1] (analytic) = 0.9634491407905237 y2[1] (numeric) = 0.9634491407904969 absolute error = 2.675637489346627e-14 relative error = 2.777144507234942e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2678913083883122 y1[1] (numeric) = -0.2678913083883992 absolute error = 8.704148513061227e-14 relative error = 3.249134346846537e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.842999999999908 y2[1] (analytic) = 0.9631807678022536 y2[1] (numeric) = 0.9631807678022268 absolute error = 2.675637489346627e-14 relative error = 2.777918308576475e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2688546234228847 y1[1] (numeric) = -0.2688546234229718 absolute error = 8.715250743307479e-14 relative error = 3.241622045531706e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.843999999999908 y2[1] (analytic) = 0.9629114316332962 y2[1] (numeric) = 0.9629114316332692 absolute error = 2.69784194983913e-14 relative error = 2.801755032924507e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2698176696028562 y1[1] (numeric) = -0.2698176696029435 absolute error = 8.720801858430605e-14 relative error = 3.232109250393692e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.844999999999908 y2[1] (analytic) = 0.9626411325529872 y2[1] (numeric) = 0.9626411325529601 absolute error = 2.708944180085382e-14 relative error = 2.814074828592754e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2707804459651806 y1[1] (numeric) = -0.270780445965268 absolute error = 8.731904088676856e-14 relative error = 3.224717374828344e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.845999999999907 y2[1] (analytic) = 0.962369870831626 y2[1] (numeric) = 0.9623698708315988 absolute error = 2.720046410331634e-14 relative error = 2.826404371929394e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2717429515470816 y1[1] (numeric) = -0.271742951547169 absolute error = 8.743006318923108e-14 relative error = 3.217381083537806e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.846999999999907 y2[1] (analytic) = 0.962097646740474 y2[1] (numeric) = 0.9620976467404467 absolute error = 2.731148640577885e-14 relative error = 2.838743707388583e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2727051853860537 y1[1] (numeric) = -0.2727051853861412 absolute error = 8.754108549169359e-14 relative error = 3.210099777448914e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.847999999999907 y2[1] (analytic) = 0.9618244605517556 y2[1] (numeric) = 0.9618244605517282 absolute error = 2.742250870824137e-14 relative error = 2.851092879516736e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2736671465198632 y1[1] (numeric) = -0.2736671465199508 absolute error = 8.759659664292485e-14 relative error = 3.200844447602224e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.848999999999907 y2[1] (analytic) = 0.9615503125386567 y2[1] (numeric) = 0.9615503125386292 absolute error = 2.753353101070388e-14 relative error = 2.863451932953011e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2746288339865489 y1[1] (numeric) = -0.2746288339866366 absolute error = 8.765210779415611e-14 relative error = 3.191657136717452e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.849999999999907 y2[1] (analytic) = 0.9612752029753255 y2[1] (numeric) = 0.9612752029752978 absolute error = 2.775557561562891e-14 relative error = 2.887370394005821e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2755902468244235 y1[1] (numeric) = -0.2755902468245113 absolute error = 8.776313009661862e-14 relative error = 3.184551380460567e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.850999999999907 y2[1] (analytic) = 0.9609991321368714 y2[1] (numeric) = 0.9609991321368435 absolute error = 2.786659791809143e-14 relative error = 2.899752662224308e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2765513840720743 y1[1] (numeric) = -0.2765513840721621 absolute error = 8.781864124784988e-14 relative error = 3.175490932454084e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.851999999999907 y2[1] (analytic) = 0.9607221002993652 y2[1] (numeric) = 0.9607221002993372 absolute error = 2.797762022055394e-14 relative error = 2.912144959696045e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.277512244768364 y1[1] (numeric) = -0.2775122447684519 absolute error = 8.79296635503124e-14 relative error = 3.168496713494793e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.852999999999907 y2[1] (analytic) = 0.9604441077398388 y2[1] (numeric) = 0.9604441077398107 absolute error = 2.808864252301646e-14 relative error = 2.924547331454398e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2784728279524321 y1[1] (numeric) = -0.2784728279525201 absolute error = 8.798517470154366e-14 relative error = 3.15956049818164e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.853999999999907 y2[1] (analytic) = 0.9601651547362847 y2[1] (numeric) = 0.9601651547362564 absolute error = 2.831068712794149e-14 relative error = 2.948522656575388e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2794331326636955 y1[1] (numeric) = -0.2794331326637835 absolute error = 8.804068585277491e-14 relative error = 3.150688861178607e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.854999999999907 y2[1] (analytic) = 0.9598852415676559 y2[1] (numeric) = 0.9598852415676274 absolute error = 2.842170943040401e-14 relative error = 2.960948684239224e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2803931579418494 y1[1] (numeric) = -0.2803931579419375 absolute error = 8.809619700400617e-14 relative error = 3.141881123300319e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.855999999999906 y2[1] (analytic) = 0.9596043685138654 y2[1] (numeric) = 0.9596043685138369 absolute error = 2.853273173286652e-14 relative error = 2.973384935403642e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2813529028268688 y1[1] (numeric) = -0.281352902826957 absolute error = 8.820721930646869e-14 relative error = 3.135109622833613e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.856999999999906 y2[1] (analytic) = 0.9593225358557865 y2[1] (numeric) = 0.9593225358557578 absolute error = 2.875477633779155e-14 relative error = 2.997404445642483e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2823123663590089 y1[1] (numeric) = -0.2823123663590971 absolute error = 8.826273045769994e-14 relative error = 3.126420978153634e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.857999999999906 y2[1] (analytic) = 0.9590397438752516 y2[1] (numeric) = 0.9590397438752227 absolute error = 2.886579864025407e-14 relative error = 3.009864692740912e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.283271547578806 y1[1] (numeric) = -0.2832715475788944 absolute error = 8.837375276016246e-14 relative error = 3.11975394336337e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.858999999999906 y2[1] (analytic) = 0.9587559928550528 y2[1] (numeric) = 0.9587559928550238 absolute error = 2.897682094271659e-14 relative error = 3.022335313537631e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2842304455270792 y1[1] (numeric) = -0.2842304455271677 absolute error = 8.848477506262498e-14 relative error = 3.113135009113401e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.859999999999906 y2[1] (analytic) = 0.958471283078941 y2[1] (numeric) = 0.9584712830789118 absolute error = 2.919886554764162e-14 relative error = 3.046399622307386e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2851890592449306 y1[1] (numeric) = -0.2851890592450191 absolute error = 8.854028621385623e-14 relative error = 3.104617212465176e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.860999999999906 y2[1] (analytic) = 0.958185614831626 y2[1] (numeric) = 0.9581856148315967 absolute error = 2.930988785010413e-14 relative error = 3.058894581218955e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2861473877737465 y1[1] (numeric) = -0.2861473877738351 absolute error = 8.859579736508749e-14 relative error = 3.096159571973419e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.861999999999906 y2[1] (analytic) = 0.9578989883987761 y2[1] (numeric) = 0.9578989883987465 absolute error = 2.953193245502916e-14 relative error = 3.082990253950967e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2871054301551985 y1[1] (numeric) = -0.2871054301552871 absolute error = 8.865130851631875e-14 relative error = 3.08776147035593e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.862999999999906 y2[1] (analytic) = 0.9576114040670175 y2[1] (numeric) = 0.9576114040669879 absolute error = 2.964295475749168e-14 relative error = 3.095509789419461e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2880631854312442 y1[1] (numeric) = -0.2880631854313329 absolute error = 8.870681966755001e-14 relative error = 3.079422298783224e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.863999999999906 y2[1] (analytic) = 0.9573228621239347 y2[1] (numeric) = 0.9573228621239049 absolute error = 2.97539770599542e-14 relative error = 3.108039955709556e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2890206526441285 y1[1] (numeric) = -0.2890206526442173 absolute error = 8.876233081878127e-14 relative error = 3.071141456734389e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.864999999999905 y2[1] (analytic) = 0.9570333628580695 y2[1] (numeric) = 0.9570333628580396 absolute error = 2.986499936241671e-14 relative error = 3.120580799109066e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2899778308363842 y1[1] (numeric) = -0.2899778308364731 absolute error = 8.887335312124378e-14 relative error = 3.064832675825804e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.865999999999905 y2[1] (analytic) = 0.9567429065589212 y2[1] (numeric) = 0.9567429065588913 absolute error = 2.997602166487923e-14 relative error = 3.133132366007581e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2909347190508333 y1[1] (numeric) = -0.2909347190509223 absolute error = 8.892886427247504e-14 relative error = 3.056660427555812e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.866999999999905 y2[1] (analytic) = 0.9564514935169461 y2[1] (numeric) = 0.9564514935169161 absolute error = 3.008704396734174e-14 relative error = 3.145694702896992e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2918913163305876 y1[1] (numeric) = -0.2918913163306766 absolute error = 8.903988657493755e-14 relative error = 3.050446573549094e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.867999999999905 y2[1] (analytic) = 0.9561591240235572 y2[1] (numeric) = 0.956159124023527 absolute error = 3.019806626980426e-14 relative error = 3.158267856372017e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2928476217190499 y1[1] (numeric) = -0.292847621719139 absolute error = 8.909539772616881e-14 relative error = 3.042380785036545e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.868999999999905 y2[1] (analytic) = 0.955865798371124 y2[1] (numeric) = 0.9558657983710936 absolute error = 3.030908857226677e-14 relative error = 3.170851873130728e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2938036342599148 y1[1] (numeric) = -0.293803634260004 absolute error = 8.920642002863133e-14 relative error = 3.036259924195302e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.869999999999905 y2[1] (analytic) = 0.955571516852972 y2[1] (numeric) = 0.9555715168529415 absolute error = 3.05311331771918e-14 relative error = 3.195065218953093e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.29475935299717 y1[1] (numeric) = -0.2947593529972592 absolute error = 8.926193117986259e-14 relative error = 3.0282985178326e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.870999999999905 y2[1] (analytic) = 0.9552762797633828 y2[1] (numeric) = 0.9552762797633522 absolute error = 3.064215547965432e-14 relative error = 3.207674693570768e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2957147769750967 y1[1] (numeric) = -0.2957147769751861 absolute error = 8.931744233109384e-14 relative error = 3.020391582887169e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.871999999999905 y2[1] (analytic) = 0.9549800873975934 y2[1] (numeric) = 0.9549800873975627 absolute error = 3.075317778211684e-14 relative error = 3.22029518604121e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2966699052382711 y1[1] (numeric) = -0.2966699052383605 absolute error = 8.93729534823251e-14 relative error = 3.012538579218037e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.872999999999905 y2[1] (analytic) = 0.9546829400517963 y2[1] (numeric) = 0.9546829400517653 absolute error = 3.097522238704187e-14 relative error = 3.244555976391629e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.297624736831565 y1[1] (numeric) = -0.2976247368316545 absolute error = 8.948397578478762e-14 relative error = 3.006604112864091e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.873999999999904 y2[1] (analytic) = 0.9543848380231387 y2[1] (numeric) = 0.9543848380231076 absolute error = 3.108624468950438e-14 relative error = 3.257202278474452e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2985792708001468 y1[1] (numeric) = -0.2985792708002364 absolute error = 8.953948693601887e-14 relative error = 2.998851417115017e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.874999999999904 y2[1] (analytic) = 0.9540857816097225 y2[1] (numeric) = 0.9540857816096913 absolute error = 3.11972669919669e-14 relative error = 3.269859754049707e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.2995335061894828 y1[1] (numeric) = -0.2995335061895724 absolute error = 8.959499808725013e-14 relative error = 2.991151114512476e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.875999999999904 y2[1] (analytic) = 0.9537857711106043 y2[1] (numeric) = 0.9537857711105728 absolute error = 3.141931159689193e-14 relative error = 3.294168622405297e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3004874420453375 y1[1] (numeric) = -0.3004874420454272 absolute error = 8.970602038971265e-14 relative error = 2.985350062522007e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.876999999999904 y2[1] (analytic) = 0.9534848068257944 y2[1] (numeric) = 0.9534848068257629 absolute error = 3.153033389935445e-14 relative error = 3.306852261686343e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3014410774137752 y1[1] (numeric) = -0.301441077413865 absolute error = 8.976153154094391e-14 relative error = 2.97774717072591e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.877999999999904 y2[1] (analytic) = 0.9531828890562571 y2[1] (numeric) = 0.9531828890562255 absolute error = 3.164135620181696e-14 relative error = 3.319547231187181e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3023944113411606 y1[1] (numeric) = -0.3023944113412505 absolute error = 8.987255384340642e-14 relative error = 2.972030913032068e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.878999999999904 y2[1] (analytic) = 0.9528800181039102 y2[1] (numeric) = 0.9528800181038785 absolute error = 3.175237850427948e-14 relative error = 3.33225357873093e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3033474428741599 y1[1] (numeric) = -0.3033474428742499 absolute error = 8.992806499463768e-14 relative error = 2.964523588614632e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.879999999999904 y2[1] (analytic) = 0.9525761942716247 y2[1] (numeric) = 0.9525761942715928 absolute error = 3.186340080674199e-14 relative error = 3.344971352250298e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3043001710597416 y1[1] (numeric) = -0.3043001710598316 absolute error = 8.998357614586894e-14 relative error = 2.957066236029258e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.880999999999904 y2[1] (analytic) = 0.9522714178632242 y2[1] (numeric) = 0.9522714178631922 absolute error = 3.197442310920451e-14 relative error = 3.35770059978814e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3052525949451776 y1[1] (numeric) = -0.3052525949452676 absolute error = 9.00390872971002e-14 relative error = 2.949658374346365e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.881999999999904 y2[1] (analytic) = 0.9519656891834852 y2[1] (numeric) = 0.9519656891834531 absolute error = 3.208544541166702e-14 relative error = 3.37044136949801e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3062047135780441 y1[1] (numeric) = -0.3062047135781342 absolute error = 9.009459844833145e-14 relative error = 2.942299528820563e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.882999999999903 y2[1] (analytic) = 0.9516590085381365 y2[1] (numeric) = 0.9516590085381041 absolute error = 3.230749001659206e-14 relative error = 3.394859894850391e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3071565260062225 y1[1] (numeric) = -0.3071565260063127 absolute error = 9.020562075079397e-14 relative error = 2.93679649017018e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.883999999999903 y2[1] (analytic) = 0.9513513762338583 y2[1] (numeric) = 0.9513513762338259 absolute error = 3.241851231905457e-14 relative error = 3.407627626228981e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3081080312779005 y1[1] (numeric) = -0.3081080312779907 absolute error = 9.026113190202523e-14 relative error = 2.929528695751961e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.884999999999903 y2[1] (analytic) = 0.9510427925782834 y2[1] (numeric) = 0.9510427925782508 absolute error = 3.26405569239796e-14 relative error = 3.432080783188613e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3090592284415729 y1[1] (numeric) = -0.3090592284416632 absolute error = 9.037215420448774e-14 relative error = 2.924104698642657e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.885999999999903 y2[1] (analytic) = 0.950733257879995 y2[1] (numeric) = 0.9507332578799623 absolute error = 3.26405569239796e-14 relative error = 3.433198181871072e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3100101165460426 y1[1] (numeric) = -0.310010116546133 absolute error = 9.0427665355719e-14 relative error = 2.91692627205889e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.886999999999903 y2[1] (analytic) = 0.950422772448528 y2[1] (numeric) = 0.9504227724484952 absolute error = 3.286260152890463e-14 relative error = 3.45768246316766e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3109606946404216 y1[1] (numeric) = -0.3109606946405121 absolute error = 9.053868765818152e-14 relative error = 2.911579798304594e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.887999999999903 y2[1] (analytic) = 0.9501113365943678 y2[1] (numeric) = 0.9501113365943348 absolute error = 3.297362383136715e-14 relative error = 3.470501041442117e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3119109617741319 y1[1] (numeric) = -0.3119109617742225 absolute error = 9.059419880941277e-14 relative error = 2.904489098238744e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.888999999999903 y2[1] (analytic) = 0.9497989506289501 y2[1] (numeric) = 0.9497989506289169 absolute error = 3.319566843629218e-14 relative error = 3.495020542432716e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3128609169969063 y1[1] (numeric) = -0.312860916996997 absolute error = 9.070522111187529e-14 relative error = 2.899218668235643e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.889999999999903 y2[1] (analytic) = 0.949485614864661 y2[1] (numeric) = 0.9494856148646277 absolute error = 3.33066907387547e-14 relative error = 3.507866808861786e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3138105593587899 y1[1] (numeric) = -0.3138105593588807 absolute error = 9.076073226310655e-14 relative error = 2.892214094024058e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.890999999999903 y2[1] (analytic) = 0.9491713296148362 y2[1] (numeric) = 0.9491713296148027 absolute error = 3.352873534367973e-14 relative error = 3.532421839720479e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3147598879101403 y1[1] (numeric) = -0.3147598879102311 absolute error = 9.087175456556906e-14 relative error = 2.887018265539341e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.891999999999902 y2[1] (analytic) = 0.9488560951937608 y2[1] (numeric) = 0.9488560951937272 absolute error = 3.363975764614224e-14 relative error = 3.545296048214018e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.315708901701629 y1[1] (numeric) = -0.3157089017017199 absolute error = 9.092726571680032e-14 relative error = 2.880098255915955e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.892999999999902 y2[1] (analytic) = 0.9485399119166693 y2[1] (numeric) = 0.9485399119166356 absolute error = 3.375077994860476e-14 relative error = 3.558182373202006e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3166575997842422 y1[1] (numeric) = -0.3166575997843332 absolute error = 9.098277686803158e-14 relative error = 2.873222589005398e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.893999999999902 y2[1] (analytic) = 0.9482227800997449 y2[1] (numeric) = 0.9482227800997111 absolute error = 3.386180225106727e-14 relative error = 3.571080864299137e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3176059812092821 y1[1] (numeric) = -0.3176059812093732 absolute error = 9.103828801926284e-14 relative error = 2.866390855507044e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.894999999999902 y2[1] (analytic) = 0.9479047000601194 y2[1] (numeric) = 0.9479047000600854 absolute error = 3.397282455352979e-14 relative error = 3.583991571238661e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3185540450283673 y1[1] (numeric) = -0.3185540450284584 absolute error = 9.114931032172535e-14 relative error = 2.861345248766453e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.895999999999902 y2[1] (analytic) = 0.9475856721158729 y2[1] (numeric) = 0.9475856721158388 absolute error = 3.408384685599231e-14 relative error = 3.596914543872974e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.319501790293434 y1[1] (numeric) = -0.3195017902935252 absolute error = 9.120482147295661e-14 relative error = 2.854595005217126e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.896999999999902 y2[1] (analytic) = 0.9472656965860332 y2[1] (numeric) = 0.9472656965859989 absolute error = 3.430589146091734e-14 relative error = 3.621570123837118e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3204492160567369 y1[1] (numeric) = -0.3204492160568282 absolute error = 9.131584377541913e-14 relative error = 2.849619821171641e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.897999999999902 y2[1] (analytic) = 0.9469447737905758 y2[1] (numeric) = 0.9469447737905414 absolute error = 3.441691376337985e-14 relative error = 3.634521749944355e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3213963213708506 y1[1] (numeric) = -0.321396321370942 absolute error = 9.142686607788164e-14 relative error = 2.844676805506639e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.898999999999902 y2[1] (analytic) = 0.9466229040504237 y2[1] (numeric) = 0.9466229040503891 absolute error = 3.463895836830488e-14 relative error = 3.659214056631338e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3223431052886696 y1[1] (numeric) = -0.3223431052887611 absolute error = 9.14823772291129e-14 relative error = 2.838043554466202e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.899999999999902 y2[1] (analytic) = 0.9463000876874463 y2[1] (numeric) = 0.9463000876874116 absolute error = 3.47499806707674e-14 relative error = 3.672194594812822e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3232895668634103 y1[1] (numeric) = -0.3232895668635018 absolute error = 9.153788838034416e-14 relative error = 2.831451978746313e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.900999999999901 y2[1] (analytic) = 0.9459763250244602 y2[1] (numeric) = 0.9459763250244253 absolute error = 3.486100297322992e-14 relative error = 3.685187678700998e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3242357051486109 y1[1] (numeric) = -0.3242357051487026 absolute error = 9.164891068280667e-14 relative error = 2.82661376361373e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.901999999999901 y2[1] (analytic) = 0.9456516163852278 y2[1] (numeric) = 0.9456516163851928 absolute error = 3.497202527569243e-14 relative error = 3.698193358921513e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3251815191981335 y1[1] (numeric) = -0.3251815191982252 absolute error = 9.170442183403793e-14 relative error = 2.820099434315094e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.902999999999901 y2[1] (analytic) = 0.9453259620944577 y2[1] (numeric) = 0.9453259620944227 absolute error = 3.508304757815495e-14 relative error = 3.711211686223574e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.326127008066164 y1[1] (numeric) = -0.3261270080662558 absolute error = 9.175993298526919e-14 relative error = 2.813625695381019e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.903999999999901 y2[1] (analytic) = 0.9449993624778045 y2[1] (numeric) = 0.9449993624777693 absolute error = 3.519406988061746e-14 relative error = 3.724242711480568e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3270721708072136 y1[1] (numeric) = -0.3270721708073054 absolute error = 9.181544413650045e-14 relative error = 2.807192183605841e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.904999999999901 y2[1] (analytic) = 0.9446718178618675 y2[1] (numeric) = 0.9446718178618321 absolute error = 3.541611448554249e-14 relative error = 3.749038958916115e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3280170064761196 y1[1] (numeric) = -0.3280170064762116 absolute error = 9.192646643896296e-14 relative error = 2.802490865535516e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.905999999999901 y2[1] (analytic) = 0.9443433285741913 y2[1] (numeric) = 0.9443433285741558 absolute error = 3.552713678800501e-14 relative error = 3.762099621294021e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3289615141280465 y1[1] (numeric) = -0.3289615141281385 absolute error = 9.198197759019422e-14 relative error = 2.796131876824677e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.906999999999901 y2[1] (analytic) = 0.9440138949432653 y2[1] (numeric) = 0.9440138949432296 absolute error = 3.563815909046752e-14 relative error = 3.775173149608074e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3299056928184868 y1[1] (numeric) = -0.3299056928185788 absolute error = 9.203748874142548e-14 relative error = 2.789812080995652e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.907999999999901 y2[1] (analytic) = 0.943683517298523 y2[1] (numeric) = 0.9436835172984872 absolute error = 3.574918139293004e-14 relative error = 3.788259595258059e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3308495416032616 y1[1] (numeric) = -0.3308495416033537 absolute error = 9.214851104388799e-14 relative error = 2.785208968322765e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.908999999999901 y2[1] (analytic) = 0.943352195970342 y2[1] (numeric) = 0.9433521959703061 absolute error = 3.597122599785507e-14 relative error = 3.813127923114091e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3317930595385224 y1[1] (numeric) = -0.3317930595386146 absolute error = 9.220402219511925e-14 relative error = 2.77896175174255e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9099999999999 y2[1] (analytic) = 0.9430199312900437 y2[1] (numeric) = 0.9430199312900076 absolute error = 3.608224830031759e-14 relative error = 3.826244504817344e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3327362456807513 y1[1] (numeric) = -0.3327362456808436 absolute error = 9.225953334635051e-14 relative error = 2.772752729646119e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9109999999999 y2[1] (analytic) = 0.9426867235898927 y2[1] (numeric) = 0.9426867235898564 absolute error = 3.630429290524262e-14 relative error = 3.85115139491839e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3336790990867624 y1[1] (numeric) = -0.3336790990868546 absolute error = 9.225953334635051e-14 relative error = 2.764917958567175e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9119999999999 y2[1] (analytic) = 0.9423525732030966 y2[1] (numeric) = 0.9423525732030602 absolute error = 3.641531520770513e-14 relative error = 3.864298378676669e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.334621618813702 y1[1] (numeric) = -0.3346216188137944 absolute error = 9.237055564881302e-14 relative error = 2.760447934484461e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9129999999999 y2[1] (analytic) = 0.9420174804638058 y2[1] (numeric) = 0.9420174804637693 absolute error = 3.652633751016765e-14 relative error = 3.877458568198094e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3355638039190508 y1[1] (numeric) = -0.3355638039191432 absolute error = 9.237055564881302e-14 relative error = 2.752697238796825e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9139999999999 y2[1] (analytic) = 0.9416814457071131 y2[1] (numeric) = 0.9416814457070765 absolute error = 3.663735981263017e-14 relative error = 3.890632015704525e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3365056534606236 y1[1] (numeric) = -0.3365056534607161 absolute error = 9.248157795127554e-14 relative error = 2.748291952904658e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9149999999999 y2[1] (analytic) = 0.9413444692690532 y2[1] (numeric) = 0.9413444692690164 absolute error = 3.68594044175552e-14 relative error = 3.915612787970831e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.337447166496571 y1[1] (numeric) = -0.3374471664966636 absolute error = 9.25370891025068e-14 relative error = 2.742268962079049e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9159999999999 y2[1] (analytic) = 0.9410065514866025 y2[1] (numeric) = 0.9410065514865655 absolute error = 3.697042672001771e-14 relative error = 3.928817143898926e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.33838834208538 y1[1] (numeric) = -0.3383883420854726 absolute error = 9.259260025373806e-14 relative error = 2.736282215962856e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9169999999999 y2[1] (analytic) = 0.9406676926976787 y2[1] (numeric) = 0.9406676926976416 absolute error = 3.708144902248023e-14 relative error = 3.942034930118286e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3393291792858752 y1[1] (numeric) = -0.3393291792859678 absolute error = 9.264811140496931e-14 relative error = 2.730331402679518e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9179999999999 y2[1] (analytic) = 0.9403278932411405 y2[1] (numeric) = 0.9403278932411033 absolute error = 3.719247132494274e-14 relative error = 3.95526619940487e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3402696771572193 y1[1] (numeric) = -0.340269677157312 absolute error = 9.270362255620057e-14 relative error = 2.724416213948076e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.918999999999899 y2[1] (analytic) = 0.9399871534567875 y2[1] (numeric) = 0.9399871534567502 absolute error = 3.730349362740526e-14 relative error = 3.968511004668763e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3412098347589146 y1[1] (numeric) = -0.3412098347590075 absolute error = 9.281464485866309e-14 relative error = 2.720163236919658e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.919999999999899 y2[1] (analytic) = 0.9396454736853593 y2[1] (numeric) = 0.9396454736853219 absolute error = 3.741451592986778e-14 relative error = 3.981769398954827e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3421496511508036 y1[1] (numeric) = -0.3421496511508965 absolute error = 9.287015600989434e-14 relative error = 2.714313917828942e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.920999999999899 y2[1] (analytic) = 0.9393028542685359 y2[1] (numeric) = 0.9393028542684982 absolute error = 3.763656053479281e-14 relative error = 4.006861084660661e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.34308912539307 y1[1] (numeric) = -0.3430891253931629 absolute error = 9.29256671611256e-14 relative error = 2.708499345604808e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.921999999999899 y2[1] (analytic) = 0.9389592955489363 y2[1] (numeric) = 0.9389592955488986 absolute error = 3.774758283725532e-14 relative error = 4.020151141396098e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3440282565462396 y1[1] (numeric) = -0.3440282565463326 absolute error = 9.298117831235686e-14 relative error = 2.702719225618597e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.922999999999899 y2[1] (analytic) = 0.9386147978701195 y2[1] (numeric) = 0.9386147978700816 absolute error = 3.785860513971784e-14 relative error = 4.033454962102196e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3449670436711813 y1[1] (numeric) = -0.3449670436712743 absolute error = 9.309220061481938e-14 relative error = 2.69858243918378e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.923999999999899 y2[1] (analytic) = 0.938269361576583 y2[1] (numeric) = 0.9382693615765451 absolute error = 3.796962744218035e-14 relative error = 4.046772600394797e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.345905485829108 y1[1] (numeric) = -0.3459054858292012 absolute error = 9.314771176605063e-14 relative error = 2.692865987446916e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.924999999999899 y2[1] (analytic) = 0.9379229870137632 y2[1] (numeric) = 0.937922987013725 absolute error = 3.819167204710538e-14 relative error = 4.071941148249622e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3468435820815778 y1[1] (numeric) = -0.346843582081671 absolute error = 9.320322291728189e-14 relative error = 2.687183149185688e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.925999999999899 y2[1] (analytic) = 0.9375756745280345 y2[1] (numeric) = 0.9375756745279962 absolute error = 3.83026943495679e-14 relative error = 4.085290967990297e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3477813314904944 y1[1] (numeric) = -0.3477813314905877 absolute error = 9.325873406851315e-14 relative error = 2.68153364267231e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.926999999999899 y2[1] (analytic) = 0.9372274244667094 y2[1] (numeric) = 0.937227424466671 absolute error = 3.841371665203042e-14 relative error = 4.098654782097116e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3487187331181084 y1[1] (numeric) = -0.3487187331182018 absolute error = 9.336975637097567e-14 relative error = 2.677509049660146e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.927999999999898 y2[1] (analytic) = 0.936878237178038 y2[1] (numeric) = 0.9368782371779993 absolute error = 3.863576125695545e-14 relative error = 4.1238828829379e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3496557860270185 y1[1] (numeric) = -0.3496557860271118 absolute error = 9.336975637097567e-14 relative error = 2.670333513764901e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.928999999999898 y2[1] (analytic) = 0.9365281130112073 y2[1] (numeric) = 0.9365281130111687 absolute error = 3.863576125695545e-14 relative error = 4.125424610344089e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3505924892801716 y1[1] (numeric) = -0.350592489280265 absolute error = 9.348077867343818e-14 relative error = 2.666365696121179e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.929999999999898 y2[1] (analytic) = 0.9361770523163419 y2[1] (numeric) = 0.936177052316303 absolute error = 3.885780586188048e-14 relative error = 4.150689847154052e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3515288419408646 y1[1] (numeric) = -0.3515288419409582 absolute error = 9.353628982466944e-14 relative error = 2.660842544476178e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.930999999999898 y2[1] (analytic) = 0.935825055444502 y2[1] (numeric) = 0.935825055444463 absolute error = 3.896882816434299e-14 relative error = 4.164114642755897e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3524648430727451 y1[1] (numeric) = -0.3524648430728387 absolute error = 9.35918009759007e-14 relative error = 2.655351386537702e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.931999999999898 y2[1] (analytic) = 0.9354721227476847 y2[1] (numeric) = 0.9354721227476456 absolute error = 3.907985046680551e-14 relative error = 4.177553720363094e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3534004917398118 y1[1] (numeric) = -0.3534004917399055 absolute error = 9.370282327836321e-14 relative error = 2.651462730486271e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.932999999999898 y2[1] (analytic) = 0.9351182545788226 y2[1] (numeric) = 0.9351182545787834 absolute error = 3.919087276926803e-14 relative error = 4.191007134912536e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3543357870064162 y1[1] (numeric) = -0.3543357870065099 absolute error = 9.370282327836321e-14 relative error = 2.644464000376752e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.933999999999898 y2[1] (analytic) = 0.9347634512917838 y2[1] (numeric) = 0.9347634512917445 absolute error = 3.930189507173054e-14 relative error = 4.204474941485764e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3552707279372632 y1[1] (numeric) = -0.3552707279373569 absolute error = 9.375833442959447e-14 relative error = 2.639067253695923e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.934999999999898 y2[1] (analytic) = 0.9344077132413717 y2[1] (numeric) = 0.9344077132413322 absolute error = 3.952393967665557e-14 relative error = 4.22983876487393e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3562053135974118 y1[1] (numeric) = -0.3562053135975056 absolute error = 9.386935673205699e-14 relative error = 2.635259866958342e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.935999999999898 y2[1] (analytic) = 0.9340510407833242 y2[1] (numeric) = 0.9340510407832846 absolute error = 3.963496197911809e-14 relative error = 4.243340058363296e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3571395430522765 y1[1] (numeric) = -0.3571395430523704 absolute error = 9.392486788328824e-14 relative error = 2.629920704959292e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.936999999999897 y2[1] (analytic) = 0.9336934342743137 y2[1] (numeric) = 0.933693434274274 absolute error = 3.97459842815806e-14 relative error = 4.256855925357559e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3580734153676279 y1[1] (numeric) = -0.3580734153677219 absolute error = 9.39803790345195e-14 relative error = 2.624612020918432e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.937999999999897 y2[1] (analytic) = 0.9333348940719468 y2[1] (numeric) = 0.933334894071907 absolute error = 3.985700658404312e-14 relative error = 4.27038642155071e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3590069296095937 y1[1] (numeric) = -0.3590069296096878 absolute error = 9.409140133698202e-14 relative error = 2.620879809738013e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.938999999999897 y2[1] (analytic) = 0.9329754205347636 y2[1] (numeric) = 0.9329754205347236 absolute error = 3.996802888650564e-14 relative error = 4.283931602785069e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3599400848446599 y1[1] (numeric) = -0.3599400848447541 absolute error = 9.414691248821327e-14 relative error = 2.615627335000614e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.939999999999897 y2[1] (analytic) = 0.9326150140222376 y2[1] (numeric) = 0.9326150140221975 absolute error = 4.007905118896815e-14 relative error = 4.297491525051997e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3608728801396713 y1[1] (numeric) = -0.3608728801397655 absolute error = 9.420242363944453e-14 relative error = 2.610404627884054e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.940999999999897 y2[1] (analytic) = 0.9322536748947753 y2[1] (numeric) = 0.932253674894735 absolute error = 4.030109579389318e-14 relative error = 4.322975267267466e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3618053145618326 y1[1] (numeric) = -0.3618053145619268 absolute error = 9.425793479067579e-14 relative error = 2.605211449279778e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.941999999999897 y2[1] (analytic) = 0.9318914035137158 y2[1] (numeric) = 0.9318914035136753 absolute error = 4.052314039881821e-14 relative error = 4.348483122177635e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3627373871787094 y1[1] (numeric) = -0.3627373871788038 absolute error = 9.436895709313831e-14 relative error = 2.601577902601081e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.942999999999897 y2[1] (analytic) = 0.9315282002413304 y2[1] (numeric) = 0.9315282002412898 absolute error = 4.063416270128073e-14 relative error = 4.362096895268835e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3636690970582293 y1[1] (numeric) = -0.3636690970583237 absolute error = 9.442446824436956e-14 relative error = 2.596439153290242e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.943999999999897 y2[1] (analytic) = 0.9311640654408224 y2[1] (numeric) = 0.9311640654407817 absolute error = 4.074518500374325e-14 relative error = 4.37572566596565e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3646004432686825 y1[1] (numeric) = -0.3646004432687769 absolute error = 9.447997939560082e-14 relative error = 2.591329252059531e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.944999999999897 y2[1] (analytic) = 0.9307989994763266 y2[1] (numeric) = 0.9307989994762857 absolute error = 4.085620730620576e-14 relative error = 4.38936949107076e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3655314248787228 y1[1] (numeric) = -0.3655314248788173 absolute error = 9.453549054683208e-14 relative error = 2.586247969738782e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.945999999999896 y2[1] (analytic) = 0.9304330027129089 y2[1] (numeric) = 0.9304330027128679 absolute error = 4.096722960866828e-14 relative error = 4.403028427540524e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3664620409573686 y1[1] (numeric) = -0.3664620409574632 absolute error = 9.459100169806334e-14 relative error = 2.581195079603547e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.946999999999896 y2[1] (analytic) = 0.9300660755165659 y2[1] (numeric) = 0.9300660755165249 absolute error = 4.107825191113079e-14 relative error = 4.416702532485728e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3673922905740041 y1[1] (numeric) = -0.3673922905740987 absolute error = 9.46465128492946e-14 relative error = 2.576170357342593e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.947999999999896 y2[1] (analytic) = 0.9296982182542251 y2[1] (numeric) = 0.9296982182541838 absolute error = 4.130029651605582e-14 relative error = 4.44233362021592e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3683221727983795 y1[1] (numeric) = -0.3683221727984743 absolute error = 9.475753515175711e-14 relative error = 2.572680716770956e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.948999999999896 y2[1] (analytic) = 0.9293294312937433 y2[1] (numeric) = 0.9293294312937019 absolute error = 4.141131881851834e-14 relative error = 4.456042972928187e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3692516867006129 y1[1] (numeric) = -0.3692516867007077 absolute error = 9.481304630298837e-14 relative error = 2.567707872919271e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.949999999999896 y2[1] (analytic) = 0.9289597150039077 y2[1] (numeric) = 0.9289597150038662 absolute error = 4.152234112098085e-14 relative error = 4.469767682100853e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3701808313511903 y1[1] (numeric) = -0.3701808313512853 absolute error = 9.492406860545088e-14 relative error = 2.564262127214158e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.950999999999896 y2[1] (analytic) = 0.9285890697544347 y2[1] (numeric) = 0.9285890697543929 absolute error = 4.174438572590589e-14 relative error = 4.49546382631288e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3711096058209673 y1[1] (numeric) = -0.3711096058210623 absolute error = 9.497957975668214e-14 relative error = 2.559340374565855e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.951999999999896 y2[1] (analytic) = 0.9282174959159691 y2[1] (numeric) = 0.9282174959159273 absolute error = 4.18554080283684e-14 relative error = 4.509224207960581e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3720380091811694 y1[1] (numeric) = -0.3720380091812644 absolute error = 9.50350909079134e-14 relative error = 2.554445743785138e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.952999999999896 y2[1] (analytic) = 0.927844993860085 y2[1] (numeric) = 0.927844993860043 absolute error = 4.196643033083092e-14 relative error = 4.523000135641112e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3729660405033932 y1[1] (numeric) = -0.3729660405034883 absolute error = 9.509060205914466e-14 relative error = 2.549578024068911e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.953999999999896 y2[1] (analytic) = 0.9274715639592844 y2[1] (numeric) = 0.9274715639592422 absolute error = 4.218847493575595e-14 relative error = 4.548762094188367e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3738936988596077 y1[1] (numeric) = -0.3738936988597028 absolute error = 9.514611321037592e-14 relative error = 2.544737006817065e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.954999999999895 y2[1] (analytic) = 0.9270972065869971 y2[1] (numeric) = 0.9270972065869548 absolute error = 4.229949723821846e-14 relative error = 4.562574122506447e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3748209833221544 y1[1] (numeric) = -0.3748209833222496 absolute error = 9.520162436160717e-14 relative error = 2.539922485603813e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.955999999999895 y2[1] (analytic) = 0.9267219221175805 y2[1] (numeric) = 0.926721922117538 absolute error = 4.25215418431435e-14 relative error = 4.588381997695793e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3757478929637491 y1[1] (numeric) = -0.3757478929638443 absolute error = 9.525713551283843e-14 relative error = 2.535134256149469e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.956999999999895 y2[1] (analytic) = 0.926345710926319 y2[1] (numeric) = 0.9263457109262764 absolute error = 4.263256414560601e-14 relative error = 4.602230424640783e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3766744268574821 y1[1] (numeric) = -0.3766744268575773 absolute error = 9.525713551283843e-14 relative error = 2.528898399276778e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.957999999999895 y2[1] (analytic) = 0.9259685733894237 y2[1] (numeric) = 0.925968573389381 absolute error = 4.274358644806853e-14 relative error = 4.616094722481727e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3776005840768196 y1[1] (numeric) = -0.3776005840769149 absolute error = 9.531264666406969e-14 relative error = 2.52416576359636e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.958999999999895 y2[1] (analytic) = 0.9255905098840324 y2[1] (numeric) = 0.9255905098839894 absolute error = 4.296563105299356e-14 relative error = 4.641969704116428e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3785263636956046 y1[1] (numeric) = -0.3785263636956999 absolute error = 9.536815781530095e-14 relative error = 2.519458800285629e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.959999999999895 y2[1] (analytic) = 0.9252115207882081 y2[1] (numeric) = 0.925211520788165 absolute error = 4.307665335545607e-14 relative error = 4.655870834677688e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3794517647880573 y1[1] (numeric) = -0.3794517647881527 absolute error = 9.54236689665322e-14 relative error = 2.514777313523132e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.960999999999895 y2[1] (analytic) = 0.9248316064809402 y2[1] (numeric) = 0.924831606480897 absolute error = 4.318767565791859e-14 relative error = 4.669788030088118e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3803767864287769 y1[1] (numeric) = -0.3803767864288724 absolute error = 9.547918011776346e-14 relative error = 2.510121109497341e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.961999999999895 y2[1] (analytic) = 0.9244507673421429 y2[1] (numeric) = 0.9244507673420995 absolute error = 4.340972026284362e-14 relative error = 4.695730891938079e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3813014276927418 y1[1] (numeric) = -0.3813014276928374 absolute error = 9.559020242022598e-14 relative error = 2.506945830196417e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.962999999999895 y2[1] (analytic) = 0.9240690037526552 y2[1] (numeric) = 0.9240690037526118 absolute error = 4.340972026284362e-14 relative error = 4.69767085429294e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3822256876553108 y1[1] (numeric) = -0.3822256876554064 absolute error = 9.559020242022598e-14 relative error = 2.500883784305694e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.963999999999894 y2[1] (analytic) = 0.9236863160942409 y2[1] (numeric) = 0.9236863160941973 absolute error = 4.363176486776865e-14 relative error = 4.723656084054951e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3831495653922239 y1[1] (numeric) = -0.3831495653923196 absolute error = 9.564571357145724e-14 relative error = 2.496302285337223e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.964999999999894 y2[1] (analytic) = 0.9233027047495874 y2[1] (numeric) = 0.9233027047495437 absolute error = 4.374278717023117e-14 relative error = 4.737643131035213e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3840730599796036 y1[1] (numeric) = -0.3840730599796994 absolute error = 9.575673587391975e-14 relative error = 2.493190641358833e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.965999999999894 y2[1] (analytic) = 0.9229181701023061 y2[1] (numeric) = 0.9229181701022622 absolute error = 4.39648317751562e-14 relative error = 4.763676044029198e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3849961704939553 y1[1] (numeric) = -0.3849961704940512 absolute error = 9.581224702515101e-14 relative error = 2.488654546932833e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.966999999999894 y2[1] (analytic) = 0.9225327125369317 y2[1] (numeric) = 0.9225327125368875 absolute error = 4.418687638008123e-14 relative error = 4.789735451068062e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3859188960121687 y1[1] (numeric) = -0.3859188960122645 absolute error = 9.586775817638227e-14 relative error = 2.484142631185372e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.967999999999894 y2[1] (analytic) = 0.9221463324389215 y2[1] (numeric) = 0.9221463324388772 absolute error = 4.429789868254375e-14 relative error = 4.803781907951992e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3868412356115181 y1[1] (numeric) = -0.386841235611614 absolute error = 9.592326932761353e-14 relative error = 2.479654713541025e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.968999999999894 y2[1] (analytic) = 0.9217590301946558 y2[1] (numeric) = 0.9217590301946114 absolute error = 4.440892098500626e-14 relative error = 4.817844960588892e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3877631883696642 y1[1] (numeric) = -0.3877631883697602 absolute error = 9.597878047884478e-14 relative error = 2.475190615240812e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.969999999999894 y2[1] (analytic) = 0.9213708061914366 y2[1] (numeric) = 0.9213708061913921 absolute error = 4.451994328746878e-14 relative error = 4.831924670100596e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3886847533646542 y1[1] (numeric) = -0.3886847533647503 absolute error = 9.603429163007604e-14 relative error = 2.470750159319449e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.970999999999894 y2[1] (analytic) = 0.9209816608174881 y2[1] (numeric) = 0.9209816608174435 absolute error = 4.463096558993129e-14 relative error = 4.846021097783386e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3896059296749233 y1[1] (numeric) = -0.3896059296750194 absolute error = 9.60898027813073e-14 relative error = 2.466333170582954e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.971999999999894 y2[1] (analytic) = 0.9205915944619555 y2[1] (numeric) = 0.9205915944619107 absolute error = 4.474198789239381e-14 relative error = 4.860134305108825e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3905267163792951 y1[1] (numeric) = -0.3905267163793913 absolute error = 9.614531393253856e-14 relative error = 2.461939475586566e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.972999999999894 y2[1] (analytic) = 0.9202006075149052 y2[1] (numeric) = 0.9202006075148602 absolute error = 4.496403249731884e-14 relative error = 4.886329364501156e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3914471125569832 y1[1] (numeric) = -0.3914471125570794 absolute error = 9.620082508376981e-14 relative error = 2.457568902613014e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.973999999999893 y2[1] (analytic) = 0.919808700367324 y2[1] (numeric) = 0.9198087003672789 absolute error = 4.507505479978136e-14 relative error = 4.900481456826915e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3923671172875912 y1[1] (numeric) = -0.3923671172876875 absolute error = 9.631184738623233e-14 relative error = 2.454636057476732e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.974999999999893 y2[1] (analytic) = 0.9194158734111191 y2[1] (numeric) = 0.9194158734110739 absolute error = 4.518607710224387e-14 relative error = 4.914650530733094e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3932867296511147 y1[1] (numeric) = -0.3932867296512111 absolute error = 9.636735853746359e-14 relative error = 2.450307912065867e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.975999999999893 y2[1] (analytic) = 0.9190221270391175 y2[1] (numeric) = 0.919022127039072 absolute error = 4.54081217071689e-14 relative error = 4.940917130413786e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3942059487279413 y1[1] (numeric) = -0.3942059487280378 absolute error = 9.64783808399261e-14 relative error = 2.447410576914202e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.976999999999893 y2[1] (analytic) = 0.9186274616450653 y2[1] (numeric) = 0.9186274616450197 absolute error = 4.551914400963142e-14 relative error = 4.95512554437643e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3951247735988521 y1[1] (numeric) = -0.3951247735989485 absolute error = 9.64783808399261e-14 relative error = 2.441719357690165e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.977999999999893 y2[1] (analytic) = 0.9182318776236281 y2[1] (numeric) = 0.9182318776235824 absolute error = 4.574118861455645e-14 relative error = 4.981442022349958e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3960432033450221 y1[1] (numeric) = -0.3960432033451187 absolute error = 9.658940314238862e-14 relative error = 2.438860263895062e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.978999999999893 y2[1] (analytic) = 0.9178353753703897 y2[1] (numeric) = 0.9178353753703439 absolute error = 4.585221091701897e-14 relative error = 4.995690092955444e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3969612370480218 y1[1] (numeric) = -0.3969612370481184 absolute error = 9.658940314238862e-14 relative error = 2.433220025730216e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.979999999999893 y2[1] (analytic) = 0.9174379552818526 y2[1] (numeric) = 0.9174379552818065 absolute error = 4.6074255521944e-14 relative error = 5.02205683301921e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3978788737898176 y1[1] (numeric) = -0.3978788737899142 absolute error = 9.664491429361988e-14 relative error = 2.429003414357538e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.980999999999893 y2[1] (analytic) = 0.9170396177554365 y2[1] (numeric) = 0.9170396177553903 absolute error = 4.618527782440651e-14 relative error = 5.036344878692425e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3987961126527727 y1[1] (numeric) = -0.3987961126528694 absolute error = 9.670042544485113e-14 relative error = 2.424808627185569e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.981999999999893 y2[1] (analytic) = 0.9166403631894791 y2[1] (numeric) = 0.9166403631894328 absolute error = 4.629630012686903e-14 relative error = 5.050650395295663e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.3997129527196484 y1[1] (numeric) = -0.3997129527197452 absolute error = 9.675593659608239e-14 relative error = 2.420635506999577e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.982999999999892 y2[1] (analytic) = 0.9162401919832349 y2[1] (numeric) = 0.9162401919831884 absolute error = 4.651834473179406e-14 relative error = 5.077090607769937e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4006293930736047 y1[1] (numeric) = -0.4006293930737015 absolute error = 9.681144774731365e-14 relative error = 2.416483898112967e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.983999999999892 y2[1] (analytic) = 0.9158391045368751 y2[1] (numeric) = 0.9158391045368285 absolute error = 4.662936703425657e-14 relative error = 5.091436563831404e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4015454327982013 y1[1] (numeric) = -0.4015454327982981 absolute error = 9.686695889854491e-14 relative error = 2.412353646348803e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.984999999999892 y2[1] (analytic) = 0.915437101251487 y2[1] (numeric) = 0.9154371012514403 absolute error = 4.674038933671909e-14 relative error = 5.105800198923625e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4024610709773985 y1[1] (numeric) = -0.4024610709774954 absolute error = 9.692247004977617e-14 relative error = 2.408244599021582e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.985999999999892 y2[1] (analytic) = 0.9150341825290741 y2[1] (numeric) = 0.9150341825290271 absolute error = 4.696243394164412e-14 relative error = 5.132314708926401e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4033763066955584 y1[1] (numeric) = -0.4033763066956553 absolute error = 9.697798120100742e-14 relative error = 2.404156604919286e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.986999999999892 y2[1] (analytic) = 0.9146303487725548 y2[1] (numeric) = 0.9146303487725077 absolute error = 4.707345624410664e-14 relative error = 5.146719251911966e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4042911390374451 y1[1] (numeric) = -0.4042911390375421 absolute error = 9.697798120100742e-14 relative error = 2.398716465364466e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.987999999999892 y2[1] (analytic) = 0.9142256003857629 y2[1] (numeric) = 0.9142256003857158 absolute error = 4.718447854656915e-14 relative error = 5.161141683919088e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4052055670882265 y1[1] (numeric) = -0.4052055670883236 absolute error = 9.708900350346994e-14 relative error = 2.396043178802884e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.988999999999892 y2[1] (analytic) = 0.9138199377734469 y2[1] (numeric) = 0.9138199377733995 absolute error = 4.740652315149418e-14 relative error = 5.187731323416053e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4061195899334746 y1[1] (numeric) = -0.4061195899335717 absolute error = 9.708900350346994e-14 relative error = 2.390650584458973e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.989999999999892 y2[1] (analytic) = 0.9134133613412693 y2[1] (numeric) = 0.9134133613412218 absolute error = 4.75175454539567e-14 relative error = 5.202195135856263e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4070332066591665 y1[1] (numeric) = -0.4070332066592637 absolute error = 9.71445146547012e-14 relative error = 2.386648388028109e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.990999999999892 y2[1] (analytic) = 0.9130058714958065 y2[1] (numeric) = 0.9130058714957587 absolute error = 4.773959005888173e-14 relative error = 5.228837135589112e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4079464163516858 y1[1] (numeric) = -0.407946416351783 absolute error = 9.71445146547012e-14 relative error = 2.381305749011754e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.991999999999891 y2[1] (analytic) = 0.9125974686445482 y2[1] (numeric) = 0.9125974686445003 absolute error = 4.785061236134425e-14 relative error = 5.243342657131761e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4088592180978227 y1[1] (numeric) = -0.4088592180979199 absolute error = 9.720002580593246e-14 relative error = 2.377347055011894e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.992999999999891 y2[1] (analytic) = 0.9121881531958973 y2[1] (numeric) = 0.9121881531958492 absolute error = 4.807265696626928e-14 relative error = 5.270037414742156e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4097716109847755 y1[1] (numeric) = -0.4097716109848729 absolute error = 9.731104810839497e-14 relative error = 2.374763050923272e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.993999999999891 y2[1] (analytic) = 0.9117779255591693 y2[1] (numeric) = 0.911777925559121 absolute error = 4.829470157119431e-14 relative error = 5.296761439094552e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4106835941001516 y1[1] (numeric) = -0.410683594100249 absolute error = 9.736655925962623e-14 relative error = 2.370841218358527e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.994999999999891 y2[1] (analytic) = 0.9113667861445915 y2[1] (numeric) = 0.9113667861445431 absolute error = 4.840572387365683e-14 relative error = 5.311332891385081e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4115951665319678 y1[1] (numeric) = -0.4115951665320652 absolute error = 9.742207041085749e-14 relative error = 2.366939126902767e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.995999999999891 y2[1] (analytic) = 0.9109547353633037 y2[1] (numeric) = 0.9109547353632551 absolute error = 4.862776847858186e-14 relative error = 5.338110291417312e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4125063273686517 y1[1] (numeric) = -0.4125063273687491 absolute error = 9.747758156208874e-14 relative error = 2.363056639249421e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.996999999999891 y2[1] (analytic) = 0.9105417736273564 y2[1] (numeric) = 0.9105417736273077 absolute error = 4.873879078104437e-14 relative error = 5.352724300268178e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4134170756990426 y1[1] (numeric) = -0.4134170756991401 absolute error = 9.753309271332e-14 relative error = 2.359193619383097e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.997999999999891 y2[1] (analytic) = 0.9101279013497114 y2[1] (numeric) = 0.9101279013496625 absolute error = 4.89608353859694e-14 relative error = 5.379555479329985e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4143274106123923 y1[1] (numeric) = -0.4143274106124898 absolute error = 9.758860386455126e-14 relative error = 2.355349932564477e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.998999999999891 y2[1] (analytic) = 0.9097131189442409 y2[1] (numeric) = 0.9097131189441918 absolute error = 4.907185768843192e-14 relative error = 5.39421238042404e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4152373311983659 y1[1] (numeric) = -0.4152373311984635 absolute error = 9.764411501578252e-14 relative error = 2.351525445315423e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.999999999999891 y2[1] (analytic) = 0.9092974268257272 y2[1] (numeric) = 0.909297426825678 absolute error = 4.918287999089443e-14 relative error = 5.408888064556313e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4161468365470429 y1[1] (numeric) = -0.4161468365471406 absolute error = 9.769962616701378e-14 relative error = 2.347720025404288e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.000999999999891 y2[1] (analytic) = 0.9088808254098625 y2[1] (numeric) = 0.9088808254098132 absolute error = 4.929390229335695e-14 relative error = 5.423582599085828e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4170559257489182 y1[1] (numeric) = -0.4170559257490157 absolute error = 9.753309271332e-14 relative error = 2.33860944520036e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.001999999999891 y2[1] (analytic) = 0.9084633151132481 y2[1] (numeric) = 0.9084633151131987 absolute error = 4.940492459581947e-14 relative error = 5.438296051575919e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4179645978949023 y1[1] (numeric) = -0.4179645978949999 absolute error = 9.758860386455126e-14 relative error = 2.334853342987916e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00299999999989 y2[1] (analytic) = 0.9080448963533942 y2[1] (numeric) = 0.9080448963533447 absolute error = 4.951594689828198e-14 relative error = 5.453028489795211e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4188728520763234 y1[1] (numeric) = -0.418872852076421 absolute error = 9.758860386455126e-14 relative error = 2.329790612612189e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00399999999989 y2[1] (analytic) = 0.9076255695487198 y2[1] (numeric) = 0.9076255695486701 absolute error = 4.96269692007445e-14 relative error = 5.467779981718619e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4197806873849273 y1[1] (numeric) = -0.4197806873850249 absolute error = 9.764411501578252e-14 relative error = 2.326074494376287e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00499999999989 y2[1] (analytic) = 0.9072053351185514 y2[1] (numeric) = 0.9072053351185015 absolute error = 4.984901380566953e-14 relative error = 5.494788431679073e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4206881029128788 y1[1] (numeric) = -0.4206881029129765 absolute error = 9.769962616701378e-14 relative error = 2.322376732085685e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00599999999989 y2[1] (analytic) = 0.9067841934831234 y2[1] (numeric) = 0.9067841934830735 absolute error = 4.996003610813204e-14 relative error = 5.509583919435829e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4215950977527624 y1[1] (numeric) = -0.4215950977528602 absolute error = 9.775513731824503e-14 relative error = 2.318697201160815e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00699999999989 y2[1] (analytic) = 0.9063621450635776 y2[1] (numeric) = 0.9063621450635275 absolute error = 5.007105841059456e-14 relative error = 5.524398683605909e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4225016709975835 y1[1] (numeric) = -0.4225016709976813 absolute error = 9.781064846947629e-14 relative error = 2.315035778167034e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00799999999989 y2[1] (analytic) = 0.9059391902819622 y2[1] (numeric) = 0.9059391902819121 absolute error = 5.018208071305708e-14 relative error = 5.539232793035318e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4234078217407687 y1[1] (numeric) = -0.4234078217408666 absolute error = 9.786615962070755e-14 relative error = 2.311392340801537e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00899999999989 y2[1] (analytic) = 0.9055153295612322 y2[1] (numeric) = 0.9055153295611817 absolute error = 5.040412531798211e-14 relative error = 5.566346992977518e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4243135490761675 y1[1] (numeric) = -0.4243135490762654 absolute error = 9.792167077193881e-14 relative error = 2.307766767880446e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00999999999989 y2[1] (analytic) = 0.9050905633252478 y2[1] (numeric) = 0.9050905633251973 absolute error = 5.051514762044462e-14 relative error = 5.581225754343857e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4252188520980525 y1[1] (numeric) = -0.4252188520981505 absolute error = 9.803269307440132e-14 relative error = 2.305464411812947e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.01099999999989 y2[1] (analytic) = 0.9046648919987758 y2[1] (numeric) = 0.904664891998725 absolute error = 5.073719222536965e-14 relative error = 5.608396288405798e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4261237299011209 y1[1] (numeric) = -0.426123729901219 absolute error = 9.808820422563258e-14 relative error = 2.301871436457981e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.011999999999889 y2[1] (analytic) = 0.9042383160074869 y2[1] (numeric) = 0.9042383160074361 absolute error = 5.084821452783217e-14 relative error = 5.623320050442449e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4270281815804949 y1[1] (numeric) = -0.427028181580593 absolute error = 9.808820422563258e-14 relative error = 2.296996040462564e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.012999999999889 y2[1] (analytic) = 0.9038108357779575 y2[1] (numeric) = 0.9038108357779066 absolute error = 5.095923683029469e-14 relative error = 5.638263540670144e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.427932206231723 y1[1] (numeric) = -0.4279322062318211 absolute error = 9.814371537686384e-14 relative error = 2.293440735416851e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.013999999999889 y2[1] (analytic) = 0.9033824517376676 y2[1] (numeric) = 0.9033824517376166 absolute error = 5.10702591327572e-14 relative error = 5.653226829292833e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4288358029507804 y1[1] (numeric) = -0.4288358029508786 absolute error = 9.81992265280951e-14 relative error = 2.289902705240446e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.014999999999889 y2[1] (analytic) = 0.9029531643150014 y2[1] (numeric) = 0.9029531643149501 absolute error = 5.129230373768223e-14 relative error = 5.680505453081126e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4297389708340706 y1[1] (numeric) = -0.4297389708341688 absolute error = 9.825473767932635e-14 relative error = 2.286381835201633e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.015999999999889 y2[1] (analytic) = 0.902522973939246 y2[1] (numeric) = 0.9025229739391946 absolute error = 5.140332604014475e-14 relative error = 5.695514410650892e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4306417089784258 y1[1] (numeric) = -0.4306417089785241 absolute error = 9.831024883055761e-14 relative error = 2.282878011602047e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.016999999999889 y2[1] (analytic) = 0.9020918810405918 y2[1] (numeric) = 0.9020918810405403 absolute error = 5.151434834260726e-14 relative error = 5.71054339644248e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4315440164811079 y1[1] (numeric) = -0.4315440164812063 absolute error = 9.836575998178887e-14 relative error = 2.279391121765099e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.017999999999889 y2[1] (analytic) = 0.9016598860501318 y2[1] (numeric) = 0.9016598860500801 absolute error = 5.173639294753229e-14 relative error = 5.73790558368655e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4324458924398095 y1[1] (numeric) = -0.4324458924399079 absolute error = 9.836575998178887e-14 relative error = 2.274637398607735e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.018999999999889 y2[1] (analytic) = 0.9012269893998609 y2[1] (numeric) = 0.9012269893998091 absolute error = 5.184741524999481e-14 relative error = 5.75298075399636e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4333473359526547 y1[1] (numeric) = -0.4333473359527531 absolute error = 9.842127113302013e-14 relative error = 2.271186712539826e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.019999999999889 y2[1] (analytic) = 0.9007931915226757 y2[1] (numeric) = 0.9007931915226237 absolute error = 5.195843755245733e-14 relative error = 5.768076184571093e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4342483461182001 y1[1] (numeric) = -0.4342483461182985 absolute error = 9.842127113302013e-14 relative error = 2.266474288568284e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.020999999999888 y2[1] (analytic) = 0.900358492852374 y2[1] (numeric) = 0.9003584928523219 absolute error = 5.206945985491984e-14 relative error = 5.78319194723888e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4351489220354355 y1[1] (numeric) = -0.435148922035534 absolute error = 9.847678228425139e-14 relative error = 2.263059318258684e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.021999999999888 y2[1] (analytic) = 0.8999228938236545 y2[1] (numeric) = 0.8999228938236024 absolute error = 5.218048215738236e-14 relative error = 5.798328114053674e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4360490628037851 y1[1] (numeric) = -0.4360490628038837 absolute error = 9.853229343548264e-14 relative error = 2.259660708864327e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.022999999999888 y2[1] (analytic) = 0.8994863948721162 y2[1] (numeric) = 0.8994863948720638 absolute error = 5.240252676230739e-14 relative error = 5.825827612407376e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4369487675231083 y1[1] (numeric) = -0.4369487675232069 absolute error = 9.85878045867139e-14 relative error = 2.25627835376604e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.023999999999888 y2[1] (analytic) = 0.8990489964342581 y2[1] (numeric) = 0.8990489964342054 absolute error = 5.262457136723242e-14 relative error = 5.853359669600669e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4378480352937004 y1[1] (numeric) = -0.437848035293799 absolute error = 9.864331573794516e-14 relative error = 2.252912147288204e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.024999999999888 y2[1] (analytic) = 0.8986106989474782 y2[1] (numeric) = 0.8986106989474255 absolute error = 5.273559366969494e-14 relative error = 5.868569529771113e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4387468652162936 y1[1] (numeric) = -0.4387468652163923 absolute error = 9.869882688917642e-14 relative error = 2.249561984688365e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.025999999999888 y2[1] (analytic) = 0.8981715028500745 y2[1] (numeric) = 0.8981715028500216 absolute error = 5.295763827461997e-14 relative error = 5.896161045699511e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4396452563920583 y1[1] (numeric) = -0.439645256392157 absolute error = 9.875433804040767e-14 relative error = 2.246227762146999e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.026999999999888 y2[1] (analytic) = 0.8977314085812427 y2[1] (numeric) = 0.8977314085811896 absolute error = 5.306866057708248e-14 relative error = 5.911418501102815e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4405432079226031 y1[1] (numeric) = -0.4405432079227019 absolute error = 9.880984919163893e-14 relative error = 2.242909376757395e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.027999999999888 y2[1] (analytic) = 0.8972904165810771 y2[1] (numeric) = 0.8972904165810238 absolute error = 5.329070518200751e-14 relative error = 5.939069915073844e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4414407189099768 y1[1] (numeric) = -0.4414407189100756 absolute error = 9.880984919163893e-14 relative error = 2.238349226949979e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.028999999999888 y2[1] (analytic) = 0.8968485272905697 y2[1] (numeric) = 0.8968485272905162 absolute error = 5.351274978693255e-14 relative error = 5.966754491820107e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4423377884566683 y1[1] (numeric) = -0.4423377884567671 absolute error = 9.886536034287019e-14 relative error = 2.235064760978591e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.029999999999887 y2[1] (analytic) = 0.8964057411516098 y2[1] (numeric) = 0.8964057411515561 absolute error = 5.362377208939506e-14 relative error = 5.982087087093481e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4432344156656082 y1[1] (numeric) = -0.4432344156657071 absolute error = 9.892087149410145e-14 relative error = 2.231795817243823e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.030999999999887 y2[1] (analytic) = 0.8959620586069834 y2[1] (numeric) = 0.8959620586069296 absolute error = 5.384581669432009e-14 relative error = 6.009832244240125e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4441305996401694 y1[1] (numeric) = -0.4441305996402684 absolute error = 9.897638264533271e-14 relative error = 2.228542296466906e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.031999999999887 y2[1] (analytic) = 0.8955174801003731 y2[1] (numeric) = 0.8955174801003191 absolute error = 5.406786129924512e-14 relative error = 6.037610934538652e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.445026339484168 y1[1] (numeric) = -0.445026339484267 absolute error = 9.897638264533271e-14 relative error = 2.224056732463446e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.032999999999887 y2[1] (analytic) = 0.8950720060763573 y2[1] (numeric) = 0.8950720060763031 absolute error = 5.417888360170764e-14 relative error = 6.053019559756595e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4459216343018641 y1[1] (numeric) = -0.4459216343019632 absolute error = 9.908740494779522e-14 relative error = 2.222081130980036e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.033999999999887 y2[1] (analytic) = 0.89462563698041 y2[1] (numeric) = 0.8946256369803557 absolute error = 5.428990590417015e-14 relative error = 6.068449601714126e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4468164831979631 y1[1] (numeric) = -0.4468164831980623 absolute error = 9.914291609902648e-14 relative error = 2.218873291993146e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.034999999999887 y2[1] (analytic) = 0.8941783732589003 y2[1] (numeric) = 0.8941783732588457 absolute error = 5.451195050909519e-14 relative error = 6.096317260550855e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4477108852776162 y1[1] (numeric) = -0.4477108852777154 absolute error = 9.919842725025774e-14 relative error = 2.215680487391922e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.035999999999887 y2[1] (analytic) = 0.8937302153590918 y2[1] (numeric) = 0.8937302153590371 absolute error = 5.473399511402022e-14 relative error = 6.124218939160365e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4486048396464213 y1[1] (numeric) = -0.4486048396465205 absolute error = 9.919842725025774e-14 relative error = 2.211265204549361e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.036999999999887 y2[1] (analytic) = 0.8932811637291425 y2[1] (numeric) = 0.8932811637290876 absolute error = 5.484501741648273e-14 relative error = 6.139726173954413e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4494983454104242 y1[1] (numeric) = -0.4494983454105234 absolute error = 9.925393840148899e-14 relative error = 2.208104644097478e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.037999999999887 y2[1] (analytic) = 0.8928312188181038 y2[1] (numeric) = 0.8928312188180488 absolute error = 5.495603971894525e-14 relative error = 6.155255165886109e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.450391401676119 y1[1] (numeric) = -0.4503914016762183 absolute error = 9.930944955272025e-14 relative error = 2.204958824327971e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.038999999999886 y2[1] (analytic) = 0.8923803810759208 y2[1] (numeric) = 0.8923803810758656 absolute error = 5.517808432387028e-14 relative error = 6.183247132500094e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4512840075504498 y1[1] (numeric) = -0.4512840075505491 absolute error = 9.930944955272025e-14 relative error = 2.2005975813716e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.039999999999886 y2[1] (analytic) = 0.891928650953431 y2[1] (numeric) = 0.8919286509533757 absolute error = 5.52891066263328e-14 relative error = 6.198826169249218e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4521761621408106 y1[1] (numeric) = -0.4521761621409099 absolute error = 9.936496070395151e-14 relative error = 2.197483393054422e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.040999999999886 y2[1] (analytic) = 0.8914760289023647 y2[1] (numeric) = 0.8914760289023091 absolute error = 5.551115123125783e-14 relative error = 6.226880973973722e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4530678645550469 y1[1] (numeric) = -0.4530678645551463 absolute error = 9.942047185518277e-14 relative error = 2.194383659340363e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.041999999999886 y2[1] (analytic) = 0.8910225153753436 y2[1] (numeric) = 0.891022515375288 absolute error = 5.562217353372034e-14 relative error = 6.242510438727744e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4539591139014564 y1[1] (numeric) = -0.4539591139015559 absolute error = 9.947598300641403e-14 relative error = 2.191298290092439e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.042999999999886 y2[1] (analytic) = 0.8905681108258815 y2[1] (numeric) = 0.8905681108258257 absolute error = 5.584421813864537e-14 relative error = 6.270628541466347e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4548499092887899 y1[1] (numeric) = -0.4548499092888894 absolute error = 9.953149415764528e-14 relative error = 2.188227195939738e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.043999999999886 y2[1] (analytic) = 0.8901128157083827 y2[1] (numeric) = 0.8901128157083268 absolute error = 5.595524044110789e-14 relative error = 6.286308819919278e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.455740249826252 y1[1] (numeric) = -0.4557402498263515 absolute error = 9.953149415764528e-14 relative error = 2.183952244630379e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.044999999999886 y2[1] (analytic) = 0.8896566304781426 y2[1] (numeric) = 0.8896566304780864 absolute error = 5.617728504603292e-14 relative error = 6.314490683427004e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4566301346235022 y1[1] (numeric) = -0.4566301346236018 absolute error = 9.958700530887654e-14 relative error = 2.180911809313404e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.045999999999886 y2[1] (analytic) = 0.8891995555913459 y2[1] (numeric) = 0.8891995555912896 absolute error = 5.628830734849544e-14 relative error = 6.330222163804606e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4575195627906559 y1[1] (numeric) = -0.4575195627907555 absolute error = 9.96425164601078e-14 relative error = 2.177885375050084e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.046999999999886 y2[1] (analytic) = 0.8887415915050678 y2[1] (numeric) = 0.8887415915050113 absolute error = 5.651035195342047e-14 relative error = 6.358468253716045e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4584085334382849 y1[1] (numeric) = -0.4584085334383846 absolute error = 9.969802761133906e-14 relative error = 2.174872855519416e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.047999999999885 y2[1] (analytic) = 0.8882827386772723 y2[1] (numeric) = 0.8882827386772156 absolute error = 5.662137425588298e-14 relative error = 6.374251326801304e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4592970456774186 y1[1] (numeric) = -0.4592970456775183 absolute error = 9.969802761133906e-14 relative error = 2.170665554016228e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.048999999999885 y2[1] (analytic) = 0.8878229975668122 y2[1] (numeric) = 0.8878229975667553 absolute error = 5.684341886080801e-14 relative error = 6.402562111659011e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.460185098619545 y1[1] (numeric) = -0.4601850986196447 absolute error = 9.975353876257032e-14 relative error = 2.16768294023012e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.049999999999885 y2[1] (analytic) = 0.8873623686334283 y2[1] (numeric) = 0.8873623686333714 absolute error = 5.695444116327053e-14 relative error = 6.418397170817885e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4610726913766111 y1[1] (numeric) = -0.4610726913767109 absolute error = 9.980904991380157e-14 relative error = 2.164713976353808e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.050999999999885 y2[1] (analytic) = 0.8869008523377498 y2[1] (numeric) = 0.8869008523376928 absolute error = 5.706546346573305e-14 relative error = 6.434255116038761e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4619598230610242 y1[1] (numeric) = -0.461959823061124 absolute error = 9.980904991380157e-14 relative error = 2.160556934420181e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.051999999999885 y2[1] (analytic) = 0.886438449141293 y2[1] (numeric) = 0.8864384491412357 absolute error = 5.728750807065808e-14 relative error = 6.46266056330853e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4628464927856528 y1[1] (numeric) = -0.4628464927857526 absolute error = 9.986456106503283e-14 relative error = 2.157617322840572e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.052999999999885 y2[1] (analytic) = 0.8859751595064608 y2[1] (numeric) = 0.8859751595064034 absolute error = 5.739853037312059e-14 relative error = 6.478571070219947e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4637326996638271 y1[1] (numeric) = -0.463732699663927 absolute error = 9.986456106503283e-14 relative error = 2.153494052445028e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.053999999999885 y2[1] (analytic) = 0.885510983896543 y2[1] (numeric) = 0.8855109838964854 absolute error = 5.762057497804562e-14 relative error = 6.50704237732839e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4646184428093404 y1[1] (numeric) = -0.4646184428094404 absolute error = 9.992007221626409e-14 relative error = 2.150583425231508e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.054999999999885 y2[1] (analytic) = 0.885045922775715 y2[1] (numeric) = 0.8850459227756573 absolute error = 5.773159728050814e-14 relative error = 6.52300584578121e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4655037213364497 y1[1] (numeric) = -0.4655037213365497 absolute error = 9.997558336749535e-14 relative error = 2.147686018072378e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.055999999999885 y2[1] (analytic) = 0.8845799766090381 y2[1] (numeric) = 0.8845799766089801 absolute error = 5.795364188543317e-14 relative error = 6.551543491589479e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4663885343598764 y1[1] (numeric) = -0.4663885343599764 absolute error = 9.997558336749535e-14 relative error = 2.143611517052257e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.056999999999884 y2[1] (analytic) = 0.8841131458624583 y2[1] (numeric) = 0.8841131458624001 absolute error = 5.81756864903582e-14 relative error = 6.580117800828245e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4672728809948076 y1[1] (numeric) = -0.4672728809949077 absolute error = 1.000310945187266e-13 relative error = 2.140742563654965e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.057999999999884 y2[1] (analytic) = 0.8836454310028062 y2[1] (numeric) = 0.8836454310027478 absolute error = 5.839773109528323e-14 relative error = 6.60872891392767e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4681567603568967 y1[1] (numeric) = -0.4681567603569968 absolute error = 1.000866056699579e-13 relative error = 2.137886582982533e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.058999999999884 y2[1] (analytic) = 0.8831768324977968 y2[1] (numeric) = 0.8831768324977383 absolute error = 5.850875339774575e-14 relative error = 6.624806182049812e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4690401715622646 y1[1] (numeric) = -0.4690401715623647 absolute error = 1.000866056699579e-13 relative error = 2.133859991919082e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.059999999999884 y2[1] (analytic) = 0.8827073508160285 y2[1] (numeric) = 0.8827073508159697 absolute error = 5.873079800267078e-14 relative error = 6.653484639997215e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4699231137274999 y1[1] (numeric) = -0.4699231137276 absolute error = 1.001421168211891e-13 relative error = 2.131031947478535e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.060999999999884 y2[1] (analytic) = 0.8822369864269829 y2[1] (numeric) = 0.8822369864269241 absolute error = 5.88418203051333e-14 relative error = 6.66961612473762e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4708055859696607 y1[1] (numeric) = -0.4708055859697609 absolute error = 1.001976279724204e-13 relative error = 2.128216634602064e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.061999999999884 y2[1] (analytic) = 0.8817657398010245 y2[1] (numeric) = 0.8817657398009654 absolute error = 5.906386491005833e-14 relative error = 6.698362415780231e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4716875874062747 y1[1] (numeric) = -0.4716875874063749 absolute error = 1.001976279724204e-13 relative error = 2.124237114726489e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.062999999999884 y2[1] (analytic) = 0.8812936114093997 y2[1] (numeric) = 0.8812936114093405 absolute error = 5.917488721252084e-14 relative error = 6.714548528030972e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4725691171553406 y1[1] (numeric) = -0.4725691171554409 absolute error = 1.002531391236516e-13 relative error = 2.121449233228182e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.063999999999884 y2[1] (analytic) = 0.8808206017242369 y2[1] (numeric) = 0.8808206017241775 absolute error = 5.939693181744587e-14 relative error = 6.743363143547542e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4734501743353288 y1[1] (numeric) = -0.4734501743354291 absolute error = 1.003086502748829e-13 relative error = 2.118673848113058e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.064999999999884 y2[1] (analytic) = 0.8803467112185458 y2[1] (numeric) = 0.8803467112184863 absolute error = 5.950795411990839e-14 relative error = 6.759604296986527e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.474330758065182 y1[1] (numeric) = -0.4743307580652824 absolute error = 1.003641614261142e-13 relative error = 2.115910885381003e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.065999999999883 y2[1] (analytic) = 0.8798719403662169 y2[1] (numeric) = 0.8798719403661572 absolute error = 5.961897642237091e-14 relative error = 6.775869724582481e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4752108674643168 y1[1] (numeric) = -0.4752108674644172 absolute error = 1.004196725773454e-13 relative error = 2.113160271632169e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.066999999999883 y2[1] (analytic) = 0.8793962896420209 y2[1] (numeric) = 0.879396289641961 absolute error = 5.984102102729594e-14 relative error = 6.804784342637566e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4760905016526237 y1[1] (numeric) = -0.4760905016527241 absolute error = 1.004196725773454e-13 relative error = 2.109255955091832e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.067999999999883 y2[1] (analytic) = 0.8789197595216086 y2[1] (numeric) = 0.8789197595215485 absolute error = 6.006306563222097e-14 relative error = 6.833737093920039e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4769696597504686 y1[1] (numeric) = -0.476969659750569 absolute error = 1.004751837285767e-13 relative error = 2.106531970631869e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.068999999999883 y2[1] (analytic) = 0.87844235048151 y2[1] (numeric) = 0.8784423504814498 absolute error = 6.017408793468348e-14 relative error = 6.850089582053918e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4778483408786934 y1[1] (numeric) = -0.477848340878794 absolute error = 1.005306948798079e-13 relative error = 2.103820109429419e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.069999999999883 y2[1] (analytic) = 0.8779640629991341 y2[1] (numeric) = 0.8779640629990737 absolute error = 6.039613253960852e-14 relative error = 6.879112151048041e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4787265441586173 y1[1] (numeric) = -0.4787265441587178 absolute error = 1.005862060310392e-13 relative error = 2.10112030048018e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.070999999999883 y2[1] (analytic) = 0.8774848975527684 y2[1] (numeric) = 0.8774848975527078 absolute error = 6.061817714453355e-14 relative error = 6.908173270399587e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4796042687120368 y1[1] (numeric) = -0.4796042687121375 absolute error = 1.006417171822704e-13 relative error = 2.098432473350181e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.071999999999883 y2[1] (analytic) = 0.8770048546215782 y2[1] (numeric) = 0.8770048546215174 absolute error = 6.072919944699606e-14 relative error = 6.924613829327126e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4804815136612277 y1[1] (numeric) = -0.4804815136613283 absolute error = 1.006417171822704e-13 relative error = 2.094601234819405e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.072999999999883 y2[1] (analytic) = 0.8765239346856065 y2[1] (numeric) = 0.8765239346855456 absolute error = 6.095124405192109e-14 relative error = 6.95374554418565e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4813582781289449 y1[1] (numeric) = -0.4813582781290455 absolute error = 1.006417171822704e-13 relative error = 2.090786047628973e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.073999999999883 y2[1] (analytic) = 0.8760421382257731 y2[1] (numeric) = 0.8760421382257121 absolute error = 6.106226635438361e-14 relative error = 6.970243061372771e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4822345612384241 y1[1] (numeric) = -0.4822345612385248 absolute error = 1.006972283335017e-13 relative error = 2.088137940070112e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.074999999999882 y2[1] (analytic) = 0.8755594657238746 y2[1] (numeric) = 0.8755594657238134 absolute error = 6.117328865684613e-14 relative error = 6.986765725417714e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4831103621133822 y1[1] (numeric) = -0.4831103621134829 absolute error = 1.006972283335017e-13 relative error = 2.084352484036947e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.075999999999882 y2[1] (analytic) = 0.8750759176625833 y2[1] (numeric) = 0.8750759176625219 absolute error = 6.139533326177116e-14 relative error = 7.016000786053436e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4839856798780185 y1[1] (numeric) = -0.4839856798781192 absolute error = 1.00752739484733e-13 relative error = 2.081729763370813e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.076999999999882 y2[1] (analytic) = 0.8745914945254473 y2[1] (numeric) = 0.8745914945253856 absolute error = 6.161737786669619e-14 relative error = 7.045275223049103e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4848605136570152 y1[1] (numeric) = -0.484860513657116 absolute error = 1.008082506359642e-13 relative error = 2.079118587645494e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.077999999999882 y2[1] (analytic) = 0.8741061967968895 y2[1] (numeric) = 0.8741061967968278 absolute error = 6.17284001691587e-14 relative error = 7.06188794855348e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4857348625755387 y1[1] (numeric) = -0.4857348625756395 absolute error = 1.008637617871955e-13 relative error = 2.076518890416471e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.078999999999882 y2[1] (analytic) = 0.8736200249622078 y2[1] (numeric) = 0.873620024962146 absolute error = 6.183942247162122e-14 relative error = 7.078526213303816e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4866087257592401 y1[1] (numeric) = -0.4866087257593409 absolute error = 1.008637617871955e-13 relative error = 2.072789829853975e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.079999999999882 y2[1] (analytic) = 0.8731329795075741 y2[1] (numeric) = 0.873132979507512 absolute error = 6.206146707654625e-14 relative error = 7.107905500436763e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4874821023342563 y1[1] (numeric) = -0.4874821023343572 absolute error = 1.009192729384267e-13 relative error = 2.070214936203514e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.080999999999882 y2[1] (analytic) = 0.8726450609200335 y2[1] (numeric) = 0.8726450609199713 absolute error = 6.217248937900877e-14 relative error = 7.124602219539298e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4883549914272107 y1[1] (numeric) = -0.4883549914273117 absolute error = 1.00974784089658e-13 relative error = 2.06765131640327e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.081999999999882 y2[1] (analytic) = 0.8721562696875047 y2[1] (numeric) = 0.8721562696874423 absolute error = 6.23945339839338e-14 relative error = 7.154054399710947e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4892273921652144 y1[1] (numeric) = -0.4892273921653155 absolute error = 1.010302952408892e-13 relative error = 2.065098906129337e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.082999999999882 y2[1] (analytic) = 0.8716666062987789 y2[1] (numeric) = 0.8716666062987164 absolute error = 6.250555628639631e-14 relative error = 7.170810013223272e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4900993036758668 y1[1] (numeric) = -0.4900993036759678 absolute error = 1.010302952408892e-13 relative error = 2.061424990469011e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.083999999999882 y2[1] (analytic) = 0.8711760712435195 y2[1] (numeric) = 0.8711760712434568 absolute error = 6.272760089132134e-14 relative error = 7.200335610892499e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4909707250872563 y1[1] (numeric) = -0.4909707250873573 absolute error = 1.010302952408892e-13 relative error = 2.057766177870054e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.084999999999881 y2[1] (analytic) = 0.8706846650122615 y2[1] (numeric) = 0.8706846650121985 absolute error = 6.294964549624638e-14 relative error = 7.229901711357221e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4918416555279616 y1[1] (numeric) = -0.4918416555280627 absolute error = 1.010858063921205e-13 relative error = 2.05525101942842e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.085999999999881 y2[1] (analytic) = 0.8701923880964109 y2[1] (numeric) = 0.8701923880963478 absolute error = 6.306066779870889e-14 relative error = 7.246750105072424e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4927120941270524 y1[1] (numeric) = -0.4927120941271535 absolute error = 1.010858063921205e-13 relative error = 2.051620157025295e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.086999999999881 y2[1] (analytic) = 0.8696992409882448 y2[1] (numeric) = 0.8696992409881815 absolute error = 6.328271240363392e-14 relative error = 7.276390437195895e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4935820400140901 y1[1] (numeric) = -0.4935820400141913 absolute error = 1.011413175433518e-13 relative error = 2.049128804209823e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.087999999999881 y2[1] (analytic) = 0.8692052241809102 y2[1] (numeric) = 0.8692052241808467 absolute error = 6.350475700855895e-14 relative error = 7.306071712627158e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.494451492319129 y1[1] (numeric) = -0.4944514923192301 absolute error = 1.011413175433518e-13 relative error = 2.045525579647217e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.088999999999881 y2[1] (analytic) = 0.8687103381684238 y2[1] (numeric) = 0.8687103381683601 absolute error = 6.372680161348399e-14 relative error = 7.335794086190414e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4953204501727167 y1[1] (numeric) = -0.4953204501728179 absolute error = 1.01196828694583e-13 relative error = 2.043057755020936e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.089999999999881 y2[1] (analytic) = 0.8682145834456717 y2[1] (numeric) = 0.8682145834456078 absolute error = 6.394884621840902e-14 relative error = 7.365557713234449e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4961889127058955 y1[1] (numeric) = -0.4961889127059967 absolute error = 1.01196828694583e-13 relative error = 2.039481860703427e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.090999999999881 y2[1] (analytic) = 0.8677179605084084 y2[1] (numeric) = 0.8677179605083444 absolute error = 6.405986852087153e-14 relative error = 7.382568004393724e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.497056879050203 y1[1] (numeric) = -0.4970568790503043 absolute error = 1.012523398458143e-13 relative error = 2.037037291170609e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.091999999999881 y2[1] (analytic) = 0.867220469853257 y2[1] (numeric) = 0.8672204698531928 absolute error = 6.417089082333405e-14 relative error = 7.399605181620362e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4979243483376729 y1[1] (numeric) = -0.4979243483377742 absolute error = 1.013078509970455e-13 relative error = 2.034603275281941e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.092999999999881 y2[1] (analytic) = 0.866722111977708 y2[1] (numeric) = 0.8667221119776436 absolute error = 6.439293542825908e-14 relative error = 7.429478784304427e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4987913197008358 y1[1] (numeric) = -0.4987913197009372 absolute error = 1.013633621482768e-13 relative error = 2.032179754232137e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09399999999988 y2[1] (analytic) = 0.8662228873801192 y2[1] (numeric) = 0.8662228873800546 absolute error = 6.461498003318411e-14 relative error = 7.459394224575541e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.4996577922727207 y1[1] (numeric) = -0.4996577922728221 absolute error = 1.013633621482768e-13 relative error = 2.028655686269197e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09499999999988 y2[1] (analytic) = 0.8657227965597152 y2[1] (numeric) = 0.8657227965596505 absolute error = 6.472600233564663e-14 relative error = 7.47652742804746e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5005237651868549 y1[1] (numeric) = -0.5005237651869564 absolute error = 1.014743844507393e-13 relative error = 2.027363963684262e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09599999999988 y2[1] (analytic) = 0.8652218400165869 y2[1] (numeric) = 0.8652218400165219 absolute error = 6.494804694057166e-14 relative error = 7.506519592631476e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5013892375772657 y1[1] (numeric) = -0.5013892375773672 absolute error = 1.014743844507393e-13 relative error = 2.023864431974405e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09699999999988 y2[1] (analytic) = 0.8647200182516905 y2[1] (numeric) = 0.8647200182516255 absolute error = 6.505906924303417e-14 relative error = 7.523714944702216e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5022542085784807 y1[1] (numeric) = -0.5022542085785822 absolute error = 1.014743844507393e-13 relative error = 2.020378977767853e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09799999999988 y2[1] (analytic) = 0.864217331766848 y2[1] (numeric) = 0.8642173317667828 absolute error = 6.517009154549669e-14 relative error = 7.540937811587252e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.503118677325529 y1[1] (numeric) = -0.5031186773256304 absolute error = 1.014743844507393e-13 relative error = 2.016907521504775e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09899999999988 y2[1] (analytic) = 0.8637137810647458 y2[1] (numeric) = 0.8637137810646804 absolute error = 6.539213615042172e-14 relative error = 7.571042350373217e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5039826429539418 y1[1] (numeric) = -0.5039826429540433 absolute error = 1.014743844507393e-13 relative error = 2.013449984229177e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09999999999988 y2[1] (analytic) = 0.8632093666489344 y2[1] (numeric) = 0.8632093666488689 absolute error = 6.550315845288424e-14 relative error = 7.588328044582519e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5048461045997537 y1[1] (numeric) = -0.5048461045998551 absolute error = 1.014743844507393e-13 relative error = 2.010006287583205e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.10099999999988 y2[1] (analytic) = 0.8627040890238284 y2[1] (numeric) = 0.8627040890237627 absolute error = 6.572520305780927e-14 relative error = 7.618510668261582e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.505709061399503 y1[1] (numeric) = -0.5057090613996045 absolute error = 1.014743844507393e-13 relative error = 2.006576353801499e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.10199999999988 y2[1] (analytic) = 0.8621979486947052 y2[1] (numeric) = 0.8621979486946394 absolute error = 6.583622536027178e-14 relative error = 7.63585966075914e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5065715124902331 y1[1] (numeric) = -0.5065715124903346 absolute error = 1.014743844507393e-13 relative error = 2.003160105705624e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.102999999999879 y2[1] (analytic) = 0.8616909461677053 y2[1] (numeric) = 0.8616909461676392 absolute error = 6.605826996519681e-14 relative error = 7.666120928737288e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5074334570094929 y1[1] (numeric) = -0.5074334570095944 absolute error = 1.014743844507393e-13 relative error = 1.999757466698554e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.103999999999879 y2[1] (analytic) = 0.8611830819498308 y2[1] (numeric) = 0.8611830819497647 absolute error = 6.616929226765933e-14 relative error = 7.68353369388579e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.508294894095338 y1[1] (numeric) = -0.5082948940954395 absolute error = 1.014743844507393e-13 relative error = 1.996368360759224e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.104999999999879 y2[1] (analytic) = 0.8606743565489463 y2[1] (numeric) = 0.8606743565488799 absolute error = 6.639133687258436e-14 relative error = 7.713874169412262e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5091558228863313 y1[1] (numeric) = -0.5091558228864329 absolute error = 1.015854067532018e-13 relative error = 1.99517322962799e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.105999999999879 y2[1] (analytic) = 0.8601647704737769 y2[1] (numeric) = 0.8601647704737103 absolute error = 6.661338147750939e-14 relative error = 7.744258282145046e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5100162425215443 y1[1] (numeric) = -0.5100162425216458 absolute error = 1.014743844507393e-13 relative error = 1.989630446847049e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.106999999999879 y2[1] (analytic) = 0.8596543242339088 y2[1] (numeric) = 0.8596543242338419 absolute error = 6.683542608243442e-14 relative error = 7.774686196337768e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5108761521405571 y1[1] (numeric) = -0.5108761521406587 absolute error = 1.015854067532018e-13 relative error = 1.988454664160027e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.107999999999879 y2[1] (analytic) = 0.859143018339788 y2[1] (numeric) = 0.859143018339721 absolute error = 6.705747068735946e-14 relative error = 7.805158076817249e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5117355508834605 y1[1] (numeric) = -0.511735550883562 absolute error = 1.015854067532018e-13 relative error = 1.985115292025827e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.108999999999879 y2[1] (analytic) = 0.8586308533027205 y2[1] (numeric) = 0.8586308533026532 absolute error = 6.727951529228449e-14 relative error = 7.835674088986445e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5125944378908556 y1[1] (numeric) = -0.5125944378909572 absolute error = 1.015854067532018e-13 relative error = 1.98178909570673e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.109999999999879 y2[1] (analytic) = 0.8581178296348712 y2[1] (numeric) = 0.8581178296348038 absolute error = 6.7390537594747e-14 relative error = 7.853296513303034e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5134528123038554 y1[1] (numeric) = -0.5134528123039571 absolute error = 1.016964290556643e-13 relative error = 1.980638271301971e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.110999999999879 y2[1] (analytic) = 0.8576039478492637 y2[1] (numeric) = 0.8576039478491961 absolute error = 6.761258219967203e-14 relative error = 7.883893534915946e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5143106732640859 y1[1] (numeric) = -0.5143106732641876 absolute error = 1.016964290556643e-13 relative error = 1.977334602259863e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.111999999999878 y2[1] (analytic) = 0.85708920845978 y2[1] (numeric) = 0.8570892084597121 absolute error = 6.783462680459706e-14 relative error = 7.914535165656598e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5151680199136859 y1[1] (numeric) = -0.5151680199137876 absolute error = 1.016964290556643e-13 relative error = 1.974043906543405e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.112999999999878 y2[1] (analytic) = 0.8565736119811592 y2[1] (numeric) = 0.8565736119810912 absolute error = 6.80566714095221e-14 relative error = 7.945221573206605e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5160248513953088 y1[1] (numeric) = -0.5160248513954107 absolute error = 1.018074513581269e-13 relative error = 1.972917604313899e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.113999999999878 y2[1] (analytic) = 0.8560571589289978 y2[1] (numeric) = 0.8560571589289295 absolute error = 6.827871601444713e-14 relative error = 7.975952925838475e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5168811668521235 y1[1] (numeric) = -0.5168811668522253 absolute error = 1.018074513581269e-13 relative error = 1.969649077720283e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.114999999999878 y2[1] (analytic) = 0.8555398498197487 y2[1] (numeric) = 0.8555398498196803 absolute error = 6.838973831690964e-14 relative error = 7.993752521442279e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5177369654278142 y1[1] (numeric) = -0.5177369654279161 absolute error = 1.019184736605894e-13 relative error = 1.968537702854045e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.115999999999878 y2[1] (analytic) = 0.8550216851707212 y2[1] (numeric) = 0.8550216851706526 absolute error = 6.861178292183467e-14 relative error = 8.024566407123936e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5185922462665828 y1[1] (numeric) = -0.5185922462666848 absolute error = 1.019184736605894e-13 relative error = 1.965291120226238e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.116999999999878 y2[1] (analytic) = 0.8545026655000798 y2[1] (numeric) = 0.854502665500011 absolute error = 6.883382752675971e-14 relative error = 8.05542572374261e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5194470085131483 y1[1] (numeric) = -0.5194470085132503 absolute error = 1.020294959630519e-13 relative error = 1.964194504750321e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.117999999999878 y2[1] (analytic) = 0.8539827913268441 y2[1] (numeric) = 0.853982791326775 absolute error = 6.905587213168474e-14 relative error = 8.086330641908104e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5203012513127486 y1[1] (numeric) = -0.5203012513128507 absolute error = 1.020294959630519e-13 relative error = 1.960969644136467e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.118999999999878 y2[1] (analytic) = 0.8534620631708881 y2[1] (numeric) = 0.853462063170819 absolute error = 6.916689443414725e-14 relative error = 8.10427286916185e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5211549738111408 y1[1] (numeric) = -0.521154973811243 absolute error = 1.021405182655144e-13 relative error = 1.959887622650392e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.119999999999878 y2[1] (analytic) = 0.8529404815529402 y2[1] (numeric) = 0.8529404815528708 absolute error = 6.938893903907228e-14 relative error = 8.135261549872335e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5220081751546028 y1[1] (numeric) = -0.522008175154705 absolute error = 1.021405182655144e-13 relative error = 1.956684265246679e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.120999999999877 y2[1] (analytic) = 0.8524180469945818 y2[1] (numeric) = 0.8524180469945122 absolute error = 6.961098364399732e-14 relative error = 8.16629632484069e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5228608544899331 y1[1] (numeric) = -0.5228608544900353 absolute error = 1.021405182655144e-13 relative error = 1.953493312578461e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.121999999999877 y2[1] (analytic) = 0.8518947600182474 y2[1] (numeric) = 0.8518947600181777 absolute error = 6.972200594645983e-14 relative error = 8.18434497061191e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5237130109644524 y1[1] (numeric) = -0.5237130109645547 absolute error = 1.022515405679769e-13 relative error = 1.952434604969502e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.122999999999877 y2[1] (analytic) = 0.8513706211472239 y2[1] (numeric) = 0.851370621147154 absolute error = 6.994405055138486e-14 relative error = 8.215464430418692e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5245646437260045 y1[1] (numeric) = -0.5245646437261068 absolute error = 1.022515405679769e-13 relative error = 1.949264819711827e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.123999999999877 y2[1] (analytic) = 0.8508456309056504 y2[1] (numeric) = 0.8508456309055802 absolute error = 7.016609515630989e-14 relative error = 8.246630482385419e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5254157519229565 y1[1] (numeric) = -0.5254157519230588 absolute error = 1.022515405679769e-13 relative error = 1.946107253041976e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.124999999999877 y2[1] (analytic) = 0.8503197898185167 y2[1] (numeric) = 0.8503197898184464 absolute error = 7.038813976123492e-14 relative error = 8.277843301313477e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5262663347042004 y1[1] (numeric) = -0.5262663347043027 absolute error = 1.023625628704394e-13 relative error = 1.945071461353776e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.125999999999877 y2[1] (analytic) = 0.8497930984116642 y2[1] (numeric) = 0.8497930984115936 absolute error = 7.061018436615996e-14 relative error = 8.309103062632118e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5271163912191534 y1[1] (numeric) = -0.5271163912192558 absolute error = 1.023625628704394e-13 relative error = 1.941934733497621e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.126999999999877 y2[1] (analytic) = 0.849265557211784 y2[1] (numeric) = 0.8492655572117133 absolute error = 7.072120666862247e-14 relative error = 8.327337199545289e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5279659206177593 y1[1] (numeric) = -0.5279659206178615 absolute error = 1.022515405679769e-13 relative error = 1.936707211108153e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.127999999999877 y2[1] (analytic) = 0.8487371667464174 y2[1] (numeric) = 0.8487371667463465 absolute error = 7.09432512735475e-14 relative error = 8.358683235883751e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5288149220504883 y1[1] (numeric) = -0.5288149220505907 absolute error = 1.023625628704394e-13 relative error = 1.935697322487175e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.128999999999877 y2[1] (analytic) = 0.8482079275439548 y2[1] (numeric) = 0.8482079275438836 absolute error = 7.116529587847253e-14 relative error = 8.390076721463405e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5296633946683394 y1[1] (numeric) = -0.5296633946684418 absolute error = 1.023625628704394e-13 relative error = 1.932596511309528e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.129999999999876 y2[1] (analytic) = 0.8476778401336353 y2[1] (numeric) = 0.847677840133564 absolute error = 7.138734048339757e-14 relative error = 8.421517834197888e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5305113376228401 y1[1] (numeric) = -0.5305113376229424 absolute error = 1.023625628704394e-13 relative error = 1.929507545100058e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.130999999999876 y2[1] (analytic) = 0.8471469050455464 y2[1] (numeric) = 0.8471469050454747 absolute error = 7.16093850883226e-14 relative error = 8.453006752644934e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5313587500660473 y1[1] (numeric) = -0.5313587500661496 absolute error = 1.023625628704394e-13 relative error = 1.926430360988991e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.131999999999876 y2[1] (analytic) = 0.8466151228106229 y2[1] (numeric) = 0.8466151228105512 absolute error = 7.172040739078511e-14 relative error = 8.471429987298735e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5322056311505488 y1[1] (numeric) = -0.5322056311506511 absolute error = 1.023625628704394e-13 relative error = 1.923364896555997e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.132999999999876 y2[1] (analytic) = 0.8460824939606472 y2[1] (numeric) = 0.8460824939605753 absolute error = 7.183142969324763e-14 relative error = 8.489884875999885e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5330519800294633 y1[1] (numeric) = -0.5330519800295658 absolute error = 1.024735851729019e-13 relative error = 1.922393856734909e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.133999999999876 y2[1] (analytic) = 0.8455490190282481 y2[1] (numeric) = 0.845549019028176 absolute error = 7.205347429817266e-14 relative error = 8.521501731618175e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5338977958564424 y1[1] (numeric) = -0.5338977958565448 absolute error = 1.024735851729019e-13 relative error = 1.919348346597326e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.134999999999876 y2[1] (analytic) = 0.8450146985469004 y2[1] (numeric) = 0.8450146985468281 absolute error = 7.227551890309769e-14 relative error = 8.55316706648816e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.53474307778567 y1[1] (numeric) = -0.5347430777857725 absolute error = 1.024735851729019e-13 relative error = 1.916314384044712e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.135999999999876 y2[1] (analytic) = 0.8444795330509245 y2[1] (numeric) = 0.8444795330508521 absolute error = 7.238654120556021e-14 relative error = 8.571734230673782e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5355878249718644 y1[1] (numeric) = -0.5355878249719669 absolute error = 1.024735851729019e-13 relative error = 1.913291908349207e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.136999999999876 y2[1] (analytic) = 0.843943523075486 y2[1] (numeric) = 0.8439435230754134 absolute error = 7.260858581048524e-14 relative error = 8.603488719942556e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5364320365702785 y1[1] (numeric) = -0.536432036570381 absolute error = 1.024735851729019e-13 relative error = 1.910280859213314e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.137999999999876 y2[1] (analytic) = 0.8434066691565948 y2[1] (numeric) = 0.843406669156522 absolute error = 7.283063041541027e-14 relative error = 8.635292211791587e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5372757117367007 y1[1] (numeric) = -0.5372757117368032 absolute error = 1.024735851729019e-13 relative error = 1.907281176766102e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.138999999999875 y2[1] (analytic) = 0.8428689718311047 y2[1] (numeric) = 0.8428689718310316 absolute error = 7.30526750203353e-14 relative error = 8.667144889867141e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5381188496274559 y1[1] (numeric) = -0.5381188496275585 absolute error = 1.025846074753645e-13 relative error = 1.906355957357462e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.139999999999875 y2[1] (analytic) = 0.842330431636713 y2[1] (numeric) = 0.8423304316366397 absolute error = 7.327471962526033e-14 relative error = 8.699046938489674e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5389614493994064 y1[1] (numeric) = -0.538961449399509 absolute error = 1.025846074753645e-13 relative error = 1.903375604872667e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.140999999999875 y2[1] (analytic) = 0.8417910491119598 y2[1] (numeric) = 0.8417910491118863 absolute error = 7.349676423018536e-14 relative error = 8.730998542657366e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5398035102099524 y1[1] (numeric) = -0.539803510210055 absolute error = 1.025846074753645e-13 relative error = 1.900406454108921e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.141999999999875 y2[1] (analytic) = 0.8412508247962276 y2[1] (numeric) = 0.841250824796154 absolute error = 7.360778653264788e-14 relative error = 8.749802599061649e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5406450312170331 y1[1] (numeric) = -0.5406450312171358 absolute error = 1.02695629777827e-13 relative error = 1.899501962436449e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.142999999999875 y2[1] (analytic) = 0.8407097592297408 y2[1] (numeric) = 0.840709759229667 absolute error = 7.382983113757291e-14 relative error = 8.781845378506833e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5414860115791277 y1[1] (numeric) = -0.5414860115792304 absolute error = 1.02695629777827e-13 relative error = 1.896551851419711e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.143999999999875 y2[1] (analytic) = 0.8401678529535648 y2[1] (numeric) = 0.8401678529534907 absolute error = 7.405187574249794e-14 relative error = 8.813938248431259e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5423264504552558 y1[1] (numeric) = -0.5423264504553585 absolute error = 1.02695629777827e-13 relative error = 1.893612780487088e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.144999999999875 y2[1] (analytic) = 0.8396251065096059 y2[1] (numeric) = 0.8396251065095316 absolute error = 7.427392034742297e-14 relative error = 8.84608139651589e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5431663470049788 y1[1] (numeric) = -0.5431663470050815 absolute error = 1.02695629777827e-13 relative error = 1.890684692527272e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.145999999999875 y2[1] (analytic) = 0.8390815204406105 y2[1] (numeric) = 0.839081520440536 absolute error = 7.4495964952348e-14 relative error = 8.878275011137105e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5440057003883999 y1[1] (numeric) = -0.5440057003885026 absolute error = 1.02695629777827e-13 relative error = 1.887767530827455e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.146999999999875 y2[1] (analytic) = 0.8385370952901644 y2[1] (numeric) = 0.8385370952900898 absolute error = 7.460698725481052e-14 relative error = 8.897279282438159e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5448445097661659 y1[1] (numeric) = -0.5448445097662687 absolute error = 1.028066520802895e-13 relative error = 1.886898926895888e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.147999999999874 y2[1] (analytic) = 0.8379918316026931 y2[1] (numeric) = 0.8379918316026183 absolute error = 7.482903185973555e-14 relative error = 8.929565783072374e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5456827742994677 y1[1] (numeric) = -0.5456827742995705 absolute error = 1.028066520802895e-13 relative error = 1.884000318908175e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.148999999999874 y2[1] (analytic) = 0.8374457299234599 y2[1] (numeric) = 0.837445729923385 absolute error = 7.494005416219807e-14 relative error = 8.948646041701995e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5465204931500406 y1[1] (numeric) = -0.5465204931501434 absolute error = 1.028066520802895e-13 relative error = 1.88111248102942e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.149999999999874 y2[1] (analytic) = 0.8368987907985665 y2[1] (numeric) = 0.8368987907984915 absolute error = 7.505107646466058e-14 relative error = 8.967760174805253e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5473576654801658 y1[1] (numeric) = -0.5473576654802687 absolute error = 1.028066520802895e-13 relative error = 1.878235358046974e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.150999999999874 y2[1] (analytic) = 0.8363510147749522 y2[1] (numeric) = 0.8363510147748769 absolute error = 7.527312106958561e-14 relative error = 9.000182906436758e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5481942904526712 y1[1] (numeric) = -0.5481942904527741 absolute error = 1.02917674382752e-13 relative error = 1.877394131518002e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.151999999999874 y2[1] (analytic) = 0.8358024024003927 y2[1] (numeric) = 0.8358024024003173 absolute error = 7.538414337204813e-14 relative error = 9.019373856254508e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5490303672309319 y1[1] (numeric) = -0.5490303672310348 absolute error = 1.02917674382752e-13 relative error = 1.874535190135722e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.152999999999874 y2[1] (analytic) = 0.8352529542235005 y2[1] (numeric) = 0.8352529542234249 absolute error = 7.560618797697316e-14 relative error = 9.051891118093805e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5498658949788711 y1[1] (numeric) = -0.549865894978974 absolute error = 1.02917674382752e-13 relative error = 1.87168681168536e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.153999999999874 y2[1] (analytic) = 0.8347026707937237 y2[1] (numeric) = 0.8347026707936479 absolute error = 7.582823258189819e-14 relative error = 9.084460279705667e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.550700872860961 y1[1] (numeric) = -0.5507008728610641 absolute error = 1.030286966852145e-13 relative error = 1.870864960681238e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.154999999999874 y2[1] (analytic) = 0.8341515526613457 y2[1] (numeric) = 0.8341515526612697 absolute error = 7.593925488436071e-14 relative error = 9.103771927544566e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5515353000422242 y1[1] (numeric) = -0.5515353000423271 absolute error = 1.02917674382752e-13 relative error = 1.866021528900741e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.155999999999874 y2[1] (analytic) = 0.8335996003774845 y2[1] (numeric) = 0.8335996003774083 absolute error = 7.616129948928574e-14 relative error = 9.136436660333943e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5523691756882331 y1[1] (numeric) = -0.5523691756883361 absolute error = 1.030286966852145e-13 relative error = 1.865214447508667e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.156999999999873 y2[1] (analytic) = 0.8330468144940925 y2[1] (numeric) = 0.8330468144940161 absolute error = 7.638334409421077e-14 relative error = 9.169153853688067e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5532024989651124 y1[1] (numeric) = -0.5532024989652155 absolute error = 1.030286966852145e-13 relative error = 1.862404759160569e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.157999999999873 y2[1] (analytic) = 0.8324931955639553 y2[1] (numeric) = 0.8324931955638787 absolute error = 7.66053886991358e-14 relative error = 9.201923704282178e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5540352690395388 y1[1] (numeric) = -0.554035269039642 absolute error = 1.03139718987677e-13 relative error = 1.861609264812281e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.158999999999873 y2[1] (analytic) = 0.8319387441406919 y2[1] (numeric) = 0.8319387441406151 absolute error = 7.682743330406083e-14 relative error = 9.234746409534725e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5548674850787424 y1[1] (numeric) = -0.5548674850788455 absolute error = 1.03139718987677e-13 relative error = 1.858817136726624e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.159999999999873 y2[1] (analytic) = 0.8313834607787537 y2[1] (numeric) = 0.8313834607786768 absolute error = 7.693845560652335e-14 relative error = 9.254268245179594e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5556991462505071 y1[1] (numeric) = -0.5556991462506102 absolute error = 1.03139718987677e-13 relative error = 1.856035224880156e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.160999999999873 y2[1] (analytic) = 0.830827346033424 y2[1] (numeric) = 0.8308273460333468 absolute error = 7.716050021144838e-14 relative error = 9.287188316541549e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5565302517231719 y1[1] (numeric) = -0.5565302517232751 absolute error = 1.03139718987677e-13 relative error = 1.853263477921063e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.161999999999873 y2[1] (analytic) = 0.8302704004608176 y2[1] (numeric) = 0.8302704004607402 absolute error = 7.738254481637341e-14 relative error = 9.320161813961388e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5573608006656313 y1[1] (numeric) = -0.5573608006657346 absolute error = 1.032507412901396e-13 relative error = 1.852493773635171e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.162999999999873 y2[1] (analytic) = 0.8297126246178798 y2[1] (numeric) = 0.8297126246178023 absolute error = 7.749356711883593e-14 relative error = 9.339808123870023e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5581907922473366 y1[1] (numeric) = -0.5581907922474398 absolute error = 1.032507412901396e-13 relative error = 1.849739241925523e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.163999999999873 y2[1] (analytic) = 0.8291540190623866 y2[1] (numeric) = 0.8291540190623089 absolute error = 7.771561172376096e-14 relative error = 9.372880060527517e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5590202256382961 y1[1] (numeric) = -0.5590202256383994 absolute error = 1.032507412901396e-13 relative error = 1.846994733906928e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.164999999999873 y2[1] (analytic) = 0.8285945843529434 y2[1] (numeric) = 0.8285945843528655 absolute error = 7.793765632868599e-14 relative error = 9.406006001058789e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5598491000090765 y1[1] (numeric) = -0.5598491000091799 absolute error = 1.033617635926021e-13 relative error = 1.846243275034761e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.165999999999872 y2[1] (analytic) = 0.8280343210489849 y2[1] (numeric) = 0.8280343210489068 absolute error = 7.80486786311485e-14 relative error = 9.425778213187289e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5606774145308036 y1[1] (numeric) = -0.5606774145309069 absolute error = 1.033617635926021e-13 relative error = 1.843515734963199e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.166999999999872 y2[1] (analytic) = 0.8274732297107744 y2[1] (numeric) = 0.8274732297106961 absolute error = 7.827072323607354e-14 relative error = 9.459003678394696e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5615051683751628 y1[1] (numeric) = -0.5615051683752662 absolute error = 1.033617635926021e-13 relative error = 1.840798080126347e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.167999999999872 y2[1] (analytic) = 0.8269113108994031 y2[1] (numeric) = 0.8269113108993247 absolute error = 7.838174553853605e-14 relative error = 9.47885758791749e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5623323607144005 y1[1] (numeric) = -0.5623323607145039 absolute error = 1.033617635926021e-13 relative error = 1.838090261447675e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.168999999999872 y2[1] (analytic) = 0.8263485651767898 y2[1] (numeric) = 0.8263485651767112 absolute error = 7.860379014346108e-14 relative error = 9.512183291156864e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5631589907213244 y1[1] (numeric) = -0.5631589907214277 absolute error = 1.033617635926021e-13 relative error = 1.835392230180162e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.169999999999872 y2[1] (analytic) = 0.8257849931056802 y2[1] (numeric) = 0.8257849931056014 absolute error = 7.882583474838611e-14 relative error = 9.545563967193376e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5639850575693045 y1[1] (numeric) = -0.5639850575694078 absolute error = 1.032507412901396e-13 relative error = 1.830735405209769e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.170999999999872 y2[1] (analytic) = 0.8252205952496463 y2[1] (numeric) = 0.8252205952495673 absolute error = 7.904787935331115e-14 relative error = 9.578999822392645e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.564810560432274 y1[1] (numeric) = -0.5648105604323772 absolute error = 1.032507412901396e-13 relative error = 1.828059680950677e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.171999999999872 y2[1] (analytic) = 0.8246553721730859 y2[1] (numeric) = 0.8246553721730067 absolute error = 7.926992395823618e-14 relative error = 9.612491063915401e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.56563549848473 y1[1] (numeric) = -0.5656354984848333 absolute error = 1.032507412901396e-13 relative error = 1.825393589453561e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.172999999999872 y2[1] (analytic) = 0.8240893244412222 y2[1] (numeric) = 0.8240893244411427 absolute error = 7.949196856316121e-14 relative error = 9.646037899721748e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5664598709017348 y1[1] (numeric) = -0.566459870901838 absolute error = 1.032507412901396e-13 relative error = 1.822737083313192e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.173999999999872 y2[1] (analytic) = 0.8235224526201026 y2[1] (numeric) = 0.8235224526200229 absolute error = 7.971401316808624e-14 relative error = 9.679640538575448e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5672836768589159 y1[1] (numeric) = -0.5672836768590191 absolute error = 1.032507412901396e-13 relative error = 1.820090115440042e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.174999999999871 y2[1] (analytic) = 0.8229547572765991 y2[1] (numeric) = 0.8229547572765191 absolute error = 7.993605777301127e-14 relative error = 9.71329919004823e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5681069155324674 y1[1] (numeric) = -0.5681069155325706 absolute error = 1.032507412901396e-13 relative error = 1.81745263905767e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.175999999999871 y2[1] (analytic) = 0.8223862389784067 y2[1] (numeric) = 0.8223862389783266 absolute error = 8.004708007547379e-14 relative error = 9.733514045044178e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5689295860991507 y1[1] (numeric) = -0.5689295860992539 absolute error = 1.032507412901396e-13 relative error = 1.814824607700142e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.176999999999871 y2[1] (analytic) = 0.821816898294044 y2[1] (numeric) = 0.8218168982939638 absolute error = 8.026912468039882e-14 relative error = 9.767276001141403e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5697516877362953 y1[1] (numeric) = -0.5697516877363985 absolute error = 1.032507412901396e-13 relative error = 1.812205975209472e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.177999999999871 y2[1] (analytic) = 0.8212467357928515 y2[1] (numeric) = 0.8212467357927711 absolute error = 8.038014698286133e-14 relative error = 9.787575825827836e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5705732196217996 y1[1] (numeric) = -0.5705732196219029 absolute error = 1.032507412901396e-13 relative error = 1.809596695733083e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.178999999999871 y2[1] (analytic) = 0.8206757520449917 y2[1] (numeric) = 0.8206757520449109 absolute error = 8.071321389024888e-14 relative error = 9.834969985298648e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5713941809341319 y1[1] (numeric) = -0.5713941809342352 absolute error = 1.033617635926021e-13 relative error = 1.808939730951114e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.179999999999871 y2[1] (analytic) = 0.8201039476214481 y2[1] (numeric) = 0.8201039476213672 absolute error = 8.093525849517391e-14 relative error = 9.868902439734728e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5722145708523309 y1[1] (numeric) = -0.5722145708524342 absolute error = 1.033617635926021e-13 relative error = 1.806346235445239e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.180999999999871 y2[1] (analytic) = 0.8195313230940252 y2[1] (numeric) = 0.8195313230939442 absolute error = 8.104628079763643e-14 relative error = 9.889345106622356e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5730343885560066 y1[1] (numeric) = -0.57303438855611 absolute error = 1.033617635926021e-13 relative error = 1.803761967114471e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.181999999999871 y2[1] (analytic) = 0.8189578790353477 y2[1] (numeric) = 0.8189578790352664 absolute error = 8.126832540256146e-14 relative error = 9.923382811615122e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5738536332253417 y1[1] (numeric) = -0.573853633225445 absolute error = 1.033617635926021e-13 relative error = 1.80118688125503e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.182999999999871 y2[1] (analytic) = 0.8183836160188592 y2[1] (numeric) = 0.8183836160187778 absolute error = 8.137934770502397e-14 relative error = 9.943912135106653e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5746723040410912 y1[1] (numeric) = -0.5746723040411946 absolute error = 1.034727858950646e-13 relative error = 1.800552857123003e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18399999999987 y2[1] (analytic) = 0.817808534618823 y2[1] (numeric) = 0.8178085346187415 absolute error = 8.149037000748649e-14 relative error = 9.964480261320432e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5754904001845846 y1[1] (numeric) = -0.5754904001846881 absolute error = 1.034727858950646e-13 relative error = 1.79799325691404e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18499999999987 y2[1] (analytic) = 0.8172326354103203 y2[1] (numeric) = 0.8172326354102386 absolute error = 8.171241461241152e-14 relative error = 9.998672479762747e-12 % Correct digits = 13 h = 0.001 y1[1] (analytic) = -0.5763079208377259 y1[1] (numeric) = -0.5763079208378293 absolute error = 1.034727858950646e-13 relative error = 1.795442716536946e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18599999999987 y2[1] (analytic) = 0.8166559189692503 y2[1] (numeric) = 0.8166559189691684 absolute error = 8.182343691487404e-14 relative error = 1.001932821574945e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5771248651829942 y1[1] (numeric) = -0.5771248651830977 absolute error = 1.034727858950646e-13 relative error = 1.792901192400635e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18699999999987 y2[1] (analytic) = 0.8160783858723294 y2[1] (numeric) = 0.8160783858722473 absolute error = 8.204548151979907e-14 relative error = 1.005362756080083e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5779412324034455 y1[1] (numeric) = -0.577941232403549 absolute error = 1.034727858950646e-13 relative error = 1.790368641198332e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18799999999987 y2[1] (analytic) = 0.8155000366970906 y2[1] (numeric) = 0.8155000366970083 absolute error = 8.22675261247241e-14 relative error = 1.008798558218601e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5787570216827126 y1[1] (numeric) = -0.5787570216828161 absolute error = 1.034727858950646e-13 relative error = 1.787845019905273e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18899999999987 y2[1] (analytic) = 0.8149208720218831 y2[1] (numeric) = 0.8149208720218006 absolute error = 8.248957072964913e-14 relative error = 1.012240250086932e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5795722322050062 y1[1] (numeric) = -0.5795722322051097 absolute error = 1.034727858950646e-13 relative error = 1.785330285776428e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18999999999987 y2[1] (analytic) = 0.8143408924258715 y2[1] (numeric) = 0.8143408924257888 absolute error = 8.271161533457416e-14 relative error = 1.015687853868929e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5803868631551159 y1[1] (numeric) = -0.5803868631552194 absolute error = 1.034727858950646e-13 relative error = 1.782824396344239e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.19099999999987 y2[1] (analytic) = 0.8137600984890353 y2[1] (numeric) = 0.8137600984889524 absolute error = 8.293365993949919e-14 relative error = 1.019141391836339e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5812009137184109 y1[1] (numeric) = -0.5812009137185142 absolute error = 1.033617635926021e-13 relative error = 1.778417086981394e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.19199999999987 y2[1] (analytic) = 0.8131784907921684 y2[1] (numeric) = 0.8131784907920853 absolute error = 8.315570454442422e-14 relative error = 1.022600886349281e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5820143830808404 y1[1] (numeric) = -0.5820143830809439 absolute error = 1.034727858950646e-13 relative error = 1.777838983073593e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.192999999999869 y2[1] (analytic) = 0.8125960699168785 y2[1] (numeric) = 0.8125960699167951 absolute error = 8.337774914934926e-14 relative error = 1.026066359856725e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5828272704289355 y1[1] (numeric) = -0.5828272704290389 absolute error = 1.034727858950646e-13 relative error = 1.775359375667393e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.193999999999869 y2[1] (analytic) = 0.8120128364455864 y2[1] (numeric) = 0.8120128364455028 absolute error = 8.359979375427429e-14 relative error = 1.029537834896978e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5836395749498087 y1[1] (numeric) = -0.5836395749499121 absolute error = 1.034727858950646e-13 relative error = 1.772888445818003e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.194999999999869 y2[1] (analytic) = 0.8114287909615255 y2[1] (numeric) = 0.8114287909614417 absolute error = 8.382183835919932e-14 relative error = 1.033015334098168e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5844512958311555 y1[1] (numeric) = -0.584451295831259 absolute error = 1.034727858950646e-13 relative error = 1.770426152412146e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.195999999999869 y2[1] (analytic) = 0.8108439340487413 y2[1] (numeric) = 0.8108439340486573 absolute error = 8.404388296412435e-14 relative error = 1.036498880178739e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5852624322612553 y1[1] (numeric) = -0.5852624322613588 absolute error = 1.034727858950646e-13 relative error = 1.767972454600937e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.196999999999869 y2[1] (analytic) = 0.8102582662920906 y2[1] (numeric) = 0.8102582662920064 absolute error = 8.426592756904938e-14 relative error = 1.039988495947936e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5860729834289715 y1[1] (numeric) = -0.586072983429075 absolute error = 1.034727858950646e-13 relative error = 1.765527311797761e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.197999999999869 y2[1] (analytic) = 0.8096717882772412 y2[1] (numeric) = 0.8096717882771567 absolute error = 8.448797217397441e-14 relative error = 1.04348420430631e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5868829485237532 y1[1] (numeric) = -0.5868829485238567 absolute error = 1.034727858950646e-13 relative error = 1.763090683676196e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.198999999999869 y2[1] (analytic) = 0.8090845005906708 y2[1] (numeric) = 0.8090845005905862 absolute error = 8.459899447643693e-14 relative error = 1.045613831616791e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5876923267356353 y1[1] (numeric) = -0.5876923267357388 absolute error = 1.034727858950646e-13 relative error = 1.760662530167938e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.199999999999869 y2[1] (analytic) = 0.8084964038196675 y2[1] (numeric) = 0.8084964038195825 absolute error = 8.493206138382448e-14 relative error = 1.050493990852287e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5885011172552396 y1[1] (numeric) = -0.588501117255343 absolute error = 1.034727858950646e-13 relative error = 1.758242811460752e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.200999999999869 y2[1] (analytic) = 0.8079074985523276 y2[1] (numeric) = 0.8079074985522424 absolute error = 8.515410598874951e-14 relative error = 1.054008115302004e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5893093192737756 y1[1] (numeric) = -0.5893093192738791 absolute error = 1.034727858950646e-13 relative error = 1.755831487996446e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.201999999999869 y2[1] (analytic) = 0.8073177853775565 y2[1] (numeric) = 0.8073177853774711 absolute error = 8.537615059367454e-14 relative error = 1.057528424866137e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5901169319830416 y1[1] (numeric) = -0.590116931983145 absolute error = 1.033617635926021e-13 relative error = 1.751547159395393e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.202999999999868 y2[1] (analytic) = 0.8067272648850672 y2[1] (numeric) = 0.8067272648849817 absolute error = 8.548717289613705e-14 relative error = 1.059678736757661e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5909239545754247 y1[1] (numeric) = -0.590923954575528 absolute error = 1.033617635926021e-13 relative error = 1.749155078116048e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.203999999999868 y2[1] (analytic) = 0.8061359376653804 y2[1] (numeric) = 0.8061359376652947 absolute error = 8.570921750106208e-14 relative error = 1.063210477246323e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5917303862439024 y1[1] (numeric) = -0.5917303862440059 absolute error = 1.034727858950646e-13 relative error = 1.748647497247415e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.204999999999868 y2[1] (analytic) = 0.805543804309823 y2[1] (numeric) = 0.8055438043097372 absolute error = 8.58202398035246e-14 relative error = 1.065370242367564e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5925362261820433 y1[1] (numeric) = -0.5925362261821467 absolute error = 1.034727858950646e-13 relative error = 1.746269364183565e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.205999999999868 y2[1] (analytic) = 0.8049508654105285 y2[1] (numeric) = 0.8049508654104425 absolute error = 8.604228440844963e-14 relative error = 1.06891349653457e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5933414735840074 y1[1] (numeric) = -0.5933414735841108 absolute error = 1.034727858950646e-13 relative error = 1.743899432312556e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.206999999999868 y2[1] (analytic) = 0.8043571215604356 y2[1] (numeric) = 0.8043571215603494 absolute error = 8.615330671091215e-14 relative error = 1.071082786508766e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5941461276445472 y1[1] (numeric) = -0.5941461276446507 absolute error = 1.034727858950646e-13 relative error = 1.741537663558889e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.207999999999868 y2[1] (analytic) = 0.8037625733532883 y2[1] (numeric) = 0.8037625733532019 absolute error = 8.637535131583718e-14 relative error = 1.07463763777256e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.594950187559009 y1[1] (numeric) = -0.5949501875591124 absolute error = 1.034727858950646e-13 relative error = 1.739184020087427e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.208999999999868 y2[1] (analytic) = 0.8031672213836345 y2[1] (numeric) = 0.8031672213835479 absolute error = 8.659739592076221e-14 relative error = 1.078198831017766e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5957536525233328 y1[1] (numeric) = -0.5957536525234363 absolute error = 1.034727858950646e-13 relative error = 1.736838464301519e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.209999999999868 y2[1] (analytic) = 0.8025710662468262 y2[1] (numeric) = 0.8025710662467395 absolute error = 8.670841822322473e-14 relative error = 1.080383057275056e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5965565217340537 y1[1] (numeric) = -0.5965565217341572 absolute error = 1.034727858950646e-13 relative error = 1.73450095884113e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.210999999999868 y2[1] (analytic) = 0.8019741085390186 y2[1] (numeric) = 0.8019741085389317 absolute error = 8.693046282814976e-14 relative error = 1.083955976914438e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5973587943883026 y1[1] (numeric) = -0.5973587943884061 absolute error = 1.034727858950646e-13 relative error = 1.732171466581003e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.211999999999867 y2[1] (analytic) = 0.8013763488571694 y2[1] (numeric) = 0.8013763488570822 absolute error = 8.715250743307479e-14 relative error = 1.087535307940666e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5981604696838069 y1[1] (numeric) = -0.5981604696839103 absolute error = 1.034727858950646e-13 relative error = 1.729849950628821e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.212999999999867 y2[1] (analytic) = 0.800777787799038 y2[1] (numeric) = 0.8007777877989506 absolute error = 8.737455203799982e-14 relative error = 1.091121074651077e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5989615468188914 y1[1] (numeric) = -0.5989615468189948 absolute error = 1.034727858950646e-13 relative error = 1.727536374323405e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.213999999999867 y2[1] (analytic) = 0.8001784259631856 y2[1] (numeric) = 0.800178425963098 absolute error = 8.759659664292485e-14 relative error = 1.094713301442533e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5997620249924789 y1[1] (numeric) = -0.5997620249925824 absolute error = 1.034727858950646e-13 relative error = 1.725230701232912e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.214999999999867 y2[1] (analytic) = 0.7995782639489738 y2[1] (numeric) = 0.7995782639488861 absolute error = 8.770761894538737e-14 relative error = 1.096923502049882e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6005619034040913 y1[1] (numeric) = -0.6005619034041949 absolute error = 1.035838081975271e-13 relative error = 1.724781535598507e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.215999999999867 y2[1] (analytic) = 0.7989773023565647 y2[1] (numeric) = 0.7989773023564769 absolute error = 8.781864124784988e-14 relative error = 1.099138123058451e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6013611812538505 y1[1] (numeric) = -0.6013611812539541 absolute error = 1.035838081975271e-13 relative error = 1.722489103496051e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.216999999999867 y2[1] (analytic) = 0.7983755417869199 y2[1] (numeric) = 0.7983755417868319 absolute error = 8.804068585277491e-14 relative error = 1.102747782775543e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6021598577424786 y1[1] (numeric) = -0.6021598577425822 absolute error = 1.035838081975271e-13 relative error = 1.720204475035366e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.217999999999867 y2[1] (analytic) = 0.7977729828417999 y2[1] (numeric) = 0.7977729828417116 absolute error = 8.826273045769994e-14 relative error = 1.106363995221967e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.602957932071299 y1[1] (numeric) = -0.6029579320714027 absolute error = 1.036948304999896e-13 relative error = 1.719768908981329e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.218999999999867 y2[1] (analytic) = 0.7971696261237634 y2[1] (numeric) = 0.7971696261236749 absolute error = 8.848477506262498e-14 relative error = 1.109986785282853e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6037554034422377 y1[1] (numeric) = -0.6037554034423414 absolute error = 1.036948304999896e-13 relative error = 1.717497349237559e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.219999999999867 y2[1] (analytic) = 0.7965654722361674 y2[1] (numeric) = 0.7965654722360787 absolute error = 8.870681966755001e-14 relative error = 1.113616177946137e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6045522710578232 y1[1] (numeric) = -0.6045522710579269 absolute error = 1.036948304999896e-13 relative error = 1.715233495336115e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.220999999999866 y2[1] (analytic) = 0.7959605217831653 y2[1] (numeric) = 0.7959605217830765 absolute error = 8.881784197001252e-14 relative error = 1.115857376582405e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6053485341211881 y1[1] (numeric) = -0.6053485341212917 absolute error = 1.036948304999896e-13 relative error = 1.712977312326825e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.221999999999866 y2[1] (analytic) = 0.7953547753697079 y2[1] (numeric) = 0.7953547753696188 absolute error = 8.903988657493755e-14 relative error = 1.119498987524766e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6061441918360692 y1[1] (numeric) = -0.6061441918361729 absolute error = 1.036948304999896e-13 relative error = 1.710728765475554e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.222999999999866 y2[1] (analytic) = 0.7947482336015415 y2[1] (numeric) = 0.7947482336014521 absolute error = 8.93729534823251e-14 relative error = 1.124544222983873e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.606939243406809 y1[1] (numeric) = -0.6069392434069126 absolute error = 1.035838081975271e-13 relative error = 1.706658604180892e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.223999999999866 y2[1] (analytic) = 0.7941408970852075 y2[1] (numeric) = 0.794140897085118 absolute error = 8.948397578478762e-14 relative error = 1.126802260319637e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.607733688038356 y1[1] (numeric) = -0.6077336880384596 absolute error = 1.035838081975271e-13 relative error = 1.704427617495998e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.224999999999866 y2[1] (analytic) = 0.7935327664280427 y2[1] (numeric) = 0.793532766427953 absolute error = 8.970602038971265e-14 relative error = 1.130463973069563e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6085275249362656 y1[1] (numeric) = -0.6085275249363692 absolute error = 1.035838081975271e-13 relative error = 1.702204155980882e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.225999999999866 y2[1] (analytic) = 0.7929238422381776 y2[1] (numeric) = 0.7929238422380877 absolute error = 8.992806499463768e-14 relative error = 1.134132437496124e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.609320753306701 y1[1] (numeric) = -0.6093207533068046 absolute error = 1.035838081975271e-13 relative error = 1.699988185785431e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.226999999999866 y2[1] (analytic) = 0.7923141251245364 y2[1] (numeric) = 0.7923141251244462 absolute error = 9.015010959956271e-14 relative error = 1.13780767931397e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6101133723564339 y1[1] (numeric) = -0.6101133723565374 absolute error = 1.034727858950646e-13 relative error = 1.695959973724602e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.227999999999866 y2[1] (analytic) = 0.791703615696836 y2[1] (numeric) = 0.7917036156967456 absolute error = 9.037215420448774e-14 relative error = 1.141489724345197e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6109053812928452 y1[1] (numeric) = -0.6109053812929487 absolute error = 1.034727858950646e-13 relative error = 1.693761244598754e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.228999999999866 y2[1] (analytic) = 0.7910923145655859 y2[1] (numeric) = 0.7910923145654953 absolute error = 9.059419880941277e-14 relative error = 1.145178598519958e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6116967793239262 y1[1] (numeric) = -0.6116967793240297 absolute error = 1.034727858950646e-13 relative error = 1.691569898560316e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.229999999999865 y2[1] (analytic) = 0.7904802223420871 y2[1] (numeric) = 0.7904802223419964 absolute error = 9.070522111187529e-14 relative error = 1.147469836033694e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6124875656582788 y1[1] (numeric) = -0.6124875656583822 absolute error = 1.034727858950646e-13 relative error = 1.689385902615932e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.230999999999865 y2[1] (analytic) = 0.789867339638432 y2[1] (numeric) = 0.7898673396383411 absolute error = 9.092726571680032e-14 relative error = 1.151171356932203e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6132777395051168 y1[1] (numeric) = -0.6132777395052202 absolute error = 1.034727858950646e-13 relative error = 1.687209223973493e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.231999999999865 y2[1] (analytic) = 0.789253667067503 y2[1] (numeric) = 0.7892536670674118 absolute error = 9.114931032172535e-14 relative error = 1.154879782318827e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6140673000742664 y1[1] (numeric) = -0.6140673000743698 absolute error = 1.034727858950646e-13 relative error = 1.685039830040623e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.232999999999865 y2[1] (analytic) = 0.7886392052429727 y2[1] (numeric) = 0.7886392052428813 absolute error = 9.137135492665038e-14 relative error = 1.158595138552612e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6148562465761671 y1[1] (numeric) = -0.6148562465762705 absolute error = 1.033617635926021e-13 relative error = 1.68107202566735e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.233999999999865 y2[1] (analytic) = 0.7880239547793029 y2[1] (numeric) = 0.7880239547792113 absolute error = 9.159339953157541e-14 relative error = 1.162317452103692e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6156445782218725 y1[1] (numeric) = -0.6156445782219758 absolute error = 1.033617635926021e-13 relative error = 1.678919416315423e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.234999999999865 y2[1] (analytic) = 0.7874079162917439 y2[1] (numeric) = 0.7874079162916522 absolute error = 9.170442183403793e-14 relative error = 1.164636777668112e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6164322942230509 y1[1] (numeric) = -0.6164322942231543 absolute error = 1.033617635926021e-13 relative error = 1.676773987366753e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.235999999999865 y2[1] (analytic) = 0.7867910903963343 y2[1] (numeric) = 0.7867910903962424 absolute error = 9.192646643896296e-14 relative error = 1.168371980326523e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6172193937919864 y1[1] (numeric) = -0.6172193937920899 absolute error = 1.034727858950646e-13 relative error = 1.676434456463899e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.236999999999865 y2[1] (analytic) = 0.7861734777098999 y2[1] (numeric) = 0.7861734777098077 absolute error = 9.214851104388799e-14 relative error = 1.172114217237573e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6180058761415798 y1[1] (numeric) = -0.6180058761416831 absolute error = 1.033617635926021e-13 relative error = 1.672504543774318e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.237999999999865 y2[1] (analytic) = 0.7855550788500533 y2[1] (numeric) = 0.7855550788499609 absolute error = 9.237055564881302e-14 relative error = 1.175863515312396e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6187917404853482 y1[1] (numeric) = -0.6187917404854517 absolute error = 1.034727858950646e-13 relative error = 1.672174644960611e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.238999999999864 y2[1] (analytic) = 0.7849358944351932 y2[1] (numeric) = 0.7849358944351007 absolute error = 9.248157795127554e-14 relative error = 1.178205489224332e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6195769860374279 y1[1] (numeric) = -0.6195769860375314 absolute error = 1.034727858950646e-13 relative error = 1.670055347872684e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.239999999999864 y2[1] (analytic) = 0.7843159250845042 y2[1] (numeric) = 0.7843159250844115 absolute error = 9.270362255620057e-14 relative error = 1.181967872783055e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6203616120125732 y1[1] (numeric) = -0.6203616120126767 absolute error = 1.034727858950646e-13 relative error = 1.667943081767726e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.240999999999864 y2[1] (analytic) = 0.7836951714179554 y2[1] (numeric) = 0.7836951714178625 absolute error = 9.29256671611256e-14 relative error = 1.185737395740149e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6211456176261582 y1[1] (numeric) = -0.6211456176262616 absolute error = 1.034727858950646e-13 relative error = 1.665837815784778e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.241999999999864 y2[1] (analytic) = 0.7830736340563005 y2[1] (numeric) = 0.7830736340562074 absolute error = 9.303668946358812e-14 relative error = 1.18809630943211e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6219290020941772 y1[1] (numeric) = -0.6219290020942807 absolute error = 1.034727858950646e-13 relative error = 1.663739519248146e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.242999999999864 y2[1] (analytic) = 0.7824513136210769 y2[1] (numeric) = 0.7824513136209835 absolute error = 9.336975637097567e-14 relative error = 1.193297969414522e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6227117646332461 y1[1] (numeric) = -0.6227117646333495 absolute error = 1.034727858950646e-13 relative error = 1.661648161666035e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.243999999999864 y2[1] (analytic) = 0.7818282107346047 y2[1] (numeric) = 0.7818282107345113 absolute error = 9.348077867343818e-14 relative error = 1.195669040716806e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6234939044606022 y1[1] (numeric) = -0.6234939044607056 absolute error = 1.034727858950646e-13 relative error = 1.659563712729174e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.244999999999864 y2[1] (analytic) = 0.7812043260199871 y2[1] (numeric) = 0.7812043260198933 absolute error = 9.381384558082573e-14 relative error = 1.20088743054945e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6242754207941057 y1[1] (numeric) = -0.6242754207942092 absolute error = 1.034727858950646e-13 relative error = 1.657486142309474e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.245999999999864 y2[1] (analytic) = 0.7805796601011085 y2[1] (numeric) = 0.7805796601010145 absolute error = 9.392486788328824e-14 relative error = 1.203270757415357e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6250563128522405 y1[1] (numeric) = -0.625056312852344 absolute error = 1.034727858950646e-13 relative error = 1.655415420458683e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.246999999999864 y2[1] (analytic) = 0.7799542136026348 y2[1] (numeric) = 0.7799542136025407 absolute error = 9.414691248821327e-14 relative error = 1.20708255492775e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6258365798541146 y1[1] (numeric) = -0.625836579854218 absolute error = 1.034727858950646e-13 relative error = 1.653351517407061e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.247999999999863 y2[1] (analytic) = 0.7793279871500126 y2[1] (numeric) = 0.7793279871499182 absolute error = 9.436895709313831e-14 relative error = 1.210901682592508e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6266162210194609 y1[1] (numeric) = -0.6266162210195644 absolute error = 1.034727858950646e-13 relative error = 1.651294403562065e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.248999999999863 y2[1] (analytic) = 0.7787009813694681 y2[1] (numeric) = 0.7787009813693736 absolute error = 9.447997939560082e-14 relative error = 1.213302431306083e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6273952355686384 y1[1] (numeric) = -0.6273952355687419 absolute error = 1.034727858950646e-13 relative error = 1.649244049507042e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.249999999999863 y2[1] (analytic) = 0.7780731968880071 y2[1] (numeric) = 0.7780731968879124 absolute error = 9.470202400052585e-14 relative error = 1.217135153598626e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6281736227226327 y1[1] (numeric) = -0.6281736227227361 absolute error = 1.034727858950646e-13 relative error = 1.64720042599994e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.250999999999863 y2[1] (analytic) = 0.7774446343334142 y2[1] (numeric) = 0.7774446343333192 absolute error = 9.492406860545088e-14 relative error = 1.220975287672277e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6289513817030565 y1[1] (numeric) = -0.62895138170316 absolute error = 1.034727858950646e-13 relative error = 1.645163503972023e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.251999999999863 y2[1] (analytic) = 0.7768152943342517 y2[1] (numeric) = 0.7768152943341565 absolute error = 9.514611321037592e-14 relative error = 1.224822862066822e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6297285117321512 y1[1] (numeric) = -0.6297285117322545 absolute error = 1.033617635926021e-13 relative error = 1.641370236013166e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.252999999999863 y2[1] (analytic) = 0.7761851775198595 y2[1] (numeric) = 0.7761851775197642 absolute error = 9.525713551283843e-14 relative error = 1.227247546999198e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6305050120327864 y1[1] (numeric) = -0.6305050120328899 absolute error = 1.034727858950646e-13 relative error = 1.641109648937794e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.253999999999863 y2[1] (analytic) = 0.7755542845203546 y2[1] (numeric) = 0.7755542845202591 absolute error = 9.547918011776346e-14 relative error = 1.231108924590792e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6312808818284623 y1[1] (numeric) = -0.6312808818285657 absolute error = 1.033617635926021e-13 relative error = 1.637333975539093e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.254999999999863 y2[1] (analytic) = 0.7749226159666297 y2[1] (numeric) = 0.774922615966534 absolute error = 9.570122472268849e-14 relative error = 1.234977825538255e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6320561203433089 y1[1] (numeric) = -0.6320561203434123 absolute error = 1.033617635926021e-13 relative error = 1.635325729247901e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.255999999999863 y2[1] (analytic) = 0.7742901724903534 y2[1] (numeric) = 0.7742901724902576 absolute error = 9.581224702515101e-14 relative error = 1.237420419750255e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6328307268020879 y1[1] (numeric) = -0.6328307268021912 absolute error = 1.033617635926021e-13 relative error = 1.633324034610721e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.256999999999862 y2[1] (analytic) = 0.7736569547239692 y2[1] (numeric) = 0.7736569547238731 absolute error = 9.614531393253856e-14 relative error = 1.242738313738057e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6336047004301927 y1[1] (numeric) = -0.633604700430296 absolute error = 1.033617635926021e-13 relative error = 1.631328863602551e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.257999999999862 y2[1] (analytic) = 0.7730229633006948 y2[1] (numeric) = 0.7730229633005984 absolute error = 9.636735853746359e-14 relative error = 1.246629959425644e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.63437804045365 y1[1] (numeric) = -0.6343780404537532 absolute error = 1.032507412901396e-13 relative error = 1.627590091490304e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.258999999999862 y2[1] (analytic) = 0.7723881988545214 y2[1] (numeric) = 0.7723881988544248 absolute error = 9.658940314238862e-14 relative error = 1.250529245341061e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6351507460991196 y1[1] (numeric) = -0.6351507460992228 absolute error = 1.032507412901396e-13 relative error = 1.625610013438079e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.259999999999862 y2[1] (analytic) = 0.7717526620202135 y2[1] (numeric) = 0.7717526620201167 absolute error = 9.681144774731365e-14 relative error = 1.25443620102185e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6359228165938962 y1[1] (numeric) = -0.6359228165939993 absolute error = 1.03139718987677e-13 relative error = 1.621890523446065e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.260999999999862 y2[1] (analytic) = 0.771116353433308 y2[1] (numeric) = 0.7711163534332109 absolute error = 9.703349235223868e-14 relative error = 1.25835085613485e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6366942511659091 y1[1] (numeric) = -0.6366942511660122 absolute error = 1.03139718987677e-13 relative error = 1.619925400595474e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.261999999999862 y2[1] (analytic) = 0.7704792737301133 y2[1] (numeric) = 0.770479273730016 absolute error = 9.725553695716371e-14 relative error = 1.26227324047695e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6374650490437238 y1[1] (numeric) = -0.6374650490438269 absolute error = 1.03139718987677e-13 relative error = 1.617966649973977e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.262999999999862 y2[1] (analytic) = 0.769841423547709 y2[1] (numeric) = 0.7698414235476115 absolute error = 9.747758156208874e-14 relative error = 1.26620338397584e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6382352094565427 y1[1] (numeric) = -0.6382352094566458 absolute error = 1.03139718987677e-13 relative error = 1.616014244583913e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.263999999999862 y2[1] (analytic) = 0.7692028035239453 y2[1] (numeric) = 0.7692028035238477 absolute error = 9.758860386455126e-14 relative error = 1.268697974285442e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6390047316342052 y1[1] (numeric) = -0.6390047316343084 absolute error = 1.03139718987677e-13 relative error = 1.614068157584767e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.264999999999862 y2[1] (analytic) = 0.7685634142974423 y2[1] (numeric) = 0.7685634142973444 absolute error = 9.792167077193881e-14 relative error = 1.274087068813323e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6397736148071894 y1[1] (numeric) = -0.6397736148072926 absolute error = 1.03139718987677e-13 relative error = 1.612128362292036e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.265999999999861 y2[1] (analytic) = 0.767923256507589 y2[1] (numeric) = 0.7679232565074909 absolute error = 9.803269307440132e-14 relative error = 1.276594923303153e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6405418582066121 y1[1] (numeric) = -0.6405418582067153 absolute error = 1.03139718987677e-13 relative error = 1.610194832176111e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.266999999999861 y2[1] (analytic) = 0.7672823307945432 y2[1] (numeric) = 0.7672823307944449 absolute error = 9.836575998178887e-14 relative error = 1.282002152713829e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.64130946106423 y1[1] (numeric) = -0.6413094610643332 absolute error = 1.03139718987677e-13 relative error = 1.608267540861168e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.267999999999861 y2[1] (analytic) = 0.7666406377992305 y2[1] (numeric) = 0.7666406377991319 absolute error = 9.85878045867139e-14 relative error = 1.28597154554351e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6420764226124404 y1[1] (numeric) = -0.6420764226125434 absolute error = 1.030286966852145e-13 relative error = 1.604617348601866e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.268999999999861 y2[1] (analytic) = 0.7659981781633439 y2[1] (numeric) = 0.7659981781632451 absolute error = 9.880984919163893e-14 relative error = 1.289948879885827e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6428427420842815 y1[1] (numeric) = -0.6428427420843845 absolute error = 1.030286966852145e-13 relative error = 1.602704517611349e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.269999999999861 y2[1] (analytic) = 0.7653549525293429 y2[1] (numeric) = 0.765354952529244 absolute error = 9.892087149410145e-14 relative error = 1.292483587741714e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6436084187134341 y1[1] (numeric) = -0.6436084187135371 absolute error = 1.030286966852145e-13 relative error = 1.600797840574673e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.270999999999861 y2[1] (analytic) = 0.7647109615404533 y2[1] (numeric) = 0.7647109615403541 absolute error = 9.914291609902648e-14 relative error = 1.296475676238646e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6443734517342217 y1[1] (numeric) = -0.6443734517343247 absolute error = 1.030286966852145e-13 relative error = 1.598897291747981e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.271999999999861 y2[1] (analytic) = 0.7640662058406658 y2[1] (numeric) = 0.7640662058405664 absolute error = 9.936496070395151e-14 relative error = 1.30047579574109e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6451378403816113 y1[1] (numeric) = -0.6451378403817142 absolute error = 1.02917674382752e-13 relative error = 1.595281937296908e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.272999999999861 y2[1] (analytic) = 0.7634206860747361 y2[1] (numeric) = 0.7634206860746365 absolute error = 9.958700530887654e-14 relative error = 1.304483977516e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6459015838912141 y1[1] (numeric) = -0.645901583891317 absolute error = 1.02917674382752e-13 relative error = 1.593395603130862e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.273999999999861 y2[1] (analytic) = 0.762774402888184 y2[1] (numeric) = 0.7627744028880842 absolute error = 9.980904991380157e-14 relative error = 1.30850025296972e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.646664681499287 y1[1] (numeric) = -0.6466646814993898 absolute error = 1.028066520802895e-13 relative error = 1.589798469307664e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27499999999986 y2[1] (analytic) = 0.7621273569272926 y2[1] (numeric) = 0.7621273569271926 absolute error = 1.000310945187266e-13 relative error = 1.312524653648795e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6474271324427322 y1[1] (numeric) = -0.647427132442835 absolute error = 1.028066520802895e-13 relative error = 1.587926222560393e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27599999999986 y2[1] (analytic) = 0.7614795488391077 y2[1] (numeric) = 0.7614795488390075 absolute error = 1.002531391236516e-13 relative error = 1.316557211240798e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.648188935959099 y1[1] (numeric) = -0.6481889359592017 absolute error = 1.02695629777827e-13 relative error = 1.584347156834333e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27699999999986 y2[1] (analytic) = 0.7608309792714375 y2[1] (numeric) = 0.760830979271337 absolute error = 1.004751837285767e-13 relative error = 1.320597957575157e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6489500912865838 y1[1] (numeric) = -0.6489500912866865 absolute error = 1.02695629777827e-13 relative error = 1.582488871743997e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27799999999986 y2[1] (analytic) = 0.7601816488728514 y2[1] (numeric) = 0.7601816488727507 absolute error = 1.006972283335017e-13 relative error = 1.324646924623991e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6497105976640314 y1[1] (numeric) = -0.6497105976641341 absolute error = 1.02695629777827e-13 relative error = 1.580636519506665e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27899999999986 y2[1] (analytic) = 0.7595315582926798 y2[1] (numeric) = 0.7595315582925789 absolute error = 1.009192729384267e-13 relative error = 1.32870414450295e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6504704543309354 y1[1] (numeric) = -0.6504704543310381 absolute error = 1.02695629777827e-13 relative error = 1.578790075614706e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27999999999986 y2[1] (analytic) = 0.7588807081810132 y2[1] (numeric) = 0.758880708180912 absolute error = 1.011413175433518e-13 relative error = 1.33276964947206e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6512296605274394 y1[1] (numeric) = -0.6512296605275421 absolute error = 1.02695629777827e-13 relative error = 1.576949515700075e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.28099999999986 y2[1] (analytic) = 0.7582290991887016 y2[1] (numeric) = 0.7582290991886003 absolute error = 1.013633621482768e-13 relative error = 1.336843471936578e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6519882154943371 y1[1] (numeric) = -0.6519882154944397 absolute error = 1.02695629777827e-13 relative error = 1.575114815533333e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.28199999999986 y2[1] (analytic) = 0.757576731967354 y2[1] (numeric) = 0.7575767319672525 absolute error = 1.014743844507393e-13 relative error = 1.339460151940254e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6527461184730736 y1[1] (numeric) = -0.6527461184731762 absolute error = 1.025846074753645e-13 relative error = 1.571585101345894e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.28299999999986 y2[1] (analytic) = 0.7569236071693376 y2[1] (numeric) = 0.7569236071692359 absolute error = 1.016964290556643e-13 relative error = 1.343549442670679e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6535033687057461 y1[1] (numeric) = -0.6535033687058487 absolute error = 1.025846074753645e-13 relative error = 1.569764019404089e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.283999999999859 y2[1] (analytic) = 0.7562697254477772 y2[1] (numeric) = 0.7562697254476752 absolute error = 1.019184736605894e-13 relative error = 1.347647145338851e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6542599654351042 y1[1] (numeric) = -0.6542599654352069 absolute error = 1.02695629777827e-13 relative error = 1.569645633284791e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.284999999999859 y2[1] (analytic) = 0.7556150874565541 y2[1] (numeric) = 0.7556150874564521 absolute error = 1.020294959630519e-13 relative error = 1.350283995870031e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6550159079045516 y1[1] (numeric) = -0.6550159079046542 absolute error = 1.02695629777827e-13 relative error = 1.567834132553491e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.285999999999859 y2[1] (analytic) = 0.7549596938503068 y2[1] (numeric) = 0.7549596938502044 absolute error = 1.023625628704394e-13 relative error = 1.355867918569118e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6557711953581455 y1[1] (numeric) = -0.6557711953582482 absolute error = 1.02695629777827e-13 relative error = 1.566028372468241e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.286999999999859 y2[1] (analytic) = 0.7543035452844284 y2[1] (numeric) = 0.7543035452843259 absolute error = 1.025846074753645e-13 relative error = 1.359991055546245e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6565258270405988 y1[1] (numeric) = -0.6565258270407015 absolute error = 1.02695629777827e-13 relative error = 1.564228329611112e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.287999999999859 y2[1] (analytic) = 0.7536466424150676 y2[1] (numeric) = 0.7536466424149649 absolute error = 1.02695629777827e-13 relative error = 1.362649602587466e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6572798021972797 y1[1] (numeric) = -0.6572798021973825 absolute error = 1.028066520802895e-13 relative error = 1.564123098513113e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.288999999999859 y2[1] (analytic) = 0.7529889858991273 y2[1] (numeric) = 0.7529889858990243 absolute error = 1.030286966852145e-13 relative error = 1.36826299739551e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6580331200742132 y1[1] (numeric) = -0.6580331200743159 absolute error = 1.02695629777827e-13 relative error = 1.560645302568432e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.289999999999859 y2[1] (analytic) = 0.7523305763942637 y2[1] (numeric) = 0.7523305763941606 absolute error = 1.03139718987677e-13 relative error = 1.370936157905484e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6587857799180815 y1[1] (numeric) = -0.6587857799181842 absolute error = 1.02695629777827e-13 relative error = 1.558862272203218e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.290999999999859 y2[1] (analytic) = 0.7516714145588865 y2[1] (numeric) = 0.7516714145587832 absolute error = 1.033617635926021e-13 relative error = 1.375092381998579e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6595377809762247 y1[1] (numeric) = -0.6595377809763274 absolute error = 1.02695629777827e-13 relative error = 1.55708486670499e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.291999999999859 y2[1] (analytic) = 0.7510115010521573 y2[1] (numeric) = 0.7510115010520538 absolute error = 1.034727858950646e-13 relative error = 1.377778978751997e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.660289122496642 y1[1] (numeric) = -0.6602891224967447 absolute error = 1.02695629777827e-13 relative error = 1.555313063306586e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.292999999999858 y2[1] (analytic) = 0.7503508365339897 y2[1] (numeric) = 0.750350836533886 absolute error = 1.036948304999896e-13 relative error = 1.381951287999829e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6610398037279918 y1[1] (numeric) = -0.6610398037280943 absolute error = 1.025846074753645e-13 relative error = 1.551867329271696e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.293999999999858 y2[1] (analytic) = 0.7496894216650482 y2[1] (numeric) = 0.7496894216649441 absolute error = 1.040278974073772e-13 relative error = 1.387613248914902e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6617898239195928 y1[1] (numeric) = -0.6617898239196954 absolute error = 1.025846074753645e-13 relative error = 1.550108565704214e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.294999999999858 y2[1] (analytic) = 0.7490272571067473 y2[1] (numeric) = 0.7490272571066431 absolute error = 1.042499420123022e-13 relative error = 1.391804383928382e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6625391823214252 y1[1] (numeric) = -0.6625391823215278 absolute error = 1.025846074753645e-13 relative error = 1.548355330713051e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.295999999999858 y2[1] (analytic) = 0.7483643435212518 y2[1] (numeric) = 0.7483643435211473 absolute error = 1.044719866172272e-13 relative error = 1.396004332938405e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6632878781841304 y1[1] (numeric) = -0.663287878184233 absolute error = 1.025846074753645e-13 relative error = 1.546607602059731e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.296999999999858 y2[1] (analytic) = 0.7477006815714752 y2[1] (numeric) = 0.7477006815713705 absolute error = 1.046940312221523e-13 relative error = 1.400213130769284e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6640359107590128 y1[1] (numeric) = -0.6640359107591153 absolute error = 1.024735851729019e-13 relative error = 1.543193425424411e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.297999999999858 y2[1] (analytic) = 0.7470362719210792 y2[1] (numeric) = 0.7470362719209743 absolute error = 1.049160758270773e-13 relative error = 1.404430812405869e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6647832792980397 y1[1] (numeric) = -0.6647832792981422 absolute error = 1.024735851729019e-13 relative error = 1.541458522860356e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.298999999999858 y2[1] (analytic) = 0.7463711152344736 y2[1] (numeric) = 0.7463711152343685 absolute error = 1.051381204320023e-13 relative error = 1.408657412994513e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6655299830538427 y1[1] (numeric) = -0.6655299830539452 absolute error = 1.024735851729019e-13 relative error = 1.539729054770649e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.299999999999858 y2[1] (analytic) = 0.745705212176815 y2[1] (numeric) = 0.7457052121767097 absolute error = 1.052491427344648e-13 relative error = 1.41140414490638e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6662760212797181 y1[1] (numeric) = -0.6662760212798206 absolute error = 1.024735851729019e-13 relative error = 1.538004999430726e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.300999999999858 y2[1] (analytic) = 0.7450385634140063 y2[1] (numeric) = 0.7450385634139008 absolute error = 1.054711873393899e-13 relative error = 1.415647357313787e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6670213932296277 y1[1] (numeric) = -0.6670213932297302 absolute error = 1.024735851729019e-13 relative error = 1.536286335236396e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.301999999999857 y2[1] (analytic) = 0.7443711696126963 y2[1] (numeric) = 0.7443711696125906 absolute error = 1.056932319443149e-13 relative error = 1.419899591212112e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6677660981581998 y1[1] (numeric) = -0.6677660981583022 absolute error = 1.024735851729019e-13 relative error = 1.534573040703019e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.302999999999857 y2[1] (analytic) = 0.7437030314402787 y2[1] (numeric) = 0.7437030314401728 absolute error = 1.059152765492399e-13 relative error = 1.424160882390395e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6685101353207292 y1[1] (numeric) = -0.6685101353208317 absolute error = 1.024735851729019e-13 relative error = 1.532865094464701e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.303999999999857 y2[1] (analytic) = 0.7430341495648917 y2[1] (numeric) = 0.7430341495647855 absolute error = 1.06137321154165e-13 relative error = 1.428431266804052e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6692535039731792 y1[1] (numeric) = -0.6692535039732815 absolute error = 1.023625628704394e-13 relative error = 1.529503577683796e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.304999999999857 y2[1] (analytic) = 0.742364524655417 y2[1] (numeric) = 0.7423645246553107 absolute error = 1.0635936575909e-13 relative error = 1.432710780575874e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6699962033721808 y1[1] (numeric) = -0.6699962033722832 absolute error = 1.023625628704394e-13 relative error = 1.527808103318122e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.305999999999857 y2[1] (analytic) = 0.7416941573814796 y2[1] (numeric) = 0.741694157381373 absolute error = 1.06581410364015e-13 relative error = 1.436999459997046e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.670738232775035 y1[1] (numeric) = -0.6707382327751373 absolute error = 1.023625628704394e-13 relative error = 1.526117908128427e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.306999999999857 y2[1] (analytic) = 0.7410230484134465 y2[1] (numeric) = 0.7410230484133398 absolute error = 1.066924326664775e-13 relative error = 1.439799111443421e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6714795914397123 y1[1] (numeric) = -0.6714795914398146 absolute error = 1.023625628704394e-13 relative error = 1.52443297123841e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.307999999999857 y2[1] (analytic) = 0.7403511984224268 y2[1] (numeric) = 0.7403511984223199 absolute error = 1.069144772714026e-13 relative error = 1.444104872109624e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.672220278624854 y1[1] (numeric) = -0.6722202786249564 absolute error = 1.023625628704394e-13 relative error = 1.522753271886416e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.308999999999857 y2[1] (analytic) = 0.7396786080802704 y2[1] (numeric) = 0.7396786080801633 absolute error = 1.071365218763276e-13 relative error = 1.448419904347174e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6729602935897733 y1[1] (numeric) = -0.6729602935898755 absolute error = 1.022515405679769e-13 relative error = 1.519429029349359e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.309999999999857 y2[1] (analytic) = 0.7390052780595675 y2[1] (numeric) = 0.7390052780594601 absolute error = 1.073585664812526e-13 relative error = 1.452744245117543e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6736996355944549 y1[1] (numeric) = -0.6736996355945571 absolute error = 1.022515405679769e-13 relative error = 1.517761553748695e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.310999999999857 y2[1] (analytic) = 0.7383312090336481 y2[1] (numeric) = 0.7383312090335405 absolute error = 1.075806110861777e-13 relative error = 1.457077931555713e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6744383038995572 y1[1] (numeric) = -0.6744383038996593 absolute error = 1.021405182655144e-13 relative error = 1.514453103789402e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.311999999999856 y2[1] (analytic) = 0.7376564016765813 y2[1] (numeric) = 0.7376564016764735 absolute error = 1.078026556911027e-13 relative error = 1.461421000971232e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6751762977664116 y1[1] (numeric) = -0.6751762977665138 absolute error = 1.021405182655144e-13 relative error = 1.512797747838767e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.312999999999856 y2[1] (analytic) = 0.7369808566631743 y2[1] (numeric) = 0.7369808566630662 absolute error = 1.080247002960277e-13 relative error = 1.465773490849285e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6759136164570246 y1[1] (numeric) = -0.6759136164571268 absolute error = 1.021405182655144e-13 relative error = 1.511147516170931e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.313999999999856 y2[1] (analytic) = 0.7363045746689719 y2[1] (numeric) = 0.7363045746688637 absolute error = 1.082467449009528e-13 relative error = 1.47013543885176e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6766502592340776 y1[1] (numeric) = -0.6766502592341797 absolute error = 1.020294959630519e-13 relative error = 1.507861625273629e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.314999999999856 y2[1] (analytic) = 0.7356275563702562 y2[1] (numeric) = 0.7356275563701479 absolute error = 1.083577672034153e-13 relative error = 1.472997663900408e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6773862253609276 y1[1] (numeric) = -0.6773862253610297 absolute error = 1.020294959630519e-13 relative error = 1.506223364797359e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.315999999999856 y2[1] (analytic) = 0.7349498024440456 y2[1] (numeric) = 0.7349498024439369 absolute error = 1.086908341108028e-13 relative error = 1.478887860767577e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6781215141016087 y1[1] (numeric) = -0.6781215141017107 absolute error = 1.020294959630519e-13 relative error = 1.504590163286929e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.316999999999856 y2[1] (analytic) = 0.7342713135680937 y2[1] (numeric) = 0.7342713135679848 absolute error = 1.089128787157279e-13 relative error = 1.483278410898013e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6788561247208322 y1[1] (numeric) = -0.6788561247209343 absolute error = 1.020294959630519e-13 relative error = 1.502962001042706e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.317999999999856 y2[1] (analytic) = 0.7335920904208895 y2[1] (numeric) = 0.7335920904207803 absolute error = 1.091349233206529e-13 relative error = 1.487678571589261e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6795900564839876 y1[1] (numeric) = -0.6795900564840897 absolute error = 1.020294959630519e-13 relative error = 1.501338858471892e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.318999999999856 y2[1] (analytic) = 0.7329121336816559 y2[1] (numeric) = 0.7329121336815465 absolute error = 1.093569679255779e-13 relative error = 1.492088381403134e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6803233086571432 y1[1] (numeric) = -0.6803233086572452 absolute error = 1.020294959630519e-13 relative error = 1.49972071608781e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.319999999999856 y2[1] (analytic) = 0.7322314440303498 y2[1] (numeric) = 0.7322314440302401 absolute error = 1.096900348329655e-13 relative error = 1.498024097807236e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6810558805070468 y1[1] (numeric) = -0.6810558805071487 absolute error = 1.019184736605894e-13 relative error = 1.496477404830731e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.320999999999855 y2[1] (analytic) = 0.7315500221476605 y2[1] (numeric) = 0.7315500221475507 absolute error = 1.09801057135428e-13 relative error = 1.500937103563713e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6817877713011267 y1[1] (numeric) = -0.6817877713012285 absolute error = 1.018074513581269e-13 relative error = 1.493242554993867e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.321999999999855 y2[1] (analytic) = 0.7308678687150102 y2[1] (numeric) = 0.7308678687149002 absolute error = 1.10023101740353e-13 relative error = 1.505376093955154e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6825189803074919 y1[1] (numeric) = -0.6825189803075938 absolute error = 1.019184736605894e-13 relative error = 1.493269441601061e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.322999999999855 y2[1] (analytic) = 0.730184984414552 y2[1] (numeric) = 0.7301849844144418 absolute error = 1.10245146345278e-13 relative error = 1.509824889560971e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6832495067949339 y1[1] (numeric) = -0.6832495067950357 absolute error = 1.018074513581269e-13 relative error = 1.490047930450723e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.323999999999855 y2[1] (analytic) = 0.7295013699291704 y2[1] (numeric) = 0.7295013699290599 absolute error = 1.104671909502031e-13 relative error = 1.514283529870941e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6839793500329259 y1[1] (numeric) = -0.6839793500330277 absolute error = 1.018074513581269e-13 relative error = 1.488457968113013e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.324999999999855 y2[1] (analytic) = 0.7288170259424794 y2[1] (numeric) = 0.7288170259423689 absolute error = 1.105782132526656e-13 relative error = 1.51722873254326e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.684708509291625 y1[1] (numeric) = -0.6847085092917267 absolute error = 1.016964290556643e-13 relative error = 1.485251427076258e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.325999999999855 y2[1] (analytic) = 0.7281319531388234 y2[1] (numeric) = 0.7281319531387126 absolute error = 1.108002578575906e-13 relative error = 1.521705748250081e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6854369838418717 y1[1] (numeric) = -0.6854369838419734 absolute error = 1.016964290556643e-13 relative error = 1.483672918926204e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.326999999999855 y2[1] (analytic) = 0.7274461522032748 y2[1] (numeric) = 0.7274461522031639 absolute error = 1.109112801600531e-13 relative error = 1.52466653131819e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6861647729551917 y1[1] (numeric) = -0.6861647729552934 absolute error = 1.016964290556643e-13 relative error = 1.482099242980306e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.327999999999855 y2[1] (analytic) = 0.7267596238216347 y2[1] (numeric) = 0.7267596238215236 absolute error = 1.111333247649782e-13 relative error = 1.529162065726605e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6868918759037961 y1[1] (numeric) = -0.6868918759038977 absolute error = 1.015854067532018e-13 relative error = 1.478914081194193e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.328999999999855 y2[1] (analytic) = 0.7260723686804313 y2[1] (numeric) = 0.72607236868032 absolute error = 1.113553693699032e-13 relative error = 1.533667636633538e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6876182919605817 y1[1] (numeric) = -0.6876182919606832 absolute error = 1.015854067532018e-13 relative error = 1.477351721746013e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.329999999999854 y2[1] (analytic) = 0.7253843874669198 y2[1] (numeric) = 0.7253843874668082 absolute error = 1.115774139748282e-13 relative error = 1.53818328465081e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6883440203991327 y1[1] (numeric) = -0.6883440203992341 absolute error = 1.014743844507393e-13 relative error = 1.474181244312981e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.330999999999854 y2[1] (analytic) = 0.7246956808690812 y2[1] (numeric) = 0.7246956808689694 absolute error = 1.117994585797533e-13 relative error = 1.5427090505863e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6890690604937206 y1[1] (numeric) = -0.689069060493822 absolute error = 1.013633621482768e-13 relative error = 1.471018914644775e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.331999999999854 y2[1] (analytic) = 0.7240062495756222 y2[1] (numeric) = 0.7240062495755102 absolute error = 1.120215031846783e-13 relative error = 1.54724497544517e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6897934115193055 y1[1] (numeric) = -0.6897934115194069 absolute error = 1.013633621482768e-13 relative error = 1.469474199891512e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.332999999999854 y2[1] (analytic) = 0.7233160942759739 y2[1] (numeric) = 0.7233160942758616 absolute error = 1.122435477896033e-13 relative error = 1.551791100431092e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6905170727515363 y1[1] (numeric) = -0.6905170727516377 absolute error = 1.013633621482768e-13 relative error = 1.467934192334584e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.333999999999854 y2[1] (analytic) = 0.7226252156602916 y2[1] (numeric) = 0.7226252156601791 absolute error = 1.124655923945284e-13 relative error = 1.556347466947497e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6912400434667519 y1[1] (numeric) = -0.6912400434668532 absolute error = 1.012523398458143e-13 relative error = 1.464792741722644e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.334999999999854 y2[1] (analytic) = 0.7219336144194539 y2[1] (numeric) = 0.7219336144193411 absolute error = 1.127986593019159e-13 relative error = 1.562451963019113e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6919623229419817 y1[1] (numeric) = -0.6919623229420829 absolute error = 1.012523398458143e-13 relative error = 1.463263771578267e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.335999999999854 y2[1] (analytic) = 0.7212412912450619 y2[1] (numeric) = 0.721241291244949 absolute error = 1.129096816043784e-13 relative error = 1.565491091191758e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6926839104549462 y1[1] (numeric) = -0.6926839104550474 absolute error = 1.012523398458143e-13 relative error = 1.461739450239475e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.336999999999854 y2[1] (analytic) = 0.7205482468294387 y2[1] (numeric) = 0.7205482468293256 absolute error = 1.131317262093035e-13 relative error = 1.570078432736551e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6934048052840579 y1[1] (numeric) = -0.6934048052841592 absolute error = 1.012523398458143e-13 relative error = 1.460219760149132e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.337999999999854 y2[1] (analytic) = 0.7198544818656288 y2[1] (numeric) = 0.7198544818655155 absolute error = 1.133537708142285e-13 relative error = 1.574676183448249e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6941250067084221 y1[1] (numeric) = -0.6941250067085234 absolute error = 1.012523398458143e-13 relative error = 1.45870468384302e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.338999999999853 y2[1] (analytic) = 0.7191599970473971 y2[1] (numeric) = 0.7191599970472835 absolute error = 1.135758154191535e-13 relative error = 1.579284385748004e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6948445140078374 y1[1] (numeric) = -0.6948445140079388 absolute error = 1.013633621482768e-13 relative error = 1.458792004611459e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.339999999999853 y2[1] (analytic) = 0.7184647930692282 y2[1] (numeric) = 0.7184647930691144 absolute error = 1.137978600240785e-13 relative error = 1.583903082264373e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6955633264627967 y1[1] (numeric) = -0.695563326462898 absolute error = 1.012523398458143e-13 relative error = 1.455688303187588e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.340999999999853 y2[1] (analytic) = 0.7177688706263261 y2[1] (numeric) = 0.7177688706262121 absolute error = 1.140199046290036e-13 relative error = 1.588532315834617e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6962814433544875 y1[1] (numeric) = -0.6962814433545887 absolute error = 1.012523398458143e-13 relative error = 1.454186964369021e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.341999999999853 y2[1] (analytic) = 0.7170722304146131 y2[1] (numeric) = 0.717072230414499 absolute error = 1.141309269314661e-13 relative error = 1.591623857271328e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6969988639647929 y1[1] (numeric) = -0.6969988639648942 absolute error = 1.012523398458143e-13 relative error = 1.452690170395009e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.342999999999853 y2[1] (analytic) = 0.7163748731307296 y2[1] (numeric) = 0.7163748731306152 absolute error = 1.143529715363911e-13 relative error = 1.596272787132263e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6977155875762925 y1[1] (numeric) = -0.6977155875763937 absolute error = 1.012523398458143e-13 relative error = 1.45119790425698e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.343999999999853 y2[1] (analytic) = 0.7156767994720326 y2[1] (numeric) = 0.715676799471918 absolute error = 1.145750161413162e-13 relative error = 1.600932379334361e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6984316134722627 y1[1] (numeric) = -0.6984316134723638 absolute error = 1.011413175433518e-13 relative error = 1.448120554574073e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.344999999999853 y2[1] (analytic) = 0.7149780101365957 y2[1] (numeric) = 0.7149780101364809 absolute error = 1.147970607462412e-13 relative error = 1.605602677546815e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6991469409366775 y1[1] (numeric) = -0.6991469409367786 absolute error = 1.011413175433518e-13 relative error = 1.446638919822038e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.345999999999853 y2[1] (analytic) = 0.7142785058232083 y2[1] (numeric) = 0.7142785058230933 absolute error = 1.150191053511662e-13 relative error = 1.610283725654131e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6998615692542097 y1[1] (numeric) = -0.6998615692543108 absolute error = 1.010302952408892e-13 relative error = 1.443575410899468e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.346999999999853 y2[1] (analytic) = 0.7135782872313746 y2[1] (numeric) = 0.7135782872312594 absolute error = 1.152411499560912e-13 relative error = 1.614975567757498e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.700575497710231 y1[1] (numeric) = -0.700575497710332 absolute error = 1.010302952408892e-13 relative error = 1.442104320963234e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.347999999999852 y2[1] (analytic) = 0.7128773550613132 y2[1] (numeric) = 0.7128773550611976 absolute error = 1.155742168634788e-13 relative error = 1.621235631107099e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7012887255908129 y1[1] (numeric) = -0.7012887255909139 absolute error = 1.010302952408892e-13 relative error = 1.440637665403426e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.348999999999852 y2[1] (analytic) = 0.7121757100139561 y2[1] (numeric) = 0.7121757100138403 absolute error = 1.157962614684038e-13 relative error = 1.62595072873427e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7020012521827277 y1[1] (numeric) = -0.7020012521828287 absolute error = 1.010302952408892e-13 relative error = 1.439175427775327e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.349999999999852 y2[1] (analytic) = 0.7114733527909483 y2[1] (numeric) = 0.7114733527908322 absolute error = 1.160183060733289e-13 relative error = 1.630676758563275e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7027130767734487 y1[1] (numeric) = -0.7027130767735498 absolute error = 1.010302952408892e-13 relative error = 1.437717591720026e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.350999999999852 y2[1] (analytic) = 0.710770284094647 y2[1] (numeric) = 0.7107702840945307 absolute error = 1.163513729807164e-13 relative error = 1.636975765368701e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7034241986511516 y1[1] (numeric) = -0.7034241986512526 absolute error = 1.010302952408892e-13 relative error = 1.436264140963867e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.351999999999852 y2[1] (analytic) = 0.7100665046281208 y2[1] (numeric) = 0.7100665046280044 absolute error = 1.164623952831789e-13 relative error = 1.640161795044439e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7041346171047145 y1[1] (numeric) = -0.7041346171048154 absolute error = 1.009192729384267e-13 relative error = 1.433238339472502e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.352999999999852 y2[1] (analytic) = 0.7093620150951493 y2[1] (numeric) = 0.7093620150950325 absolute error = 1.167954621905665e-13 relative error = 1.646485993120174e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7048443314237188 y1[1] (numeric) = -0.7048443314238197 absolute error = 1.009192729384267e-13 relative error = 1.431795198445866e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.353999999999852 y2[1] (analytic) = 0.7086568162002217 y2[1] (numeric) = 0.7086568162001047 absolute error = 1.170175067954915e-13 relative error = 1.651257761449792e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7055533408984506 y1[1] (numeric) = -0.7055533408985515 absolute error = 1.009192729384267e-13 relative error = 1.430356389637618e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.354999999999852 y2[1] (analytic) = 0.7079509086485369 y2[1] (numeric) = 0.7079509086484197 absolute error = 1.172395514004165e-13 relative error = 1.656040693898173e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7062616448199003 y1[1] (numeric) = -0.7062616448200011 absolute error = 1.008082506359642e-13 relative error = 1.427349925843286e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.355999999999852 y2[1] (analytic) = 0.7072442931460026 y2[1] (numeric) = 0.7072442931458851 absolute error = 1.174615960053416e-13 relative error = 1.660834836614128e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7069692424797639 y1[1] (numeric) = -0.7069692424798647 absolute error = 1.008082506359642e-13 relative error = 1.425921307161389e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.356999999999851 y2[1] (analytic) = 0.706536970399234 y2[1] (numeric) = 0.7065369703991163 absolute error = 1.176836406102666e-13 relative error = 1.665640235977582e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.707676133170444 y1[1] (numeric) = -0.7076761331705448 absolute error = 1.008082506359642e-13 relative error = 1.424496968469679e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.357999999999851 y2[1] (analytic) = 0.7058289411155538 y2[1] (numeric) = 0.705828941115436 absolute error = 1.177946629127291e-13 relative error = 1.668884003630626e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7083823161850499 y1[1] (numeric) = -0.7083823161851507 absolute error = 1.008082506359642e-13 relative error = 1.423076894110809e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.358999999999851 y2[1] (analytic) = 0.7051202060029914 y2[1] (numeric) = 0.7051202060028734 absolute error = 1.180167075176541e-13 relative error = 1.673710475361891e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7090877908173986 y1[1] (numeric) = -0.7090877908174994 absolute error = 1.008082506359642e-13 relative error = 1.421661068508285e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.359999999999851 y2[1] (analytic) = 0.7044107657702818 y2[1] (numeric) = 0.7044107657701635 absolute error = 1.183497744250417e-13 relative error = 1.680124441250195e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7097925563620157 y1[1] (numeric) = -0.7097925563621164 absolute error = 1.006972283335017e-13 relative error = 1.418685324760479e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.360999999999851 y2[1] (analytic) = 0.703700621126865 y2[1] (numeric) = 0.7037006211267466 absolute error = 1.184607967275042e-13 relative error = 1.683397643415576e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7104966121141355 y1[1] (numeric) = -0.7104966121142361 absolute error = 1.005862060310392e-13 relative error = 1.415716898800368e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.361999999999851 y2[1] (analytic) = 0.7029897727828859 y2[1] (numeric) = 0.7029897727827672 absolute error = 1.186828413324292e-13 relative error = 1.688258434580153e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7111999573697024 y1[1] (numeric) = -0.7111999573698029 absolute error = 1.004751837285767e-13 relative error = 1.412755761406025e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.362999999999851 y2[1] (analytic) = 0.7022782214491925 y2[1] (numeric) = 0.7022782214490736 absolute error = 1.189048859373543e-13 relative error = 1.693130760797153e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7119025914253712 y1[1] (numeric) = -0.7119025914254716 absolute error = 1.004751837285767e-13 relative error = 1.411361398859432e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.363999999999851 y2[1] (analytic) = 0.7015659678373362 y2[1] (numeric) = 0.701565967837217 absolute error = 1.191269305422793e-13 relative error = 1.698014670088727e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7126045135785078 y1[1] (numeric) = -0.7126045135786083 absolute error = 1.004751837285767e-13 relative error = 1.40997119459737e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.364999999999851 y2[1] (analytic) = 0.7008530126595705 y2[1] (numeric) = 0.7008530126594511 absolute error = 1.193489751472043e-13 relative error = 1.702910210720267e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7133057231271904 y1[1] (numeric) = -0.7133057231272908 absolute error = 1.003641614261142e-13 relative error = 1.407028685906367e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36599999999985 y2[1] (analytic) = 0.7001393566288505 y2[1] (numeric) = 0.7001393566287309 absolute error = 1.195710197521294e-13 relative error = 1.707817431201985e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7140062193702092 y1[1] (numeric) = -0.7140062193703096 absolute error = 1.003641614261142e-13 relative error = 1.405648280131797e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36699999999985 y2[1] (analytic) = 0.6994250004588323 y2[1] (numeric) = 0.6994250004587125 absolute error = 1.197930643570544e-13 relative error = 1.712736380290503e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7147060016070682 y1[1] (numeric) = -0.7147060016071686 absolute error = 1.003641614261142e-13 relative error = 1.404271983171235e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36799999999985 y2[1] (analytic) = 0.6987099448638718 y2[1] (numeric) = 0.6987099448637518 absolute error = 1.200151089619794e-13 relative error = 1.717667106990465e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7154050691379851 y1[1] (numeric) = -0.7154050691380854 absolute error = 1.003641614261142e-13 relative error = 1.402899780218865e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36899999999985 y2[1] (analytic) = 0.6979941905590248 y2[1] (numeric) = 0.6979941905589045 absolute error = 1.202371535669045e-13 relative error = 1.722609660556147e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7161034212638925 y1[1] (numeric) = -0.7161034212639927 absolute error = 1.002531391236516e-13 relative error = 1.399981289667756e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36999999999985 y2[1] (analytic) = 0.6972777382600454 y2[1] (numeric) = 0.6972777382599249 absolute error = 1.204591981718295e-13 relative error = 1.727564090493091e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7168010572864383 y1[1] (numeric) = -0.7168010572865385 absolute error = 1.002531391236516e-13 relative error = 1.398618739531098e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.37099999999985 y2[1] (analytic) = 0.6965605886833858 y2[1] (numeric) = 0.6965605886832651 absolute error = 1.206812427767545e-13 relative error = 1.732530446559745e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7174979765079865 y1[1] (numeric) = -0.7174979765080868 absolute error = 1.002531391236516e-13 relative error = 1.397260234956714e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.37199999999985 y2[1] (analytic) = 0.6958427425461955 y2[1] (numeric) = 0.6958427425460746 absolute error = 1.209032873816795e-13 relative error = 1.73750877876912e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.718194178231618 y1[1] (numeric) = -0.7181941782317183 absolute error = 1.002531391236516e-13 relative error = 1.39590576145439e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.37299999999985 y2[1] (analytic) = 0.6951242005663207 y2[1] (numeric) = 0.6951242005661996 absolute error = 1.211253319866046e-13 relative error = 1.742499137390458e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7188896617611311 y1[1] (numeric) = -0.7188896617612314 absolute error = 1.002531391236516e-13 relative error = 1.394555304607555e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.37399999999985 y2[1] (analytic) = 0.6944049634623033 y2[1] (numeric) = 0.6944049634621819 absolute error = 1.213473765915296e-13 relative error = 1.747501572950913e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7195844264010425 y1[1] (numeric) = -0.7195844264011426 absolute error = 1.001421168211891e-13 relative error = 1.391665983129232e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.374999999999849 y2[1] (analytic) = 0.6936850319533803 y2[1] (numeric) = 0.6936850319532587 absolute error = 1.215694211964546e-13 relative error = 1.752516136237243e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7202784714565873 y1[1] (numeric) = -0.7202784714566874 absolute error = 1.001421168211891e-13 relative error = 1.390325003309847e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.375999999999849 y2[1] (analytic) = 0.692964406759483 y2[1] (numeric) = 0.6929644067593613 absolute error = 1.216804434989172e-13 relative error = 1.755940742583486e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7209717962337208 y1[1] (numeric) = -0.7209717962338208 absolute error = 1.000310945187266e-13 relative error = 1.387448094936283e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.376999999999849 y2[1] (analytic) = 0.6922430886012368 y2[1] (numeric) = 0.6922430886011149 absolute error = 1.219024881038422e-13 relative error = 1.760978045301417e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.721664400039118 y1[1] (numeric) = -0.7216644000392181 absolute error = 1.000310945187266e-13 relative error = 1.386116517778962e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.377999999999849 y2[1] (analytic) = 0.6915210781999598 y2[1] (numeric) = 0.6915210781998377 absolute error = 1.221245327087672e-13 relative error = 1.766027624590407e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7223562821801753 y1[1] (numeric) = -0.7223562821802754 absolute error = 1.000310945187266e-13 relative error = 1.384788877544172e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.378999999999849 y2[1] (analytic) = 0.6907983762776621 y2[1] (numeric) = 0.6907983762775397 absolute error = 1.223465773136923e-13 relative error = 1.771089532273536e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7230474419650107 y1[1] (numeric) = -0.7230474419651107 absolute error = 1.000310945187266e-13 relative error = 1.383465160278753e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.379999999999849 y2[1] (analytic) = 0.6900749835570457 y2[1] (numeric) = 0.6900749835569231 absolute error = 1.225686219186173e-13 relative error = 1.776163820442058e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7237378787024644 y1[1] (numeric) = -0.7237378787025643 absolute error = 9.992007221626409e-14 relative error = 1.380611339500474e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.380999999999849 y2[1] (analytic) = 0.6893509007615033 y2[1] (numeric) = 0.6893509007613804 absolute error = 1.229016888260048e-13 relative error = 1.782861075400632e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7244275917020997 y1[1] (numeric) = -0.7244275917021996 absolute error = 9.992007221626409e-14 relative error = 1.379296887098047e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.381999999999849 y2[1] (analytic) = 0.6886261286151175 y2[1] (numeric) = 0.6886261286149944 absolute error = 1.231237334309299e-13 relative error = 1.787961976966247e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7251165802742037 y1[1] (numeric) = -0.7251165802743035 absolute error = 9.980904991380157e-14 relative error = 1.376455216015867e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.382999999999849 y2[1] (analytic) = 0.6879006678426606 y2[1] (numeric) = 0.6879006678425372 absolute error = 1.233457780358549e-13 relative error = 1.793075422105376e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7258048437297877 y1[1] (numeric) = -0.7258048437298875 absolute error = 9.980904991380157e-14 relative error = 1.375149956300923e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.383999999999848 y2[1] (analytic) = 0.687174519169593 y2[1] (numeric) = 0.6871745191694695 absolute error = 1.235678226407799e-13 relative error = 1.798201464019705e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7264923813805886 y1[1] (numeric) = -0.7264923813806883 absolute error = 9.969802761133906e-14 relative error = 1.372320345904772e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.384999999999848 y2[1] (analytic) = 0.6864476833220636 y2[1] (numeric) = 0.6864476833219398 absolute error = 1.23789867245705e-13 relative error = 1.803340156188216e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7271791925390686 y1[1] (numeric) = -0.7271791925391683 absolute error = 9.969802761133906e-14 relative error = 1.371024207434025e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.385999999999848 y2[1] (analytic) = 0.6857201610269081 y2[1] (numeric) = 0.6857201610267841 absolute error = 1.2401191185063e-13 relative error = 1.808491552369038e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7278652765184167 y1[1] (numeric) = -0.7278652765185163 absolute error = 9.958700530887654e-14 relative error = 1.368206569562283e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.386999999999848 y2[1] (analytic) = 0.6849919530116487 y2[1] (numeric) = 0.6849919530115245 absolute error = 1.24233956455555e-13 relative error = 1.813655706601306e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7285506326325489 y1[1] (numeric) = -0.7285506326326484 absolute error = 9.947598300641403e-14 relative error = 1.365395602594798e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.387999999999848 y2[1] (analytic) = 0.6842630600044933 y2[1] (numeric) = 0.684263060004369 absolute error = 1.243449787580175e-13 relative error = 1.81721016413192e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7292352601961092 y1[1] (numeric) = -0.7292352601962087 absolute error = 9.947598300641403e-14 relative error = 1.364113728944792e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.388999999999848 y2[1] (analytic) = 0.6835334827343351 y2[1] (numeric) = 0.6835334827342104 absolute error = 1.246780456654051e-13 relative error = 1.824022506793028e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7299191585244701 y1[1] (numeric) = -0.7299191585245695 absolute error = 9.936496070395151e-14 relative error = 1.361314599616998e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.389999999999848 y2[1] (analytic) = 0.6828032219307509 y2[1] (numeric) = 0.6828032219306261 absolute error = 1.247890679678676e-13 relative error = 1.827599284241859e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7306023269337333 y1[1] (numeric) = -0.7306023269338325 absolute error = 9.925393840148899e-14 relative error = 1.358522067922341e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.390999999999848 y2[1] (analytic) = 0.6820722783240019 y2[1] (numeric) = 0.6820722783238768 absolute error = 1.250111125727926e-13 relative error = 1.832813274276031e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7312847647407303 y1[1] (numeric) = -0.7312847647408296 absolute error = 9.925393840148899e-14 relative error = 1.357254289807042e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.391999999999848 y2[1] (analytic) = 0.6813406526450313 y2[1] (numeric) = 0.6813406526449061 absolute error = 1.252331571777177e-13 relative error = 1.838040291468742e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7319664712630237 y1[1] (numeric) = -0.7319664712631229 absolute error = 9.914291609902648e-14 relative error = 1.354473462807023e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.392999999999847 y2[1] (analytic) = 0.6806083456254648 y2[1] (numeric) = 0.6806083456253393 absolute error = 1.254552017826427e-13 relative error = 1.843280391564285e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7326474458189067 y1[1] (numeric) = -0.7326474458190059 absolute error = 9.914291609902648e-14 relative error = 1.353214518999801e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.393999999999847 y2[1] (analytic) = 0.6798753579976095 y2[1] (numeric) = 0.6798753579974838 absolute error = 1.256772463875677e-13 relative error = 1.848533630601296e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.733327687727405 y1[1] (numeric) = -0.7333276877275041 absolute error = 9.914291609902648e-14 relative error = 1.351959264026592e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.394999999999847 y2[1] (analytic) = 0.6791416904944527 y2[1] (numeric) = 0.6791416904943268 absolute error = 1.258992909924928e-13 relative error = 1.853800064914747e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7340071963082767 y1[1] (numeric) = -0.7340071963083757 absolute error = 9.903189379656396e-14 relative error = 1.34919513452524e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.395999999999847 y2[1] (analytic) = 0.6784073438496621 y2[1] (numeric) = 0.6784073438495359 absolute error = 1.261213355974178e-13 relative error = 1.859079751137936e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7346859708820133 y1[1] (numeric) = -0.7346859708821122 absolute error = 9.892087149410145e-14 relative error = 1.346437463278955e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.396999999999847 y2[1] (analytic) = 0.6776723187975842 y2[1] (numeric) = 0.6776723187974578 absolute error = 1.263433802023428e-13 relative error = 1.864372746204507e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7353640107698401 y1[1] (numeric) = -0.735364010769939 absolute error = 9.880984919163893e-14 relative error = 1.34368622538648e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.397999999999847 y2[1] (analytic) = 0.6769366160732438 y2[1] (numeric) = 0.6769366160731173 absolute error = 1.265654248072678e-13 relative error = 1.869679107350482e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7360413152937175 y1[1] (numeric) = -0.7360413152938163 absolute error = 9.880984919163893e-14 relative error = 1.342449766589649e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.398999999999847 y2[1] (analytic) = 0.6762002364123439 y2[1] (numeric) = 0.6762002364122172 absolute error = 1.267874694121929e-13 relative error = 1.874998892116305e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.736717883776341 y1[1] (numeric) = -0.7367178837764398 absolute error = 9.880984919163893e-14 relative error = 1.341216921260954e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.399999999999847 y2[1] (analytic) = 0.675463180551264 y2[1] (numeric) = 0.675463180551137 absolute error = 1.270095140171179e-13 relative error = 1.880332158348912e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.737393715541142 y1[1] (numeric) = -0.7373937155412408 absolute error = 9.880984919163893e-14 relative error = 1.339987676991885e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.400999999999847 y2[1] (analytic) = 0.6747254492270597 y2[1] (numeric) = 0.6747254492269324 absolute error = 1.272315586220429e-13 relative error = 1.885678964203806e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.738068809912289 y1[1] (numeric) = -0.7380688099123877 absolute error = 9.869882688917642e-14 relative error = 1.337257794444744e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.401999999999846 y2[1] (analytic) = 0.6739870431774625 y2[1] (numeric) = 0.6739870431773349 absolute error = 1.275646255294305e-13 relative error = 1.892686614983523e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7387431662146875 y1[1] (numeric) = -0.7387431662147862 absolute error = 9.869882688917642e-14 relative error = 1.336037088436408e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.402999999999846 y2[1] (analytic) = 0.6732479631408782 y2[1] (numeric) = 0.6732479631407504 absolute error = 1.277866701343555e-13 relative error = 1.898062484113538e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7394167837739813 y1[1] (numeric) = -0.73941678377408 absolute error = 9.869882688917642e-14 relative error = 1.334819942623129e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.403999999999846 y2[1] (analytic) = 0.6725082098563869 y2[1] (numeric) = 0.6725082098562589 absolute error = 1.280087147392805e-13 relative error = 1.903452074832166e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7400896619165531 y1[1] (numeric) = -0.7400896619166517 absolute error = 9.85878045867139e-14 relative error = 1.332106225229639e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.404999999999846 y2[1] (analytic) = 0.6717677840637418 y2[1] (numeric) = 0.6717677840636136 absolute error = 1.282307593442056e-13 relative error = 1.908855446572564e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7407617999695246 y1[1] (numeric) = -0.7407617999696231 absolute error = 9.847678228425139e-14 relative error = 1.329398766085168e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.405999999999846 y2[1] (analytic) = 0.6710266865033686 y2[1] (numeric) = 0.6710266865032402 absolute error = 1.284528039491306e-13 relative error = 1.914272659087244e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7414331972607578 y1[1] (numeric) = -0.7414331972608563 absolute error = 9.847678228425139e-14 relative error = 1.328194942552831e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.406999999999846 y2[1] (analytic) = 0.6702849179163649 y2[1] (numeric) = 0.6702849179162361 absolute error = 1.287858708565182e-13 relative error = 1.921360117379032e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7421038531188556 y1[1] (numeric) = -0.7421038531189541 absolute error = 9.847678228425139e-14 relative error = 1.32699462306227e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.407999999999846 y2[1] (analytic) = 0.669542479044499 y2[1] (numeric) = 0.66954247904437 absolute error = 1.290079154614432e-13 relative error = 1.926807028667543e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7427737668731621 y1[1] (numeric) = -0.7427737668732606 absolute error = 9.847678228425139e-14 relative error = 1.325797795724624e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.408999999999846 y2[1] (analytic) = 0.6687993706302099 y2[1] (numeric) = 0.6687993706300808 absolute error = 1.291189377639057e-13 relative error = 1.930607943638417e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7434429378537637 y1[1] (numeric) = -0.7434429378538621 absolute error = 9.836575998178887e-14 relative error = 1.323111095328443e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.409999999999846 y2[1] (analytic) = 0.6680555934166059 y2[1] (numeric) = 0.6680555934164766 absolute error = 1.293409823688307e-13 relative error = 1.936081123239282e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7441113653914893 y1[1] (numeric) = -0.7441113653915876 absolute error = 9.836575998178887e-14 relative error = 1.321922558326159e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.410999999999845 y2[1] (analytic) = 0.6673111481474643 y2[1] (numeric) = 0.6673111481473346 absolute error = 1.296740492762183e-13 relative error = 1.943232173420285e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7447790488179116 y1[1] (numeric) = -0.7447790488180098 absolute error = 9.825473767932635e-14 relative error = 1.319246799910295e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.411999999999845 y2[1] (analytic) = 0.6665660355672299 y2[1] (numeric) = 0.6665660355671001 absolute error = 1.297850715786808e-13 relative error = 1.947069977368966e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7454459874653471 y1[1] (numeric) = -0.7454459874654452 absolute error = 9.814371537686384e-14 relative error = 1.316577150151018e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.412999999999845 y2[1] (analytic) = 0.6658202564210157 y2[1] (numeric) = 0.6658202564208856 absolute error = 1.301181384860683e-13 relative error = 1.954253227222201e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7461121806668571 y1[1] (numeric) = -0.7461121806669553 absolute error = 9.814371537686384e-14 relative error = 1.315401596702862e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.413999999999845 y2[1] (analytic) = 0.6650738114546004 y2[1] (numeric) = 0.6650738114544702 absolute error = 1.302291607885309e-13 relative error = 1.958115904514466e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7467776277562488 y1[1] (numeric) = -0.7467776277563469 absolute error = 9.814371537686384e-14 relative error = 1.31422945370959e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.414999999999845 y2[1] (analytic) = 0.6643267014144292 y2[1] (numeric) = 0.6643267014142987 absolute error = 1.304512053934559e-13 relative error = 1.963660426650171e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.747442328068075 y1[1] (numeric) = -0.747442328068173 absolute error = 9.803269307440132e-14 relative error = 1.311575346927272e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.415999999999845 y2[1] (analytic) = 0.6635789270476119 y2[1] (numeric) = 0.6635789270474812 absolute error = 1.306732499983809e-13 relative error = 1.969219405139505e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7481062809376353 y1[1] (numeric) = -0.7481062809377333 absolute error = 9.803269307440132e-14 relative error = 1.310411308825432e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.416999999999845 y2[1] (analytic) = 0.6628304891019229 y2[1] (numeric) = 0.662830489101792 absolute error = 1.30895294603306e-13 relative error = 1.974792903396124e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7487694857009771 y1[1] (numeric) = -0.748769485701075 absolute error = 9.792167077193881e-14 relative error = 1.307767913115039e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.417999999999845 y2[1] (analytic) = 0.6620813883258 y2[1] (numeric) = 0.6620813883256689 absolute error = 1.31117339208231e-13 relative error = 1.980380985180483e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7494319416948956 y1[1] (numeric) = -0.7494319416949934 absolute error = 9.781064846947629e-14 relative error = 1.305130499885958e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.418999999999845 y2[1] (analytic) = 0.6613316254683439 y2[1] (numeric) = 0.6613316254682126 absolute error = 1.31339383813156e-13 relative error = 1.985983714602242e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7500936482569347 y1[1] (numeric) = -0.7500936482570325 absolute error = 9.781064846947629e-14 relative error = 1.30397915909258e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.419999999999844 y2[1] (analytic) = 0.6605812012793174 y2[1] (numeric) = 0.6605812012791858 absolute error = 1.315614284180811e-13 relative error = 1.9916011561227e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7507546047253882 y1[1] (numeric) = -0.7507546047254859 absolute error = 9.769962616701378e-14 relative error = 1.301352340059911e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.420999999999844 y2[1] (analytic) = 0.6598301165091448 y2[1] (numeric) = 0.6598301165090129 absolute error = 1.318944953254686e-13 relative error = 1.998915963752325e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7514148104392995 y1[1] (numeric) = -0.7514148104393972 absolute error = 9.769962616701378e-14 relative error = 1.30020894996594e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.421999999999844 y2[1] (analytic) = 0.6590783719089106 y2[1] (numeric) = 0.6590783719087785 absolute error = 1.321165399303936e-13 relative error = 2.004564943433663e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7520742647384629 y1[1] (numeric) = -0.7520742647385606 absolute error = 9.769962616701378e-14 relative error = 1.29906886524018e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.422999999999844 y2[1] (analytic) = 0.6583259682303594 y2[1] (numeric) = 0.658325968230227 absolute error = 1.323385845353187e-13 relative error = 2.010228836803399e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7527329669634244 y1[1] (numeric) = -0.752732966963522 absolute error = 9.758860386455126e-14 relative error = 1.29645715210575e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.423999999999844 y2[1] (analytic) = 0.6575729062258949 y2[1] (numeric) = 0.6575729062257623 absolute error = 1.326716514427062e-13 relative error = 2.017596074694868e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7533909164554816 y1[1] (numeric) = -0.7533909164555791 absolute error = 9.747758156208874e-14 relative error = 1.293851298615289e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.424999999999844 y2[1] (analytic) = 0.656819186648579 y2[1] (numeric) = 0.6568191866484461 absolute error = 1.328936960476312e-13 relative error = 2.023291931006485e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7540481125566851 y1[1] (numeric) = -0.7540481125567825 absolute error = 9.736655925962623e-14 relative error = 1.291251282752952e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.425999999999844 y2[1] (analytic) = 0.656064810252131 y2[1] (numeric) = 0.6560648102519979 absolute error = 1.331157406525563e-13 relative error = 2.029002905999467e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7547045546098389 y1[1] (numeric) = -0.7547045546099362 absolute error = 9.736655925962623e-14 relative error = 1.290128152333227e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.426999999999844 y2[1] (analytic) = 0.6553097777909276 y2[1] (numeric) = 0.6553097777907942 absolute error = 1.333377852574813e-13 relative error = 2.034729066716625e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7553602419585009 y1[1] (numeric) = -0.7553602419585983 absolute error = 9.736655925962623e-14 relative error = 1.289008261901286e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.427999999999844 y2[1] (analytic) = 0.654554090020001 y2[1] (numeric) = 0.6545540900198674 absolute error = 1.335598298624063e-13 relative error = 2.040470480572892e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.756015173946984 y1[1] (numeric) = -0.7560151739470813 absolute error = 9.725553695716371e-14 relative error = 1.286423081291009e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.428999999999844 y2[1] (analytic) = 0.6537977476950388 y2[1] (numeric) = 0.6537977476949051 absolute error = 1.337818744673314e-13 relative error = 2.046227215357942e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7566693499203562 y1[1] (numeric) = -0.7566693499204533 absolute error = 9.71445146547012e-14 relative error = 1.283843658593099e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.429999999999843 y2[1] (analytic) = 0.6530407515723835 y2[1] (numeric) = 0.6530407515722495 absolute error = 1.340039190722564e-13 relative error = 2.051999339238836e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7573227692244414 y1[1] (numeric) = -0.7573227692245385 absolute error = 9.703349235223868e-14 relative error = 1.281269972268346e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.430999999999843 y2[1] (analytic) = 0.652283102409031 y2[1] (numeric) = 0.6522831024088968 absolute error = 1.342259636771814e-13 relative error = 2.05778692076269e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7579754312058206 y1[1] (numeric) = -0.7579754312059175 absolute error = 9.692247004977617e-14 relative error = 1.27870200087604e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.431999999999843 y2[1] (analytic) = 0.6515248009626304 y2[1] (numeric) = 0.651524800962496 absolute error = 1.344480082821065e-13 relative error = 2.063590028859362e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7586273352118316 y1[1] (numeric) = -0.7586273352119285 absolute error = 9.692247004977617e-14 relative error = 1.277603186058574e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.432999999999843 y2[1] (analytic) = 0.6507658479914833 y2[1] (numeric) = 0.6507658479913485 absolute error = 1.34781075189494e-13 relative error = 2.071114758180394e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7592784805905707 y1[1] (numeric) = -0.7592784805906675 absolute error = 9.681144774731365e-14 relative error = 1.275045325557142e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.433999999999843 y2[1] (analytic) = 0.6500062442545423 y2[1] (numeric) = 0.6500062442544073 absolute error = 1.35003119794419e-13 relative error = 2.076951121434948e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7599288666908925 y1[1] (numeric) = -0.7599288666909892 absolute error = 9.670042544485113e-14 relative error = 1.272493119861768e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.434999999999843 y2[1] (analytic) = 0.6492459905114113 y2[1] (numeric) = 0.6492459905112761 absolute error = 1.352251643993441e-13 relative error = 2.082803226752731e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7605784928624109 y1[1] (numeric) = -0.7605784928625076 absolute error = 9.670042544485113e-14 relative error = 1.271406256584017e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.435999999999843 y2[1] (analytic) = 0.6484850875223438 y2[1] (numeric) = 0.6484850875222083 absolute error = 1.354472090042691e-13 relative error = 2.088671144648368e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7612273584554998 y1[1] (numeric) = -0.7612273584555964 absolute error = 9.658940314238862e-14 relative error = 1.268864053157058e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.436999999999843 y2[1] (analytic) = 0.6477235360482428 y2[1] (numeric) = 0.6477235360481072 absolute error = 1.356692536091941e-13 relative error = 2.09455494603317e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7618754628212938 y1[1] (numeric) = -0.7618754628213903 absolute error = 9.64783808399261e-14 relative error = 1.266327445205518e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.437999999999843 y2[1] (analytic) = 0.6469613368506599 y2[1] (numeric) = 0.6469613368505239 absolute error = 1.360023205165817e-13 relative error = 2.102170759981218e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7625228053116884 y1[1] (numeric) = -0.7625228053117848 absolute error = 9.64783808399261e-14 relative error = 1.265252398588783e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.438999999999842 y2[1] (analytic) = 0.6461984906917939 y2[1] (numeric) = 0.6461984906916578 absolute error = 1.361133428190442e-13 relative error = 2.10637048491597e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7631693852793412 y1[1] (numeric) = -0.7631693852794376 absolute error = 9.636735853746359e-14 relative error = 1.262725685755731e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.439999999999842 y2[1] (analytic) = 0.6454349983344911 y2[1] (numeric) = 0.6454349983343548 absolute error = 1.363353874239692e-13 relative error = 2.112302366245634e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7638152020776723 y1[1] (numeric) = -0.7638152020777687 absolute error = 9.636735853746359e-14 relative error = 1.26165803292907e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.440999999999842 y2[1] (analytic) = 0.6446708605422438 y2[1] (numeric) = 0.6446708605421072 absolute error = 1.365574320288943e-13 relative error = 2.118250418733576e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.764460255060865 y1[1] (numeric) = -0.7644602550609613 absolute error = 9.625633623500107e-14 relative error = 1.259141146943438e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.441999999999842 y2[1] (analytic) = 0.6439060780791896 y2[1] (numeric) = 0.6439060780790529 absolute error = 1.367794766338193e-13 relative error = 2.124214715317499e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7651045435838664 y1[1] (numeric) = -0.7651045435839625 absolute error = 9.614531393253856e-14 relative error = 1.256629760453117e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.442999999999842 y2[1] (analytic) = 0.643140651710111 y2[1] (numeric) = 0.643140651709974 absolute error = 1.370015212387443e-13 relative error = 2.130195329349144e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.765748067002388 y1[1] (numeric) = -0.765748067002484 absolute error = 9.603429163007604e-14 relative error = 1.25412385311025e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.443999999999842 y2[1] (analytic) = 0.6423745822004344 y2[1] (numeric) = 0.6423745822002971 absolute error = 1.373345881461319e-13 relative error = 2.137920645547594e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7663908246729063 y1[1] (numeric) = -0.7663908246730022 absolute error = 9.592326932761353e-14 relative error = 1.251623404658496e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.444999999999842 y2[1] (analytic) = 0.641607870316229 y2[1] (numeric) = 0.6416078703160915 absolute error = 1.375566327510569e-13 relative error = 2.143936181506929e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7670328159526638 y1[1] (numeric) = -0.7670328159527597 absolute error = 9.592326932761353e-14 relative error = 1.25057582065085e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.445999999999842 y2[1] (analytic) = 0.6408405168242068 y2[1] (numeric) = 0.6408405168240691 absolute error = 1.377786773559819e-13 relative error = 2.149968264159816e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7676740401996693 y1[1] (numeric) = -0.7676740401997652 absolute error = 9.581224702515101e-14 relative error = 1.2480850205672e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.446999999999842 y2[1] (analytic) = 0.6400725224917212 y2[1] (numeric) = 0.6400725224915832 absolute error = 1.38000721960907e-13 relative error = 2.156016968572368e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7683144967726986 y1[1] (numeric) = -0.7683144967727944 absolute error = 9.581224702515101e-14 relative error = 1.247044633774449e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.447999999999841 y2[1] (analytic) = 0.6393038880867664 y2[1] (numeric) = 0.6393038880866282 absolute error = 1.38222766565832e-13 relative error = 2.162082370240057e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7689541850312951 y1[1] (numeric) = -0.7689541850313909 absolute error = 9.581224702515101e-14 relative error = 1.246007225011092e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.448999999999841 y2[1] (analytic) = 0.6385346143779769 y2[1] (numeric) = 0.6385346143778383 absolute error = 1.385558334732195e-13 relative error = 2.16990324961776e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7695931043357707 y1[1] (numeric) = -0.7695931043358664 absolute error = 9.570122472268849e-14 relative error = 1.243530174367758e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.449999999999841 y2[1] (analytic) = 0.6377647021346261 y2[1] (numeric) = 0.6377647021344873 absolute error = 1.387778780781446e-13 relative error = 2.176004372986604e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.770231254047206 y1[1] (numeric) = -0.7702312540473016 absolute error = 9.559020242022598e-14 relative error = 1.241058473256493e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.450999999999841 y2[1] (analytic) = 0.6369941521266264 y2[1] (numeric) = 0.6369941521264874 absolute error = 1.389999226830696e-13 relative error = 2.182122429523312e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7708686335274516 y1[1] (numeric) = -0.7708686335275471 absolute error = 9.547918011776346e-14 relative error = 1.238592102014271e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.451999999999841 y2[1] (analytic) = 0.6362229651245276 y2[1] (numeric) = 0.6362229651243884 absolute error = 1.392219672879946e-13 relative error = 2.188257496501164e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7715052421391277 y1[1] (numeric) = -0.7715052421392232 absolute error = 9.547918011776346e-14 relative error = 1.237570076037739e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.452999999999841 y2[1] (analytic) = 0.6354511418995167 y2[1] (numeric) = 0.6354511418993772 absolute error = 1.394440118929197e-13 relative error = 2.194409651638801e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7721410792456261 y1[1] (numeric) = -0.7721410792457215 absolute error = 9.536815781530095e-14 relative error = 1.23511312088815e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.453999999999841 y2[1] (analytic) = 0.6346786832234168 y2[1] (numeric) = 0.6346786832232771 absolute error = 1.396660564978447e-13 relative error = 2.200578973103467e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7727761442111096 y1[1] (numeric) = -0.7727761442112049 absolute error = 9.525713551283843e-14 relative error = 1.232661440527281e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.454999999999841 y2[1] (analytic) = 0.6339055898686866 y2[1] (numeric) = 0.6339055898685467 absolute error = 1.398881011027697e-13 relative error = 2.206765539514291e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7734104364005133 y1[1] (numeric) = -0.7734104364006085 absolute error = 9.514611321037592e-14 relative error = 1.230215015628573e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.455999999999841 y2[1] (analytic) = 0.6331318626084194 y2[1] (numeric) = 0.6331318626082793 absolute error = 1.401101457076948e-13 relative error = 2.212969429945596e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7740439551795451 y1[1] (numeric) = -0.7740439551796401 absolute error = 9.50350909079134e-14 relative error = 1.227773826951072e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.45699999999984 y2[1] (analytic) = 0.6323575022163423 y2[1] (numeric) = 0.6323575022162019 absolute error = 1.404432126150823e-13 relative error = 2.220946412794101e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7746766999146861 y1[1] (numeric) = -0.7746766999147811 absolute error = 9.492406860545088e-14 relative error = 1.22533785533894e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.45799999999984 y2[1] (analytic) = 0.6315825094668157 y2[1] (numeric) = 0.631582509466675 absolute error = 1.406652572200073e-13 relative error = 2.227187344671047e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7753086699731918 y1[1] (numeric) = -0.7753086699732866 absolute error = 9.481304630298837e-14 relative error = 1.222907081720971e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.45899999999984 y2[1] (analytic) = 0.6308068851348323 y2[1] (numeric) = 0.6308068851346914 absolute error = 1.408873018249324e-13 relative error = 2.233445847611798e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7759398647230921 y1[1] (numeric) = -0.7759398647231869 absolute error = 9.481304630298837e-14 relative error = 1.22191229776323e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.45999999999984 y2[1] (analytic) = 0.6300306299960163 y2[1] (numeric) = 0.6300306299958752 absolute error = 1.411093464298574e-13 relative error = 2.239722002575488e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7765702835331924 y1[1] (numeric) = -0.7765702835332871 absolute error = 9.470202400052585e-14 relative error = 1.219490701725752e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.46099999999984 y2[1] (analytic) = 0.6292537448266229 y2[1] (numeric) = 0.6292537448264816 absolute error = 1.413313910347824e-13 relative error = 2.246015890993596e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7771999257730737 y1[1] (numeric) = -0.7771999257731684 absolute error = 9.470202400052585e-14 relative error = 1.21850274118756e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.46199999999984 y2[1] (analytic) = 0.6284762304035371 y2[1] (numeric) = 0.6284762304033954 absolute error = 1.4166445794217e-13 relative error = 2.254094126220318e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7778287908130942 y1[1] (numeric) = -0.7778287908131888 absolute error = 9.459100169806334e-14 relative error = 1.21609026067528e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.46299999999984 y2[1] (analytic) = 0.6276980875042731 y2[1] (numeric) = 0.6276980875041313 absolute error = 1.41886502547095e-13 relative error = 2.260425917677009e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7784568780243887 y1[1] (numeric) = -0.7784568780244832 absolute error = 9.447997939560082e-14 relative error = 1.213682890635861e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.46399999999984 y2[1] (analytic) = 0.626919316906974 y2[1] (numeric) = 0.6269193169068319 absolute error = 1.4210854715202e-13 relative error = 2.266775696961128e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7790841867788699 y1[1] (numeric) = -0.7790841867789644 absolute error = 9.447997939560082e-14 relative error = 1.212705648490044e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.46499999999984 y2[1] (analytic) = 0.6261399193904102 y2[1] (numeric) = 0.6261399193902679 absolute error = 1.423305917569451e-13 relative error = 2.273143547460024e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7797107164492294 y1[1] (numeric) = -0.7797107164493238 absolute error = 9.436895709313831e-14 relative error = 1.210307298620836e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.465999999999839 y2[1] (analytic) = 0.6253598957339793 y2[1] (numeric) = 0.6253598957338367 absolute error = 1.426636586643326e-13 relative error = 2.2813048875942e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7803364664089373 y1[1] (numeric) = -0.7803364664090316 absolute error = 9.436895709313831e-14 relative error = 1.20933675607163e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.466999999999839 y2[1] (analytic) = 0.6245792467177047 y2[1] (numeric) = 0.6245792467175618 absolute error = 1.428857032692576e-13 relative error = 2.287711351604333e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7809614360322439 y1[1] (numeric) = -0.7809614360323381 absolute error = 9.425793479067579e-14 relative error = 1.206947365667158e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.467999999999839 y2[1] (analytic) = 0.6237979731222354 y2[1] (numeric) = 0.6237979731220923 absolute error = 1.431077478741827e-13 relative error = 2.29413614728338e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7815856246941795 y1[1] (numeric) = -0.7815856246942737 absolute error = 9.425793479067579e-14 relative error = 1.205983475291747e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.468999999999839 y2[1] (analytic) = 0.623016075728845 y2[1] (numeric) = 0.6230160757287017 absolute error = 1.433297924791077e-13 relative error = 2.300579360033866e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7822090317705556 y1[1] (numeric) = -0.7822090317706497 absolute error = 9.414691248821327e-14 relative error = 1.203602984167911e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.469999999999839 y2[1] (analytic) = 0.6222335553194308 y2[1] (numeric) = 0.6222335553192873 absolute error = 1.435518370840327e-13 relative error = 2.307041075763565e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7828316566379651 y1[1] (numeric) = -0.7828316566380591 absolute error = 9.403589018575076e-14 relative error = 1.201227484713733e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.470999999999839 y2[1] (analytic) = 0.6214504126765131 y2[1] (numeric) = 0.6214504126763694 absolute error = 1.437738816889578e-13 relative error = 2.313521380889277e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7834534986737831 y1[1] (numeric) = -0.783453498673877 absolute error = 9.392486788328824e-14 relative error = 1.198856958865876e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.471999999999839 y2[1] (analytic) = 0.6206666485832346 y2[1] (numeric) = 0.6206666485830905 absolute error = 1.441069485963453e-13 relative error = 2.321809121293873e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7840745572561678 y1[1] (numeric) = -0.7840745572562616 absolute error = 9.381384558082573e-14 relative error = 1.196491388639403e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.472999999999839 y2[1] (analytic) = 0.6198822638233592 y2[1] (numeric) = 0.6198822638232149 absolute error = 1.443289932012704e-13 relative error = 2.328329129971658e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7846948317640606 y1[1] (numeric) = -0.7846948317641543 absolute error = 9.370282327836321e-14 relative error = 1.194130756127338e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.473999999999839 y2[1] (analytic) = 0.6190972591812716 y2[1] (numeric) = 0.619097259181127 absolute error = 1.445510378061954e-13 relative error = 2.334867997919384e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7853143215771869 y1[1] (numeric) = -0.7853143215772806 absolute error = 9.370282327836321e-14 relative error = 1.19318877427544e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.474999999999838 y2[1] (analytic) = 0.6183116354419764 y2[1] (numeric) = 0.6183116354418315 absolute error = 1.448841047135829e-13 relative error = 2.343221385604656e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7859330260760572 y1[1] (numeric) = -0.7859330260761508 absolute error = 9.35918009759007e-14 relative error = 1.19083685085965e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.475999999999838 y2[1] (analytic) = 0.6175253933910972 y2[1] (numeric) = 0.6175253933909522 absolute error = 1.449951270160454e-13 relative error = 2.348002666251746e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.786550944641967 y1[1] (numeric) = -0.7865509446420604 absolute error = 9.348077867343818e-14 relative error = 1.188489815062012e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.476999999999838 y2[1] (analytic) = 0.6167385338148763 y2[1] (numeric) = 0.616738533814731 absolute error = 1.45328193923433e-13 relative error = 2.356398797144975e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7871680766569975 y1[1] (numeric) = -0.787168076657091 absolute error = 9.348077867343818e-14 relative error = 1.187558050758856e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.477999999999838 y2[1] (analytic) = 0.6159510575001729 y2[1] (numeric) = 0.6159510575000273 absolute error = 1.45550238528358e-13 relative error = 2.363016294169073e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7877844215040171 y1[1] (numeric) = -0.7877844215041104 absolute error = 9.336975637097567e-14 relative error = 1.185219633979517e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.478999999999838 y2[1] (analytic) = 0.6151629652344632 y2[1] (numeric) = 0.6151629652343175 absolute error = 1.457722831332831e-13 relative error = 2.369653106111864e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7883999785666808 y1[1] (numeric) = -0.788399978566774 absolute error = 9.325873406851315e-14 relative error = 1.182886055350464e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.479999999999838 y2[1] (analytic) = 0.6143742578058397 y2[1] (numeric) = 0.6143742578056937 absolute error = 1.459943277382081e-13 relative error = 2.376309324215641e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7890147472294315 y1[1] (numeric) = -0.7890147472295247 absolute error = 9.314771176605063e-14 relative error = 1.18055729747932e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.480999999999838 y2[1] (analytic) = 0.6135849360030095 y2[1] (numeric) = 0.6135849360028632 absolute error = 1.462163723431331e-13 relative error = 2.382985040271849e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7896287268775009 y1[1] (numeric) = -0.7896287268775939 absolute error = 9.303668946358812e-14 relative error = 1.178233343048338e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.481999999999838 y2[1] (analytic) = 0.6127950006152943 y2[1] (numeric) = 0.6127950006151479 absolute error = 1.464384169480581e-13 relative error = 2.389680346625257e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7902419168969091 y1[1] (numeric) = -0.7902419168970021 absolute error = 9.29256671611256e-14 relative error = 1.175914174813992e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.482999999999838 y2[1] (analytic) = 0.6120044524326297 y2[1] (numeric) = 0.612004452432483 absolute error = 1.466604615529832e-13 relative error = 2.396395336178175e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7908543166744664 y1[1] (numeric) = -0.7908543166745592 absolute error = 9.281464485866309e-14 relative error = 1.173599775606557e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.483999999999837 y2[1] (analytic) = 0.6112132922455636 y2[1] (numeric) = 0.6112132922454168 absolute error = 1.468825061579082e-13 relative error = 2.403130102394698e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7914659255977727 y1[1] (numeric) = -0.7914659255978655 absolute error = 9.281464485866309e-14 relative error = 1.172692870998366e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.484999999999837 y2[1] (analytic) = 0.6104215208452564 y2[1] (numeric) = 0.6104215208451091 absolute error = 1.472155730652958e-13 relative error = 2.411703520240325e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7920767430552196 y1[1] (numeric) = -0.7920767430553123 absolute error = 9.270362255620057e-14 relative error = 1.17038687689051e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.485999999999837 y2[1] (analytic) = 0.609629139023479 y2[1] (numeric) = 0.6096291390233316 absolute error = 1.474376176702208e-13 relative error = 2.418480486454281e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7926867684359893 y1[1] (numeric) = -0.792686768436082 absolute error = 9.270362255620057e-14 relative error = 1.169486186064509e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.486999999999837 y2[1] (analytic) = 0.6088361475726134 y2[1] (numeric) = 0.6088361475724658 absolute error = 1.475486399726833e-13 relative error = 2.423454004184037e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7932960011300567 y1[1] (numeric) = -0.7932960011301493 absolute error = 9.259260025373806e-14 relative error = 1.167188541500766e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.487999999999837 y2[1] (analytic) = 0.608042547285651 y2[1] (numeric) = 0.6080425472855032 absolute error = 1.477706845776083e-13 relative error = 2.430268823082663e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.793904440528189 y1[1] (numeric) = -0.7939044405282816 absolute error = 9.259260025373806e-14 relative error = 1.166294021382922e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.488999999999837 y2[1] (analytic) = 0.607248338956192 y2[1] (numeric) = 0.607248338956044 absolute error = 1.479927291825334e-13 relative error = 2.437103894543709e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.794512086021947 y1[1] (numeric) = -0.7945120860220395 absolute error = 9.248157795127554e-14 relative error = 1.164004671273445e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.489999999999837 y2[1] (analytic) = 0.6064535233784447 y2[1] (numeric) = 0.6064535233782964 absolute error = 1.483257960899209e-13 relative error = 2.445789996628666e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7951189370036852 y1[1] (numeric) = -0.7951189370037776 absolute error = 9.237055564881302e-14 relative error = 1.161719981125099e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.490999999999837 y2[1] (analytic) = 0.6056581013472244 y2[1] (numeric) = 0.605658101347076 absolute error = 1.484368183923834e-13 relative error = 2.450835183450876e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7957249928665526 y1[1] (numeric) = -0.7957249928666449 absolute error = 9.225953334635051e-14 relative error = 1.159439934316892e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.491999999999837 y2[1] (analytic) = 0.6048620736579534 y2[1] (numeric) = 0.6048620736578046 absolute error = 1.48769885299771e-13 relative error = 2.459567094363725e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7963302530044934 y1[1] (numeric) = -0.7963302530045857 absolute error = 9.225953334635051e-14 relative error = 1.158558688411778e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.492999999999836 y2[1] (analytic) = 0.6040654411066591 y2[1] (numeric) = 0.6040654411065101 absolute error = 1.48991929904696e-13 relative error = 2.46648657191413e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7969347168122477 y1[1] (numeric) = -0.7969347168123398 absolute error = 9.214851104388799e-14 relative error = 1.156286821240309e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.493999999999836 y2[1] (analytic) = 0.603268204489974 y2[1] (numeric) = 0.6032682044898248 absolute error = 1.49213974509621e-13 relative error = 2.47342680086666e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7975383836853515 y1[1] (numeric) = -0.7975383836854436 absolute error = 9.214851104388799e-14 relative error = 1.155411613144915e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.494999999999836 y2[1] (analytic) = 0.6024703646051346 y2[1] (numeric) = 0.6024703646049853 absolute error = 1.493249968120836e-13 relative error = 2.478545096736048e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7981412530201382 y1[1] (numeric) = -0.7981412530202301 absolute error = 9.192646643896296e-14 relative error = 1.1517568612212e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.495999999999836 y2[1] (analytic) = 0.6016719222499809 y2[1] (numeric) = 0.6016719222498313 absolute error = 1.495470414170086e-13 relative error = 2.485524683581216e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7987433242137382 y1[1] (numeric) = -0.7987433242138301 absolute error = 9.192646643896296e-14 relative error = 1.150888697936261e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.496999999999836 y2[1] (analytic) = 0.6008728782229551 y2[1] (numeric) = 0.6008728782228053 absolute error = 1.497690860219336e-13 relative error = 2.49252531525248e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7993445966640806 y1[1] (numeric) = -0.7993445966641725 absolute error = 9.181544413650045e-14 relative error = 1.148634074961856e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.497999999999836 y2[1] (analytic) = 0.6000732333231011 y2[1] (numeric) = 0.6000732333229511 absolute error = 1.499911306268586e-13 relative error = 2.499547093547797e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.799945069769893 y1[1] (numeric) = -0.7999450697699848 absolute error = 9.181544413650045e-14 relative error = 1.147771860921794e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.498999999999836 y2[1] (analytic) = 0.5992729883500638 y2[1] (numeric) = 0.5992729883499136 absolute error = 1.502131752317837e-13 relative error = 2.506590120895571e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8005447429307023 y1[1] (numeric) = -0.800544742930794 absolute error = 9.170442183403793e-14 relative error = 1.1455252519468e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.499999999999836 y2[1] (analytic) = 0.5984721441040881 y2[1] (numeric) = 0.5984721441039377 absolute error = 1.504352198367087e-13 relative error = 2.513654500359578e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8011436155468353 y1[1] (numeric) = -0.801143615546927 absolute error = 9.170442183403793e-14 relative error = 1.14466894642159e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.500999999999836 y2[1] (analytic) = 0.5976707013860182 y2[1] (numeric) = 0.5976707013858675 absolute error = 1.506572644416337e-13 relative error = 2.520740335643935e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8017416870194196 y1[1] (numeric) = -0.8017416870195112 absolute error = 9.159339953157541e-14 relative error = 1.142430299116489e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.501999999999835 y2[1] (analytic) = 0.5968686609972967 y2[1] (numeric) = 0.5968686609971458 absolute error = 1.509903313490213e-13 relative error = 2.529707810370448e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8023389567503837 y1[1] (numeric) = -0.8023389567504752 absolute error = 9.14823772291129e-14 relative error = 1.140196128574299e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.502999999999835 y2[1] (analytic) = 0.5960660237399639 y2[1] (numeric) = 0.5960660237398128 absolute error = 1.511013536514838e-13 relative error = 2.534976791722025e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8029354241424579 y1[1] (numeric) = -0.8029354241425493 absolute error = 9.137135492665038e-14 relative error = 1.137966418958732e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.503999999999835 y2[1] (analytic) = 0.5952627904166571 y2[1] (numeric) = 0.5952627904165056 absolute error = 1.514344205588714e-13 relative error = 2.543992720473492e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8035310885991749 y1[1] (numeric) = -0.8035310885992661 absolute error = 9.126033262418787e-14 relative error = 1.135741154499515e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.504999999999835 y2[1] (analytic) = 0.5944589618306094 y2[1] (numeric) = 0.5944589618304578 absolute error = 1.516564651637964e-13 relative error = 2.551167951052116e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8041259495248702 y1[1] (numeric) = -0.8041259495249614 absolute error = 9.126033262418787e-14 relative error = 1.134900977615638e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.505999999999835 y2[1] (analytic) = 0.5936545387856494 y2[1] (numeric) = 0.5936545387854976 absolute error = 1.518785097687214e-13 relative error = 2.558365174456454e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.804720006324683 y1[1] (numeric) = -0.8047200063247741 absolute error = 9.114931032172535e-14 relative error = 1.132683537197273e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.506999999999835 y2[1] (analytic) = 0.5928495220862002 y2[1] (numeric) = 0.592849522086048 absolute error = 1.52211576676109e-13 relative error = 2.567457187795075e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8053132584045565 y1[1] (numeric) = -0.8053132584046476 absolute error = 9.114931032172535e-14 relative error = 1.131849120456622e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.507999999999835 y2[1] (analytic) = 0.5920439125372783 y2[1] (numeric) = 0.5920439125371258 absolute error = 1.52433621281034e-13 relative error = 2.574701268825831e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8059057051712387 y1[1] (numeric) = -0.8059057051713298 absolute error = 9.103828801926284e-14 relative error = 1.129639453289626e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.508999999999835 y2[1] (analytic) = 0.5912377109444932 y2[1] (numeric) = 0.5912377109443405 absolute error = 1.52655665885959e-13 relative error = 2.581967676623569e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.806497346032283 y1[1] (numeric) = -0.8064973460323739 absolute error = 9.092726571680032e-14 relative error = 1.127434159134364e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.509999999999835 y2[1] (analytic) = 0.5904309181140464 y2[1] (numeric) = 0.5904309181138935 absolute error = 1.528777104908841e-13 relative error = 2.589256520969563e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8070881803960483 y1[1] (numeric) = -0.8070881803961392 absolute error = 9.081624341433781e-14 relative error = 1.125233222592519e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.510999999999834 y2[1] (analytic) = 0.5896235348527306 y2[1] (numeric) = 0.5896235348525775 absolute error = 1.530997550958091e-13 relative error = 2.596567912338312e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8076782076717006 y1[1] (numeric) = -0.8076782076717913 absolute error = 9.070522111187529e-14 relative error = 1.123036628329392e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.511999999999834 y2[1] (analytic) = 0.5888155619679292 y2[1] (numeric) = 0.5888155619677757 absolute error = 1.534328220031966e-13 relative error = 2.605787481064463e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8082674272692125 y1[1] (numeric) = -0.8082674272693031 absolute error = 9.059419880941277e-14 relative error = 1.120844361073556e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.512999999999834 y2[1] (analytic) = 0.5880070002676149 y2[1] (numeric) = 0.5880070002674611 absolute error = 1.537658889105842e-13 relative error = 2.61503500537582e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8088558385993645 y1[1] (numeric) = -0.808855838599455 absolute error = 9.048317650695026e-14 relative error = 1.118656405616522e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.513999999999834 y2[1] (analytic) = 0.5871978505603492 y2[1] (numeric) = 0.5871978505601952 absolute error = 1.539879335155092e-13 relative error = 2.622419911254139e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8094434410737453 y1[1] (numeric) = -0.8094434410738357 absolute error = 9.037215420448774e-14 relative error = 1.11647274681239e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.514999999999834 y2[1] (analytic) = 0.586388113655282 y2[1] (numeric) = 0.5863881136551278 absolute error = 1.542099781204342e-13 relative error = 2.629827831249136e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8100302341047525 y1[1] (numeric) = -0.8100302341048428 absolute error = 9.026113190202523e-14 relative error = 1.11429336957752e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.515999999999834 y2[1] (analytic) = 0.58557779036215 y2[1] (numeric) = 0.5855777903619955 absolute error = 1.544320227253593e-13 relative error = 2.637258879471009e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8106162171055931 y1[1] (numeric) = -0.8106162171056832 absolute error = 9.015010959956271e-14 relative error = 1.112118258890193e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.516999999999834 y2[1] (analytic) = 0.5847668814912763 y2[1] (numeric) = 0.5847668814911217 absolute error = 1.546540673302843e-13 relative error = 2.644713170757627e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8112013894902841 y1[1] (numeric) = -0.8112013894903741 absolute error = 9.00390872971002e-14 relative error = 1.109947399790279e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.517999999999834 y2[1] (analytic) = 0.58395538785357 y2[1] (numeric) = 0.5839553878534151 absolute error = 1.549871342376719e-13 relative error = 2.654092032738222e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8117857506736532 y1[1] (numeric) = -0.8117857506737431 absolute error = 8.992806499463768e-14 relative error = 1.107780777378904e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.518999999999834 y2[1] (analytic) = 0.5831433102605245 y2[1] (numeric) = 0.5831433102603693 absolute error = 1.552091788425969e-13 relative error = 2.661595805210486e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8123693000713393 y1[1] (numeric) = -0.8123693000714292 absolute error = 8.981704269217516e-14 relative error = 1.105618376818126e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.519999999999833 y2[1] (analytic) = 0.5823306495242173 y2[1] (numeric) = 0.5823306495240618 absolute error = 1.555422457499844e-13 relative error = 2.671029695535816e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.812952037099793 y1[1] (numeric) = -0.8129520370998828 absolute error = 8.981704269217516e-14 relative error = 1.104825851874331e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.520999999999833 y2[1] (analytic) = 0.5815174064573091 y2[1] (numeric) = 0.5815174064571533 absolute error = 1.557642903549095e-13 relative error = 2.678583454687088e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8135339611762774 y1[1] (numeric) = -0.8135339611763671 absolute error = 8.970602038971265e-14 relative error = 1.102670873874865e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.521999999999833 y2[1] (analytic) = 0.5807035818730428 y2[1] (numeric) = 0.5807035818728868 absolute error = 1.559863349598345e-13 relative error = 2.686161060978908e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8141150717188684 y1[1] (numeric) = -0.814115071718958 absolute error = 8.959499808725013e-14 relative error = 1.100520076333745e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.522999999999833 y2[1] (analytic) = 0.5798891765852432 y2[1] (numeric) = 0.5798891765850869 absolute error = 1.56319401867222e-13 relative error = 2.695677177279463e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8146953681464555 y1[1] (numeric) = -0.8146953681465451 absolute error = 8.959499808725013e-14 relative error = 1.099736190854885e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.523999999999833 y2[1] (analytic) = 0.5790741914083153 y2[1] (numeric) = 0.5790741914081587 absolute error = 1.565414464721471e-13 relative error = 2.703305531393765e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8152748498787423 y1[1] (numeric) = -0.8152748498788318 absolute error = 8.948397578478762e-14 relative error = 1.09759274185996e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.524999999999833 y2[1] (analytic) = 0.5782586271572442 y2[1] (numeric) = 0.5782586271570874 absolute error = 1.567634910770721e-13 relative error = 2.710958102739103e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8158535163362473 y1[1] (numeric) = -0.8158535163363366 absolute error = 8.93729534823251e-14 relative error = 1.095453432420959e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.525999999999833 y2[1] (analytic) = 0.5774424846475941 y2[1] (numeric) = 0.5774424846474371 absolute error = 1.569855356819971e-13 relative error = 2.718635013109634e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8164313669403038 y1[1] (numeric) = -0.8164313669403931 absolute error = 8.926193117986259e-14 relative error = 1.093318248101916e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.526999999999833 y2[1] (analytic) = 0.5766257646955075 y2[1] (numeric) = 0.5766257646953502 absolute error = 1.573186025893847e-13 relative error = 2.728261763892188e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8170084011130615 y1[1] (numeric) = -0.8170084011131507 absolute error = 8.915090887740007e-14 relative error = 1.091187174525308e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.527999999999833 y2[1] (analytic) = 0.5758084681177043 y2[1] (numeric) = 0.5758084681175467 absolute error = 1.575406471943097e-13 relative error = 2.735990453723337e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8175846182774862 y1[1] (numeric) = -0.8175846182775752 absolute error = 8.903988657493755e-14 relative error = 1.089060197371737e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.528999999999832 y2[1] (analytic) = 0.5749905957314809 y2[1] (numeric) = 0.5749905957313231 absolute error = 1.578737141016973e-13 relative error = 2.745674716659607e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8181600178573607 y1[1] (numeric) = -0.8181600178574496 absolute error = 8.892886427247504e-14 relative error = 1.086937302379631e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.529999999999832 y2[1] (analytic) = 0.5741721483547098 y2[1] (numeric) = 0.5741721483545517 absolute error = 1.580957587066223e-13 relative error = 2.753455721592308e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8187345992772854 y1[1] (numeric) = -0.8187345992773744 absolute error = 8.892886427247504e-14 relative error = 1.086174498439109e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.530999999999832 y2[1] (analytic) = 0.5733531268058381 y2[1] (numeric) = 0.5733531268056797 absolute error = 1.583178033115473e-13 relative error = 2.761261706089213e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8193083619626792 y1[1] (numeric) = -0.819308361962768 absolute error = 8.881784197001252e-14 relative error = 1.084058775590262e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.531999999999832 y2[1] (analytic) = 0.5725335319038873 y2[1] (numeric) = 0.5725335319037288 absolute error = 1.585398479164724e-13 relative error = 2.769092796875465e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8198813053397793 y1[1] (numeric) = -0.819881305339868 absolute error = 8.870681966755001e-14 relative error = 1.081947095144311e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.532999999999832 y2[1] (analytic) = 0.5717133644684524 y2[1] (numeric) = 0.5717133644682937 absolute error = 1.587618925213974e-13 relative error = 2.776949121506114e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8204534288356424 y1[1] (numeric) = -0.820453428835731 absolute error = 8.859579736508749e-14 relative error = 1.079839443060399e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.533999999999832 y2[1] (analytic) = 0.5708926253197006 y2[1] (numeric) = 0.5708926253195417 absolute error = 1.589839371263224e-13 relative error = 2.784830808372961e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.821024731878145 y1[1] (numeric) = -0.8210247318782335 absolute error = 8.859579736508749e-14 relative error = 1.079088046013171e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.534999999999832 y2[1] (analytic) = 0.5700713152783712 y2[1] (numeric) = 0.570071315278212 absolute error = 1.592059817312474e-13 relative error = 2.792737986711464e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8215952138959841 y1[1] (numeric) = -0.8215952138960726 absolute error = 8.848477506262498e-14 relative error = 1.076987469815365e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.535999999999832 y2[1] (analytic) = 0.569249435165774 y2[1] (numeric) = 0.5692494351656144 absolute error = 1.59539048638635e-13 relative error = 2.802621114453541e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8221648743186778 y1[1] (numeric) = -0.8221648743187662 absolute error = 8.837375276016246e-14 relative error = 1.074890882846305e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.536999999999832 y2[1] (analytic) = 0.5684269858037889 y2[1] (numeric) = 0.5684269858036292 absolute error = 1.5976109324356e-13 relative error = 2.810582488754444e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8227337125765658 y1[1] (numeric) = -0.822733712576654 absolute error = 8.815170815523743e-14 relative error = 1.071448839493541e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.537999999999832 y2[1] (analytic) = 0.5676039680148656 y2[1] (numeric) = 0.5676039680147055 absolute error = 1.600941601509476e-13 relative error = 2.820525739290721e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8233017281008096 y1[1] (numeric) = -0.8233017281008977 absolute error = 8.815170815523743e-14 relative error = 1.070709621350918e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.538999999999831 y2[1] (analytic) = 0.5667803826220215 y2[1] (numeric) = 0.5667803826218611 absolute error = 1.603162047558726e-13 relative error = 2.828541877441538e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8238689203233941 y1[1] (numeric) = -0.823868920323482 absolute error = 8.79296635503124e-14 relative error = 1.067277346932778e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.539999999999831 y2[1] (analytic) = 0.5659562304488419 y2[1] (numeric) = 0.5659562304486814 absolute error = 1.605382493607976e-13 relative error = 2.836584186615984e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8244352886771268 y1[1] (numeric) = -0.8244352886772146 absolute error = 8.781864124784988e-14 relative error = 1.065197504934099e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.540999999999831 y2[1] (analytic) = 0.5651315123194791 y2[1] (numeric) = 0.5651315123193184 absolute error = 1.607602939657227e-13 relative error = 2.844652801361428e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8250008325956395 y1[1] (numeric) = -0.8250008325957273 absolute error = 8.781864124784988e-14 relative error = 1.064467304494137e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.541999999999831 y2[1] (analytic) = 0.564306229058651 y2[1] (numeric) = 0.56430622905849 absolute error = 1.609823385706477e-13 relative error = 2.852747857119898e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8255655515133884 y1[1] (numeric) = -0.8255655515134761 absolute error = 8.770761894538737e-14 relative error = 1.062394364500867e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.542999999999831 y2[1] (analytic) = 0.563480381491641 y2[1] (numeric) = 0.5634803814914797 absolute error = 1.613154054780352e-13 relative error = 2.862839786027729e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8261294448656546 y1[1] (numeric) = -0.8261294448657422 absolute error = 8.759659664292485e-14 relative error = 1.060325318112464e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.543999999999831 y2[1] (analytic) = 0.5626539704442964 y2[1] (numeric) = 0.5626539704441349 absolute error = 1.615374500829603e-13 relative error = 2.870991027672002e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8266925120885448 y1[1] (numeric) = -0.8266925120886324 absolute error = 8.759659664292485e-14 relative error = 1.05960312162042e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.544999999999831 y2[1] (analytic) = 0.5618269967430283 y2[1] (numeric) = 0.5618269967428665 absolute error = 1.617594946878853e-13 relative error = 2.879169132591039e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8272547526189918 y1[1] (numeric) = -0.8272547526190792 absolute error = 8.737455203799982e-14 relative error = 1.056198852425836e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.545999999999831 y2[1] (analytic) = 0.5609994612148101 y2[1] (numeric) = 0.5609994612146482 absolute error = 1.619815392928103e-13 relative error = 2.8873742399333e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8278161658947552 y1[1] (numeric) = -0.8278161658948424 absolute error = 8.72635297355373e-14 relative error = 1.054141406398091e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.546999999999831 y2[1] (analytic) = 0.5601713646871777 y2[1] (numeric) = 0.5601713646870153 absolute error = 1.623146062001979e-13 relative error = 2.897588424407251e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8283767513544215 y1[1] (numeric) = -0.8283767513545087 absolute error = 8.72635297355373e-14 relative error = 1.053428039751946e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.54799999999983 y2[1] (analytic) = 0.5593427079882271 y2[1] (numeric) = 0.5593427079880645 absolute error = 1.625366508051229e-13 relative error = 2.905850893984372e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8289365084374055 y1[1] (numeric) = -0.8289365084374927 absolute error = 8.715250743307479e-14 relative error = 1.051377355756262e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.54899999999983 y2[1] (analytic) = 0.5585134919466151 y2[1] (numeric) = 0.5585134919464524 absolute error = 1.627586954100479e-13 relative error = 2.914140799764333e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8294954365839503 y1[1] (numeric) = -0.8294954365840372 absolute error = 8.693046282814976e-14 relative error = 1.047992056305325e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.54999999999983 y2[1] (analytic) = 0.5576837173915579 y2[1] (numeric) = 0.5576837173913948 absolute error = 1.630917623174355e-13 relative error = 2.924449060127864e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8300535352351275 y1[1] (numeric) = -0.8300535352352144 absolute error = 8.693046282814976e-14 relative error = 1.047287423497632e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.55099999999983 y2[1] (analytic) = 0.5568533851528296 y2[1] (numeric) = 0.5568533851526662 absolute error = 1.633138069223605e-13 relative error = 2.932797236700621e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8306108038328387 y1[1] (numeric) = -0.8306108038329255 absolute error = 8.681944052568724e-14 relative error = 1.045248149013479e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.55199999999983 y2[1] (analytic) = 0.5560224960607626 y2[1] (numeric) = 0.5560224960605991 absolute error = 1.635358515272856e-13 relative error = 2.941173292193815e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8311672418198153 y1[1] (numeric) = -0.831167241819902 absolute error = 8.670841822322473e-14 relative error = 1.043212651564314e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.55299999999983 y2[1] (analytic) = 0.5551910509462459 y2[1] (numeric) = 0.5551910509460821 absolute error = 1.637578961322106e-13 relative error = 2.949577372565859e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8317228486396193 y1[1] (numeric) = -0.8317228486397059 absolute error = 8.659739592076221e-14 relative error = 1.041180918167662e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.55399999999983 y2[1] (analytic) = 0.5543590506407244 y2[1] (numeric) = 0.5543590506405605 absolute error = 1.639799407371356e-13 relative error = 2.958009624765912e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8322776237366439 y1[1] (numeric) = -0.8322776237367305 absolute error = 8.659739592076221e-14 relative error = 1.040486893447517e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.55499999999983 y2[1] (analytic) = 0.5535264959761986 y2[1] (numeric) = 0.5535264959760343 absolute error = 1.643130076445232e-13 relative error = 2.968475923717815e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8328315665561142 y1[1] (numeric) = -0.8328315665562007 absolute error = 8.648637361829969e-14 relative error = 1.03846176215359e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.55599999999983 y2[1] (analytic) = 0.5526933877852229 y2[1] (numeric) = 0.5526933877850584 absolute error = 1.645350522494482e-13 relative error = 2.976967987780354e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8333846765440874 y1[1] (numeric) = -0.8333846765441738 absolute error = 8.637535131583718e-14 relative error = 1.036440358779116e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.556999999999829 y2[1] (analytic) = 0.5518597269009056 y2[1] (numeric) = 0.5518597269007407 absolute error = 1.648681191568357e-13 relative error = 2.987500466516923e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8339369531474534 y1[1] (numeric) = -0.8339369531475398 absolute error = 8.637535131583718e-14 relative error = 1.035753973844647e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.557999999999829 y2[1] (analytic) = 0.5510255141569071 y2[1] (numeric) = 0.5510255141567422 absolute error = 1.649791414592983e-13 relative error = 2.994038156503941e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8344883958139359 y1[1] (numeric) = -0.8344883958140221 absolute error = 8.626432901337466e-14 relative error = 1.03373910825009e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.558999999999829 y2[1] (analytic) = 0.5501907503874406 y2[1] (numeric) = 0.5501907503872754 absolute error = 1.652011860642233e-13 relative error = 3.002616564307738e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.835039003992092 y1[1] (numeric) = -0.8350390039921781 absolute error = 8.615330671091215e-14 relative error = 1.031727934851389e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.559999999999829 y2[1] (analytic) = 0.5493554364272695 y2[1] (numeric) = 0.549355436427104 absolute error = 1.654232306691483e-13 relative error = 3.011224058234092e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8355887771313137 y1[1] (numeric) = -0.8355887771313998 absolute error = 8.604228440844963e-14 relative error = 1.02972044100262e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.560999999999829 y2[1] (analytic) = 0.5485195731117077 y2[1] (numeric) = 0.5485195731115421 absolute error = 1.656452752740734e-13 relative error = 3.019860792466911e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.836137714681828 y1[1] (numeric) = -0.8361377146819139 absolute error = 8.593126210598712e-14 relative error = 1.027716614106878e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.561999999999829 y2[1] (analytic) = 0.5476831612766185 y2[1] (numeric) = 0.5476831612764527 absolute error = 1.658673198789984e-13 relative error = 3.02852692225138e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8366858160946972 y1[1] (numeric) = -0.836685816094783 absolute error = 8.58202398035246e-14 relative error = 1.025716441616017e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.562999999999829 y2[1] (analytic) = 0.5468462017584138 y2[1] (numeric) = 0.5468462017582476 absolute error = 1.662003867863859e-13 relative error = 3.03925283291645e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.83723308082182 y1[1] (numeric) = -0.8372330808219057 absolute error = 8.570921750106208e-14 relative error = 1.0237199110304e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.563999999999829 y2[1] (analytic) = 0.5460086953940528 y2[1] (numeric) = 0.5460086953938864 absolute error = 1.66422431391311e-13 relative error = 3.047981337938298e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8377795083159318 y1[1] (numeric) = -0.8377795083160174 absolute error = 8.559819519859957e-14 relative error = 1.021727009898647e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.564999999999829 y2[1] (analytic) = 0.5451706430210419 y2[1] (numeric) = 0.5451706430208753 absolute error = 1.66644475996236e-13 relative error = 3.056739722314872e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8383250980306051 y1[1] (numeric) = -0.8383250980306907 absolute error = 8.559819519859957e-14 relative error = 1.021062060526245e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.565999999999828 y2[1] (analytic) = 0.5443320454774335 y2[1] (numeric) = 0.5443320454772665 absolute error = 1.669775429036235e-13 relative error = 3.067567751907157e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8388698494202502 y1[1] (numeric) = -0.8388698494203357 absolute error = 8.548717289613705e-14 relative error = 1.019075521133796e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.566999999999828 y2[1] (analytic) = 0.5434929036018249 y2[1] (numeric) = 0.5434929036016577 absolute error = 1.671995875085486e-13 relative error = 3.076389524140737e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8394137619401159 y1[1] (numeric) = -0.8394137619402012 absolute error = 8.537615059367454e-14 relative error = 1.017092576566136e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.567999999999828 y2[1] (analytic) = 0.542653218233358 y2[1] (numeric) = 0.5426532182331906 absolute error = 1.674216321134736e-13 relative error = 3.085241669781769e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8399568350462895 y1[1] (numeric) = -0.8399568350463748 absolute error = 8.526512829121202e-14 relative error = 1.015113214555997e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.568999999999828 y2[1] (analytic) = 0.5418129902117181 y2[1] (numeric) = 0.5418129902115504 absolute error = 1.677546990208612e-13 relative error = 3.09617344086397e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8404990681956981 y1[1] (numeric) = -0.8404990681957832 absolute error = 8.515410598874951e-14 relative error = 1.01313742288317e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.569999999999828 y2[1] (analytic) = 0.5409722203771331 y2[1] (numeric) = 0.5409722203769651 absolute error = 1.679767436257862e-13 relative error = 3.105090008294381e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8410404608461085 y1[1] (numeric) = -0.8410404608461935 absolute error = 8.504308368628699e-14 relative error = 1.01116518937426e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.570999999999828 y2[1] (analytic) = 0.5401309095703729 y2[1] (numeric) = 0.5401309095702046 absolute error = 1.683098105331737e-13 relative error = 3.116092923973737e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8415810124561282 y1[1] (numeric) = -0.8415810124562131 absolute error = 8.493206138382448e-14 relative error = 1.009196501902448e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.571999999999828 y2[1] (analytic) = 0.539289058632748 y2[1] (numeric) = 0.5392890586325795 absolute error = 1.685318551380988e-13 relative error = 3.125074622603603e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8421207224852054 y1[1] (numeric) = -0.8421207224852904 absolute error = 8.493206138382448e-14 relative error = 1.008549714026502e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.572999999999828 y2[1] (analytic) = 0.5384466684061096 y2[1] (numeric) = 0.5384466684059407 absolute error = 1.688649220454863e-13 relative error = 3.136149445317476e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8426595903936305 y1[1] (numeric) = -0.8426595903937153 absolute error = 8.482103908136196e-14 relative error = 1.006587239358892e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.573999999999828 y2[1] (analytic) = 0.5376037397328475 y2[1] (numeric) = 0.5376037397326784 absolute error = 1.690869666504113e-13 relative error = 3.145196994619794e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8431976156425354 y1[1] (numeric) = -0.8431976156426201 absolute error = 8.471001677889944e-14 relative error = 1.004628277018413e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.574999999999827 y2[1] (analytic) = 0.5367602734558905 y2[1] (numeric) = 0.5367602734557212 absolute error = 1.693090112553364e-13 relative error = 3.154276119677283e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8437347976938948 y1[1] (numeric) = -0.8437347976939794 absolute error = 8.459899447643693e-14 relative error = 1.002672815055914e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.575999999999827 y2[1] (analytic) = 0.5359162704187048 y2[1] (numeric) = 0.5359162704185353 absolute error = 1.695310558602614e-13 relative error = 3.163386991923363e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8442711360105269 y1[1] (numeric) = -0.8442711360106114 absolute error = 8.448797217397441e-14 relative error = 1.000720841567666e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.576999999999827 y2[1] (analytic) = 0.5350717314652933 y2[1] (numeric) = 0.5350717314651235 absolute error = 1.697531004651864e-13 relative error = 3.172529784003311e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8448066300560934 y1[1] (numeric) = -0.8448066300561777 absolute error = 8.43769498715119e-14 relative error = 9.987723446951339e-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) = 0.534226657440195 y2[1] (numeric) = 0.534226657440025 absolute error = 1.70086167372574e-13 relative error = 3.183782857028519e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8453412792951002 y1[1] (numeric) = -0.8453412792951844 absolute error = 8.426592756904938e-14 relative error = 9.968273126247393e-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) = 0.5333810491884837 y2[1] (numeric) = 0.5333810491883134 absolute error = 1.70308211977499e-13 relative error = 3.192993306316668e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8458750831928981 y1[1] (numeric) = -0.8458750831929822 absolute error = 8.415490526658687e-14 relative error = 9.948857335876356e-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) = 0.5325349075557677 y2[1] (numeric) = 0.5325349075555972 absolute error = 1.70530256582424e-13 relative error = 3.202236213305245e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8464080412156834 y1[1] (numeric) = -0.8464080412157673 absolute error = 8.393286066166183e-14 relative error = 9.916359081502854e-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) = 0.5316882333881886 y2[1] (numeric) = 0.5316882333880177 absolute error = 1.708633234898116e-13 relative error = 3.213599864736208e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8469401528304979 y1[1] (numeric) = -0.8469401528305818 absolute error = 8.382183835919932e-14 relative error = 9.897020241520533e-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) = 0.5308410275324202 y2[1] (numeric) = 0.5308410275322493 absolute error = 1.709743457922741e-13 relative error = 3.220820112323216e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8474714175052303 y1[1] (numeric) = -0.847471417505314 absolute error = 8.37108160567368e-14 relative error = 9.877715558025906e-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) = 0.5299932908356687 y2[1] (numeric) = 0.5299932908354975 absolute error = 1.711963903971991e-13 relative error = 3.230161463502013e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8480018347086157 y1[1] (numeric) = -0.8480018347086993 absolute error = 8.359979375427429e-14 relative error = 9.858444915157554e-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) = 0.5291450241456706 y2[1] (numeric) = 0.529145024145499 absolute error = 1.715294573045867e-13 relative error = 3.241634135774574e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.848531403910237 y1[1] (numeric) = -0.8485314039103206 absolute error = 8.359979375427429e-14 relative error = 9.852292250943962e-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) = 0.5282962283106922 y2[1] (numeric) = 0.5282962283105205 absolute error = 1.717515019095117e-13 relative error = 3.25104539282276e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8490601245805252 y1[1] (numeric) = -0.8490601245806086 absolute error = 8.348877145181177e-14 relative error = 9.833081195876332e-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) = 0.5274469041795297 y2[1] (numeric) = 0.5274469041793577 absolute error = 1.719735465144367e-13 relative error = 3.260490205776263e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8495879961907595 y1[1] (numeric) = -0.8495879961908429 absolute error = 8.337774914934926e-14 relative error = 9.813903859657205e-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) = 0.5265970526015069 y2[1] (numeric) = 0.5265970526013346 absolute error = 1.723066134218243e-13 relative error = 3.272077057222238e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8501150182130685 y1[1] (numeric) = -0.8501150182131517 absolute error = 8.326672684688674e-14 relative error = 9.794760128095654e-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) = 0.5257466744264754 y2[1] (numeric) = 0.5257466744263029 absolute error = 1.725286580267493e-13 relative error = 3.281592949968856e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.85064119012043 y1[1] (numeric) = -0.8506411901205132 absolute error = 8.315570454442422e-14 relative error = 9.775649887428025e-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) = 0.5248957705048133 y2[1] (numeric) = 0.5248957705046405 absolute error = 1.727507026316744e-13 relative error = 3.291142972356837e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8511665113866724 y1[1] (numeric) = -0.8511665113867555 absolute error = 8.304468224196171e-14 relative error = 9.756573024315772e-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) = 0.5240443416874244 y2[1] (numeric) = 0.5240443416872514 absolute error = 1.729727472365994e-13 relative error = 3.300727314021302e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8516909814864744 y1[1] (numeric) = -0.8516909814865573 absolute error = 8.293365993949919e-14 relative error = 9.737529425843317e-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) = 0.5231923888257375 y2[1] (numeric) = 0.5231923888255643 absolute error = 1.731947918415244e-13 relative error = 3.310346165972444e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8522145998953657 y1[1] (numeric) = -0.8522145998954486 absolute error = 8.282263763703668e-14 relative error = 9.718518979515909e-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) = 0.5223399127717053 y2[1] (numeric) = 0.5223399127715319 absolute error = 1.734168364464495e-13 relative error = 3.319999720608049e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8527373660897283 y1[1] (numeric) = -0.852737366089811 absolute error = 8.271161533457416e-14 relative error = 9.699541573257496e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.592999999999825 y2[1] (analytic) = 0.521486914377804 y2[1] (numeric) = 0.5214869143776303 absolute error = 1.73749903353837e-13 relative error = 3.331817128357694e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8532592795467957 y1[1] (numeric) = -0.8532592795468784 absolute error = 8.271161533457416e-14 relative error = 9.693608650644387e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.593999999999825 y2[1] (analytic) = 0.5206333944970317 y2[1] (numeric) = 0.5206333944968577 absolute error = 1.73971947958762e-13 relative error = 3.341544161354288e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8537803397446548 y1[1] (numeric) = -0.8537803397447373 absolute error = 8.248957072964913e-14 relative error = 9.661685434724321e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.594999999999825 y2[1] (analytic) = 0.5197793539829083 y2[1] (numeric) = 0.5197793539827341 absolute error = 1.741939925636871e-13 relative error = 3.351306496283325e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8543005461622453 y1[1] (numeric) = -0.8543005461623276 absolute error = 8.237854842718662e-14 relative error = 9.642806480372028e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.595999999999825 y2[1] (analytic) = 0.5189247936894742 y2[1] (numeric) = 0.5189247936892998 absolute error = 1.744160371686121e-13 relative error = 3.361104331295125e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8548198982793607 y1[1] (numeric) = -0.854819898279443 absolute error = 8.237854842718662e-14 relative error = 9.636947922363966e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.596999999999825 y2[1] (analytic) = 0.5180697144712897 y2[1] (numeric) = 0.5180697144711151 absolute error = 1.746380817735371e-13 relative error = 3.370937865992844e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8553383955766491 y1[1] (numeric) = -0.8553383955767314 absolute error = 8.22675261247241e-14 relative error = 9.618126176746837e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.597999999999825 y2[1] (analytic) = 0.5172141171834339 y2[1] (numeric) = 0.5172141171832589 absolute error = 1.749711486809247e-13 relative error = 3.382953845764226e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8558560375356132 y1[1] (numeric) = -0.8558560375356954 absolute error = 8.215650382226158e-14 relative error = 9.599336829921347e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.598999999999825 y2[1] (analytic) = 0.516358002681504 y2[1] (numeric) = 0.5163580026813288 absolute error = 1.751931932858497e-13 relative error = 3.392862943462717e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8563728236386112 y1[1] (numeric) = -0.8563728236386932 absolute error = 8.193445921733655e-14 relative error = 9.56761552394998e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.599999999999825 y2[1] (analytic) = 0.5155013718216145 y2[1] (numeric) = 0.5155013718214391 absolute error = 1.754152378907747e-13 relative error = 3.402808362486296e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8568887533688568 y1[1] (numeric) = -0.8568887533689387 absolute error = 8.182343691487404e-14 relative error = 9.54889845305885e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.600999999999825 y2[1] (analytic) = 0.514644225460396 y2[1] (numeric) = 0.5146442254602204 absolute error = 1.756372824956998e-13 relative error = 3.412790308461662e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8574038262104205 y1[1] (numeric) = -0.8574038262105023 absolute error = 8.171241461241152e-14 relative error = 9.530213432049462e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.601999999999824 y2[1] (analytic) = 0.513786564454995 y2[1] (numeric) = 0.5137865644548192 absolute error = 1.758593271006248e-13 relative error = 3.422808988537285e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8579180416482295 y1[1] (numeric) = -0.8579180416483111 absolute error = 8.160139230994901e-14 relative error = 9.511560352918638e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.602999999999824 y2[1] (analytic) = 0.5129283896630724 y2[1] (numeric) = 0.5129283896628963 absolute error = 1.760813717055498e-13 relative error = 3.432864611397558e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8584313991680682 y1[1] (numeric) = -0.8584313991681497 absolute error = 8.149037000748649e-14 relative error = 9.492939108059335e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.603999999999824 y2[1] (analytic) = 0.5120697019428029 y2[1] (numeric) = 0.5120697019426266 absolute error = 1.763034163104749e-13 relative error = 3.442957387277086e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8589438982565794 y1[1] (numeric) = -0.8589438982566607 absolute error = 8.137934770502397e-14 relative error = 9.474349590258658e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.604999999999824 y2[1] (analytic) = 0.5112105021528741 y2[1] (numeric) = 0.5112105021526975 absolute error = 1.766364832178624e-13 relative error = 3.45525928113739e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8594555384012639 y1[1] (numeric) = -0.859455538401345 absolute error = 8.115730310009894e-14 relative error = 9.442873944481826e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.605999999999824 y2[1] (analytic) = 0.5103507911524857 y2[1] (numeric) = 0.5103507911523089 absolute error = 1.768585278227874e-13 relative error = 3.465430658457519e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8599663190904815 y1[1] (numeric) = -0.8599663190905626 absolute error = 8.115730310009894e-14 relative error = 9.437265308940543e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.606999999999824 y2[1] (analytic) = 0.5094905698013488 y2[1] (numeric) = 0.5094905698011716 absolute error = 1.77191594730175e-13 relative error = 3.477818928017888e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8604762398134518 y1[1] (numeric) = -0.8604762398135328 absolute error = 8.104628079763643e-14 relative error = 9.418770332950387e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.607999999999824 y2[1] (analytic) = 0.5086298389596844 y2[1] (numeric) = 0.508629838959507 absolute error = 1.774136393351e-13 relative error = 3.488069824962872e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.860985300060254 y1[1] (numeric) = -0.8609853000603348 absolute error = 8.08242361927114e-14 relative error = 9.387411862555041e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.608999999999824 y2[1] (analytic) = 0.5077685994882235 y2[1] (numeric) = 0.5077685994880459 absolute error = 1.77635683940025e-13 relative error = 3.498358979248871e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8614934993218277 y1[1] (numeric) = -0.8614934993219086 absolute error = 8.08242361927114e-14 relative error = 9.381874182026524e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.609999999999824 y2[1] (analytic) = 0.5069068522482054 y2[1] (numeric) = 0.5069068522480276 absolute error = 1.778577285449501e-13 relative error = 3.508686610885713e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8620008370899741 y1[1] (numeric) = -0.8620008370900547 absolute error = 8.060219158778636e-14 relative error = 9.350593191984714e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.610999999999823 y2[1] (analytic) = 0.5060445981013774 y2[1] (numeric) = 0.5060445981011993 absolute error = 1.780797731498751e-13 relative error = 3.519052941539352e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8625073128573552 y1[1] (numeric) = -0.8625073128574356 absolute error = 8.049116928532385e-14 relative error = 9.332230357406349e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.611999999999823 y2[1] (analytic) = 0.5051818379099934 y2[1] (numeric) = 0.505181837909815 absolute error = 1.784128400572627e-13 relative error = 3.531655864656201e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8630129261174951 y1[1] (numeric) = -0.8630129261175756 absolute error = 8.049116928532385e-14 relative error = 9.326762884935672e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.612999999999823 y2[1] (analytic) = 0.5043185725368136 y2[1] (numeric) = 0.5043185725366349 absolute error = 1.786348846621877e-13 relative error = 3.54210402689756e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8635176763647811 y1[1] (numeric) = -0.8635176763648614 absolute error = 8.038014698286133e-14 relative error = 9.308454150150582e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.613999999999823 y2[1] (analytic) = 0.5034548028451032 y2[1] (numeric) = 0.5034548028449244 absolute error = 1.788569292671127e-13 relative error = 3.552591578357456e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8640215630944625 y1[1] (numeric) = -0.8640215630945428 absolute error = 8.026912468039882e-14 relative error = 9.290176091545423e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.614999999999823 y2[1] (analytic) = 0.5025905296986319 y2[1] (numeric) = 0.5025905296984529 absolute error = 1.790789738720377e-13 relative error = 3.56311874757009e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8645245858026529 y1[1] (numeric) = -0.8645245858027331 absolute error = 8.01581023779363e-14 relative error = 9.271928606115336e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.615999999999823 y2[1] (analytic) = 0.501725753961673 y2[1] (numeric) = 0.5017257539614935 absolute error = 1.794120407794253e-13 relative error = 3.575898573329578e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8650267439863295 y1[1] (numeric) = -0.8650267439864096 absolute error = 8.004708007547379e-14 relative error = 9.253711591226689e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.616999999999823 y2[1] (analytic) = 0.5008604764990018 y2[1] (numeric) = 0.5008604764988221 absolute error = 1.796340853843503e-13 relative error = 3.586509493421934e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8655280371433343 y1[1] (numeric) = -0.8655280371434141 absolute error = 7.982503547054876e-14 relative error = 9.222697826636605e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.617999999999823 y2[1] (analytic) = 0.4999946981758958 y2[1] (numeric) = 0.499994698175716 absolute error = 1.798006188380441e-13 relative error = 3.596050508015409e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8660284647723739 y1[1] (numeric) = -0.8660284647724537 absolute error = 7.971401316808624e-14 relative error = 9.204548858453306e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.618999999999823 y2[1] (analytic) = 0.4991284198581333 y2[1] (numeric) = 0.4991284198579533 absolute error = 1.800781745942004e-13 relative error = 3.607852557171234e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.866528026373021 y1[1] (numeric) = -0.8665280263731007 absolute error = 7.971401316808624e-14 relative error = 9.199242349002932e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.619999999999822 y2[1] (analytic) = 0.4982616424119926 y2[1] (numeric) = 0.4982616424118123 absolute error = 1.803557303503567e-13 relative error = 3.619699270393119e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8670267214457139 y1[1] (numeric) = -0.8670267214457935 absolute error = 7.960299086562372e-14 relative error = 9.181146197304117e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.620999999999822 y2[1] (analytic) = 0.497394366704251 y2[1] (numeric) = 0.4973943667040704 absolute error = 1.805777749552817e-13 relative error = 3.630474871514832e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8675245494917577 y1[1] (numeric) = -0.8675245494918371 absolute error = 7.938094626069869e-14 relative error = 9.150282410705759e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.621999999999822 y2[1] (analytic) = 0.4965265936021841 y2[1] (numeric) = 0.4965265936020032 absolute error = 1.80855330711438e-13 relative error = 3.642409752907189e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8680215100133242 y1[1] (numeric) = -0.8680215100134036 absolute error = 7.938094626069869e-14 relative error = 9.145043682094951e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.622999999999822 y2[1] (analytic) = 0.495658323973565 y2[1] (numeric) = 0.4956583239733839 absolute error = 1.811328864675943e-13 relative error = 3.654390084998444e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8685176025134531 y1[1] (numeric) = -0.8685176025135323 absolute error = 7.915890165577366e-14 relative error = 9.114254152902733e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.623999999999822 y2[1] (analytic) = 0.4947895586866632 y2[1] (numeric) = 0.4947895586864819 absolute error = 1.813549310725193e-13 relative error = 3.665294222333549e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8690128264960518 y1[1] (numeric) = -0.8690128264961309 absolute error = 7.904787935331115e-14 relative error = 9.096284536102907e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.624999999999822 y2[1] (analytic) = 0.493920298610244 y2[1] (numeric) = 0.4939202986100624 absolute error = 1.815769756774444e-13 relative error = 3.67624040130264e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8695071814658965 y1[1] (numeric) = -0.8695071814659754 absolute error = 7.893685705084863e-14 relative error = 9.078344461487886e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.625999999999822 y2[1] (analytic) = 0.4930505446135673 y2[1] (numeric) = 0.4930505446133855 absolute error = 1.818545314336006e-13 relative error = 3.688354742131575e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8700006669286321 y1[1] (numeric) = -0.8700006669287109 absolute error = 7.882583474838611e-14 relative error = 9.060433830087207e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.626999999999822 y2[1] (analytic) = 0.4921802975663871 y2[1] (numeric) = 0.492180297566205 absolute error = 1.821320871897569e-13 relative error = 3.700515605568105e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8704932823907733 y1[1] (numeric) = -0.870493282390852 absolute error = 7.87148124459236e-14 relative error = 9.042552543281743e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.627999999999822 y2[1] (analytic) = 0.4913095583389504 y2[1] (numeric) = 0.491309558338768 absolute error = 1.824096429459132e-13 relative error = 3.71272326886159e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8709850273597046 y1[1] (numeric) = -0.8709850273597832 absolute error = 7.860379014346108e-14 relative error = 9.024700502801964e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.628999999999821 y2[1] (analytic) = 0.4904383278019963 y2[1] (numeric) = 0.4904383278018136 absolute error = 1.826316875508383e-13 relative error = 3.723846143292695e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8714759013436812 y1[1] (numeric) = -0.8714759013437596 absolute error = 7.838174553853605e-14 relative error = 8.994138038433823e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.629999999999821 y2[1] (analytic) = 0.4895666068267552 y2[1] (numeric) = 0.4895666068265723 absolute error = 1.829092433069945e-13 relative error = 3.736146231307834e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8719659038518291 y1[1] (numeric) = -0.8719659038519074 absolute error = 7.827072323607354e-14 relative error = 8.97635135620783e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.630999999999821 y2[1] (analytic) = 0.4886943962849481 y2[1] (numeric) = 0.4886943962847649 absolute error = 1.831867990631508e-13 relative error = 3.748493955644587e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8724550343941458 y1[1] (numeric) = -0.872455034394224 absolute error = 7.815970093361102e-14 relative error = 8.958593606819752e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.631999999999821 y2[1] (analytic) = 0.4878216970487854 y2[1] (numeric) = 0.487821697048602 absolute error = 1.834088436680759e-13 relative error = 3.75975166290592e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8729432924815008 y1[1] (numeric) = -0.8729432924815789 absolute error = 7.80486786311485e-14 relative error = 8.940864693430529e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.632999999999821 y2[1] (analytic) = 0.4869485099909663 y2[1] (numeric) = 0.4869485099907827 absolute error = 1.836308882730009e-13 relative error = 3.771053499607331e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8734306776256361 y1[1] (numeric) = -0.873430677625714 absolute error = 7.793765632868599e-14 relative error = 8.923164519541996e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.633999999999821 y2[1] (analytic) = 0.4860748359846779 y2[1] (numeric) = 0.486074835984494 absolute error = 1.839084440291572e-13 relative error = 3.783541759708671e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8739171893391664 y1[1] (numeric) = -0.8739171893392443 absolute error = 7.793765632868599e-14 relative error = 8.918196973287644e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.634999999999821 y2[1] (analytic) = 0.4852006759035939 y2[1] (numeric) = 0.4852006759034098 absolute error = 1.841859997853135e-13 relative error = 3.796078796516556e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8744028271355804 y1[1] (numeric) = -0.8744028271356581 absolute error = 7.771561172376096e-14 relative error = 8.887850005968791e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.635999999999821 y2[1] (analytic) = 0.4843260306218745 y2[1] (numeric) = 0.4843260306216901 absolute error = 1.844080443902385e-13 relative error = 3.807518752470492e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8748875905292399 y1[1] (numeric) = -0.8748875905293176 absolute error = 7.771561172376096e-14 relative error = 8.882925368360634e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.636999999999821 y2[1] (analytic) = 0.4834509010141648 y2[1] (numeric) = 0.4834509010139802 absolute error = 1.846300889951635e-13 relative error = 3.819003927965665e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.875371479035382 y1[1] (numeric) = -0.8753714790354595 absolute error = 7.749356711883593e-14 relative error = 8.852649300869405e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.63799999999982 y2[1] (analytic) = 0.4825752879555944 y2[1] (numeric) = 0.4825752879554095 absolute error = 1.848521336000886e-13 relative error = 3.830534596647192e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8758544921701179 y1[1] (numeric) = -0.8758544921701953 absolute error = 7.738254481637341e-14 relative error = 8.835091388826643e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.63899999999982 y2[1] (analytic) = 0.4816991923217763 y2[1] (numeric) = 0.4816991923215911 absolute error = 1.851296893562449e-13 relative error = 3.843263437165528e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8763366294504347 y1[1] (numeric) = -0.8763366294505119 absolute error = 7.72715225139109e-14 relative error = 8.817561644361386e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.63999999999982 y2[1] (analytic) = 0.480822614988806 y2[1] (numeric) = 0.4808226149886206 absolute error = 1.854072451124011e-13 relative error = 3.856042526550412e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.876817890394195 y1[1] (numeric) = -0.8768178903942722 absolute error = 7.716050021144838e-14 relative error = 8.800059973315438e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64099999999982 y2[1] (analytic) = 0.4799455568332607 y2[1] (numeric) = 0.479945556833075 absolute error = 1.856292897173262e-13 relative error = 3.867715558033933e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.877298274520138 y1[1] (numeric) = -0.877298274520215 absolute error = 7.704947790898586e-14 relative error = 8.782586281858374e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64199999999982 y2[1] (analytic) = 0.4790680187321986 y2[1] (numeric) = 0.4790680187320127 absolute error = 1.859068454734825e-13 relative error = 3.880593949173746e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8777777813478795 y1[1] (numeric) = -0.8777777813479565 absolute error = 7.693845560652335e-14 relative error = 8.765140476485952e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64299999999982 y2[1] (analytic) = 0.4781900015631577 y2[1] (numeric) = 0.4781900015629716 absolute error = 1.861288900784075e-13 relative error = 3.892362648109953e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8782564103979129 y1[1] (numeric) = -0.8782564103979897 absolute error = 7.682743330406083e-14 relative error = 8.74772246401851e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64399999999982 y2[1] (analytic) = 0.4773115062041551 y2[1] (numeric) = 0.4773115062039687 absolute error = 1.863509346833325e-13 relative error = 3.904178555536994e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8787341611916091 y1[1] (numeric) = -0.8787341611916858 absolute error = 7.671641100159832e-14 relative error = 8.730332151599397e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64499999999982 y2[1] (analytic) = 0.476432533533686 y2[1] (numeric) = 0.4764325335334995 absolute error = 1.865729792882576e-13 relative error = 3.916041960956178e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8792110332512173 y1[1] (numeric) = -0.8792110332512939 absolute error = 7.66053886991358e-14 relative error = 8.712969446693387e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64599999999982 y2[1] (analytic) = 0.4755530844307232 y2[1] (numeric) = 0.4755530844305363 absolute error = 1.868505350444138e-13 relative error = 3.929120452832086e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8796870260998655 y1[1] (numeric) = -0.879687026099942 absolute error = 7.649436639667329e-14 relative error = 8.695634257085126e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.646999999999819 y2[1] (analytic) = 0.4746731597747155 y2[1] (numeric) = 0.4746731597745284 absolute error = 1.871280908005701e-13 relative error = 3.942251356478275e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8801621392615609 y1[1] (numeric) = -0.8801621392616373 absolute error = 7.638334409421077e-14 relative error = 8.678326490877569e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.647999999999819 y2[1] (analytic) = 0.4737927604455876 y2[1] (numeric) = 0.4737927604454003 absolute error = 1.873501354054952e-13 relative error = 3.95426336251525e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8806363722611905 y1[1] (numeric) = -0.8806363722612667 absolute error = 7.616129948928574e-14 relative error = 8.648439002550855e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.648999999999819 y2[1] (analytic) = 0.4729118873237387 y2[1] (numeric) = 0.4729118873235512 absolute error = 1.875721800104202e-13 relative error = 3.966324066665191e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8811097246245211 y1[1] (numeric) = -0.8811097246245971 absolute error = 7.605027718682322e-14 relative error = 8.63119258151776e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.649999999999819 y2[1] (analytic) = 0.472030541290042 y2[1] (numeric) = 0.4720305412898542 absolute error = 1.878497357665765e-13 relative error = 3.979609778070506e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8815821958782005 y1[1] (numeric) = -0.8815821958782765 absolute error = 7.593925488436071e-14 relative error = 8.613973290228798e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.650999999999819 y2[1] (analytic) = 0.4711487232258433 y2[1] (numeric) = 0.4711487232256552 absolute error = 1.880717803715015e-13 relative error = 3.991770986533058e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8820537855497576 y1[1] (numeric) = -0.8820537855498334 absolute error = 7.582823258189819e-14 relative error = 8.596781038090182e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.651999999999819 y2[1] (analytic) = 0.4702664340129606 y2[1] (numeric) = 0.4702664340127723 absolute error = 1.882938249764265e-13 relative error = 4.003981814514049e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8825244931676026 y1[1] (numeric) = -0.8825244931676782 absolute error = 7.560618797697316e-14 relative error = 8.567035653095986e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.652999999999819 y2[1] (analytic) = 0.4693836745336831 y2[1] (numeric) = 0.4693836745334946 absolute error = 1.885158695813516e-13 relative error = 4.016242571040328e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8829943182610279 y1[1] (numeric) = -0.8829943182611034 absolute error = 7.549516567451064e-14 relative error = 8.549903902347989e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.653999999999819 y2[1] (analytic) = 0.4685004456707701 y2[1] (numeric) = 0.4685004456705814 absolute error = 1.887934253375079e-13 relative error = 4.029738436368081e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8834632603602086 y1[1] (numeric) = -0.883463260360284 absolute error = 7.538414337204813e-14 relative error = 8.53279890114641e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.654999999999819 y2[1] (analytic) = 0.4676167483074506 y2[1] (numeric) = 0.4676167483072615 absolute error = 1.890709810936642e-13 relative error = 4.043289334225322e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8839313189962026 y1[1] (numeric) = -0.8839313189962779 absolute error = 7.527312106958561e-14 relative error = 8.515720560174992e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.655999999999819 y2[1] (analytic) = 0.4667325833274217 y2[1] (numeric) = 0.4667325833272324 absolute error = 1.892930256985892e-13 relative error = 4.055706253655674e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8843984937009511 y1[1] (numeric) = -0.8843984937010263 absolute error = 7.51620987671231e-14 relative error = 8.498668790421784e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.656999999999818 y2[1] (analytic) = 0.4658479516148484 y2[1] (numeric) = 0.4658479516146588 absolute error = 1.895705814547455e-13 relative error = 4.069365998017263e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8848647840072797 y1[1] (numeric) = -0.8848647840073548 absolute error = 7.505107646466058e-14 relative error = 8.481643503177672e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.657999999999818 y2[1] (analytic) = 0.4649628540543622 y2[1] (numeric) = 0.4649628540541724 absolute error = 1.897926260596705e-13 relative error = 4.081887927276884e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8853301894488981 y1[1] (numeric) = -0.885330189448973 absolute error = 7.494005416219807e-14 relative error = 8.464644610034917e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.658999999999818 y2[1] (analytic) = 0.4640772915310608 y2[1] (numeric) = 0.4640772915308707 absolute error = 1.900701818158268e-13 relative error = 4.095657884675992e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8857947095604007 y1[1] (numeric) = -0.8857947095604756 absolute error = 7.482903185973555e-14 relative error = 8.447672022885692e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.659999999999818 y2[1] (analytic) = 0.4631912649305066 y2[1] (numeric) = 0.4631912649303162 absolute error = 1.903477375719831e-13 relative error = 4.109484612162134e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8862583438772678 y1[1] (numeric) = -0.8862583438773424 absolute error = 7.460698725481052e-14 relative error = 8.418198572711251e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.660999999999818 y2[1] (analytic) = 0.4623047751387259 y2[1] (numeric) = 0.4623047751385354 absolute error = 1.905697821769081e-13 relative error = 4.12216772192593e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8867210919358646 y1[1] (numeric) = -0.8867210919359392 absolute error = 7.460698725481052e-14 relative error = 8.413805415627436e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.661999999999818 y2[1] (analytic) = 0.4614178230422087 y2[1] (numeric) = 0.4614178230420178 absolute error = 1.908473379330644e-13 relative error = 4.136106764900723e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8871829532734434 y1[1] (numeric) = -0.8871829532735179 absolute error = 7.4495964952348e-14 relative error = 8.396911220789338e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.662999999999818 y2[1] (analytic) = 0.4605304095279069 y2[1] (numeric) = 0.4605304095277158 absolute error = 1.910693825379894e-13 relative error = 4.148898283044025e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.887643927428143 y1[1] (numeric) = -0.8876439274282173 absolute error = 7.427392034742297e-14 relative error = 8.367535455644249e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.663999999999818 y2[1] (analytic) = 0.4596425354832339 y2[1] (numeric) = 0.4596425354830426 absolute error = 1.912914271429145e-13 relative error = 4.161743363063754e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8881040139389891 y1[1] (numeric) = -0.8881040139390632 absolute error = 7.416289804496046e-14 relative error = 8.35069956682521e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.664999999999818 y2[1] (analytic) = 0.4587542017960637 y2[1] (numeric) = 0.4587542017958722 absolute error = 1.915689828990708e-13 relative error = 4.175852387815982e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8885632123458952 y1[1] (numeric) = -0.8885632123459692 absolute error = 7.405187574249794e-14 relative error = 8.333889442372212e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.665999999999817 y2[1] (analytic) = 0.45786540935473 y2[1] (numeric) = 0.4578654093545382 absolute error = 1.918465386552271e-13 relative error = 4.190020358288181e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.889021522189663 y1[1] (numeric) = -0.889021522189737 absolute error = 7.394085344003543e-14 relative error = 8.317104996279377e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.666999999999817 y2[1] (analytic) = 0.4569761590480251 y2[1] (numeric) = 0.456976159047833 absolute error = 1.920685832601521e-13 relative error = 4.203032903516679e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8894789430119827 y1[1] (numeric) = -0.8894789430120565 absolute error = 7.382983113757291e-14 relative error = 8.300346142829185e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.667999999999817 y2[1] (analytic) = 0.4560864517651992 y2[1] (numeric) = 0.4560864517650069 absolute error = 1.922906278650771e-13 relative error = 4.216100415192151e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8899354743554336 y1[1] (numeric) = -0.8899354743555072 absolute error = 7.360778653264788e-14 relative error = 8.271137476114305e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.668999999999817 y2[1] (analytic) = 0.4551962883959595 y2[1] (numeric) = 0.455196288395767 absolute error = 1.925681836212334e-13 relative error = 4.230442745915472e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8903911157634843 y1[1] (numeric) = -0.8903911157635578 absolute error = 7.349676423018536e-14 relative error = 8.254435935961023e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.669999999999817 y2[1] (analytic) = 0.4543056698304694 y2[1] (numeric) = 0.4543056698302766 absolute error = 1.928457393773897e-13 relative error = 4.244845534271074e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8908458667804934 y1[1] (numeric) = -0.8908458667805668 absolute error = 7.338574192772285e-14 relative error = 8.23775971402753e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.670999999999817 y2[1] (analytic) = 0.4534145969593474 y2[1] (numeric) = 0.4534145969591543 absolute error = 1.93123295133546e-13 relative error = 4.259309171532058e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8912997269517099 y1[1] (numeric) = -0.8912997269517832 absolute error = 7.327471962526033e-14 relative error = 8.221108725777756e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.671999999999817 y2[1] (analytic) = 0.4525230706736662 y2[1] (numeric) = 0.4525230706734727 absolute error = 1.934008508897023e-13 relative error = 4.273834052301213e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8917526958232738 y1[1] (numeric) = -0.8917526958233469 absolute error = 7.316369732279782e-14 relative error = 8.204482886956956e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.672999999999817 y2[1] (analytic) = 0.4516310918649519 y2[1] (numeric) = 0.4516310918647583 absolute error = 1.936228954946273e-13 relative error = 4.287191448557864e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8922047729422161 y1[1] (numeric) = -0.8922047729422892 absolute error = 7.30526750203353e-14 relative error = 8.187882113590372e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.673999999999817 y2[1] (analytic) = 0.4507386614251835 y2[1] (numeric) = 0.4507386614249896 absolute error = 1.939004512507836e-13 relative error = 4.301837580066747e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8926559578564599 y1[1] (numeric) = -0.8926559578565327 absolute error = 7.283063041541027e-14 relative error = 8.158869021644005e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.674999999999816 y2[1] (analytic) = 0.4498457802467912 y2[1] (numeric) = 0.449845780246597 absolute error = 1.941224958557086e-13 relative error = 4.315312144291106e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8931062501148201 y1[1] (numeric) = -0.8931062501148929 absolute error = 7.271960811294775e-14 relative error = 8.142324399095709e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.675999999999816 y2[1] (analytic) = 0.4489524492226561 y2[1] (numeric) = 0.4489524492224617 absolute error = 1.943445404606337e-13 relative error = 4.328844642614909e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8935556492670047 y1[1] (numeric) = -0.8935556492670773 absolute error = 7.260858581048524e-14 relative error = 8.125804573005274e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.676999999999816 y2[1] (analytic) = 0.4480586692461092 y2[1] (numeric) = 0.4480586692459146 absolute error = 1.945665850655587e-13 relative error = 4.342435453663488e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8940041548636145 y1[1] (numeric) = -0.894004154863687 absolute error = 7.249756350802272e-14 relative error = 8.109309460545253e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.677999999999816 y2[1] (analytic) = 0.4471644412109304 y2[1] (numeric) = 0.4471644412107356 absolute error = 1.947886296704837e-13 relative error = 4.356084959327091e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.894451766456144 y1[1] (numeric) = -0.8944517664562163 absolute error = 7.227551890309769e-14 relative error = 8.080426649438726e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.678999999999816 y2[1] (analytic) = 0.4462697660113477 y2[1] (numeric) = 0.4462697660111526 absolute error = 1.9506618542664e-13 relative error = 4.371037437066258e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8948984835969815 y1[1] (numeric) = -0.8948984835970536 absolute error = 7.205347429817266e-14 relative error = 8.051580779147015e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.679999999999816 y2[1] (analytic) = 0.4453746445420361 y2[1] (numeric) = 0.4453746445418408 absolute error = 1.95288230031565e-13 relative error = 4.384807990862915e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.89534430583941 y1[1] (numeric) = -0.895344305839482 absolute error = 7.194245199571014e-14 relative error = 8.035171668206691e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.680999999999816 y2[1] (analytic) = 0.4444790776981172 y2[1] (numeric) = 0.4444790776979216 absolute error = 1.955657857877213e-13 relative error = 4.399887319792955e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8957892327376072 y1[1] (numeric) = -0.8957892327376791 absolute error = 7.183142969324763e-14 relative error = 8.018786905232689e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.681999999999816 y2[1] (analytic) = 0.4435830663751575 y2[1] (numeric) = 0.4435830663749617 absolute error = 1.958433415438776e-13 relative error = 4.415031961076809e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8962332638466465 y1[1] (numeric) = -0.8962332638467181 absolute error = 7.16093850883226e-14 relative error = 7.990038751850612e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.682999999999816 y2[1] (analytic) = 0.4426866114691685 y2[1] (numeric) = 0.4426866114689724 absolute error = 1.961208973000339e-13 relative error = 4.430242347948059e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8966763987224965 y1[1] (numeric) = -0.896676398722568 absolute error = 7.149836278586008e-14 relative error = 7.973708562835432e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.683999999999815 y2[1] (analytic) = 0.4417897138766048 y2[1] (numeric) = 0.4417897138764085 absolute error = 1.963429419049589e-13 relative error = 4.444262411229407e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8971186369220225 y1[1] (numeric) = -0.8971186369220938 absolute error = 7.127631818093505e-14 relative error = 7.945027028474315e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.684999999999815 y2[1] (analytic) = 0.4408923744943641 y2[1] (numeric) = 0.4408923744941675 absolute error = 1.966204976611152e-13 relative error = 4.459603046811793e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8975599780029864 y1[1] (numeric) = -0.8975599780030575 absolute error = 7.116529587847253e-14 relative error = 7.928751016373387e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.685999999999815 y2[1] (analytic) = 0.4399945942197857 y2[1] (numeric) = 0.4399945942195888 absolute error = 1.968980534172715e-13 relative error = 4.475010738857332e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.898000421524047 y1[1] (numeric) = -0.8980004215241181 absolute error = 7.105427357601002e-14 relative error = 7.912498911238796e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.686999999999815 y2[1] (analytic) = 0.4390963739506497 y2[1] (numeric) = 0.4390963739504525 absolute error = 1.971756091734278e-13 relative error = 4.490485935909562e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8984399670447609 y1[1] (numeric) = -0.8984399670448319 absolute error = 7.09432512735475e-14 relative error = 7.896270633073145e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.687999999999815 y2[1] (analytic) = 0.4381977145851764 y2[1] (numeric) = 0.4381977145849789 absolute error = 1.974531649295841e-13 relative error = 4.506029090464445e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8988786141255828 y1[1] (numeric) = -0.8988786141256535 absolute error = 7.072120666862247e-14 relative error = 7.867714901351739e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.688999999999815 y2[1] (analytic) = 0.4372986170220249 y2[1] (numeric) = 0.4372986170218273 absolute error = 1.976752095345091e-13 relative error = 4.520371248385472e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8993163623278654 y1[1] (numeric) = -0.8993163623279359 absolute error = 7.049916206369744e-14 relative error = 7.839194861440255e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.689999999999815 y2[1] (analytic) = 0.4363990821602929 y2[1] (numeric) = 0.436399082160095 absolute error = 1.979527652906654e-13 relative error = 4.536049074868488e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8997532112138605 y1[1] (numeric) = -0.8997532112139309 absolute error = 7.038813976123492e-14 relative error = 7.823049574479875e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.690999999999815 y2[1] (analytic) = 0.4354991108995152 y2[1] (numeric) = 0.4354991108993169 absolute error = 1.982303210468217e-13 relative error = 4.551796228409761e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9001891603467195 y1[1] (numeric) = -0.9001891603467898 absolute error = 7.027711745877241e-14 relative error = 7.806927760794661e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.691999999999815 y2[1] (analytic) = 0.4345987041396627 y2[1] (numeric) = 0.4345987041394643 absolute error = 1.984523656517467e-13 relative error = 4.56633588092734e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9006242092904931 y1[1] (numeric) = -0.9006242092905632 absolute error = 7.005507285384738e-14 relative error = 7.778502080133554e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.692999999999814 y2[1] (analytic) = 0.4336978627811424 y2[1] (numeric) = 0.4336978627809437 absolute error = 1.98729921407903e-13 relative error = 4.582220445669763e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9010583576101324 y1[1] (numeric) = -0.9010583576102025 absolute error = 7.005507285384738e-14 relative error = 7.774754238965578e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.693999999999814 y2[1] (analytic) = 0.4327965877247955 y2[1] (numeric) = 0.4327965877245964 absolute error = 1.990074771640593e-13 relative error = 4.5981757437192e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9014916048714894 y1[1] (numeric) = -0.9014916048715592 absolute error = 6.983302824892235e-14 relative error = 7.74638697371755e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.694999999999814 y2[1] (analytic) = 0.4318948798718968 y2[1] (numeric) = 0.4318948798716976 absolute error = 1.992295217689843e-13 relative error = 4.612916963222099e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9019239506413165 y1[1] (numeric) = -0.9019239506413862 absolute error = 6.972200594645983e-14 relative error = 7.730364172820085e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.695999999999814 y2[1] (analytic) = 0.4309927401241543 y2[1] (numeric) = 0.4309927401239548 absolute error = 1.995070775251406e-13 relative error = 4.62901248563188e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9023553944872681 y1[1] (numeric) = -0.9023553944873377 absolute error = 6.961098364399732e-14 relative error = 7.714364436592229e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.696999999999814 y2[1] (analytic) = 0.4300901693837076 y2[1] (numeric) = 0.4300901693835078 absolute error = 1.997846332812969e-13 relative error = 4.645180185531231e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9027859359779005 y1[1] (numeric) = -0.9027859359779699 absolute error = 6.938893903907228e-14 relative error = 7.686089943781631e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.697999999999814 y2[1] (analytic) = 0.4291871685531273 y2[1] (numeric) = 0.4291871685529273 absolute error = 2.000621890374532e-13 relative error = 4.661420557187239e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.903215574682672 y1[1] (numeric) = -0.9032155746827413 absolute error = 6.927791673660977e-14 relative error = 7.670141954864903e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.698999999999814 y2[1] (analytic) = 0.4282837385354143 y2[1] (numeric) = 0.428283738535214 absolute error = 2.003397447936095e-13 relative error = 4.677734099331059e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9036443101719442 y1[1] (numeric) = -0.9036443101720133 absolute error = 6.905587213168474e-14 relative error = 7.641930719238953e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.699999999999814 y2[1] (analytic) = 0.4273798802339984 y2[1] (numeric) = 0.4273798802337978 absolute error = 2.006173005497658e-13 relative error = 4.694121315208477e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9040721420169815 y1[1] (numeric) = -0.9040721420170504 absolute error = 6.894484982922222e-14 relative error = 7.626034098938888e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.700999999999814 y2[1] (analytic) = 0.4264755945527379 y2[1] (numeric) = 0.426475594552537 absolute error = 2.008393451546908e-13 relative error = 4.709281087123382e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9044990697899521 y1[1] (numeric) = -0.9044990697900209 absolute error = 6.883382752675971e-14 relative error = 7.610160123519495e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.701999999999813 y2[1] (analytic) = 0.4255708823959184 y2[1] (numeric) = 0.4255708823957173 absolute error = 2.011169009108471e-13 relative error = 4.725814411422617e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9049250930639283 y1[1] (numeric) = -0.904925093063997 absolute error = 6.872280522429719e-14 relative error = 7.59430871693623e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.702999999999813 y2[1] (analytic) = 0.4246657446682519 y2[1] (numeric) = 0.4246657446680506 absolute error = 2.013389455157721e-13 relative error = 4.741115760892316e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.905350211412887 y1[1] (numeric) = -0.9053502114129555 absolute error = 6.850076061937216e-14 relative error = 7.56621689108241e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.703999999999813 y2[1] (analytic) = 0.4237601822748762 y2[1] (numeric) = 0.4237601822746746 absolute error = 2.015609901206972e-13 relative error = 4.756487243295376e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9057744244117095 y1[1] (numeric) = -0.9057744244117779 absolute error = 6.838973831690964e-14 relative error = 7.550416138248552e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.704999999999813 y2[1] (analytic) = 0.4228541961213535 y2[1] (numeric) = 0.4228541961211517 absolute error = 2.018385458768535e-13 relative error = 4.773242118163313e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9061977316361832 y1[1] (numeric) = -0.9061977316362514 absolute error = 6.816769371198461e-14 relative error = 7.5223862665055e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.705999999999813 y2[1] (analytic) = 0.4219477871136699 y2[1] (numeric) = 0.4219477871134678 absolute error = 2.021161016330097e-13 relative error = 4.790073743853075e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9066201326630008 y1[1] (numeric) = -0.9066201326630687 absolute error = 6.794564910705958e-14 relative error = 7.494390060309372e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.706999999999813 y2[1] (analytic) = 0.4210409561582344 y2[1] (numeric) = 0.421040956158032 absolute error = 2.02393657389166e-13 relative error = 4.806982656411768e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9070416270697612 y1[1] (numeric) = -0.907041627069829 absolute error = 6.783462680459706e-14 relative error = 7.478667437098767e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.707999999999813 y2[1] (analytic) = 0.4201337041618778 y2[1] (numeric) = 0.4201337041616752 absolute error = 2.026157019940911e-13 relative error = 4.822648123370343e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9074622144349701 y1[1] (numeric) = -0.9074622144350378 absolute error = 6.772360450213455e-14 relative error = 7.462966878935289e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.708999999999813 y2[1] (analytic) = 0.419226032031852 y2[1] (numeric) = 0.4192260320316492 absolute error = 2.028932577502474e-13 relative error = 4.839710376926972e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9078818943380403 y1[1] (numeric) = -0.9078818943381078 absolute error = 6.750155989720952e-14 relative error = 7.435059595105883e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.709999999999813 y2[1] (analytic) = 0.4183179406758292 y2[1] (numeric) = 0.4183179406756261 absolute error = 2.031153023551724e-13 relative error = 4.855524533014813e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9083006663592917 y1[1] (numeric) = -0.9083006663593591 absolute error = 6.7390537594747e-14 relative error = 7.41940858249791e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.710999999999812 y2[1] (analytic) = 0.4174094310019005 y2[1] (numeric) = 0.4174094310016971 absolute error = 2.033928581113287e-13 relative error = 4.872742276644981e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9087185300799525 y1[1] (numeric) = -0.9087185300800198 absolute error = 6.727951529228449e-14 relative error = 7.403779395404755e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.711999999999812 y2[1] (analytic) = 0.4165005039185756 y2[1] (numeric) = 0.416500503918372 absolute error = 2.036149027162537e-13 relative error = 4.888707235659424e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.909135485082159 y1[1] (numeric) = -0.9091354850822261 absolute error = 6.705747068735946e-14 relative error = 7.375960105803091e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.712999999999812 y2[1] (analytic) = 0.4155911603347816 y2[1] (numeric) = 0.4155911603345777 absolute error = 2.0389245847241e-13 relative error = 4.906082658451238e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9095515309489561 y1[1] (numeric) = -0.9095515309490231 absolute error = 6.694644838489694e-14 relative error = 7.360379935268777e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.713999999999812 y2[1] (analytic) = 0.4146814011598617 y2[1] (numeric) = 0.4146814011596576 absolute error = 2.04114503077335e-13 relative error = 4.922200573896679e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9099666672642981 y1[1] (numeric) = -0.9099666672643649 absolute error = 6.683542608243442e-14 relative error = 7.344821353002616e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.714999999999812 y2[1] (analytic) = 0.4137712273035754 y2[1] (numeric) = 0.413771227303371 absolute error = 2.043920588334913e-13 relative error = 4.939735905888234e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9103808936130486 y1[1] (numeric) = -0.9103808936131152 absolute error = 6.661338147750939e-14 relative error = 7.317089137617927e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.715999999999812 y2[1] (analytic) = 0.4128606396760962 y2[1] (numeric) = 0.4128606396758915 absolute error = 2.046696145896476e-13 relative error = 4.957353521280648e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9107942095809815 y1[1] (numeric) = -0.9107942095810478 absolute error = 6.639133687258436e-14 relative error = 7.289389433330746e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.716999999999812 y2[1] (analytic) = 0.4119496391880116 y2[1] (numeric) = 0.4119496391878067 absolute error = 2.048916591945726e-13 relative error = 4.973706485055596e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9112066147547805 y1[1] (numeric) = -0.9112066147548468 absolute error = 6.628031457012185e-14 relative error = 7.273906213681173e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.717999999999812 y2[1] (analytic) = 0.4110382267503223 y2[1] (numeric) = 0.4110382267501171 absolute error = 2.051692149507289e-13 relative error = 4.991487448084852e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9116181087220409 y1[1] (numeric) = -0.9116181087221069 absolute error = 6.605826996519681e-14 relative error = 7.24626566027754e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.718999999999812 y2[1] (analytic) = 0.4101264032744404 y2[1] (numeric) = 0.4101264032742351 absolute error = 2.05391259555654e-13 relative error = 5.007998946564145e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9120286910712684 y1[1] (numeric) = -0.9120286910713343 absolute error = 6.59472476627343e-14 relative error = 7.230830379390006e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.719999999999811 y2[1] (analytic) = 0.4092141696721895 y2[1] (numeric) = 0.4092141696719839 absolute error = 2.056688153118102e-13 relative error = 5.025945594126567e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9124383613918808 y1[1] (numeric) = -0.9124383613919467 absolute error = 6.583622536027178e-14 relative error = 7.215416201905605e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.720999999999811 y2[1] (analytic) = 0.408301526855803 y2[1] (numeric) = 0.4083015268555971 absolute error = 2.058908599167353e-13 relative error = 5.042617927545697e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9128471192742079 y1[1] (numeric) = -0.9128471192742736 absolute error = 6.572520305780927e-14 relative error = 7.200023056441967e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.721999999999811 y2[1] (analytic) = 0.4073884757379236 y2[1] (numeric) = 0.4073884757377175 absolute error = 2.061129045216603e-13 relative error = 5.05937003122922e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9132549643094918 y1[1] (numeric) = -0.9132549643095574 absolute error = 6.561418075534675e-14 relative error = 7.184650871835923e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.722999999999811 y2[1] (analytic) = 0.4064750172316025 y2[1] (numeric) = 0.4064750172313961 absolute error = 2.063904602778166e-13 relative error = 5.077568153720475e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9136618960898876 y1[1] (numeric) = -0.913661896089953 absolute error = 6.539213615042172e-14 relative error = 7.15714822192698e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.723999999999811 y2[1] (analytic) = 0.405561152250298 y2[1] (numeric) = 0.4055611522500914 absolute error = 2.066680160339729e-13 relative error = 5.095853359900326e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9140679142084632 y1[1] (numeric) = -0.9140679142085285 absolute error = 6.52811138479592e-14 relative error = 7.141823143906037e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.724999999999811 y2[1] (analytic) = 0.4046468817078751 y2[1] (numeric) = 0.4046468817076682 absolute error = 2.069455717901292e-13 relative error = 5.114226283338282e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.914473018259201 y1[1] (numeric) = -0.9144730182592661 absolute error = 6.505906924303417e-14 relative error = 7.11437822046201e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.725999999999811 y2[1] (analytic) = 0.4037322065186041 y2[1] (numeric) = 0.403732206518397 absolute error = 2.071676163950542e-13 relative error = 5.131312613909781e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9148772078369967 y1[1] (numeric) = -0.9148772078370616 absolute error = 6.494804694057166e-14 relative error = 7.099099899332439e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.726999999999811 y2[1] (analytic) = 0.4028171275971604 y2[1] (numeric) = 0.4028171275969529 absolute error = 2.074451721512105e-13 relative error = 5.149859773556284e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9152804825376607 y1[1] (numeric) = -0.9152804825377255 absolute error = 6.483702463810914e-14 relative error = 7.083842152773242e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.727999999999811 y2[1] (analytic) = 0.4019016458586225 y2[1] (numeric) = 0.4019016458584148 absolute error = 2.077227279073668e-13 relative error = 5.168496572428511e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9156828419579185 y1[1] (numeric) = -0.9156828419579832 absolute error = 6.472600233564663e-14 relative error = 7.06860491098087e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.72899999999981 y2[1] (analytic) = 0.4009857622184723 y2[1] (numeric) = 0.4009857622182644 absolute error = 2.079447725122918e-13 relative error = 5.185839301670656e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9160842856954107 y1[1] (numeric) = -0.9160842856954752 absolute error = 6.450395773072159e-14 relative error = 7.041268880816557e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.72999999999981 y2[1] (analytic) = 0.4000694775925933 y2[1] (numeric) = 0.4000694775923851 absolute error = 2.082223282684481e-13 relative error = 5.204654189602767e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9164848133486935 y1[1] (numeric) = -0.9164848133487578 absolute error = 6.428191312579656e-14 relative error = 7.013963809276928e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73099999999981 y2[1] (analytic) = 0.3991527928972701 y2[1] (numeric) = 0.3991527928970616 absolute error = 2.084998840246044e-13 relative error = 5.223560694920804e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9168844245172393 y1[1] (numeric) = -0.9168844245173035 absolute error = 6.417089082333405e-14 relative error = 6.998798224445954e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73199999999981 y2[1] (analytic) = 0.3982357090491871 y2[1] (numeric) = 0.3982357090489784 absolute error = 2.087219286295294e-13 relative error = 5.241165568197442e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.917283118801437 y1[1] (numeric) = -0.917283118801501 absolute error = 6.405986852087153e-14 relative error = 6.983652833879143e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73299999999981 y2[1] (analytic) = 0.3973182269654284 y2[1] (numeric) = 0.3973182269652194 absolute error = 2.089994843856857e-13 relative error = 5.260254128836412e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9176808958025924 y1[1] (numeric) = -0.9176808958026562 absolute error = 6.38378239159465e-14 relative error = 6.956429430746156e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73399999999981 y2[1] (analytic) = 0.3964003475634758 y2[1] (numeric) = 0.3964003475632665 absolute error = 2.09277040141842e-13 relative error = 5.279436343287523e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9180777551229283 y1[1] (numeric) = -0.9180777551229921 absolute error = 6.372680161348399e-14 relative error = 6.94132945253108e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73499999999981 y2[1] (analytic) = 0.3954820717612086 y2[1] (numeric) = 0.3954820717609991 absolute error = 2.09499084746767e-13 relative error = 5.297309276595026e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9184736963655857 y1[1] (numeric) = -0.9184736963656492 absolute error = 6.350475700855895e-14 relative error = 6.914161751158279e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73599999999981 y2[1] (analytic) = 0.3945634004769027 y2[1] (numeric) = 0.3945634004766929 absolute error = 2.097766405029233e-13 relative error = 5.316677630245723e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9188687191346233 y1[1] (numeric) = -0.9188687191346866 absolute error = 6.328271240363392e-14 relative error = 6.887024346985348e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73699999999981 y2[1] (analytic) = 0.3936443346292292 y2[1] (numeric) = 0.3936443346290191 absolute error = 2.100541962590796e-13 relative error = 5.336141734566768e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9192628230350184 y1[1] (numeric) = -0.9192628230350814 absolute error = 6.306066779870889e-14 relative error = 6.859917122560134e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.737999999999809 y2[1] (analytic) = 0.3927248751372538 y2[1] (numeric) = 0.3927248751370435 absolute error = 2.103317520152359e-13 relative error = 5.355702307925539e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.919656007672667 y1[1] (numeric) = -0.9196560076727298 absolute error = 6.283862319378386e-14 relative error = 6.832839960759546e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.738999999999809 y2[1] (analytic) = 0.391805022920436 y2[1] (numeric) = 0.3918050229202255 absolute error = 2.105537966201609e-13 relative error = 5.373943270321937e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9200482726543845 y1[1] (numeric) = -0.9200482726544472 absolute error = 6.272760089132134e-14 relative error = 6.817859753200681e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.739999999999809 y2[1] (analytic) = 0.390884778898628 y2[1] (numeric) = 0.3908847788984172 absolute error = 2.108313523763172e-13 relative error = 5.39369562995939e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.920439617587906 y1[1] (numeric) = -0.9204396175879687 absolute error = 6.261657858885883e-14 relative error = 6.802899113898546e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.740999999999809 y2[1] (analytic) = 0.3899641439920736 y2[1] (numeric) = 0.3899641439918625 absolute error = 2.111089081324735e-13 relative error = 5.413546639733228e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9208300420818867 y1[1] (numeric) = -0.9208300420819492 absolute error = 6.250555628639631e-14 relative error = 6.787957975945129e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.741999999999809 y2[1] (analytic) = 0.3890431191214078 y2[1] (numeric) = 0.3890431191211964 absolute error = 2.113864638886298e-13 relative error = 5.433497046960055e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.921219545745902 y1[1] (numeric) = -0.9212195457459643 absolute error = 6.228351168147128e-14 relative error = 6.760984606665174e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.742999999999809 y2[1] (analytic) = 0.3881217052076552 y2[1] (numeric) = 0.3881217052074435 absolute error = 2.116085084935548e-13 relative error = 5.45211735531098e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9216081281904485 y1[1] (numeric) = -0.9216081281905105 absolute error = 6.206146707654625e-14 relative error = 6.734040768325491e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.743999999999809 y2[1] (analytic) = 0.3871999031722297 y2[1] (numeric) = 0.3871999031720179 absolute error = 2.118860642497111e-13 relative error = 5.472265424494759e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9219957890269433 y1[1] (numeric) = -0.9219957890270053 absolute error = 6.195044477408373e-14 relative error = 6.719167865122795e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.744999999999809 y2[1] (analytic) = 0.3862777139369334 y2[1] (numeric) = 0.3862777139367213 absolute error = 2.121081088546362e-13 relative error = 5.491078081953921e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9223825278677261 y1[1] (numeric) = -0.9223825278677878 absolute error = 6.17284001691587e-14 relative error = 6.692277694359236e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.745999999999809 y2[1] (analytic) = 0.3853551384239553 y2[1] (numeric) = 0.3853551384237429 absolute error = 2.123856646107924e-13 relative error = 5.511426822525786e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9227683443260579 y1[1] (numeric) = -0.9227683443261194 absolute error = 6.150635556423367e-14 relative error = 6.665416725923202e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.746999999999808 y2[1] (analytic) = 0.3844321775558709 y2[1] (numeric) = 0.3844321775556583 absolute error = 2.126632203669487e-13 relative error = 5.531878775575221e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9231532380161223 y1[1] (numeric) = -0.9231532380161837 absolute error = 6.139533326177116e-14 relative error = 6.650611267281167e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.747999999999808 y2[1] (analytic) = 0.383508832255641 y2[1] (numeric) = 0.3835088322554281 absolute error = 2.12940776123105e-13 relative error = 5.552434734571172e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9235372085530256 y1[1] (numeric) = -0.9235372085530867 absolute error = 6.117328865684613e-14 relative error = 6.623803360634583e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.748999999999808 y2[1] (analytic) = 0.3825851034466108 y2[1] (numeric) = 0.3825851034463976 absolute error = 2.131628207280301e-13 relative error = 5.571644551962453e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9239202555527972 y1[1] (numeric) = -0.9239202555528583 absolute error = 6.106226635438361e-14 relative error = 6.609040768117917e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.749999999999808 y2[1] (analytic) = 0.381660992052509 y2[1] (numeric) = 0.3816609920522956 absolute error = 2.134403764841863e-13 relative error = 5.592407422522791e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9243023786323903 y1[1] (numeric) = -0.9243023786324512 absolute error = 6.095124405192109e-14 relative error = 6.594297002903459e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.750999999999808 y2[1] (analytic) = 0.380736498997447 y2[1] (numeric) = 0.3807364989972333 absolute error = 2.136624210891114e-13 relative error = 5.61181871587636e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9246835774096819 y1[1] (numeric) = -0.9246835774097426 absolute error = 6.072919944699606e-14 relative error = 6.567565481925926e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.751999999999808 y2[1] (analytic) = 0.3798116252059177 y2[1] (numeric) = 0.3798116252057038 absolute error = 2.139399768452677e-13 relative error = 5.632791695864457e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9250638515034729 y1[1] (numeric) = -0.9250638515035335 absolute error = 6.061817714453355e-14 relative error = 6.552864112678602e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.752999999999808 y2[1] (analytic) = 0.3788863716027949 y2[1] (numeric) = 0.3788863716025807 absolute error = 2.14217532601424e-13 relative error = 5.653872734857792e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9254432005334897 y1[1] (numeric) = -0.9254432005335501 absolute error = 6.039613253960852e-14 relative error = 6.5261846977526e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.753999999999808 y2[1] (analytic) = 0.377960739113332 y2[1] (numeric) = 0.3779607391131175 absolute error = 2.144950883575802e-13 relative error = 5.67506267610678e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.925821624120383 y1[1] (numeric) = -0.9258216241204432 absolute error = 6.017408793468348e-14 relative error = 6.49953364308751e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.754999999999808 y2[1] (analytic) = 0.3770347286631615 y2[1] (numeric) = 0.3770347286629467 absolute error = 2.147726441137365e-13 relative error = 5.696362371584394e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9261991218857294 y1[1] (numeric) = -0.9261991218857895 absolute error = 6.006306563222097e-14 relative error = 6.484897708597839e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.755999999999807 y2[1] (analytic) = 0.3761083411782937 y2[1] (numeric) = 0.3761083411780787 absolute error = 2.149946887186616e-13 relative error = 5.716296746972266e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9265756934520311 y1[1] (numeric) = -0.9265756934520909 absolute error = 5.984102102729594e-14 relative error = 6.458298167131222e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.756999999999807 y2[1] (analytic) = 0.3751815775851162 y2[1] (numeric) = 0.3751815775849009 absolute error = 2.152722444748179e-13 relative error = 5.737814896467825e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9269513384427165 y1[1] (numeric) = -0.9269513384427761 absolute error = 5.961897642237091e-14 relative error = 6.43172666674511e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.757999999999807 y2[1] (analytic) = 0.3742544388103923 y2[1] (numeric) = 0.3742544388101767 absolute error = 2.155498002309741e-13 relative error = 5.759445390043261e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9273260564821406 y1[1] (numeric) = -0.9273260564822001 absolute error = 5.950795411990839e-14 relative error = 6.417155401160072e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.758999999999807 y2[1] (analytic) = 0.3733269257812608 y2[1] (numeric) = 0.3733269257810449 absolute error = 2.158273559871304e-13 relative error = 5.781189115557867e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9276998471955856 y1[1] (numeric) = -0.9276998471956449 absolute error = 5.928590951498336e-14 relative error = 6.390634825930309e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.759999999999807 y2[1] (analytic) = 0.3723990394252346 y2[1] (numeric) = 0.3723990394250185 absolute error = 2.161049117432867e-13 relative error = 5.803046970175481e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9280727102092609 y1[1] (numeric) = -0.9280727102093198 absolute error = 5.895284260759581e-14 relative error = 6.35217930223411e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.760999999999807 y2[1] (analytic) = 0.3714707806702 y2[1] (numeric) = 0.3714707806699837 absolute error = 2.163269563482118e-13 relative error = 5.823525499311657e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.928444645150303 y1[1] (numeric) = -0.9284446451503618 absolute error = 5.88418203051333e-14 relative error = 6.337676738456236e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.761999999999807 y2[1] (analytic) = 0.3705421504444157 y2[1] (numeric) = 0.3705421504441991 absolute error = 2.16604512104368e-13 relative error = 5.845610596381003e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9288156516467775 y1[1] (numeric) = -0.9288156516468361 absolute error = 5.861977570020827e-14 relative error = 6.311239005961646e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.762999999999807 y2[1] (analytic) = 0.3696131496765119 y2[1] (numeric) = 0.369613149676295 absolute error = 2.168820678605243e-13 relative error = 5.867812550780217e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9291857293276777 y1[1] (numeric) = -0.9291857293277361 absolute error = 5.839773109528323e-14 relative error = 6.284828667949683e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.763999999999807 y2[1] (analytic) = 0.3686837792954891 y2[1] (numeric) = 0.368683779295272 absolute error = 2.171041124654494e-13 relative error = 5.888626640431795e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9295548778229261 y1[1] (numeric) = -0.9295548778229843 absolute error = 5.81756864903582e-14 relative error = 6.258445615024815e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.764999999999807 y2[1] (analytic) = 0.3677540402307178 y2[1] (numeric) = 0.3677540402305005 absolute error = 2.173816682216057e-13 relative error = 5.911061319278149e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.929923096763374 y1[1] (numeric) = -0.9299230967634321 absolute error = 5.806466418789569e-14 relative error = 6.244028607310813e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.765999999999806 y2[1] (analytic) = 0.3668239334119369 y2[1] (numeric) = 0.3668239334117193 absolute error = 2.176037128265307e-13 relative error = 5.932102379540364e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9302903857808028 y1[1] (numeric) = -0.9302903857808607 absolute error = 5.784261958297066e-14 relative error = 6.217695083930456e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.766999999999806 y2[1] (analytic) = 0.3658934597692532 y2[1] (numeric) = 0.3658934597690353 absolute error = 2.17881268582687e-13 relative error = 5.95477352123461e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9306567445079232 y1[1] (numeric) = -0.930656744507981 absolute error = 5.773159728050814e-14 relative error = 6.203317992503587e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.767999999999806 y2[1] (analytic) = 0.3649626202331402 y2[1] (numeric) = 0.364962620232922 absolute error = 2.181588243388433e-13 relative error = 5.97756625594923e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9310221725783767 y1[1] (numeric) = -0.9310221725784343 absolute error = 5.762057497804562e-14 relative error = 6.188958402405279e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.768999999999806 y2[1] (analytic) = 0.3640314157344374 y2[1] (numeric) = 0.3640314157342189 absolute error = 2.184363800949995e-13 relative error = 6.00048156982006e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9313866696267352 y1[1] (numeric) = -0.9313866696267926 absolute error = 5.739853037312059e-14 relative error = 6.16269614381788e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.769999999999806 y2[1] (analytic) = 0.3630998472043491 y2[1] (numeric) = 0.3630998472041305 absolute error = 2.186584246999246e-13 relative error = 6.021991647296555e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9317502352885018 y1[1] (numeric) = -0.9317502352885589 absolute error = 5.717648576819556e-14 relative error = 6.136460566655158e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.770999999999806 y2[1] (analytic) = 0.3621679155744439 y2[1] (numeric) = 0.362167915574225 absolute error = 2.189359804560809e-13 relative error = 6.045151186537902e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9321128692001106 y1[1] (numeric) = -0.9321128692001676 absolute error = 5.695444116327053e-14 relative error = 6.110251563434135e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.771999999999806 y2[1] (analytic) = 0.3612356217766534 y2[1] (numeric) = 0.3612356217764342 absolute error = 2.192135362122372e-13 relative error = 6.06843630575762e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9324745709989279 y1[1] (numeric) = -0.9324745709989847 absolute error = 5.67323965583455e-14 relative error = 6.084069026951591e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.772999999999806 y2[1] (analytic) = 0.3603029667432712 y2[1] (numeric) = 0.3603029667430517 absolute error = 2.194910919683934e-13 relative error = 6.091848034234721e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9328353403232519 y1[1] (numeric) = -0.9328353403233085 absolute error = 5.662137425588298e-14 relative error = 6.069814447238051e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.773999999999806 y2[1] (analytic) = 0.3593699514069522 y2[1] (numeric) = 0.3593699514067324 absolute error = 2.197686477245497e-13 relative error = 6.115387412446254e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9331951768123133 y1[1] (numeric) = -0.9331951768123697 absolute error = 5.639932965095795e-14 relative error = 6.043679934524687e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.774999999999805 y2[1] (analytic) = 0.3584365767007118 y2[1] (numeric) = 0.3584365767004918 absolute error = 2.199906923294748e-13 relative error = 6.137506790027267e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9335540801062757 y1[1] (numeric) = -0.933554080106332 absolute error = 5.628830734849544e-14 relative error = 6.029464017991072e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.775999999999805 y2[1] (analytic) = 0.3575028435579245 y2[1] (numeric) = 0.3575028435577043 absolute error = 2.202127369343998e-13 relative error = 6.159747842641139e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9339120498462359 y1[1] (numeric) = -0.9339120498462919 absolute error = 5.606626274357041e-14 relative error = 6.003377165205379e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.776999999999805 y2[1] (analytic) = 0.3565687529123235 y2[1] (numeric) = 0.356568752912103 absolute error = 2.204902926905561e-13 relative error = 6.183668391850711e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.934269085674224 y1[1] (numeric) = -0.9342690856742798 absolute error = 5.584421813864537e-14 relative error = 5.977316278034061e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.777999999999805 y2[1] (analytic) = 0.3556343056979993 y2[1] (numeric) = 0.3556343056977785 absolute error = 2.207678484467124e-13 relative error = 6.207720821910414e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9346251872332042 y1[1] (numeric) = -0.9346251872332598 absolute error = 5.562217353372034e-14 relative error = 5.951281250870217e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.778999999999805 y2[1] (analytic) = 0.354699502849399 y2[1] (numeric) = 0.354699502849178 absolute error = 2.209898930516374e-13 relative error = 6.230341212106716e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9349803541670751 y1[1] (numeric) = -0.9349803541671305 absolute error = 5.540012892879531e-14 relative error = 5.925271978377383e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.779999999999805 y2[1] (analytic) = 0.3537643453013254 y2[1] (numeric) = 0.3537643453011042 absolute error = 2.212674488077937e-13 relative error = 6.254656574260613e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9353345861206698 y1[1] (numeric) = -0.9353345861207251 absolute error = 5.52891066263328e-14 relative error = 5.911158150972064e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.780999999999805 y2[1] (analytic) = 0.3528288339889361 y2[1] (numeric) = 0.3528288339887145 absolute error = 2.2154500456395e-13 relative error = 6.279107125663577e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9356878827397562 y1[1] (numeric) = -0.9356878827398114 absolute error = 5.517808432387028e-14 relative error = 5.897060904786454e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.781999999999805 y2[1] (analytic) = 0.3518929698477421 y2[1] (numeric) = 0.3518929698475203 absolute error = 2.218225603201063e-13 relative error = 6.303694001505203e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9360402436710379 y1[1] (numeric) = -0.936040243671093 absolute error = 5.506706202140776e-14 relative error = 5.882980181006036e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.782999999999805 y2[1] (analytic) = 0.3509567538136076 y2[1] (numeric) = 0.3509567538133855 absolute error = 2.220446049250313e-13 relative error = 6.326836640475616e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9363916685621539 y1[1] (numeric) = -0.9363916685622088 absolute error = 5.484501741648273e-14 relative error = 5.85705952517692e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.783999999999804 y2[1] (analytic) = 0.3500201868227485 y2[1] (numeric) = 0.3500201868225262 absolute error = 2.223221606811876e-13 relative error = 6.351695389322568e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9367421570616795 y1[1] (numeric) = -0.9367421570617341 absolute error = 5.46229728115577e-14 relative error = 5.831164146908472e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.784999999999804 y2[1] (analytic) = 0.3490832698117318 y2[1] (numeric) = 0.3490832698115092 absolute error = 2.225997164373439e-13 relative error = 6.376693920547861e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.937091708819126 y1[1] (numeric) = -0.9370917088191805 absolute error = 5.451195050909519e-14 relative error = 5.817141481039065e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.785999999999804 y2[1] (analytic) = 0.3481460037174744 y2[1] (numeric) = 0.3481460037172515 absolute error = 2.228772721935002e-13 relative error = 6.401833420853176e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9374403234849418 y1[1] (numeric) = -0.9374403234849961 absolute error = 5.428990590417015e-14 relative error = 5.791291940840245e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.786999999999804 y2[1] (analytic) = 0.3472083894772423 y2[1] (numeric) = 0.3472083894770191 absolute error = 2.231548279496565e-13 relative error = 6.42711509032483e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9377880007105123 y1[1] (numeric) = -0.9377880007105663 absolute error = 5.406786129924512e-14 relative error = 5.765467382636669e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.787999999999804 y2[1] (analytic) = 0.3462704280286495 y2[1] (numeric) = 0.3462704280284262 absolute error = 2.233768725545815e-13 relative error = 6.450937027059667e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9381347401481601 y1[1] (numeric) = -0.938134740148214 absolute error = 5.384581669432009e-14 relative error = 5.739667703363825e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.788999999999804 y2[1] (analytic) = 0.3453321203096577 y2[1] (numeric) = 0.3453321203094341 absolute error = 2.236544283107378e-13 relative error = 6.476502333758814e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.938480541451146 y1[1] (numeric) = -0.9384805414511996 absolute error = 5.362377208939506e-14 relative error = 5.713892800214924e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.789999999999804 y2[1] (analytic) = 0.3443934672585743 y2[1] (numeric) = 0.3443934672583504 absolute error = 2.238764729156628e-13 relative error = 6.500601614129167e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9388254042736687 y1[1] (numeric) = -0.9388254042737221 absolute error = 5.340172748447003e-14 relative error = 5.688142570639617e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.790999999999804 y2[1] (analytic) = 0.3434544698140523 y2[1] (numeric) = 0.3434544698138282 absolute error = 2.240985175205878e-13 relative error = 6.524839162579998e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9391693282708652 y1[1] (numeric) = -0.9391693282709185 absolute error = 5.329070518200751e-14 relative error = 5.674238242013583e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.791999999999804 y2[1] (analytic) = 0.3425151289150892 y2[1] (numeric) = 0.3425151289148648 absolute error = 2.243760732767441e-13 relative error = 6.550836863394954e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9395123130988118 y1[1] (numeric) = -0.9395123130988648 absolute error = 5.306866057708248e-14 relative error = 5.648532737377872e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.792999999999803 y2[1] (analytic) = 0.3415754455010257 y2[1] (numeric) = 0.341575445500801 absolute error = 2.246536290329004e-13 relative error = 6.576984147773756e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9398543584145236 y1[1] (numeric) = -0.9398543584145764 absolute error = 5.284661597215745e-14 relative error = 5.622851615148802e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.793999999999803 y2[1] (analytic) = 0.3406354205115451 y2[1] (numeric) = 0.3406354205113202 absolute error = 2.248756736378255e-13 relative error = 6.601652678988027e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9401954638759553 y1[1] (numeric) = -0.9401954638760079 absolute error = 5.262457136723242e-14 relative error = 5.597194773764133e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.794999999999803 y2[1] (analytic) = 0.3396950548866725 y2[1] (numeric) = 0.3396950548864473 absolute error = 2.251532293939817e-13 relative error = 6.628098529991741e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9405356291420015 y1[1] (numeric) = -0.9405356291420539 absolute error = 5.240252676230739e-14 relative error = 5.571562111911838e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.795999999999803 y2[1] (analytic) = 0.3387543495667732 y2[1] (numeric) = 0.3387543495665478 absolute error = 2.25430785150138e-13 relative error = 6.654697878815058e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9408748538724969 y1[1] (numeric) = -0.9408748538725491 absolute error = 5.218048215738236e-14 relative error = 5.545953528528845e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.796999999999803 y2[1] (analytic) = 0.3378133054925526 y2[1] (numeric) = 0.3378133054923269 absolute error = 2.257083409062943e-13 relative error = 6.681452069426266e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9412131377282169 y1[1] (numeric) = -0.9412131377282689 absolute error = 5.195843755245733e-14 relative error = 5.520368922799796e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.797999999999803 y2[1] (analytic) = 0.3368719236050546 y2[1] (numeric) = 0.3368719236048287 absolute error = 2.259303855112194e-13 relative error = 6.706714620007868e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9415504803708775 y1[1] (numeric) = -0.9415504803709294 absolute error = 5.184741524999481e-14 relative error = 5.50659962804884e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.798999999999803 y2[1] (analytic) = 0.3359302048456612 y2[1] (numeric) = 0.335930204845435 absolute error = 2.262079412673756e-13 relative error = 6.733777969483393e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9418868814631363 y1[1] (numeric) = -0.9418868814631879 absolute error = 5.162537064506978e-14 relative error = 5.481058464778109e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.799999999999803 y2[1] (analytic) = 0.3349881501560908 y2[1] (numeric) = 0.3349881501558644 absolute error = 2.264854970235319e-13 relative error = 6.761000259800202e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.942222340668592 y1[1] (numeric) = -0.9422223406686435 absolute error = 5.151434834260726e-14 relative error = 5.467324018877877e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.800999999999803 y2[1] (analytic) = 0.3340457604783983 y2[1] (numeric) = 0.3340457604781715 absolute error = 2.267630527796882e-13 relative error = 6.788382898646375e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9425568576517857 y1[1] (numeric) = -0.9425568576518369 absolute error = 5.129230373768223e-14 relative error = 5.441825956841264e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.801999999999802 y2[1] (analytic) = 0.3331030367549731 y2[1] (numeric) = 0.3331030367547461 absolute error = 2.270406085358445e-13 relative error = 6.81592731028907e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9428904320782002 y1[1] (numeric) = -0.9428904320782513 absolute error = 5.10702591327572e-14 relative error = 5.416351401529717e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.802999999999802 y2[1] (analytic) = 0.3321599799285389 y2[1] (numeric) = 0.3321599799283116 absolute error = 2.273181642920008e-13 relative error = 6.843634935819365e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9432230636142612 y1[1] (numeric) = -0.9432230636143121 absolute error = 5.084821452783217e-14 relative error = 5.39090025354034e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.803999999999802 y2[1] (analytic) = 0.3312165909421524 y2[1] (numeric) = 0.3312165909419249 absolute error = 2.275402088969258e-13 relative error = 6.869831256027453e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9435547519273372 y1[1] (numeric) = -0.9435547519273879 absolute error = 5.073719222536965e-14 relative error = 5.37723880058175e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.804999999999802 y2[1] (analytic) = 0.3302728707392027 y2[1] (numeric) = 0.3302728707389749 absolute error = 2.278177646530821e-13 relative error = 6.897864912222129e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.94388549668574 y1[1] (numeric) = -0.9438854966857905 absolute error = 5.051514762044462e-14 relative error = 5.351830046951478e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.805999999999802 y2[1] (analytic) = 0.3293288202634097 y2[1] (numeric) = 0.3293288202631816 absolute error = 2.280953204092384e-13 relative error = 6.926066179898835e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9442152975587246 y1[1] (numeric) = -0.944215297558775 absolute error = 5.040412531798211e-14 relative error = 5.338202573957691e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.806999999999802 y2[1] (analytic) = 0.3283844404588239 y2[1] (numeric) = 0.3283844404585956 absolute error = 2.283173650141634e-13 relative error = 6.952746137885061e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9445441542164904 y1[1] (numeric) = -0.9445441542165406 absolute error = 5.018208071305708e-14 relative error = 5.312835878454369e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.807999999999802 y2[1] (analytic) = 0.3274397322698249 y2[1] (numeric) = 0.3274397322695964 absolute error = 2.285394096190885e-13 relative error = 6.979586992538884e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9448720663301807 y1[1] (numeric) = -0.9448720663302307 absolute error = 4.996003610813204e-14 relative error = 5.287492126015901e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.808999999999802 y2[1] (analytic) = 0.326494696641121 y2[1] (numeric) = 0.3264946966408922 absolute error = 2.288169653752448e-13 relative error = 7.008290417248571e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9451990335718834 y1[1] (numeric) = -0.9451990335719332 absolute error = 4.984901380566953e-14 relative error = 5.273917136509478e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.809999999999802 y2[1] (analytic) = 0.3255493345177477 y2[1] (numeric) = 0.3255493345175186 absolute error = 2.290945211314011e-13 relative error = 7.037167545458818e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9455250556146313 y1[1] (numeric) = -0.9455250556146809 absolute error = 4.96269692007445e-14 relative error = 5.248614926283986e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.810999999999801 y2[1] (analytic) = 0.324603646845067 y2[1] (numeric) = 0.3246036468448376 absolute error = 2.293720768875573e-13 relative error = 7.06621996138683e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9458501321324023 y1[1] (numeric) = -0.9458501321324518 absolute error = 4.951594689828198e-14 relative error = 5.235073212565838e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.811999999999801 y2[1] (analytic) = 0.3236576345687665 y2[1] (numeric) = 0.3236576345685369 absolute error = 2.295941214924824e-13 relative error = 7.093734148999389e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9461742628001202 y1[1] (numeric) = -0.9461742628001694 absolute error = 4.918287999089443e-14 relative error = 5.19807840104866e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.812999999999801 y2[1] (analytic) = 0.3227112986348584 y2[1] (numeric) = 0.3227112986346285 absolute error = 2.298716772486387e-13 relative error = 7.123136940697389e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9464974472936539 y1[1] (numeric) = -0.946497447293703 absolute error = 4.907185768843192e-14 relative error = 5.18457369628882e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.813999999999801 y2[1] (analytic) = 0.3217646399896785 y2[1] (numeric) = 0.3217646399894484 absolute error = 2.30149233004795e-13 relative error = 7.152719857973754e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9468196852898194 y1[1] (numeric) = -0.9468196852898682 absolute error = 4.873879078104437e-14 relative error = 5.147631754838889e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.814999999999801 y2[1] (analytic) = 0.3208176595798855 y2[1] (numeric) = 0.3208176595796551 absolute error = 2.304267887609512e-13 relative error = 7.182484563433878e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9471409764663784 y1[1] (numeric) = -0.9471409764664269 absolute error = 4.851674617611934e-14 relative error = 5.122441894249688e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.815999999999801 y2[1] (analytic) = 0.3198703583524596 y2[1] (numeric) = 0.3198703583522289 absolute error = 2.306488333658763e-13 relative error = 7.210697313557524e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9474613205020398 y1[1] (numeric) = -0.9474613205020882 absolute error = 4.840572387365683e-14 relative error = 5.108992085081389e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.816999999999801 y2[1] (analytic) = 0.318922737254702 y2[1] (numeric) = 0.3189227372544711 absolute error = 2.309263891220326e-13 relative error = 7.240825508706432e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9477807170764597 y1[1] (numeric) = -0.9477807170765079 absolute error = 4.818367926873179e-14 relative error = 5.083842538742503e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.817999999999801 y2[1] (analytic) = 0.3179747972342338 y2[1] (numeric) = 0.3179747972340026 absolute error = 2.311484337269576e-13 relative error = 7.269394799131952e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9480991658702416 y1[1] (numeric) = -0.9480991658702895 absolute error = 4.796163466380676e-14 relative error = 5.058714994204611e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.818999999999801 y2[1] (analytic) = 0.3170265392389948 y2[1] (numeric) = 0.3170265392387634 absolute error = 2.314259894831139e-13 relative error = 7.299893253058231e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9484166665649366 y1[1] (numeric) = -0.9484166665649844 absolute error = 4.773959005888173e-14 relative error = 5.033609355663203e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8199999999998 y2[1] (analytic) = 0.316077964217243 y2[1] (numeric) = 0.3160779642170113 absolute error = 2.316480340880389e-13 relative error = 7.328825806054145e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9487332188430441 y1[1] (numeric) = -0.9487332188430916 absolute error = 4.75175454539567e-14 relative error = 5.008525527534825e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8209999999998 y2[1] (analytic) = 0.3151290731175533 y2[1] (numeric) = 0.3151290731173214 absolute error = 2.319255898441952e-13 relative error = 7.359701456605353e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9490488223880117 y1[1] (numeric) = -0.9490488223880591 absolute error = 4.740652315149418e-14 relative error = 4.995161685381911e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8219999999998 y2[1] (analytic) = 0.3141798668888168 y2[1] (numeric) = 0.3141798668885846 absolute error = 2.321476344491202e-13 relative error = 7.389004163378603e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9493634768842361 y1[1] (numeric) = -0.9493634768842832 absolute error = 4.718447854656915e-14 relative error = 4.970117314964157e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8229999999998 y2[1] (analytic) = 0.3132303464802395 y2[1] (numeric) = 0.3132303464800071 absolute error = 2.323696790540453e-13 relative error = 7.418491907478849e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9496771820170626 y1[1] (numeric) = -0.9496771820171096 absolute error = 4.696243394164412e-14 relative error = 4.945094483780106e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8239999999998 y2[1] (analytic) = 0.3122805128413419 y2[1] (numeric) = 0.3122805128411092 absolute error = 2.326472348102016e-13 relative error = 7.449944048490818e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9499899374727864 y1[1] (numeric) = -0.9499899374728331 absolute error = 4.674038933671909e-14 relative error = 4.920093097097466e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8249999999998 y2[1] (analytic) = 0.3113303669219575 y2[1] (numeric) = 0.3113303669217246 absolute error = 2.329247905663578e-13 relative error = 7.481595607560701e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9503017429386518 y1[1] (numeric) = -0.9503017429386983 absolute error = 4.651834473179406e-14 relative error = 4.895113060399503e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8259999999998 y2[1] (analytic) = 0.3103799096722321 y2[1] (numeric) = 0.3103799096719989 absolute error = 2.332023463225141e-13 relative error = 7.513448488620957e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9506125981028534 y1[1] (numeric) = -0.9506125981028998 absolute error = 4.640732242933154e-14 relative error = 4.881833306432829e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8269999999998 y2[1] (analytic) = 0.3094291420426228 y2[1] (numeric) = 0.3094291420423894 absolute error = 2.334243909274392e-13 relative error = 7.543710633928777e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9509225026545362 y1[1] (numeric) = -0.9509225026545823 absolute error = 4.618527782440651e-14 relative error = 4.856891880829254e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8279999999998 y2[1] (analytic) = 0.3084780649838973 y2[1] (numeric) = 0.3084780649836636 absolute error = 2.337574578348267e-13 relative error = 7.577765953862195e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9512314562837956 y1[1] (numeric) = -0.9512314562838415 absolute error = 4.596323321948148e-14 relative error = 4.831971537090187e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.828999999999799 y2[1] (analytic) = 0.3075266794471326 y2[1] (numeric) = 0.3075266794468986 absolute error = 2.339795024397517e-13 relative error = 7.60842938441624e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9515394586816779 y1[1] (numeric) = -0.9515394586817237 absolute error = 4.585221091701897e-14 relative error = 4.818739832454818e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.829999999999799 y2[1] (analytic) = 0.306574986383714 y2[1] (numeric) = 0.3065749863834797 absolute error = 2.34257058195908e-13 relative error = 7.641101479254679e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9518465095401808 y1[1] (numeric) = -0.9518465095402265 absolute error = 4.574118861455645e-14 relative error = 4.805521494915515e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.830999999999799 y2[1] (analytic) = 0.3056229867453346 y2[1] (numeric) = 0.3056229867451001 absolute error = 2.344791028008331e-13 relative error = 7.67216842220761e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9521526085522536 y1[1] (numeric) = -0.9521526085522991 absolute error = 4.551914400963142e-14 relative error = 4.780656336051339e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.831999999999799 y2[1] (analytic) = 0.3046706814839939 y2[1] (numeric) = 0.3046706814837591 absolute error = 2.347566585569894e-13 relative error = 7.705259246263328e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9524577554117971 y1[1] (numeric) = -0.9524577554118424 absolute error = 4.529709940470639e-14 relative error = 4.755811913686617e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.832999999999799 y2[1] (analytic) = 0.3037180715519971 y2[1] (numeric) = 0.3037180715517621 absolute error = 2.349787031619144e-13 relative error = 7.736737625165831e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9527619498136646 y1[1] (numeric) = -0.9527619498137097 absolute error = 4.507505479978136e-14 relative error = 4.730988134926763e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.833999999999799 y2[1] (analytic) = 0.3027651579019541 y2[1] (numeric) = 0.3027651579017188 absolute error = 2.352562589180707e-13 relative error = 7.770255353961662e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9530651914536618 y1[1] (numeric) = -0.9530651914537065 absolute error = 4.474198789239381e-14 relative error = 4.694535934540966e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.834999999999799 y2[1] (analytic) = 0.3018119414867784 y2[1] (numeric) = 0.3018119414865428 absolute error = 2.35533814674227e-13 relative error = 7.803992562850436e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9533674800285468 y1[1] (numeric) = -0.9533674800285914 absolute error = 4.463096558993129e-14 relative error = 4.681402137672549e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.835999999999799 y2[1] (analytic) = 0.3008584232596863 y2[1] (numeric) = 0.3008584232594506 absolute error = 2.35755859279152e-13 relative error = 7.836106322862e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9536688152360312 y1[1] (numeric) = -0.9536688152360756 absolute error = 4.440892098500626e-14 relative error = 4.656639734415049e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.836999999999799 y2[1] (analytic) = 0.2999046041741961 y2[1] (numeric) = 0.2999046041739601 absolute error = 2.35977903884077e-13 relative error = 7.868432181421664e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9539691967747799 y1[1] (numeric) = -0.9539691967748241 absolute error = 4.418687638008123e-14 relative error = 4.631897605234019e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.837999999999798 y2[1] (analytic) = 0.2989504851841267 y2[1] (numeric) = 0.2989504851838904 absolute error = 2.362554596402333e-13 relative error = 7.90282910879777e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9542686243444114 y1[1] (numeric) = -0.9542686243444553 absolute error = 4.385380947269368e-14 relative error = 4.595541376289253e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.838999999999798 y2[1] (analytic) = 0.297996067243597 y2[1] (numeric) = 0.2979960672433605 absolute error = 2.364775042451583e-13 relative error = 7.935591446978718e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.954567097645498 y1[1] (numeric) = -0.9545670976455417 absolute error = 4.374278717023117e-14 relative error = 4.582473801802472e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.839999999999798 y2[1] (analytic) = 0.2970413513070249 y2[1] (numeric) = 0.2970413513067882 absolute error = 2.367550600013146e-13 relative error = 7.970441117358177e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9548646163795664 y1[1] (numeric) = -0.95486461637961 absolute error = 4.352074256530614e-14 relative error = 4.557791944403382e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.840999999999798 y2[1] (analytic) = 0.2960863383291263 y2[1] (numeric) = 0.2960863383288893 absolute error = 2.370326157574709e-13 relative error = 8.005523560968494e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9551611802490981 y1[1] (numeric) = -0.9551611802491414 absolute error = 4.329869796038111e-14 relative error = 4.533129994781526e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.841999999999798 y2[1] (analytic) = 0.295131029264914 y2[1] (numeric) = 0.2951310292646767 absolute error = 2.37254660362396e-13 relative error = 8.038960218901031e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9554567889575292 y1[1] (numeric) = -0.9554567889575722 absolute error = 4.307665335545607e-14 relative error = 4.508487861858802e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.842999999999798 y2[1] (analytic) = 0.294175425069697 y2[1] (numeric) = 0.2941754250694595 absolute error = 2.375322161185522e-13 relative error = 8.074509149167553e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9557514422092509 y1[1] (numeric) = -0.9557514422092938 absolute error = 4.285460875053104e-14 relative error = 4.483865454753718e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.843999999999798 y2[1] (analytic) = 0.2932195266990795 y2[1] (numeric) = 0.2932195266988417 absolute error = 2.377542607234773e-13 relative error = 8.108404764170969e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.95604513970961 y1[1] (numeric) = -0.9560451397096527 absolute error = 4.263256414560601e-14 relative error = 4.459262682780362e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.844999999999798 y2[1] (analytic) = 0.2922633351089597 y2[1] (numeric) = 0.2922633351087217 absolute error = 2.380318164796336e-13 relative error = 8.144429625115039e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9563378811649091 y1[1] (numeric) = -0.9563378811649516 absolute error = 4.241051954068098e-14 relative error = 4.434679455447377e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.845999999999798 y2[1] (analytic) = 0.2913068512555291 y2[1] (numeric) = 0.2913068512552909 absolute error = 2.382538610845586e-13 relative error = 8.178793600551694e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9566296662824068 y1[1] (numeric) = -0.9566296662824489 absolute error = 4.218847493575595e-14 relative error = 4.410115682456944e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.846999999999797 y2[1] (analytic) = 0.2903500760952716 y2[1] (numeric) = 0.2903500760950331 absolute error = 2.385314168407149e-13 relative error = 8.215304092513699e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9569204947703179 y1[1] (numeric) = -0.9569204947703598 absolute error = 4.18554080283684e-14 relative error = 4.373969233297133e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.847999999999797 y2[1] (analytic) = 0.2893930105849622 y2[1] (numeric) = 0.2893930105847234 absolute error = 2.387534614456399e-13 relative error = 8.250146088982507e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.957210366337814 y1[1] (numeric) = -0.9572103663378556 absolute error = 4.163336342344337e-14 relative error = 4.34944761230786e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.848999999999797 y2[1] (analytic) = 0.2884356556816663 y2[1] (numeric) = 0.2884356556814273 absolute error = 2.389755060505649e-13 relative error = 8.285227618124705e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9574992806950234 y1[1] (numeric) = -0.9574992806950648 absolute error = 4.141131881851834e-14 relative error = 4.324945162199908e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.849999999999797 y2[1] (analytic) = 0.2874780123427388 y2[1] (numeric) = 0.2874780123424995 absolute error = 2.392530618067212e-13 relative error = 8.322482121571005e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.957787237553032 y1[1] (numeric) = -0.9577872375530733 absolute error = 4.130029651605582e-14 relative error = 4.312053334681133e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.850999999999797 y2[1] (analytic) = 0.2865200815258229 y2[1] (numeric) = 0.2865200815255833 absolute error = 2.395306175628775e-13 relative error = 8.359994046046983e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9580742366238828 y1[1] (numeric) = -0.9580742366239239 absolute error = 4.107825191113079e-14 relative error = 4.287585485638848e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.851999999999797 y2[1] (analytic) = 0.2855618641888493 y2[1] (numeric) = 0.2855618641886095 absolute error = 2.397526621678026e-13 relative error = 8.395822139935607e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9583602776205769 y1[1] (numeric) = -0.9583602776206177 absolute error = 4.085620730620576e-14 relative error = 4.263136553159717e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.852999999999797 y2[1] (analytic) = 0.2846033612900353 y2[1] (numeric) = 0.2846033612897953 absolute error = 2.400302179239588e-13 relative error = 8.433850423830637e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9586453602570731 y1[1] (numeric) = -0.9586453602571138 absolute error = 4.063416270128073e-14 relative error = 4.238706448272399e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.853999999999797 y2[1] (analytic) = 0.2836445737878838 y2[1] (numeric) = 0.2836445737876435 absolute error = 2.402522625288839e-13 relative error = 8.470187154313422e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9589294842482891 y1[1] (numeric) = -0.9589294842483295 absolute error = 4.04121180963557e-14 relative error = 4.214295082191055e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.854999999999797 y2[1] (analytic) = 0.2826855026411821 y2[1] (numeric) = 0.2826855026409416 absolute error = 2.405298182850402e-13 relative error = 8.508742614592058e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9592126493101008 y1[1] (numeric) = -0.9592126493101408 absolute error = 4.007905118896815e-14 relative error = 4.178328050385325e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.855999999999796 y2[1] (analytic) = 0.2817261488090013 y2[1] (numeric) = 0.2817261488087605 absolute error = 2.408073740411965e-13 relative error = 8.547569157467662e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.959494855159343 y1[1] (numeric) = -0.9594948551593828 absolute error = 3.985700658404312e-14 relative error = 4.153957300523939e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.856999999999796 y2[1] (analytic) = 0.2807665132506952 y2[1] (numeric) = 0.2807665132504542 absolute error = 2.410849297973527e-13 relative error = 8.586669649670402e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9597761015138099 y1[1] (numeric) = -0.9597761015138496 absolute error = 3.97459842815806e-14 relative error = 4.141172531686414e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.857999999999796 y2[1] (analytic) = 0.2798065969258993 y2[1] (numeric) = 0.279806596925658 absolute error = 2.413069744022778e-13 relative error = 8.624063086910804e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9600563880922555 y1[1] (numeric) = -0.9600563880922949 absolute error = 3.941291737419306e-14 relative error = 4.105271092723121e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.858999999999796 y2[1] (analytic) = 0.2788464007945297 y2[1] (numeric) = 0.2788464007942881 absolute error = 2.415845301584341e-13 relative error = 8.66371340889021e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9603357146143928 y1[1] (numeric) = -0.960335714614432 absolute error = 3.919087276926803e-14 relative error = 4.080955458894339e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.859999999999796 y2[1] (analytic) = 0.2778859258167826 y2[1] (numeric) = 0.2778859258165408 absolute error = 2.418620859145904e-13 relative error = 8.703646476650145e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9606140808008956 y1[1] (numeric) = -0.9606140808009346 absolute error = 3.896882816434299e-14 relative error = 4.056658021486985e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.860999999999796 y2[1] (analytic) = 0.2769251729531328 y2[1] (numeric) = 0.2769251729528907 absolute error = 2.420841305195154e-13 relative error = 8.741860768305309e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9608914863733977 y1[1] (numeric) = -0.9608914863734365 absolute error = 3.874678355941796e-14 relative error = 4.032378693004795e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.861999999999796 y2[1] (analytic) = 0.2759641431643332 y2[1] (numeric) = 0.2759641431640908 absolute error = 2.423616862756717e-13 relative error = 8.782361487135245e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9611679310544934 y1[1] (numeric) = -0.961167931054532 absolute error = 3.863576125695545e-14 relative error = 4.019668156694357e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.862999999999796 y2[1] (analytic) = 0.2750028374114133 y2[1] (numeric) = 0.2750028374111707 absolute error = 2.42639242031828e-13 relative error = 8.823154128727465e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9614434145677382 y1[1] (numeric) = -0.9614434145677766 absolute error = 3.841371665203042e-14 relative error = 3.995421474627407e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.863999999999796 y2[1] (analytic) = 0.274041256655679 y2[1] (numeric) = 0.2740412566554361 absolute error = 2.429167977879843e-13 relative error = 8.864241857319998e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9617179366376486 y1[1] (numeric) = -0.9617179366376868 absolute error = 3.819167204710538e-14 relative error = 3.971192653495768e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.864999999999795 y2[1] (analytic) = 0.2730794018587109 y2[1] (numeric) = 0.2730794018584677 absolute error = 2.431943535441405e-13 relative error = 8.905627882910311e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9619914969897024 y1[1] (numeric) = -0.9619914969897404 absolute error = 3.796962744218035e-14 relative error = 3.946981606489896e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.865999999999795 y2[1] (analytic) = 0.2721172739823636 y2[1] (numeric) = 0.2721172739821202 absolute error = 2.434163981490656e-13 relative error = 8.945275490479953e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9622640953503395 y1[1] (numeric) = -0.9622640953503773 absolute error = 3.774758283725532e-14 relative error = 3.922788246974158e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.866999999999795 y2[1] (analytic) = 0.2711548739887651 y2[1] (numeric) = 0.2711548739885214 absolute error = 2.436939539052219e-13 relative error = 8.987260686869267e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9625357314469614 y1[1] (numeric) = -0.9625357314469989 absolute error = 3.752553823233029e-14 relative error = 3.898612488485895e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.867999999999795 y2[1] (analytic) = 0.2701922028403151 y2[1] (numeric) = 0.2701922028400712 absolute error = 2.439715096613781e-13 relative error = 9.029554039557776e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.962806405007932 y1[1] (numeric) = -0.9628064050079693 absolute error = 3.730349362740526e-14 relative error = 3.874454244734479e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.868999999999795 y2[1] (analytic) = 0.2692292614996849 y2[1] (numeric) = 0.2692292614994407 absolute error = 2.442490654175344e-13 relative error = 9.072158949476608e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9630761157625779 y1[1] (numeric) = -0.963076115762615 absolute error = 3.708144902248023e-14 relative error = 3.850313429600379e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.869999999999795 y2[1] (analytic) = 0.2682660509298156 y2[1] (numeric) = 0.2682660509295711 absolute error = 2.445266211736907e-13 relative error = 9.115078867644881e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9633448634411882 y1[1] (numeric) = -0.9633448634412252 absolute error = 3.697042672001771e-14 relative error = 3.837714625679814e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.870999999999795 y2[1] (analytic) = 0.2673025720939177 y2[1] (numeric) = 0.2673025720936729 absolute error = 2.447486657786158e-13 relative error = 9.156240580155079e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9636126477750154 y1[1] (numeric) = -0.9636126477750522 absolute error = 3.674838211509268e-14 relative error = 3.813605207439401e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.871999999999795 y2[1] (analytic) = 0.2663388259554699 y2[1] (numeric) = 0.266338825955225 absolute error = 2.449707103835408e-13 relative error = 9.197709327760507e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9638794684962751 y1[1] (numeric) = -0.9638794684963117 absolute error = 3.652633751016765e-14 relative error = 3.789512973769583e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.872999999999795 y2[1] (analytic) = 0.2653748134782185 y2[1] (numeric) = 0.2653748134779732 absolute error = 2.452482661396971e-13 relative error = 9.241580349139903e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9641453253381467 y1[1] (numeric) = -0.964145325338183 absolute error = 3.630429290524262e-14 relative error = 3.765437839208515e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.873999999999794 y2[1] (analytic) = 0.2644105356261756 y2[1] (numeric) = 0.2644105356259301 absolute error = 2.455258218958534e-13 relative error = 9.285780587917968e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9644102180347732 y1[1] (numeric) = -0.9644102180348093 absolute error = 3.608224830031759e-14 relative error = 3.741379718460904e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.874999999999794 y2[1] (analytic) = 0.2634459933636192 y2[1] (numeric) = 0.2634459933633734 absolute error = 2.458033776520097e-13 relative error = 9.330313758567646e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9646741463212621 y1[1] (numeric) = -0.964674146321298 absolute error = 3.586020369539256e-14 relative error = 3.717338526397095e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.875999999999794 y2[1] (analytic) = 0.2624811876550913 y2[1] (numeric) = 0.2624811876548453 absolute error = 2.460254222569347e-13 relative error = 9.373068769416724e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9649371099336851 y1[1] (numeric) = -0.9649371099337207 absolute error = 3.563815909046752e-14 relative error = 3.693314178052158e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.876999999999794 y2[1] (analytic) = 0.2615161194653977 y2[1] (numeric) = 0.2615161194651514 absolute error = 2.46302978013091e-13 relative error = 9.418271367615654e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9651991086090785 y1[1] (numeric) = -0.965199108609114 absolute error = 3.541611448554249e-14 relative error = 3.66930658862498e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.877999999999794 y2[1] (analytic) = 0.2605507897596064 y2[1] (numeric) = 0.2605507897593599 absolute error = 2.465805337692473e-13 relative error = 9.463818321055614e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9654601420854438 y1[1] (numeric) = -0.965460142085479 absolute error = 3.519406988061746e-14 relative error = 3.645315673477359e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.878999999999794 y2[1] (analytic) = 0.2595851995030471 y2[1] (numeric) = 0.2595851995028002 absolute error = 2.468580895254036e-13 relative error = 9.509713573731921e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9657202101017475 y1[1] (numeric) = -0.9657202101017824 absolute error = 3.497202527569243e-14 relative error = 3.6213413481331e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.879999999999794 y2[1] (analytic) = 0.2586193496613098 y2[1] (numeric) = 0.2586193496610628 absolute error = 2.470801341303286e-13 relative error = 9.553814687644482e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9659793123979215 y1[1] (numeric) = -0.9659793123979562 absolute error = 3.47499806707674e-14 relative error = 3.597383528277119e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.880999999999794 y2[1] (analytic) = 0.2576532412002445 y2[1] (numeric) = 0.2576532411999972 absolute error = 2.473576898864849e-13 relative error = 9.600410564765297e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9662374487148636 y1[1] (numeric) = -0.9662374487148981 absolute error = 3.452793606584237e-14 relative error = 3.573442129754541e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.881999999999794 y2[1] (analytic) = 0.2566868750859595 y2[1] (numeric) = 0.2566868750857119 absolute error = 2.476352456426412e-13 relative error = 9.647366876849971e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9664946187944374 y1[1] (numeric) = -0.9664946187944718 absolute error = 3.441691376337985e-14 relative error = 3.561004178824088e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.882999999999794 y2[1] (analytic) = 0.2557202522848207 y2[1] (numeric) = 0.2557202522845728 absolute error = 2.478572902475662e-13 relative error = 9.692517038951738e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9667508223794732 y1[1] (numeric) = -0.9667508223795073 absolute error = 3.408384685599231e-14 relative error = 3.52560826088582e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.883999999999793 y2[1] (analytic) = 0.254753373763451 y2[1] (numeric) = 0.2547533737632028 absolute error = 2.481903571549537e-13 relative error = 9.742377637181312e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.967006059213767 y1[1] (numeric) = -0.9670060592138009 absolute error = 3.386180225106727e-14 relative error = 3.501715623022974e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.884999999999793 y2[1] (analytic) = 0.2537862404887287 y2[1] (numeric) = 0.2537862404884803 absolute error = 2.484124017598788e-13 relative error = 9.788253345866928e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9672603290420823 y1[1] (numeric) = -0.9672603290421159 absolute error = 3.363975764614224e-14 relative error = 3.477839071458361e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.885999999999793 y2[1] (analytic) = 0.2528188534277871 y2[1] (numeric) = 0.2528188534275385 absolute error = 2.486899575160351e-13 relative error = 9.836685600944258e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.967513631610149 y1[1] (numeric) = -0.9675136316101824 absolute error = 3.341771304121721e-14 relative error = 3.453978522824842e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.886999999999793 y2[1] (analytic) = 0.2518512135480132 y2[1] (numeric) = 0.2518512135477642 absolute error = 2.489675132721914e-13 relative error = 9.885499845913107e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9677659666646647 y1[1] (numeric) = -0.9677659666646981 absolute error = 3.33066907387547e-14 relative error = 3.441605913622256e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.887999999999793 y2[1] (analytic) = 0.2508833218170466 y2[1] (numeric) = 0.2508833218167975 absolute error = 2.491895578771164e-13 relative error = 9.932487981757297e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9680173339532946 y1[1] (numeric) = -0.9680173339533276 absolute error = 3.297362383136715e-14 relative error = 3.406305101656173e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.888999999999793 y2[1] (analytic) = 0.2499151792027793 y2[1] (numeric) = 0.2499151792025298 absolute error = 2.494948692088883e-13 relative error = 9.983181894143776e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9682677332246711 y1[1] (numeric) = -0.9682677332247038 absolute error = 3.275157922644212e-14 relative error = 3.382492063157767e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.889999999999793 y2[1] (analytic) = 0.2489467866733534 y2[1] (numeric) = 0.2489467866731037 absolute error = 2.49744669389429e-13 relative error = 1.003205033199012e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.968517164228395 y1[1] (numeric) = -0.9685171642284276 absolute error = 3.26405569239796e-14 relative error = 3.370157817490401e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.890999999999793 y2[1] (analytic) = 0.2479781451971617 y2[1] (numeric) = 0.2479781451969117 absolute error = 2.500222251455853e-13 relative error = 1.008242984262981e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9687656267150354 y1[1] (numeric) = -0.9687656267150678 absolute error = 3.241851231905457e-14 relative error = 3.346373098412022e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.891999999999793 y2[1] (analytic) = 0.2470092557428454 y2[1] (numeric) = 0.2470092557425952 absolute error = 2.502720253261259e-13 relative error = 1.013209098474744e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9690131204361299 y1[1] (numeric) = -0.9690131204361621 absolute error = 3.219646771412954e-14 relative error = 3.322603898246359e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.892999999999792 y2[1] (analytic) = 0.246040119279294 y2[1] (numeric) = 0.2460401192790435 absolute error = 2.505218255066666e-13 relative error = 1.018215347320187e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9692596451441846 y1[1] (numeric) = -0.9692596451442166 absolute error = 3.197442310920451e-14 relative error = 3.298850134676563e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.893999999999792 y2[1] (analytic) = 0.2450707367756438 y2[1] (numeric) = 0.245070736775393 absolute error = 2.507716256872072e-13 relative error = 1.023262218029656e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9695052005926751 y1[1] (numeric) = -0.9695052005927067 absolute error = 3.164135620181696e-14 relative error = 3.263660285934935e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.894999999999792 y2[1] (analytic) = 0.2441011092012773 y2[1] (numeric) = 0.2441011092010262 absolute error = 2.510214258677479e-13 relative error = 1.028350205736937e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9697497865360456 y1[1] (numeric) = -0.9697497865360771 absolute error = 3.153033389935445e-14 relative error = 3.251388588800939e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.895999999999792 y2[1] (analytic) = 0.2431312375258219 y2[1] (numeric) = 0.2431312375255706 absolute error = 2.512989816239042e-13 relative error = 1.03359397246195e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9699934027297106 y1[1] (numeric) = -0.9699934027297418 absolute error = 3.11972669919669e-14 relative error = 3.21623496656503e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.896999999999792 y2[1] (analytic) = 0.2421611227191492 y2[1] (numeric) = 0.2421611227188976 absolute error = 2.515487818044448e-13 relative error = 1.038766169316877e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9702360489300536 y1[1] (numeric) = -0.9702360489300845 absolute error = 3.097522238704187e-14 relative error = 3.19254499162347e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.897999999999792 y2[1] (analytic) = 0.241190765751374 y2[1] (numeric) = 0.2411907657511221 absolute error = 2.518263375606011e-13 relative error = 1.044096098688084e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9704777248944284 y1[1] (numeric) = -0.9704777248944592 absolute error = 3.075317778211684e-14 relative error = 3.168870031041904e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.898999999999792 y2[1] (analytic) = 0.2402201675928531 y2[1] (numeric) = 0.240220167592601 absolute error = 2.520761377411418e-13 relative error = 1.049354599437227e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9707184303811592 y1[1] (numeric) = -0.9707184303811898 absolute error = 3.05311331771918e-14 relative error = 3.1452100033996e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.899999999999792 y2[1] (analytic) = 0.2392493292141847 y2[1] (numeric) = 0.2392493292139323 absolute error = 2.523536934972981e-13 relative error = 1.054772836045789e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9709581651495407 y1[1] (numeric) = -0.9709581651495709 absolute error = 3.019806626980426e-14 relative error = 3.110130524022458e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.900999999999792 y2[1] (analytic) = 0.2382782515862069 y2[1] (numeric) = 0.2382782515859543 absolute error = 2.526034936778387e-13 relative error = 1.060119805295991e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9711969289598378 y1[1] (numeric) = -0.9711969289598679 absolute error = 3.008704396734174e-14 relative error = 3.097934421967879e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.901999999999791 y2[1] (analytic) = 0.2373069356799975 y2[1] (numeric) = 0.2373069356797446 absolute error = 2.52881049433995e-13 relative error = 1.065628565424649e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9714347215732869 y1[1] (numeric) = -0.9714347215733168 absolute error = 2.986499936241671e-14 relative error = 3.074318706052513e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.902999999999791 y2[1] (analytic) = 0.2363353824668721 y2[1] (numeric) = 0.236335382466619 absolute error = 2.531586051901513e-13 relative error = 1.071183682052506e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9716715427520954 y1[1] (numeric) = -0.9716715427521251 absolute error = 2.964295475749168e-14 relative error = 3.050717598822851e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.903999999999791 y2[1] (analytic) = 0.235363592918384 y2[1] (numeric) = 0.2353635929181306 absolute error = 2.53408405370692e-13 relative error = 1.076667815223934e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9719073922594422 y1[1] (numeric) = -0.9719073922594715 absolute error = 2.930988785010413e-14 relative error = 3.015707883645782e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.904999999999791 y2[1] (analytic) = 0.2343915680063226 y2[1] (numeric) = 0.2343915680060689 absolute error = 2.536859611268483e-13 relative error = 1.082316924984286e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9721422698594776 y1[1] (numeric) = -0.9721422698595068 absolute error = 2.919886554764162e-14 relative error = 3.003558887719417e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.905999999999791 y2[1] (analytic) = 0.2334193087027127 y2[1] (numeric) = 0.2334193087024587 absolute error = 2.539357613073889e-13 relative error = 1.087895267613899e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9723761753173242 y1[1] (numeric) = -0.9723761753173532 absolute error = 2.897682094271659e-14 relative error = 2.980001122843257e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.906999999999791 y2[1] (analytic) = 0.2324468159798135 y2[1] (numeric) = 0.2324468159795593 absolute error = 2.542133170635452e-13 relative error = 1.093640779685371e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9726091083990765 y1[1] (numeric) = -0.9726091083991053 absolute error = 2.875477633779155e-14 relative error = 2.956457644646386e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.907999999999791 y2[1] (analytic) = 0.2314740908101177 y2[1] (numeric) = 0.2314740908098633 absolute error = 2.544631172440859e-13 relative error = 1.099315765118725e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9728410688718016 y1[1] (numeric) = -0.9728410688718301 absolute error = 2.853273173286652e-14 relative error = 2.932928372972142e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.908999999999791 y2[1] (analytic) = 0.2305011341663505 y2[1] (numeric) = 0.2305011341660957 absolute error = 2.547129174246265e-13 relative error = 1.105039757595304e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9730720565035388 y1[1] (numeric) = -0.973072056503567 absolute error = 2.819966482547898e-14 relative error = 2.898003764161778e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.909999999999791 y2[1] (analytic) = 0.2295279470214682 y2[1] (numeric) = 0.2295279470212132 absolute error = 2.549904731807828e-13 relative error = 1.11093431754057e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9733020710633005 y1[1] (numeric) = -0.9733020710633286 absolute error = 2.808864252301646e-14 relative error = 2.88591212924581e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91099999999979 y2[1] (analytic) = 0.2285545303486581 y2[1] (numeric) = 0.2285545303484028 absolute error = 2.552402733613235e-13 relative error = 1.116758757623209e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9735311123210724 y1[1] (numeric) = -0.9735311123211001 absolute error = 2.775557561562891e-14 relative error = 2.851020913903271e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91199999999979 y2[1] (analytic) = 0.2275808851213366 y2[1] (numeric) = 0.2275808851210811 absolute error = 2.555178291174798e-13 relative error = 1.122756109245503e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9737591800478129 y1[1] (numeric) = -0.9737591800478405 absolute error = 2.753353101070388e-14 relative error = 2.827550340460148e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91299999999979 y2[1] (analytic) = 0.2266070123131491 y2[1] (numeric) = 0.2266070123128933 absolute error = 2.557953848736361e-13 relative error = 1.128806131207235e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9739862740154547 y1[1] (numeric) = -0.973986274015482 absolute error = 2.731148640577885e-14 relative error = 2.80409356213838e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91399999999979 y2[1] (analytic) = 0.225632912897968 y2[1] (numeric) = 0.225632912897712 absolute error = 2.560451850541767e-13 relative error = 1.134786506833607e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9742123939969035 y1[1] (numeric) = -0.9742123939969306 absolute error = 2.708944180085382e-14 relative error = 2.780650499601417e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91499999999979 y2[1] (analytic) = 0.2246585878498929 y2[1] (numeric) = 0.2246585878496366 absolute error = 2.562949852347174e-13 relative error = 1.140819888915008e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9744375397660395 y1[1] (numeric) = -0.9744375397660664 absolute error = 2.686739719592879e-14 relative error = 2.757221073644145e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91599999999979 y2[1] (analytic) = 0.2236840381432487 y2[1] (numeric) = 0.2236840381429921 absolute error = 2.565725409908737e-13 relative error = 1.147031067217067e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.974661711097717 y1[1] (numeric) = -0.9746617110977437 absolute error = 2.664535259100376e-14 relative error = 2.733805205192098e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91699999999979 y2[1] (analytic) = 0.2227092647525849 y2[1] (numeric) = 0.2227092647523281 absolute error = 2.568223411714143e-13 relative error = 1.153173135642681e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9748849077677647 y1[1] (numeric) = -0.974884907767791 absolute error = 2.631228568361621e-14 relative error = 2.699014568177547e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91799999999979 y2[1] (analytic) = 0.221734268652675 y2[1] (numeric) = 0.2217342686524179 absolute error = 2.57072141351955e-13 relative error = 1.159370371183506e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9751071295529857 y1[1] (numeric) = -0.9751071295530119 absolute error = 2.620126338115369e-14 relative error = 2.687013825154271e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91899999999979 y2[1] (analytic) = 0.2207590508185149 y2[1] (numeric) = 0.2207590508182575 absolute error = 2.573496971081113e-13 relative error = 1.165749246311434e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9753283762311585 y1[1] (numeric) = -0.9753283762311845 absolute error = 2.597921877622866e-14 relative error = 2.663638156065649e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.919999999999789 y2[1] (analytic) = 0.2197836122253223 y2[1] (numeric) = 0.2197836122250647 absolute error = 2.575994972886519e-13 relative error = 1.172059621190322e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9755486475810364 y1[1] (numeric) = -0.9755486475810621 absolute error = 2.564615186884112e-14 relative error = 2.628895230641049e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.920999999999789 y2[1] (analytic) = 0.2188079538485359 y2[1] (numeric) = 0.218807953848278 absolute error = 2.578492974691926e-13 relative error = 1.1784274425768e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.975767943382348 y1[1] (numeric) = -0.9757679433823734 absolute error = 2.542410726391608e-14 relative error = 2.605548525788557e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.921999999999789 y2[1] (analytic) = 0.2178320766638138 y2[1] (numeric) = 0.2178320766635557 absolute error = 2.581268532253489e-13 relative error = 1.184980913640754e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9759862634157974 y1[1] (numeric) = -0.9759862634158226 absolute error = 2.520206265899105e-14 relative error = 2.582214894171545e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.922999999999789 y2[1] (analytic) = 0.2168559816470332 y2[1] (numeric) = 0.2168559816467748 absolute error = 2.583766534058896e-13 relative error = 1.191466573545745e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9762036074630649 y1[1] (numeric) = -0.9762036074630898 absolute error = 2.486899575160351e-14 relative error = 2.547521394254265e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.923999999999789 y2[1] (analytic) = 0.215879669774289 y2[1] (numeric) = 0.2158796697740304 absolute error = 2.586264535864302e-13 relative error = 1.198012086348078e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9764199753068061 y1[1] (numeric) = -0.9764199753068308 absolute error = 2.464695114667848e-14 relative error = 2.524216194873935e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.924999999999789 y2[1] (analytic) = 0.2149031420218931 y2[1] (numeric) = 0.2149031420216342 absolute error = 2.589040093425865e-13 relative error = 1.204747436015667e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9766353667306535 y1[1] (numeric) = -0.9766353667306779 absolute error = 2.431388423929093e-14 relative error = 2.489555986558539e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.925999999999789 y2[1] (analytic) = 0.2139263993663731 y2[1] (numeric) = 0.2139263993661139 absolute error = 2.591538095231272e-13 relative error = 1.211415749952848e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9768497815192155 y1[1] (numeric) = -0.9768497815192396 absolute error = 2.40918396343659e-14 relative error = 2.466278857829891e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.926999999999789 y2[1] (analytic) = 0.2129494427844715 y2[1] (numeric) = 0.212949442784212 absolute error = 2.594313652792835e-13 relative error = 1.218276797943335e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9770632194580774 y1[1] (numeric) = -0.9770632194581013 absolute error = 2.386979502944087e-14 relative error = 2.443014387818233e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.927999999999789 y2[1] (analytic) = 0.2119722732531449 y2[1] (numeric) = 0.2119722732528851 absolute error = 2.597089210354397e-13 relative error = 1.225202320330292e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9772756803338013 y1[1] (numeric) = -0.9772756803338248 absolute error = 2.353672812205332e-14 relative error = 2.408402111675801e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.928999999999788 y2[1] (analytic) = 0.2109948917495626 y2[1] (numeric) = 0.2109948917493027 absolute error = 2.599587212159804e-13 relative error = 1.232061681969698e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9774871639339262 y1[1] (numeric) = -0.9774871639339495 absolute error = 2.331468351712829e-14 relative error = 2.38516518450203e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.929999999999788 y2[1] (analytic) = 0.2100172992511063 y2[1] (numeric) = 0.210017299250846 absolute error = 2.602362769721367e-13 relative error = 1.239118291207937e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9776976700469687 y1[1] (numeric) = -0.9776976700469918 absolute error = 2.309263891220326e-14 relative error = 2.36194067140345e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.930999999999788 y2[1] (analytic) = 0.2090394967353681 y2[1] (numeric) = 0.2090394967351076 absolute error = 2.604860771526774e-13 relative error = 1.246109377513655e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9779071984624226 y1[1] (numeric) = -0.9779071984624454 absolute error = 2.287059430727822e-14 relative error = 2.338728495223063e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.931999999999788 y2[1] (analytic) = 0.2080614851801507 y2[1] (numeric) = 0.2080614851798899 absolute error = 2.60735877333218e-13 relative error = 1.253167433210712e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9781157489707596 y1[1] (numeric) = -0.9781157489707821 absolute error = 2.253752739989068e-14 relative error = 2.304177948632992e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.932999999999788 y2[1] (analytic) = 0.2070832655634654 y2[1] (numeric) = 0.2070832655632044 absolute error = 2.609856775137587e-13 relative error = 1.260293422569067e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.978323321363429 y1[1] (numeric) = -0.9783233213634513 absolute error = 2.231548279496565e-14 relative error = 2.280992623570082e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.933999999999788 y2[1] (analytic) = 0.2061048388635318 y2[1] (numeric) = 0.2061048388632705 absolute error = 2.61263233269915e-13 relative error = 1.267622995707079e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9785299154328587 y1[1] (numeric) = -0.9785299154328807 absolute error = 2.19824158875781e-14 relative error = 2.246473566202015e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.934999999999788 y2[1] (analytic) = 0.2051262060587765 y2[1] (numeric) = 0.205126206058515 absolute error = 2.615407890260713e-13 relative error = 1.275023772199686e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9787355309724545 y1[1] (numeric) = -0.9787355309724762 absolute error = 2.176037128265307e-14 relative error = 2.223314735598936e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.935999999999788 y2[1] (analytic) = 0.2041473681278323 y2[1] (numeric) = 0.2041473681275705 absolute error = 2.617905892066119e-13 relative error = 1.28236083378104e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9789401677766008 y1[1] (numeric) = -0.9789401677766223 absolute error = 2.153832667772804e-14 relative error = 2.200167833203387e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.936999999999788 y2[1] (analytic) = 0.2031683260495369 y2[1] (numeric) = 0.2031683260492748 absolute error = 2.620403893871526e-13 relative error = 1.289769889245735e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9791438256406609 y1[1] (numeric) = -0.9791438256406823 absolute error = 2.131628207280301e-14 relative error = 2.177032782579782e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.937999999999787 y2[1] (analytic) = 0.2021890808029324 y2[1] (numeric) = 0.2021890808026701 absolute error = 2.623179451433089e-13 relative error = 1.297389275927231e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.979346504360977 y1[1] (numeric) = -0.9793465043609981 absolute error = 2.109423746787797e-14 relative error = 2.153909507405854e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.938999999999787 y2[1] (analytic) = 0.201209633367264 y2[1] (numeric) = 0.2012096333670014 absolute error = 2.625677453238495e-13 relative error = 1.304946194323558e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9795482037348704 y1[1] (numeric) = -0.9795482037348913 absolute error = 2.087219286295294e-14 relative error = 2.130797931471917e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.939999999999787 y2[1] (analytic) = 0.2002299847219789 y2[1] (numeric) = 0.2002299847217161 absolute error = 2.628175455043902e-13 relative error = 1.312578362672877e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9797489235606417 y1[1] (numeric) = -0.9797489235606622 absolute error = 2.05391259555654e-14 relative error = 2.096366269117327e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.940999999999787 y2[1] (analytic) = 0.1992501358467259 y2[1] (numeric) = 0.1992501358464628 absolute error = 2.630673456849308e-13 relative error = 1.320286907544679e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.979948663637571 y1[1] (numeric) = -0.9799486636375914 absolute error = 2.031708135064036e-14 relative error = 2.073280173190229e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.941999999999787 y2[1] (analytic) = 0.1982700877213535 y2[1] (numeric) = 0.1982700877210902 absolute error = 2.633449014410871e-13 relative error = 1.328212966805104e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9801474237659183 y1[1] (numeric) = -0.9801474237659384 absolute error = 2.009503674571533e-14 relative error = 2.050205536275989e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.942999999999787 y2[1] (analytic) = 0.19728984132591 y2[1] (numeric) = 0.1972898413256464 absolute error = 2.636224571972434e-13 relative error = 1.336219115112755e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9803452037469237 y1[1] (numeric) = -0.9803452037469434 absolute error = 1.976196983832779e-14 relative error = 2.015817465398581e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.943999999999787 y2[1] (analytic) = 0.1963093976406416 y2[1] (numeric) = 0.1963093976403778 absolute error = 2.638722573777841e-13 relative error = 1.344165182865168e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9805420033828068 y1[1] (numeric) = -0.9805420033828264 absolute error = 1.953992523340276e-14 relative error = 1.992767792301734e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.944999999999787 y2[1] (analytic) = 0.1953287576459919 y2[1] (numeric) = 0.1953287576457278 absolute error = 2.641220575583247e-13 relative error = 1.352192379357738e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9807378224767684 y1[1] (numeric) = -0.9807378224767876 absolute error = 1.920685832601521e-14 relative error = 1.958409055491502e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.945999999999787 y2[1] (analytic) = 0.1943479223226009 y2[1] (numeric) = 0.1943479223223365 absolute error = 2.643718577388654e-13 relative error = 1.360301950128547e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9809326608329892 y1[1] (numeric) = -0.9809326608330082 absolute error = 1.898481372109018e-14 relative error = 1.935383995163199e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.946999999999786 y2[1] (analytic) = 0.1933668926513037 y2[1] (numeric) = 0.1933668926510391 absolute error = 2.646216579194061e-13 relative error = 1.368495166318855e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.981126518256631 y1[1] (numeric) = -0.9811265182566496 absolute error = 1.865174681370263e-14 relative error = 1.901054192974523e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.947999999999786 y2[1] (analytic) = 0.19238566961313 y2[1] (numeric) = 0.1923856696128651 absolute error = 2.648992136755624e-13 relative error = 1.376917595828475e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9813193945538362 y1[1] (numeric) = -0.9813193945538546 absolute error = 1.84297022087776e-14 relative error = 1.878053395363371e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.948999999999786 y2[1] (analytic) = 0.1914042541893027 y2[1] (numeric) = 0.1914042541890376 absolute error = 2.651212582804874e-13 relative error = 1.385137751527075e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9815112895317286 y1[1] (numeric) = -0.9815112895317468 absolute error = 1.820765760385257e-14 relative error = 1.855063492192667e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.949999999999786 y2[1] (analytic) = 0.1904226473612372 y2[1] (numeric) = 0.1904226473609718 absolute error = 2.65371058461028e-13 relative error = 1.393589796898536e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9817022029984133 y1[1] (numeric) = -0.9817022029984313 absolute error = 1.798561299892754e-14 relative error = 1.832084408489059e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.950999999999786 y2[1] (analytic) = 0.1894408501105402 y2[1] (numeric) = 0.1894408501102745 absolute error = 2.656208586415687e-13 relative error = 1.402130841825176e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9818921347629769 y1[1] (numeric) = -0.9818921347629945 absolute error = 1.765254609153999e-14 relative error = 1.797809093949124e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.951999999999786 y2[1] (analytic) = 0.1884588634190088 y2[1] (numeric) = 0.1884588634187429 absolute error = 2.658706588221094e-13 relative error = 1.410762295806632e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9820810846354874 y1[1] (numeric) = -0.9820810846355048 absolute error = 1.743050148661496e-14 relative error = 1.774853600106199e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.952999999999786 y2[1] (analytic) = 0.1874766882686298 y2[1] (numeric) = 0.1874766882683636 absolute error = 2.661482145782657e-13 relative error = 1.419633646381196e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9822690524269951 y1[1] (numeric) = -0.9822690524270123 absolute error = 1.720845688168993e-14 relative error = 1.751908689291512e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.953999999999786 y2[1] (analytic) = 0.186494325641578 y2[1] (numeric) = 0.1864943256413116 absolute error = 2.663980147588063e-13 relative error = 1.428451047195905e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9824560379495324 y1[1] (numeric) = -0.9824560379495493 absolute error = 1.687538997430238e-14 relative error = 1.717673801417387e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.954999999999786 y2[1] (analytic) = 0.1855117765202162 y2[1] (numeric) = 0.1855117765199496 absolute error = 2.66647814939347e-13 relative error = 1.437363276558828e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9826420410161135 y1[1] (numeric) = -0.9826420410161302 absolute error = 1.665334536937735e-14 relative error = 1.69475197215832e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.955999999999785 y2[1] (analytic) = 0.1845290418870933 y2[1] (numeric) = 0.1845290418868265 absolute error = 2.668976151198876e-13 relative error = 1.446371868571196e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9828270614407355 y1[1] (numeric) = -0.9828270614407519 absolute error = 1.643130076445232e-14 relative error = 1.671840490468945e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.956999999999785 y2[1] (analytic) = 0.183546122724944 y2[1] (numeric) = 0.1835461227246768 absolute error = 2.671474153004283e-13 relative error = 1.455478390577427e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.983011099038378 y1[1] (numeric) = -0.9830110990383941 absolute error = 1.609823385706477e-14 relative error = 1.637645177436219e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.957999999999785 y2[1] (analytic) = 0.1825630200166872 y2[1] (numeric) = 0.1825630200164197 absolute error = 2.674249710565846e-13 relative error = 1.46483647691707e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9831941536250034 y1[1] (numeric) = -0.9831941536250192 absolute error = 1.576516694967722e-14 relative error = 1.603464269142731e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.958999999999785 y2[1] (analytic) = 0.1815797347454255 y2[1] (numeric) = 0.1815797347451579 absolute error = 2.676747712371252e-13 relative error = 1.474144521757369e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9833762250175569 y1[1] (numeric) = -0.9833762250175726 absolute error = 1.565414464721471e-14 relative error = 1.59187747771055e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.959999999999785 y2[1] (analytic) = 0.1805962678944443 y2[1] (numeric) = 0.1805962678941764 absolute error = 2.679523269932815e-13 relative error = 1.483709104940615e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9835573130339675 y1[1] (numeric) = -0.983557313033983 absolute error = 1.543210004228968e-14 relative error = 1.569008723516727e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.960999999999785 y2[1] (analytic) = 0.1796126204472103 y2[1] (numeric) = 0.179612620446942 absolute error = 2.682298827494378e-13 relative error = 1.493379931107196e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9837374174931471 y1[1] (numeric) = -0.9837374174931622 absolute error = 1.509903313490213e-14 relative error = 1.534864168670021e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.961999999999785 y2[1] (analytic) = 0.1786287933873707 y2[1] (numeric) = 0.1786287933871022 absolute error = 2.684796829299785e-13 relative error = 1.503003395134395e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9839165382149911 y1[1] (numeric) = -0.983916538215006 absolute error = 1.48769885299771e-14 relative error = 1.512017325876719e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.962999999999785 y2[1] (analytic) = 0.1776447876987527 y2[1] (numeric) = 0.1776447876984839 absolute error = 2.687572386861348e-13 relative error = 1.512891214922045e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9840946750203788 y1[1] (numeric) = -0.9840946750203935 absolute error = 1.465494392505207e-14 relative error = 1.48918028895427e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.963999999999785 y2[1] (analytic) = 0.1766606043653617 y2[1] (numeric) = 0.1766606043650927 absolute error = 2.690070388666754e-13 relative error = 1.522733604546755e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9842718277311736 y1[1] (numeric) = -0.984271827731188 absolute error = 1.443289932012704e-14 relative error = 1.466352984357587e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.964999999999784 y2[1] (analytic) = 0.1756762443713811 y2[1] (numeric) = 0.1756762443711118 absolute error = 2.692845946228317e-13 relative error = 1.532845807276946e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9844479961702227 y1[1] (numeric) = -0.9844479961702368 absolute error = 1.409983241273949e-14 relative error = 1.432257718801985e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.965999999999784 y2[1] (analytic) = 0.1746917087011708 y2[1] (numeric) = 0.1746917087009013 absolute error = 2.695343948033724e-13 relative error = 1.542914639780875e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9846231801613576 y1[1] (numeric) = -0.9846231801613715 absolute error = 1.387778780781446e-14 relative error = 1.409451665107072e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.966999999999784 y2[1] (analytic) = 0.1737069983392663 y2[1] (numeric) = 0.1737069983389965 absolute error = 2.698119505595287e-13 relative error = 1.553258954095564e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9847973795293944 y1[1] (numeric) = -0.984797379529408 absolute error = 1.365574320288943e-14 relative error = 1.386655111675368e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.967999999999784 y2[1] (analytic) = 0.172722114270378 y2[1] (numeric) = 0.1727221142701079 absolute error = 2.700617507400693e-13 relative error = 1.563562094413206e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9849705941001338 y1[1] (numeric) = -0.9849705941001472 absolute error = 1.343369859796439e-14 relative error = 1.363867985341977e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.968999999999784 y2[1] (analytic) = 0.1717370574793898 y2[1] (numeric) = 0.1717370574791195 absolute error = 2.7031155092061e-13 relative error = 1.5739849912885e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9851428237003611 y1[1] (numeric) = -0.9851428237003743 absolute error = 1.321165399303936e-14 relative error = 1.341090213032683e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.969999999999784 y2[1] (analytic) = 0.1707518289513584 y2[1] (numeric) = 0.1707518289510879 absolute error = 2.705613511011506e-13 relative error = 1.584529739814527e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9853140681578468 y1[1] (numeric) = -0.9853140681578598 absolute error = 1.298960938811433e-14 relative error = 1.318321721763279e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.970999999999784 y2[1] (analytic) = 0.1697664296715123 y2[1] (numeric) = 0.1697664296712415 absolute error = 2.708111512816913e-13 relative error = 1.595198484209713e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9854843273013465 y1[1] (numeric) = -0.9854843273013593 absolute error = 1.27675647831893e-14 relative error = 1.295562438638881e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.971999999999784 y2[1] (analytic) = 0.1687808606252507 y2[1] (numeric) = 0.1687808606249796 absolute error = 2.710887070378476e-13 relative error = 1.606157866677514e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9856536009606011 y1[1] (numeric) = -0.9856536009606135 absolute error = 1.243449787580175e-14 relative error = 1.261548465270487e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.972999999999784 y2[1] (analytic) = 0.1677951227981425 y2[1] (numeric) = 0.1677951227978712 absolute error = 2.713385072183883e-13 relative error = 1.617082205332085e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9858218889663367 y1[1] (numeric) = -0.9858218889663489 absolute error = 1.221245327087672e-14 relative error = 1.238809302934208e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.973999999999783 y2[1] (analytic) = 0.1668092171759255 y2[1] (numeric) = 0.1668092171756539 absolute error = 2.716160629745445e-13 relative error = 1.628303684730349e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9859891911502655 y1[1] (numeric) = -0.9859891911502775 absolute error = 1.199040866595169e-14 relative error = 1.216079118673051e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.974999999999783 y2[1] (analytic) = 0.1658231447445053 y2[1] (numeric) = 0.1658231447442334 absolute error = 2.718658631550852e-13 relative error = 1.639492867982735e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9861555073450854 y1[1] (numeric) = -0.9861555073450972 absolute error = 1.176836406102666e-14 relative error = 1.193357839952574e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.975999999999783 y2[1] (analytic) = 0.1648369064899541 y2[1] (numeric) = 0.1648369064896819 absolute error = 2.721156633356259e-13 relative error = 1.650817581633091e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9863208373844802 y1[1] (numeric) = -0.9863208373844916 absolute error = 1.143529715363911e-14 relative error = 1.159389188609577e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.976999999999783 y2[1] (analytic) = 0.1638505033985101 y2[1] (numeric) = 0.1638505033982377 absolute error = 2.723932190917822e-13 relative error = 1.662449693116164e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9864851811031197 y1[1] (numeric) = -0.9864851811031309 absolute error = 1.121325254871408e-14 relative error = 1.136687378940154e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.977999999999783 y2[1] (analytic) = 0.1628639364565764 y2[1] (numeric) = 0.1628639364563038 absolute error = 2.726152636967072e-13 relative error = 1.673883547383083e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9866485383366603 y1[1] (numeric) = -0.9866485383366712 absolute error = 1.088018564132653e-14 relative error = 1.10274177871574e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.978999999999783 y2[1] (analytic) = 0.1618772066507198 y2[1] (numeric) = 0.1618772066504469 absolute error = 2.728928194528635e-13 relative error = 1.685801386736803e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9868109089217448 y1[1] (numeric) = -0.9868109089217555 absolute error = 1.06581410364015e-14 relative error = 1.080059101499729e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.979999999999783 y2[1] (analytic) = 0.1608903149676701 y2[1] (numeric) = 0.1608903149673969 absolute error = 2.731426196334041e-13 relative error = 1.697694604478153e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9869722926960026 y1[1] (numeric) = -0.9869722926960131 absolute error = 1.043609643147647e-14 relative error = 1.057384944715048e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.980999999999783 y2[1] (analytic) = 0.1599032623943188 y2[1] (numeric) = 0.1599032623940454 absolute error = 2.733924198139448e-13 relative error = 1.709736347590981e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.98713268949805 y1[1] (numeric) = -0.9871326894980602 absolute error = 1.021405182655144e-14 relative error = 1.034719236351621e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.981999999999783 y2[1] (analytic) = 0.1589160499177184 y2[1] (numeric) = 0.1589160499174448 absolute error = 2.736699755701011e-13 relative error = 1.722104065082152e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9872920991674902 y1[1] (numeric) = -0.9872920991675 absolute error = 9.880984919163893e-15 relative error = 1.000816772209136e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.982999999999782 y2[1] (analytic) = 0.1579286785250814 y2[1] (numeric) = 0.1579286785248075 absolute error = 2.739197757506417e-13 relative error = 1.734452401608231e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9874505215449134 y1[1] (numeric) = -0.9874505215449231 absolute error = 9.658940314238862e-15 relative error = 9.781695491058113e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.983999999999782 y2[1] (analytic) = 0.156941149203779 y2[1] (numeric) = 0.1569411492035048 absolute error = 2.741695759311824e-13 relative error = 1.746957871292182e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9876079564718974 y1[1] (numeric) = -0.9876079564719068 absolute error = 9.436895709313831e-15 relative error = 9.555305470630197e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.984999999999782 y2[1] (analytic) = 0.1559534629413404 y2[1] (numeric) = 0.155953462941066 absolute error = 2.744193761117231e-13 relative error = 1.759623485981468e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9877644037910073 y1[1] (numeric) = -0.9877644037910164 absolute error = 9.103828801926284e-15 relative error = 9.216599390488348e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.985999999999782 y2[1] (analytic) = 0.154965620725452 y2[1] (numeric) = 0.1549656207251773 absolute error = 2.746969318678794e-13 relative error = 1.77263144290921e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9879198633457955 y1[1] (numeric) = -0.9879198633458045 absolute error = 8.992806499463768e-15 relative error = 9.102769195274366e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.986999999999782 y2[1] (analytic) = 0.1539776235439557 y2[1] (numeric) = 0.1539776235436807 absolute error = 2.7494673204842e-13 relative error = 1.785627844619459e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9880743349808029 y1[1] (numeric) = -0.9880743349808115 absolute error = 8.659739592076221e-15 relative error = 8.764259211574876e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.987999999999782 y2[1] (analytic) = 0.1529894723848487 y2[1] (numeric) = 0.1529894723845735 absolute error = 2.751965322289607e-13 relative error = 1.798793916595106e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9882278185415576 y1[1] (numeric) = -0.9882278185415659 absolute error = 8.326672684688674e-15 relative error = 8.425863478501658e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.988999999999782 y2[1] (analytic) = 0.152001168236282 y2[1] (numeric) = 0.1520011682360066 absolute error = 2.75474087985117e-13 relative error = 1.812315597186065e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.988380313874576 y1[1] (numeric) = -0.9883803138745841 absolute error = 8.104628079763643e-15 relative error = 8.199908442118271e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.989999999999782 y2[1] (analytic) = 0.1510127120865598 y2[1] (numeric) = 0.1510127120862841 absolute error = 2.757238881656576e-13 relative error = 1.825832304816921e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.988531820827363 y1[1] (numeric) = -0.9885318208273709 absolute error = 7.882583474838611e-15 relative error = 7.974031092131352e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.990999999999782 y2[1] (analytic) = 0.1500241049241381 y2[1] (numeric) = 0.1500241049238621 absolute error = 2.759736883461983e-13 relative error = 1.839528977598289e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9886823392484115 y1[1] (numeric) = -0.9886823392484192 absolute error = 7.66053886991358e-15 relative error = 7.748230716588971e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.991999999999782 y2[1] (analytic) = 0.149035347737624 y2[1] (numeric) = 0.1490353477373478 absolute error = 2.762234885267389e-13 relative error = 1.853409226199338e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9888318689872032 y1[1] (numeric) = -0.9888318689872106 absolute error = 7.438494264988549e-15 relative error = 7.522506604289888e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.992999999999781 y2[1] (analytic) = 0.1480464415157745 y2[1] (numeric) = 0.148046441515498 absolute error = 2.765010442828952e-13 relative error = 1.867664237329431e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9889804098942083 y1[1] (numeric) = -0.9889804098942154 absolute error = 7.105427357601002e-15 relative error = 7.184598690242077e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.993999999999781 y2[1] (analytic) = 0.1470573872474959 y2[1] (numeric) = 0.1470573872472191 absolute error = 2.767508444634359e-13 relative error = 1.881924122571737e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9891279618208859 y1[1] (numeric) = -0.9891279618208928 absolute error = 6.883382752675971e-15 relative error = 6.959041719945264e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.994999999999781 y2[1] (analytic) = 0.1460681859218423 y2[1] (numeric) = 0.1460681859215653 absolute error = 2.770284002195922e-13 relative error = 1.896569047333987e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9892745246196841 y1[1] (numeric) = -0.9892745246196908 absolute error = 6.661338147750939e-15 relative error = 6.733558766523194e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.995999999999781 y2[1] (analytic) = 0.1450788385280149 y2[1] (numeric) = 0.1450788385277376 absolute error = 2.773059559757485e-13 relative error = 1.911415605399959e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9894200981440402 y1[1] (numeric) = -0.9894200981440465 absolute error = 6.328271240363392e-15 relative error = 6.395939654181272e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.996999999999781 y2[1] (analytic) = 0.1440893460553611 y2[1] (numeric) = 0.1440893460550836 absolute error = 2.775557561562891e-13 relative error = 1.926275354526548e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9895646822483806 y1[1] (numeric) = -0.9895646822483866 absolute error = 5.995204332975845e-15 relative error = 6.058425932657781e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.997999999999781 y2[1] (analytic) = 0.1430997094933733 y2[1] (numeric) = 0.1430997094930954 absolute error = 2.778055563368298e-13 relative error = 1.94134255981627e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9897082767881211 y1[1] (numeric) = -0.9897082767881269 absolute error = 5.773159728050814e-15 relative error = 5.833193339340684e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.998999999999781 y2[1] (analytic) = 0.1421099298316878 y2[1] (numeric) = 0.1421099298314098 absolute error = 2.780553565173705e-13 relative error = 1.956621587574448e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9898508816196674 y1[1] (numeric) = -0.9898508816196728 absolute error = 5.440092820663267e-15 relative error = 5.495871066722479e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.999999999999781 y2[1] (analytic) = 0.1411200080600844 y2[1] (numeric) = 0.1411200080598061 absolute error = 2.783051566979111e-13 relative error = 1.972116927455231e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9899924966004146 y1[1] (numeric) = -0.9899924966004197 absolute error = 5.10702591327572e-15 relative error = 5.158651132016653e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.000999999999781 y2[1] (analytic) = 0.1401299451684847 y2[1] (numeric) = 0.1401299451682061 absolute error = 2.785827124540674e-13 relative error = 1.988031267115066e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9901331215887476 y1[1] (numeric) = -0.9901331215887524 absolute error = 4.884981308350689e-15 relative error = 4.933661142970701e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00199999999978 y2[1] (analytic) = 0.1391397421469515 y2[1] (numeric) = 0.1391397421466727 absolute error = 2.788325126346081e-13 relative error = 2.003974625309576e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9902727564440414 y1[1] (numeric) = -0.9902727564440461 absolute error = 4.662936703425657e-15 relative error = 4.708739761931592e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00299999999978 y2[1] (analytic) = 0.1381493999856877 y2[1] (numeric) = 0.1381493999854086 absolute error = 2.790823128151487e-13 relative error = 2.020148569910992e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9904114010266615 y1[1] (numeric) = -0.9904114010266659 absolute error = 4.440892098500626e-15 relative error = 4.483886285938543e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00399999999978 y2[1] (analytic) = 0.1371589196750355 y2[1] (numeric) = 0.1371589196747562 absolute error = 2.793321129956894e-13 relative error = 2.036558130214925e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.990549055197963 y1[1] (numeric) = -0.9905490551979672 absolute error = 4.218847493575595e-15 relative error = 4.259100012701996e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00499999999978 y2[1] (analytic) = 0.136168302205475 y2[1] (numeric) = 0.1361683022051954 absolute error = 2.7958191317623e-13 relative error = 2.053208482796143e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9906857188202919 y1[1] (numeric) = -0.9906857188202958 absolute error = 3.885780586188048e-15 relative error = 3.922314122802975e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00599999999978 y2[1] (analytic) = 0.1351775485676237 y2[1] (numeric) = 0.1351775485673438 absolute error = 2.798317133567707e-13 relative error = 2.070104956939522e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9908213917569845 y1[1] (numeric) = -0.9908213917569881 absolute error = 3.663735981263017e-15 relative error = 3.697675496051067e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00699999999978 y2[1] (analytic) = 0.1341866597522351 y2[1] (numeric) = 0.134186659751955 absolute error = 2.80109269112927e-13 relative error = 2.087459883345531e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9909560738723679 y1[1] (numeric) = -0.9909560738723713 absolute error = 3.33066907387547e-15 relative error = 3.361066309286732e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00799999999978 y2[1] (analytic) = 0.1331956367501979 y2[1] (numeric) = 0.1331956367499175 absolute error = 2.803590692934677e-13 relative error = 2.104866766914204e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9910897650317601 y1[1] (numeric) = -0.9910897650317632 absolute error = 3.108624468950438e-15 relative error = 3.136572063026824e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00899999999978 y2[1] (analytic) = 0.132204480552535 y2[1] (numeric) = 0.1322044805522544 absolute error = 2.806088694740083e-13 relative error = 2.122536757462625e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9912224651014697 y1[1] (numeric) = -0.9912224651014726 absolute error = 2.886579864025407e-15 relative error = 2.912141285790887e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00999999999978 y2[1] (analytic) = 0.1312131921504026 y2[1] (numeric) = 0.1312131921501218 absolute error = 2.808309140789333e-13 relative error = 2.140264324619372e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9913541739487969 y1[1] (numeric) = -0.9913541739487995 absolute error = 2.664535259100376e-15 relative error = 2.687773279338609e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.010999999999779 y2[1] (analytic) = 0.130221772535089 y2[1] (numeric) = 0.1302217725348079 absolute error = 2.811084698350896e-13 relative error = 2.158690243287415e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9914848914420328 y1[1] (numeric) = -0.9914848914420351 absolute error = 2.331468351712829e-15 relative error = 2.351491557598927e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.011999999999779 y2[1] (analytic) = 0.1292302226980137 y2[1] (numeric) = 0.1292302226977323 absolute error = 2.813860255912459e-13 relative error = 2.177401073190063e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9916146174504599 y1[1] (numeric) = -0.9916146174504619 absolute error = 1.998401444325282e-15 relative error = 2.015300510054371e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.012999999999779 y2[1] (analytic) = 0.1282385436307265 y2[1] (numeric) = 0.1282385436304448 absolute error = 2.816358257717866e-13 relative error = 2.196187026131397e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.991743351844352 y1[1] (numeric) = -0.9917433518443538 absolute error = 1.77635683940025e-15 relative error = 1.79114569923433e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.013999999999779 y2[1] (analytic) = 0.1272467363249063 y2[1] (numeric) = 0.1272467363246244 absolute error = 2.818856259523272e-13 relative error = 2.215268022533581e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9918710944949751 y1[1] (numeric) = -0.9918710944949766 absolute error = 1.443289932012704e-15 relative error = 1.45511845241097e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.014999999999779 y2[1] (analytic) = 0.1262548017723604 y2[1] (numeric) = 0.1262548017720783 absolute error = 2.821354261328679e-13 relative error = 2.234651056215374e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9919978452745862 y1[1] (numeric) = -0.9919978452745875 absolute error = 1.221245327087672e-15 relative error = 1.231096753793482e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.015999999999779 y2[1] (analytic) = 0.1252627409650233 y2[1] (numeric) = 0.1252627409647409 absolute error = 2.823852263134086e-13 relative error = 2.254343343742239e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9921236040564348 y1[1] (numeric) = -0.9921236040564357 absolute error = 8.881784197001252e-16 relative error = 8.952296025098937e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.016999999999779 y2[1] (analytic) = 0.1242705548949556 y2[1] (numeric) = 0.124270554894673 absolute error = 2.826350264939492e-13 relative error = 2.274352333365351e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.992248370714762 y1[1] (numeric) = -0.9922483707147627 absolute error = 6.661338147750939e-16 relative error = 6.713377763424768e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.017999999999779 y2[1] (analytic) = 0.1232782445543434 y2[1] (numeric) = 0.1232782445540605 absolute error = 2.828848266744899e-13 relative error = 2.294685714394552e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9923721451248012 y1[1] (numeric) = -0.9923721451248015 absolute error = 3.33066907387547e-16 relative error = 3.356270216005108e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.018999999999779 y2[1] (analytic) = 0.1222858109354969 y2[1] (numeric) = 0.1222858109352138 absolute error = 2.831346268550305e-13 relative error = 2.315351427030057e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.992494927162778 y1[1] (numeric) = -0.992494927162778 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] = 3.019999999999778 y2[1] (analytic) = 0.1212932550308497 y2[1] (numeric) = 0.1212932550305663 absolute error = 2.83398304823379e-13 relative error = 2.336472087844452e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9926167167059102 y1[1] (numeric) = -0.99261671670591 absolute error = 2.220446049250313e-16 relative error = 2.236962174704318e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.020999999999778 y2[1] (analytic) = 0.1203005778329576 y2[1] (numeric) = 0.1203005778326739 absolute error = 2.836619827917275e-13 relative error = 2.357943643343128e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9927375136324086 y1[1] (numeric) = -0.992737513632408 absolute error = 5.551115123125783e-16 relative error = 5.591724949341698e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.021999999999778 y2[1] (analytic) = 0.1193077803344976 y2[1] (numeric) = 0.1193077803342137 absolute error = 2.838979051844603e-13 relative error = 2.379542259427752e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9928573178214759 y1[1] (numeric) = -0.9928573178214751 absolute error = 7.771561172376096e-16 relative error = 7.827470305026737e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.022999999999778 y2[1] (analytic) = 0.1183148635282673 y2[1] (numeric) = 0.1183148635279831 absolute error = 2.841615831528088e-13 relative error = 2.401740361936167e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9929761291533082 y1[1] (numeric) = -0.9929761291533071 absolute error = 1.110223024625157e-15 relative error = 1.118076247786362e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.023999999999778 y2[1] (analytic) = 0.1173218284071832 y2[1] (numeric) = 0.1173218284068988 absolute error = 2.844113833333495e-13 relative error = 2.424198354173757e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9930939475090942 y1[1] (numeric) = -0.9930939475090927 absolute error = 1.443289932012704e-15 relative error = 1.453326682367568e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.024999999999778 y2[1] (analytic) = 0.1163286759642806 y2[1] (numeric) = 0.1163286759639959 absolute error = 2.846611835138901e-13 relative error = 2.447042237472874e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9932107727710153 y1[1] (numeric) = -0.9932107727710137 absolute error = 1.665334536937735e-15 relative error = 1.676718157508021e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.025999999999778 y2[1] (analytic) = 0.1153354071927117 y2[1] (numeric) = 0.1153354071924267 absolute error = 2.849248614822386e-13 relative error = 2.470402354466597e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9933266048222464 y1[1] (numeric) = -0.9933266048222446 absolute error = 1.887379141862766e-15 relative error = 1.900058986339652e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.026999999999778 y2[1] (analytic) = 0.1143420230857452 y2[1] (numeric) = 0.11434202308546 absolute error = 2.851746616627793e-13 relative error = 2.494049466388456e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9934414435469556 y1[1] (numeric) = -0.9934414435469534 absolute error = 2.220446049250313e-15 relative error = 2.235105112307872e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.027999999999778 y2[1] (analytic) = 0.1133485246367651 y2[1] (numeric) = 0.1133485246364797 absolute error = 2.854244618433199e-13 relative error = 2.518113603666097e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.993555288830304 y1[1] (numeric) = -0.9935552888303015 absolute error = 2.442490654175344e-15 relative error = 2.458333906159211e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.028999999999777 y2[1] (analytic) = 0.1123549128392698 y2[1] (numeric) = 0.1123549128389842 absolute error = 2.856742620238606e-13 relative error = 2.542605879927423e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9936681405584462 y1[1] (numeric) = -0.9936681405584435 absolute error = 2.664535259100376e-15 relative error = 2.681514230297143e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.029999999999777 y2[1] (analytic) = 0.1113611886868711 y2[1] (numeric) = 0.1113611886865852 absolute error = 2.859379399922091e-13 relative error = 2.567662426774361e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9937799986185308 y1[1] (numeric) = -0.9937799986185278 absolute error = 2.997602166487923e-15 relative error = 3.016363954451626e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.030999999999777 y2[1] (analytic) = 0.110367353173293 y2[1] (numeric) = 0.1103673531730068 absolute error = 2.861877401727497e-13 relative error = 2.593047055530931e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9938908628986995 y1[1] (numeric) = -0.9938908628986963 absolute error = 3.219646771412954e-15 relative error = 3.239436935784679e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.031999999999777 y2[1] (analytic) = 0.1093734072923709 y2[1] (numeric) = 0.1093734072920844 absolute error = 2.864375403532904e-13 relative error = 2.618895647893656e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9940007332880882 y1[1] (numeric) = -0.9940007332880847 absolute error = 3.552713678800501e-15 relative error = 3.574155993877752e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.032999999999777 y2[1] (analytic) = 0.1083793520380506 y2[1] (numeric) = 0.1083793520377639 absolute error = 2.86687340533831e-13 relative error = 2.645221023587397e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9941096096768265 y1[1] (numeric) = -0.9941096096768226 absolute error = 3.885780586188048e-15 relative error = 3.908804973177224e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.033999999999777 y2[1] (analytic) = 0.1073851884043873 y2[1] (numeric) = 0.1073851884041004 absolute error = 2.869510185021795e-13 relative error = 2.672165712664112e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9942174919560379 y1[1] (numeric) = -0.9942174919560337 absolute error = 4.218847493575595e-15 relative error = 4.243384900898669e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.034999999999777 y2[1] (analytic) = 0.1063909173855446 y2[1] (numeric) = 0.1063909173852574 absolute error = 2.872008186827202e-13 relative error = 2.69948625071018e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9943243800178402 y1[1] (numeric) = -0.9943243800178357 absolute error = 4.440892098500626e-15 relative error = 4.466240783939088e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.035999999999777 y2[1] (analytic) = 0.1053965399757933 y2[1] (numeric) = 0.1053965399755058 absolute error = 2.874506188632608e-13 relative error = 2.727325004495218e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9944302737553453 y1[1] (numeric) = -0.9944302737553407 absolute error = 4.662936703425657e-15 relative error = 4.689053447474645e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.036999999999777 y2[1] (analytic) = 0.1044020571695108 y2[1] (numeric) = 0.1044020571692231 absolute error = 2.877142968316093e-13 relative error = 2.755829766500351e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9945351730626596 y1[1] (numeric) = -0.9945351730626546 absolute error = 4.996003610813204e-15 relative error = 5.02345592808756e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.037999999999776 y2[1] (analytic) = 0.1034074699611799 y2[1] (numeric) = 0.1034074699608919 absolute error = 2.8796409701215e-13 relative error = 2.784751402584884e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9946390778348836 y1[1] (numeric) = -0.9946390778348784 absolute error = 5.218048215738236e-15 relative error = 5.246172538381269e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.038999999999776 y2[1] (analytic) = 0.1024127793453876 y2[1] (numeric) = 0.1024127793450994 absolute error = 2.882277749804985e-13 relative error = 2.814373136075614e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9947419879681128 y1[1] (numeric) = -0.9947419879681072 absolute error = 5.551115123125783e-15 relative error = 5.580457234407731e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.039999999999776 y2[1] (analytic) = 0.1014179863168245 y2[1] (numeric) = 0.101417986316536 absolute error = 2.884775751610391e-13 relative error = 2.844441953913876e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9948439033594367 y1[1] (numeric) = -0.994843903359431 absolute error = 5.773159728050814e-15 relative error = 5.803080974367668e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.040999999999776 y2[1] (analytic) = 0.1004230918702836 y2[1] (numeric) = 0.1004230918699948 absolute error = 2.887273753415798e-13 relative error = 2.875109399285661e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9949448239069404 y1[1] (numeric) = -0.9949448239069343 absolute error = 6.106226635438361e-15 relative error = 6.137251522612566e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.041999999999776 y2[1] (analytic) = 0.09942809700065913 y2[1] (numeric) = 0.09942809700037014 absolute error = 2.889910533099282e-13 relative error = 2.906533082977666e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.995044749509703 y1[1] (numeric) = -0.9950447495096966 absolute error = 6.439293542825908e-15 relative error = 6.471360756386883e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.042999999999776 y2[1] (analytic) = 0.09843300270294596 y2[1] (numeric) = 0.09843300270265672 absolute error = 2.892408534904689e-13 relative error = 2.938454030132033e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.995143680067799 y1[1] (numeric) = -0.9951436800677923 absolute error = 6.661338147750939e-15 relative error = 6.693845603578675e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.043999999999776 y2[1] (analytic) = 0.09743780997223829 y2[1] (numeric) = 0.0974378099719488 absolute error = 2.894906536710096e-13 relative error = 2.971029970331747e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9952416154822978 y1[1] (numeric) = -0.9952416154822908 absolute error = 6.994405055138486e-15 relative error = 7.02784624992693e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.044999999999776 y2[1] (analytic) = 0.09644251980372877 y2[1] (numeric) = 0.09644251980343903 absolute error = 2.897404538515502e-13 relative error = 3.00428124898856e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9953385556552642 y1[1] (numeric) = -0.9953385556552569 absolute error = 7.327471962526033e-15 relative error = 7.361788530036513e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.045999999999776 y2[1] (analytic) = 0.09544713319270748 y2[1] (numeric) = 0.09544713319241749 absolute error = 2.899902540320909e-13 relative error = 3.038229062853061e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9954345004897578 y1[1] (numeric) = -0.9954345004897502 absolute error = 7.549516567451064e-15 relative error = 7.584141963872733e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.046999999999775 y2[1] (analytic) = 0.09445165113456096 y2[1] (numeric) = 0.0944516511342707 absolute error = 2.902539320004394e-13 relative error = 3.073042435085945e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9955294498898338 y1[1] (numeric) = -0.9955294498898261 absolute error = 7.771561172376096e-15 relative error = 7.806460344529339e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.047999999999775 y2[1] (analytic) = 0.09345607462477117 y2[1] (numeric) = 0.09345607462448066 absolute error = 2.9050373218098e-13 relative error = 3.108452108087793e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.995623403760543 y1[1] (numeric) = -0.9956234037605349 absolute error = 8.104628079763643e-15 relative error = 8.140254687818572e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.048999999999775 y2[1] (analytic) = 0.09246040465891454 y2[1] (numeric) = 0.09246040465862378 absolute error = 2.907674101493285e-13 relative error = 3.144777607473885e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9957163620079313 y1[1] (numeric) = -0.995716362007923 absolute error = 8.326672684688674e-15 relative error = 8.362494584198013e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.049999999999775 y2[1] (analytic) = 0.09146464223266096 y2[1] (numeric) = 0.09146464223236994 absolute error = 2.910172103298692e-13 relative error = 3.18174546170094e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9958083245390407 y1[1] (numeric) = -0.995808324539032 absolute error = 8.659739592076221e-15 relative error = 8.696191203347101e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.050999999999775 y2[1] (analytic) = 0.09046878834177277 y2[1] (numeric) = 0.0904687883414815 absolute error = 2.912670105104098e-13 relative error = 3.219530357918158e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9958992912619085 y1[1] (numeric) = -0.9958992912618995 absolute error = 8.992806499463768e-15 relative error = 9.029835223668994e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.051999999999775 y2[1] (analytic) = 0.08947284398210378 y2[1] (numeric) = 0.08947284398181225 absolute error = 2.915306884787583e-13 relative error = 3.25831476349483e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9959892620855679 y1[1] (numeric) = -0.9959892620855587 absolute error = 9.214851104388799e-15 relative error = 9.251958284262234e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.052999999999775 y2[1] (analytic) = 0.08847681014959827 y2[1] (numeric) = 0.08847681014930649 absolute error = 2.91780488659299e-13 relative error = 3.297818808860208e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9960782369200484 y1[1] (numeric) = -0.9960782369200388 absolute error = 9.547918011776346e-15 relative error = 9.58551011143387e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.053999999999775 y2[1] (analytic) = 0.08748068784028996 y2[1] (numeric) = 0.08748068783999793 absolute error = 2.920302888398396e-13 relative error = 3.338225796452216e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9961662156763749 y1[1] (numeric) = -0.9961662156763651 absolute error = 9.769962616701378e-15 relative error = 9.807562696821423e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.054999999999775 y2[1] (analytic) = 0.08648447805030111 y2[1] (numeric) = 0.08648447805000883 absolute error = 2.922800890203803e-13 relative error = 3.379567011439721e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9962531982665687 y1[1] (numeric) = -0.9962531982665587 absolute error = 9.992007221626409e-15 relative error = 1.00295860921822e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.055999999999774 y2[1] (analytic) = 0.08548818177584143 y2[1] (numeric) = 0.08548818177554889 absolute error = 2.925437669887287e-13 relative error = 3.42203753678851e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9963391846036472 y1[1] (numeric) = -0.996339184603637 absolute error = 1.021405182655144e-14 relative error = 1.025158097201073e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.056999999999774 y2[1] (analytic) = 0.08449180001320709 y2[1] (numeric) = 0.08449180001291429 absolute error = 2.928074449570772e-13 relative error = 3.465513161174313e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9964241746016242 y1[1] (numeric) = -0.9964241746016137 absolute error = 1.054711873393899e-14 relative error = 1.058496873397896e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.057999999999774 y2[1] (analytic) = 0.08349533375877978 y2[1] (numeric) = 0.08349533375848672 absolute error = 2.930572451376179e-13 relative error = 3.509863748605018e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9965081681755097 y1[1] (numeric) = -0.9965081681754988 absolute error = 1.088018564132653e-14 relative error = 1.091831054555919e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.058999999999774 y2[1] (analytic) = 0.08249878400902566 y2[1] (numeric) = 0.08249878400873235 absolute error = 2.933070453181585e-13 relative error = 3.555289315368208e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9965911652413101 y1[1] (numeric) = -0.9965911652412989 absolute error = 1.121325254871408e-14 relative error = 1.12516074191757e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.059999999999774 y2[1] (analytic) = 0.08150215176049441 y2[1] (numeric) = 0.08150215176020086 absolute error = 2.935568454986992e-13 relative error = 3.601829389257813e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9966731657160282 y1[1] (numeric) = -0.9966731657160167 absolute error = 1.143529715363911e-14 relative error = 1.147346747860297e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.060999999999774 y2[1] (analytic) = 0.0805054380098182 y2[1] (numeric) = 0.08050543800952438 absolute error = 2.938205234670477e-13 relative error = 3.649697843159542e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9967541695176636 y1[1] (numeric) = -0.9967541695176519 absolute error = 1.165734175856414e-14 relative error = 1.169530272866098e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.061999999999774 y2[1] (analytic) = 0.07950864375371068 y2[1] (numeric) = 0.07950864375341661 absolute error = 2.940703236475883e-13 relative error = 3.698595646512509e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9968341765652127 y1[1] (numeric) = -0.9968341765652007 absolute error = 1.199040866595169e-14 relative error = 1.202848873748189e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.062999999999774 y2[1] (analytic) = 0.07851176998896603 y2[1] (numeric) = 0.07851176998867171 absolute error = 2.94320123828129e-13 relative error = 3.748738868955476e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9969131867786681 y1[1] (numeric) = -0.9969131867786559 absolute error = 1.221245327087672e-14 relative error = 1.22502675587419e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.063999999999774 y2[1] (analytic) = 0.07751481771245794 y2[1] (numeric) = 0.07751481771216337 absolute error = 2.945699240086697e-13 relative error = 3.800175665785347e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.99699120007902 y1[1] (numeric) = -0.9969912000790074 absolute error = 1.254552017826427e-14 relative error = 1.258338105418576e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.064999999999773 y2[1] (analytic) = 0.0765177879211386 y2[1] (numeric) = 0.07651778792084377 absolute error = 2.948336019770181e-13 relative error = 3.853138073997669e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9970682163882548 y1[1] (numeric) = -0.9970682163882419 absolute error = 1.287858708565182e-14 relative error = 1.291645533773282e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.065999999999773 y2[1] (analytic) = 0.0755206816120377 y2[1] (numeric) = 0.07552068161174262 absolute error = 2.950834021575588e-13 relative error = 3.907319105956316e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9971442356293563 y1[1] (numeric) = -0.9971442356293432 absolute error = 1.310063169057685e-14 relative error = 1.313815115454011e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.066999999999773 y2[1] (analytic) = 0.0745234997822615 y2[1] (numeric) = 0.07452349978196617 absolute error = 2.953332023380995e-13 relative error = 3.962954010493161e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9972192577263053 y1[1] (numeric) = -0.9972192577262918 absolute error = 1.343369859796439e-14 relative error = 1.3471158417652e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.067999999999773 y2[1] (analytic) = 0.07352624342899172 y2[1] (numeric) = 0.07352624342869614 absolute error = 2.955830025186401e-13 relative error = 4.02010205790128e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9972932826040797 y1[1] (numeric) = -0.9972932826040659 absolute error = 1.376676550535194e-14 relative error = 1.380412938248705e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.068999999999773 y2[1] (analytic) = 0.07252891354948464 y2[1] (numeric) = 0.07252891354918881 absolute error = 2.958328026991808e-13 relative error = 4.078825784386547e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9973663101886545 y1[1] (numeric) = -0.9973663101886405 absolute error = 1.398881011027697e-14 relative error = 1.402574958405298e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.069999999999773 y2[1] (analytic) = 0.07153151114107005 y2[1] (numeric) = 0.07153151114077397 absolute error = 2.960826028797214e-13 relative error = 4.139191220157582e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9974383404070023 y1[1] (numeric) = -0.997438340406988 absolute error = 1.432187701766452e-14 relative error = 1.435865901427101e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.070999999999773 y2[1] (analytic) = 0.07053403720115028 y2[1] (numeric) = 0.07053403720085395 absolute error = 2.963324030602621e-13 relative error = 4.201268136902129e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9975093731870928 y1[1] (numeric) = -0.9975093731870782 absolute error = 1.454392162258955e-14 relative error = 1.458023554818436e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.071999999999773 y2[1] (analytic) = 0.0695364927271992 y2[1] (numeric) = 0.06953649272690261 absolute error = 2.965822032408028e-13 relative error = 4.265130316599857e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9975794084578933 y1[1] (numeric) = -0.9975794084578784 absolute error = 1.48769885299771e-14 relative error = 1.491308702228995e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.072999999999773 y2[1] (analytic) = 0.06853887871676118 y2[1] (numeric) = 0.06853887871646434 absolute error = 2.968320034213434e-13 relative error = 4.330855843849006e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9976484461493683 y1[1] (numeric) = -0.9976484461493532 absolute error = 1.509903313490213e-14 relative error = 1.513462301593311e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.073999999999772 y2[1] (analytic) = 0.06754119616745013 y2[1] (numeric) = 0.06754119616715307 absolute error = 2.970679258140763e-13 relative error = 4.398321952687611e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9977164861924804 y1[1] (numeric) = -0.997716486192465 absolute error = 1.543210004228968e-14 relative error = 1.546742010967683e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.074999999999772 y2[1] (analytic) = 0.06654344607694858 y2[1] (numeric) = 0.06654344607665125 absolute error = 2.973316037824247e-13 relative error = 4.468232730817706e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9977835285191895 y1[1] (numeric) = -0.9977835285191737 absolute error = 1.576516694967722e-14 relative error = 1.580018761491714e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.075999999999772 y2[1] (analytic) = 0.06554562944300647 y2[1] (numeric) = 0.06554562944270889 absolute error = 2.975814039629654e-13 relative error = 4.54006478375068e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9978495730624531 y1[1] (numeric) = -0.9978495730624372 absolute error = 1.598721155460225e-14 relative error = 1.602166497454787e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.076999999999772 y2[1] (analytic) = 0.0645477472634404 y2[1] (numeric) = 0.06454774726314257 absolute error = 2.978312041435061e-13 relative error = 4.614122363216796e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.997914619756227 y1[1] (numeric) = -0.9979146197562107 absolute error = 1.63202784619898e-14 relative error = 1.635438357038657e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.077999999999772 y2[1] (analytic) = 0.06354980053613243 y2[1] (numeric) = 0.06354980053583435 absolute error = 2.980810043240467e-13 relative error = 4.690510462807309e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9979786685354641 y1[1] (numeric) = -0.9979786685354476 absolute error = 1.654232306691483e-14 relative error = 1.657582831022904e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.078999999999772 y2[1] (analytic) = 0.06255179025902922 y2[1] (numeric) = 0.06255179025873089 absolute error = 2.983308045045874e-13 relative error = 4.769340785758309e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.998041719336116 y1[1] (numeric) = -0.9980417193360991 absolute error = 1.687538997430238e-14 relative error = 1.690850156597428e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.079999999999772 y2[1] (analytic) = 0.06155371743014097 y2[1] (numeric) = 0.06155371742984239 absolute error = 2.98580604685128e-13 relative error = 4.850732289629712e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9981037720951316 y1[1] (numeric) = -0.9981037720951145 absolute error = 1.709743457922741e-14 relative error = 1.712991680548204e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.080999999999772 y2[1] (analytic) = 0.06055558304754043 y2[1] (numeric) = 0.06055558304724159 absolute error = 2.988373437595726e-13 relative error = 4.934926372106171e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9981648267504583 y1[1] (numeric) = -0.9981648267504409 absolute error = 1.731947918415244e-14 relative error = 1.73513218658849e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.081999999999772 y2[1] (analytic) = 0.05955738810936187 y2[1] (numeric) = 0.05955738810906278 absolute error = 2.990871439401133e-13 relative error = 5.021831101641268e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9982248832410414 y1[1] (numeric) = -0.9982248832410238 absolute error = 1.765254609153999e-14 relative error = 1.768393714472997e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.082999999999771 y2[1] (analytic) = 0.05855913361380017 y2[1] (numeric) = 0.05855913361350083 absolute error = 2.993369441206539e-13 relative error = 5.111703771008517e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9982839415068245 y1[1] (numeric) = -0.9982839415068065 absolute error = 1.798561299892754e-14 relative error = 1.801653041897057e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.083999999999771 y2[1] (analytic) = 0.05756082055910974 y2[1] (numeric) = 0.05756082055881015 absolute error = 2.995867443011946e-13 relative error = 5.204698984329909e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9983420014887493 y1[1] (numeric) = -0.9983420014887311 absolute error = 1.820765760385257e-14 relative error = 1.823789600828265e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.084999999999771 y2[1] (analytic) = 0.05656244994360354 y2[1] (numeric) = 0.05656244994330371 absolute error = 2.998365444817352e-13 relative error = 5.30098227323413e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9983990631287558 y1[1] (numeric) = -0.9983990631287373 absolute error = 1.854072451124011e-14 relative error = 1.857045463678391e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.085999999999771 y2[1] (analytic) = 0.05556402276565212 y2[1] (numeric) = 0.05556402276535203 absolute error = 3.000863446622759e-13 relative error = 5.400731079675887e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9984551263697824 y1[1] (numeric) = -0.9984551263697635 absolute error = 1.887379141862766e-14 relative error = 1.890299415583116e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.086999999999771 y2[1] (analytic) = 0.05456554002368256 y2[1] (numeric) = 0.05456554002338222 absolute error = 3.003361448428166e-13 relative error = 5.504135846771874e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9985101911557658 y1[1] (numeric) = -0.9985101911557466 absolute error = 1.920685832601521e-14 relative error = 1.923551556723067e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.087999999999771 y2[1] (analytic) = 0.05356700271617752 y2[1] (numeric) = 0.05356700271587694 absolute error = 3.005859450233572e-13 relative error = 5.611401231762005e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9985642574316412 y1[1] (numeric) = -0.9985642574316217 absolute error = 1.953992523340276e-14 relative error = 1.956801987251221e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.088999999999771 y2[1] (analytic) = 0.05256841184167423 y2[1] (numeric) = 0.0525684118413734 absolute error = 3.008357452038979e-13 relative error = 5.722747457350552e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9986173251433424 y1[1] (numeric) = -0.9986173251433226 absolute error = 1.98729921407903e-14 relative error = 1.990050807293746e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.089999999999771 y2[1] (analytic) = 0.05156976839876348 y2[1] (numeric) = 0.0515697683984624 absolute error = 3.010855453844385e-13 relative error = 5.838411820202354e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9986693942378018 y1[1] (numeric) = -0.9986693942377816 absolute error = 2.020605904817785e-14 relative error = 2.023298116950845e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.090999999999771 y2[1] (analytic) = 0.05057107338608863 y2[1] (numeric) = 0.0505710733857873 absolute error = 3.013284066710753e-13 relative error = 5.958513167607916e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9987204646629501 y1[1] (numeric) = -0.9987204646629295 absolute error = 2.05391259555654e-14 relative error = 2.056544016297591e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09199999999977 y2[1] (analytic) = 0.04957232780234461 y2[1] (numeric) = 0.04957232780204303 absolute error = 3.01578206851616e-13 relative error = 6.083599867532392e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9987705363677168 y1[1] (numeric) = -0.9987705363676961 absolute error = 2.076117056049043e-14 relative error = 2.078672708547622e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09299999999977 y2[1] (analytic) = 0.04857353264627691 y2[1] (numeric) = 0.04857353264597508 absolute error = 3.018280070321566e-13 relative error = 6.213836848765648e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9988196093020306 y1[1] (numeric) = -0.9988196093020095 absolute error = 2.109423746787797e-14 relative error = 2.111916633536911e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09399999999977 y2[1] (analytic) = 0.04757468891668062 y2[1] (numeric) = 0.04757468891637854 absolute error = 3.020778072126973e-13 relative error = 6.349548764086251e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9988676834168183 y1[1] (numeric) = -0.9988676834167969 absolute error = 2.142730437526552e-14 relative error = 2.145159437130784e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09499999999977 y2[1] (analytic) = 0.04657579761239937 y2[1] (numeric) = 0.04657579761209704 absolute error = 3.023276073932379e-13 relative error = 6.491088137860521e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9989147586640057 y1[1] (numeric) = -0.998914758663984 absolute error = 2.164934898019055e-14 relative error = 2.167286927379608e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09599999999977 y2[1] (analytic) = 0.04557685973232439 y2[1] (numeric) = 0.04557685973202182 absolute error = 3.025774075737786e-13 relative error = 6.638838422630118e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9989608349965178 y1[1] (numeric) = -0.9989608349964958 absolute error = 2.19824158875781e-14 relative error = 2.200528300757129e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09699999999977 y2[1] (analytic) = 0.04457787627539348 y2[1] (numeric) = 0.04457787627509065 absolute error = 3.028272077543193e-13 relative error = 6.793217466967503e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9990059123682781 y1[1] (numeric) = -0.9990059123682558 absolute error = 2.231548279496565e-14 relative error = 2.233768841474e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09799999999977 y2[1] (analytic) = 0.04357884824059001 y2[1] (numeric) = 0.04357884824028693 absolute error = 3.030770079348599e-13 relative error = 6.954681460639645e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9990499907342093 y1[1] (numeric) = -0.9990499907341867 absolute error = 2.264854970235319e-14 relative error = 2.267008649457932e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09899999999977 y2[1] (analytic) = 0.04257977662694194 y2[1] (numeric) = 0.0425797766266386 absolute error = 3.033337470093045e-13 relative error = 7.123892397720402e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.999093070050233 y1[1] (numeric) = -0.9990930700502101 absolute error = 2.287059430727822e-14 relative error = 2.289135516286618e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09999999999977 y2[1] (analytic) = 0.04158066243352077 y2[1] (numeric) = 0.0415806624332172 absolute error = 3.035766082959412e-13 relative error = 7.300908415812278e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9991351502732699 y1[1] (numeric) = -0.9991351502732467 absolute error = 2.320366121466577e-14 relative error = 2.322374626527695e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.100999999999769 y2[1] (analytic) = 0.04058150665944064 y2[1] (numeric) = 0.04058150665913682 absolute error = 3.038264084764819e-13 relative error = 7.486819329459309e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9991762313612398 y1[1] (numeric) = -0.9991762313612164 absolute error = 2.34257058195908e-14 relative error = 2.344501909105315e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.101999999999769 y2[1] (analytic) = 0.03958231030385724 y2[1] (numeric) = 0.03958231030355316 absolute error = 3.040762086570226e-13 relative error = 7.682123815481047e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9992163132730616 y1[1] (numeric) = -0.9992163132730378 absolute error = 2.375877272697835e-14 relative error = 2.377740676506114e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.102999999999769 y2[1] (analytic) = 0.03858307436596683 y2[1] (numeric) = 0.0385830743656625 absolute error = 3.043260088375632e-13 relative error = 7.887552089576399e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9992553959686534 y1[1] (numeric) = -0.9992553959686293 absolute error = 2.40918396343659e-14 relative error = 2.410979188259661e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.103999999999769 y2[1] (analytic) = 0.03758379984500527 y2[1] (numeric) = 0.03758379984470069 absolute error = 3.045758090181039e-13 relative error = 8.103912065149547e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9992934794089325 y1[1] (numeric) = -0.9992934794089081 absolute error = 2.442490654175344e-14 relative error = 2.44421754419937e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.104999999999769 y2[1] (analytic) = 0.03658448774024699 y2[1] (numeric) = 0.03658448773994217 absolute error = 3.048256091986445e-13 relative error = 8.332099969881567e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9993305635558155 y1[1] (numeric) = -0.9993305635557908 absolute error = 2.475797344914099e-14 relative error = 2.477455844145028e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.105999999999769 y2[1] (analytic) = 0.03558513905100403 y2[1] (numeric) = 0.03558513905069895 absolute error = 3.050754093791852e-13 relative error = 8.573112751981154e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9993666483722181 y1[1] (numeric) = -0.9993666483721931 absolute error = 2.498001805406602e-14 relative error = 2.499584921585467e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.106999999999769 y2[1] (analytic) = 0.03458575477662498 y2[1] (numeric) = 0.03458575477631965 absolute error = 3.053252095597259e-13 relative error = 8.828062638265222e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9994017338220558 y1[1] (numeric) = -0.9994017338220305 absolute error = 2.531308496145357e-14 relative error = 2.532823798958966e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.107999999999769 y2[1] (analytic) = 0.03358633591649404 y2[1] (numeric) = 0.03358633591618845 absolute error = 3.055819486341704e-13 relative error = 9.098400891182092e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9994358198702428 y1[1] (numeric) = -0.9994358198702172 absolute error = 2.55351295663786e-14 relative error = 2.554954411149066e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.108999999999769 y2[1] (analytic) = 0.03258688347002997 y2[1] (numeric) = 0.03258688346972414 absolute error = 3.058317488147111e-13 relative error = 9.385118067396146e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9994689064826933 y1[1] (numeric) = -0.9994689064826674 absolute error = 2.586819647376615e-14 relative error = 2.588194220548679e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.109999999999769 y2[1] (analytic) = 0.03158739843668516 y2[1] (numeric) = 0.03158739843637907 absolute error = 3.060815489952518e-13 relative error = 9.689989177449098e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9995009936263206 y1[1] (numeric) = -0.9995009936262944 absolute error = 2.620126338115369e-14 relative error = 2.621434450614409e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.110999999999768 y2[1] (analytic) = 0.03058788181594453 y2[1] (numeric) = 0.0305878818156382 absolute error = 3.063278797288405e-13 relative error = 1.001468102865368e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9995320812690375 y1[1] (numeric) = -0.9995320812690111 absolute error = 2.642330798607873e-14 relative error = 2.643567773485655e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.111999999999768 y2[1] (analytic) = 0.02958833460732464 y2[1] (numeric) = 0.02958833460701807 absolute error = 3.065776799093811e-13 relative error = 1.036143750495127e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9995621693797565 y1[1] (numeric) = -0.9995621693797297 absolute error = 2.675637489346627e-14 relative error = 2.676809478500873e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.112999999999768 y2[1] (analytic) = 0.02858875781037261 y2[1] (numeric) = 0.02858875781006578 absolute error = 3.068274800899218e-13 relative error = 1.073245232007241e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9995912579283894 y1[1] (numeric) = -0.9995912579283623 absolute error = 2.708944180085382e-14 relative error = 2.710051892310017e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.113999999999768 y2[1] (analytic) = 0.02758915242466515 y2[1] (numeric) = 0.02758915242435808 absolute error = 3.070738108235105e-13 relative error = 1.113023720688793e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9996193468858476 y1[1] (numeric) = -0.9996193468858203 absolute error = 2.731148640577885e-14 relative error = 2.732188656698509e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.114999999999768 y2[1] (analytic) = 0.02658951944980757 y2[1] (numeric) = 0.02658951944950025 absolute error = 3.073201415570992e-13 relative error = 1.155794267501601e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9996464362240424 y1[1] (numeric) = -0.9996464362240147 absolute error = 2.76445533131664e-14 relative error = 2.765433088281491e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.115999999999768 y2[1] (analytic) = 0.02558985988543275 y2[1] (numeric) = 0.02558985988512518 absolute error = 3.075699417376399e-13 relative error = 1.201921163752548e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9996725259158841 y1[1] (numeric) = -0.9996725259158562 absolute error = 2.786659791809143e-14 relative error = 2.78757264960948e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.116999999999768 y2[1] (analytic) = 0.02459017473120018 y2[1] (numeric) = 0.02459017473089236 absolute error = 3.078162724712286e-13 relative error = 1.251785625096308e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9996976159352833 y1[1] (numeric) = -0.9996976159352551 absolute error = 2.819966482547898e-14 relative error = 2.820819453400049e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.117999999999768 y2[1] (analytic) = 0.02359046498679493 y2[1] (numeric) = 0.02359046498648686 absolute error = 3.080626032048173e-13 relative error = 1.305877622070016e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9997217062571497 y1[1] (numeric) = -0.9997217062571213 absolute error = 2.842170943040401e-14 relative error = 2.842962121610005e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.118999999999768 y2[1] (analytic) = 0.02259073165192665 y2[1] (numeric) = 0.02259073165161834 absolute error = 3.08308933938406e-13 relative error = 1.364758515522059e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9997447968573934 y1[1] (numeric) = -0.9997447968573646 absolute error = 2.875477633779155e-14 relative error = 2.876211652031556e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.119999999999767 y2[1] (analytic) = 0.02159097572632861 y2[1] (numeric) = 0.02159097572602005 absolute error = 3.085552646719947e-13 relative error = 1.429093657382673e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9997668877129233 y1[1] (numeric) = -0.9997668877128943 absolute error = 2.897682094271659e-14 relative error = 2.898357737072514e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.120999999999767 y2[1] (analytic) = 0.02059119820975664 y2[1] (numeric) = 0.02059119820944783 absolute error = 3.088050648525353e-13 relative error = 1.499694489397006e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9997879788016489 y1[1] (numeric) = -0.9997879788016196 absolute error = 2.930988785010413e-14 relative error = 2.931610348549611e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.121999999999767 y2[1] (analytic) = 0.01959140010198817 y2[1] (numeric) = 0.01959140010167912 absolute error = 3.09054865033076e-13 relative error = 1.577502697225363e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9998080701024791 y1[1] (numeric) = -0.9998080701024494 absolute error = 2.964295475749168e-14 relative error = 2.964864521893018e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.122999999999767 y2[1] (analytic) = 0.01859158240282124 y2[1] (numeric) = 0.01859158240251194 absolute error = 3.093046652136167e-13 relative error = 1.663681221490217e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9998271615953225 y1[1] (numeric) = -0.9998271615952925 absolute error = 2.997602166487923e-14 relative error = 2.998120356827428e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.123999999999767 y2[1] (analytic) = 0.01759174611207345 y2[1] (numeric) = 0.0175917461117639 absolute error = 3.095509959472054e-13 relative error = 1.75963769585531e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9998452532610875 y1[1] (numeric) = -0.9998452532610573 absolute error = 3.019806626980426e-14 relative error = 3.020274004533249e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.124999999999767 y2[1] (analytic) = 0.01659189222958102 y2[1] (numeric) = 0.01659189222927122 absolute error = 3.097973266807941e-13 relative error = 1.867160914464408e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9998623450816827 y1[1] (numeric) = -0.9998623450816522 absolute error = 3.05311331771918e-14 relative error = 3.053533651644577e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.125999999999767 y2[1] (analytic) = 0.01559202175519774 y2[1] (numeric) = 0.01559202175488769 absolute error = 3.100453921378588e-13 relative error = 1.988487426491067e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9998784370400161 y1[1] (numeric) = -0.9998784370399852 absolute error = 3.086420008457935e-14 relative error = 3.086795248425198e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.126999999999767 y2[1] (analytic) = 0.014592135688794 y2[1] (numeric) = 0.01459213568848371 absolute error = 3.102934575949234e-13 relative error = 2.126443066406054e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9998935291199957 y1[1] (numeric) = -0.9998935291199647 absolute error = 3.108624468950438e-14 relative error = 3.10895548217652e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.127999999999767 y2[1] (analytic) = 0.01359223503025579 y2[1] (numeric) = 0.01359223502994525 absolute error = 3.105397883285121e-13 relative error = 2.284685245930949e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999076213065297 y1[1] (numeric) = -0.9999076213064982 absolute error = 3.141931159689193e-14 relative error = 3.14222143399986e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.128999999999766 y2[1] (analytic) = 0.01259232077948369 y2[1] (numeric) = 0.0125923207791729 absolute error = 3.107878537855768e-13 relative error = 2.468074465605536e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999207135855255 y1[1] (numeric) = -0.9999207135854938 absolute error = 3.164135620181696e-14 relative error = 3.164386513042327e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.129999999999766 y2[1] (analytic) = 0.01159239393639185 y2[1] (numeric) = 0.01159239393608082 absolute error = 3.110341845191655e-13 relative error = 2.683088464952351e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999328059438911 y1[1] (numeric) = -0.9999328059438591 absolute error = 3.197442310920451e-14 relative error = 3.19765717447605e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.130999999999766 y2[1] (analytic) = 0.01059245550090704 y2[1] (numeric) = 0.01059245550059576 absolute error = 3.112805152527542e-13 relative error = 2.93870024024268e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999438983695342 y1[1] (numeric) = -0.9999438983695018 absolute error = 3.241851231905457e-14 relative error = 3.242033115249246e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.131999999999766 y2[1] (analytic) = 0.009592506472967619 y2[1] (numeric) = 0.009592506472656092 absolute error = 3.115268459863429e-13 relative error = 3.247606315036099e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999539908513622 y1[1] (numeric) = -0.9999539908513295 absolute error = 3.26405569239796e-14 relative error = 3.264205875731281e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.132999999999766 y2[1] (analytic) = 0.00859254785252252 y2[1] (numeric) = 0.008592547852210747 absolute error = 3.117731767199317e-13 relative error = 3.62841362155934e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999630833792826 y1[1] (numeric) = -0.9999630833792497 absolute error = 3.297362383136715e-14 relative error = 3.297484115107114e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.133999999999766 y2[1] (analytic) = 0.007592580639530285 y2[1] (numeric) = 0.007592580639218265 absolute error = 3.120203748152584e-13 relative error = 4.109543113585705e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.999971175944203 y1[1] (numeric) = -0.9999711759441697 absolute error = 3.33066907387547e-14 relative error = 3.330765080033983e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.134999999999766 y2[1] (analytic) = 0.006592605833958043 y2[1] (numeric) = 0.006592605833645776 absolute error = 3.122667055488471e-13 relative error = 4.736620289664271e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999782685380308 y1[1] (numeric) = -0.9999782685379972 absolute error = 3.363975764614224e-14 relative error = 3.364048870314312e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.135999999999766 y2[1] (analytic) = 0.005592624435780517 y2[1] (numeric) = 0.005592624435468003 absolute error = 3.125139036441738e-13 relative error = 5.587965135737901e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999843611536734 y1[1] (numeric) = -0.9999843611536395 absolute error = 3.386180225106727e-14 relative error = 3.386233181887085e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.136999999999766 y2[1] (analytic) = 0.004592637444979021 y2[1] (numeric) = 0.00459263744466626 absolute error = 3.127611017395004e-13 relative error = 6.810054255021412e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999894537850381 y1[1] (numeric) = -0.999989453785004 absolute error = 3.408384685599231e-14 relative error = 3.408420631535891e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.137999999999765 y2[1] (analytic) = 0.003592645861540462 y2[1] (numeric) = 0.003592645861227454 absolute error = 3.130078661539581e-13 relative error = 8.712460905338051e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999935464270325 y1[1] (numeric) = -0.999993546426998 absolute error = 3.452793606584237e-14 relative error = 3.452815889583524e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.138999999999765 y2[1] (analytic) = 0.002592650685456341 y2[1] (numeric) = 0.002592650685143087 absolute error = 3.132541968875469e-13 relative error = 1.208239114682007e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = -0.9999966390755637 y1[1] (numeric) = -0.9999966390755289 absolute error = 3.47499806707674e-14 relative error = 3.475009746321913e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.139999999999765 y2[1] (analytic) = 0.001592652916721751 y2[1] (numeric) = 0.00159265291640825 absolute error = 3.135005276211356e-13 relative error = 1.968417125474091e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = -0.9999987317275392 y1[1] (numeric) = -0.9999987317275041 absolute error = 3.508304757815495e-14 relative error = 3.508309207307446e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.140999999999765 y2[1] (analytic) = 0.000592653555334377 y2[1] (numeric) = 0.00059265355502063 absolute error = 3.137469667749415e-13 relative error = 5.293935452693345e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = -0.9999998243808662 y1[1] (numeric) = -0.9999998243808309 absolute error = 3.530509218307998e-14 relative error = 3.530509838333077e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.141999999999765 y2[1] (analytic) = -0.000407346398706503 y2[1] (numeric) = -0.0004073463990204962 absolute error = 3.139931348782043e-13 relative error = 7.70825852088702e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = -0.9999999170344522 y1[1] (numeric) = -0.9999999170344166 absolute error = 3.563815909046752e-14 relative error = 3.563816204720716e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.142999999999765 y2[1] (analytic) = -0.001407345945401018 y2[1] (numeric) = -0.001407345945715258 absolute error = 3.142393029814672e-13 relative error = 2.232850451648729e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = -0.9999990096882047 y1[1] (numeric) = -0.9999990096881686 absolute error = 3.608224830031759e-14 relative error = 3.608228403302907e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.143999999999765 y2[1] (analytic) = -0.002407344084749706 y2[1] (numeric) = -0.002407344085064191 absolute error = 3.144849831937524e-13 relative error = 1.30635659931617e-08 % Correct digits = 9 h = 0.001 y1[1] (analytic) = -0.9999971023430306 y1[1] (numeric) = -0.9999971023429942 absolute error = 3.641531520770513e-14 relative error = 3.64154207271028e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.144999999999765 y2[1] (analytic) = -0.003407339816754508 y2[1] (numeric) = -0.003407339817069239 absolute error = 3.147308802464721e-13 relative error = 9.23685036340911e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999941950008375 y1[1] (numeric) = -0.9999941950008009 absolute error = 3.663735981263017e-14 relative error = 3.663757249370781e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.145999999999765 y2[1] (analytic) = -0.004407332141419779 y2[1] (numeric) = -0.004407332141734755 absolute error = 3.149763436183228e-13 relative error = 7.146644126459149e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999902876645329 y1[1] (numeric) = -0.9999902876644958 absolute error = 3.708144902248023e-14 relative error = 3.708180917345065e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.146999999999764 y2[1] (analytic) = -0.005407320058753275 y2[1] (numeric) = -0.005407320059068497 absolute error = 3.152218069901735e-13 relative error = 5.829538543402809e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999853803380239 y1[1] (numeric) = -0.9999853803379865 absolute error = 3.741451592986778e-14 relative error = 3.741506292544056e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.147999999999764 y2[1] (analytic) = -0.006407302568767163 y2[1] (numeric) = -0.00640730256908263 absolute error = 3.154672703620243e-13 relative error = 4.92355818967862e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999794730262178 y1[1] (numeric) = -0.9999794730261801 absolute error = 3.774758283725532e-14 relative error = 3.774835769680409e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.148999999999764 y2[1] (analytic) = -0.007407278671479015 y2[1] (numeric) = -0.007407278671794729 absolute error = 3.15713601095613e-13 relative error = 4.262207689191398e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.999972565735022 y1[1] (numeric) = -0.9999725657349841 absolute error = 3.796962744218035e-14 relative error = 3.797066913957892e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.149999999999764 y2[1] (analytic) = -0.008407247366912814 y2[1] (numeric) = -0.008407247367228773 absolute error = 3.159590644674637e-13 relative error = 3.758174949281712e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.999964658471344 y1[1] (numeric) = -0.9999646584713056 absolute error = 3.841371665203042e-14 relative error = 3.841507429947959e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.150999999999764 y2[1] (analytic) = -0.009407207655099947 y2[1] (numeric) = -0.009407207655416151 absolute error = 3.162036604775764e-13 relative error = 3.361291384974928e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999557512430907 y1[1] (numeric) = -0.9999557512430519 absolute error = 3.874678355941796e-14 relative error = 3.874849813229242e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.151999999999764 y2[1] (analytic) = -0.01040715853608021 y2[1] (numeric) = -0.01040715853639666 absolute error = 3.164482564876892e-13 relative error = 3.040678734647943e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999458440591695 y1[1] (numeric) = -0.9999458440591305 absolute error = 3.907985046680551e-14 relative error = 3.908196698749723e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.152999999999764 y2[1] (analytic) = -0.0114070990099028 y2[1] (numeric) = -0.0114070990102195 absolute error = 3.166945872212779e-13 relative error = 2.776293840759574e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999349369294875 y1[1] (numeric) = -0.9999349369294482 absolute error = 3.930189507173054e-14 relative error = 3.930445234008459e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.153999999999764 y2[1] (analytic) = -0.01240702807662734 y2[1] (numeric) = -0.01240702807694427 absolute error = 3.169391832313906e-13 relative error = 2.554513307086396e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999230298649521 y1[1] (numeric) = -0.9999230298649124 absolute error = 3.963496197911809e-14 relative error = 3.963801292232575e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.154999999999764 y2[1] (analytic) = -0.01340694473632482 y2[1] (numeric) = -0.01340694473664201 absolute error = 3.171855139649793e-13 relative error = 2.365829950097398e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9999101228774699 y1[1] (numeric) = -0.9999101228774301 absolute error = 3.985700658404312e-14 relative error = 3.98605891390973e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.155999999999763 y2[1] (analytic) = -0.0144068479890787 y2[1] (numeric) = -0.01440684798939613 absolute error = 3.17430109975092e-13 relative error = 2.20332796053463e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9998962159799484 y1[1] (numeric) = -0.9998962159799082 absolute error = 4.019007349143067e-14 relative error = 4.019424501176093e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.156999999999763 y2[1] (analytic) = -0.01540673683498578 y2[1] (numeric) = -0.01540673683530345 absolute error = 3.176747059852048e-13 relative error = 2.061920764842466e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9998813091862941 y1[1] (numeric) = -0.9998813091862536 absolute error = 4.052314039881821e-14 relative error = 4.052795069426395e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.157999999999763 y2[1] (analytic) = -0.01640661027415731 y2[1] (numeric) = -0.01640661027447523 absolute error = 3.179193019953175e-13 relative error = 1.937751288552789e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.999865402511414 y1[1] (numeric) = -0.9998654025113731 absolute error = 4.085620730620576e-14 relative error = 4.086170718937278e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.158999999999763 y2[1] (analytic) = -0.01740646730671994 y2[1] (numeric) = -0.0174064673070381 absolute error = 3.181621632819542e-13 relative error = 1.827838800806667e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9998484959712147 y1[1] (numeric) = -0.9998484959711735 absolute error = 4.118927421359331e-14 relative error = 4.119551550015946e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.159999999999763 y2[1] (analytic) = -0.01840630693281671 y2[1] (numeric) = -0.01840630693313511 absolute error = 3.18405024568591e-13 relative error = 1.729869146107223e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9998305895826027 y1[1] (numeric) = -0.9998305895825612 absolute error = 4.152234112098085e-14 relative error = 4.152937663000999e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.160999999999763 y2[1] (analytic) = -0.01940612815260807 y2[1] (numeric) = -0.01940612815292673 absolute error = 3.186513553021797e-13 relative error = 1.642014073061528e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9998116833634845 y1[1] (numeric) = -0.9998116833634426 absolute error = 4.18554080283684e-14 relative error = 4.186329158263271e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.161999999999763 y2[1] (analytic) = -0.02040592996627291 y2[1] (numeric) = -0.0204059299665918 absolute error = 3.188942165888164e-13 relative error = 1.562752675893172e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9997917773327663 y1[1] (numeric) = -0.9997917773327241 absolute error = 4.218847493575595e-14 relative error = 4.219726136206672e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.162999999999763 y2[1] (analytic) = -0.02140571137400948 y2[1] (numeric) = -0.02140571137432862 absolute error = 3.191405473224052e-13 relative error = 1.490913064024124e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9997708715103539 y1[1] (numeric) = -0.9997708715103114 absolute error = 4.25215418431435e-14 relative error = 4.253128697269025e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.163999999999763 y2[1] (analytic) = -0.02240547137603646 y2[1] (numeric) = -0.02240547137635584 absolute error = 3.193834086090419e-13 relative error = 1.425470606035253e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9997489659171535 y1[1] (numeric) = -0.9997489659171106 absolute error = 4.285460875053104e-14 relative error = 4.286536941922908e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.164999999999762 y2[1] (analytic) = -0.02340520897259393 y2[1] (numeric) = -0.02340520897291355 absolute error = 3.196262698956787e-13 relative error = 1.365620235520826e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9997260605750703 y1[1] (numeric) = -0.9997260605750272 absolute error = 4.307665335545607e-14 relative error = 4.308845698258299e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.165999999999762 y2[1] (analytic) = -0.02440492316394437 y2[1] (numeric) = -0.02440492316426424 absolute error = 3.198691311823154e-13 relative error = 1.310674608698983e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.99970215550701 y1[1] (numeric) = -0.9997021555069665 absolute error = 4.352074256530614e-14 relative error = 4.353370884074378e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.166999999999762 y2[1] (analytic) = -0.02540461295037369 y2[1] (numeric) = -0.0254046129506938 absolute error = 3.201154619159041e-13 relative error = 1.260068250365512e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9996772507368774 y1[1] (numeric) = -0.9996772507368337 absolute error = 4.374278717023117e-14 relative error = 4.37569096805871e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.167999999999762 y2[1] (analytic) = -0.02640427733219217 y2[1] (numeric) = -0.02640427733251253 absolute error = 3.203583232025409e-13 relative error = 1.213281920849843e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9996513462895774 y1[1] (numeric) = -0.9996513462895333 absolute error = 4.407585407761871e-14 relative error = 4.409122664738641e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.168999999999762 y2[1] (analytic) = -0.02740391530973553 y2[1] (numeric) = -0.02740391531005613 absolute error = 3.206011844891776e-13 relative error = 1.169910141910564e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9996244421910144 y1[1] (numeric) = -0.99962444219097 absolute error = 4.440892098500626e-14 relative error = 4.442560536802113e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.169999999999762 y2[1] (analytic) = -0.02840352588336585 y2[1] (numeric) = -0.0284035258836867 absolute error = 3.208440457758144e-13 relative error = 1.129592315733282e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9995965384680926 y1[1] (numeric) = -0.9995965384680479 absolute error = 4.474198789239381e-14 relative error = 4.476004684946394e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.170999999999762 y2[1] (analytic) = -0.02940310805347266 y2[1] (numeric) = -0.02940310805379375 absolute error = 3.210869070624511e-13 relative error = 1.092016893175105e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9995676351487156 y1[1] (numeric) = -0.9995676351486705 absolute error = 4.507505479978136e-14 relative error = 4.509455209909342e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.171999999999762 y2[1] (analytic) = -0.03040266082047387 y2[1] (numeric) = -0.0304026608207952 absolute error = 3.213297683490879e-13 relative error = 1.056913308497975e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9995377322617867 y1[1] (numeric) = -0.9995377322617414 absolute error = 4.529709940470639e-14 relative error = 4.531804847647585e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.172999999999762 y2[1] (analytic) = -0.03140218318481679 y2[1] (numeric) = -0.03140218318513836 absolute error = 3.215760990826766e-13 relative error = 1.024056503301214e-09 % Correct digits = 10 h = 0.001 y1[1] (analytic) = -0.9995068298372088 y1[1] (numeric) = -0.9995068298371632 absolute error = 4.563016631209393e-14 relative error = 4.565268085214164e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.173999999999761 y2[1] (analytic) = -0.03240167414697914 y2[1] (numeric) = -0.03240167414730095 absolute error = 3.218120214754094e-13 relative error = 9.931956602477358e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9994749279058844 y1[1] (numeric) = -0.9994749279058385 absolute error = 4.596323321948148e-14 relative error = 4.598737990935337e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.174999999999761 y2[1] (analytic) = -0.03340113270747004 y2[1] (numeric) = -0.0334011327077921 absolute error = 3.220618216559501e-13 relative error = 9.642242509456038e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9994420264997155 y1[1] (numeric) = -0.9994420264996692 absolute error = 4.629630012686903e-14 relative error = 4.632214665718003e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.175999999999761 y2[1] (analytic) = -0.03440055786683102 y2[1] (numeric) = -0.03440055786715333 absolute error = 3.223046829425869e-13 relative error = 9.36917023817665e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9994081256516033 y1[1] (numeric) = -0.9994081256515567 absolute error = 4.662936703425657e-14 relative error = 4.665698210513821e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.176999999999761 y2[1] (analytic) = -0.03539994862563701 y2[1] (numeric) = -0.03539994862595955 absolute error = 3.225406053353197e-13 relative error = 9.11132975774243e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9993732253954487 y1[1] (numeric) = -0.9993732253954017 absolute error = 4.696243394164412e-14 relative error = 4.699188726320063e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.177999999999761 y2[1] (analytic) = -0.03639930398449731 y2[1] (numeric) = -0.03639930398482009 absolute error = 3.227834666219564e-13 relative error = 8.867847219260894e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.999337325766152 y1[1] (numeric) = -0.9993373257661047 absolute error = 4.729550084903167e-14 relative error = 4.73268631418046e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.178999999999761 y2[1] (analytic) = -0.03739862294405667 y2[1] (numeric) = -0.03739862294437969 absolute error = 3.230263279085932e-13 relative error = 8.637385616892829e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9993004267996128 y1[1] (numeric) = -0.9993004267995652 absolute error = 4.762856775641922e-14 relative error = 4.766191075186046e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.179999999999761 y2[1] (analytic) = -0.03839790450499619 y2[1] (numeric) = -0.03839790450531946 absolute error = 3.232761280891339e-13 relative error = 8.419108601279802e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9992625285327301 y1[1] (numeric) = -0.9992625285326822 absolute error = 4.796163466380676e-14 relative error = 4.799703110476019e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.180999999999761 y2[1] (analytic) = -0.03939714766803441 y2[1] (numeric) = -0.03939714766835792 absolute error = 3.235120504818667e-13 relative error = 8.211560217704645e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9992236310034021 y1[1] (numeric) = -0.9992236310033539 absolute error = 4.818367926873179e-14 relative error = 4.822111664867916e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.181999999999761 y2[1] (analytic) = -0.04039635143392824 y2[1] (numeric) = -0.04039635143425201 absolute error = 3.237618506624074e-13 relative error = 8.014631004286318e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9991837342505264 y1[1] (numeric) = -0.9991837342504778 absolute error = 4.862776847858186e-14 relative error = 4.866749408711788e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18299999999976 y2[1] (analytic) = -0.04139551480347402 y2[1] (numeric) = -0.04139551480379802 absolute error = 3.239977730551402e-13 relative error = 7.826881114858113e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9991428383139997 y1[1] (numeric) = -0.9991428383139508 absolute error = 4.89608353859694e-14 relative error = 4.900283874184416e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18399999999976 y2[1] (analytic) = -0.04239463677750843 y2[1] (numeric) = -0.04239463677783267 absolute error = 3.24240634341777e-13 relative error = 7.648152195369106e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.999100943234718 y1[1] (numeric) = -0.9991009432346687 absolute error = 4.929390229335695e-14 relative error = 4.933826018996798e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18499999999976 y2[1] (analytic) = -0.0433937163569096 y2[1] (numeric) = -0.04339371635723409 absolute error = 3.244904345223176e-13 relative error = 7.477820794453548e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9990580490545763 y1[1] (numeric) = -0.9990580490545267 absolute error = 4.96269692007445e-14 relative error = 4.967375944541685e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18599999999976 y2[1] (analytic) = -0.04439275254259803 y2[1] (numeric) = -0.04439275254292276 absolute error = 3.247332958089544e-13 relative error = 7.315007004743612e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9990141558164687 y1[1] (numeric) = -0.9990141558164188 absolute error = 4.984901380566953e-14 relative error = 4.989820566148956e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18699999999976 y2[1] (analytic) = -0.04539174433553762 y2[1] (numeric) = -0.04539174433586259 absolute error = 3.249761570955911e-13 relative error = 7.159367013819831e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9989692635642886 y1[1] (numeric) = -0.9989692635642384 absolute error = 5.018208071305708e-14 relative error = 5.02338585814033e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18799999999976 y2[1] (analytic) = -0.04639069073673665 y2[1] (numeric) = -0.04639069073706187 absolute error = 3.252190183822279e-13 relative error = 7.010437077296802e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9989233723429283 y1[1] (numeric) = -0.9989233723428776 absolute error = 5.062616992290714e-14 relative error = 5.068073420303082e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18899999999976 y2[1] (analytic) = -0.04738959074724881 y2[1] (numeric) = -0.04738959074757428 absolute error = 3.254618796688646e-13 relative error = 6.867792579275634e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9988764821982787 y1[1] (numeric) = -0.9988764821982278 absolute error = 5.095923683029469e-14 relative error = 5.101655483783748e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18999999999976 y2[1] (analytic) = -0.04838844336817417 y2[1] (numeric) = -0.04838844336849988 absolute error = 3.257047409555014e-13 relative error = 6.731043990758389e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9988285931772303 y1[1] (numeric) = -0.998828593177179 absolute error = 5.129230373768223e-14 relative error = 5.135245835776852e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.19099999999976 y2[1] (analytic) = -0.0493872476006602 y2[1] (numeric) = -0.04938724760098615 absolute error = 3.259476022421381e-13 relative error = 6.599833318870374e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9987797053276719 y1[1] (numeric) = -0.9987797053276203 absolute error = 5.162537064506978e-14 relative error = 5.168844578007613e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.191999999999759 y2[1] (analytic) = -0.05038600244590275 y2[1] (numeric) = -0.05038600244622893 absolute error = 3.26183524634871e-13 relative error = 6.473693264018712e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9987298186984914 y1[1] (numeric) = -0.9987298186984395 absolute error = 5.195843755245733e-14 relative error = 5.202451812259665e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.192999999999759 y2[1] (analytic) = -0.05138470690514704 y2[1] (numeric) = -0.05138470690547347 absolute error = 3.264263859215077e-13 relative error = 6.352597992318423e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9986789333395755 y1[1] (numeric) = -0.9986789333395232 absolute error = 5.229150445984487e-14 relative error = 5.236067640375915e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.193999999999759 y2[1] (analytic) = -0.05238335997968872 y2[1] (numeric) = -0.05238335998001539 absolute error = 3.266692472081445e-13 relative error = 6.236126268624392e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9986270493018093 y1[1] (numeric) = -0.9986270493017567 absolute error = 5.262457136723242e-14 relative error = 5.269692164259412e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.194999999999759 y2[1] (analytic) = -0.05338196067087478 y2[1] (numeric) = -0.05338196067120168 absolute error = 3.269051696008773e-13 relative error = 6.12388839773802e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9985741666370772 y1[1] (numeric) = -0.9985741666370243 absolute error = 5.295763827461997e-14 relative error = 5.303325485874195e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.195999999999759 y2[1] (analytic) = -0.05438050798010461 y2[1] (numeric) = -0.05438050798043176 absolute error = 3.271480308875141e-13 relative error = 6.015906122230467e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9985202853982615 y1[1] (numeric) = -0.9985202853982084 absolute error = 5.3179682879545e-14 relative error = 5.325849024522741e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.196999999999759 y2[1] (analytic) = -0.055379000908831 y2[1] (numeric) = -0.05537900090915839 absolute error = 3.273839532802469e-13 relative error = 5.911698439977467e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9984654056392438 y1[1] (numeric) = -0.9984654056391903 absolute error = 5.351274978693255e-14 relative error = 5.359499636612075e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.197999999999759 y2[1] (analytic) = -0.05637743845856109 y2[1] (numeric) = -0.05637743845888872 absolute error = 3.276268145668837e-13 relative error = 5.811310757009616e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9984095274149036 y1[1] (numeric) = -0.9984095274148498 absolute error = 5.384581669432009e-14 relative error = 5.39315934151174e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.198999999999759 y2[1] (analytic) = -0.05737581963085743 y2[1] (numeric) = -0.05737581963118529 absolute error = 3.278627369596165e-13 relative error = 5.714301583297782e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9983526507811192 y1[1] (numeric) = -0.9983526507810651 absolute error = 5.417888360170764e-14 relative error = 5.426828241435292e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.199999999999759 y2[1] (analytic) = -0.05837414342733891 y2[1] (numeric) = -0.05837414342766702 absolute error = 3.281055982462533e-13 relative error = 5.620735123157088e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9982947757947672 y1[1] (numeric) = -0.9982947757947127 absolute error = 5.451195050909519e-14 relative error = 5.460506438661554e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.200999999999758 y2[1] (analytic) = -0.05937240884968183 y2[1] (numeric) = -0.05937240885001017 absolute error = 3.283415206389861e-13 relative error = 5.530203793318816e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9982359025137225 y1[1] (numeric) = -0.9982359025136678 absolute error = 5.473399511402022e-14 relative error = 5.483072185261119e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.201999999999758 y2[1] (analytic) = -0.06037061489962085 y2[1] (numeric) = -0.06037061489994944 absolute error = 3.285843819256229e-13 relative error = 5.44278673443968e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9981760309968586 y1[1] (numeric) = -0.9981760309968035 absolute error = 5.506706202140776e-14 relative error = 5.516768617095862e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.202999999999758 y2[1] (analytic) = -0.06136876057895001 y2[1] (numeric) = -0.06136876057927883 absolute error = 3.288203043183557e-13 relative error = 5.358105674878887e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9981151613040469 y1[1] (numeric) = -0.9981151613039915 absolute error = 5.540012892879531e-14 relative error = 5.550474642266181e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.203999999999758 y2[1] (analytic) = -0.06236684488952369 y2[1] (numeric) = -0.06236684488985275 absolute error = 3.290631656049925e-13 relative error = 5.276251607531105e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.998053293496157 y1[1] (numeric) = -0.9980532934961013 absolute error = 5.573319583618286e-14 relative error = 5.584190363317253e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.204999999999758 y2[1] (analytic) = -0.06336486683325769 y2[1] (numeric) = -0.06336486683358698 absolute error = 3.292921491038214e-13 relative error = 5.196762268440358e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9979904276350567 y1[1] (numeric) = -0.9979904276350008 absolute error = 5.595524044110789e-14 relative error = 5.606791296957158e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.205999999999758 y2[1] (analytic) = -0.06436282541213012 y2[1] (numeric) = -0.06436282541245966 absolute error = 3.295419492843621e-13 relative error = 5.120066547331141e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9979265637836121 y1[1] (numeric) = -0.9979265637835558 absolute error = 5.628830734849544e-14 relative error = 5.640526005749342e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.206999999999758 y2[1] (analytic) = -0.06536071962818252 y2[1] (numeric) = -0.0653607196285123 absolute error = 3.297778716770949e-13 relative error = 5.045505520029494e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9978617020056868 y1[1] (numeric) = -0.9978617020056302 absolute error = 5.662137425588298e-14 relative error = 5.674270707260824e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.207999999999758 y2[1] (analytic) = -0.06635854848352073 y2[1] (numeric) = -0.06635854848385074 absolute error = 3.300137940698278e-13 relative error = 4.973191873715899e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9977958423661427 y1[1] (numeric) = -0.9977958423660857 absolute error = 5.706546346573305e-14 relative error = 5.719152259685683e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.208999999999758 y2[1] (analytic) = -0.06735631098031598 y2[1] (numeric) = -0.06735631098064623 absolute error = 3.302497164625606e-13 relative error = 4.90302559115911e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9977289849308393 y1[1] (numeric) = -0.997728984930782 absolute error = 5.728750807065808e-14 relative error = 5.741790499814851e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.209999999999757 y2[1] (analytic) = -0.06835400612080587 y2[1] (numeric) = -0.06835400612113636 absolute error = 3.304856388552935e-13 relative error = 4.834912503463332e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9976611297666341 y1[1] (numeric) = -0.9976611297665765 absolute error = 5.762057497804562e-14 relative error = 5.775565796727374e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.210999999999757 y2[1] (analytic) = -0.06935163290729535 y2[1] (numeric) = -0.06935163290762607 absolute error = 3.307215612480263e-13 relative error = 4.768763868763017e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9975922769413824 y1[1] (numeric) = -0.9975922769413244 absolute error = 5.806466418789569e-14 relative error = 5.82048052395934e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.211999999999757 y2[1] (analytic) = -0.07034919034215768 y2[1] (numeric) = -0.07034919034248864 absolute error = 3.309574836407592e-13 relative error = 4.704495986820598e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9975224265239367 y1[1] (numeric) = -0.9975224265238785 absolute error = 5.828670879282072e-14 relative error = 5.843147707057798e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.212999999999757 y2[1] (analytic) = -0.07134667742783554 y2[1] (numeric) = -0.07134667742816674 absolute error = 3.31193406033492e-13 relative error = 4.642029846007638e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9974515785841478 y1[1] (numeric) = -0.9974515785840892 absolute error = 5.861977570020827e-14 relative error = 5.876954526796905e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.213999999999757 y2[1] (analytic) = -0.07234409316684191 y2[1] (numeric) = -0.07234409316717336 absolute error = 3.314432062140327e-13 relative error = 4.581482629820922e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9973797331928633 y1[1] (numeric) = -0.9973797331928044 absolute error = 5.895284260759581e-14 relative error = 5.910772060594508e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.214999999999757 y2[1] (analytic) = -0.07334143656176115 y2[1] (numeric) = -0.07334143656209283 absolute error = 3.316791286067655e-13 relative error = 4.522397489820875e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9973068904219289 y1[1] (numeric) = -0.9973068904218695 absolute error = 5.939693181744587e-14 relative error = 5.955732622314172e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.215999999999757 y2[1] (analytic) = -0.07433870661524994 y2[1] (numeric) = -0.07433870661558185 absolute error = 3.319150509994984e-13 relative error = 4.464902150065238e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.997233050344187 y1[1] (numeric) = -0.9972330503441273 absolute error = 5.961897642237091e-14 relative error = 5.978439683862654e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.216999999999757 y2[1] (analytic) = -0.0753359023300383 y2[1] (numeric) = -0.07533590233037046 absolute error = 3.32164851180039e-13 relative error = 4.409117577497929e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.997158213033478 y1[1] (numeric) = -0.9971582130334179 absolute error = 6.006306563222097e-14 relative error = 6.023423850614612e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.217999999999757 y2[1] (analytic) = -0.07633302270893062 y2[1] (numeric) = -0.07633302270926302 absolute error = 3.324007735727719e-13 relative error = 4.354613007272964e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9970823785646389 y1[1] (numeric) = -0.9970823785645785 absolute error = 6.039613253960852e-14 relative error = 6.057286121789901e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.218999999999757 y2[1] (analytic) = -0.07733006675480658 y2[1] (numeric) = -0.07733006675513923 absolute error = 3.326505737533125e-13 relative error = 4.301697744656817e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9970055470135044 y1[1] (numeric) = -0.9970055470134437 absolute error = 6.072919944699606e-14 relative error = 6.091159635862436e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.219999999999756 y2[1] (analytic) = -0.07832703347062224 y2[1] (numeric) = -0.07832703347095513 absolute error = 3.328864961460454e-13 relative error = 4.249956641992571e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.996927718456906 y1[1] (numeric) = -0.9969277184568449 absolute error = 6.106226635438361e-14 relative error = 6.125044496595882e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.220999999999756 y2[1] (analytic) = -0.07932392185941095 y2[1] (numeric) = -0.07932392185974407 absolute error = 3.331224185387782e-13 relative error = 4.199520280013194e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9968488929726722 y1[1] (numeric) = -0.9968488929726108 absolute error = 6.139533326177116e-14 relative error = 6.158940807837588e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.221999999999756 y2[1] (analytic) = -0.08032073092428442 y2[1] (numeric) = -0.08032073092461778 absolute error = 3.333583409315111e-13 relative error = 4.15033998191272e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9967690706396285 y1[1] (numeric) = -0.9967690706395668 absolute error = 6.17284001691587e-14 relative error = 6.192848673519482e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.222999999999756 y2[1] (analytic) = -0.08131745966843365 y2[1] (numeric) = -0.08131745966876724 absolute error = 3.335942633242439e-13 relative error = 4.102369462652321e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9966882515375972 y1[1] (numeric) = -0.9966882515375352 absolute error = 6.206146707654625e-14 relative error = 6.22676819765896e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.223999999999756 y2[1] (analytic) = -0.08231410709513 y2[1] (numeric) = -0.08231410709546383 absolute error = 3.338301857169768e-13 relative error = 4.055564683841749e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9966064357473975 y1[1] (numeric) = -0.9966064357473351 absolute error = 6.23945339839338e-14 relative error = 6.26069948435979e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.224999999999756 y2[1] (analytic) = -0.0833106722077261 y2[1] (numeric) = -0.08331067220806017 absolute error = 3.340661081097096e-13 relative error = 4.009883719060051e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.996523623350845 y1[1] (numeric) = -0.9965236233507823 absolute error = 6.272760089132134e-14 relative error = 6.294642637813003e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.225999999999756 y2[1] (analytic) = -0.08430715400965694 y2[1] (numeric) = -0.08430715400999125 absolute error = 3.343159082902503e-13 relative error = 3.965451238597808e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9964398144307522 y1[1] (numeric) = -0.9964398144306892 absolute error = 6.306066779870889e-14 relative error = 6.328597762297796e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.226999999999756 y2[1] (analytic) = -0.0853035515044408 y2[1] (numeric) = -0.08530355150477535 absolute error = 3.345518306829831e-13 relative error = 3.921898031004802e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9963550090709281 y1[1] (numeric) = -0.9963550090708647 absolute error = 6.339373470609644e-14 relative error = 6.36256496218243e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.227999999999756 y2[1] (analytic) = -0.08629986369568025 y2[1] (numeric) = -0.08629986369601506 absolute error = 3.348016308635238e-13 relative error = 3.879515175645431e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9962692073561779 y1[1] (numeric) = -0.9962692073561141 absolute error = 6.372680161348399e-14 relative error = 6.396544341925135e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.228999999999755 y2[1] (analytic) = -0.08729608958706321 y2[1] (numeric) = -0.08729608958739825 absolute error = 3.350375532562566e-13 relative error = 3.837944572787683e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9961824093723034 y1[1] (numeric) = -0.9961824093722392 absolute error = 6.417089082333405e-14 relative error = 6.441680782515349e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.229999999999755 y2[1] (analytic) = -0.08829222818236386 y2[1] (numeric) = -0.08829222818269913 absolute error = 3.352734756489895e-13 relative error = 3.797315828936793e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9960946152061025 y1[1] (numeric) = -0.996094615206038 absolute error = 6.450395773072159e-14 relative error = 6.475685817995818e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.230999999999755 y2[1] (analytic) = -0.08928827848544367 y2[1] (numeric) = -0.08928827848577919 absolute error = 3.355232758295301e-13 relative error = 3.757752770250008e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9960058249453694 y1[1] (numeric) = -0.9960058249453047 absolute error = 6.472600233564663e-14 relative error = 6.498556606252461e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.231999999999755 y2[1] (analytic) = -0.09028423950025245 y2[1] (numeric) = -0.09028423950058821 absolute error = 3.35759198222263e-13 relative error = 3.718912626176844e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9959160386788943 y1[1] (numeric) = -0.9959160386788293 absolute error = 6.505906924303417e-14 relative error = 6.532585751840741e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.232999999999755 y2[1] (analytic) = -0.09128011023082926 y2[1] (numeric) = -0.09128011023116525 absolute error = 3.359951206149958e-13 relative error = 3.680923694826079e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9958252564964637 y1[1] (numeric) = -0.9958252564963982 absolute error = 6.550315845288424e-14 relative error = 6.57777637447548e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.233999999999755 y2[1] (analytic) = -0.09227588968130343 y2[1] (numeric) = -0.09227588968163966 absolute error = 3.362310430077287e-13 relative error = 3.643758344340888e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9957334784888594 y1[1] (numeric) = -0.9957334784887937 absolute error = 6.572520305780927e-14 relative error = 6.600682258625556e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.234999999999755 y2[1] (analytic) = -0.09327157685589561 y2[1] (numeric) = -0.09327157685623208 absolute error = 3.364669654004615e-13 relative error = 3.607390126150673e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9956407047478597 y1[1] (numeric) = -0.9956407047477936 absolute error = 6.605826996519681e-14 relative error = 6.634749829952532e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.235999999999755 y2[1] (analytic) = -0.0942671707589187 y2[1] (numeric) = -0.09426717075925542 absolute error = 3.367167655810022e-13 relative error = 3.5719409299143e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9955469353662382 y1[1] (numeric) = -0.9955469353661718 absolute error = 6.639133687258436e-14 relative error = 6.668830420150965e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.236999999999755 y2[1] (analytic) = -0.0952626703947789 y2[1] (numeric) = -0.09526267039511585 absolute error = 3.36952687973735e-13 relative error = 3.537090515911073e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9954521704377642 y1[1] (numeric) = -0.9954521704376975 absolute error = 6.672440377997191e-14 relative error = 6.702924134529629e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.237999999999754 y2[1] (analytic) = -0.09625807476797664 y2[1] (numeric) = -0.09625807476831383 absolute error = 3.371886103664679e-13 relative error = 3.502964412899774e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9953564100572029 y1[1] (numeric) = -0.9953564100571358 absolute error = 6.705747068735946e-14 relative error = 6.737031078496363e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.238999999999754 y2[1] (analytic) = -0.09725338288310763 y2[1] (numeric) = -0.09725338288344505 absolute error = 3.374245327592007e-13 relative error = 3.469540315782779e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9952596543203144 y1[1] (numeric) = -0.995259654320247 absolute error = 6.7390537594747e-14 relative error = 6.771151357559002e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.239999999999754 y2[1] (analytic) = -0.09824859374486385 y2[1] (numeric) = -0.09824859374520151 absolute error = 3.376604551519335e-13 relative error = 3.436796826108114e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9951619033238545 y1[1] (numeric) = -0.9951619033237867 absolute error = 6.772360450213455e-14 relative error = 6.80528507732629e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.240999999999754 y2[1] (analytic) = -0.09924370635803451 y2[1] (numeric) = -0.0992437063583724 absolute error = 3.378963775446664e-13 relative error = 3.40471340646692e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9950631571655743 y1[1] (numeric) = -0.9950631571655061 absolute error = 6.816769371198461e-14 relative error = 6.850589655651556e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.241999999999754 y2[1] (analytic) = -0.1002387197275071 y2[1] (numeric) = -0.1002387197278452 absolute error = 3.381322999373992e-13 relative error = 3.373270337615959e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9949634159442197 y1[1] (numeric) = -0.9949634159441512 absolute error = 6.850076061937216e-14 relative error = 6.884751692539869e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.242999999999754 y2[1] (analytic) = -0.1012336328582683 y2[1] (numeric) = -0.1012336328586066 absolute error = 3.383682223301321e-13 relative error = 3.342448678137068e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9948626797595321 y1[1] (numeric) = -0.9948626797594633 absolute error = 6.883382752675971e-14 relative error = 6.918927498958701e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.243999999999754 y2[1] (analytic) = -0.102228444755405 y2[1] (numeric) = -0.1022284447557436 absolute error = 3.385902669350571e-13 relative error = 3.312094473756093e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9947609487122477 y1[1] (numeric) = -0.9947609487121786 absolute error = 6.916689443414725e-14 relative error = 6.953117180935397e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.244999999999754 y2[1] (analytic) = -0.1032231544241056 y2[1] (numeric) = -0.1032231544244444 absolute error = 3.3882618932779e-13 relative error = 3.282463040566258e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9946582229040974 y1[1] (numeric) = -0.9946582229040279 absolute error = 6.94999613415348e-14 relative error = 6.987320844602902e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.245999999999754 y2[1] (analytic) = -0.1042177608696603 y2[1] (numeric) = -0.1042177608699994 absolute error = 3.390621117205228e-13 relative error = 3.253400465440532e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9945545024378072 y1[1] (numeric) = -0.9945545024377374 absolute error = 6.983302824892235e-14 relative error = 7.021538596200688e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.246999999999753 y2[1] (analytic) = -0.1052122630974628 y2[1] (numeric) = -0.1052122630978021 absolute error = 3.392980341132557e-13 relative error = 3.224890560513357e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9944497874170974 y1[1] (numeric) = -0.9944497874170272 absolute error = 7.027711745877241e-14 relative error = 7.06693473597138e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.247999999999753 y2[1] (analytic) = -0.106206660113011 y2[1] (numeric) = -0.1062066601133506 absolute error = 3.395339565059885e-13 relative error = 3.196917746445482e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9943440779466831 y1[1] (numeric) = -0.9943440779466125 absolute error = 7.061018436615996e-14 relative error = 7.101182169452824e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.248999999999753 y2[1] (analytic) = -0.107200950921908 y2[1] (numeric) = -0.1072009509222477 absolute error = 3.397560011109135e-13 relative error = 3.169337568268527e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9942373741322736 y1[1] (numeric) = -0.9942373741322027 absolute error = 7.09432512735475e-14 relative error = 7.135444021651634e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.249999999999753 y2[1] (analytic) = -0.1081951345298629 y2[1] (numeric) = -0.1081951345302029 absolute error = 3.399919235036464e-13 relative error = 3.142395681478683e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9941296760805729 y1[1] (numeric) = -0.9941296760805016 absolute error = 7.127631818093505e-14 relative error = 7.16972039924882e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.250999999999753 y2[1] (analytic) = -0.1091892099426924 y2[1] (numeric) = -0.1091892099430326 absolute error = 3.402278458963792e-13 relative error = 3.115947501359767e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.994020983899279 y1[1] (numeric) = -0.9940209838992073 absolute error = 7.16093850883226e-14 relative error = 7.204011409036668e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.251999999999753 y2[1] (analytic) = -0.1101831761663209 y2[1] (numeric) = -0.1101831761666614 absolute error = 3.404637682891121e-13 relative error = 3.089979615174496e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.993911297697084 y1[1] (numeric) = -0.993911297697012 absolute error = 7.194245199571014e-14 relative error = 7.238317157919676e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.252999999999753 y2[1] (analytic) = -0.1111770322067825 y2[1] (numeric) = -0.1111770322071232 absolute error = 3.406996906818449e-13 relative error = 3.064479091762084e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9938006175836741 y1[1] (numeric) = -0.9938006175836018 absolute error = 7.227551890309769e-14 relative error = 7.272637752915501e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.253999999999753 y2[1] (analytic) = -0.1121707770702212 y2[1] (numeric) = -0.1121707770705621 absolute error = 3.409217352867699e-13 relative error = 3.039309739945422e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9936889436697295 y1[1] (numeric) = -0.9936889436696569 absolute error = 7.260858581048524e-14 relative error = 7.306973301155902e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.254999999999753 y2[1] (analytic) = -0.1131644097628922 y2[1] (numeric) = -0.1131644097632333 absolute error = 3.411576576795028e-13 relative error = 3.01470805524735e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9935762760669239 y1[1] (numeric) = -0.9935762760668511 absolute error = 7.283063041541027e-14 relative error = 7.330149900892424e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.255999999999752 y2[1] (analytic) = -0.1141579292911628 y2[1] (numeric) = -0.1141579292915042 absolute error = 3.413935800722356e-13 relative error = 2.99053760165448e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9934626148879252 y1[1] (numeric) = -0.9934626148878519 absolute error = 7.327471962526033e-14 relative error = 7.375689686473669e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.256999999999752 y2[1] (analytic) = -0.1151513346615136 y2[1] (numeric) = -0.1151513346618552 absolute error = 3.416295024649685e-13 relative error = 2.966787171587594e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9933479602463943 y1[1] (numeric) = -0.9933479602463207 absolute error = 7.360778653264788e-14 relative error = 7.410070738393613e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.257999999999752 y2[1] (analytic) = -0.1161446248805394 y2[1] (numeric) = -0.1161446248808812 absolute error = 3.418654248577013e-13 relative error = 2.94344594258518e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9932323122569859 y1[1] (numeric) = -0.993232312256912 absolute error = 7.394085344003543e-14 relative error = 7.444467173245185e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.258999999999752 y2[1] (analytic) = -0.1171377989549499 y2[1] (numeric) = -0.117137798955292 absolute error = 3.421013472504342e-13 relative error = 2.920503460902514e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9931156710353481 y1[1] (numeric) = -0.9931156710352738 absolute error = 7.438494264988549e-14 relative error = 7.49005829022286e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.259999999999752 y2[1] (analytic) = -0.1181308558915713 y2[1] (numeric) = -0.1181308558919136 absolute error = 3.423233918553592e-13 relative error = 2.8978321478477e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.992998036698122 y1[1] (numeric) = -0.9929980366980473 absolute error = 7.471800955727304e-14 relative error = 7.524487138536791e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.260999999999752 y2[1] (analytic) = -0.1191237946973466 y2[1] (numeric) = -0.1191237946976892 absolute error = 3.425593142480921e-13 relative error = 2.875658176592004e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9928794093629419 y1[1] (numeric) = -0.9928794093628669 absolute error = 7.505107646466058e-14 relative error = 7.558931704789343e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.261999999999752 y2[1] (analytic) = -0.1201166143793372 y2[1] (numeric) = -0.12011661437968 absolute error = 3.427952366408249e-13 relative error = 2.853853635586598e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9927597891484352 y1[1] (numeric) = -0.9927597891483598 absolute error = 7.538414337204813e-14 relative error = 7.593392097066178e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.262999999999752 y2[1] (analytic) = -0.1211093139447234 y2[1] (numeric) = -0.1211093139450664 absolute error = 3.430311590335577e-13 relative error = 2.832409398257543e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9926391761742221 y1[1] (numeric) = -0.9926391761741463 absolute error = 7.582823258189819e-14 relative error = 7.639052981381552e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.263999999999752 y2[1] (analytic) = -0.1221018924008057 y2[1] (numeric) = -0.122101892401149 absolute error = 3.432670814262906e-13 relative error = 2.811316636268821e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9925175705609156 y1[1] (numeric) = -0.9925175705608394 absolute error = 7.616129948928574e-14 relative error = 7.673546720814586e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.264999999999751 y2[1] (analytic) = -0.1230943487550058 y2[1] (numeric) = -0.1230943487553493 absolute error = 3.435030038190234e-13 relative error = 2.790566807438871e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9923949724301212 y1[1] (numeric) = -0.9923949724300447 absolute error = 7.649436639667329e-14 relative error = 7.708056622793863e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.265999999999751 y2[1] (analytic) = -0.1240866820148674 y2[1] (numeric) = -0.1240866820152111 absolute error = 3.437250484239485e-13 relative error = 2.770039804777479e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9922713819044371 y1[1] (numeric) = -0.9922713819043603 absolute error = 7.682743330406083e-14 relative error = 7.742582795908939e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.266999999999751 y2[1] (analytic) = -0.1250788911880573 y2[1] (numeric) = -0.1250788911884013 absolute error = 3.439748486044891e-13 relative error = 2.750063142847338e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9921467991074537 y1[1] (numeric) = -0.9921467991073766 absolute error = 7.716050021144838e-14 relative error = 7.777125348876076e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.267999999999751 y2[1] (analytic) = -0.1260709752823665 y2[1] (numeric) = -0.1260709752827107 absolute error = 3.441968932094142e-13 relative error = 2.730183473543389e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9920212241637539 y1[1] (numeric) = -0.9920212241636764 absolute error = 7.749356711883593e-14 relative error = 7.811684390539207e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.268999999999751 y2[1] (analytic) = -0.1270629333057109 y2[1] (numeric) = -0.1270629333060553 absolute error = 3.444189378143392e-13 relative error = 2.710616927012648e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9918946571989127 y1[1] (numeric) = -0.9918946571988349 absolute error = 7.782663402622347e-14 relative error = 7.84626002987092e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.269999999999751 y2[1] (analytic) = -0.1280547642661326 y2[1] (numeric) = -0.1280547642664772 absolute error = 3.446409824192642e-13 relative error = 2.691356189629982e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9917670983394968 y1[1] (numeric) = -0.9917670983394187 absolute error = 7.815970093361102e-14 relative error = 7.880852375973435e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.270999999999751 y2[1] (analytic) = -0.1290464671718007 y2[1] (numeric) = -0.1290464671721455 absolute error = 3.448630270241893e-13 relative error = 2.672394173837166e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9916385477130654 y1[1] (numeric) = -0.9916385477129868 absolute error = 7.860379014346108e-14 relative error = 7.926657381839235e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.271999999999751 y2[1] (analytic) = -0.1300380410310123 y2[1] (numeric) = -0.1300380410313574 absolute error = 3.451128272047299e-13 relative error = 2.653937451444883e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9915090054481688 y1[1] (numeric) = -0.9915090054480898 absolute error = 7.893685705084863e-14 relative error = 7.961284932068633e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.272999999999751 y2[1] (analytic) = -0.1310294848521938 y2[1] (numeric) = -0.1310294848525392 absolute error = 3.453348718096549e-13 relative error = 2.635550862458214e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9913784716743493 y1[1] (numeric) = -0.9913784716742701 absolute error = 7.926992395823618e-14 relative error = 7.995929528745605e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27399999999975 y2[1] (analytic) = -0.1320207976439013 y2[1] (numeric) = -0.1320207976442469 absolute error = 3.455846719901956e-13 relative error = 2.617653264922231e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9912469465221408 y1[1] (numeric) = -0.9912469465220612 absolute error = 7.960299086562372e-14 relative error = 8.030591281508244e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27499999999975 y2[1] (analytic) = -0.1330119784148222 y2[1] (numeric) = -0.133011978415168 absolute error = 3.458067165951206e-13 relative error = 2.59981635275478e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9911144301230685 y1[1] (numeric) = -0.9911144301229885 absolute error = 8.004708007547379e-14 relative error = 8.076472064435001e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27599999999975 y2[1] (analytic) = -0.1340030261737758 y2[1] (numeric) = -0.1340030261741218 absolute error = 3.460287612000457e-13 relative error = 2.582245872203765e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9909809226096487 y1[1] (numeric) = -0.9909809226095683 absolute error = 8.038014698286133e-14 relative error = 8.111169967953399e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27699999999975 y2[1] (analytic) = -0.1349939399297144 y2[1] (numeric) = -0.1349939399300606 absolute error = 3.462508058049707e-13 relative error = 2.564935922199536e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9908464241153887 y1[1] (numeric) = -0.990846424115308 absolute error = 8.071321389024888e-14 relative error = 8.145885368896426e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27799999999975 y2[1] (analytic) = -0.1359847186917242 y2[1] (numeric) = -0.1359847186920707 absolute error = 3.465006059855114e-13 relative error = 2.548084882765571e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9907109347747872 y1[1] (numeric) = -0.9907109347747062 absolute error = 8.104628079763643e-14 relative error = 8.18061837745439e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27899999999975 y2[1] (analytic) = -0.1369753614690268 y2[1] (numeric) = -0.1369753614693735 absolute error = 3.467226505904364e-13 relative error = 2.53127750036154e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9905744547233335 y1[1] (numeric) = -0.9905744547232521 absolute error = 8.137934770502397e-14 relative error = 8.215369103956265e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27999999999975 y2[1] (analytic) = -0.1379658672709792 y2[1] (numeric) = -0.1379658672713262 absolute error = 3.469446951953614e-13 relative error = 2.514713980044979e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9904369840975076 y1[1] (numeric) = -0.9904369840974259 absolute error = 8.171241461241152e-14 relative error = 8.250137658870684e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.28099999999975 y2[1] (analytic) = -0.1389562351070759 y2[1] (numeric) = -0.1389562351074231 absolute error = 3.471944953759021e-13 relative error = 2.49858881905057e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9902985230347802 y1[1] (numeric) = -0.9902985230346981 absolute error = 8.204548151979907e-14 relative error = 8.284924152806957e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.28199999999975 y2[1] (analytic) = -0.1399464639869491 y2[1] (numeric) = -0.1399464639872965 absolute error = 3.474442955564427e-13 relative error = 2.482694350811494e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9901590716736123 y1[1] (numeric) = -0.9901590716735298 absolute error = 8.248957072964913e-14 relative error = 8.33094126888334e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.282999999999749 y2[1] (analytic) = -0.1409365529203699 y2[1] (numeric) = -0.1409365529207176 absolute error = 3.476663401613678e-13 relative error = 2.466828746392013e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9900186301534551 y1[1] (numeric) = -0.9900186301533723 absolute error = 8.282263763703668e-14 relative error = 8.365765563845902e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.283999999999749 y2[1] (analytic) = -0.1419265009172496 y2[1] (numeric) = -0.1419265009175975 absolute error = 3.479161403419084e-13 relative error = 2.451382497936459e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9898771986147503 y1[1] (numeric) = -0.9898771986146672 absolute error = 8.315570454442422e-14 relative error = 8.400608142181032e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.284999999999749 y2[1] (analytic) = -0.1429163069876401 y2[1] (numeric) = -0.1429163069879883 absolute error = 3.481659405224491e-13 relative error = 2.436152653682547e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9897347771989294 y1[1] (numeric) = -0.9897347771988459 absolute error = 8.348877145181177e-14 relative error = 8.435469115079014e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.285999999999749 y2[1] (analytic) = -0.1439059701417356 y2[1] (numeric) = -0.143905970142084 absolute error = 3.483602295517585e-13 relative error = 2.420748973851829e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9895913660484139 y1[1] (numeric) = -0.98959136604833 absolute error = 8.393286066166183e-14 relative error = 8.481567598636019e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.286999999999749 y2[1] (analytic) = -0.144895489389873 y2[1] (numeric) = -0.1448954893902216 absolute error = 3.485822741566835e-13 relative error = 2.405749658767822e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9894469653066147 y1[1] (numeric) = -0.9894469653065304 absolute error = 8.426592756904938e-14 relative error = 8.516467332125947e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.287999999999749 y2[1] (analytic) = -0.145884863742533 y2[1] (numeric) = -0.1458848637428818 absolute error = 3.488043187616086e-13 relative error = 2.390956195271915e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9893015751179327 y1[1] (numeric) = -0.989301575117848 absolute error = 8.471001677889944e-14 relative error = 8.562608097414717e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.288999999999749 y2[1] (analytic) = -0.1468740922103415 y2[1] (numeric) = -0.1468740922106905 absolute error = 3.490263633665336e-13 relative error = 2.376364395612302e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.989155195627758 y1[1] (numeric) = -0.989155195627673 absolute error = 8.504308368628699e-14 relative error = 8.597547084844982e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.289999999999749 y2[1] (analytic) = -0.1478631738040699 y2[1] (numeric) = -0.1478631738044192 absolute error = 3.492761635470742e-13 relative error = 2.362157896122885e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.98900782698247 y1[1] (numeric) = -0.9890078269823847 absolute error = 8.537615059367454e-14 relative error = 8.632505048434548e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.290999999999749 y2[1] (analytic) = -0.1488521075346369 y2[1] (numeric) = -0.1488521075349864 absolute error = 3.494982081519993e-13 relative error = 2.347956061493274e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9888594693294376 y1[1] (numeric) = -0.9888594693293518 absolute error = 8.58202398035246e-14 relative error = 8.678709408700992e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.291999999999748 y2[1] (analytic) = -0.1498408924131088 y2[1] (numeric) = -0.1498408924134585 absolute error = 3.497202527569243e-13 relative error = 2.333944006371449e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9887101228170182 y1[1] (numeric) = -0.988710122816932 absolute error = 8.615330671091215e-14 relative error = 8.713707356959735e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.292999999999748 y2[1] (analytic) = -0.1508295274507007 y2[1] (numeric) = -0.1508295274510507 absolute error = 3.499422973618493e-13 relative error = 2.320117972100851e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9885597875945583 y1[1] (numeric) = -0.9885597875944718 absolute error = 8.648637361829969e-14 relative error = 8.74872462987243e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.293999999999748 y2[1] (analytic) = -0.1518180116587778 y2[1] (numeric) = -0.1518180116591279 absolute error = 3.5019209754239e-13 relative error = 2.306657120035749e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9884084638123933 y1[1] (numeric) = -0.9884084638123064 absolute error = 8.693046282814976e-14 relative error = 8.794993771385769e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.294999999999748 y2[1] (analytic) = -0.1528063440488558 y2[1] (numeric) = -0.1528063440492062 absolute error = 3.504418977229307e-13 relative error = 2.293372699309435e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9882561516218469 y1[1] (numeric) = -0.9882561516217595 absolute error = 8.737455203799982e-14 relative error = 8.841285925173114e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.295999999999748 y2[1] (analytic) = -0.1537945236326025 y2[1] (numeric) = -0.1537945236329532 absolute error = 3.506361867522401e-13 relative error = 2.279900340208925e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9881028511752311 y1[1] (numeric) = -0.9881028511751434 absolute error = 8.770761894538737e-14 relative error = 8.876365333939636e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.296999999999748 y2[1] (analytic) = -0.1547825494218384 y2[1] (numeric) = -0.1547825494221893 absolute error = 3.508859869327807e-13 relative error = 2.266960896066452e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9879485626258465 y1[1] (numeric) = -0.9879485626257585 absolute error = 8.804068585277491e-14 relative error = 8.911464542118825e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.297999999999748 y2[1] (analytic) = -0.1557704204285378 y2[1] (numeric) = -0.1557704204288889 absolute error = 3.511080315377058e-13 relative error = 2.254009654540171e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9877932861279817 y1[1] (numeric) = -0.9877932861278932 absolute error = 8.848477506262498e-14 relative error = 8.957823089633817e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.298999999999748 y2[1] (analytic) = -0.1567581356648298 y2[1] (numeric) = -0.1567581356651811 absolute error = 3.513578317182464e-13 relative error = 2.241400934172229e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9876370218369129 y1[1] (numeric) = -0.9876370218368241 absolute error = 8.881784197001252e-14 relative error = 8.992964014736872e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.299999999999748 y2[1] (analytic) = -0.1577456941429991 y2[1] (numeric) = -0.1577456941433507 absolute error = 3.515521207475558e-13 relative error = 2.228600423342573e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9874797699089047 y1[1] (numeric) = -0.9874797699088155 absolute error = 8.926193117986259e-14 relative error = 9.039368086304899e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.300999999999747 y2[1] (analytic) = -0.1587330948754875 y2[1] (numeric) = -0.1587330948758393 absolute error = 3.517741653524808e-13 relative error = 2.216136248262642e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9873215305012089 y1[1] (numeric) = -0.9873215305011193 absolute error = 8.959499808725013e-14 relative error = 9.074551229706059e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.301999999999747 y2[1] (analytic) = -0.1597203368748942 y2[1] (numeric) = -0.1597203368752462 absolute error = 3.519962099574059e-13 relative error = 2.203828371794117e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9871623037720648 y1[1] (numeric) = -0.9871623037719748 absolute error = 9.00390872971002e-14 relative error = 9.121001374652386e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.302999999999747 y2[1] (analytic) = -0.1607074191539773 y2[1] (numeric) = -0.1607074191543295 absolute error = 3.522460101379465e-13 relative error = 2.191846599194353e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9870020898806993 y1[1] (numeric) = -0.9870020898806089 absolute error = 9.037215420448774e-14 relative error = 9.156227239134943e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.303999999999747 y2[1] (analytic) = -0.1616943407256547 y2[1] (numeric) = -0.1616943407260071 absolute error = 3.524680547428716e-13 relative error = 2.179841626868691e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.986840888987326 y1[1] (numeric) = -0.9868408889872353 absolute error = 9.070522111187529e-14 relative error = 9.191473734428957e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.304999999999747 y2[1] (analytic) = -0.1626811006030048 y2[1] (numeric) = -0.1626811006033575 absolute error = 3.526900993477966e-13 relative error = 2.167984468020511e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9866787012531461 y1[1] (numeric) = -0.986678701253055 absolute error = 9.103828801926284e-14 relative error = 9.226740974912938e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.305999999999747 y2[1] (analytic) = -0.1636676977992678 y2[1] (numeric) = -0.1636676977996208 absolute error = 3.529121439527216e-13 relative error = 2.156272426985286e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.986515526840347 y1[1] (numeric) = -0.9865155268402557 absolute error = 9.137135492665038e-14 relative error = 9.262029075132589e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.306999999999747 y2[1] (analytic) = -0.1646541313278468 y2[1] (numeric) = -0.1646541313281999 absolute error = 3.531341885576467e-13 relative error = 2.14470287328845e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9863513659121035 y1[1] (numeric) = -0.9863513659120117 absolute error = 9.181544413650045e-14 relative error = 9.308594007126095e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.307999999999747 y2[1] (analytic) = -0.1656404002023081 y2[1] (numeric) = -0.1656404002026614 absolute error = 3.533562331625717e-13 relative error = 2.133273239686654e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9861862186325762 y1[1] (numeric) = -0.986186218632484 absolute error = 9.214851104388799e-14 relative error = 9.343926056040315e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.308999999999747 y2[1] (analytic) = -0.166626503436383 y2[1] (numeric) = -0.1666265034367366 absolute error = 3.536060333431124e-13 relative error = 2.122147593873727e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9860200851669123 y1[1] (numeric) = -0.9860200851668198 absolute error = 9.248157795127554e-14 relative error = 9.379279321234148e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.309999999999746 y2[1] (analytic) = -0.1676124400439683 y2[1] (numeric) = -0.1676124400443222 absolute error = 3.538280779480374e-13 relative error = 2.110989362455559e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9858529656812456 y1[1] (numeric) = -0.9858529656811527 absolute error = 9.29256671611256e-14 relative error = 9.425915465691375e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.310999999999746 y2[1] (analytic) = -0.1685982090391276 y2[1] (numeric) = -0.1685982090394817 absolute error = 3.540501225529624e-13 relative error = 2.099963721861339e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9856848603426952 y1[1] (numeric) = -0.9856848603426019 absolute error = 9.325873406851315e-14 relative error = 9.461313429942475e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.311999999999746 y2[1] (analytic) = -0.1695838094360919 y2[1] (numeric) = -0.1695838094364462 absolute error = 3.542721671578875e-13 relative error = 2.089068339341651e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9855157693193667 y1[1] (numeric) = -0.9855157693192731 absolute error = 9.35918009759007e-14 relative error = 9.496732968619936e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.312999999999746 y2[1] (analytic) = -0.1705692402492609 y2[1] (numeric) = -0.1705692402496154 absolute error = 3.544942117628125e-13 relative error = 2.078300936586065e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.985345692780351 y1[1] (numeric) = -0.985345692780257 absolute error = 9.403589018575076e-14 relative error = 9.543441542877159e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.313999999999746 y2[1] (analytic) = -0.1715545004932038 y2[1] (numeric) = -0.1715545004935586 absolute error = 3.547440119433531e-13 relative error = 2.067821076821044e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9851746308957247 y1[1] (numeric) = -0.9851746308956302 absolute error = 9.447997939560082e-14 relative error = 9.590175836105245e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.314999999999746 y2[1] (analytic) = -0.1725395891826606 y2[1] (numeric) = -0.1725395891830156 absolute error = 3.549660565482782e-13 relative error = 2.057302084871027e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9850025838365495 y1[1] (numeric) = -0.9850025838364547 absolute error = 9.481304630298837e-14 relative error = 9.625664730106085e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.315999999999746 y2[1] (analytic) = -0.1735245053325425 y2[1] (numeric) = -0.1735245053328977 absolute error = 3.551881011532032e-13 relative error = 2.046904559517518e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9848295517748725 y1[1] (numeric) = -0.9848295517747774 absolute error = 9.514611321037592e-14 relative error = 9.661175686584787e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.316999999999746 y2[1] (analytic) = -0.1745092479579336 y2[1] (numeric) = -0.174509247958289 absolute error = 3.554101457581282e-13 relative error = 2.036626424771492e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9846555348837259 y1[1] (numeric) = -0.9846555348836303 absolute error = 9.559020242022598e-14 relative error = 9.707984064855111e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.317999999999746 y2[1] (analytic) = -0.1754938160740913 y2[1] (numeric) = -0.1754938160744469 absolute error = 3.556321903630533e-13 relative error = 2.026465651717949e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9844805333371265 y1[1] (numeric) = -0.9844805333370305 absolute error = 9.603429163007604e-14 relative error = 9.754818747359625e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.318999999999745 y2[1] (analytic) = -0.1764782086964475 y2[1] (numeric) = -0.1764782086968034 absolute error = 3.558542349679783e-13 relative error = 2.01642025718919e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9843045473100758 y1[1] (numeric) = -0.9843045473099793 absolute error = 9.64783808399261e-14 relative error = 9.801679886939857e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.319999999999745 y2[1] (analytic) = -0.1774624248406097 y2[1] (numeric) = -0.1774624248409658 absolute error = 3.560762795729033e-13 relative error = 2.006488302482726e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9841275769785597 y1[1] (numeric) = -0.9841275769784629 absolute error = 9.681144774731365e-14 relative error = 9.837286344981956e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.320999999999745 y2[1] (analytic) = -0.1784464635223619 y2[1] (numeric) = -0.1784464635227182 absolute error = 3.562983241778284e-13 relative error = 1.996667892122049e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9839496225195487 y1[1] (numeric) = -0.9839496225194515 absolute error = 9.71445146547012e-14 relative error = 9.872915485850615e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.321999999999745 y2[1] (analytic) = -0.1794303237576654 y2[1] (numeric) = -0.179430323758022 absolute error = 3.56548124358369e-13 relative error = 1.987111859865532e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9837706841109972 y1[1] (numeric) = -0.9837706841108996 absolute error = 9.758860386455126e-14 relative error = 9.919852811302162e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.322999999999745 y2[1] (analytic) = -0.1804140045626601 y2[1] (numeric) = -0.1804140045630169 absolute error = 3.567701689632941e-13 relative error = 1.977508175311208e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9835907619318435 y1[1] (numeric) = -0.9835907619317455 absolute error = 9.792167077193881e-14 relative error = 9.95552973470527e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.323999999999745 y2[1] (analytic) = -0.1813975049536653 y2[1] (numeric) = -0.1813975049540223 absolute error = 3.570199691438347e-13 relative error = 1.968163615232905e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9834098561620099 y1[1] (numeric) = -0.9834098561619116 absolute error = 9.836575998178887e-14 relative error = 1.000251923096282e-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) = -0.1823808239471807 y2[1] (numeric) = -0.1823808239475379 absolute error = 3.572420137487597e-13 relative error = 1.958769600976365e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.983227966982402 y1[1] (numeric) = -0.9832279669823033 absolute error = 9.869882688917642e-14 relative error = 1.003824445637875e-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) = -0.1833639605598873 y2[1] (numeric) = -0.1833639605602447 absolute error = 3.574640583536848e-13 relative error = 1.949478279495037e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9830450945749092 y1[1] (numeric) = -0.98304509457481 absolute error = 9.914291609902648e-14 relative error = 1.008528669194958e-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) = -0.1843469138086486 y2[1] (numeric) = -0.1843469138090063 absolute error = 3.577138585342254e-13 relative error = 1.94043855220452e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9828612391224036 y1[1] (numeric) = -0.9828612391223042 absolute error = 9.947598300641403e-14 relative error = 1.012106074050047e-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) = -0.1853296827105115 y2[1] (numeric) = -0.1853296827108694 absolute error = 3.579359031391505e-13 relative error = 1.931346872795618e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9826764008087409 y1[1] (numeric) = -0.982676400808641 absolute error = 9.980904991380157e-14 relative error = 1.015685833420431e-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) = -0.1863122662827071 y2[1] (numeric) = -0.1863122662830652 absolute error = 3.581579477440755e-13 relative error = 1.922353019959581e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9824905798187592 y1[1] (numeric) = -0.9824905798186589 absolute error = 1.002531391236516e-13 relative error = 1.020397968010496e-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) = -0.1872946635426519 y2[1] (numeric) = -0.1872946635430103 absolute error = 3.583799923490005e-13 relative error = 1.913455437385636e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9823037763382796 y1[1] (numeric) = -0.982303776338179 absolute error = 1.005862060310392e-13 relative error = 1.023982686964648e-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) = -0.1882768735079488 y2[1] (numeric) = -0.1882768735083074 absolute error = 3.585742813783099e-13 relative error = 1.904505182699304e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9821159905541055 y1[1] (numeric) = -0.9821159905540046 absolute error = 1.009192729384267e-13 relative error = 1.027569797346325e-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) = -0.1892588951963879 y2[1] (numeric) = -0.1892588951967467 absolute error = 3.588240815588506e-13 relative error = 1.895943021259372e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9819272226540227 y1[1] (numeric) = -0.9819272226539214 absolute error = 1.012523398458143e-13 relative error = 1.031159311095809e-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) = -0.1902407276259476 y2[1] (numeric) = -0.1902407276263066 absolute error = 3.590461261637756e-13 relative error = 1.887325236001694e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.981737472826799 y1[1] (numeric) = -0.9817374728266974 absolute error = 1.015854067532018e-13 relative error = 1.034751240173184e-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) = -0.1912223698147955 y2[1] (numeric) = -0.1912223698151548 absolute error = 3.592959263443163e-13 relative error = 1.878942964111913e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9815467412621844 y1[1] (numeric) = -0.9815467412620824 absolute error = 1.020294959630519e-13 relative error = 1.039476691979546e-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) = -0.1922038207812895 y2[1] (numeric) = -0.192203820781649 absolute error = 3.594902153736257e-13 relative error = 1.870359360767822e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9813550281509102 y1[1] (numeric) = -0.9813550281508079 absolute error = 1.023625628704394e-13 relative error = 1.043073708638484e-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) = -0.1931850795439788 y2[1] (numeric) = -0.1931850795443385 absolute error = 3.597122599785507e-13 relative error = 1.862008498936181e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9811623336846899 y1[1] (numeric) = -0.9811623336845871 absolute error = 1.028066520802895e-13 relative error = 1.047804716414316e-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) = -0.1941661451216046 y2[1] (numeric) = -0.1941661451219645 absolute error = 3.599343045834758e-13 relative error = 1.853743887010024e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9809686580562174 y1[1] (numeric) = -0.9809686580561142 absolute error = 1.03139718987677e-13 relative error = 1.051406873610495e-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) = -0.1951470165331015 y2[1] (numeric) = -0.1951470165334616 absolute error = 3.601563491884008e-13 relative error = 1.845564208906622e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9807740014591687 y1[1] (numeric) = -0.9807740014590651 absolute error = 1.035838081975271e-13 relative error = 1.056143495274324e-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) = -0.1961276927975981 y2[1] (numeric) = -0.1961276927979584 absolute error = 3.603783937933258e-13 relative error = 1.837468175211916e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9805783640882002 y1[1] (numeric) = -0.9805783640880963 absolute error = 1.039168751049147e-13 relative error = 1.059750846140101e-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) = -0.1971081729344182 y2[1] (numeric) = -0.1971081729347788 absolute error = 3.606004383982508e-13 relative error = 1.829454522508459e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9803817461389495 y1[1] (numeric) = -0.9803817461388451 absolute error = 1.043609643147647e-13 relative error = 1.064493139797542e-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) = -0.1980884559630818 y2[1] (numeric) = -0.1980884559634427 absolute error = 3.608224830031759e-13 relative error = 1.821522012723564e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9801841478080342 y1[1] (numeric) = -0.9801841478079295 absolute error = 1.046940312221523e-13 relative error = 1.068105737644068e-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) = -0.199068540903306 y2[1] (numeric) = -0.199068540903667 absolute error = 3.610167720324853e-13 relative error = 1.813530005265084e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9799855692930528 y1[1] (numeric) = -0.9799855692929478 absolute error = 1.050270981295398e-13 relative error = 1.07172086427053e-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) = -0.2000484267750059 y2[1] (numeric) = -0.2000484267753671 absolute error = 3.612388166374103e-13 relative error = 1.805756848284016e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9797860107925838 y1[1] (numeric) = -0.9797860107924784 absolute error = 1.053601650369274e-13 relative error = 1.075338531846334e-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) = -0.2010281125982956 y2[1] (numeric) = -0.2010281125986571 absolute error = 3.614608612423353e-13 relative error = 1.798061259047009e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9795854725061857 y1[1] (numeric) = -0.9795854725060799 absolute error = 1.058042542467774e-13 relative error = 1.080092112596222e-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) = -0.2020075973934896 y2[1] (numeric) = -0.2020075973938512 absolute error = 3.616551502716447e-13 relative error = 1.790304696150504e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9793839546343966 y1[1] (numeric) = -0.9793839546342904 absolute error = 1.062483434566275e-13 relative error = 1.084848725097706e-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) = -0.2029868801811029 y2[1] (numeric) = -0.2029868801814648 absolute error = 3.619049504521854e-13 relative error = 1.782898235242087e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9791814573787345 y1[1] (numeric) = -0.9791814573786279 absolute error = 1.06581410364015e-13 relative error = 1.088474557609915e-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) = -0.203965959981853 y2[1] (numeric) = -0.2039659599822151 absolute error = 3.621269950571104e-13 relative error = 1.775428581756138e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9789779809416967 y1[1] (numeric) = -0.9789779809415897 absolute error = 1.070254995738651e-13 relative error = 1.093237045749643e-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) = -0.2049448358166601 y2[1] (numeric) = -0.2049448358170225 absolute error = 3.623490396620355e-13 relative error = 1.76803205710529e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9787735255267596 y1[1] (numeric) = -0.9787735255266522 absolute error = 1.073585664812526e-13 relative error = 1.096868312038518e-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) = -0.2059235067066485 y2[1] (numeric) = -0.2059235067070111 absolute error = 3.625710842669605e-13 relative error = 1.760707604807191e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9785680913383784 y1[1] (numeric) = -0.9785680913382707 absolute error = 1.076916333886402e-13 relative error = 1.100502196442471e-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) = -0.2069019716731473 y2[1] (numeric) = -0.2069019716735101 absolute error = 3.627653732962699e-13 relative error = 1.753320040223431e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9783616785819874 y1[1] (numeric) = -0.9783616785818794 absolute error = 1.080247002960277e-13 relative error = 1.104138711285135e-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) = -0.2078802297376917 y2[1] (numeric) = -0.2078802297380547 absolute error = 3.629874179011949e-13 relative error = 1.746137275099326e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9781542874639995 y1[1] (numeric) = -0.978154287463891 absolute error = 1.084687895058778e-13 relative error = 1.108912887220462e-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) = -0.2088582799220237 y2[1] (numeric) = -0.2088582799223869 absolute error = 3.6320946250612e-13 relative error = 1.739023526583301e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9779459181918055 y1[1] (numeric) = -0.9779459181916966 absolute error = 1.089128787157279e-13 relative error = 1.113690201980746e-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) = -0.2098361212480931 y2[1] (numeric) = -0.2098361212484566 absolute error = 3.63431507111045e-13 relative error = 1.731977816542621e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9777365709737749 y1[1] (numeric) = -0.9777365709736656 absolute error = 1.092459456231154e-13 relative error = 1.117335168452502e-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) = -0.2108137527380589 y2[1] (numeric) = -0.2108137527384225 absolute error = 3.636257961403544e-13 relative error = 1.724867526039291e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9775262460192548 y1[1] (numeric) = -0.9775262460191451 absolute error = 1.096900348329655e-13 relative error = 1.122118564894316e-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) = -0.2117911734142894 y2[1] (numeric) = -0.2117911734146532 absolute error = 3.638478407452794e-13 relative error = 1.717955639414437e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9773149435385701 y1[1] (numeric) = -0.9773149435384599 absolute error = 1.101341240428155e-13 relative error = 1.126905147321827e-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) = -0.2127683822993642 y2[1] (numeric) = -0.2127683822997282 absolute error = 3.640698853502045e-13 relative error = 1.711108959967369e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9771026637430232 y1[1] (numeric) = -0.9771026637429128 absolute error = 1.104671909502031e-13 relative error = 1.130558692031729e-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) = -0.2137453784160744 y2[1] (numeric) = -0.2137453784164386 absolute error = 3.642919299551295e-13 relative error = 1.704326580788114e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9768894068448942 y1[1] (numeric) = -0.9768894068447833 absolute error = 1.109112801600531e-13 relative error = 1.135351446979741e-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) = -0.2147221607874239 y2[1] (numeric) = -0.2147221607877885 absolute error = 3.645417301356702e-13 relative error = 1.697736874474584e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9766751730574397 y1[1] (numeric) = -0.9766751730573284 absolute error = 1.112443470674407e-13 relative error = 1.139010698093155e-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) = -0.2156987284366306 y2[1] (numeric) = -0.2156987284369954 absolute error = 3.647637747405952e-13 relative error = 1.691079856540544e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9764599625948934 y1[1] (numeric) = -0.9764599625947818 absolute error = 1.115774139748282e-13 relative error = 1.142672697796199e-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) = -0.2166750803871269 y2[1] (numeric) = -0.2166750803874918 absolute error = 3.649580637699046e-13 relative error = 1.684356424919031e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.976243775672466 y1[1] (numeric) = -0.976243775672354 absolute error = 1.120215031846783e-13 relative error = 1.147474698187085e-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) = -0.2176512156625608 y2[1] (numeric) = -0.217651215662926 absolute error = 3.652078639504452e-13 relative error = 1.67795003045906e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9760266125063443 y1[1] (numeric) = -0.9760266125062318 absolute error = 1.124655923945284e-13 relative error = 1.152279978367878e-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) = -0.2186271332867971 y2[1] (numeric) = -0.2186271332871626 absolute error = 3.654299085553703e-13 relative error = 1.67147555320133e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9758084733136914 y1[1] (numeric) = -0.9758084733135785 absolute error = 1.129096816043784e-13 relative error = 1.157088554693064e-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) = -0.2196028322839185 y2[1] (numeric) = -0.2196028322842841 absolute error = 3.656241975846797e-13 relative error = 1.664933888976323e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9755893583126464 y1[1] (numeric) = -0.9755893583125331 absolute error = 1.13242748511766e-13 relative error = 1.160762441152778e-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) = -0.2205783116782258 y2[1] (numeric) = -0.2205783116785917 absolute error = 3.658462421896047e-13 relative error = 1.658577579119801e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9753692677223245 y1[1] (numeric) = -0.9753692677222108 absolute error = 1.13686837721616e-13 relative error = 1.165577402157613e-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) = -0.2215535704942398 y2[1] (numeric) = -0.2215535704946059 absolute error = 3.660960423701454e-13 relative error = 1.652404163712918e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9751482017628161 y1[1] (numeric) = -0.975148201762702 absolute error = 1.141309269314661e-13 relative error = 1.170395707289895e-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) = -0.2225286077567018 y2[1] (numeric) = -0.2225286077570681 absolute error = 3.663180869750704e-13 relative error = 1.646161770695023e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9749261606551872 y1[1] (numeric) = -0.9749261606550728 absolute error = 1.144639938388536e-13 relative error = 1.174078596495241e-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) = -0.2235034224905746 y2[1] (numeric) = -0.2235034224909412 absolute error = 3.665401315799954e-13 relative error = 1.639975475522988e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.974703144621479 y1[1] (numeric) = -0.9747031446213641 absolute error = 1.149080830487037e-13 relative error = 1.178903378764903e-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) = -0.2244780137210435 y2[1] (numeric) = -0.2244780137214103 absolute error = 3.667621761849205e-13 relative error = 1.633844536065309e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9744791538847073 y1[1] (numeric) = -0.9744791538845921 absolute error = 1.152411499560912e-13 relative error = 1.182592254505279e-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) = -0.2254523804735175 y2[1] (numeric) = -0.2254523804738844 absolute error = 3.669564652142299e-13 relative error = 1.627645112655327e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9742541886688629 y1[1] (numeric) = -0.9742541886687474 absolute error = 1.155742168634788e-13 relative error = 1.186284013019122e-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) = -0.2264265217736297 y2[1] (numeric) = -0.2264265217739969 absolute error = 3.671785098191549e-13 relative error = 1.621623239817473e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9740282491989111 y1[1] (numeric) = -0.9740282491987952 absolute error = 1.159072837708663e-13 relative error = 1.189978667109442e-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) = -0.227400436647239 y2[1] (numeric) = -0.2274004366476064 absolute error = 3.674005544240799e-13 relative error = 1.615654568834535e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9738013357007912 y1[1] (numeric) = -0.973801335700675 absolute error = 1.162403506782539e-13 relative error = 1.193676229603876e-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) = -0.2283741241204306 y2[1] (numeric) = -0.2283741241207982 absolute error = 3.67622599029005e-13 relative error = 1.609738408170722e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9735734484014168 y1[1] (numeric) = -0.9735734484013001 absolute error = 1.16684439888104e-13 relative error = 1.198517072129451e-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) = -0.2293475832195171 y2[1] (numeric) = -0.229347583219885 absolute error = 3.6784464363393e-13 relative error = 1.603874078245037e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9733445875286751 y1[1] (numeric) = -0.973344587528558 absolute error = 1.17128529097954e-13 relative error = 1.203361385050116e-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) = -0.2303208129710396 y2[1] (numeric) = -0.2303208129714076 absolute error = 3.68066688238855e-13 relative error = 1.598060911174083e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9731147533114269 y1[1] (numeric) = -0.9731147533113095 absolute error = 1.174615960053416e-13 relative error = 1.207068288766867e-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) = -0.2312938124017682 y2[1] (numeric) = -0.2312938124021365 absolute error = 3.682887328437801e-13 relative error = 1.592298250521485e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9728839459795067 y1[1] (numeric) = -0.9728839459793888 absolute error = 1.179056852151916e-13 relative error = 1.211919321954515e-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) = -0.2322665805387037 y2[1] (numeric) = -0.2322665805390722 absolute error = 3.685107774487051e-13 relative error = 1.586585451053723e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9726521657637215 y1[1] (numeric) = -0.9726521657636031 absolute error = 1.183497744250417e-13 relative error = 1.216773874472526e-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) = -0.2332391164090781 y2[1] (numeric) = -0.2332391164094468 absolute error = 3.687050664780145e-13 relative error = 1.580802877984423e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9724194128958515 y1[1] (numeric) = -0.9724194128957329 absolute error = 1.186828413324292e-13 relative error = 1.220490251001812e-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) = -0.2342114190403554 y2[1] (numeric) = -0.2342114190407243 absolute error = 3.688993555073239e-13 relative error = 1.575069896330551e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9721856876086497 y1[1] (numeric) = -0.9721856876085306 absolute error = 1.190159082398168e-13 relative error = 1.224209631521816e-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) = -0.2351834874602333 y2[1] (numeric) = -0.2351834874606024 absolute error = 3.691491556878645e-13 relative error = 1.569621913827106e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9719509901358413 y1[1] (numeric) = -0.9719509901357218 absolute error = 1.194599974496668e-13 relative error = 1.229074291420506e-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) = -0.2361553206966432 y2[1] (numeric) = -0.2361553206970126 absolute error = 3.693712002927896e-13 relative error = 1.564102808283836e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9717153207121237 y1[1] (numeric) = -0.9717153207120039 absolute error = 1.197930643570544e-13 relative error = 1.232799996085929e-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) = -0.2371269177777522 y2[1] (numeric) = -0.2371269177781218 absolute error = 3.69565489322099e-13 relative error = 1.558513444131531e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9714786795731665 y1[1] (numeric) = -0.9714786795730462 absolute error = 1.202371535669045e-13 relative error = 1.237671562897628e-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) = -0.2380982777319632 y2[1] (numeric) = -0.2380982777323329 absolute error = 3.69787533927024e-13 relative error = 1.55308781503791e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9712410669556106 y1[1] (numeric) = -0.97124106695549 absolute error = 1.206812427767545e-13 relative error = 1.24254674645332e-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) = -0.2390693995879162 y2[1] (numeric) = -0.2390693995882862 absolute error = 3.699818229563334e-13 relative error = 1.547591718530564e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9710024830970687 y1[1] (numeric) = -0.9710024830969477 absolute error = 1.210143096841421e-13 relative error = 1.246282185583706e-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) = -0.2400402823744896 y2[1] (numeric) = -0.2400402823748598 absolute error = 3.702316231368741e-13 relative error = 1.542372886227785e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9707629282361246 y1[1] (numeric) = -0.9707629282360032 absolute error = 1.214583988939921e-13 relative error = 1.251164371456602e-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) = -0.2410109251208006 y2[1] (numeric) = -0.2410109251211711 absolute error = 3.704259121661835e-13 relative error = 1.536967305446908e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9705224026123332 y1[1] (numeric) = -0.9705224026122113 absolute error = 1.219024881038422e-13 relative error = 1.256050223835328e-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) = -0.2419813268562066 y2[1] (numeric) = -0.2419813268565773 absolute error = 3.706479567711085e-13 relative error = 1.531721317452565e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9702809064662201 y1[1] (numeric) = -0.9702809064660978 absolute error = 1.223465773136923e-13 relative error = 1.260939759798846e-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) = -0.2429514866103059 y2[1] (numeric) = -0.2429514866106768 absolute error = 3.708422458004179e-13 relative error = 1.526404513816574e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9700384400392813 y1[1] (numeric) = -0.9700384400391586 absolute error = 1.226796442210798e-13 relative error = 1.264688481995744e-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) = -0.2439214034129388 y2[1] (numeric) = -0.2439214034133099 absolute error = 3.710642904053429e-13 relative error = 1.52124530776482e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9697950035739833 y1[1] (numeric) = -0.9697950035738603 absolute error = 1.230127111284673e-13 relative error = 1.268440347445892e-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) = -0.2448910762941887 y2[1] (numeric) = -0.2448910762945599 absolute error = 3.71286335010268e-13 relative error = 1.516128478949719e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9695505973137626 y1[1] (numeric) = -0.9695505973136391 absolute error = 1.234568003383174e-13 relative error = 1.273340459800312e-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) = -0.2458605042843826 y2[1] (numeric) = -0.2458605042847541 absolute error = 3.714806240395774e-13 relative error = 1.510940625135512e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9693052215030253 y1[1] (numeric) = -0.9693052215029014 absolute error = 1.239008895481675e-13 relative error = 1.278244321804479e-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) = -0.2468296864140928 y2[1] (numeric) = -0.2468296864144645 absolute error = 3.717026686445024e-13 relative error = 1.505907470225915e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9690588763871474 y1[1] (numeric) = -0.969058876387023 absolute error = 1.243449787580175e-13 relative error = 1.283151950700884e-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) = -0.2477986217141371 y2[1] (numeric) = -0.247798621714509 absolute error = 3.718969576738118e-13 relative error = 1.500803172758708e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9688115622124738 y1[1] (numeric) = -0.968811562212349 absolute error = 1.247890679678676e-13 relative error = 1.28806336376588e-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) = -0.2487673092155804 y2[1] (numeric) = -0.2487673092159525 absolute error = 3.721190022787368e-13 relative error = 1.495851699534446e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9685632792263187 y1[1] (numeric) = -0.9685632792261935 absolute error = 1.252331571777177e-13 relative error = 1.292978578309855e-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) = -0.2497357479497351 y2[1] (numeric) = -0.2497357479501074 absolute error = 3.723410468836619e-13 relative error = 1.490940123472447e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9683140276769652 y1[1] (numeric) = -0.9683140276768395 absolute error = 1.256772463875677e-13 relative error = 1.297897611677421e-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) = -0.2507039369481627 y2[1] (numeric) = -0.2507039369485353 absolute error = 3.725353359129713e-13 relative error = 1.485957262769269e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9680638078136645 y1[1] (numeric) = -0.9680638078135385 absolute error = 1.260103132949553e-13 relative error = 1.301673632232412e-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) = -0.2516718752426743 y2[1] (numeric) = -0.2516718752430471 absolute error = 3.727573805178963e-13 relative error = 1.481124500536524e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9678126198866368 y1[1] (numeric) = -0.9678126198865104 absolute error = 1.264544025048053e-13 relative error = 1.306600057763427e-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) = -0.2526395618653316 y2[1] (numeric) = -0.2526395618657046 absolute error = 3.729794251228213e-13 relative error = 1.476330240477683e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9675604641470699 y1[1] (numeric) = -0.967560464146943 absolute error = 1.268984917146554e-13 relative error = 1.311530353056744e-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) = -0.2536069958484481 y2[1] (numeric) = -0.2536069958488213 absolute error = 3.732014697277464e-13 relative error = 1.471574033197279e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9673073408471194 y1[1] (numeric) = -0.9673073408469921 absolute error = 1.273425809245055e-13 relative error = 1.316464535594087e-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) = -0.2545741762245899 y2[1] (numeric) = -0.2545741762249633 absolute error = 3.733680031814401e-13 relative error = 1.466637381366004e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9670532502399087 y1[1] (numeric) = -0.9670532502397809 absolute error = 1.277866701343555e-13 relative error = 1.321402622892317e-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) = -0.2555411020265766 y2[1] (numeric) = -0.2555411020269502 absolute error = 3.735900477863652e-13 relative error = 1.461956784343488e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9667981925795284 y1[1] (numeric) = -0.9667981925794001 absolute error = 1.282307593442056e-13 relative error = 1.326344632503617e-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) = -0.2565077722874827 y2[1] (numeric) = -0.2565077722878565 absolute error = 3.738120923912902e-13 relative error = 1.457312926847059e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.966542168121036 y1[1] (numeric) = -0.9665421681209073 absolute error = 1.286748485540556e-13 relative error = 1.331290582015685e-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) = -0.2574741860406378 y2[1] (numeric) = -0.2574741860410118 absolute error = 3.740341369962152e-13 relative error = 1.452705386695273e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.966285177120456 y1[1] (numeric) = -0.966285177120327 absolute error = 1.290079154614432e-13 relative error = 1.335091529044134e-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) = -0.2584403423196283 y2[1] (numeric) = -0.2584403423200026 absolute error = 3.742561816011403e-13 relative error = 1.448133748167984e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9660272198347795 y1[1] (numeric) = -0.9660272198346501 absolute error = 1.293409823688307e-13 relative error = 1.338895837644741e-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) = -0.2594062401582981 y2[1] (numeric) = -0.2594062401586725 absolute error = 3.744782262060653e-13 relative error = 1.443597601883234e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9657682965219636 y1[1] (numeric) = -0.9657682965218338 absolute error = 1.297850715786808e-13 relative error = 1.343853096504387e-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) = -0.2603718785907493 y2[1] (numeric) = -0.2603718785911239 absolute error = 3.746447596597591e-13 relative error = 1.438883345188837e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9655084074409317 y1[1] (numeric) = -0.9655084074408015 absolute error = 1.302291607885309e-13 relative error = 1.348814363343574e-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) = -0.2613372566513436 y2[1] (numeric) = -0.2613372566517185 absolute error = 3.748668042646841e-13 relative error = 1.434417767554678e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9652475528515728 y1[1] (numeric) = -0.9652475528514421 absolute error = 1.306732499983809e-13 relative error = 1.353779655927029e-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) = -0.262302373374703 y2[1] (numeric) = -0.2623023733750781 absolute error = 3.750888488696091e-13 relative error = 1.429986484848877e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9649857330147414 y1[1] (numeric) = -0.9649857330146104 absolute error = 1.310063169057685e-13 relative error = 1.35759848486555e-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) = -0.263267227795711 y2[1] (numeric) = -0.2632672277960862 absolute error = 3.752553823233029e-13 relative error = 1.425378257161928e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9647229481922576 y1[1] (numeric) = -0.9647229481921261 absolute error = 1.314504061156185e-13 relative error = 1.3625715689871e-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) = -0.264231818949513 y2[1] (numeric) = -0.2642318189498885 absolute error = 3.754774269282279e-13 relative error = 1.421015184397496e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9644591986469059 y1[1] (numeric) = -0.964459198646774 absolute error = 1.318944953254686e-13 relative error = 1.367548731045448e-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) = -0.2651961458715182 y2[1] (numeric) = -0.2651961458718939 absolute error = 3.75699471533153e-13 relative error = 1.416685262519506e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9641944846424358 y1[1] (numeric) = -0.9641944846423036 absolute error = 1.322275622328561e-13 relative error = 1.371378537618287e-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) = -0.2661602075973996 y2[1] (numeric) = -0.2661602075977755 absolute error = 3.75921516138078e-13 relative error = 1.412388123421913e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9639288064435616 y1[1] (numeric) = -0.9639288064434289 absolute error = 1.326716514427062e-13 relative error = 1.376363591956562e-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) = -0.2671240031630955 y2[1] (numeric) = -0.2671240031634716 absolute error = 3.760880495917718e-13 relative error = 1.407915594025248e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9636621643159612 y1[1] (numeric) = -0.9636621643158282 absolute error = 1.330047183500938e-13 relative error = 1.38020068936197e-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) = -0.2680875316048106 y2[1] (numeric) = -0.2680875316051869 absolute error = 3.763100941966968e-13 relative error = 1.403683684743003e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9633945585262768 y1[1] (numeric) = -0.9633945585261434 absolute error = 1.333377852574813e-13 relative error = 1.384041295203605e-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) = -0.2690507919590164 y2[1] (numeric) = -0.2690507919593929 absolute error = 3.765321388016218e-13 relative error = 1.399483480646947e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9631259893421141 y1[1] (numeric) = -0.9631259893419803 absolute error = 1.337818744673314e-13 relative error = 1.389038152305642e-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) = -0.2700137832624526 y2[1] (numeric) = -0.2700137832628294 absolute error = 3.767541834065469e-13 relative error = 1.395314634884186e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9628564570320424 y1[1] (numeric) = -0.9628564570319083 absolute error = 1.341149413747189e-13 relative error = 1.39288613993535e-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) = -0.2709765045521281 y2[1] (numeric) = -0.270976504552505 absolute error = 3.769762280114719e-13 relative error = 1.391176805659003e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9625859618655939 y1[1] (numeric) = -0.9625859618654593 absolute error = 1.34559030584569e-13 relative error = 1.397891055088517e-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) = -0.2719389548653216 y2[1] (numeric) = -0.2719389548656988 absolute error = 3.771982726163969e-13 relative error = 1.387069656141046e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9623145041132637 y1[1] (numeric) = -0.9623145041131287 absolute error = 1.35003119794419e-13 relative error = 1.402900187177572e-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) = -0.2729011332395829 y2[1] (numeric) = -0.2729011332399603 absolute error = 3.77420317221322e-13 relative error = 1.382992854375509e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9620420840465096 y1[1] (numeric) = -0.9620420840463741 absolute error = 1.354472090042691e-13 relative error = 1.407913554410796e-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) = -0.2738630387127338 y2[1] (numeric) = -0.2738630387131114 absolute error = 3.775868506750157e-13 relative error = 1.378743376433072e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9617687019377517 y1[1] (numeric) = -0.9617687019376158 absolute error = 1.358912982141192e-13 relative error = 1.412931175035413e-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) = -0.2748246703228687 y2[1] (numeric) = -0.2748246703232465 absolute error = 3.778088952799408e-13 relative error = 1.374727002623471e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9614943580603719 y1[1] (numeric) = -0.9614943580602356 absolute error = 1.362243651215067e-13 relative error = 1.416798382429543e-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) = -0.2757860271083561 y2[1] (numeric) = -0.2757860271087342 absolute error = 3.780309398848658e-13 relative error = 1.370740003939132e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9612190526887141 y1[1] (numeric) = -0.9612190526885775 absolute error = 1.365574320288943e-13 relative error = 1.420669218394256e-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) = -0.2767471081078395 y2[1] (numeric) = -0.2767471081082178 absolute error = 3.782529844897908e-13 relative error = 1.366782067122442e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9609427860980839 y1[1] (numeric) = -0.9609427860979468 absolute error = 1.371125435412068e-13 relative error = 1.426854392631984e-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) = -0.2777079123602379 y2[1] (numeric) = -0.2777079123606163 absolute error = 3.784195179434846e-13 relative error = 1.362652992949676e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9606655585647476 y1[1] (numeric) = -0.9606655585646101 absolute error = 1.374456104485944e-13 relative error = 1.430733195576832e-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) = -0.278668438904747 y2[1] (numeric) = -0.2786684389051257 absolute error = 3.786415625484096e-13 relative error = 1.35875294682307e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9603873703659328 y1[1] (numeric) = -0.9603873703657949 absolute error = 1.378896996584444e-13 relative error = 1.435771688729152e-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) = -0.2796286867808404 y2[1] (numeric) = -0.2796286867812193 absolute error = 3.789191183045659e-13 relative error = 1.355079561638626e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9601082217798276 y1[1] (numeric) = -0.9601082217796894 absolute error = 1.38222766565832e-13 relative error = 1.439658190923495e-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) = -0.2805886550282704 y2[1] (numeric) = -0.2805886550286495 absolute error = 3.790856517582597e-13 relative error = 1.351036989432325e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9598281130855807 y1[1] (numeric) = -0.959828113085442 absolute error = 1.386668557756821e-13 relative error = 1.444705087142183e-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) = -0.2815483426870687 y2[1] (numeric) = -0.281548342687448 absolute error = 3.793076963631847e-13 relative error = 1.347220490602469e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9595470445633006 y1[1] (numeric) = -0.9595470445631616 absolute error = 1.389999226830696e-13 relative error = 1.448599351856999e-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) = -0.2825077487975478 y2[1] (numeric) = -0.2825077487979273 absolute error = 3.795297409681098e-13 relative error = 1.343431260146038e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.959265016494056 y1[1] (numeric) = -0.9592650164939166 absolute error = 1.394440118929197e-13 relative error = 1.453654719970534e-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) = -0.2834668724003016 y2[1] (numeric) = -0.2834668724006813 absolute error = 3.796962744218035e-13 relative error = 1.339473185020401e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9589820291598748 y1[1] (numeric) = -0.9589820291597351 absolute error = 1.397770788003072e-13 relative error = 1.457556810764851e-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) = -0.2844257125362066 y2[1] (numeric) = -0.2844257125365866 absolute error = 3.799183190267286e-13 relative error = 1.335738304526058e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9586980828437445 y1[1] (numeric) = -0.9586980828436042 absolute error = 1.402211680101573e-13 relative error = 1.46262071990616e-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) = -0.2853842682464229 y2[1] (numeric) = -0.285384268246803 absolute error = 3.800848524804223e-13 relative error = 1.331835334918418e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9584131778296111 y1[1] (numeric) = -0.9584131778294704 absolute error = 1.406652572200073e-13 relative error = 1.467689097707869e-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) = -0.2863425385723946 y2[1] (numeric) = -0.2863425385727749 absolute error = 3.803068970853474e-13 relative error = 1.328153682583897e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9581273144023797 y1[1] (numeric) = -0.9581273144022388 absolute error = 1.409983241273949e-13 relative error = 1.471603220239482e-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) = -0.2873005225558516 y2[1] (numeric) = -0.2873005225562322 absolute error = 3.805289416902724e-13 relative error = 1.32449791008054e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9578404928479138 y1[1] (numeric) = -0.9578404928477724 absolute error = 1.414424133372449e-13 relative error = 1.476680244710673e-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) = -0.2882582192388101 y2[1] (numeric) = -0.2882582192391908 absolute error = 3.807509862951974e-13 relative error = 1.320867752880139e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9575527134530349 y1[1] (numeric) = -0.9575527134528931 absolute error = 1.41886502547095e-13 relative error = 1.481761792888012e-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) = -0.2892156276635733 y2[1] (numeric) = -0.2892156276639543 absolute error = 3.809730309001225e-13 relative error = 1.3172629500619e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9572639765055224 y1[1] (numeric) = -0.9572639765053801 absolute error = 1.423305917569451e-13 relative error = 1.486847883658181e-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) = -0.2901727468727329 y2[1] (numeric) = -0.2901727468731141 absolute error = 3.811950755050475e-13 relative error = 1.313683244251177e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9569742822941131 y1[1] (numeric) = -0.9569742822939704 absolute error = 1.426636586643326e-13 relative error = 1.490778397119839e-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) = -0.2911295759091699 y2[1] (numeric) = -0.2911295759095513 absolute error = 3.814171201099725e-13 relative error = 1.310128381559459e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9566836311085012 y1[1] (numeric) = -0.9566836311083582 absolute error = 1.429967255717202e-13 relative error = 1.494712786148866e-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) = -0.2920861138160552 y2[1] (numeric) = -0.2920861138164368 absolute error = 3.815836535636663e-13 relative error = 1.306408060891156e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.956392023239338 y1[1] (numeric) = -0.9563920232391946 absolute error = 1.434408147815702e-13 relative error = 1.499811910765739e-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) = -0.293042359636851 y2[1] (numeric) = -0.2930423596372329 absolute error = 3.818056981685913e-13 relative error = 1.302902756590341e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9560994589782312 y1[1] (numeric) = -0.9560994589780873 absolute error = 1.438849039914203e-13 relative error = 1.504915651193735e-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) = -0.2939983124153117 y2[1] (numeric) = -0.2939983124156937 absolute error = 3.820277427735164e-13 relative error = 1.299421549855196e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9558059386177451 y1[1] (numeric) = -0.9558059386176009 absolute error = 1.442179708988078e-13 relative error = 1.508862469586359e-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) = -0.2949539711954843 y2[1] (numeric) = -0.2949539711958666 absolute error = 3.822497873784414e-13 relative error = 1.295964200207702e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9555114624514001 y1[1] (numeric) = -0.9555114624512554 absolute error = 1.446620601086579e-13 relative error = 1.513975140994353e-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) = -0.2959093350217105 y2[1] (numeric) = -0.2959093350220929 absolute error = 3.824163208321352e-13 relative error = 1.292342875239397e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9552160307736722 y1[1] (numeric) = -0.9552160307735271 absolute error = 1.45106149318508e-13 relative error = 1.519092484251756e-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) = -0.2968644029386261 y2[1] (numeric) = -0.2968644029390088 absolute error = 3.826383654370602e-13 relative error = 1.28893313462095e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9549196438799932 y1[1] (numeric) = -0.9549196438798476 absolute error = 1.45550238528358e-13 relative error = 1.524214518584661e-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) = -0.2978191739911637 y2[1] (numeric) = -0.2978191739915465 absolute error = 3.82804898890754e-13 relative error = 1.285360152473299e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9546223020667498 y1[1] (numeric) = -0.9546223020666038 absolute error = 1.459943277382081e-13 relative error = 1.529341263263298e-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) = -0.298773647224552 y2[1] (numeric) = -0.298773647224935 absolute error = 3.83026943495679e-13 relative error = 1.281997080578542e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9543240056312839 y1[1] (numeric) = -0.9543240056311375 absolute error = 1.464384169480581e-13 relative error = 1.53447273760225e-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) = -0.2997278216843181 y2[1] (numeric) = -0.2997278216847012 absolute error = 3.831934769493728e-13 relative error = 1.278471497227118e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.954024754871892 y1[1] (numeric) = -0.9540247548717451 absolute error = 1.468825061579082e-13 relative error = 1.539608960960681e-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) = -0.3006816964162874 y2[1] (numeric) = -0.3006816964166708 absolute error = 3.833600104030666e-13 relative error = 1.274969560742111e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9537245500878246 y1[1] (numeric) = -0.9537245500876773 absolute error = 1.473265953677583e-13 relative error = 1.544749952742556e-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) = -0.3016352704665853 y2[1] (numeric) = -0.3016352704669689 absolute error = 3.835820550079916e-13 relative error = 1.271675074385852e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9534233915792867 y1[1] (numeric) = -0.9534233915791389 absolute error = 1.477706845776083e-13 relative error = 1.549895732396867e-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) = -0.3025885428816379 y2[1] (numeric) = -0.3025885428820217 absolute error = 3.838040996129166e-13 relative error = 1.268402616826928e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9531212796474366 y1[1] (numeric) = -0.9531212796472884 absolute error = 1.482147737874584e-13 relative error = 1.555046319417856e-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) = -0.3035415127081729 y2[1] (numeric) = -0.3035415127085569 absolute error = 3.839706330666104e-13 relative error = 1.26496909645358e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9528182145943863 y1[1] (numeric) = -0.9528182145942378 absolute error = 1.485478406948459e-13 relative error = 1.559036534141852e-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) = -0.3044941789932205 y2[1] (numeric) = -0.3044941789936046 absolute error = 3.841926776715354e-13 relative error = 1.261740631436141e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9525141967232009 y1[1] (numeric) = -0.9525141967230518 absolute error = 1.491029522071585e-13 relative error = 1.565361993764463e-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) = -0.3054465407841144 y2[1] (numeric) = -0.3054465407844988 absolute error = 3.844147222764605e-13 relative error = 1.258533559717606e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9522092263378981 y1[1] (numeric) = -0.9522092263377485 absolute error = 1.495470414170086e-13 relative error = 1.570527120306864e-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) = -0.306398597128493 y2[1] (numeric) = -0.3063985971288776 absolute error = 3.845812557301542e-13 relative error = 1.255166503157565e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9519033037434482 y1[1] (numeric) = -0.9519033037432982 absolute error = 1.499911306268586e-13 relative error = 1.575697132649972e-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) = -0.3073503470743 y2[1] (numeric) = -0.3073503470746848 absolute error = 3.848033003350793e-13 relative error = 1.252002166251192e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.951596429245774 y1[1] (numeric) = -0.9515964292456236 absolute error = 1.504352198367087e-13 relative error = 1.580872050517699e-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) = -0.3083017896697856 y2[1] (numeric) = -0.3083017896701705 absolute error = 3.84969833788773e-13 relative error = 1.248678556816374e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9512886031517498 y1[1] (numeric) = -0.951288603151599 absolute error = 1.507682867440963e-13 relative error = 1.584884820911133e-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) = -0.3092529239635071 y2[1] (numeric) = -0.3092529239638923 absolute error = 3.851918783936981e-13 relative error = 1.245556140446232e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9509798257692017 y1[1] (numeric) = -0.9509798257690505 absolute error = 1.512123759539463e-13 relative error = 1.59006923024511e-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) = -0.3102037490043305 y2[1] (numeric) = -0.3102037490047159 absolute error = 3.854139229986231e-13 relative error = 1.242454110357134e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9506700974069071 y1[1] (numeric) = -0.9506700974067555 absolute error = 1.516564651637964e-13 relative error = 1.595258603141739e-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) = -0.3111542638414307 y2[1] (numeric) = -0.3111542638418163 absolute error = 3.855804564523169e-13 relative error = 1.239193870243138e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9503594183745944 y1[1] (numeric) = -0.9503594183744423 absolute error = 1.521005543736464e-13 relative error = 1.600452959510676e-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) = -0.312104467524293 y2[1] (numeric) = -0.3121044675246788 absolute error = 3.858025010572419e-13 relative error = 1.236132581239686e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9500477889829424 y1[1] (numeric) = -0.9500477889827899 absolute error = 1.525446435834965e-13 relative error = 1.605652319309122e-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) = -0.3130543591027138 y2[1] (numeric) = -0.3130543591030998 absolute error = 3.860245456621669e-13 relative error = 1.233091105227228e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9497352095435807 y1[1] (numeric) = -0.9497352095434277 absolute error = 1.529887327933466e-13 relative error = 1.610856702542061e-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) = -0.3140039376268016 y2[1] (numeric) = -0.3140039376271878 absolute error = 3.86246590267092e-13 relative error = 1.230069257049101e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9494216803690886 y1[1] (numeric) = -0.9494216803689352 absolute error = 1.534328220031966e-13 relative error = 1.616066129262494e-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) = -0.3149532021469779 y2[1] (numeric) = -0.3149532021473643 absolute error = 3.86468634872017e-13 relative error = 1.227066853861246e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9491072017729951 y1[1] (numeric) = -0.9491072017728414 absolute error = 1.537658889105842e-13 relative error = 1.620110864434906e-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) = -0.3159021517139783 y2[1] (numeric) = -0.3159021517143649 absolute error = 3.866351683257108e-13 relative error = 1.223907992484252e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.948791774069779 y1[1] (numeric) = -0.9487917740696249 absolute error = 1.540989558179717e-13 relative error = 1.624159905571004e-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) = -0.3168507853788533 y2[1] (numeric) = -0.3168507853792402 absolute error = 3.868572129306358e-13 relative error = 1.220944465919745e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.948475397574868 y1[1] (numeric) = -0.9484753975747133 absolute error = 1.546540673302843e-13 relative error = 1.630554337262888e-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) = -0.3177991021929694 y2[1] (numeric) = -0.3177991021933564 absolute error = 3.870237463843296e-13 relative error = 1.217825172298085e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9481580726046384 y1[1] (numeric) = -0.9481580726044833 absolute error = 1.550981565401344e-13 relative error = 1.635783747683251e-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) = -0.3187471012080097 y2[1] (numeric) = -0.3187471012083969 absolute error = 3.872457909892546e-13 relative error = 1.214899804646517e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9478397994764152 y1[1] (numeric) = -0.9478397994762596 absolute error = 1.555422457499844e-13 relative error = 1.641018301150739e-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) = -0.3196947814759754 y2[1] (numeric) = -0.3196947814763628 absolute error = 3.874123244429484e-13 relative error = 1.211819356744995e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9475205785084714 y1[1] (numeric) = -0.9475205785083155 absolute error = 1.55875312657372e-13 relative error = 1.64508630411744e-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) = -0.3206421420491863 y2[1] (numeric) = -0.3206421420495739 absolute error = 3.875788578966421e-13 relative error = 1.208758322969249e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9472004100200282 y1[1] (numeric) = -0.9472004100198719 absolute error = 1.56319401867222e-13 relative error = 1.650330808703057e-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) = -0.3215891819802818 y2[1] (numeric) = -0.3215891819806696 absolute error = 3.878009025015672e-13 relative error = 1.20588914127511e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9468792943312538 y1[1] (numeric) = -0.9468792943310971 absolute error = 1.567634910770721e-13 relative error = 1.655580516076111e-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) = -0.3225359003222221 y2[1] (numeric) = -0.3225359003226101 absolute error = 3.880229471064922e-13 relative error = 1.203038008230546e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.946557231763264 y1[1] (numeric) = -0.9465572317631069 absolute error = 1.570965579844597e-13 relative error = 1.659662540339133e-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) = -0.323482296128289 y2[1] (numeric) = -0.3234822961286772 absolute error = 3.88189480560186e-13 relative error = 1.200033155465902e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9462342226381214 y1[1] (numeric) = -0.9462342226379639 absolute error = 1.575406471943097e-13 relative error = 1.664922314425312e-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) = -0.3244283684520868 y2[1] (numeric) = -0.3244283684524752 absolute error = 3.88411525165111e-13 relative error = 1.197218131750626e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.945910267278835 y1[1] (numeric) = -0.945910267278677 absolute error = 1.579847364041598e-13 relative error = 1.670187351477274e-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) = -0.3253741163475431 y2[1] (numeric) = -0.3253741163479317 absolute error = 3.88633569770036e-13 relative error = 1.194420669144203e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9455853660093601 y1[1] (numeric) = -0.9455853660092017 absolute error = 1.583178033115473e-13 relative error = 1.674283560242621e-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) = -0.3263195388689102 y2[1] (numeric) = -0.326319538869299 absolute error = 3.888556143749611e-13 relative error = 1.19164061006832e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.945259519154598 y1[1] (numeric) = -0.9452595191544392 absolute error = 1.588729148238599e-13 relative error = 1.680733297094426e-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) = -0.3272646350707656 y2[1] (numeric) = -0.3272646350711547 absolute error = 3.890776589798861e-13 relative error = 1.188877798836268e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9449327270403955 y1[1] (numeric) = -0.9449327270402362 absolute error = 1.5931700403371e-13 relative error = 1.686014247095701e-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) = -0.3282094040080132 y2[1] (numeric) = -0.3282094040084025 absolute error = 3.892441924335799e-13 relative error = 1.185962948289186e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9446049899935447 y1[1] (numeric) = -0.944604989993385 absolute error = 1.596500709410975e-13 relative error = 1.690125212467791e-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) = -0.3291538447358842 y2[1] (numeric) = -0.3291538447362736 absolute error = 3.894662370385049e-13 relative error = 1.183234658404236e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9442763083417827 y1[1] (numeric) = -0.9442763083416226 absolute error = 1.600941601509476e-13 relative error = 1.695416465886817e-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) = -0.3300979563099378 y2[1] (numeric) = -0.3300979563103275 absolute error = 3.896327704921987e-13 relative error = 1.180354991735732e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.943946682413791 y1[1] (numeric) = -0.9439466824136304 absolute error = 1.605382493607976e-13 relative error = 1.700713105429653e-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) = -0.3310417377860627 y2[1] (numeric) = -0.3310417377864525 absolute error = 3.898548150971237e-13 relative error = 1.177660610726582e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9436161125391955 y1[1] (numeric) = -0.9436161125390345 absolute error = 1.609823385706477e-13 relative error = 1.706015152045858e-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) = -0.3319851882204773 y2[1] (numeric) = -0.3319851882208674 absolute error = 3.900768597020488e-13 relative error = 1.174982720744131e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9432845990485662 y1[1] (numeric) = -0.9432845990484048 absolute error = 1.614264277804978e-13 relative error = 1.711322626737665e-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) = -0.3329283066697314 y2[1] (numeric) = -0.3329283066701216 absolute error = 3.902433931557425e-13 relative error = 1.172154440874468e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9429521422734164 y1[1] (numeric) = -0.9429521422732545 absolute error = 1.618705169903478e-13 relative error = 1.716635550560234e-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) = -0.3338710921907066 y2[1] (numeric) = -0.333871092191097 absolute error = 3.904099266094363e-13 relative error = 1.169343305668509e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9426187425462029 y1[1] (numeric) = -0.9426187425460406 absolute error = 1.623146062001979e-13 relative error = 1.72195394462191e-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) = -0.3348135438406173 y2[1] (numeric) = -0.334813543841008 absolute error = 3.906319712143613e-13 relative error = 1.166714962404016e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9422844002003254 y1[1] (numeric) = -0.9422844002001627 absolute error = 1.627586954100479e-13 relative error = 1.727277830084486e-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) = -0.3357556606770122 y2[1] (numeric) = -0.335755660677403 absolute error = 3.907985046680551e-13 relative error = 1.163937203262799e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9419491155701263 y1[1] (numeric) = -0.9419491155699631 absolute error = 1.63202784619898e-13 relative error = 1.732607228163461e-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) = -0.3366974417577744 y2[1] (numeric) = -0.3366974417581654 absolute error = 3.910205492729801e-13 relative error = 1.161341016526899e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.94161288899089 y1[1] (numeric) = -0.9416128889907264 absolute error = 1.636468738297481e-13 relative error = 1.737942160128305e-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) = -0.3376388861411229 y2[1] (numeric) = -0.337638886141514 absolute error = 3.911870827266739e-13 relative error = 1.158596058639909e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9412757207988433 y1[1] (numeric) = -0.9412757207986792 absolute error = 1.640909630395981e-13 relative error = 1.743282647302718e-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) = -0.3385799928856133 y2[1] (numeric) = -0.3385799928860047 absolute error = 3.914091273315989e-13 relative error = 1.156031471309746e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9409376113311542 y1[1] (numeric) = -0.9409376113309896 absolute error = 1.645350522494482e-13 relative error = 1.7486287110649e-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) = -0.3395207610501391 y2[1] (numeric) = -0.3395207610505307 absolute error = 3.915756607852927e-13 relative error = 1.153318753098183e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9405985609259321 y1[1] (numeric) = -0.9405985609257672 absolute error = 1.648681191568357e-13 relative error = 1.752800036123151e-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) = -0.3404611896939321 y2[1] (numeric) = -0.3404611896943239 absolute error = 3.917977053902177e-13 relative error = 1.150785220901202e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9402585699222274 y1[1] (numeric) = -0.9402585699220622 absolute error = 1.652011860642233e-13 relative error = 1.756976127086911e-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) = -0.3414012778765638 y2[1] (numeric) = -0.3414012778769558 absolute error = 3.920197499951428e-13 relative error = 1.148266791599065e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9399176386600313 y1[1] (numeric) = -0.9399176386598657 absolute error = 1.656452752740734e-13 relative error = 1.762338192846569e-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) = -0.3423410246579461 y2[1] (numeric) = -0.3423410246583383 absolute error = 3.921862834488365e-13 relative error = 1.145601184785533e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9395757674802748 y1[1] (numeric) = -0.9395757674801087 absolute error = 1.660893644839234e-13 relative error = 1.767705918271357e-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) = -0.3432804290983323 y2[1] (numeric) = -0.3432804290987247 absolute error = 3.924083280537616e-13 relative error = 1.143113020117312e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9392329567248292 y1[1] (numeric) = -0.9392329567246627 absolute error = 1.665334536937735e-13 relative error = 1.773079325010988e-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) = -0.3442194902583179 y2[1] (numeric) = -0.3442194902587106 absolute error = 3.926303726586866e-13 relative error = 1.140639573790662e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9388892067365051 y1[1] (numeric) = -0.9388892067363381 absolute error = 1.669775429036235e-13 relative error = 1.778458434771261e-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) = -0.345158207198842 y2[1] (numeric) = -0.3451582071992348 absolute error = 3.927969061123804e-13 relative error = 1.138019893254615e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9385445178590525 y1[1] (numeric) = -0.938544517858885 absolute error = 1.674216321134736e-13 relative error = 1.783843269314333e-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) = -0.3460965789811877 y2[1] (numeric) = -0.3460965789815807 absolute error = 3.930189507173054e-13 relative error = 1.135575947830066e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9381988904371602 y1[1] (numeric) = -0.9381988904369923 absolute error = 1.678657213233237e-13 relative error = 1.789233850458995e-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) = -0.3470346046669832 y2[1] (numeric) = -0.3470346046673764 absolute error = 3.931854841709992e-13 relative error = 1.132986390646266e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9378523248164556 y1[1] (numeric) = -0.9378523248162874 absolute error = 1.681987882307112e-13 relative error = 1.793446407072978e-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) = -0.347972283318203 y2[1] (numeric) = -0.3479722833185964 absolute error = 3.934075287759242e-13 relative error = 1.13057144961219e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9375048213435045 y1[1] (numeric) = -0.9375048213433358 absolute error = 1.687538997430238e-13 relative error = 1.800032340113074e-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) = -0.3489096139971684 y2[1] (numeric) = -0.348909613997562 absolute error = 3.93574062229618e-13 relative error = 1.128011514846971e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9371563803658101 y1[1] (numeric) = -0.937156380365641 absolute error = 1.690869666504113e-13 relative error = 1.804255620437753e-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) = -0.3498465957665489 y2[1] (numeric) = -0.3498465957669427 absolute error = 3.93796106834543e-13 relative error = 1.125625092825889e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9368070022318135 y1[1] (numeric) = -0.9368070022316439 absolute error = 1.695310558602614e-13 relative error = 1.809668965500653e-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) = -0.3507832276893628 y2[1] (numeric) = -0.3507832276897568 absolute error = 3.940181514394681e-13 relative error = 1.12325253985174e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9364566872908926 y1[1] (numeric) = -0.9364566872907226 absolute error = 1.699751450701115e-13 relative error = 1.815088165602601e-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) = -0.3517195088289783 y2[1] (numeric) = -0.3517195088293725 absolute error = 3.941846848931618e-13 relative error = 1.120735913130232e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9361054358933625 y1[1] (numeric) = -0.9361054358931921 absolute error = 1.704192342799615e-13 relative error = 1.820513242905418e-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) = -0.3526554382491142 y2[1] (numeric) = -0.3526554382495086 absolute error = 3.944067294980869e-13 relative error = 1.118391173708428e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9357532483904746 y1[1] (numeric) = -0.9357532483903037 absolute error = 1.708633234898116e-13 relative error = 1.825944219629501e-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) = -0.3535910150138413 y2[1] (numeric) = -0.3535910150142359 absolute error = 3.945732629517806e-13 relative error = 1.115902967546659e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9354001251344162 y1[1] (numeric) = -0.9354001251342449 absolute error = 1.713074126996617e-13 relative error = 1.831381118054105e-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) = -0.3545262381875828 y2[1] (numeric) = -0.3545262381879776 absolute error = 3.947953075567057e-13 relative error = 1.11358558276247e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9350460664783106 y1[1] (numeric) = -0.9350460664781388 absolute error = 1.717515019095117e-13 relative error = 1.836823960517625e-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) = -0.3554611068351157 y2[1] (numeric) = -0.3554611068355107 absolute error = 3.949618410103994e-13 relative error = 1.111125333871215e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9346910727762165 y1[1] (numeric) = -0.9346910727760442 absolute error = 1.723066134218243e-13 relative error = 1.843460566174445e-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) = -0.3563956200215714 y2[1] (numeric) = -0.3563956200219666 absolute error = 3.951838856153245e-13 relative error = 1.108834854904798e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9343351443831275 y1[1] (numeric) = -0.9343351443829548 absolute error = 1.726396803292118e-13 relative error = 1.847727567212438e-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) = -0.3573297768124367 y2[1] (numeric) = -0.3573297768128321 absolute error = 3.954059302202495e-13 relative error = 1.106557460023263e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.933978281654972 y1[1] (numeric) = -0.9339782816547989 absolute error = 1.730837695390619e-13 relative error = 1.853188376418822e-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) = -0.358263576273555 y2[1] (numeric) = -0.3582635762739506 absolute error = 3.955724636739433e-13 relative error = 1.104138097956965e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9336204849486126 y1[1] (numeric) = -0.9336204849484391 absolute error = 1.73527858748912e-13 relative error = 1.858655219614886e-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) = -0.3591970174711269 y2[1] (numeric) = -0.3591970174715227 absolute error = 3.957945082788683e-13 relative error = 1.101886956259828e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9332617546218461 y1[1] (numeric) = -0.9332617546216722 absolute error = 1.73971947958762e-13 relative error = 1.864128119439061e-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) = -0.3601300994717113 y2[1] (numeric) = -0.3601300994721073 absolute error = 3.959610417325621e-13 relative error = 1.099494439130227e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9329020910334028 y1[1] (numeric) = -0.9329020910332284 absolute error = 1.744160371686121e-13 relative error = 1.869607098590661e-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) = -0.3610628213422262 y2[1] (numeric) = -0.3610628213426224 absolute error = 3.961830863374871e-13 relative error = 1.097269125812244e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9325414945429461 y1[1] (numeric) = -0.9325414945427714 absolute error = 1.747491040759996e-13 relative error = 1.873901645112822e-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) = -0.3619951821499499 y2[1] (numeric) = -0.3619951821503462 absolute error = 3.963496197911809e-13 relative error = 1.094903024502134e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9321799655110726 y1[1] (numeric) = -0.9321799655108974 absolute error = 1.751931932858497e-13 relative error = 1.879392389534988e-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) = -0.3629271809625215 y2[1] (numeric) = -0.362927180962918 absolute error = 3.965716643961059e-13 relative error = 1.092703123927934e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9318175042993114 y1[1] (numeric) = -0.9318175042991357 absolute error = 1.757483047981623e-13 relative error = 1.886080739922543e-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) = -0.3638588168479424 y2[1] (numeric) = -0.3638588168483392 absolute error = 3.967381978497997e-13 relative error = 1.09036301851e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9314541112701235 y1[1] (numeric) = -0.9314541112699473 absolute error = 1.761923940080123e-13 relative error = 1.891584264604918e-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) = -0.3647900888745769 y2[1] (numeric) = -0.3647900888749738 absolute error = 3.969047313034935e-13 relative error = 1.088035951108196e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9310897867869018 y1[1] (numeric) = -0.9310897867867253 absolute error = 1.765254609153999e-13 relative error = 1.895901592096415e-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) = -0.3657209961111528 y2[1] (numeric) = -0.3657209961115499 absolute error = 3.971267759084185e-13 relative error = 1.085873603460603e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.930724531213971 y1[1] (numeric) = -0.9307245312137941 absolute error = 1.7696955012525e-13 relative error = 1.901417059400201e-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) = -0.3666515376267631 y2[1] (numeric) = -0.3666515376271604 absolute error = 3.973488205133435e-13 relative error = 1.083723316927227e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9303583449165866 y1[1] (numeric) = -0.9303583449164092 absolute error = 1.774136393351e-13 relative error = 1.906938765094931e-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) = -0.3675817124908663 y2[1] (numeric) = -0.3675817124912638 absolute error = 3.975153539670373e-13 relative error = 1.081433979055514e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9299912282609348 y1[1] (numeric) = -0.929991228260757 absolute error = 1.778577285449501e-13 relative error = 1.91246673237489e-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) = -0.3685115197732877 y2[1] (numeric) = -0.3685115197736853 absolute error = 3.976818874207311e-13 relative error = 1.079157274826549e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9296231816141322 y1[1] (numeric) = -0.929623181613954 absolute error = 1.781907954523376e-13 relative error = 1.916806712402973e-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) = -0.36944095854422 y2[1] (numeric) = -0.3694409585446178 absolute error = 3.978484208744248e-13 relative error = 1.076893104766034e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9292542053442254 y1[1] (numeric) = -0.9292542053440468 absolute error = 1.786348846621877e-13 relative error = 1.922346798484658e-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) = -0.3703700278742246 y2[1] (numeric) = -0.3703700278746226 absolute error = 3.980149543281186e-13 relative error = 1.074641370449345e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9288842998201908 y1[1] (numeric) = -0.9288842998200117 absolute error = 1.790789738720377e-13 relative error = 1.927893214544621e-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) = -0.3712987268342321 y2[1] (numeric) = -0.3712987268346303 absolute error = 3.982369989330437e-13 relative error = 1.072551479851527e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9285134654119338 y1[1] (numeric) = -0.9285134654117543 absolute error = 1.795230630818878e-13 relative error = 1.933445984030427e-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) = -0.3722270544955437 y2[1] (numeric) = -0.3722270544959422 absolute error = 3.984590435379687e-13 relative error = 1.070473085514903e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9281417024902887 y1[1] (numeric) = -0.9281417024901087 absolute error = 1.799671522917379e-13 relative error = 1.93900513045443e-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) = -0.3731550099298319 y2[1] (numeric) = -0.3731550099302305 absolute error = 3.986255769916625e-13 relative error = 1.068257336452806e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9277690114270184 y1[1] (numeric) = -0.9277690114268381 absolute error = 1.803002191991254e-13 relative error = 1.94337401851569e-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) = -0.3740825922091413 y2[1] (numeric) = -0.37408259220954 absolute error = 3.987921104453562e-13 relative error = 1.066053643636003e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9273953925948141 y1[1] (numeric) = -0.9273953925946333 absolute error = 1.807443084089755e-13 relative error = 1.948945507517137e-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) = -0.3750098004058895 y2[1] (numeric) = -0.3750098004062885 absolute error = 3.9895864389905e-13 relative error = 1.063861913654629e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9270208463672944 y1[1] (numeric) = -0.9270208463671132 absolute error = 1.811883976188255e-13 relative error = 1.954523442799009e-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) = -0.3759366335928687 y2[1] (numeric) = -0.3759366335932678 absolute error = 3.991251773527438e-13 relative error = 1.061682054069218e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9266453731190056 y1[1] (numeric) = -0.926645373118824 absolute error = 1.816324868286756e-13 relative error = 1.960107848133066e-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) = -0.3768630908432456 y2[1] (numeric) = -0.3768630908436449 absolute error = 3.992917108064375e-13 relative error = 1.059513973398156e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.926268973225421 y1[1] (numeric) = -0.9262689732252389 absolute error = 1.820765760385257e-13 relative error = 1.965698747357423e-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) = -0.377789171230563 y2[1] (numeric) = -0.3777891712309625 absolute error = 3.994582442601313e-13 relative error = 1.057357581105319e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9258916470629402 y1[1] (numeric) = -0.9258916470627577 absolute error = 1.825206652483757e-13 relative error = 1.971296164376871e-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) = -0.3787148738287408 y2[1] (numeric) = -0.3787148738291404 absolute error = 3.996247777138251e-13 relative error = 1.055212787587899e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9255133950088896 y1[1] (numeric) = -0.9255133950087067 absolute error = 1.829647544582258e-13 relative error = 1.976900123163192e-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) = -0.3796401977120761 y2[1] (numeric) = -0.379640197712476 absolute error = 3.998468223187501e-13 relative error = 1.053225724589889e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9251342174415211 y1[1] (numeric) = -0.9251342174413377 absolute error = 1.834088436680759e-13 relative error = 1.98251064775549e-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) = -0.3805651419552455 y2[1] (numeric) = -0.3805651419556455 absolute error = 4.000133557724439e-13 relative error = 1.051103508107123e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9247541147400123 y1[1] (numeric) = -0.9247541147398285 absolute error = 1.838529328779259e-13 relative error = 1.98812776226051e-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) = -0.3814897056333046 y2[1] (numeric) = -0.3814897056337048 absolute error = 4.001798892261377e-13 relative error = 1.048992628940815e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9243730872844658 y1[1] (numeric) = -0.9243730872842816 absolute error = 1.841859997853135e-13 relative error = 1.992550435737992e-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) = -0.3824138878216899 y2[1] (numeric) = -0.3824138878220903 absolute error = 4.004019338310627e-13 relative error = 1.04703816096177e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9239911354559091 y1[1] (numeric) = -0.9239911354557243 absolute error = 1.84741111297626e-13 relative error = 1.999381857775859e-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) = -0.3833376875962192 y2[1] (numeric) = -0.3833376875966198 absolute error = 4.005684672847565e-13 relative error = 1.044949349479791e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9236082596362938 y1[1] (numeric) = -0.9236082596361086 absolute error = 1.851852005074761e-13 relative error = 2.005018887340829e-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) = -0.3842611040330929 y2[1] (numeric) = -0.3842611040334936 absolute error = 4.007350007384503e-13 relative error = 1.042871621750034e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9232244602084959 y1[1] (numeric) = -0.9232244602083103 absolute error = 1.856292897173262e-13 relative error = 2.01066260392846e-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) = -0.3851841362088945 y2[1] (numeric) = -0.3851841362092955 absolute error = 4.009570453433753e-13 relative error = 1.040949010231114e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9228397375563147 y1[1] (numeric) = -0.9228397375561287 absolute error = 1.859623566247137e-13 relative error = 2.015109981253551e-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) = -0.3861067832005921 y2[1] (numeric) = -0.3861067832009932 absolute error = 4.011790899483003e-13 relative error = 1.039036627698607e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9224540920644728 y1[1] (numeric) = -0.9224540920642864 absolute error = 1.864064458345638e-13 relative error = 2.020766642352705e-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) = -0.3870290440855386 y2[1] (numeric) = -0.3870290440859399 absolute error = 4.013456234019941e-13 relative error = 1.036990968856827e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9220675241186158 y1[1] (numeric) = -0.922067524118429 absolute error = 1.868505350444138e-13 relative error = 2.026430062408067e-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) = -0.3879509179414732 y2[1] (numeric) = -0.3879509179418748 absolute error = 4.015676680069191e-13 relative error = 1.035099156712139e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9216800341053115 y1[1] (numeric) = -0.9216800341051242 absolute error = 1.872946242542639e-13 relative error = 2.032100266076324e-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) = -0.3888724038465223 y2[1] (numeric) = -0.3888724038469241 absolute error = 4.017342014606129e-13 relative error = 1.033074595900528e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.92129162241205 y1[1] (numeric) = -0.9212916224118621 absolute error = 1.878497357665765e-13 relative error = 2.03898235039589e-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) = -0.3897935008792 y2[1] (numeric) = -0.3897935008796019 absolute error = 4.019562460655379e-13 relative error = 1.03120304766217e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9209022894272427 y1[1] (numeric) = -0.9209022894270544 absolute error = 1.882938249764265e-13 relative error = 2.044666705015321e-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) = -0.3907142081184092 y2[1] (numeric) = -0.3907142081188113 absolute error = 4.020672683680004e-13 relative error = 1.029057198365693e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9205120355402228 y1[1] (numeric) = -0.920512035540034 absolute error = 1.887379141862766e-13 relative error = 2.050357919280345e-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) = -0.3916345246434429 y2[1] (numeric) = -0.3916345246438452 absolute error = 4.022893129729255e-13 relative error = 1.0272059475328e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.920120861141244 y1[1] (numeric) = -0.9201208611410548 absolute error = 1.891820033961267e-13 relative error = 2.056056018135275e-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) = -0.3925544495339846 y2[1] (numeric) = -0.3925544495343871 absolute error = 4.025113575778505e-13 relative error = 1.025364399908563e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9197287666214808 y1[1] (numeric) = -0.9197287666212912 absolute error = 1.896260926059767e-13 relative error = 2.061761026596424e-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) = -0.3934739818701094 y2[1] (numeric) = -0.3934739818705121 absolute error = 4.026778910315443e-13 relative error = 1.023391404731999e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9193357523730277 y1[1] (numeric) = -0.9193357523728376 absolute error = 1.900701818158268e-13 relative error = 2.067472969752451e-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) = -0.3943931207322852 y2[1] (numeric) = -0.394393120732688 absolute error = 4.028444244852381e-13 relative error = 1.021428628717613e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9189418187888987 y1[1] (numeric) = -0.9189418187887082 absolute error = 1.905142710256769e-13 relative error = 2.073191872764713e-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) = -0.3953118652013731 y2[1] (numeric) = -0.3953118652017761 absolute error = 4.030109579389318e-13 relative error = 1.019475997093173e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9185469662630276 y1[1] (numeric) = -0.9185469662628366 absolute error = 1.909583602355269e-13 relative error = 2.07891776086761e-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) = -0.3962302143586287 y2[1] (numeric) = -0.3962302143590319 absolute error = 4.031774913926256e-13 relative error = 1.017533435821502e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9181511951902667 y1[1] (numeric) = -0.9181511951900753 absolute error = 1.91402449445377e-13 relative error = 2.08465065936894e-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) = -0.397148167285703 y2[1] (numeric) = -0.3971481672861064 absolute error = 4.033440248463194e-13 relative error = 1.015600871591481e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9177545059663871 y1[1] (numeric) = -0.9177545059661952 absolute error = 1.918465386552271e-13 relative error = 2.090390593650253e-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) = -0.3980657230646432 y2[1] (numeric) = -0.3980657230650467 absolute error = 4.035105583000131e-13 relative error = 1.013678231809187e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.917356898988078 y1[1] (numeric) = -0.9173568989878857 absolute error = 1.922906278650771e-13 relative error = 2.096137589167203e-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) = -0.3989828807778933 y2[1] (numeric) = -0.3989828807782971 absolute error = 4.037326029049382e-13 relative error = 1.011904576250952e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9169583746529465 y1[1] (numeric) = -0.9169583746527538 absolute error = 1.927347170749272e-13 relative error = 2.101891671449907e-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) = -0.399899639508296 y2[1] (numeric) = -0.3998996395086999 absolute error = 4.038991363586319e-13 relative error = 1.010001251452123e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9165589333595167 y1[1] (numeric) = -0.9165589333593235 absolute error = 1.931788062847772e-13 relative error = 2.107652866103304e-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) = -0.4008159983390925 y2[1] (numeric) = -0.4008159983394967 absolute error = 4.04121180963557e-13 relative error = 1.00824613448106e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9161585755072298 y1[1] (numeric) = -0.9161585755070363 absolute error = 1.935118731921648e-13 relative error = 2.112209374725628e-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) = -0.4017319563539241 y2[1] (numeric) = -0.4017319563543284 absolute error = 4.042877144172508e-13 relative error = 1.006361849046121e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9157573014964439 y1[1] (numeric) = -0.9157573014962499 absolute error = 1.939559624020148e-13 relative error = 2.117984340229342e-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) = -0.4026475126368328 y2[1] (numeric) = -0.4026475126372373 absolute error = 4.044542478709445e-13 relative error = 1.004487138694288e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9153551117284328 y1[1] (numeric) = -0.9153551117282382 absolute error = 1.945110739143274e-13 relative error = 2.124979381466926e-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) = -0.4035626662722624 y2[1] (numeric) = -0.4035626662726671 absolute error = 4.046207813246383e-13 relative error = 1.002621934933054e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9149520066053861 y1[1] (numeric) = -0.9149520066051912 absolute error = 1.949551631241775e-13 relative error = 2.130769283161544e-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) = -0.4044774163450594 y2[1] (numeric) = -0.4044774163454642 absolute error = 4.048428259295633e-13 relative error = 1.000903411586748e-10 % Correct digits = 11 h = 0.001 y1[1] (analytic) = -0.9145479865304091 y1[1] (numeric) = -0.9145479865302137 absolute error = 1.953992523340276e-13 relative error = 2.136566426386533e-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) = -0.4053917619404738 y2[1] (numeric) = -0.4053917619408788 absolute error = 4.050093593832571e-13 relative error = 9.990567086134502e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9141430519075219 y1[1] (numeric) = -0.914143051907326 absolute error = 1.958433415438776e-13 relative error = 2.142370837203386e-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) = -0.4063057021441599 y2[1] (numeric) = -0.4063057021445651 absolute error = 4.052314039881821e-13 relative error = 9.973559363053276e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9137372031416588 y1[1] (numeric) = -0.9137372031414626 absolute error = 1.962874307537277e-13 relative error = 2.148182541750976e-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) = -0.4072192360421778 y2[1] (numeric) = -0.4072192360425832 absolute error = 4.053979374418759e-13 relative error = 9.955274740505794e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9133304406386689 y1[1] (numeric) = -0.9133304406384721 absolute error = 1.967315199635777e-13 relative error = 2.154001566245929e-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) = -0.4081323627209936 y2[1] (numeric) = -0.4081323627213991 absolute error = 4.055644708955697e-13 relative error = 9.937081886662849e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9129227648053143 y1[1] (numeric) = -0.9129227648051171 absolute error = 1.971756091734278e-13 relative error = 2.159827936982999e-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) = -0.4090450812674807 y2[1] (numeric) = -0.4090450812678864 absolute error = 4.057310043492635e-13 relative error = 9.918980154755849e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9125141760492711 y1[1] (numeric) = -0.9125141760490735 absolute error = 1.976196983832779e-13 relative error = 2.165661680335445e-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) = -0.4099573907689206 y2[1] (numeric) = -0.4099573907693265 absolute error = 4.058975378029572e-13 relative error = 9.900968904150048e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9121046747791278 y1[1] (numeric) = -0.9121046747789298 absolute error = 1.980637875931279e-13 relative error = 2.171502822755408e-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) = -0.4108692903130038 y2[1] (numeric) = -0.4108692903134099 absolute error = 4.06064071256651e-13 relative error = 9.883047500272113e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9116942614043858 y1[1] (numeric) = -0.9116942614041873 absolute error = 1.98507876802978e-13 relative error = 2.177351390774291e-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) = -0.4117807789878311 y2[1] (numeric) = -0.4117807789882373 absolute error = 4.062306047103448e-13 relative error = 9.865215314538751e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9112829363354583 y1[1] (numeric) = -0.9112829363352594 absolute error = 1.989519660128281e-13 relative error = 2.183207411003146e-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) = -0.4126918558819136 y2[1] (numeric) = -0.41269185588232 absolute error = 4.063971381640386e-13 relative error = 9.847471724286311e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9108706999836705 y1[1] (numeric) = -0.910870699983471 absolute error = 1.995070775251406e-13 relative error = 2.190289769214415e-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) = -0.4136025200841746 y2[1] (numeric) = -0.4136025200845812 absolute error = 4.065636716177323e-13 relative error = 9.829816112701397e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9104575527612585 y1[1] (numeric) = -0.9104575527610587 absolute error = 1.998401444325282e-13 relative error = 2.194941914935496e-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) = -0.4145127706839501 y2[1] (numeric) = -0.4145127706843568 absolute error = 4.067302050714261e-13 relative error = 9.812247868752447e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9100434950813697 y1[1] (numeric) = -0.9100434950811694 absolute error = 2.002842336423782e-13 relative error = 2.200820452262781e-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) = -0.4154226067709894 y2[1] (numeric) = -0.4154226067713963 absolute error = 4.069522496763511e-13 relative error = 9.796102644473856e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9096285273580617 y1[1] (numeric) = -0.9096285273578609 absolute error = 2.007283228522283e-13 relative error = 2.206706549048396e-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) = -0.4163320274354565 y2[1] (numeric) = -0.4163320274358636 absolute error = 4.071187831300449e-13 relative error = 9.778704406620749e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.909212650006302 y1[1] (numeric) = -0.9092126500061009 absolute error = 2.011724120620784e-13 relative error = 2.212600232307414e-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) = -0.4172410317679309 y2[1] (numeric) = -0.4172410317683382 absolute error = 4.072853165837387e-13 relative error = 9.761391751381499e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9087958634419682 y1[1] (numeric) = -0.9087958634417665 absolute error = 2.016165012719284e-13 relative error = 2.218501529136887e-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) = -0.4181496188594083 y2[1] (numeric) = -0.4181496188598158 absolute error = 4.074518500374325e-13 relative error = 9.744164090089182e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9083781680818466 y1[1] (numeric) = -0.9083781680816445 absolute error = 2.020605904817785e-13 relative error = 2.224410466716242e-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) = -0.4190577878013017 y2[1] (numeric) = -0.4190577878017093 absolute error = 4.076183834911262e-13 relative error = 9.727020839531575e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9079595643436327 y1[1] (numeric) = -0.9079595643434301 absolute error = 2.026157019940911e-13 relative error = 2.231549839342931e-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) = -0.4199655376854422 y2[1] (numeric) = -0.41996553768585 absolute error = 4.0778491694482e-13 relative error = 9.70996142188825e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9075400526459301 y1[1] (numeric) = -0.907540052645727 absolute error = 2.030597912039411e-13 relative error = 2.237474705517635e-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) = -0.42087286760408 y2[1] (numeric) = -0.420872867604488 absolute error = 4.08006961549745e-13 relative error = 9.694304217623312e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9071196334082504 y1[1] (numeric) = -0.9071196334080469 absolute error = 2.035038804137912e-13 relative error = 2.243407296225987e-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) = -0.4217797766498853 y2[1] (numeric) = -0.4217797766502935 absolute error = 4.081734950034388e-13 relative error = 9.677407917598171e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.906698307051013 y1[1] (numeric) = -0.906698307050809 absolute error = 2.039479696236413e-13 relative error = 2.249347638984471e-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) = -0.4226862639159491 y2[1] (numeric) = -0.4226862639163574 absolute error = 4.083400284571326e-13 relative error = 9.660593762240893e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.906276073995544 y1[1] (numeric) = -0.9062760739953396 absolute error = 2.043920588334913e-13 relative error = 2.255295761393964e-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) = -0.4235923284957842 y2[1] (numeric) = -0.4235923284961927 absolute error = 4.085620730620576e-13 relative error = 9.645171679876725e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9058529346640765 y1[1] (numeric) = -0.9058529346638717 absolute error = 2.047251257408789e-13 relative error = 2.260026080467449e-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) = -0.4244979694833261 y2[1] (numeric) = -0.4244979694837348 absolute error = 4.087286065157514e-13 relative error = 9.628517352232138e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9054288894797499 y1[1] (numeric) = -0.9054288894795447 absolute error = 2.051692149507289e-13 relative error = 2.265989271323307e-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) = -0.4254031859729339 y2[1] (numeric) = -0.4254031859733428 absolute error = 4.088951399694452e-13 relative error = 9.611943526804262e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9050039388666092 y1[1] (numeric) = -0.9050039388664036 absolute error = 2.05613304160579e-13 relative error = 2.271960323378049e-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) = -0.4263079770593911 y2[1] (numeric) = -0.4263079770598002 absolute error = 4.090616734231389e-13 relative error = 9.595449661645682e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9045780832496052 y1[1] (numeric) = -0.904578083249399 absolute error = 2.061684156728916e-13 relative error = 2.279166602536427e-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) = -0.4272123418379069 y2[1] (numeric) = -0.4272123418383161 absolute error = 4.092282068768327e-13 relative error = 9.579035219729263e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9041513230545932 y1[1] (numeric) = -0.9041513230543866 absolute error = 2.066125048827416e-13 relative error = 2.285154040196723e-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) = -0.4281162794041163 y2[1] (numeric) = -0.4281162794045257 absolute error = 4.093947403305265e-13 relative error = 9.562699668892576e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9037236587083336 y1[1] (numeric) = -0.9037236587081265 absolute error = 2.070565940925917e-13 relative error = 2.291149424908625e-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) = -0.4290197888540822 y2[1] (numeric) = -0.4290197888544917 absolute error = 4.09505762632989e-13 relative error = 9.545148575239025e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9032950906384906 y1[1] (numeric) = -0.9032950906382831 absolute error = 2.075006833024418e-13 relative error = 2.297152784875325e-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) = -0.4299228692842948 y2[1] (numeric) = -0.4299228692847045 absolute error = 4.09727807237914e-13 relative error = 9.530263135803869e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9028656192736321 y1[1] (numeric) = -0.9028656192734242 absolute error = 2.078337502098293e-13 relative error = 2.30193448253168e-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) = -0.430825519791674 y2[1] (numeric) = -0.4308255197920839 absolute error = 4.098943406916078e-13 relative error = 9.514161113060631e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9024352450432296 y1[1] (numeric) = -0.9024352450430213 absolute error = 2.082778394196794e-13 relative error = 2.307953291537302e-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) = -0.4317277394735693 y2[1] (numeric) = -0.4317277394739794 absolute error = 4.100608741453016e-13 relative error = 9.498135900308667e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9020039683776573 y1[1] (numeric) = -0.9020039683774486 absolute error = 2.087219286295294e-13 relative error = 2.31398015914427e-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) = -0.4326295274277611 y2[1] (numeric) = -0.4326295274281713 absolute error = 4.102274075989953e-13 relative error = 9.482186988901112e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9015717897081919 y1[1] (numeric) = -0.9015717897079826 absolute error = 2.09277040141842e-13 relative error = 2.321246544433005e-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) = -0.4335308827524616 y2[1] (numeric) = -0.433530882752872 absolute error = 4.103939410526891e-13 relative error = 9.466313874737655e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9011387094670118 y1[1] (numeric) = -0.9011387094668021 absolute error = 2.097211293516921e-13 relative error = 2.327290206806607e-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) = -0.4344318045463154 y2[1] (numeric) = -0.434431804546726 absolute error = 4.105604745063829e-13 relative error = 9.450516058213976e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9007047280871973 y1[1] (numeric) = -0.9007047280869872 absolute error = 2.100541962590796e-13 relative error = 2.332109399549463e-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) = -0.4353322919084009 y2[1] (numeric) = -0.4353322919088116 absolute error = 4.107270079600767e-13 relative error = 9.434793044171842e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.9002698460027299 y1[1] (numeric) = -0.9002698460025192 absolute error = 2.106093077713922e-13 relative error = 2.339401999372903e-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) = -0.4362323439382307 y2[1] (numeric) = -0.4362323439386416 absolute error = 4.108935414137704e-13 relative error = 9.419144341849898e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8998340636484914 y1[1] (numeric) = -0.8998340636482803 absolute error = 2.110533969812423e-13 relative error = 2.345470187308752e-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) = -0.437131959735753 y2[1] (numeric) = -0.4371319597361641 absolute error = 4.111155860186955e-13 relative error = 9.404839359428571e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8993973814602643 y1[1] (numeric) = -0.8993973814600528 absolute error = 2.114974861910923e-13 relative error = 2.351546608326838e-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) = -0.4380311384013519 y2[1] (numeric) = -0.4380311384017632 absolute error = 4.112821194723892e-13 relative error = 9.389335218802332e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8989597998747306 y1[1] (numeric) = -0.8989597998745187 absolute error = 2.119415754009424e-13 relative error = 2.357631291526899e-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) = -0.438929879035849 y2[1] (numeric) = -0.4389298790362605 absolute error = 4.11448652926083e-13 relative error = 9.373903955453406e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.898521319329472 y1[1] (numeric) = -0.8985213193292596 absolute error = 2.123856646107924e-13 relative error = 2.36372426610074e-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) = -0.4398281807405036 y2[1] (numeric) = -0.4398281807409152 absolute error = 4.116151863797768e-13 relative error = 9.358545095650149e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8980819402629689 y1[1] (numeric) = -0.8980819402627561 absolute error = 2.128297538206425e-13 relative error = 2.369825561332671e-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) = -0.4407260426170141 y2[1] (numeric) = -0.4407260426174259 absolute error = 4.117817198334706e-13 relative error = 9.343258169821931e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8976416631146005 y1[1] (numeric) = -0.8976416631143872 absolute error = 2.132738430304926e-13 relative error = 2.375935206599966e-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) = -0.4416234637675188 y2[1] (numeric) = -0.4416234637679307 absolute error = 4.119482532871643e-13 relative error = 9.328042712513659e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8972004883246437 y1[1] (numeric) = -0.89720048832443 absolute error = 2.137179322403426e-13 relative error = 2.382053231373307e-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) = -0.4425204432945964 y2[1] (numeric) = -0.4425204432950086 absolute error = 4.121702978920894e-13 relative error = 9.314152693680138e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8967584163342733 y1[1] (numeric) = -0.8967584163340592 absolute error = 2.141620214501927e-13 relative error = 2.38817966521724e-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) = -0.4434169803012676 y2[1] (numeric) = -0.44341698030168 absolute error = 4.123368313457831e-13 relative error = 9.299076256972209e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8963154475855614 y1[1] (numeric) = -0.8963154475853468 absolute error = 2.146061106600428e-13 relative error = 2.394314537790633e-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) = -0.4443130738909955 y2[1] (numeric) = -0.444313073891408 absolute error = 4.125033647994769e-13 relative error = 9.28406992814885e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8958715825214766 y1[1] (numeric) = -0.8958715825212614 absolute error = 2.151612221723553e-13 relative error = 2.401697144659651e-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) = -0.4452087231676866 y2[1] (numeric) = -0.4452087231680992 absolute error = 4.126143871019394e-13 relative error = 9.267886400925919e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8954268215858838 y1[1] (numeric) = -0.8954268215856682 absolute error = 2.156053113822054e-13 relative error = 2.407849599594844e-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) = -0.4461039272356915 y2[1] (numeric) = -0.4461039272361043 absolute error = 4.128364317068645e-13 relative error = 9.254265800012769e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8949811652235442 y1[1] (numeric) = -0.894981165223328 absolute error = 2.16160422894518e-13 relative error = 2.415251083418347e-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) = -0.4469986851998064 y2[1] (numeric) = -0.4469986852002194 absolute error = 4.130029651605582e-13 relative error = 9.239467113330496e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8945346138801139 y1[1] (numeric) = -0.8945346138798973 absolute error = 2.16604512104368e-13 relative error = 2.421421247913806e-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) = -0.4478929961652733 y2[1] (numeric) = -0.4478929961656865 absolute error = 4.13169498614252e-13 relative error = 9.224736759710163e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8940871680021442 y1[1] (numeric) = -0.8940871680019272 absolute error = 2.169375790117556e-13 relative error = 2.426358265453099e-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) = -0.4487868592377814 y2[1] (numeric) = -0.4487868592381948 absolute error = 4.133360320679458e-13 relative error = 9.210074304981985e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8936388280370811 y1[1] (numeric) = -0.8936388280368636 absolute error = 2.174926905240682e-13 relative error = 2.433787383677149e-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) = -0.4496802735234677 y2[1] (numeric) = -0.4496802735238812 absolute error = 4.135025655216396e-13 relative error = 9.19547931870887e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8931895944332644 y1[1] (numeric) = -0.8931895944330464 absolute error = 2.180478020363807e-13 relative error = 2.441226402494464e-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) = -0.4505732381289179 y2[1] (numeric) = -0.4505732381293316 absolute error = 4.137246101265646e-13 relative error = 9.18218338587144e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8927394676399276 y1[1] (numeric) = -0.8927394676397091 absolute error = 2.184918912462308e-13 relative error = 2.447431744267366e-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) = -0.4514657521611676 y2[1] (numeric) = -0.4514657521615815 absolute error = 4.138911435802584e-13 relative error = 9.167719624333862e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8922884481071977 y1[1] (numeric) = -0.8922884481069787 absolute error = 2.189359804560809e-13 relative error = 2.453645801652005e-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) = -0.4523578147277026 y2[1] (numeric) = -0.4523578147281168 absolute error = 4.141131881851834e-13 relative error = 9.15454922414592e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8918365362860939 y1[1] (numeric) = -0.8918365362858746 absolute error = 2.193800696659309e-13 relative error = 2.459868605288398e-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) = -0.4532494249364607 y2[1] (numeric) = -0.453249424936875 absolute error = 4.142797216388772e-13 relative error = 9.140215052604942e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8913837326285283 y1[1] (numeric) = -0.8913837326283084 absolute error = 2.199351811782435e-13 relative error = 2.467345691060512e-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) = -0.4541405818958316 y2[1] (numeric) = -0.4541405818962461 absolute error = 4.144462550925709e-13 relative error = 9.125946273342171e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8909300375873043 y1[1] (numeric) = -0.8909300375870839 absolute error = 2.203792703880936e-13 relative error = 2.473586713777153e-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) = -0.4550312847146585 y2[1] (numeric) = -0.4550312847150731 absolute error = 4.146127885462647e-13 relative error = 9.111742477360882e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.890475451616117 y1[1] (numeric) = -0.890475451615896 absolute error = 2.209343819004062e-13 relative error = 2.481083352712689e-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) = -0.4559215325022385 y2[1] (numeric) = -0.4559215325026533 absolute error = 4.147793219999585e-13 relative error = 9.097603259129287e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8900199751695522 y1[1] (numeric) = -0.8900199751693308 absolute error = 2.213784711102562e-13 relative error = 2.487342725853796e-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) = -0.4568113243683241 y2[1] (numeric) = -0.4568113243687391 absolute error = 4.150013666048835e-13 relative error = 9.084743404265315e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8895636087030864 y1[1] (numeric) = -0.8895636087028647 absolute error = 2.217115380176438e-13 relative error = 2.492362950198488e-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) = -0.4577006594231233 y2[1] (numeric) = -0.4577006594235385 absolute error = 4.151679000585773e-13 relative error = 9.070729777445515e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.889106352673086 y1[1] (numeric) = -0.8891063526728639 absolute error = 2.221556272274938e-13 relative error = 2.49863952225272e-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) = -0.4585895367773013 y2[1] (numeric) = -0.4585895367777166 absolute error = 4.153344335122711e-13 relative error = 9.056779542573043e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8886482075368072 y1[1] (numeric) = -0.8886482075365845 absolute error = 2.227107387398064e-13 relative error = 2.506174398946074e-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) = -0.4594779555419807 y2[1] (numeric) = -0.4594779555423962 absolute error = 4.155009669659648e-13 relative error = 9.042892307550588e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8881891737523947 y1[1] (numeric) = -0.8881891737521715 absolute error = 2.231548279496565e-13 relative error = 2.512469579052385e-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) = -0.4603659148287428 y2[1] (numeric) = -0.4603659148291585 absolute error = 4.156675004196586e-13 relative error = 9.02906768356836e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8877292517788826 y1[1] (numeric) = -0.8877292517786589 absolute error = 2.23709939461969e-13 relative error = 2.520024422014778e-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) = -0.4612534137496285 y2[1] (numeric) = -0.4612534137500444 absolute error = 4.158340338733524e-13 relative error = 9.015305285069823e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8872684420761926 y1[1] (numeric) = -0.8872684420759686 absolute error = 2.240430063693566e-13 relative error = 2.525087062097012e-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) = -0.4621404514171389 y2[1] (numeric) = -0.4621404514175549 absolute error = 4.160005673270462e-13 relative error = 9.001604729717854e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8868067451051346 y1[1] (numeric) = -0.88680674510491 absolute error = 2.245981178816692e-13 relative error = 2.532661361918736e-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) = -0.4630270269442364 y2[1] (numeric) = -0.4630270269446525 absolute error = 4.161671007807399e-13 relative error = 8.987965638361324e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8863441613274052 y1[1] (numeric) = -0.8863441613271802 absolute error = 2.250422070915192e-13 relative error = 2.538993507380834e-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) = -0.4639131394443455 y2[1] (numeric) = -0.4639131394447618 absolute error = 4.163336342344337e-13 relative error = 8.974387635002095e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8858806912055885 y1[1] (numeric) = -0.8858806912053629 absolute error = 2.255973186038318e-13 relative error = 2.546588054615098e-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) = -0.4647987880313538 y2[1] (numeric) = -0.4647987880317703 absolute error = 4.165556788393587e-13 relative error = 8.962064651753336e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8854163352031544 y1[1] (numeric) = -0.8854163352029284 absolute error = 2.260414078136819e-13 relative error = 2.552939208669758e-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) = -0.4656839718196128 y2[1] (numeric) = -0.4656839718200295 absolute error = 4.167222122930525e-13 relative error = 8.948605438678785e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8849510937844588 y1[1] (numeric) = -0.8849510937842324 absolute error = 2.263744747210694e-13 relative error = 2.558045029957394e-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) = -0.4665686899239388 y2[1] (numeric) = -0.4665686899243557 absolute error = 4.168887457467463e-13 relative error = 8.935206214002669e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8844849674147433 y1[1] (numeric) = -0.8844849674145163 absolute error = 2.26929586233382e-13 relative error = 2.565669226653714e-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) = -0.4674529414596138 y2[1] (numeric) = -0.4674529414600308 absolute error = 4.169997680492088e-13 relative error = 8.920679090116198e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8840179565601339 y1[1] (numeric) = -0.8840179565599066 absolute error = 2.273736754432321e-13 relative error = 2.572048155311032e-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) = -0.4683367255423863 y2[1] (numeric) = -0.4683367255428034 absolute error = 4.171663015029026e-13 relative error = 8.907400994867045e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8835500616876417 y1[1] (numeric) = -0.8835500616874139 absolute error = 2.278177646530821e-13 relative error = 2.578436407077313e-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) = -0.4692200412884722 y2[1] (numeric) = -0.4692200412888896 absolute error = 4.173328349565963e-13 relative error = 8.894181796041911e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8830812832651616 y1[1] (numeric) = -0.8830812832649332 absolute error = 2.283728761653947e-13 relative error = 2.586091229575087e-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) = -0.4701028878145559 y2[1] (numeric) = -0.4701028878149735 absolute error = 4.175548795615214e-13 relative error = 8.882201968651521e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8826116217614716 y1[1] (numeric) = -0.8826116217612427 absolute error = 2.288169653752448e-13 relative error = 2.592498894571357e-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) = -0.4709852642377911 y2[1] (numeric) = -0.4709852642382088 absolute error = 4.177214130152151e-13 relative error = 8.86909728887645e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8821410776462335 y1[1] (numeric) = -0.8821410776460041 absolute error = 2.293720768875573e-13 relative error = 2.600174537836711e-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) = -0.4718671696758012 y2[1] (numeric) = -0.4718671696762191 absolute error = 4.178879464689089e-13 relative error = 8.856050459200648e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8816696513899912 y1[1] (numeric) = -0.8816696513897614 absolute error = 2.298161660974074e-13 relative error = 2.606601755375067e-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) = -0.472748603246681 y2[1] (numeric) = -0.4727486032470991 absolute error = 4.180544799226027e-13 relative error = 8.843061133370735e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.881197343464171 y1[1] (numeric) = -0.8811973434639407 absolute error = 2.302602553072575e-13 relative error = 2.613038464256556e-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) = -0.4736295640689969 y2[1] (numeric) = -0.4736295640694151 absolute error = 4.182210133762965e-13 relative error = 8.830128967949545e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8807241543410808 y1[1] (numeric) = -0.8807241543408501 absolute error = 2.307043445171075e-13 relative error = 2.619484697677111e-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) = -0.4745100512617883 y2[1] (numeric) = -0.4745100512622066 absolute error = 4.18332035678759e-13 relative error = 8.816083759792988e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8802500844939096 y1[1] (numeric) = -0.8802500844936784 absolute error = 2.312594560294201e-13 relative error = 2.627201747584952e-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) = -0.4753900639445679 y2[1] (numeric) = -0.4753900639449864 absolute error = 4.184985691324528e-13 relative error = 8.803267061577692e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8797751343967274 y1[1] (numeric) = -0.8797751343964956 absolute error = 2.318145675417327e-13 relative error = 2.634929750551438e-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) = -0.4762696012373232 y2[1] (numeric) = -0.4762696012377419 absolute error = 4.186651025861465e-13 relative error = 8.790506500907821e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8792993045244839 y1[1] (numeric) = -0.8792993045242518 absolute error = 2.321476344491202e-13 relative error = 2.640143501246863e-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) = -0.4771486622605169 y2[1] (numeric) = -0.4771486622609358 absolute error = 4.188316360398403e-13 relative error = 8.777801745384831e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8788225953530093 y1[1] (numeric) = -0.8788225953527766 absolute error = 2.327027459614328e-13 relative error = 2.647892159258374e-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) = -0.4780272461350882 y2[1] (numeric) = -0.4780272461355072 absolute error = 4.189981694935341e-13 relative error = 8.765152465287036e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8783450073590126 y1[1] (numeric) = -0.8783450073587794 absolute error = 2.331468351712829e-13 relative error = 2.654387891066898e-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) = -0.4789053519824531 y2[1] (numeric) = -0.4789053519828723 absolute error = 4.191647029472279e-13 relative error = 8.752558333542822e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8778665410200817 y1[1] (numeric) = -0.8778665410198481 absolute error = 2.335909243811329e-13 relative error = 2.660893352988486e-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) = -0.4797829789245059 y2[1] (numeric) = -0.4797829789249253 absolute error = 4.193312364009216e-13 relative error = 8.740019025704194e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8773871968146829 y1[1] (numeric) = -0.8773871968144488 absolute error = 2.341460358934455e-13 relative error = 2.668673953113321e-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) = -0.4806601260836199 y2[1] (numeric) = -0.4806601260840394 absolute error = 4.194977698546154e-13 relative error = 8.727534219920624e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8769069752221604 y1[1] (numeric) = -0.8769069752219258 absolute error = 2.345901251032956e-13 relative error = 2.675199670339755e-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) = -0.4815367925826478 y2[1] (numeric) = -0.4815367925830674 absolute error = 4.196643033083092e-13 relative error = 8.715103596913226e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8764258767227358 y1[1] (numeric) = -0.8764258767225007 absolute error = 2.350342143131456e-13 relative error = 2.681735222059179e-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) = -0.4824129775449232 y2[1] (numeric) = -0.482412977545343 absolute error = 4.197753256107717e-13 relative error = 8.701576142231401e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8759439017975075 y1[1] (numeric) = -0.8759439017972719 absolute error = 2.355893258254582e-13 relative error = 2.689548101676488e-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) = -0.4832886800942613 y2[1] (numeric) = -0.4832886800946813 absolute error = 4.199973702156967e-13 relative error = 8.69040363481677e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8754610509284504 y1[1] (numeric) = -0.8754610509282142 absolute error = 2.361444373377708e-13 relative error = 2.697372282722723e-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) = -0.4841638993549596 y2[1] (numeric) = -0.4841638993553797 absolute error = 4.201639036693905e-13 relative error = 8.678133669799942e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8749773245984153 y1[1] (numeric) = -0.8749773245981787 absolute error = 2.365885265476209e-13 relative error = 2.703938946717355e-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) = -0.4850386344517988 y2[1] (numeric) = -0.4850386344522192 absolute error = 4.203304371230843e-13 relative error = 8.665916635654206e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8744927232911285 y1[1] (numeric) = -0.8744927232908914 absolute error = 2.370326157574709e-13 relative error = 2.710515587429995e-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) = -0.4859128845100441 y2[1] (numeric) = -0.4859128845104645 absolute error = 4.204414594255468e-13 relative error = 8.652609816047305e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8740072474911913 y1[1] (numeric) = -0.8740072474909538 absolute error = 2.37476704967321e-13 relative error = 2.717102239700986e-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) = -0.4867866486554453 y2[1] (numeric) = -0.4867866486558659 absolute error = 4.206079928792406e-13 relative error = 8.640499776257278e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8735208976840795 y1[1] (numeric) = -0.8735208976838416 absolute error = 2.37920794177171e-13 relative error = 2.72369893849086e-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) = -0.4876599260142385 y2[1] (numeric) = -0.4876599260146592 absolute error = 4.207190151817031e-13 relative error = 8.627303428853392e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8730336743561428 y1[1] (numeric) = -0.8730336743559044 absolute error = 2.383648833870211e-13 relative error = 2.730305718880933e-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) = -0.4885327157131462 y2[1] (numeric) = -0.4885327157135671 absolute error = 4.208855486353968e-13 relative error = 8.615299141655233e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8725455779946044 y1[1] (numeric) = -0.8725455779943656 absolute error = 2.388089725968712e-13 relative error = 2.736922616073907e-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) = -0.4894050168793789 y2[1] (numeric) = -0.4894050168798 absolute error = 4.211075932403219e-13 relative error = 8.604480516473946e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8720566090875608 y1[1] (numeric) = -0.8720566090873215 absolute error = 2.392530618067212e-13 relative error = 2.743549665394469e-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) = -0.4902768286406356 y2[1] (numeric) = -0.4902768286410569 absolute error = 4.212741266940156e-13 relative error = 8.592576725725749e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8715667681239807 y1[1] (numeric) = -0.871566768123741 absolute error = 2.396971510165713e-13 relative error = 2.750186902289903e-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) = -0.4911481501251045 y2[1] (numeric) = -0.4911481501255259 absolute error = 4.214406601477094e-13 relative error = 8.580723760037795e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8710760555937053 y1[1] (numeric) = -0.871076055593465 absolute error = 2.402522625288839e-13 relative error = 2.75810890433825e-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) = -0.4920189804614641 y2[1] (numeric) = -0.4920189804618857 absolute error = 4.216071936014032e-13 relative error = 8.568921329132022e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8705844719874467 y1[1] (numeric) = -0.870584471987206 absolute error = 2.406963517387339e-13 relative error = 2.764767342900697e-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) = -0.4928893187788844 y2[1] (numeric) = -0.4928893187793061 absolute error = 4.21773727055097e-13 relative error = 8.557169144992354e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8700920177967887 y1[1] (numeric) = -0.8700920177965475 absolute error = 2.41140440948584e-13 relative error = 2.771436078211474e-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) = -0.4937591642070269 y2[1] (numeric) = -0.4937591642074488 absolute error = 4.219402605087907e-13 relative error = 8.545466921842825e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8695986935141855 y1[1] (numeric) = -0.8695986935139438 absolute error = 2.416955524608966e-13 relative error = 2.779391853547603e-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) = -0.4946285158760463 y2[1] (numeric) = -0.4946285158764684 absolute error = 4.220512828112533e-13 relative error = 8.532692096486792e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8691044996329612 y1[1] (numeric) = -0.8691044996327191 absolute error = 2.421396416707466e-13 relative error = 2.78608201629386e-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) = -0.4954973729165911 y2[1] (numeric) = -0.4954973729170133 absolute error = 4.22217816264947e-13 relative error = 8.52109091476496e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8686094366473096 y1[1] (numeric) = -0.8686094366470671 absolute error = 2.424727085781342e-13 relative error = 2.791504424750889e-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) = -0.4963657344598043 y2[1] (numeric) = -0.4963657344602267 absolute error = 4.223843497186408e-13 relative error = 8.509538841925146e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8681135050522939 y1[1] (numeric) = -0.8681135050520509 absolute error = 2.430278200904468e-13 relative error = 2.799493599351471e-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) = -0.4972335996373244 y2[1] (numeric) = -0.4972335996377469 absolute error = 4.225508831723346e-13 relative error = 8.498035600983876e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8676167053438454 y1[1] (numeric) = -0.8676167053436019 absolute error = 2.434719093002968e-13 relative error = 2.806215092456137e-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) = -0.4981009675812862 y2[1] (numeric) = -0.498100967581709 absolute error = 4.227174166260284e-13 relative error = 8.486580917091757e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8671190380187639 y1[1] (numeric) = -0.8671190380185199 absolute error = 2.440270208126094e-13 relative error = 2.814227460282435e-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) = -0.498967837424322 y2[1] (numeric) = -0.4989678374247449 absolute error = 4.228839500797221e-13 relative error = 8.475174517513075e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8666205035747165 y1[1] (numeric) = -0.8666205035744721 absolute error = 2.444711100224595e-13 relative error = 2.820970759565951e-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) = -0.499834208299562 y2[1] (numeric) = -0.499834208299985 absolute error = 4.230504835334159e-13 relative error = 8.463816131605625e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8661211025102379 y1[1] (numeric) = -0.866121102509993 absolute error = 2.449151992323095e-13 relative error = 2.827724651004154e-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) = -0.5007000793406353 y2[1] (numeric) = -0.5007000793410585 absolute error = 4.232170169871097e-13 relative error = 8.452505490800762e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.865620835324729 y1[1] (numeric) = -0.8656208353244835 absolute error = 2.454703107446221e-13 relative error = 2.83577174586534e-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) = -0.501565449681671 y2[1] (numeric) = -0.5015654496820944 absolute error = 4.233280392895722e-13 relative error = 8.440135570706598e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8651197025184568 y1[1] (numeric) = -0.8651197025182109 absolute error = 2.459143999544722e-13 relative error = 2.842547675640594e-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) = -0.5024303184572988 y2[1] (numeric) = -0.5024303184577223 absolute error = 4.235500838944972e-13 relative error = 8.430026380473981e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8646177045925542 y1[1] (numeric) = -0.8646177045923078 absolute error = 2.463584891643222e-13 relative error = 2.849334311057361e-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) = -0.50329468480265 y2[1] (numeric) = -0.5032946848030737 absolute error = 4.236611061969597e-13 relative error = 8.417754428761434e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.864114842049019 y1[1] (numeric) = -0.8641148420487722 absolute error = 2.468025783741723e-13 relative error = 2.856131689497955e-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) = -0.5041585478533583 y2[1] (numeric) = -0.5041585478537822 absolute error = 4.238831508018848e-13 relative error = 8.407735078711334e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8636111153907139 y1[1] (numeric) = -0.8636111153904665 absolute error = 2.473576898864849e-13 relative error = 2.864225407457564e-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) = -0.5050219067455609 y2[1] (numeric) = -0.5050219067459849 absolute error = 4.239941731043473e-13 relative error = 8.395560023061795e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8631065251213653 y1[1] (numeric) = -0.8631065251211174 absolute error = 2.479128013987975e-13 relative error = 2.872331446734658e-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) = -0.5058847606158988 y2[1] (numeric) = -0.5058847606163229 absolute error = 4.241051954068098e-13 relative error = 8.38343489316569e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8626010717455636 y1[1] (numeric) = -0.8626010717453151 absolute error = 2.4846791291111e-13 relative error = 2.880449851613437e-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) = -0.5067471086015182 y2[1] (numeric) = -0.5067471086019425 absolute error = 4.243272400117348e-13 relative error = 8.373550293809483e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8620947557687618 y1[1] (numeric) = -0.8620947557685129 absolute error = 2.489120021209601e-13 relative error = 2.887292846353021e-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) = -0.5076089498400712 y2[1] (numeric) = -0.5076089498404956 absolute error = 4.244382623141973e-13 relative error = 8.361520466649025e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8615875776972762 y1[1] (numeric) = -0.8615875776970269 absolute error = 2.493560913308102e-13 relative error = 2.894146779567693e-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) = -0.5084702834697167 y2[1] (numeric) = -0.5084702834701413 absolute error = 4.246603069191224e-13 relative error = 8.351723212245779e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8610795380382849 y1[1] (numeric) = -0.8610795380380349 absolute error = 2.499112028431227e-13 relative error = 2.90230102799181e-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) = -0.5093311086291211 y2[1] (numeric) = -0.5093311086295459 absolute error = 4.247713292215849e-13 relative error = 8.3397876553205e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8605706372998271 y1[1] (numeric) = -0.8605706372995767 absolute error = 2.503552920529728e-13 relative error = 2.909177715364553e-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) = -0.5101914244574592 y2[1] (numeric) = -0.5101914244578842 absolute error = 4.249933738265099e-13 relative error = 8.330076780072313e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8600608759908037 y1[1] (numeric) = -0.8600608759905529 absolute error = 2.507993812628229e-13 relative error = 2.916065458435114e-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) = -0.5110512300944156 y2[1] (numeric) = -0.5110512300948407 absolute error = 4.251043961289724e-13 relative error = 8.318234476227273e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.859550254620976 y1[1] (numeric) = -0.8595502546207248 absolute error = 2.512434704726729e-13 relative error = 2.922964295827709e-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) = -0.5119105246801843 y2[1] (numeric) = -0.5119105246806096 absolute error = 4.253264407338975e-13 relative error = 8.308609028884879e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8590387737009654 y1[1] (numeric) = -0.8590387737007136 absolute error = 2.517985819849855e-13 relative error = 2.931166667834688e-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) = -0.5127693073554711 y2[1] (numeric) = -0.5127693073558965 absolute error = 4.2543746303636e-13 relative error = 8.296858976027413e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8585264337422526 y1[1] (numeric) = -0.8585264337420003 absolute error = 2.522426711948356e-13 relative error = 2.93808858156328e-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) = -0.5136275772614932 y2[1] (numeric) = -0.5136275772619188 absolute error = 4.255484853388225e-13 relative error = 8.285156486490041e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8580132352571777 y1[1] (numeric) = -0.8580132352569249 absolute error = 2.527977827071481e-13 relative error = 2.946315654808932e-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) = -0.5144853335399808 y2[1] (numeric) = -0.5144853335404066 absolute error = 4.257705299437475e-13 relative error = 8.275659230442586e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8574991787589389 y1[1] (numeric) = -0.8574991787586856 absolute error = 2.532418719169982e-13 relative error = 2.95326080992306e-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) = -0.5153425753331778 y2[1] (numeric) = -0.5153425753336037 absolute error = 4.2588155224621e-13 relative error = 8.264047502205117e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.856984264761593 y1[1] (numeric) = -0.8569842647613392 absolute error = 2.537969834293108e-13 relative error = 2.961512758929306e-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) = -0.5161993017838424 y2[1] (numeric) = -0.5161993017842684 absolute error = 4.259925745486726e-13 relative error = 8.252482579433171e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8564684937800535 y1[1] (numeric) = -0.8564684937797993 absolute error = 2.542410726391608e-13 relative error = 2.968481321677801e-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) = -0.5170555120352482 y2[1] (numeric) = -0.5170555120356745 absolute error = 4.262146191535976e-13 relative error = 8.243111411305139e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8559518663300918 y1[1] (numeric) = -0.855951866329837 absolute error = 2.547961841514734e-13 relative error = 2.97675832221637e-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) = -0.5179112052311852 y2[1] (numeric) = -0.5179112052316115 absolute error = 4.263256414560601e-13 relative error = 8.231635792968737e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.855434382928335 y1[1] (numeric) = -0.8554343829280797 absolute error = 2.552402733613235e-13 relative error = 2.983750460059618e-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) = -0.5187663805159599 y2[1] (numeric) = -0.5187663805163865 absolute error = 4.265476860609851e-13 relative error = 8.222346360162064e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8549160440922665 y1[1] (numeric) = -0.8549160440920108 absolute error = 2.556843625711736e-13 relative error = 2.990754055185083e-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) = -0.5196210370343974 y2[1] (numeric) = -0.5196210370348241 absolute error = 4.266587083634477e-13 relative error = 8.210959102011954e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8543968503402253 y1[1] (numeric) = -0.854396850339969 absolute error = 2.562394740834861e-13 relative error = 2.999068570787103e-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) = -0.5204751739318413 y2[1] (numeric) = -0.5204751739322681 absolute error = 4.267697306659102e-13 relative error = 8.199617427320322e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8538768021914048 y1[1] (numeric) = -0.8538768021911481 absolute error = 2.566835632933362e-13 relative error = 3.006095992238914e-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) = -0.5213287903541545 y2[1] (numeric) = -0.5213287903545815 absolute error = 4.269917752708352e-13 relative error = 8.190450693904066e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8533559001658534 y1[1] (numeric) = -0.8533559001655963 absolute error = 2.571276525031863e-13 relative error = 3.013134993889565e-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) = -0.5221818854477208 y2[1] (numeric) = -0.5221818854481479 absolute error = 4.271027975732977e-13 relative error = 8.179195975116948e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8528341447844729 y1[1] (numeric) = -0.8528341447842153 absolute error = 2.576827640154988e-13 relative error = 3.021487420401303e-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) = -0.5230344583594453 y2[1] (numeric) = -0.5230344583598725 absolute error = 4.272138198757602e-13 relative error = 8.16798612496322e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8523115365690187 y1[1] (numeric) = -0.8523115365687606 absolute error = 2.581268532253489e-13 relative error = 3.028550502371925e-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) = -0.5238865082367549 y2[1] (numeric) = -0.5238865082371823 absolute error = 4.274358644806853e-13 relative error = 8.158940109362739e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8517880760420989 y1[1] (numeric) = -0.8517880760418404 absolute error = 2.58570942435199e-13 relative error = 3.035625288823828e-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) = -0.5247380342275999 y2[1] (numeric) = -0.5247380342280275 absolute error = 4.275468867831478e-13 relative error = 8.147815841336624e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8512637637271742 y1[1] (numeric) = -0.851263763726915 absolute error = 2.591260539475115e-13 relative error = 3.044016026395318e-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) = -0.5255890354804544 y2[1] (numeric) = -0.5255890354808821 absolute error = 4.276579090856103e-13 relative error = 8.136735742492748e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8507386001485565 y1[1] (numeric) = -0.8507386001482969 absolute error = 2.595701431573616e-13 relative error = 3.051115149965398e-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) = -0.5264395111443173 y2[1] (numeric) = -0.5264395111447451 absolute error = 4.277689313880728e-13 relative error = 8.125699578632215e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8502125858314097 y1[1] (numeric) = -0.8502125858311496 absolute error = 2.601252546696742e-13 relative error = 3.059531921834605e-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) = -0.5272894603687129 y2[1] (numeric) = -0.5272894603691408 absolute error = 4.278799536905353e-13 relative error = 8.114707117250847e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8496857213017479 y1[1] (numeric) = -0.8496857213014872 absolute error = 2.606803661819868e-13 relative error = 3.067962184684184e-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) = -0.5281388823036921 y2[1] (numeric) = -0.5281388823041201 absolute error = 4.279909759929978e-13 relative error = 8.103758127523986e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8491580070864355 y1[1] (numeric) = -0.8491580070861744 absolute error = 2.611244553918368e-13 relative error = 3.075098547180714e-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) = -0.5289877760998329 y2[1] (numeric) = -0.5289877761002612 absolute error = 4.282130205979229e-13 relative error = 8.094951149062253e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8486294437131869 y1[1] (numeric) = -0.8486294437129253 absolute error = 2.616795669041494e-13 relative error = 3.083555123413675e-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) = -0.5298361409082418 y2[1] (numeric) = -0.5298361409086702 absolute error = 4.283240429003854e-13 relative error = 8.084085056299765e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8481000317105652 y1[1] (numeric) = -0.8481000317103031 absolute error = 2.621236561139995e-13 relative error = 3.090716263567545e-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) = -0.5306839758805538 y2[1] (numeric) = -0.5306839758809824 absolute error = 4.285460875053104e-13 relative error = 8.075353826054989e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8475697716079825 y1[1] (numeric) = -0.84756977160772 absolute error = 2.625677453238495e-13 relative error = 3.097889449569613e-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) = -0.5315312801689344 y2[1] (numeric) = -0.5315312801693629 absolute error = 4.285460875053104e-13 relative error = 8.062481052274241e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8470386639356989 y1[1] (numeric) = -0.8470386639354358 absolute error = 2.631228568361621e-13 relative error = 3.10638543479919e-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) = -0.5323780529260789 y2[1] (numeric) = -0.5323780529265076 absolute error = 4.287681321102355e-13 relative error = 8.053828097413517e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8465067092248219 y1[1] (numeric) = -0.8465067092245583 absolute error = 2.635669460460122e-13 relative error = 3.113583662997431e-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) = -0.5332242933052149 y2[1] (numeric) = -0.5332242933056438 absolute error = 4.28879154412698e-13 relative error = 8.043128563296903e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8459739080073062 y1[1] (numeric) = -0.8459739080070421 absolute error = 2.641220575583247e-13 relative error = 3.12210642737747e-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) = -0.534070000460102 y2[1] (numeric) = -0.5340700004605311 absolute error = 4.29101199017623e-13 relative error = 8.034549752803036e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.845440260815953 y1[1] (numeric) = -0.8454402608156883 absolute error = 2.646771690706373e-13 relative error = 3.130643066550812e-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) = -0.5349151735450332 y2[1] (numeric) = -0.5349151735454625 absolute error = 4.29323243622548e-13 relative error = 8.026006081998053e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8449057681844094 y1[1] (numeric) = -0.8449057681841443 absolute error = 2.651212582804874e-13 relative error = 3.137879610529797e-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) = -0.5357598117148354 y2[1] (numeric) = -0.5357598117152649 absolute error = 4.294342659250105e-13 relative error = 8.01542513146884e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8443704306471681 y1[1] (numeric) = -0.8443704306469025 absolute error = 2.655653474903374e-13 relative error = 3.145128463188778e-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) = -0.5366039141248705 y2[1] (numeric) = -0.5366039141253002 absolute error = 4.296563105299356e-13 relative error = 8.006954463435992e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8438342487395665 y1[1] (numeric) = -0.8438342487393005 absolute error = 2.660094367001875e-13 relative error = 3.152389667728292e-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) = -0.5374474799310363 y2[1] (numeric) = -0.537447479931466 absolute error = 4.297673328323981e-13 relative error = 7.996452655942207e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8432972229977864 y1[1] (numeric) = -0.84329722299752 absolute error = 2.664535259100376e-13 relative error = 3.159663267511281e-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) = -0.5382905082897669 y2[1] (numeric) = -0.5382905082901968 absolute error = 4.298783551348606e-13 relative error = 7.985991737076163e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8427593539588537 y1[1] (numeric) = -0.8427593539585867 absolute error = 2.670086374223501e-13 relative error = 3.168266672663788e-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) = -0.5391329983580341 y2[1] (numeric) = -0.5391329983584641 absolute error = 4.299893774373231e-13 relative error = 7.975571496214937e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8422206421606372 y1[1] (numeric) = -0.8422206421603697 absolute error = 2.674527266322002e-13 relative error = 3.175566036307013e-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) = -0.5399749492933478 y2[1] (numeric) = -0.539974949293778 absolute error = 4.302114220422482e-13 relative error = 7.967247788166016e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8416810881418487 y1[1] (numeric) = -0.8416810881415808 absolute error = 2.678968158420503e-13 relative error = 3.182877928663898e-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) = -0.5408163602537572 y2[1] (numeric) = -0.5408163602541876 absolute error = 4.303224443447107e-13 relative error = 7.956905078514978e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8411406924420423 y1[1] (numeric) = -0.8411406924417739 absolute error = 2.683409050519003e-13 relative error = 3.190202393761731e-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) = -0.5416572303978514 y2[1] (numeric) = -0.541657230398282 absolute error = 4.305444889496357e-13 relative error = 7.948652114057398e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8405994556016134 y1[1] (numeric) = -0.8405994556013446 absolute error = 2.687849942617504e-13 relative error = 3.197539475794475e-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) = -0.5424975588847605 y2[1] (numeric) = -0.5424975588851911 absolute error = 4.306555112520982e-13 relative error = 7.938386158592462e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.840057378161799 y1[1] (numeric) = -0.8400573781615298 absolute error = 2.692290834716005e-13 relative error = 3.204889219123621e-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) = -0.5433373448741557 y2[1] (numeric) = -0.5433373448745866 absolute error = 4.308775558570233e-13 relative error = 7.930203213931859e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8395144606646765 y1[1] (numeric) = -0.8395144606644068 absolute error = 2.696731726814505e-13 relative error = 3.212251668279063e-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) = -0.5441765875262514 y2[1] (numeric) = -0.5441765875266825 absolute error = 4.310996004619483e-13 relative error = 7.92205343529506e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8389707036531633 y1[1] (numeric) = -0.8389707036528931 absolute error = 2.702282841937631e-13 relative error = 3.220950183565379e-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) = -0.545015286001805 y2[1] (numeric) = -0.5450152860022361 absolute error = 4.310996004619483e-13 relative error = 7.90986255861676e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8384261076710163 y1[1] (numeric) = -0.8384261076707455 absolute error = 2.707833957060757e-13 relative error = 3.229663213354114e-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) = -0.545853439462118 y2[1] (numeric) = -0.5458534394625493 absolute error = 4.313216450668733e-13 relative error = 7.90178487272877e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8378806732628316 y1[1] (numeric) = -0.8378806732625603 absolute error = 2.712274849159257e-13 relative error = 3.237065772859108e-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) = -0.5466910470690369 y2[1] (numeric) = -0.5466910470694684 absolute error = 4.314326673693358e-13 relative error = 7.89170903168008e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8373344009740433 y1[1] (numeric) = -0.8373344009737717 absolute error = 2.716715741257758e-13 relative error = 3.244481222911053e-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) = -0.5475281079849544 y2[1] (numeric) = -0.547528107985386 absolute error = 4.315436896717983e-13 relative error = 7.881671888224901e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.836787291350924 y1[1] (numeric) = -0.8367872913506518 absolute error = 2.722266856380884e-13 relative error = 3.253236377414395e-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) = -0.5483646213728095 y2[1] (numeric) = -0.5483646213732413 absolute error = 4.317657342767234e-13 relative error = 7.873697854464328e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8362393449405829 y1[1] (numeric) = -0.8362393449403103 absolute error = 2.726707748479384e-13 relative error = 3.260678614294481e-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) = -0.5492005863960889 y2[1] (numeric) = -0.5492005863965208 absolute error = 4.318767565791859e-13 relative error = 7.863734440147011e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8356905622909667 y1[1] (numeric) = -0.8356905622906935 absolute error = 2.73225886360251e-13 relative error = 3.26946239061535e-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) = -0.5500360022188278 y2[1] (numeric) = -0.5500360022192597 absolute error = 4.319877788816484e-13 relative error = 7.853809153201307e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8351409439508577 y1[1] (numeric) = -0.835140943950584 absolute error = 2.736699755701011e-13 relative error = 3.276931607201918e-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) = -0.5508708680056101 y2[1] (numeric) = -0.5508708680060423 absolute error = 4.322098234865734e-13 relative error = 7.845937198519124e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8345904904698744 y1[1] (numeric) = -0.8345904904696002 absolute error = 2.742250870824137e-13 relative error = 3.285744208851756e-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) = -0.5517051829215706 y2[1] (numeric) = -0.5517051829220028 absolute error = 4.322098234865734e-13 relative error = 7.83407219772332e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8340392023984703 y1[1] (numeric) = -0.8340392023981955 absolute error = 2.747801985947262e-13 relative error = 3.294571739608078e-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) = -0.5525389461323938 y2[1] (numeric) = -0.5525389461328263 absolute error = 4.324318680914985e-13 relative error = 7.826269462422355e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8334870802879332 y1[1] (numeric) = -0.8334870802876579 absolute error = 2.752242878045763e-13 relative error = 3.302082231550589e-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) = -0.5533721568043172 y2[1] (numeric) = -0.5533721568047497 absolute error = 4.32542890393961e-13 relative error = 7.81649176011789e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8329341246903852 y1[1] (numeric) = -0.8329341246901095 absolute error = 2.756683770144264e-13 relative error = 3.309605992153301e-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) = -0.5542048141041298 y2[1] (numeric) = -0.5542048141045625 absolute error = 4.326539126964235e-13 relative error = 7.806751253068905e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.832380336158782 y1[1] (numeric) = -0.8323803361585058 absolute error = 2.762234885267389e-13 relative error = 3.318476861207921e-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) = -0.5550369171991745 y2[1] (numeric) = -0.5550369171996072 absolute error = 4.32764934998886e-13 relative error = 7.797047756439393e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8318257152469121 y1[1] (numeric) = -0.8318257152466353 absolute error = 2.767786000390515e-13 relative error = 3.327362871402634e-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) = -0.5558684652573482 y2[1] (numeric) = -0.5558684652577811 absolute error = 4.328759573013485e-13 relative error = 7.787381086655846e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8312702625093961 y1[1] (numeric) = -0.8312702625091188 absolute error = 2.772226892489016e-13 relative error = 3.334928503421209e-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) = -0.556699457447103 y2[1] (numeric) = -0.556699457447536 absolute error = 4.329869796038111e-13 relative error = 7.777751061396589e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8307139785016869 y1[1] (numeric) = -0.8307139785014092 absolute error = 2.777778007612142e-13 relative error = 3.343844066067441e-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) = -0.5575298929374467 y2[1] (numeric) = -0.5575298929378799 absolute error = 4.332090242087361e-13 relative error = 7.770148824241446e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8301568637800685 y1[1] (numeric) = -0.8301568637797903 absolute error = 2.782218899710642e-13 relative error = 3.351437566921966e-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) = -0.558359770897944 y2[1] (numeric) = -0.5583597708983773 absolute error = 4.333200465111986e-13 relative error = 7.760588586357882e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8295989189016555 y1[1] (numeric) = -0.8295989189013767 absolute error = 2.787770014833768e-13 relative error = 3.360382892644829e-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) = -0.5591890904987169 y2[1] (numeric) = -0.5591890904991503 absolute error = 4.334310688136611e-13 relative error = 7.751064464206596e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8290401444243927 y1[1] (numeric) = -0.8290401444241134 absolute error = 2.792210906932269e-13 relative error = 3.368004463608836e-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) = -0.5600178509104459 y2[1] (numeric) = -0.5600178509108795 absolute error = 4.336531134185861e-13 relative error = 7.7435587582356e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8284805409070545 y1[1] (numeric) = -0.8284805409067748 absolute error = 2.796651799030769e-13 relative error = 3.375639693322043e-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) = -0.5608460513043707 y2[1] (numeric) = -0.5608460513048045 absolute error = 4.337641357210487e-13 relative error = 7.73410340880951e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8279201089092445 y1[1] (numeric) = -0.8279201089089643 absolute error = 2.802202914153895e-13 relative error = 3.384629608581073e-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) = -0.5616736908522909 y2[1] (numeric) = -0.5616736908527248 absolute error = 4.338751580235112e-13 relative error = 7.724683656895936e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8273588489913946 y1[1] (numeric) = -0.8273588489911139 absolute error = 2.806643806252396e-13 relative error = 3.392293210707641e-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) = -0.562500768726567 y2[1] (numeric) = -0.5625007687270011 absolute error = 4.340972026284362e-13 relative error = 7.717273055664959e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8267967617147646 y1[1] (numeric) = -0.8267967617144835 absolute error = 2.811084698350896e-13 relative error = 3.39997061976966e-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) = -0.5633272841001213 y2[1] (numeric) = -0.5633272841005554 absolute error = 4.340972026284362e-13 relative error = 7.70595025096074e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8262338476414418 y1[1] (numeric) = -0.8262338476411601 absolute error = 2.816635813474022e-13 relative error = 3.409005599945294e-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) = -0.5641532361464384 y2[1] (numeric) = -0.5641532361468727 absolute error = 4.343192472333612e-13 relative error = 7.698604198392369e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8256701073343402 y1[1] (numeric) = -0.8256701073340581 absolute error = 2.821076705572523e-13 relative error = 3.416711687286723e-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) = -0.5649786240395664 y2[1] (numeric) = -0.5649786240400009 absolute error = 4.344302695358238e-13 relative error = 7.689322233639053e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8251055413572 y1[1] (numeric) = -0.8251055413569175 absolute error = 2.825517597671023e-13 relative error = 3.424431731513261e-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) = -0.5658034469541174 y2[1] (numeric) = -0.5658034469545521 absolute error = 4.346523141407488e-13 relative error = 7.682037224774913e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8245401502745874 y1[1] (numeric) = -0.8245401502743043 absolute error = 2.831068712794149e-13 relative error = 3.43351225753088e-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) = -0.5666277040652687 y2[1] (numeric) = -0.5666277040657035 absolute error = 4.347633364432113e-13 relative error = 7.672821736812426e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8239739346518932 y1[1] (numeric) = -0.8239739346516095 absolute error = 2.836619827917275e-13 relative error = 3.442608690183471e-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) = -0.5674513945487631 y2[1] (numeric) = -0.567451394549198 absolute error = 4.348743587456738e-13 relative error = 7.663640673426937e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8234068950553328 y1[1] (numeric) = -0.8234068950550487 absolute error = 2.841060720015776e-13 relative error = 3.450372758689198e-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) = -0.5682745175809103 y2[1] (numeric) = -0.5682745175813453 absolute error = 4.349853810481363e-13 relative error = 7.654493868558932e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8228390320519462 y1[1] (numeric) = -0.8228390320516615 absolute error = 2.846611835138901e-13 relative error = 3.459500247624609e-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) = -0.5690970723385872 y2[1] (numeric) = -0.5690970723390223 absolute error = 4.350964033505988e-13 relative error = 7.645381157254242e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.822270346209596 y1[1] (numeric) = -0.8222703462093108 absolute error = 2.852162950262027e-13 relative error = 3.468643814542977e-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) = -0.5699190579992391 y2[1] (numeric) = -0.5699190579996745 absolute error = 4.353184479555239e-13 relative error = 7.638250411975258e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8217008380969681 y1[1] (numeric) = -0.8217008380966825 absolute error = 2.856603842360528e-13 relative error = 3.476452389870172e-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) = -0.5707404737408807 y2[1] (numeric) = -0.5707404737413161 absolute error = 4.354294702579864e-13 relative error = 7.62920259367612e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8211305082835707 y1[1] (numeric) = -0.8211305082832845 absolute error = 2.862154957483654e-13 relative error = 3.485627349867302e-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) = -0.5715613187420959 y2[1] (numeric) = -0.5715613187425316 absolute error = 4.356515148629114e-13 relative error = 7.622130829666751e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8205593573397333 y1[1] (numeric) = -0.8205593573394466 absolute error = 2.866595849582154e-13 relative error = 3.493465553638562e-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) = -0.5723815921820402 y2[1] (numeric) = -0.5723815921824759 absolute error = 4.356515148629114e-13 relative error = 7.611207642127611e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.819987385836607 y1[1] (numeric) = -0.8199873858363198 absolute error = 2.87214696470528e-13 relative error = 3.502672131687636e-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) = -0.5732012932404399 y2[1] (numeric) = -0.5732012932408758 absolute error = 4.358735594678365e-13 relative error = 7.604197070173065e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8194145943461633 y1[1] (numeric) = -0.8194145943458755 absolute error = 2.877698079828406e-13 relative error = 3.511895076905009e-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) = -0.5740204210975941 y2[1] (numeric) = -0.5740204210980301 absolute error = 4.35984581770299e-13 relative error = 7.595279989109891e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8188409834411934 y1[1] (numeric) = -0.8188409834409052 absolute error = 2.882138971926906e-13 relative error = 3.519778601963311e-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) = -0.5748389749343751 y2[1] (numeric) = -0.5748389749348112 absolute error = 4.360956040727615e-13 relative error = 7.586395896738685e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8182665536953083 y1[1] (numeric) = -0.8182665536950195 absolute error = 2.887690087050032e-13 relative error = 3.529033508713225e-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) = -0.575656953932229 y2[1] (numeric) = -0.5756569539326652 absolute error = 4.36206626375224e-13 relative error = 7.577544636533267e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8176913056829377 y1[1] (numeric) = -0.8176913056826485 absolute error = 2.892130979148533e-13 relative error = 3.536947206174607e-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) = -0.5764743572731771 y2[1] (numeric) = -0.5764743572736134 absolute error = 4.363176486776865e-13 relative error = 7.568726052994692e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8171152399793296 y1[1] (numeric) = -0.8171152399790399 absolute error = 2.896571871247033e-13 relative error = 3.544875593460119e-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) = -0.5772911841398158 y2[1] (numeric) = -0.5772911841402523 absolute error = 4.36428670980149e-13 relative error = 7.55993999164292e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8165383571605496 y1[1] (numeric) = -0.8165383571602594 absolute error = 2.902122986370159e-13 relative error = 3.554178393360567e-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) = -0.5781074337153186 y2[1] (numeric) = -0.5781074337157551 absolute error = 4.365396932826116e-13 relative error = 7.551186299008565e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8159606578034805 y1[1] (numeric) = -0.8159606578031897 absolute error = 2.907674101493285e-13 relative error = 3.563497913392758e-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) = -0.5789231051834357 y2[1] (numeric) = -0.5789231051838725 absolute error = 4.367617378875366e-13 relative error = 7.54438256094729e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8153821424858215 y1[1] (numeric) = -0.8153821424855303 absolute error = 2.912114993591786e-13 relative error = 3.571472616157305e-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) = -0.579738197728496 y2[1] (numeric) = -0.5797381977289329 absolute error = 4.368727601899991e-13 relative error = 7.535690453065439e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.814802811786088 y1[1] (numeric) = -0.8148028117857964 absolute error = 2.916555885690286e-13 relative error = 3.579462225095973e-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) = -0.5805527105354068 y2[1] (numeric) = -0.5805527105358438 absolute error = 4.369837824924616e-13 relative error = 7.527030268956272e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8142226662836107 y1[1] (numeric) = -0.8142226662833185 absolute error = 2.922107000813412e-13 relative error = 3.588830330836775e-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) = -0.5813666427896554 y2[1] (numeric) = -0.5813666427900925 absolute error = 4.370948047949241e-13 relative error = 7.518401859066923e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.813641706558535 y1[1] (numeric) = -0.8136417065582422 absolute error = 2.927658115936538e-13 relative error = 3.598215396700435e-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) = -0.5821799936773098 y2[1] (numeric) = -0.582179993677747 absolute error = 4.372058270973866e-13 relative error = 7.509805074815413e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8130599331918205 y1[1] (numeric) = -0.8130599331915271 absolute error = 2.933209231059664e-13 relative error = 3.607617484660444e-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) = -0.582992762385019 y2[1] (numeric) = -0.5829927623854563 absolute error = 4.373168493998492e-13 relative error = 7.501239768582876e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8124773467652404 y1[1] (numeric) = -0.8124773467649467 absolute error = 2.937650123158164e-13 relative error = 3.615670190503142e-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) = -0.5838049481000144 y2[1] (numeric) = -0.5838049481004518 absolute error = 4.374278717023117e-13 relative error = 7.492705793705843e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8118939478613815 y1[1] (numeric) = -0.8118939478610872 absolute error = 2.94320123828129e-13 relative error = 3.62510552767884e-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) = -0.5846165500101103 y2[1] (numeric) = -0.5846165500105478 absolute error = 4.375388940047742e-13 relative error = 7.484203004468612e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8113097370636422 y1[1] (numeric) = -0.8113097370633474 absolute error = 2.947642130379791e-13 relative error = 3.633189638581358e-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) = -0.5854275673037049 y2[1] (numeric) = -0.5854275673041426 absolute error = 4.376499163072367e-13 relative error = 7.475731256095684e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8107247149562335 y1[1] (numeric) = -0.8107247149559382 absolute error = 2.953193245502916e-13 relative error = 3.642658464732191e-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) = -0.586237999169781 y2[1] (numeric) = -0.5862379991702188 absolute error = 4.377609386096992e-13 relative error = 7.467290404744282e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8101388821241774 y1[1] (numeric) = -0.8101388821238816 absolute error = 2.957634137601417e-13 relative error = 3.650774210276792e-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) = -0.5870478447979067 y2[1] (numeric) = -0.5870478447983447 absolute error = 4.379829832146243e-13 relative error = 7.460771504329454e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8095522391533068 y1[1] (numeric) = -0.8095522391530104 absolute error = 2.963185252724543e-13 relative error = 3.66027676709742e-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) = -0.5878571033782367 y2[1] (numeric) = -0.5878571033786747 absolute error = 4.379829832146243e-13 relative error = 7.450500822354084e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8089647866302644 y1[1] (numeric) = -0.8089647866299675 absolute error = 2.968736367847669e-13 relative error = 3.669796778440646e-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) = -0.5886657741015122 y2[1] (numeric) = -0.5886657741019503 absolute error = 4.380940055170868e-13 relative error = 7.442151808226918e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8083765251425028 y1[1] (numeric) = -0.8083765251422054 absolute error = 2.974287482970794e-13 relative error = 3.679334308287192e-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) = -0.5894738561590627 y2[1] (numeric) = -0.5894738561595009 absolute error = 4.382050278195493e-13 relative error = 7.433833124930052e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8077874552782833 y1[1] (numeric) = -0.8077874552779855 absolute error = 2.978728375069295e-13 relative error = 3.687515020944614e-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) = -0.5902813487428061 y2[1] (numeric) = -0.5902813487432444 absolute error = 4.383160501220118e-13 relative error = 7.425544633174447e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.807197577626676 y1[1] (numeric) = -0.8071975776263776 absolute error = 2.984279490192421e-13 relative error = 3.697086776408331e-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) = -0.59108825104525 y2[1] (numeric) = -0.5910882510456885 absolute error = 4.385380947269368e-13 relative error = 7.419164464044898e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8066068927775584 y1[1] (numeric) = -0.8066068927772594 absolute error = 2.989830605315547e-13 relative error = 3.706676241037362e-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) = -0.5918945622594921 y2[1] (numeric) = -0.5918945622599308 absolute error = 4.386491170293993e-13 relative error = 7.410933382373118e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8060154013216151 y1[1] (numeric) = -0.8060154013213157 absolute error = 2.994271497414047e-13 relative error = 3.714906058251953e-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) = -0.5927002815792213 y2[1] (numeric) = -0.59270028157966 absolute error = 4.387601393318619e-13 relative error = 7.402732088515408e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8054231038503377 y1[1] (numeric) = -0.8054231038500378 absolute error = 2.998712389512548e-13 relative error = 3.723151689065234e-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) = -0.5935054081987182 y2[1] (numeric) = -0.5935054081991571 absolute error = 4.388711616343244e-13 relative error = 7.394560446656975e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8048300009560235 y1[1] (numeric) = -0.8048300009557231 absolute error = 3.004263504635674e-13 relative error = 3.732792640765175e-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) = -0.5943099413128565 y2[1] (numeric) = -0.5943099413132955 absolute error = 4.389821839367869e-13 relative error = 7.386418321844931e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8042360932317755 y1[1] (numeric) = -0.8042360932314746 absolute error = 3.008704396734174e-13 relative error = 3.741071088520627e-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) = -0.595113880117103 y2[1] (numeric) = -0.5951138801175421 absolute error = 4.390932062392494e-13 relative error = 7.378305579981553e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8036413812715012 y1[1] (numeric) = -0.8036413812711999 absolute error = 3.013145288832675e-13 relative error = 3.749365524290638e-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) = -0.5959172238075189 y2[1] (numeric) = -0.5959172238079581 absolute error = 4.392042285417119e-13 relative error = 7.370222087817599e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8030458656699127 y1[1] (numeric) = -0.8030458656696108 absolute error = 3.018696403955801e-13 relative error = 3.759058520820052e-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) = -0.5967199715807606 y2[1] (numeric) = -0.5967199715811999 absolute error = 4.393152508441744e-13 relative error = 7.362167712945689e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8024495470225254 y1[1] (numeric) = -0.8024495470222229 absolute error = 3.024247519078926e-13 relative error = 3.768769675676611e-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) = -0.5975221226340806 y2[1] (numeric) = -0.59752212263452 absolute error = 4.39426273146637e-13 relative error = 7.354142323793747e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.801852425925658 y1[1] (numeric) = -0.801852425925355 absolute error = 3.029798634202052e-13 relative error = 3.778499055738909e-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) = -0.5983236761653277 y2[1] (numeric) = -0.5983236761657672 absolute error = 4.395372954490995e-13 relative error = 7.346145789618516e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8012545029764314 y1[1] (numeric) = -0.801254502976128 absolute error = 3.034239526300553e-13 relative error = 3.786861122189293e-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) = -0.5991246313729485 y2[1] (numeric) = -0.5991246313733881 absolute error = 4.39648317751562e-13 relative error = 7.338177980499115e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8006557787727686 y1[1] (numeric) = -0.8006557787724647 absolute error = 3.038680418399053e-13 relative error = 3.795239476141283e-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) = -0.5999249874559878 y2[1] (numeric) = -0.5999249874564275 absolute error = 4.397593400540245e-13 relative error = 7.330238767330666e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.8000562539133939 y1[1] (numeric) = -0.8000562539130894 absolute error = 3.044231533522179e-13 relative error = 3.805021857690169e-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) = -0.6007247436140897 y2[1] (numeric) = -0.6007247436145295 absolute error = 4.39870362356487e-13 relative error = 7.32232802181798e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7994559289978318 y1[1] (numeric) = -0.7994559289975269 absolute error = 3.04867242562068e-13 relative error = 3.813434005602263e-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) = -0.6015238990474979 y2[1] (numeric) = -0.601523899047938 absolute error = 4.400924069614121e-13 relative error = 7.316291300450245e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7988548046264073 y1[1] (numeric) = -0.798854804626102 absolute error = 3.05311331771918e-13 relative error = 3.821862621389629e-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) = -0.6023224529570573 y2[1] (numeric) = -0.6023224529574975 absolute error = 4.402034292638746e-13 relative error = 7.308434661579168e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7982528814002449 y1[1] (numeric) = -0.798252881399939 absolute error = 3.058664432842306e-13 relative error = 3.831698580877015e-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) = -0.603120404544214 y2[1] (numeric) = -0.6031204045446543 absolute error = 4.403144515663371e-13 relative error = 7.300606118592331e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7976501599212675 y1[1] (numeric) = -0.7976501599209611 absolute error = 3.064215547965432e-13 relative error = 3.841553229636269e-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) = -0.6039177530110164 y2[1] (numeric) = -0.6039177530114568 absolute error = 4.404254738687996e-13 relative error = 7.292805546333485e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7970466407921967 y1[1] (numeric) = -0.7970466407918898 absolute error = 3.068656440063933e-13 relative error = 3.850033715735818e-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) = -0.604714497560116 y2[1] (numeric) = -0.6047144975605566 absolute error = 4.406475184737246e-13 relative error = 7.286868766196876e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7964423246165515 y1[1] (numeric) = -0.7964423246162441 absolute error = 3.074207555187058e-13 relative error = 3.859924893704188e-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) = -0.6055106373947685 y2[1] (numeric) = -0.6055106373952093 absolute error = 4.407585407761871e-13 relative error = 7.279121349090856e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7958372119986481 y1[1] (numeric) = -0.7958372119983401 absolute error = 3.079758670310184e-13 relative error = 3.869834966092809e-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) = -0.6063061717188341 y2[1] (numeric) = -0.6063061717192749 absolute error = 4.408695630786497e-13 relative error = 7.271401540063766e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7952313035435989 y1[1] (numeric) = -0.7952313035432905 absolute error = 3.084199562408685e-13 relative error = 3.878367902100061e-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) = -0.6071010997367785 y2[1] (numeric) = -0.6071010997372194 absolute error = 4.408695630786497e-13 relative error = 7.26188048860063e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7946245998573126 y1[1] (numeric) = -0.7946245998570036 absolute error = 3.089750677531811e-13 relative error = 3.888314907550841e-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) = -0.6078954206536736 y2[1] (numeric) = -0.6078954206541147 absolute error = 4.410916076835747e-13 relative error = 7.256044258554641e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7940171015464926 y1[1] (numeric) = -0.7940171015461831 absolute error = 3.095301792654936e-13 relative error = 3.898281015139691e-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) = -0.6086891336751989 y2[1] (numeric) = -0.60868913367564 absolute error = 4.410916076835747e-13 relative error = 7.246582586751819e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7934088092186372 y1[1] (numeric) = -0.7934088092183272 absolute error = 3.099742684753437e-13 relative error = 3.90686698803624e-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) = -0.6094822380076412 y2[1] (numeric) = -0.6094822380080824 absolute error = 4.412026299860372e-13 relative error = 7.238974369922586e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7927997234820386 y1[1] (numeric) = -0.7927997234817282 absolute error = 3.104183576851938e-13 relative error = 3.915470054931553e-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) = -0.6102747328578962 y2[1] (numeric) = -0.6102747328583377 absolute error = 4.414246745909622e-13 relative error = 7.233212368530894e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7921898449457828 y1[1] (numeric) = -0.7921898449454718 absolute error = 3.109734691975063e-13 relative error = 3.9254917388999e-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) = -0.6110666174334694 y2[1] (numeric) = -0.6110666174339109 absolute error = 4.415356968934248e-13 relative error = 7.225655669882793e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7915791742197479 y1[1] (numeric) = -0.7915791742194365 absolute error = 3.114175584073564e-13 relative error = 3.934130262008444e-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) = -0.6118578909424759 y2[1] (numeric) = -0.6118578909429175 absolute error = 4.416467191958873e-13 relative error = 7.218125740204091e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7909677119146048 y1[1] (numeric) = -0.7909677119142928 absolute error = 3.11972669919669e-13 relative error = 3.944189695992931e-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) = -0.6126485525936425 y2[1] (numeric) = -0.6126485525940842 absolute error = 4.417577414983498e-13 relative error = 7.210622462554952e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7903554586418158 y1[1] (numeric) = -0.7903554586415033 absolute error = 3.125277814319816e-13 relative error = 3.954268652348452e-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) = -0.6134386015963075 y2[1] (numeric) = -0.6134386015967495 absolute error = 4.419797861032748e-13 relative error = 7.204955556320427e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7897424150136338 y1[1] (numeric) = -0.7897424150133209 absolute error = 3.129718706418316e-13 relative error = 3.962961399717003e-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) = -0.6142280371604221 y2[1] (numeric) = -0.6142280371608642 absolute error = 4.420908084057373e-13 relative error = 7.197502908683954e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7891285816431027 y1[1] (numeric) = -0.7891285816427893 absolute error = 3.134159598516817e-13 relative error = 3.971671627950609e-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) = -0.6150168584965507 y2[1] (numeric) = -0.6150168584969928 absolute error = 4.420908084057373e-13 relative error = 7.188271383104155e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7885139591440559 y1[1] (numeric) = -0.7885139591437419 absolute error = 3.139710713639943e-13 relative error = 3.981807395075348e-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) = -0.615805064815872 y2[1] (numeric) = -0.6158050648163144 absolute error = 4.423128530106624e-13 relative error = 7.182676439059746e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7878985481311154 y1[1] (numeric) = -0.787898548130801 absolute error = 3.144151605738443e-13 relative error = 3.990553876760311e-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) = -0.6165926553301799 y2[1] (numeric) = -0.6165926553306224 absolute error = 4.424238753131249e-13 relative error = 7.17530238948777e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7872823492196925 y1[1] (numeric) = -0.7872823492193776 absolute error = 3.149702720861569e-13 relative error = 4.000728231724447e-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) = -0.6173796292518838 y2[1] (numeric) = -0.6173796292523264 absolute error = 4.425348976155874e-13 relative error = 7.167954312840443e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7866653630259861 y1[1] (numeric) = -0.7866653630256706 absolute error = 3.155253835984695e-13 relative error = 4.010922539982819e-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) = -0.6181659857940099 y2[1] (numeric) = -0.6181659857944526 absolute error = 4.426459199180499e-13 relative error = 7.16063209704896e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7860475901669821 y1[1] (numeric) = -0.7860475901666661 absolute error = 3.159694728083196e-13 relative error = 4.019724464026375e-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) = -0.6189517241702017 y2[1] (numeric) = -0.6189517241706445 absolute error = 4.427569422205124e-13 relative error = 7.153335630724593e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7854290312604535 y1[1] (numeric) = -0.785429031260137 absolute error = 3.165245843206321e-13 relative error = 4.029957790236944e-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) = -0.619736843594721 y2[1] (numeric) = -0.6197368435951638 absolute error = 4.427569422205124e-13 relative error = 7.144273360485484e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7848096869249591 y1[1] (numeric) = -0.784809686924642 absolute error = 3.170796958329447e-13 relative error = 4.040211290909599e-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) = -0.6205213432824483 y2[1] (numeric) = -0.6205213432828912 absolute error = 4.428679645229749e-13 relative error = 7.137030326471634e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7841895577798431 y1[1] (numeric) = -0.7841895577795256 absolute error = 3.175237850427948e-13 relative error = 4.049069282964589e-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) = -0.621305222448884 y2[1] (numeric) = -0.6213052224493271 absolute error = 4.430900091279e-13 relative error = 7.131599624761787e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7835686444452348 y1[1] (numeric) = -0.7835686444449167 absolute error = 3.180788965551073e-13 relative error = 4.059362237246063e-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) = -0.6220884803101491 y2[1] (numeric) = -0.6220884803105923 absolute error = 4.432010314303625e-13 relative error = 7.124405055843499e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7829469475420472 y1[1] (numeric) = -0.7829469475417287 absolute error = 3.185229857649574e-13 relative error = 4.068257584564522e-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) = -0.6228711160829856 y2[1] (numeric) = -0.6228711160834289 absolute error = 4.43312053732825e-13 relative error = 7.117235689473874e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7823244676919774 y1[1] (numeric) = -0.7823244676916583 absolute error = 3.1907809727727e-13 relative error = 4.078590283883333e-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) = -0.623653128984758 y2[1] (numeric) = -0.6236531289852014 absolute error = 4.434230760352875e-13 relative error = 7.110091418239717e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7817012055175051 y1[1] (numeric) = -0.7817012055171855 absolute error = 3.196332087895826e-13 relative error = 4.088943531537445e-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) = -0.6244345182334534 y2[1] (numeric) = -0.624434518233897 absolute error = 4.4353409833775e-13 relative error = 7.102972135373347e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7810771616418924 y1[1] (numeric) = -0.7810771616415723 absolute error = 3.201883203018951e-13 relative error = 4.099317404554901e-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) = -0.6252152830476826 y2[1] (numeric) = -0.6252152830481262 absolute error = 4.436451206402126e-13 relative error = 7.095877734747849e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7804523366891831 y1[1] (numeric) = -0.7804523366888625 absolute error = 3.206324095117452e-13 relative error = 4.108289442401116e-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) = -0.6259954226466808 y2[1] (numeric) = -0.6259954226471246 absolute error = 4.437561429426751e-13 relative error = 7.088808110872342e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7798267312842022 y1[1] (numeric) = -0.7798267312838811 absolute error = 3.210764987215953e-13 relative error = 4.117279978244055e-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) = -0.6267749362503087 y2[1] (numeric) = -0.6267749362507524 absolute error = 4.437561429426751e-13 relative error = 7.079991832434357e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7792003460525551 y1[1] (numeric) = -0.7792003460522334 absolute error = 3.216316102339078e-13 relative error = 4.127713903918295e-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) = -0.6275538230790524 y2[1] (numeric) = -0.6275538230794963 absolute error = 4.438671652451376e-13 relative error = 7.072973646584319e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7785731816206267 y1[1] (numeric) = -0.7785731816203046 absolute error = 3.220756994437579e-13 relative error = 4.136742788562873e-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) = -0.6283320823540253 y2[1] (numeric) = -0.6283320823544694 absolute error = 4.440892098500626e-13 relative error = 7.067746854279621e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7779452386155817 y1[1] (numeric) = -0.7779452386152591 absolute error = 3.226308109560705e-13 relative error = 4.147217502484093e-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) = -0.6291097132969683 y2[1] (numeric) = -0.6291097132974124 absolute error = 4.440892098500626e-13 relative error = 7.05901054241762e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7773165176653629 y1[1] (numeric) = -0.7773165176650397 absolute error = 3.231859224683831e-13 relative error = 4.157713301128069e-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) = -0.6298867151302504 y2[1] (numeric) = -0.6298867151306946 absolute error = 4.442002321525251e-13 relative error = 7.052065418789976e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7766870193986911 y1[1] (numeric) = -0.7766870193983675 absolute error = 3.236300116782331e-13 relative error = 4.166800829615854e-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) = -0.6306630870768698 y2[1] (numeric) = -0.6306630870773142 absolute error = 4.444222767574502e-13 relative error = 7.046904850850748e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7760567444450647 y1[1] (numeric) = -0.7760567444447406 absolute error = 3.240741008880832e-13 relative error = 4.175907280076782e-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) = -0.6314388283604547 y2[1] (numeric) = -0.6314388283608993 absolute error = 4.445332990599127e-13 relative error = 7.040005762935953e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7754256934347585 y1[1] (numeric) = -0.7754256934344339 absolute error = 3.246292124003958e-13 relative error = 4.186464482011762e-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) = -0.6322139382052639 y2[1] (numeric) = -0.6322139382057086 absolute error = 4.446443213623752e-13 relative error = 7.033130630188834e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7747938669988236 y1[1] (numeric) = -0.7747938669984984 absolute error = 3.251843239127084e-13 relative error = 4.197043081565876e-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) = -0.6329884158361876 y2[1] (numeric) = -0.6329884158366323 absolute error = 4.447553436648377e-13 relative error = 7.026279352637266e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7741612657690862 y1[1] (numeric) = -0.7741612657687604 absolute error = 3.257394354250209e-13 relative error = 4.207643159483275e-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) = -0.6337622604787482 y2[1] (numeric) = -0.633762260479193 absolute error = 4.448663659673002e-13 relative error = 7.019451830900206e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7735278903781474 y1[1] (numeric) = -0.7735278903778212 absolute error = 3.26183524634871e-13 relative error = 4.216829524730035e-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) = -0.6345354713591012 y2[1] (numeric) = -0.634535471359546 absolute error = 4.448663659673002e-13 relative error = 7.010898303517189e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7728937414593828 y1[1] (numeric) = -0.7728937414590561 absolute error = 3.267386361471836e-13 relative error = 4.227471625403948e-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) = -0.6353080477040356 y2[1] (numeric) = -0.6353080477044806 absolute error = 4.449773882697627e-13 relative error = 7.004120125313756e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7722588196469412 y1[1] (numeric) = -0.7722588196466139 absolute error = 3.272937476594961e-13 relative error = 4.238135445434307e-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) = -0.6360799887409753 y2[1] (numeric) = -0.6360799887414204 absolute error = 4.450884105722253e-13 relative error = 6.997365401373667e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7716231255757443 y1[1] (numeric) = -0.7716231255754165 absolute error = 3.278488591718087e-13 relative error = 4.248821066983772e-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) = -0.6368512936979792 y2[1] (numeric) = -0.6368512936984244 absolute error = 4.451994328746878e-13 relative error = 6.990634034667118e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7709866598814861 y1[1] (numeric) = -0.7709866598811578 absolute error = 3.282929483816588e-13 relative error = 4.258088569679313e-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) = -0.6376219618037425 y2[1] (numeric) = -0.6376219618041878 absolute error = 4.453104551771503e-13 relative error = 6.983925928734165e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7703494232006322 y1[1] (numeric) = -0.7703494232003034 absolute error = 3.287370375915089e-13 relative error = 4.267375656954202e-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) = -0.6383919922875971 y2[1] (numeric) = -0.6383919922880426 absolute error = 4.454214774796128e-13 relative error = 6.977240987680643e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7697114161704194 y1[1] (numeric) = -0.7697114161700901 absolute error = 3.292921491038214e-13 relative error = 4.278124790485294e-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) = -0.6391613843795128 y2[1] (numeric) = -0.6391613843799582 absolute error = 4.454214774796128e-13 relative error = 6.968842116643523e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7690726394288545 y1[1] (numeric) = -0.7690726394285247 absolute error = 3.29847260616134e-13 relative error = 4.288896050977608e-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) = -0.6399301373100972 y2[1] (numeric) = -0.6399301373105427 absolute error = 4.455324997820753e-13 relative error = 6.962205306579885e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7684330936147142 y1[1] (numeric) = -0.7684330936143839 absolute error = 3.302913498259841e-13 relative error = 4.298244734259054e-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) = -0.6406982503105977 y2[1] (numeric) = -0.6406982503110433 absolute error = 4.456435220845378e-13 relative error = 6.955591370329149e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7677927793675444 y1[1] (numeric) = -0.7677927793672137 absolute error = 3.307354390358341e-13 relative error = 4.30761330300959e-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) = -0.6414657226129011 y2[1] (numeric) = -0.641465722613347 absolute error = 4.458655666894629e-13 relative error = 6.95073097395299e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7671516973276593 y1[1] (numeric) = -0.767151697327328 absolute error = 3.312905505481467e-13 relative error = 4.31844903299026e-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) = -0.6422325534495356 y2[1] (numeric) = -0.6422325534499815 absolute error = 4.459765889919254e-13 relative error = 6.944160438403699e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7665098481361406 y1[1] (numeric) = -0.7665098481358089 absolute error = 3.317346397579968e-13 relative error = 4.327858807876361e-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) = -0.64299874205367 y2[1] (numeric) = -0.6429987420541161 absolute error = 4.460876112943879e-13 relative error = 6.937612504024987e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7658672324348378 y1[1] (numeric) = -0.7658672324345056 absolute error = 3.321787289678468e-13 relative error = 4.337288695741524e-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) = -0.643764287659116 y2[1] (numeric) = -0.6437642876595622 absolute error = 4.461986335968504e-13 relative error = 6.931087078771292e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7652238508663664 y1[1] (numeric) = -0.7652238508660336 absolute error = 3.327338404801594e-13 relative error = 4.348189619330957e-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) = -0.644529189500328 y2[1] (numeric) = -0.6445291895007742 absolute error = 4.461986335968504e-13 relative error = 6.922861537780258e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7645797040741078 y1[1] (numeric) = -0.7645797040737745 absolute error = 3.33288951992472e-13 relative error = 4.359113251588059e-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) = -0.6452934468124042 y2[1] (numeric) = -0.6452934468128505 absolute error = 4.463096558993129e-13 relative error = 6.916382896866166e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7639347927022089 y1[1] (numeric) = -0.763934792701875 absolute error = 3.338440635047846e-13 relative error = 4.370059679097782e-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) = -0.6460570588310873 y2[1] (numeric) = -0.6460570588315337 absolute error = 4.464206782017754e-13 relative error = 6.909926485587596e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7632891173955809 y1[1] (numeric) = -0.7632891173952465 absolute error = 3.343991750170971e-13 relative error = 4.381028988833231e-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) = -0.6468200247927655 y2[1] (numeric) = -0.646820024793212 absolute error = 4.46531700504238e-13 relative error = 6.903492214040562e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7626426787998992 y1[1] (numeric) = -0.7626426787995643 absolute error = 3.349542865294097e-13 relative error = 4.392021268157934e-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) = -0.6475823439344728 y2[1] (numeric) = -0.6475823439349193 absolute error = 4.46531700504238e-13 relative error = 6.895365580711715e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7619954775616022 y1[1] (numeric) = -0.7619954775612667 absolute error = 3.355093980417223e-13 relative error = 4.403036604828125e-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) = -0.64834401549389 y2[1] (numeric) = -0.6483440154943367 absolute error = 4.46753745109163e-13 relative error = 6.89068973311705e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7613475143278912 y1[1] (numeric) = -0.7613475143275552 absolute error = 3.359534872515724e-13 relative error = 4.412616852741001e-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) = -0.6491050387093459 y2[1] (numeric) = -0.6491050387097926 absolute error = 4.46753745109163e-13 relative error = 6.882610956116903e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7606987897467292 y1[1] (numeric) = -0.7606987897463927 absolute error = 3.365085987638849e-13 relative error = 4.423677325369793e-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) = -0.649865412819817 y2[1] (numeric) = -0.649865412820264 absolute error = 4.46975789714088e-13 relative error = 6.877974745180314e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7600493044668409 y1[1] (numeric) = -0.7600493044665039 absolute error = 3.370637102761975e-13 relative error = 4.434761117407256e-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) = -0.6506251370649296 y2[1] (numeric) = -0.6506251370653766 absolute error = 4.46975789714088e-13 relative error = 6.869943447473683e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7593990591377116 y1[1] (numeric) = -0.7593990591373739 absolute error = 3.376188217885101e-13 relative error = 4.445868318191916e-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) = -0.6513842106849593 y2[1] (numeric) = -0.6513842106854064 absolute error = 4.470868120165505e-13 relative error = 6.863642143650043e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7587480544095863 y1[1] (numeric) = -0.7587480544092482 absolute error = 3.380629109983602e-13 relative error = 4.455535787322989e-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) = -0.6521426329208326 y2[1] (numeric) = -0.6521426329212798 absolute error = 4.471978343190131e-13 relative error = 6.857362358232773e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7580962909334699 y1[1] (numeric) = -0.7580962909331312 absolute error = 3.386180225106727e-13 relative error = 4.466688817244058e-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) = -0.6529004030141273 y2[1] (numeric) = -0.6529004030145746 absolute error = 4.473088566214756e-13 relative error = 6.851104005396008e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7574437693611257 y1[1] (numeric) = -0.7574437693607865 absolute error = 3.391731340229853e-13 relative error = 4.47786552273134e-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) = -0.6536575202070735 y2[1] (numeric) = -0.6536575202075209 absolute error = 4.474198789239381e-13 relative error = 6.844866999804409e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7567904903450752 y1[1] (numeric) = -0.7567904903447356 absolute error = 3.396172232328354e-13 relative error = 4.487598979712066e-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) = -0.6544139837425539 y2[1] (numeric) = -0.6544139837430014 absolute error = 4.475309012264006e-13 relative error = 6.838651256609747e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7561364545385975 y1[1] (numeric) = -0.7561364545382573 absolute error = 3.40172334745148e-13 relative error = 4.49882204069535e-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) = -0.655169792864105 y2[1] (numeric) = -0.6551697928645527 absolute error = 4.476419235288631e-13 relative error = 6.832456691447507e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7554816625957282 y1[1] (numeric) = -0.7554816625953875 absolute error = 3.407274462574605e-13 relative error = 4.510069047695601e-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) = -0.655924946815918 y2[1] (numeric) = -0.6559249468163657 absolute error = 4.477529458313256e-13 relative error = 6.82628322043353e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7548261151712593 y1[1] (numeric) = -0.7548261151709181 absolute error = 3.411715354673106e-13 relative error = 4.519869260086525e-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) = -0.6566794448428387 y2[1] (numeric) = -0.6566794448432866 absolute error = 4.478639681337881e-13 relative error = 6.820130760160679e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7541698129207381 y1[1] (numeric) = -0.7541698129203964 absolute error = 3.417266469796232e-13 relative error = 4.531163156162258e-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) = -0.6574332861903693 y2[1] (numeric) = -0.6574332861908173 absolute error = 4.479749904362507e-13 relative error = 6.813999227695523e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7535127565004669 y1[1] (numeric) = -0.7535127565001246 absolute error = 3.422817584919358e-13 relative error = 4.542481272401972e-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) = -0.6581864701046686 y2[1] (numeric) = -0.6581864701051167 absolute error = 4.480860127387132e-13 relative error = 6.807888540575074e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.752854946567502 y1[1] (numeric) = -0.7528549465671591 absolute error = 3.428368700042483e-13 relative error = 4.553823702259611e-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) = -0.6589389958325526 y2[1] (numeric) = -0.6589389958330008 absolute error = 4.481970350411757e-13 relative error = 6.80179861680352e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7521963837796533 y1[1] (numeric) = -0.7521963837793099 absolute error = 3.433919815165609e-13 relative error = 4.565190539617821e-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) = -0.6596908626214956 y2[1] (numeric) = -0.6596908626219439 absolute error = 4.483080573436382e-13 relative error = 6.795729374849013e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7515370687954833 y1[1] (numeric) = -0.7515370687951395 absolute error = 3.43836070726411e-13 relative error = 4.575104608978103e-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) = -0.6604420697196309 y2[1] (numeric) = -0.6604420697200793 absolute error = 4.484190796461007e-13 relative error = 6.78968073364046e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7508770022743073 y1[1] (numeric) = -0.7508770022739629 absolute error = 3.443911822387236e-13 relative error = 4.586519246102999e-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) = -0.6611926163757517 y2[1] (numeric) = -0.6611926163762002 absolute error = 4.485301019485632e-13 relative error = 6.78365261256436e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7502161848761916 y1[1] (numeric) = -0.7502161848758466 absolute error = 3.449462937510361e-13 relative error = 4.597958571207881e-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) = -0.6619425018393111 y2[1] (numeric) = -0.6619425018397598 absolute error = 4.486411242510258e-13 relative error = 6.77764493146166e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7495546172619535 y1[1] (numeric) = -0.749554617261608 absolute error = 3.455014052633487e-13 relative error = 4.609422679903302e-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) = -0.6626917253604239 y2[1] (numeric) = -0.6626917253608726 absolute error = 4.487521465534883e-13 relative error = 6.771657610624632e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7488923000931605 y1[1] (numeric) = -0.7488923000928146 absolute error = 3.459454944731988e-13 relative error = 4.619429181341081e-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) = -0.6634402861898665 y2[1] (numeric) = -0.6634402861903154 absolute error = 4.488631688559508e-13 relative error = 6.765690570793782e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.74822923403213 y1[1] (numeric) = -0.7482292340317835 absolute error = 3.465006059855114e-13 relative error = 4.630941832067365e-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) = -0.6641881835790783 y2[1] (numeric) = -0.6641881835795272 absolute error = 4.489741911584133e-13 relative error = 6.759743733154784e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7475654197419278 y1[1] (numeric) = -0.7475654197415808 absolute error = 3.470557174978239e-13 relative error = 4.642479552058914e-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) = -0.6649354167801618 y2[1] (numeric) = -0.6649354167806109 absolute error = 4.490852134608758e-13 relative error = 6.753817019335436e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7469008578863681 y1[1] (numeric) = -0.7469008578860206 absolute error = 3.47499806707674e-13 relative error = 4.652555999079357e-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) = -0.6656819850458839 y2[1] (numeric) = -0.6656819850463331 absolute error = 4.491962357633383e-13 relative error = 6.747910351402649e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7462355491300127 y1[1] (numeric) = -0.7462355491296647 absolute error = 3.479438959175241e-13 relative error = 4.662655060096897e-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) = -0.6664278876296764 y2[1] (numeric) = -0.6664278876301258 absolute error = 4.494182803682634e-13 relative error = 6.743689583080564e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7455694941381704 y1[1] (numeric) = -0.7455694941378219 absolute error = 3.484990074298366e-13 relative error = 4.674265915783997e-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) = -0.6671731237856369 y2[1] (numeric) = -0.6671731237860864 absolute error = 4.495293026707259e-13 relative error = 6.737820914008519e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7449026935768961 y1[1] (numeric) = -0.7449026935765471 absolute error = 3.489430966396867e-13 relative error = 4.684411798326588e-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) = -0.6679176927685292 y2[1] (numeric) = -0.6679176927689787 absolute error = 4.495293026707259e-13 relative error = 6.73030985011671e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7442351481129903 y1[1] (numeric) = -0.7442351481126408 absolute error = 3.494982081519993e-13 relative error = 4.696072323890543e-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) = -0.6686615938337843 y2[1] (numeric) = -0.668661593834234 absolute error = 4.496403249731884e-13 relative error = 6.724482595077232e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7435668584139984 y1[1] (numeric) = -0.7435668584136483 absolute error = 3.500533196643119e-13 relative error = 4.707758498152582e-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) = -0.6694048262375014 y2[1] (numeric) = -0.6694048262379511 absolute error = 4.496403249731884e-13 relative error = 6.717016480153944e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7428978251482101 y1[1] (numeric) = -0.7428978251478595 absolute error = 3.506084311766244e-13 relative error = 4.719470421207346e-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) = -0.670147389236448 y2[1] (numeric) = -0.6701473892368978 absolute error = 4.497513472756509e-13 relative error = 6.71123031290308e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7422280489846586 y1[1] (numeric) = -0.7422280489843074 absolute error = 3.51163542688937e-13 relative error = 4.731208193618069e-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) = -0.6708892820880612 y2[1] (numeric) = -0.6708892820885111 absolute error = 4.498623695781134e-13 relative error = 6.70546365233279e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7415575305931198 y1[1] (numeric) = -0.7415575305927682 absolute error = 3.516076318987871e-13 relative error = 4.741474766193269e-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) = -0.6716305040504482 y2[1] (numeric) = -0.6716305040508982 absolute error = 4.499733918805759e-13 relative error = 6.699716423939808e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7408862706441123 y1[1] (numeric) = -0.7408862706437601 absolute error = 3.521627434110997e-13 relative error = 4.753263184441738e-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) = -0.6723710543823872 y2[1] (numeric) = -0.6723710543828373 absolute error = 4.500844141830385e-13 relative error = 6.693988553633793e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7402142698088958 y1[1] (numeric) = -0.7402142698085432 absolute error = 3.526068326209497e-13 relative error = 4.763577885522035e-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) = -0.6731109323433279 y2[1] (numeric) = -0.6731109323437779 absolute error = 4.500844141830385e-13 relative error = 6.68663057686705e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7395415287594713 y1[1] (numeric) = -0.7395415287591182 absolute error = 3.531619441332623e-13 relative error = 4.775417341682847e-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) = -0.6738501371933922 y2[1] (numeric) = -0.6738501371938423 absolute error = 4.50195436485501e-13 relative error = 6.680943011462158e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7388680481685796 y1[1] (numeric) = -0.7388680481682259 absolute error = 3.537170556455749e-13 relative error = 4.787283149167536e-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) = -0.6745886681933755 y2[1] (numeric) = -0.6745886681938258 absolute error = 4.503064587879635e-13 relative error = 6.675274578713795e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7381938287097014 y1[1] (numeric) = -0.7381938287093471 absolute error = 3.542721671578875e-13 relative error = 4.799175411383815e-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) = -0.6753265246047468 y2[1] (numeric) = -0.6753265246051973 absolute error = 4.50417481090426e-13 relative error = 6.669625206177782e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7375188710570559 y1[1] (numeric) = -0.7375188710567011 absolute error = 3.548272786702e-13 relative error = 4.811094232228125e-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) = -0.6760637056896498 y2[1] (numeric) = -0.6760637056901003 absolute error = 4.505285033928885e-13 relative error = 6.663994821809082e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7368431758856009 y1[1] (numeric) = -0.7368431758852455 absolute error = 3.553823901825126e-13 relative error = 4.82303971608862e-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) = -0.6768002107109035 y2[1] (numeric) = -0.6768002107113541 absolute error = 4.50639525695351e-13 relative error = 6.658383353959129e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7361667438710313 y1[1] (numeric) = -0.7361667438706755 absolute error = 3.558264793923627e-13 relative error = 4.833503854321076e-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) = -0.6775360389320029 y2[1] (numeric) = -0.6775360389324535 absolute error = 4.50639525695351e-13 relative error = 6.651152112966451e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7354895756897792 y1[1] (numeric) = -0.7354895756894229 absolute error = 3.563815909046752e-13 relative error = 4.845501590834141e-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) = -0.6782711896171197 y2[1] (numeric) = -0.6782711896175705 absolute error = 4.507505479978136e-13 relative error = 6.645580040813169e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7348116720190129 y1[1] (numeric) = -0.7348116720186558 absolute error = 3.570477247194503e-13 relative error = 4.859037197087582e-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) = -0.6790056620311035 y2[1] (numeric) = -0.6790056620315543 absolute error = 4.508615703002761e-13 relative error = 6.640026667106397e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7341330335366356 y1[1] (numeric) = -0.734133033536278 absolute error = 3.576028362317629e-13 relative error = 4.871090386834055e-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) = -0.6797394554394818 y2[1] (numeric) = -0.6797394554399327 absolute error = 4.509725926027386e-13 relative error = 6.63449192177854e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7334536609212859 y1[1] (numeric) = -0.7334536609209279 absolute error = 3.58046925441613e-13 relative error = 4.881657076902074e-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) = -0.6804725691084613 y2[1] (numeric) = -0.6804725691089124 absolute error = 4.510836149052011e-13 relative error = 6.628975735145355e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7327735548523365 y1[1] (numeric) = -0.7327735548519779 absolute error = 3.586020369539256e-13 relative error = 4.893763354030818e-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) = -0.6812050023049284 y2[1] (numeric) = -0.6812050023053796 absolute error = 4.511946372076636e-13 relative error = 6.623478037903412e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7320927160098933 y1[1] (numeric) = -0.7320927160095342 absolute error = 3.591571484662381e-13 relative error = 4.905897034787389e-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) = -0.6819367542964501 y2[1] (numeric) = -0.6819367542969013 absolute error = 4.511946372076636e-13 relative error = 6.616370717151891e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7314111450747952 y1[1] (numeric) = -0.7314111450744355 absolute error = 3.597122599785507e-13 relative error = 4.918058227589163e-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) = -0.6826678243512742 y2[1] (numeric) = -0.6826678243517255 absolute error = 4.513056595101261e-13 relative error = 6.610911535767678e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7307288427286128 y1[1] (numeric) = -0.7307288427282527 absolute error = 3.601563491884008e-13 relative error = 4.928727704842494e-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) = -0.6833982117383308 y2[1] (numeric) = -0.6833982117387822 absolute error = 4.514166818125886e-13 relative error = 6.605470632771182e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7300458096536487 y1[1] (numeric) = -0.730045809653288 absolute error = 3.607114607007134e-13 relative error = 4.940942827571923e-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) = -0.6841279157272327 y2[1] (numeric) = -0.6841279157276842 absolute error = 4.514166818125886e-13 relative error = 6.598425110788376e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7293620465329358 y1[1] (numeric) = -0.7293620465325745 absolute error = 3.612665722130259e-13 relative error = 4.953185786542188e-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) = -0.6848569355882759 y2[1] (numeric) = -0.6848569355887274 absolute error = 4.515277041150512e-13 relative error = 6.593022289059533e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.728677554050237 y1[1] (numeric) = -0.7286775540498753 absolute error = 3.61710661422876e-13 relative error = 4.963933078662372e-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) = -0.6855852705924406 y2[1] (numeric) = -0.6855852705928921 absolute error = 4.515277041150512e-13 relative error = 6.58601815824994e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7279923328900449 y1[1] (numeric) = -0.7279923328896828 absolute error = 3.621547506327261e-13 relative error = 4.974705560359596e-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) = -0.6863129200113918 y2[1] (numeric) = -0.6863129200118434 absolute error = 4.516387264175137e-13 relative error = 6.580653128459495e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7273063837375807 y1[1] (numeric) = -0.727306383737218 absolute error = 3.627098621450386e-13 relative error = 4.987029816527884e-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) = -0.6870398831174801 y2[1] (numeric) = -0.6870398831179318 absolute error = 4.517497487199762e-13 relative error = 6.5753060312909e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7266197072787933 y1[1] (numeric) = -0.7266197072784301 absolute error = 3.632649736573512e-13 relative error = 4.999382345653499e-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) = -0.6877661591837426 y2[1] (numeric) = -0.6877661591841945 absolute error = 4.518607710224387e-13 relative error = 6.569976800817271e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7259323042003591 y1[1] (numeric) = -0.7259323041999954 absolute error = 3.637090628672013e-13 relative error = 5.010233884932839e-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) = -0.6884917474839033 y2[1] (numeric) = -0.6884917474843552 absolute error = 4.518607710224387e-13 relative error = 6.563052827775587e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7252441751896813 y1[1] (numeric) = -0.7252441751893171 absolute error = 3.642641743795139e-13 relative error = 5.022641847268111e-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) = -0.6892166472923738 y2[1] (numeric) = -0.6892166472928257 absolute error = 4.519717933249012e-13 relative error = 6.557760830364411e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7245553209348887 y1[1] (numeric) = -0.7245553209345239 absolute error = 3.648192858918264e-13 relative error = 5.035078417768055e-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) = -0.6899408578842544 y2[1] (numeric) = -0.6899408578847065 absolute error = 4.520828156273637e-13 relative error = 6.552486498824017e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7238657421248357 y1[1] (numeric) = -0.7238657421244702 absolute error = 3.654854197066015e-13 relative error = 5.049077452315336e-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) = -0.6906643785353347 y2[1] (numeric) = -0.6906643785357869 absolute error = 4.521938379298263e-13 relative error = 6.547229768658061e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7231754394491007 y1[1] (numeric) = -0.7231754394487347 absolute error = 3.659295089164516e-13 relative error = 5.0600378408206e-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) = -0.691387208522094 y2[1] (numeric) = -0.6913872085225463 absolute error = 4.523048602322888e-13 relative error = 6.541990575717094e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7224844135979865 y1[1] (numeric) = -0.7224844135976201 absolute error = 3.664846204287642e-13 relative error = 5.072560923545237e-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) = -0.6921093471217024 y2[1] (numeric) = -0.6921093471221548 absolute error = 4.524158825347513e-13 relative error = 6.536768856196322e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7217926652625191 y1[1] (numeric) = -0.721792665262152 absolute error = 3.670397319410768e-13 relative error = 5.08511307478558e-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) = -0.6928307936120214 y2[1] (numeric) = -0.6928307936124738 absolute error = 4.524158825347513e-13 relative error = 6.529962101945772e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7211001951344465 y1[1] (numeric) = -0.7211001951340789 absolute error = 3.675948434533893e-13 relative error = 5.097694411036078e-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) = -0.6935515472716044 y2[1] (numeric) = -0.6935515472720569 absolute error = 4.525269048372138e-13 relative error = 6.524776804513392e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7204070039062387 y1[1] (numeric) = -0.7204070039058706 absolute error = 3.680389326632394e-13 relative error = 5.108763944098742e-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) = -0.694271607379698 y2[1] (numeric) = -0.6942716073801506 absolute error = 4.526379271396763e-13 relative error = 6.519608786077407e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7197130922710872 y1[1] (numeric) = -0.7197130922707186 absolute error = 3.68594044175552e-13 relative error = 5.121402516278213e-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) = -0.694990973216242 y2[1] (numeric) = -0.6949909732166948 absolute error = 4.527489494421388e-13 relative error = 6.514457984208507e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7190184609229033 y1[1] (numeric) = -0.7190184609225342 absolute error = 3.691491556878645e-13 relative error = 5.134070621970393e-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) = -0.6957096440618709 y2[1] (numeric) = -0.6957096440623236 absolute error = 4.527489494421388e-13 relative error = 6.507728523048546e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7183231105563185 y1[1] (numeric) = -0.7183231105559488 absolute error = 3.697042672001771e-13 relative error = 5.146768379954431e-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) = -0.6964276191979135 y2[1] (numeric) = -0.6964276191983664 absolute error = 4.528599717446014e-13 relative error = 6.502613613546332e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7176270418666829 y1[1] (numeric) = -0.7176270418663127 absolute error = 3.702593787124897e-13 relative error = 5.159495909593588e-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) = -0.697144897906395 y2[1] (numeric) = -0.697144897906848 absolute error = 4.529709940470639e-13 relative error = 6.497515730336506e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7169302555500654 y1[1] (numeric) = -0.7169302555496945 absolute error = 3.709255125272648e-13 relative error = 5.173801909680487e-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) = -0.6978614794700367 y2[1] (numeric) = -0.6978614794704897 absolute error = 4.529709940470639e-13 relative error = 6.490843919212373e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7162327523032519 y1[1] (numeric) = -0.7162327523028805 absolute error = 3.713696017371149e-13 relative error = 5.185040764232987e-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) = -0.6985773631722572 y2[1] (numeric) = -0.6985773631727102 absolute error = 4.530820163495264e-13 relative error = 6.485781535950002e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7155345328237459 y1[1] (numeric) = -0.715534532823374 absolute error = 3.719247132494274e-13 relative error = 5.197858330913594e-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) = -0.6992925482971726 y2[1] (numeric) = -0.6992925482976258 absolute error = 4.531930386519889e-13 relative error = 6.480735991761194e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7148355978097667 y1[1] (numeric) = -0.7148355978093942 absolute error = 3.7247982476174e-13 relative error = 5.210706152617556e-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) = -0.700007034129598 y2[1] (numeric) = -0.7000070341300513 absolute error = 4.533040609544514e-13 relative error = 6.475707226543777e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7141359479602493 y1[1] (numeric) = -0.7141359479598762 absolute error = 3.730349362740526e-13 relative error = 5.223584351684488e-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) = -0.7007208199550476 y2[1] (numeric) = -0.700720819955501 absolute error = 4.533040609544514e-13 relative error = 6.469110779147844e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7134355839748433 y1[1] (numeric) = -0.7134355839744698 absolute error = 3.734790254839027e-13 relative error = 5.234936886706677e-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) = -0.7014339050597357 y2[1] (numeric) = -0.7014339050601891 absolute error = 4.534150832569139e-13 relative error = 6.46411700355859e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7127345065539129 y1[1] (numeric) = -0.7127345065535389 absolute error = 3.740341369962152e-13 relative error = 5.247874679236151e-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) = -0.7021462887305772 y2[1] (numeric) = -0.7021462887310307 absolute error = 4.535261055593764e-13 relative error = 6.45913982368709e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7120327163985353 y1[1] (numeric) = -0.7120327163981608 absolute error = 3.744782262060653e-13 relative error = 5.259283984873306e-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) = -0.7028579702551884 y2[1] (numeric) = -0.702857970255642 absolute error = 4.53637127861839e-13 relative error = 6.454179180711799e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7113302142105007 y1[1] (numeric) = -0.7113302142101257 absolute error = 3.750333377183779e-13 relative error = 5.272281849219974e-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) = -0.7035689489218879 y2[1] (numeric) = -0.7035689489223417 absolute error = 4.537481501643015e-13 relative error = 6.44923501612175e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7106270006923111 y1[1] (numeric) = -0.7106270006919355 absolute error = 3.755884492306905e-13 relative error = 5.285310702587751e-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) = -0.7042792240196972 y2[1] (numeric) = -0.704279224020151 absolute error = 4.537481501643015e-13 relative error = 6.442730875610936e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.70992307654718 y1[1] (numeric) = -0.709923076546804 absolute error = 3.760325384405405e-13 relative error = 5.296806807146382e-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) = -0.7049887948383411 y2[1] (numeric) = -0.704988794838795 absolute error = 4.53859172466764e-13 relative error = 6.437821080132729e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7092184424790315 y1[1] (numeric) = -0.709218442478655 absolute error = 3.765876499528531e-13 relative error = 5.309896463443802e-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) = -0.705697660668249 y2[1] (numeric) = -0.7056976606687029 absolute error = 4.53859172466764e-13 relative error = 6.431354357005936e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7085130991924997 y1[1] (numeric) = -0.7085130991921226 absolute error = 3.771427614651657e-13 relative error = 5.323017484009816e-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) = -0.7064058208005549 y2[1] (numeric) = -0.7064058208010089 absolute error = 4.539701947692265e-13 relative error = 6.42647868125933e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7078070473929278 y1[1] (numeric) = -0.7078070473925501 absolute error = 3.776978729774783e-13 relative error = 5.336169996733662e-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) = -0.707113274527099 y2[1] (numeric) = -0.707113274527553 absolute error = 4.539701947692265e-13 relative error = 6.420049108437842e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7071002877863674 y1[1] (numeric) = -0.7071002877859891 absolute error = 3.782529844897908e-13 relative error = 5.349354130146677e-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) = -0.7078200211404274 y2[1] (numeric) = -0.7078200211408815 absolute error = 4.54081217071689e-13 relative error = 6.415207305666223e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7063928210795781 y1[1] (numeric) = -0.7063928210791993 absolute error = 3.788080960021034e-13 relative error = 5.362570013426412e-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) = -0.7085260599337937 y2[1] (numeric) = -0.7085260599342479 absolute error = 4.541922393741515e-13 relative error = 6.410381566157106e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7056846479800266 y1[1] (numeric) = -0.7056846479796474 absolute error = 3.792521852119535e-13 relative error = 5.374244519808339e-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) = -0.7092313902011591 y2[1] (numeric) = -0.7092313902016134 absolute error = 4.543032616766141e-13 relative error = 6.405571833865956e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.704975769195886 y1[1] (numeric) = -0.7049757691955062 absolute error = 3.798072967242661e-13 relative error = 5.387522710993092e-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) = -0.7099360112371934 y2[1] (numeric) = -0.7099360112376478 absolute error = 4.544142839790766e-13 relative error = 6.400778053041379e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7042661854360349 y1[1] (numeric) = -0.7042661854356546 absolute error = 3.803624082365786e-13 relative error = 5.40083303873355e-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) = -0.7106399223372757 y2[1] (numeric) = -0.7106399223377301 absolute error = 4.544142839790766e-13 relative error = 6.394437881909591e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7035558974100571 y1[1] (numeric) = -0.7035558974096762 absolute error = 3.809175197488912e-13 relative error = 5.414175634816392e-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) = -0.7113431227974948 y2[1] (numeric) = -0.7113431227979493 absolute error = 4.545253062815391e-13 relative error = 6.389677382330347e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7028449058282406 y1[1] (numeric) = -0.7028449058278591 absolute error = 3.814726312612038e-13 relative error = 5.42755063169551e-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) = -0.7120456119146503 y2[1] (numeric) = -0.712045611915105 absolute error = 4.546363285840016e-13 relative error = 6.384932664095918e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7021332114015767 y1[1] (numeric) = -0.7021332114011947 absolute error = 3.820277427735164e-13 relative error = 5.440958162496321e-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) = -0.7127473889862533 y2[1] (numeric) = -0.7127473889867081 absolute error = 4.547473508864641e-13 relative error = 6.380203672625937e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7014208148417599 y1[1] (numeric) = -0.7014208148413774 absolute error = 3.824718319833664e-13 relative error = 5.452815540834097e-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) = -0.7134484533105268 y2[1] (numeric) = -0.7134484533109816 absolute error = 4.548583731889266e-13 relative error = 6.375490353624057e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.7007077168611867 y1[1] (numeric) = -0.7007077168608037 absolute error = 3.83026943495679e-13 relative error = 5.466286930754015e-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) = -0.7141488041864064 y2[1] (numeric) = -0.7141488041868612 absolute error = 4.548583731889266e-13 relative error = 6.369238042863122e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6999939181729551 y1[1] (numeric) = -0.6999939181725715 absolute error = 3.835820550079916e-13 relative error = 5.479791253175086e-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) = -0.7148484409135413 y2[1] (numeric) = -0.7148484409139962 absolute error = 4.549693954913892e-13 relative error = 6.364557428564305e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6992794194908637 y1[1] (numeric) = -0.6992794194904796 absolute error = 3.841371665203042e-13 relative error = 5.493328643934487e-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) = -0.7155473627922948 y2[1] (numeric) = -0.7155473627927499 absolute error = 4.550804177938517e-13 relative error = 6.35989232100559e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.698564221529411 y1[1] (numeric) = -0.6985642215290263 absolute error = 3.846922780326167e-13 relative error = 5.506899239562907e-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) = -0.7162455691237452 y2[1] (numeric) = -0.7162455691242003 absolute error = 4.551914400963142e-13 relative error = 6.355242667025436e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.697848325003795 y1[1] (numeric) = -0.6978483250034098 absolute error = 3.852473895449293e-13 relative error = 5.520503177289052e-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) = -0.7169430592096862 y2[1] (numeric) = -0.7169430592101413 absolute error = 4.551914400963142e-13 relative error = 6.349059862551556e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6971317306299122 y1[1] (numeric) = -0.6971317306295264 absolute error = 3.858025010572419e-13 relative error = 5.534140595044206e-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) = -0.7176398323526276 y2[1] (numeric) = -0.7176398323530829 absolute error = 4.553024623987767e-13 relative error = 6.344442460867391e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6964144391243569 y1[1] (numeric) = -0.6964144391239705 absolute error = 3.863576125695545e-13 relative error = 5.547811631466814e-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) = -0.7183358878557966 y2[1] (numeric) = -0.7183358878562519 absolute error = 4.553024623987767e-13 relative error = 6.338294801862622e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6956964512044204 y1[1] (numeric) = -0.6956964512040335 absolute error = 3.869127240818671e-13 relative error = 5.561516425907114e-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) = -0.7190312250231375 y2[1] (numeric) = -0.719031225023593 absolute error = 4.554134847012392e-13 relative error = 6.333709425297692e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6949777675880907 y1[1] (numeric) = -0.6949777675877032 absolute error = 3.874678355941796e-13 relative error = 5.575255118431782e-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) = -0.7197258431593133 y2[1] (numeric) = -0.7197258431597688 absolute error = 4.555245070037017e-13 relative error = 6.329139231740357e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6942583889940513 y1[1] (numeric) = -0.6942583889936633 absolute error = 3.880229471064922e-13 relative error = 5.589027849828645e-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) = -0.720419741569706 y2[1] (numeric) = -0.7204197415701615 absolute error = 4.555245070037017e-13 relative error = 6.323043091672777e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6935383161416808 y1[1] (numeric) = -0.6935383161412922 absolute error = 3.885780586188048e-13 relative error = 5.602834761611403e-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) = -0.7211129195604171 y2[1] (numeric) = -0.7211129195608728 absolute error = 4.556355293061642e-13 relative error = 6.318504591263112e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6928175497510519 y1[1] (numeric) = -0.6928175497506629 absolute error = 3.890221478286549e-13 relative error = 5.615073520704564e-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) = -0.7218053764382688 y2[1] (numeric) = -0.7218053764387244 absolute error = 4.556355293061642e-13 relative error = 6.312442996122955e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6920960905429311 y1[1] (numeric) = -0.6920960905425415 absolute error = 3.895772593409674e-13 relative error = 5.628947550265085e-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) = -0.7224971115108042 y2[1] (numeric) = -0.7224971115112598 absolute error = 4.556355293061642e-13 relative error = 6.306399320453902e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6913739392387773 y1[1] (numeric) = -0.6913739392383872 absolute error = 3.9013237085328e-13 relative error = 5.642856184061942e-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) = -0.7231881240862882 y2[1] (numeric) = -0.7231881240867439 absolute error = 4.557465516086268e-13 relative error = 6.301908679493867e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.690651096560742 y1[1] (numeric) = -0.6906510965603513 absolute error = 3.906874823655926e-13 relative error = 5.656799566541078e-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) = -0.7238784134737085 y2[1] (numeric) = -0.7238784134741643 absolute error = 4.557465516086268e-13 relative error = 6.295899188671961e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6899275632316676 y1[1] (numeric) = -0.6899275632312764 absolute error = 3.912425938779052e-13 relative error = 5.670777842898438e-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) = -0.7245679789827756 y2[1] (numeric) = -0.7245679789832314 absolute error = 4.558575739110893e-13 relative error = 6.29143968728883e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6892033399750875 y1[1] (numeric) = -0.6892033399746957 absolute error = 3.917977053902177e-13 relative error = 5.684791159084922e-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) = -0.7252568199239241 y2[1] (numeric) = -0.72525681992438 absolute error = 4.558575739110893e-13 relative error = 6.285464147154198e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6884784275152249 y1[1] (numeric) = -0.6884784275148326 absolute error = 3.923528169025303e-13 relative error = 5.698839661811392e-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) = -0.7259449356083131 y2[1] (numeric) = -0.725944935608769 absolute error = 4.559685962135518e-13 relative error = 6.281035569612014e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6877528265769921 y1[1] (numeric) = -0.6877528265765992 absolute error = 3.929079284148429e-13 relative error = 5.712923498553704e-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) = -0.726632325347827 y2[1] (numeric) = -0.726632325348283 absolute error = 4.560796185160143e-13 relative error = 6.276621650402031e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6870265378859901 y1[1] (numeric) = -0.6870265378855966 absolute error = 3.934630399271555e-13 relative error = 5.72704281755779e-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) = -0.727318988455076 y2[1] (numeric) = -0.7273189884555322 absolute error = 4.561906408184768e-13 relative error = 6.272222340674584e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6862995621685074 y1[1] (numeric) = -0.6862995621681134 absolute error = 3.940181514394681e-13 relative error = 5.741197767844774e-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) = -0.7280049242433974 y2[1] (numeric) = -0.7280049242438535 absolute error = 4.561906408184768e-13 relative error = 6.266312570517125e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6855719001515197 y1[1] (numeric) = -0.6855719001511252 absolute error = 3.944622406493181e-13 relative error = 5.753769087708192e-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) = -0.728690132026855 y2[1] (numeric) = -0.7286901320273113 absolute error = 4.563016631209393e-13 relative error = 6.261943768220576e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.684843552562689 y1[1] (numeric) = -0.684843552562294 absolute error = 3.950173521616307e-13 relative error = 5.767994028467863e-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) = -0.7293746111202414 y2[1] (numeric) = -0.7293746111206977 absolute error = 4.563016631209393e-13 relative error = 6.256067268644144e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6841145201303629 y1[1] (numeric) = -0.6841145201299673 absolute error = 3.955724636739433e-13 relative error = 5.782255046984884e-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) = -0.7300583608390774 y2[1] (numeric) = -0.7300583608395338 absolute error = 4.564126854234019e-13 relative error = 6.251728764517311e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6833848035835736 y1[1] (numeric) = -0.6833848035831774 absolute error = 3.961275751862559e-13 relative error = 5.796552295412756e-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) = -0.7307413804996135 y2[1] (numeric) = -0.7307413805000699 absolute error = 4.564126854234019e-13 relative error = 6.245885310495883e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6826544036520377 y1[1] (numeric) = -0.682654403651641 absolute error = 3.966826866985684e-13 relative error = 5.810885926706266e-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) = -0.7314236694188299 y2[1] (numeric) = -0.7314236694192864 absolute error = 4.565237077258644e-13 relative error = 6.241576897403473e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6819233210661549 y1[1] (numeric) = -0.6819233210657577 absolute error = 3.97237798210881e-13 relative error = 5.825256094626863e-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) = -0.7321052269144378 y2[1] (numeric) = -0.7321052269148944 absolute error = 4.566347300283269e-13 relative error = 6.237282746264213e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.681191556557008 y1[1] (numeric) = -0.6811915565566102 absolute error = 3.977929097231936e-13 relative error = 5.83966295374806e-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) = -0.7327860523048799 y2[1] (numeric) = -0.7327860523053366 absolute error = 4.566347300283269e-13 relative error = 6.231487739048032e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6804591108563613 y1[1] (numeric) = -0.680459110855963 absolute error = 3.983480212355062e-13 relative error = 5.854106659460892e-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) = -0.7334661449093307 y2[1] (numeric) = -0.7334661449097875 absolute error = 4.567457523307894e-13 relative error = 6.227223376305271e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6797259846966605 y1[1] (numeric) = -0.6797259846962616 absolute error = 3.989031327478187e-13 relative error = 5.86858736797941e-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) = -0.7341455040476977 y2[1] (numeric) = -0.7341455040481546 absolute error = 4.568567746332519e-13 relative error = 6.222973131543821e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6789921788110315 y1[1] (numeric) = -0.6789921788106321 absolute error = 3.993472219576688e-13 relative error = 5.88147013205597e-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) = -0.7348241290406219 y2[1] (numeric) = -0.7348241290410789 absolute error = 4.569677969357144e-13 relative error = 6.218736958628814e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6782576939332804 y1[1] (numeric) = -0.6782576939328804 absolute error = 4.000133557724439e-13 relative error = 5.897660422438095e-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) = -0.7355020192094783 y2[1] (numeric) = -0.7355020192099353 absolute error = 4.569677969357144e-13 relative error = 6.213005335143281e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6775225307978918 y1[1] (numeric) = -0.6775225307974913 absolute error = 4.005684672847565e-13 relative error = 5.912253084971545e-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) = -0.7361791738763768 y2[1] (numeric) = -0.7361791738768338 absolute error = 4.570788192381769e-13 relative error = 6.208798556897674e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6767866901400289 y1[1] (numeric) = -0.6767866901396278 absolute error = 4.011235787970691e-13 relative error = 5.926883383508555e-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) = -0.7368555923641626 y2[1] (numeric) = -0.7368555923646198 absolute error = 4.571898415406395e-13 relative error = 6.204605709427675e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6760501726955322 y1[1] (numeric) = -0.6760501726951306 absolute error = 4.016786903093816e-13 relative error = 5.941551478462276e-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) = -0.7375312739964176 y2[1] (numeric) = -0.7375312739968749 absolute error = 4.57300863843102e-13 relative error = 6.200426747535091e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6753129792009193 y1[1] (numeric) = -0.675312979200517 absolute error = 4.022338018216942e-13 relative error = 5.956257531102797e-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) = -0.73820621809746 y2[1] (numeric) = -0.7382062180979174 absolute error = 4.574118861455645e-13 relative error = 6.196261626248938e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6745751103933834 y1[1] (numeric) = -0.6745751103929806 absolute error = 4.027889133340068e-13 relative error = 5.971001703562966e-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) = -0.7388804239923459 y2[1] (numeric) = -0.7388804239928033 absolute error = 4.574118861455645e-13 relative error = 6.190607726133273e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6738365670107932 y1[1] (numeric) = -0.67383656701039 absolute error = 4.032330025438569e-13 relative error = 5.984136544156976e-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) = -0.7395538910068693 y2[1] (numeric) = -0.7395538910073268 absolute error = 4.57522908448027e-13 relative error = 6.186471520353036e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6730973497916922 y1[1] (numeric) = -0.6730973497912884 absolute error = 4.037881140561694e-13 relative error = 5.998955636671758e-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) = -0.7402266184675633 y2[1] (numeric) = -0.740226618468021 absolute error = 4.576339307504895e-13 relative error = 6.182349017627809e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6723574594752976 y1[1] (numeric) = -0.6723574594748932 absolute error = 4.04343225568482e-13 relative error = 6.01381333500826e-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) = -0.7408986057017006 y2[1] (numeric) = -0.7408986057021583 absolute error = 4.576339307504895e-13 relative error = 6.176741692165383e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6716168968014995 y1[1] (numeric) = -0.6716168968010946 absolute error = 4.048983370807946e-13 relative error = 6.028709804787189e-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) = -0.7415698520372939 y2[1] (numeric) = -0.7415698520377516 absolute error = 4.57744953052952e-13 relative error = 6.172647819964664e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6708756625108605 y1[1] (numeric) = -0.6708756625104552 absolute error = 4.053424262906447e-13 relative error = 6.041990326099849e-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) = -0.742240356803097 y2[1] (numeric) = -0.7422403568035547 absolute error = 4.57744953052952e-13 relative error = 6.167071742427279e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.670133757344615 y1[1] (numeric) = -0.6701337573442091 absolute error = 4.058975378029572e-13 relative error = 6.056963007076589e-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) = -0.7429101193286051 y2[1] (numeric) = -0.7429101193290629 absolute error = 4.578559753554146e-13 relative error = 6.163006310496829e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.669391182044668 y1[1] (numeric) = -0.6693911820442615 absolute error = 4.064526493152698e-13 relative error = 6.071974956015293e-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) = -0.7435791389440558 y2[1] (numeric) = -0.7435791389445137 absolute error = 4.578559753554146e-13 relative error = 6.15746127581804e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6686479373535946 y1[1] (numeric) = -0.6686479373531876 absolute error = 4.070077608275824e-13 relative error = 6.087026342120433e-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) = -0.7442474149804295 y2[1] (numeric) = -0.7442474149808874 absolute error = 4.579669976578771e-13 relative error = 6.153424095801793e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6679040240146397 y1[1] (numeric) = -0.6679040240142321 absolute error = 4.07562872339895e-13 relative error = 6.102117335513489e-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) = -0.7449149467694502 y2[1] (numeric) = -0.7449149467699082 absolute error = 4.579669976578771e-13 relative error = 6.147909900908687e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6671594427717165 y1[1] (numeric) = -0.6671594427713082 absolute error = 4.082290061546701e-13 relative error = 6.118912211729794e-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) = -0.7455817336435863 y2[1] (numeric) = -0.7455817336440443 absolute error = 4.580780199603396e-13 relative error = 6.143900786326353e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.666414194369406 y1[1] (numeric) = -0.6664141943689972 absolute error = 4.087841176669826e-13 relative error = 6.134084794724313e-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) = -0.7462477749360509 y2[1] (numeric) = -0.746247774936509 absolute error = 4.580780199603396e-13 relative error = 6.138417230116287e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6656682795529566 y1[1] (numeric) = -0.6656682795525474 absolute error = 4.092282068768327e-13 relative error = 6.147629674522848e-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) = -0.7469130699808026 y2[1] (numeric) = -0.7469130699812608 absolute error = 4.581890422628021e-13 relative error = 6.134435996341296e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6649216990682832 y1[1] (numeric) = -0.6649216990678735 absolute error = 4.097833183891453e-13 relative error = 6.162880816844318e-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) = -0.7475776181125467 y2[1] (numeric) = -0.7475776181130049 absolute error = 4.581890422628021e-13 relative error = 6.128982879658957e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6641744536619661 y1[1] (numeric) = -0.6641744536615559 absolute error = 4.102274075989953e-13 relative error = 6.176500847588787e-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) = -0.748241418666735 y2[1] (numeric) = -0.7482414186671933 absolute error = 4.583000645652646e-13 relative error = 6.125029343896698e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6634265440812508 y1[1] (numeric) = -0.66342654408084 absolute error = 4.107825191113079e-13 relative error = 6.191831224965258e-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) = -0.7489044709795669 y2[1] (numeric) = -0.7489044709800253 absolute error = 4.584110868677271e-13 relative error = 6.121088932319038e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6626779710740467 y1[1] (numeric) = -0.6626779710736354 absolute error = 4.113376306236205e-13 relative error = 6.207202420761595e-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) = -0.7495667743879902 y2[1] (numeric) = -0.7495667743884488 absolute error = 4.585221091701897e-13 relative error = 6.117161603708568e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6619287353889267 y1[1] (numeric) = -0.6619287353885148 absolute error = 4.118927421359331e-13 relative error = 6.222614612642839e-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) = -0.7502283282297016 y2[1] (numeric) = -0.7502283282301603 absolute error = 4.586331314726522e-13 relative error = 6.113247317051854e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6611788377751264 y1[1] (numeric) = -0.6611788377747141 absolute error = 4.123368313457831e-13 relative error = 6.236388822323788e-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) = -0.7508891318431474 y2[1] (numeric) = -0.7508891318436061 absolute error = 4.586331314726522e-13 relative error = 6.10786748700014e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6604282789825435 y1[1] (numeric) = -0.6604282789821306 absolute error = 4.128919428580957e-13 relative error = 6.251881634962656e-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) = -0.7515491845675238 y2[1] (numeric) = -0.7515491845679826 absolute error = 4.587441537751147e-13 relative error = 6.10398046056157e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6596770597617367 y1[1] (numeric) = -0.6596770597613233 absolute error = 4.134470543704083e-13 relative error = 6.267415976534606e-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) = -0.7522084857427784 y2[1] (numeric) = -0.7522084857432372 absolute error = 4.587441537751147e-13 relative error = 6.098630399285134e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.658925180863925 y1[1] (numeric) = -0.6589251808635112 absolute error = 4.138911435802584e-13 relative error = 6.281307128642443e-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) = -0.7528670347096099 y2[1] (numeric) = -0.7528670347100687 absolute error = 4.587441537751147e-13 relative error = 6.093295796276403e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6581726430409874 y1[1] (numeric) = -0.658172643040573 absolute error = 4.144462550925709e-13 relative error = 6.296923147362743e-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) = -0.7535248308094694 y2[1] (numeric) = -0.7535248308099282 absolute error = 4.587441537751147e-13 relative error = 6.087976600350537e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6574194470454616 y1[1] (numeric) = -0.6574194470450466 absolute error = 4.150013666048835e-13 relative error = 6.312581236681693e-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) = -0.7541818733845609 y2[1] (numeric) = -0.7541818733850197 absolute error = 4.588551760775772e-13 relative error = 6.084144849814029e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6566655936305436 y1[1] (numeric) = -0.656665593630128 absolute error = 4.155564781171961e-13 relative error = 6.32828158118786e-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) = -0.7548381617778418 y2[1] (numeric) = -0.7548381617783008 absolute error = 4.589661983800397e-13 relative error = 6.080325844934151e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6559110835500866 y1[1] (numeric) = -0.6559110835496705 absolute error = 4.161115896295087e-13 relative error = 6.344024366493779e-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) = -0.7554936953330239 y2[1] (numeric) = -0.7554936953334829 absolute error = 4.589661983800397e-13 relative error = 6.075050013193373e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6551559175586008 y1[1] (numeric) = -0.6551559175581841 absolute error = 4.166667011418212e-13 relative error = 6.359809779243157e-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) = -0.7561484733945736 y2[1] (numeric) = -0.7561484733950327 absolute error = 4.590772206825022e-13 relative error = 6.071257654221917e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.654400096411252 y1[1] (numeric) = -0.6544000964108347 absolute error = 4.172218126541338e-13 relative error = 6.375638007118118e-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) = -0.7568024953077128 y2[1] (numeric) = -0.756802495308172 absolute error = 4.591882429849647e-13 relative error = 6.067477919695028e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6536436208638613 y1[1] (numeric) = -0.6536436208634435 absolute error = 4.177769241664464e-13 relative error = 6.391509238846525e-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) = -0.7574557604184202 y2[1] (numeric) = -0.7574557604188792 absolute error = 4.589661983800397e-13 relative error = 6.059313591152911e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6528864916729039 y1[1] (numeric) = -0.6528864916724859 absolute error = 4.179989687713714e-13 relative error = 6.402322212247407e-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) = -0.7581082680734302 y2[1] (numeric) = -0.758108268073889 absolute error = 4.587441537751147e-13 relative error = 6.05116937902438e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6521287095955092 y1[1] (numeric) = -0.6521287095950911 absolute error = 4.18109991073834e-13 relative error = 6.411464254244715e-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) = -0.7587600176202355 y2[1] (numeric) = -0.7587600176206939 absolute error = 4.584110868677271e-13 relative error = 6.041582005144148e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6513702753894592 y1[1] (numeric) = -0.6513702753890409 absolute error = 4.18332035678759e-13 relative error = 6.422338437667194e-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) = -0.7594110084070862 y2[1] (numeric) = -0.7594110084075444 absolute error = 4.581890422628021e-13 relative error = 6.033479067203454e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6506111898131882 y1[1] (numeric) = -0.6506111898127697 absolute error = 4.18554080283684e-13 relative error = 6.433244414438439e-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) = -0.7600612397829919 y2[1] (numeric) = -0.7600612397834497 absolute error = 4.578559753554146e-13 relative error = 6.023935327713051e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6498514536257816 y1[1] (numeric) = -0.6498514536253628 absolute error = 4.18776124888609e-13 relative error = 6.44418232123802e-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) = -0.760710711097721 y2[1] (numeric) = -0.7607107110981787 absolute error = 4.576339307504895e-13 relative error = 6.015873367815663e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6490910675869754 y1[1] (numeric) = -0.6490910675865564 absolute error = 4.189981694935341e-13 relative error = 6.455152295519613e-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) = -0.7613594217018026 y2[1] (numeric) = -0.7613594217022599 absolute error = 4.57300863843102e-13 relative error = 6.006372953537974e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6483300324571558 y1[1] (numeric) = -0.6483300324567366 absolute error = 4.192202140984591e-13 relative error = 6.466154475516492e-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) = -0.7620073709465258 y2[1] (numeric) = -0.7620073709469829 absolute error = 4.570788192381769e-13 relative error = 5.998351678283866e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6475683489973578 y1[1] (numeric) = -0.6475683489969384 absolute error = 4.194422587033841e-13 relative error = 6.477189000247069e-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) = -0.7626545581839417 y2[1] (numeric) = -0.7626545581843984 absolute error = 4.567457523307894e-13 relative error = 5.98889428286389e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6468060179692647 y1[1] (numeric) = -0.6468060179688451 absolute error = 4.196643033083092e-13 relative error = 6.488256009520477e-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) = -0.7633009827668628 y2[1] (numeric) = -0.7633009827673194 absolute error = 4.566347300283269e-13 relative error = 5.982367903852131e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6460430401352075 y1[1] (numeric) = -0.6460430401347877 absolute error = 4.197753256107717e-13 relative error = 6.497637146944865e-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) = -0.7639466440488648 y2[1] (numeric) = -0.7639466440493212 absolute error = 4.564126854234019e-13 relative error = 5.974405267420849e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6452794162581641 y1[1] (numeric) = -0.6452794162577441 absolute error = 4.199973702156967e-13 relative error = 6.508767514252518e-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) = -0.7645915413842864 y2[1] (numeric) = -0.7645915413847426 absolute error = 4.561906408184768e-13 relative error = 5.966462040536672e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6445151471017582 y1[1] (numeric) = -0.6445151471013379 absolute error = 4.202194148206218e-13 relative error = 6.51993078378771e-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) = -0.7652356741282303 y2[1] (numeric) = -0.7652356741286863 absolute error = 4.559685962135518e-13 relative error = 5.958538155359773e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6437502334302588 y1[1] (numeric) = -0.6437502334298384 absolute error = 4.204414594255468e-13 relative error = 6.531127098551889e-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) = -0.765879041636564 y2[1] (numeric) = -0.7658790416370197 absolute error = 4.557465516086268e-13 relative error = 5.950633544361882e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6429846760085798 y1[1] (numeric) = -0.6429846760081591 absolute error = 4.206635040304718e-13 relative error = 6.542356602365724e-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) = -0.7665216432659198 y2[1] (numeric) = -0.7665216432663753 absolute error = 4.555245070037017e-13 relative error = 5.942748140324491e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6422184756022783 y1[1] (numeric) = -0.6422184756018574 absolute error = 4.208855486353968e-13 relative error = 6.553619439874983e-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) = -0.7671634783736961 y2[1] (numeric) = -0.7671634783741514 absolute error = 4.553024623987767e-13 relative error = 5.934881876337086e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6414516329775546 y1[1] (numeric) = -0.6414516329771336 absolute error = 4.209965709378594e-13 relative error = 6.563184958835247e-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) = -0.7678045463180581 y2[1] (numeric) = -0.7678045463185131 absolute error = 4.550804177938517e-13 relative error = 5.927034685795381e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6406841489012515 y1[1] (numeric) = -0.6406841489008303 absolute error = 4.212186155427844e-13 relative error = 6.574512827657091e-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) = -0.7684448464579378 y2[1] (numeric) = -0.7684448464583925 absolute error = 4.547473508864641e-13 relative error = 5.917761736350659e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6399160241408528 y1[1] (numeric) = -0.6399160241404314 absolute error = 4.214406601477094e-13 relative error = 6.585874462411423e-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) = -0.7690843781530349 y2[1] (numeric) = -0.7690843781534895 absolute error = 4.546363285840016e-13 relative error = 5.9113972601526e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6391472594644834 y1[1] (numeric) = -0.6391472594640617 absolute error = 4.216627047526345e-13 relative error = 6.59727001107584e-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) = -0.769723140763818 y2[1] (numeric) = -0.7697231407642724 absolute error = 4.544142839790766e-13 relative error = 5.903606893358415e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6383778556409077 y1[1] (numeric) = -0.6383778556404859 absolute error = 4.21773727055097e-13 relative error = 6.606960491003432e-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) = -0.7703611336515245 y2[1] (numeric) = -0.7703611336519787 absolute error = 4.541922393741515e-13 relative error = 5.895835336620279e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6376078134395295 y1[1] (numeric) = -0.6376078134391076 absolute error = 4.21995771660022e-13 relative error = 6.618422214489439e-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) = -0.7709983561781616 y2[1] (numeric) = -0.7709983561786155 absolute error = 4.53859172466764e-13 relative error = 5.886642543786263e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6368371336303912 y1[1] (numeric) = -0.636837133629969 absolute error = 4.22217816264947e-13 relative error = 6.629918294148888e-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) = -0.7716348077065067 y2[1] (numeric) = -0.7716348077069604 absolute error = 4.53637127861839e-13 relative error = 5.8789095998684e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6360658169841722 y1[1] (numeric) = -0.6360658169837498 absolute error = 4.224398608698721e-13 relative error = 6.641448881388072e-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) = -0.7722704876001084 y2[1] (numeric) = -0.7722704876005618 absolute error = 4.534150832569139e-13 relative error = 5.871195268201134e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6352938642721893 y1[1] (numeric) = -0.6352938642717666 absolute error = 4.226619054747971e-13 relative error = 6.653014128493286e-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) = -0.7729053952232869 y2[1] (numeric) = -0.77290539522374 absolute error = 4.530820163495264e-13 relative error = 5.862063056483571e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.634521276266395 y1[1] (numeric) = -0.6345212762659721 absolute error = 4.228839500797221e-13 relative error = 6.664614188637233e-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) = -0.7735395299411345 y2[1] (numeric) = -0.7735395299415875 absolute error = 4.529709940470639e-13 relative error = 5.855822185086449e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6337480537393773 y1[1] (numeric) = -0.6337480537389543 absolute error = 4.229949723821846e-13 relative error = 6.674497379302993e-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) = -0.7741728911195167 y2[1] (numeric) = -0.7741728911199695 absolute error = 4.527489494421388e-13 relative error = 5.848163306098554e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6329741974643587 y1[1] (numeric) = -0.6329741974639355 absolute error = 4.232170169871097e-13 relative error = 6.686165386874875e-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) = -0.7748054781250723 y2[1] (numeric) = -0.7748054781255248 absolute error = 4.525269048372138e-13 relative error = 5.840522784277024e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6321997082151953 y1[1] (numeric) = -0.6321997082147719 absolute error = 4.234390615920347e-13 relative error = 6.697868665385396e-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) = -0.7754372903252144 y2[1] (numeric) = -0.7754372903256666 absolute error = 4.521938379298263e-13 relative error = 5.831468818583364e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6314245867663765 y1[1] (numeric) = -0.6314245867659528 absolute error = 4.236611061969597e-13 relative error = 6.709607371588017e-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) = -0.7760683270881307 y2[1] (numeric) = -0.7760683270885826 absolute error = 4.519717933249012e-13 relative error = 5.82386598639755e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6306488338930235 y1[1] (numeric) = -0.6306488338925996 absolute error = 4.238831508018848e-13 relative error = 6.721381663155311e-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) = -0.7766985877827846 y2[1] (numeric) = -0.7766985877832363 absolute error = 4.517497487199762e-13 relative error = 5.816281319753279e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6298724503708891 y1[1] (numeric) = -0.6298724503704651 absolute error = 4.239941731043473e-13 relative error = 6.731429083057782e-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) = -0.7773280717789154 y2[1] (numeric) = -0.7773280717793669 absolute error = 4.515277041150512e-13 relative error = 5.808714756457077e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6290954369763568 y1[1] (numeric) = -0.6290954369759327 absolute error = 4.241051954068098e-13 relative error = 6.741508052342602e-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) = -0.7779567784470391 y2[1] (numeric) = -0.7779567784474906 absolute error = 4.514166818125886e-13 relative error = 5.802593335759715e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6283177944864401 y1[1] (numeric) = -0.6283177944860158 absolute error = 4.243272400117348e-13 relative error = 6.753385686912809e-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) = -0.7785847071584494 y2[1] (numeric) = -0.7785847071589006 absolute error = 4.511946372076636e-13 relative error = 5.795061642738395e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6275395236787812 y1[1] (numeric) = -0.6275395236783566 absolute error = 4.245492846166599e-13 relative error = 6.765299532495645e-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) = -0.7792118572852174 y2[1] (numeric) = -0.7792118572856683 absolute error = 4.509725926027386e-13 relative error = 5.787547871434247e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6267606253316509 y1[1] (numeric) = -0.6267606253312261 absolute error = 4.247713292215849e-13 relative error = 6.777249751399376e-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) = -0.7798382282001929 y2[1] (numeric) = -0.7798382282006437 absolute error = 4.508615703002761e-13 relative error = 5.781475618870726e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6259811002239475 y1[1] (numeric) = -0.6259811002235225 absolute error = 4.249933738265099e-13 relative error = 6.789236506892407e-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) = -0.7804638192770053 y2[1] (numeric) = -0.7804638192774559 absolute error = 4.50639525695351e-13 relative error = 5.773996366837453e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6252009491351961 y1[1] (numeric) = -0.6252009491347709 absolute error = 4.25215418431435e-13 relative error = 6.801259963210397e-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) = -0.7810886298900634 y2[1] (numeric) = -0.7810886298905138 absolute error = 4.503064587879635e-13 relative error = 5.765113478240532e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6244201728455476 y1[1] (numeric) = -0.6244201728451222 absolute error = 4.2543746303636e-13 relative error = 6.813320285563441e-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) = -0.7817126594145568 y2[1] (numeric) = -0.7817126594150069 absolute error = 4.500844141830385e-13 relative error = 5.757670785581462e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6236387721357782 y1[1] (numeric) = -0.6236387721353527 absolute error = 4.255484853388225e-13 relative error = 6.823637406017026e-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) = -0.7823359072264559 y2[1] (numeric) = -0.7823359072269057 absolute error = 4.498623695781134e-13 relative error = 5.750245711883141e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6228567477872888 y1[1] (numeric) = -0.6228567477868631 absolute error = 4.257705299437475e-13 relative error = 6.835769724841321e-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) = -0.7829583727025129 y2[1] (numeric) = -0.7829583727029625 absolute error = 4.496403249731884e-13 relative error = 5.742838197402232e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6220741005821034 y1[1] (numeric) = -0.6220741005816776 absolute error = 4.2588155224621e-13 relative error = 6.846154691984331e-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) = -0.7835800552202624 y2[1] (numeric) = -0.7835800552207118 absolute error = 4.494182803682634e-13 relative error = 5.735448182661221e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6212908313028693 y1[1] (numeric) = -0.6212908313024432 absolute error = 4.261035968511351e-13 relative error = 6.858359650303875e-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) = -0.784200954158022 y2[1] (numeric) = -0.7842009541584712 absolute error = 4.491962357633383e-13 relative error = 5.72807560844694e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6205069407328557 y1[1] (numeric) = -0.6205069407324294 absolute error = 4.263256414560601e-13 relative error = 6.870602300637348e-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) = -0.7848210688948929 y2[1] (numeric) = -0.7848210688953419 absolute error = 4.489741911584133e-13 relative error = 5.720720415809099e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6197224296559531 y1[1] (numeric) = -0.6197224296555266 absolute error = 4.265476860609851e-13 relative error = 6.882882814130006e-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) = -0.7854403988107602 y2[1] (numeric) = -0.785440398811209 absolute error = 4.487521465534883e-13 relative error = 5.713382546058828e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6189372988566725 y1[1] (numeric) = -0.6189372988562457 absolute error = 4.267697306659102e-13 relative error = 6.895201362953202e-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) = -0.7860589432862942 y2[1] (numeric) = -0.7860589432867428 absolute error = 4.485301019485632e-13 relative error = 5.706061940767233e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6181515491201445 y1[1] (numeric) = -0.6181515491197176 absolute error = 4.268807529683727e-13 relative error = 6.905762083359332e-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) = -0.7866767017029505 y2[1] (numeric) = -0.7866767017033988 absolute error = 4.483080573436382e-13 relative error = 5.698758541763953e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.617365181232119 y1[1] (numeric) = -0.6173651812316918 absolute error = 4.272138198757602e-13 relative error = 6.919953260453393e-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) = -0.7872936734429705 y2[1] (numeric) = -0.7872936734434186 absolute error = 4.480860127387132e-13 relative error = 5.691472291135734e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6165781959789637 y1[1] (numeric) = -0.6165781959785364 absolute error = 4.273248421782228e-13 relative error = 6.930586338683993e-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) = -0.7879098578893827 y2[1] (numeric) = -0.7879098578898306 absolute error = 4.478639681337881e-13 relative error = 5.684203131225009e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6157905941476637 y1[1] (numeric) = -0.6157905941472362 absolute error = 4.274358644806853e-13 relative error = 6.941253545327588e-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) = -0.7885252544260027 y2[1] (numeric) = -0.7885252544264504 absolute error = 4.476419235288631e-13 relative error = 5.676951004628489e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.615002376525821 y1[1] (numeric) = -0.6150023765253934 absolute error = 4.276579090856103e-13 relative error = 6.953760268398816e-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) = -0.7891398624374341 y2[1] (numeric) = -0.7891398624378815 absolute error = 4.474198789239381e-13 relative error = 5.66971585419576e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6142135439016529 y1[1] (numeric) = -0.6142135439012252 absolute error = 4.277689313880728e-13 relative error = 6.96449851416117e-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) = -0.7897536813090686 y2[1] (numeric) = -0.7897536813095158 absolute error = 4.471978343190131e-13 relative error = 5.662497623027894e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6134240970639921 y1[1] (numeric) = -0.6134240970635643 absolute error = 4.278799536905353e-13 relative error = 6.975271361827493e-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) = -0.7903667104270877 y2[1] (numeric) = -0.7903667104275347 absolute error = 4.46975789714088e-13 relative error = 5.655296254476068e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6126340368022855 y1[1] (numeric) = -0.6126340368018574 absolute error = 4.281019982954604e-13 relative error = 6.987891181005687e-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) = -0.7909789491784622 y2[1] (numeric) = -0.790978949178909 absolute error = 4.46753745109163e-13 relative error = 5.648111692140185e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.611843363906593 y1[1] (numeric) = -0.6118433639061647 absolute error = 4.283240429003854e-13 relative error = 7.000550601146594e-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) = -0.7915903969509536 y2[1] (numeric) = -0.7915903969514001 absolute error = 4.46531700504238e-13 relative error = 5.640943879867517e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6110520791675876 y1[1] (numeric) = -0.6110520791671591 absolute error = 4.285460875053104e-13 relative error = 7.013249804977376e-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) = -0.7922010531331138 y2[1] (numeric) = -0.7922010531335602 absolute error = 4.463096558993129e-13 relative error = 5.633792761751345e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6102601833765541 y1[1] (numeric) = -0.6102601833761253 absolute error = 4.287681321102355e-13 relative error = 7.025988976339112e-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) = -0.792810917114287 y2[1] (numeric) = -0.7928109171147331 absolute error = 4.460876112943879e-13 relative error = 5.626658282129615e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6094676773253879 y1[1] (numeric) = -0.609467677324959 absolute error = 4.28879154412698e-13 relative error = 7.036946672788429e-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) = -0.7934199882846091 y2[1] (numeric) = -0.793419988285055 absolute error = 4.458655666894629e-13 relative error = 5.619540385583601e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6086745618065953 y1[1] (numeric) = -0.6086745618061661 absolute error = 4.292122213200855e-13 relative error = 7.051587962640479e-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) = -0.7940282660350091 y2[1] (numeric) = -0.7940282660354547 absolute error = 4.456435220845378e-13 relative error = 5.612439016936573e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6078808376132915 y1[1] (numeric) = -0.6078808376128622 absolute error = 4.29323243622548e-13 relative error = 7.062621768243098e-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) = -0.7946357497572092 y2[1] (numeric) = -0.7946357497576546 absolute error = 4.454214774796128e-13 relative error = 5.605354121252481e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6070865055392007 y1[1] (numeric) = -0.6070865055387713 absolute error = 4.294342659250105e-13 relative error = 7.073691508652405e-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) = -0.7952424388437257 y2[1] (numeric) = -0.7952424388441709 absolute error = 4.451994328746878e-13 relative error = 5.598285643834642e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6062915663786551 y1[1] (numeric) = -0.6062915663782255 absolute error = 4.296563105299356e-13 relative error = 7.086628519282368e-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) = -0.7958483326878697 y2[1] (numeric) = -0.7958483326883147 absolute error = 4.449773882697627e-13 relative error = 5.591233530224434e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6054960209265936 y1[1] (numeric) = -0.6054960209261637 absolute error = 4.298783551348606e-13 relative error = 7.099606608099845e-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) = -0.7964534306837473 y2[1] (numeric) = -0.7964534306841921 absolute error = 4.447553436648377e-13 relative error = 5.584197726200008e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6046998699785616 y1[1] (numeric) = -0.6046998699781315 absolute error = 4.301003997397856e-13 relative error = 7.112625966912048e-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) = -0.7970577322262606 y2[1] (numeric) = -0.7970577322267052 absolute error = 4.445332990599127e-13 relative error = 5.577178177774996e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.60390311433071 y1[1] (numeric) = -0.6039031143302798 absolute error = 4.302114220422482e-13 relative error = 7.123848376225717e-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) = -0.7976612367111081 y2[1] (numeric) = -0.7976612367115524 absolute error = 4.443112544549876e-13 relative error = 5.570174831197238e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6031057547797944 y1[1] (numeric) = -0.603105754779364 absolute error = 4.304334666471732e-13 relative error = 7.136948424647892e-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) = -0.7982639435347854 y2[1] (numeric) = -0.7982639435352294 absolute error = 4.440892098500626e-13 relative error = 5.563187632947509e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6023077921231743 y1[1] (numeric) = -0.6023077921227438 absolute error = 4.305444889496357e-13 relative error = 7.148247035488919e-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) = -0.7988658520945856 y2[1] (numeric) = -0.7988658520950295 absolute error = 4.438671652451376e-13 relative error = 5.556216529738259e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6015092271588123 y1[1] (numeric) = -0.6015092271583815 absolute error = 4.307665335545607e-13 relative error = 7.161428521874171e-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) = -0.7994669617886003 y2[1] (numeric) = -0.799466961789044 absolute error = 4.436451206402126e-13 relative error = 5.549261468512363e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.6007100606852732 y1[1] (numeric) = -0.6007100606848422 absolute error = 4.309885781594858e-13 relative error = 7.1746522385163e-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) = -0.8000672720157199 y2[1] (numeric) = -0.8000672720161633 absolute error = 4.434230760352875e-13 relative error = 5.542322396441871e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5999102935017235 y1[1] (numeric) = -0.5999102935012923 absolute error = 4.312106227644108e-13 relative error = 7.187918384387114e-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) = -0.8006667821756341 y2[1] (numeric) = -0.8006667821760773 absolute error = 4.432010314303625e-13 relative error = 5.535399260926776e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5991099264079304 y1[1] (numeric) = -0.5991099264074989 absolute error = 4.314326673693358e-13 relative error = 7.201227159697833e-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) = -0.8012654916688329 y2[1] (numeric) = -0.8012654916692759 absolute error = 4.429789868254375e-13 relative error = 5.528492009593781e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5983089602042606 y1[1] (numeric) = -0.5983089602038291 absolute error = 4.315436896717983e-13 relative error = 7.21272316437432e-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) = -0.8018633998966067 y2[1] (numeric) = -0.8018633998970495 absolute error = 4.427569422205124e-13 relative error = 5.521600590295081e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5975073956916807 y1[1] (numeric) = -0.5975073956912489 absolute error = 4.317657342767234e-13 relative error = 7.226115314889232e-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) = -0.8024605062610475 y2[1] (numeric) = -0.80246050626149 absolute error = 4.425348976155874e-13 relative error = 5.51472495110715e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5967052336717547 y1[1] (numeric) = -0.5967052336713228 absolute error = 4.318767565791859e-13 relative error = 7.237690105744233e-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) = -0.8030568101650489 y2[1] (numeric) = -0.8030568101654912 absolute error = 4.423128530106624e-13 relative error = 5.507865040329533e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5959024749466448 y1[1] (numeric) = -0.5959024749462127 absolute error = 4.320988011841109e-13 relative error = 7.251166413141675e-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) = -0.8036523110123071 y2[1] (numeric) = -0.8036523110127491 absolute error = 4.420908084057373e-13 relative error = 5.501020806483654e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5950991203191096 y1[1] (numeric) = -0.5950991203186774 absolute error = 4.322098234865734e-13 relative error = 7.262820742447239e-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) = -0.8042470082073211 y2[1] (numeric) = -0.8042470082077631 absolute error = 4.419797861032748e-13 relative error = 5.495572648612701e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5942951705925038 y1[1] (numeric) = -0.5942951705920714 absolute error = 4.324318680914985e-13 relative error = 7.276381998197462e-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) = -0.8048409011553941 y2[1] (numeric) = -0.8048409011558357 absolute error = 4.416467191958873e-13 relative error = 5.487379164775035e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5934906265707768 y1[1] (numeric) = -0.5934906265703442 absolute error = 4.32542890393961e-13 relative error = 7.28811662777589e-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) = -0.8054339892626329 y2[1] (numeric) = -0.8054339892630743 absolute error = 4.414246745909622e-13 relative error = 5.480581655053846e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5926854890584727 y1[1] (numeric) = -0.59268548905804 absolute error = 4.32764934998886e-13 relative error = 7.301763633295072e-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) = -0.8060262719359496 y2[1] (numeric) = -0.8060262719363908 absolute error = 4.412026299860372e-13 relative error = 5.473799618545152e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.591879758860729 y1[1] (numeric) = -0.5918797588602961 absolute error = 4.328759573013485e-13 relative error = 7.313579334670329e-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) = -0.8066177485830615 y2[1] (numeric) = -0.8066177485835024 absolute error = 4.409805853811122e-13 relative error = 5.467033004862057e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5910734367832757 y1[1] (numeric) = -0.5910734367828426 absolute error = 4.330980019062736e-13 relative error = 7.327312901477489e-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) = -0.807208418612492 y2[1] (numeric) = -0.8072084186129328 absolute error = 4.407585407761871e-13 relative error = 5.460281763832513e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5902665236324349 y1[1] (numeric) = -0.5902665236320016 absolute error = 4.333200465111986e-13 relative error = 7.341091340308356e-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) = -0.8077982814335712 y2[1] (numeric) = -0.8077982814340118 absolute error = 4.405364961712621e-13 relative error = 5.453545845498179e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5894590202151196 y1[1] (numeric) = -0.5894590202146862 absolute error = 4.334310688136611e-13 relative error = 7.353031405906436e-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) = -0.8083873364564363 y2[1] (numeric) = -0.8083873364568767 absolute error = 4.403144515663371e-13 relative error = 5.44682520011328e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5886509273388333 y1[1] (numeric) = -0.5886509273383997 absolute error = 4.335420911161236e-13 relative error = 7.3650116050284e-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) = -0.8089755830920323 y2[1] (numeric) = -0.8089755830924724 absolute error = 4.400924069614121e-13 relative error = 5.440119778143482e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5878422458116687 y1[1] (numeric) = -0.5878422458112349 absolute error = 4.337641357210487e-13 relative error = 7.378920770182564e-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) = -0.8095630207521127 y2[1] (numeric) = -0.8095630207525525 absolute error = 4.397593400540245e-13 relative error = 5.432058144719512e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5870329764423072 y1[1] (numeric) = -0.5870329764418732 absolute error = 4.339861803259737e-13 relative error = 7.392875660173841e-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) = -0.8101496488492397 y2[1] (numeric) = -0.8101496488496793 absolute error = 4.39648317751562e-13 relative error = 5.426754407362286e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5862231200400182 y1[1] (numeric) = -0.5862231200395841 absolute error = 4.340972026284362e-13 relative error = 7.404982638671822e-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) = -0.8107354667967854 y2[1] (numeric) = -0.8107354667972249 absolute error = 4.39426273146637e-13 relative error = 5.420094360529329e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5854126774146581 y1[1] (numeric) = -0.5854126774142238 absolute error = 4.343192472333612e-13 relative error = 7.41902702127042e-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) = -0.8113204740089318 y2[1] (numeric) = -0.8113204740093711 absolute error = 4.393152508441744e-13 relative error = 5.414817755965296e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5846016493766693 y1[1] (numeric) = -0.5846016493762348 absolute error = 4.344302695358238e-13 relative error = 7.431218676838056e-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) = -0.8119046699006719 y2[1] (numeric) = -0.811904669901111 absolute error = 4.390932062392494e-13 relative error = 5.40818673075212e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5837900367370797 y1[1] (numeric) = -0.5837900367366452 absolute error = 4.345412918382863e-13 relative error = 7.443451660583746e-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) = -0.8124880538878098 y2[1] (numeric) = -0.8124880538882486 absolute error = 4.388711616343244e-13 relative error = 5.4015706389072e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5829778403075022 y1[1] (numeric) = -0.5829778403070675 absolute error = 4.347633364432113e-13 relative error = 7.45763057158206e-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) = -0.8130706253869614 y2[1] (numeric) = -0.8130706253874 absolute error = 4.386491170293993e-13 relative error = 5.394969432337257e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.582165060900133 y1[1] (numeric) = -0.582165060899698 absolute error = 4.349853810481363e-13 relative error = 7.471856527692848e-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) = -0.8136523838155554 y2[1] (numeric) = -0.8136523838159938 absolute error = 4.384270724244743e-13 relative error = 5.388383063151698e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5813516993277513 y1[1] (numeric) = -0.5813516993273161 absolute error = 4.352074256530614e-13 relative error = 7.48612975856638e-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) = -0.8142333285918334 y2[1] (numeric) = -0.8142333285922716 absolute error = 4.382050278195493e-13 relative error = 5.381811483661545e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5805377564037187 y1[1] (numeric) = -0.5805377564032834 absolute error = 4.353184479555239e-13 relative error = 7.498538090824774e-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) = -0.8148134591348506 y2[1] (numeric) = -0.8148134591352887 absolute error = 4.380940055170868e-13 relative error = 5.376617195084682e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5797232329419781 y1[1] (numeric) = -0.5797232329415427 absolute error = 4.354294702579864e-13 relative error = 7.510988787671488e-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) = -0.8153927748644767 y2[1] (numeric) = -0.8153927748649145 absolute error = 4.377609386096992e-13 relative error = 5.368712504013269e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.578908129757053 y1[1] (numeric) = -0.5789081297566173 absolute error = 4.356515148629114e-13 relative error = 7.525399842730466e-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) = -0.8159712752013958 y2[1] (numeric) = -0.8159712752018333 absolute error = 4.375388940047742e-13 relative error = 5.362185009475757e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5780924476640462 y1[1] (numeric) = -0.5780924476636105 absolute error = 4.357625371653739e-13 relative error = 7.537938593147196e-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) = -0.8165489595671077 y2[1] (numeric) = -0.816548959567545 absolute error = 4.373168493998492e-13 relative error = 5.355672115872783e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5772761874786401 y1[1] (numeric) = -0.5772761874782041 absolute error = 4.35984581770299e-13 relative error = 7.552443548287377e-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) = -0.817125827383928 y2[1] (numeric) = -0.8171258273843652 absolute error = 4.372058270973866e-13 relative error = 5.350532469364289e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5764593500170945 y1[1] (numeric) = -0.5764593500166584 absolute error = 4.360956040727615e-13 relative error = 7.565071224186569e-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) = -0.8177018780749892 y2[1] (numeric) = -0.8177018780754262 absolute error = 4.369837824924616e-13 relative error = 5.34404768057029e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5756419360962469 y1[1] (numeric) = -0.5756419360958106 absolute error = 4.363176486776865e-13 relative error = 7.579670995421267e-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) = -0.8182771110642403 y2[1] (numeric) = -0.8182771110646772 absolute error = 4.368727601899991e-13 relative error = 5.338934137138557e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5748239465335112 y1[1] (numeric) = -0.5748239465330748 absolute error = 4.36428670980149e-13 relative error = 7.592388480195406e-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) = -0.8188515257764486 y2[1] (numeric) = -0.8188515257768852 absolute error = 4.366507155850741e-13 relative error = 5.332477278723205e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5740053821468769 y1[1] (numeric) = -0.5740053821464403 absolute error = 4.366507155850741e-13 relative error = 7.607083995483226e-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) = -0.8194251216371993 y2[1] (numeric) = -0.8194251216376358 absolute error = 4.365396932826116e-13 relative error = 5.327389675464326e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5731862437549082 y1[1] (numeric) = -0.5731862437544715 absolute error = 4.367617378875366e-13 relative error = 7.619892184193693e-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) = -0.8199978980728967 y2[1] (numeric) = -0.819997898073333 absolute error = 4.363176486776865e-13 relative error = 5.320960574448918e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5723665321767436 y1[1] (numeric) = -0.5723665321763067 absolute error = 4.368727601899991e-13 relative error = 7.632744677235867e-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) = -0.8205698545107644 y2[1] (numeric) = -0.8205698545112005 absolute error = 4.360956040727615e-13 relative error = 5.314545759577873e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5715462482320945 y1[1] (numeric) = -0.5715462482316574 absolute error = 4.370948047949241e-13 relative error = 7.647584183203804e-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) = -0.8211409903788459 y2[1] (numeric) = -0.8211409903792818 absolute error = 4.358735594678365e-13 relative error = 5.308145185478313e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5707253927412449 y1[1] (numeric) = -0.5707253927408076 absolute error = 4.373168493998492e-13 relative error = 7.662474019236771e-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) = -0.8217113051060054 y2[1] (numeric) = -0.8217113051064412 absolute error = 4.357625371653739e-13 relative error = 5.303109917772862e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5699039665250499 y1[1] (numeric) = -0.5699039665246125 absolute error = 4.374278717023117e-13 relative error = 7.675466348646385e-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) = -0.8222807981219283 y2[1] (numeric) = -0.8222807981223639 absolute error = 4.355404925604489e-13 relative error = 5.296736754101689e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.569081970404936 y1[1] (numeric) = -0.5690819704044984 absolute error = 4.376499163072367e-13 relative error = 7.690454786255528e-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) = -0.8228494688571217 y2[1] (numeric) = -0.8228494688575571 absolute error = 4.353184479555239e-13 relative error = 5.290377698853591e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5682594052028991 y1[1] (numeric) = -0.5682594052024613 absolute error = 4.377609386096992e-13 relative error = 7.703540576744086e-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) = -0.8234173167429147 y2[1] (numeric) = -0.8234173167433499 absolute error = 4.352074256530614e-13 relative error = 5.285381018880621e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5674362717415043 y1[1] (numeric) = -0.5674362717410664 absolute error = 4.379829832146243e-13 relative error = 7.718628593664303e-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) = -0.8239843412114597 y2[1] (numeric) = -0.8239843412118947 absolute error = 4.349853810481363e-13 relative error = 5.279049118926226e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5666125708438852 y1[1] (numeric) = -0.566612570843447 absolute error = 4.382050278195493e-13 relative error = 7.733768193086646e-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) = -0.8245505416957321 y2[1] (numeric) = -0.8245505416961668 absolute error = 4.347633364432113e-13 relative error = 5.272731196672279e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5657883033337423 y1[1] (numeric) = -0.565788303333304 absolute error = 4.383160501220118e-13 relative error = 7.746997375862359e-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) = -0.8251159176295314 y2[1] (numeric) = -0.8251159176299661 absolute error = 4.346523141407488e-13 relative error = 5.267772743852255e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5649634700353433 y1[1] (numeric) = -0.5649634700349048 absolute error = 4.385380947269368e-13 relative error = 7.762238055842841e-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) = -0.825680468447482 y2[1] (numeric) = -0.8256804684479164 absolute error = 4.344302695358238e-13 relative error = 5.261481724918094e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5641380717735214 y1[1] (numeric) = -0.5641380717730826 absolute error = 4.387601393318619e-13 relative error = 7.777531091856646e-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) = -0.8262441935850329 y2[1] (numeric) = -0.8262441935854671 absolute error = 4.342082249308987e-13 relative error = 5.255204554562624e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5633121093736746 y1[1] (numeric) = -0.5633121093732357 absolute error = 4.388711616343244e-13 relative error = 7.790905864287004e-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) = -0.826807092478459 y2[1] (numeric) = -0.8268070924788931 absolute error = 4.340972026284362e-13 relative error = 5.250283972857258e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5624855836617655 y1[1] (numeric) = -0.5624855836613264 absolute error = 4.390932062392494e-13 relative error = 7.806301512311922e-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) = -0.8273691645648615 y2[1] (numeric) = -0.8273691645652954 absolute error = 4.338751580235112e-13 relative error = 5.24403345695992e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5616584954643196 y1[1] (numeric) = -0.5616584954638802 absolute error = 4.393152508441744e-13 relative error = 7.821750305423499e-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) = -0.8279304092821685 y2[1] (numeric) = -0.8279304092826022 absolute error = 4.336531134185861e-13 relative error = 5.237796662095932e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5608308456084249 y1[1] (numeric) = -0.5608308456079855 absolute error = 4.39426273146637e-13 relative error = 7.835272909604668e-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) = -0.8284908260691352 y2[1] (numeric) = -0.8284908260695687 absolute error = 4.335420911161236e-13 relative error = 5.23291359993823e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5600026349217314 y1[1] (numeric) = -0.5600026349212918 absolute error = 4.39648317751562e-13 relative error = 7.850825877149833e-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) = -0.8290504143653448 y2[1] (numeric) = -0.8290504143657781 absolute error = 4.333200465111986e-13 relative error = 5.226703213735368e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5591738642324496 y1[1] (numeric) = -0.5591738642320099 absolute error = 4.397593400540245e-13 relative error = 7.864447324584107e-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) = -0.8296091736112092 y2[1] (numeric) = -0.8296091736116422 absolute error = 4.329869796038111e-13 relative error = 5.2191681743231e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5583445343693503 y1[1] (numeric) = -0.5583445343689103 absolute error = 4.399813846589495e-13 relative error = 7.880105518645546e-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) = -0.8301671032479691 y2[1] (numeric) = -0.8301671032484019 absolute error = 4.328759573013485e-13 relative error = 5.214323183943961e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5575146461617631 y1[1] (numeric) = -0.557514646161323 absolute error = 4.400924069614121e-13 relative error = 7.893826825739016e-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) = -0.8307242027176949 y2[1] (numeric) = -0.8307242027181275 absolute error = 4.326539126964235e-13 relative error = 5.208153455515156e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5566842004395761 y1[1] (numeric) = -0.5566842004391359 absolute error = 4.402034292638746e-13 relative error = 7.907596962807198e-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) = -0.8312804714632872 y2[1] (numeric) = -0.8312804714637196 absolute error = 4.324318680914985e-13 relative error = 5.201997195125935e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5558531980332352 y1[1] (numeric) = -0.5558531980327948 absolute error = 4.404254738687996e-13 relative error = 7.923413509666737e-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) = -0.8318359089284774 y2[1] (numeric) = -0.8318359089289096 absolute error = 4.322098234865734e-13 relative error = 5.195854360787586e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5550216397737425 y1[1] (numeric) = -0.5550216397733019 absolute error = 4.406475184737246e-13 relative error = 7.939285370086775e-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) = -0.8323905145578279 y2[1] (numeric) = -0.8323905145582599 absolute error = 4.319877788816484e-13 relative error = 5.189724910682381e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5541895264926563 y1[1] (numeric) = -0.5541895264922155 absolute error = 4.407585407761871e-13 relative error = 7.953209501551772e-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) = -0.8329442877967331 y2[1] (numeric) = -0.832944287797165 absolute error = 4.318767565791859e-13 relative error = 5.18494169305809e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5533568590220898 y1[1] (numeric) = -0.5533568590216489 absolute error = 4.408695630786497e-13 relative error = 7.967183489109879e-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) = -0.8334972280914201 y2[1] (numeric) = -0.8334972280918518 absolute error = 4.316547119742609e-13 relative error = 5.17883800240924e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5525236381947104 y1[1] (numeric) = -0.5525236381942693 absolute error = 4.410916076835747e-13 relative error = 7.983216955654179e-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) = -0.8340493348889484 y2[1] (numeric) = -0.8340493348893799 absolute error = 4.315436896717983e-13 relative error = 5.174078697985621e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5516898648437387 y1[1] (numeric) = -0.5516898648432976 absolute error = 4.410916076835747e-13 relative error = 7.995282055952034e-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) = -0.8346006076372113 y2[1] (numeric) = -0.8346006076376427 absolute error = 4.313216450668733e-13 relative error = 5.168000611549549e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5508555398029483 y1[1] (numeric) = -0.550855539802507 absolute error = 4.413136522884997e-13 relative error = 8.011422603580717e-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) = -0.8351510457849362 y2[1] (numeric) = -0.8351510457853673 absolute error = 4.310996004619483e-13 relative error = 5.161935707770914e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5500206639066639 y1[1] (numeric) = -0.5500206639062225 absolute error = 4.414246745909622e-13 relative error = 8.025601646593228e-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) = -0.8357006487816848 y2[1] (numeric) = -0.8357006487821157 absolute error = 4.308775558570233e-13 relative error = 5.155883945826444e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5491852379897616 y1[1] (numeric) = -0.54918523798932 absolute error = 4.416467191958873e-13 relative error = 8.041853433870355e-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) = -0.8362494160778543 y2[1] (numeric) = -0.8362494160782851 absolute error = 4.307665335545607e-13 relative error = 5.151172906941159e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5483492628876669 y1[1] (numeric) = -0.5483492628872252 absolute error = 4.417577414983498e-13 relative error = 8.056138147647093e-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) = -0.8367973471246775 y2[1] (numeric) = -0.836797347125108 absolute error = 4.305444889496357e-13 relative error = 5.145146437533906e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5475127394363551 y1[1] (numeric) = -0.5475127394359132 absolute error = 4.419797861032748e-13 relative error = 8.072502323110824e-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) = -0.8373444413742231 y2[1] (numeric) = -0.8373444413746536 absolute error = 4.304334666471732e-13 relative error = 5.140458876645308e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5466756684723495 y1[1] (numeric) = -0.5466756684719074 absolute error = 4.420908084057373e-13 relative error = 8.086893818434102e-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) = -0.8378906982793973 y2[1] (numeric) = -0.8378906982798275 absolute error = 4.302114220422482e-13 relative error = 5.134457548289822e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5458380508327209 y1[1] (numeric) = -0.5458380508322787 absolute error = 4.422018307081999e-13 relative error = 8.101337567683025e-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) = -0.838436117293943 y2[1] (numeric) = -0.8384361172943731 absolute error = 4.301003997397856e-13 relative error = 5.129793324361276e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.544999887355087 y1[1] (numeric) = -0.5449998873546446 absolute error = 4.424238753131249e-13 relative error = 8.117870949666268e-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) = -0.8389806978724412 y2[1] (numeric) = -0.8389806978728711 absolute error = 4.298783551348606e-13 relative error = 5.123816986791029e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5441611788776112 y1[1] (numeric) = -0.5441611788771685 absolute error = 4.426459199180499e-13 relative error = 8.134463410841858e-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) = -0.8395244394703115 y2[1] (numeric) = -0.8395244394707412 absolute error = 4.296563105299356e-13 relative error = 5.117853517177205e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5433219262390018 y1[1] (numeric) = -0.543321926238559 absolute error = 4.427569422205124e-13 relative error = 8.149071863993726e-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) = -0.8400673415438122 y2[1] (numeric) = -0.8400673415442418 absolute error = 4.295452882274731e-13 relative error = 5.113224464101738e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5424821302785114 y1[1] (numeric) = -0.5424821302780686 absolute error = 4.428679645229749e-13 relative error = 8.163733693782791e-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) = -0.8406094035500415 y2[1] (numeric) = -0.8406094035504709 absolute error = 4.29323243622548e-13 relative error = 5.107285759705285e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.541641791835936 y1[1] (numeric) = -0.541641791835493 absolute error = 4.429789868254375e-13 relative error = 8.178449179926212e-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) = -0.8411506249469373 y2[1] (numeric) = -0.8411506249473665 absolute error = 4.292122213200855e-13 relative error = 5.102679693629922e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5408009117516139 y1[1] (numeric) = -0.5408009117511707 absolute error = 4.432010314303625e-13 relative error = 8.195271527832069e-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) = -0.8416910051932781 y2[1] (numeric) = -0.8416910051937072 absolute error = 4.29101199017623e-13 relative error = 5.098084645909792e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5399594908664251 y1[1] (numeric) = -0.5399594908659818 absolute error = 4.43312053732825e-13 relative error = 8.210098372777585e-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) = -0.842230543748684 y2[1] (numeric) = -0.8422305437491129 absolute error = 4.28879154412698e-13 relative error = 5.092182391103981e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5391175300217904 y1[1] (numeric) = -0.539117530021347 absolute error = 4.434230760352875e-13 relative error = 8.224979737115299e-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) = -0.8427692400736163 y2[1] (numeric) = -0.842769240074045 absolute error = 4.286571098077729e-13 relative error = 5.086292776541411e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5382750300596707 y1[1] (numeric) = -0.5382750300592271 absolute error = 4.436451206402126e-13 relative error = 8.241978465748858e-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) = -0.8433070936293787 y2[1] (numeric) = -0.8433070936298072 absolute error = 4.284350652028479e-13 relative error = 5.080415763597726e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5374319918225657 y1[1] (numeric) = -0.537431991822122 absolute error = 4.437561429426751e-13 relative error = 8.256972969506104e-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) = -0.8438441038781178 y2[1] (numeric) = -0.843844103878546 absolute error = 4.282130205979229e-13 relative error = 5.074551313802539e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5365884161535137 y1[1] (numeric) = -0.5365884161530698 absolute error = 4.438671652451376e-13 relative error = 8.272022874197693e-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) = -0.8443802702828233 y2[1] (numeric) = -0.8443802702832514 absolute error = 4.281019982954604e-13 relative error = 5.070014226553026e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5357443038960903 y1[1] (numeric) = -0.5357443038956463 absolute error = 4.439781875476001e-13 relative error = 8.287128473767431e-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) = -0.8449155923073289 y2[1] (numeric) = -0.8449155923077568 absolute error = 4.278799536905353e-13 relative error = 5.064173955200233e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5348996558944076 y1[1] (numeric) = -0.5348996558939635 absolute error = 4.440892098500626e-13 relative error = 8.302290064245779e-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) = -0.8454500694163126 y2[1] (numeric) = -0.8454500694167403 absolute error = 4.276579090856103e-13 relative error = 5.058346134868255e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5340544729931136 y1[1] (numeric) = -0.5340544729926693 absolute error = 4.443112544549876e-13 relative error = 8.319586801039991e-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) = -0.8459837010752973 y2[1] (numeric) = -0.8459837010757248 absolute error = 4.275468867831478e-13 relative error = 5.053843073332375e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.533208756037391 y1[1] (numeric) = -0.5332087560369466 absolute error = 4.444222767574502e-13 relative error = 8.334864567120598e-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) = -0.8465164867506515 y2[1] (numeric) = -0.8465164867510788 absolute error = 4.273248421782228e-13 relative error = 5.048039215615358e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.532362505872957 y1[1] (numeric) = -0.5323625058725123 absolute error = 4.446443213623752e-13 relative error = 8.352284701817171e-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) = -0.8470484259095894 y2[1] (numeric) = -0.8470484259100166 absolute error = 4.272138198757602e-13 relative error = 5.043558394161508e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5315157233460613 y1[1] (numeric) = -0.5315157233456166 absolute error = 4.447553436648377e-13 relative error = 8.367679903521211e-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) = -0.8475795180201721 y2[1] (numeric) = -0.8475795180205991 absolute error = 4.269917752708352e-13 relative error = 5.037778358167841e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5306684093034867 y1[1] (numeric) = -0.5306684093030418 absolute error = 4.448663659673002e-13 relative error = 8.383132633638331e-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) = -0.8481097625513073 y2[1] (numeric) = -0.8481097625517341 absolute error = 4.267697306659102e-13 relative error = 5.032010590021858e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5298205645925469 y1[1] (numeric) = -0.5298205645921019 absolute error = 4.449773882697627e-13 relative error = 8.398643201249995e-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) = -0.8486391589727507 y2[1] (numeric) = -0.8486391589731773 absolute error = 4.266587083634477e-13 relative error = 5.027563291798882e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5289721900610868 y1[1] (numeric) = -0.5289721900606416 absolute error = 4.451994328746878e-13 relative error = 8.416310748269683e-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) = -0.8491677067551058 y2[1] (numeric) = -0.8491677067555322 absolute error = 4.264366637585226e-13 relative error = 5.021819133796901e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5281232865574805 y1[1] (numeric) = -0.5281232865570352 absolute error = 4.453104551771503e-13 relative error = 8.431941300673608e-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) = -0.8496954053698249 y2[1] (numeric) = -0.8496954053702511 absolute error = 4.262146191535976e-13 relative error = 5.016087134990335e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5272738549306318 y1[1] (numeric) = -0.5272738549301864 absolute error = 4.454214774796128e-13 relative error = 8.447630644197453e-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) = -0.8502222542892094 y2[1] (numeric) = -0.8502222542896355 absolute error = 4.261035968511351e-13 relative error = 5.011673061973191e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5264238960299721 y1[1] (numeric) = -0.5264238960295266 absolute error = 4.455324997820753e-13 relative error = 8.463379096998834e-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) = -0.8507482529864105 y2[1] (numeric) = -0.8507482529868364 absolute error = 4.2588155224621e-13 relative error = 5.005964464237494e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5255734107054603 y1[1] (numeric) = -0.5255734107050145 absolute error = 4.457545443870004e-13 relative error = 8.481299382871717e-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) = -0.8512734009354296 y2[1] (numeric) = -0.8512734009358552 absolute error = 4.25659507641285e-13 relative error = 5.00026791831561e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5247223998075815 y1[1] (numeric) = -0.5247223998071356 absolute error = 4.458655666894629e-13 relative error = 8.497170443894983e-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) = -0.8517976976111186 y2[1] (numeric) = -0.8517976976115441 absolute error = 4.255484853388225e-13 relative error = 4.995886776077003e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5238708641873466 y1[1] (numeric) = -0.5238708641869007 absolute error = 4.459765889919254e-13 relative error = 8.513101595824488e-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) = -0.852321142489181 y2[1] (numeric) = -0.8523211424896063 absolute error = 4.253264407338975e-13 relative error = 4.990213424622356e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5230188046962913 y1[1] (numeric) = -0.5230188046958452 absolute error = 4.460876112943879e-13 relative error = 8.529093166228009e-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) = -0.8528437350461719 y2[1] (numeric) = -0.8528437350465971 absolute error = 4.251043961289724e-13 relative error = 4.984552018852056e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5221662221864747 y1[1] (numeric) = -0.5221662221860285 absolute error = 4.461986335968504e-13 relative error = 8.545145485061749e-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) = -0.8533654747594989 y2[1] (numeric) = -0.8533654747599239 absolute error = 4.249933738265099e-13 relative error = 4.980203516509552e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5213131175104795 y1[1] (numeric) = -0.5213131175100332 absolute error = 4.463096558993129e-13 relative error = 8.5612588846921e-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) = -0.8538863611074222 y2[1] (numeric) = -0.853886361107847 absolute error = 4.247713292215849e-13 relative error = 4.974565101036284e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5204594915214102 y1[1] (numeric) = -0.5204594915209638 absolute error = 4.464206782017754e-13 relative error = 8.577433699917661e-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) = -0.8544063935690556 y2[1] (numeric) = -0.8544063935694802 absolute error = 4.246603069191224e-13 relative error = 4.970237934962271e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5196053450728929 y1[1] (numeric) = -0.5196053450724463 absolute error = 4.466427228067005e-13 relative error = 8.595806933896016e-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) = -0.8549255716243666 y2[1] (numeric) = -0.8549255716247911 absolute error = 4.245492846166599e-13 relative error = 4.965920996023224e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5187506790190737 y1[1] (numeric) = -0.5187506790186269 absolute error = 4.46753745109163e-13 relative error = 8.612109114805352e-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) = -0.8554438947541771 y2[1] (numeric) = -0.8554438947546016 absolute error = 4.244382623141973e-13 relative error = 4.96161425567442e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5178954942146188 y1[1] (numeric) = -0.5178954942141718 absolute error = 4.46975789714088e-13 relative error = 8.63061746447361e-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) = -0.8559613624401643 y2[1] (numeric) = -0.8559613624405885 absolute error = 4.242162177092723e-13 relative error = 4.956020637425991e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5170397915147127 y1[1] (numeric) = -0.5170397915142656 absolute error = 4.470868120165505e-13 relative error = 8.647048435223353e-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) = -0.8564779741648604 y2[1] (numeric) = -0.8564779741652844 absolute error = 4.239941731043473e-13 relative error = 4.950438725733467e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5161835717750582 y1[1] (numeric) = -0.516183571774611 absolute error = 4.471978343190131e-13 relative error = 8.66354256066662e-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) = -0.8569937294116536 y2[1] (numeric) = -0.8569937294120774 absolute error = 4.237721284994223e-13 relative error = 4.944868485681357e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5153268358518751 y1[1] (numeric) = -0.5153268358514277 absolute error = 4.474198789239381e-13 relative error = 8.682254596431377e-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) = -0.8575086276647889 y2[1] (numeric) = -0.8575086276652125 absolute error = 4.236611061969597e-13 relative error = 4.940604590191649e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.514469584601899 y1[1] (numeric) = -0.5144695846014514 absolute error = 4.475309012264006e-13 relative error = 8.698879673765436e-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) = -0.8580226684093679 y2[1] (numeric) = -0.8580226684097914 absolute error = 4.234390615920347e-13 relative error = 4.935056813557393e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5136118188823812 y1[1] (numeric) = -0.5136118188819334 absolute error = 4.477529458313256e-13 relative error = 8.717730577260383e-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) = -0.85853585113135 y2[1] (numeric) = -0.8585358511317733 absolute error = 4.233280392895722e-13 relative error = 4.930813765455741e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5127535395510872 y1[1] (numeric) = -0.5127535395506394 absolute error = 4.477529458313256e-13 relative error = 8.732322866524351e-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) = -0.8590481753175526 y2[1] (numeric) = -0.8590481753179757 absolute error = 4.231059946846472e-13 relative error = 4.925288323070395e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5118947474662965 y1[1] (numeric) = -0.5118947474658485 absolute error = 4.479749904362507e-13 relative error = 8.751310550724993e-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) = -0.8595596404556514 y2[1] (numeric) = -0.8595596404560744 absolute error = 4.229949723821846e-13 relative error = 4.921066002563308e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5110354434868009 y1[1] (numeric) = -0.5110354434863528 absolute error = 4.480860127387132e-13 relative error = 8.768198340244603e-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) = -0.8600702460341814 y2[1] (numeric) = -0.8600702460346041 absolute error = 4.227729277772596e-13 relative error = 4.915562766258717e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5101756284719045 y1[1] (numeric) = -0.5101756284714561 absolute error = 4.483080573436382e-13 relative error = 8.78732797735607e-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) = -0.8605799915425371 y2[1] (numeric) = -0.8605799915429596 absolute error = 4.225508831723346e-13 relative error = 4.910070967545247e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.509315303281422 y1[1] (numeric) = -0.5093153032809736 absolute error = 4.484190796461007e-13 relative error = 8.804351189862577e-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) = -0.8610888764709729 y2[1] (numeric) = -0.8610888764713952 absolute error = 4.223288385674095e-13 relative error = 4.904590572558002e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5084544687756788 y1[1] (numeric) = -0.5084544687752303 absolute error = 4.485301019485632e-13 relative error = 8.821440846583392e-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) = -0.8615969003106039 y2[1] (numeric) = -0.8615969003110261 absolute error = 4.22217816264947e-13 relative error = 4.900410111883392e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5075931258155091 y1[1] (numeric) = -0.5075931258150604 absolute error = 4.486411242510258e-13 relative error = 8.83859732202303e-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) = -0.8621040625534064 y2[1] (numeric) = -0.8621040625538285 absolute error = 4.221067939624845e-13 relative error = 4.896239471512007e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5067312752622559 y1[1] (numeric) = -0.5067312752618072 absolute error = 4.487521465534883e-13 relative error = 8.855820993508623e-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) = -0.8626103626922184 y2[1] (numeric) = -0.8626103626926402 absolute error = 4.218847493575595e-13 relative error = 4.89079157408742e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5058689179777698 y1[1] (numeric) = -0.5058689179773208 absolute error = 4.489741911584133e-13 relative error = 8.87530692641099e-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) = -0.8631158002207394 y2[1] (numeric) = -0.8631158002211611 absolute error = 4.216627047526345e-13 relative error = 4.885354950573207e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5050060548244077 y1[1] (numeric) = -0.5050060548239587 absolute error = 4.490852134608758e-13 relative error = 8.892669883275443e-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) = -0.8636203746335321 y2[1] (numeric) = -0.8636203746339537 absolute error = 4.215516824501719e-13 relative error = 4.881215112937242e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5041426866650329 y1[1] (numeric) = -0.5041426866645837 absolute error = 4.491962357633383e-13 relative error = 8.91010120041268e-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) = -0.8641240854260223 y2[1] (numeric) = -0.8641240854264436 absolute error = 4.213296378452469e-13 relative error = 4.875800188320488e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5032788143630135 y1[1] (numeric) = -0.5032788143625642 absolute error = 4.493072580658009e-13 relative error = 8.927601266794372e-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) = -0.8646269320944989 y2[1] (numeric) = -0.8646269320949201 absolute error = 4.212186155427844e-13 relative error = 4.871680489091537e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5024144387822217 y1[1] (numeric) = -0.5024144387817722 absolute error = 4.495293026707259e-13 relative error = 8.94738024966636e-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) = -0.8651289141361156 y2[1] (numeric) = -0.8651289141365366 absolute error = 4.209965709378594e-13 relative error = 4.866287140087675e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5015495607870329 y1[1] (numeric) = -0.5015495607865833 absolute error = 4.496403249731884e-13 relative error = 8.96502280388027e-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) = -0.8656300310488901 y2[1] (numeric) = -0.865630031049311 absolute error = 4.208855486353968e-13 relative error = 4.862187465069884e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.5006841812423252 y1[1] (numeric) = -0.5006841812418754 absolute error = 4.497513472756509e-13 relative error = 8.98273530750868e-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) = -0.8661302823317059 y2[1] (numeric) = -0.8661302823321265 absolute error = 4.206635040304718e-13 relative error = 4.856815569339121e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4998183010134779 y1[1] (numeric) = -0.499818301013028 absolute error = 4.498623695781134e-13 relative error = 9.000518161618549e-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) = -0.8666296674843114 y2[1] (numeric) = -0.8666296674847319 absolute error = 4.205524817280093e-13 relative error = 4.852735805235085e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4989519209663713 y1[1] (numeric) = -0.4989519209659212 absolute error = 4.500289030318072e-13 relative error = 9.019484325467476e-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) = -0.8671281860073216 y2[1] (numeric) = -0.867128186007742 absolute error = 4.204414594255468e-13 relative error = 4.848665586128195e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4980850419673852 y1[1] (numeric) = -0.4980850419669351 absolute error = 4.501399253342697e-13 relative error = 9.037411032386414e-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) = -0.8676258374022181 y2[1] (numeric) = -0.8676258374026383 absolute error = 4.202194148206218e-13 relative error = 4.843325275775696e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4972176648833987 y1[1] (numeric) = -0.4972176648829485 absolute error = 4.502509476367322e-13 relative error = 9.055409319423907e-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) = -0.8681226211713495 y2[1] (numeric) = -0.8681226211717695 absolute error = 4.199973702156967e-13 relative error = 4.837995923306299e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4963497905817888 y1[1] (numeric) = -0.4963497905813384 absolute error = 4.503619699391948e-13 relative error = 9.073479600168862e-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) = -0.8686185368179321 y2[1] (numeric) = -0.868618536818352 absolute error = 4.198863479132342e-13 relative error = 4.833955644688769e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4954814199304297 y1[1] (numeric) = -0.4954814199299791 absolute error = 4.505285033928885e-13 relative error = 9.092742639192142e-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) = -0.8691135838460502 y2[1] (numeric) = -0.86911358384647 absolute error = 4.197753256107717e-13 relative error = 4.829924803995795e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4946125537976919 y1[1] (numeric) = -0.4946125537972412 absolute error = 4.50639525695351e-13 relative error = 9.110960128999742e-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) = -0.8696077617606569 y2[1] (numeric) = -0.8696077617610766 absolute error = 4.196643033083092e-13 relative error = 4.825903375777525e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4937431930524415 y1[1] (numeric) = -0.4937431930519907 absolute error = 4.507505479978136e-13 relative error = 9.129250880628108e-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) = -0.8701010700675744 y2[1] (numeric) = -0.8701010700679939 absolute error = 4.194422587033841e-13 relative error = 4.820615364497933e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4928733385640392 y1[1] (numeric) = -0.4928733385635883 absolute error = 4.509170814515073e-13 relative error = 9.14874159688229e-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) = -0.8705935082734942 y2[1] (numeric) = -0.8705935082739136 absolute error = 4.193312364009216e-13 relative error = 4.816613407013713e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4920029912023394 y1[1] (numeric) = -0.4920029912018884 absolute error = 4.510281037539698e-13 relative error = 9.167182147648399e-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) = -0.8710850758859784 y2[1] (numeric) = -0.8710850758863976 absolute error = 4.192202140984591e-13 relative error = 4.812620784164754e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4911321518376894 y1[1] (numeric) = -0.4911321518372383 absolute error = 4.511391260564324e-13 relative error = 9.185697258230529e-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) = -0.8715757724134593 y2[1] (numeric) = -0.8715757724138783 absolute error = 4.189981694935341e-13 relative error = 4.807363659654013e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4902608213409286 y1[1] (numeric) = -0.4902608213404773 absolute error = 4.513056595101261e-13 relative error = 9.205419643277738e-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) = -0.8720655973652404 y2[1] (numeric) = -0.8720655973656593 absolute error = 4.188871471910716e-13 relative error = 4.80339034651349e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4893890005833872 y1[1] (numeric) = -0.4893890005829358 absolute error = 4.514166818125886e-13 relative error = 9.224087204135508e-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) = -0.8725545502514968 y2[1] (numeric) = -0.8725545502519154 absolute error = 4.186651025861465e-13 relative error = 4.798153908720945e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.488516690436886 y1[1] (numeric) = -0.4885166904364345 absolute error = 4.515277041150512e-13 relative error = 9.242830653569786e-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) = -0.8730426305832756 y2[1] (numeric) = -0.8730426305836941 absolute error = 4.18554080283684e-13 relative error = 4.794199797598086e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4876438917737351 y1[1] (numeric) = -0.4876438917732834 absolute error = 4.516942375687449e-13 relative error = 9.262788792981114e-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) = -0.8735298378724965 y2[1] (numeric) = -0.8735298378729149 absolute error = 4.184430579812215e-13 relative error = 4.790254892727533e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4867706054667331 y1[1] (numeric) = -0.4867706054662813 absolute error = 4.518052598712075e-13 relative error = 9.281687406699516e-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) = -0.8740161716319524 y2[1] (numeric) = -0.8740161716323707 absolute error = 4.182210133762965e-13 relative error = 4.785048915003475e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4858968323891661 y1[1] (numeric) = -0.4858968323887142 absolute error = 4.519717933249012e-13 relative error = 9.301805716710382e-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) = -0.8745016313753096 y2[1] (numeric) = -0.8745016313757277 absolute error = 4.18109991073834e-13 relative error = 4.781123054239265e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4850225734148073 y1[1] (numeric) = -0.4850225734143552 absolute error = 4.520828156273637e-13 relative error = 9.32086134557551e-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) = -0.8749862166171082 y2[1] (numeric) = -0.8749862166175262 absolute error = 4.179989687713714e-13 relative error = 4.777206324317298e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4841478294179155 y1[1] (numeric) = -0.4841478294174633 absolute error = 4.521938379298263e-13 relative error = 9.3399951513465e-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) = -0.8754699268727631 y2[1] (numeric) = -0.8754699268731809 absolute error = 4.177769241664464e-13 relative error = 4.772030555735631e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4832726012732346 y1[1] (numeric) = -0.4832726012727822 absolute error = 4.5236037138352e-13 relative error = 9.360356250110747e-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) = -0.8759527616585642 y2[1] (numeric) = -0.8759527616589817 absolute error = 4.175548795615214e-13 relative error = 4.766865267607652e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4823968898559927 y1[1] (numeric) = -0.4823968898555402 absolute error = 4.524713936859825e-13 relative error = 9.379649894116365e-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) = -0.8764347204916765 y2[1] (numeric) = -0.8764347204920939 absolute error = 4.174438572590589e-13 relative error = 4.762977179006264e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4815206960419011 y1[1] (numeric) = -0.4815206960414485 absolute error = 4.525824159884451e-13 relative error = 9.399023130442189e-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) = -0.8769158028901414 y2[1] (numeric) = -0.8769158028905587 absolute error = 4.173328349565963e-13 relative error = 4.759098120722077e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4806440207071536 y1[1] (numeric) = -0.4806440207067009 absolute error = 4.527489494421388e-13 relative error = 9.419631368263485e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.211999999999741 y2[1] (analytic) = -0.8773960083728765 y2[1] (numeric) = -0.8773960083732937 absolute error = 4.172218126541338e-13 relative error = 4.755228068883835e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4797668647284254 y1[1] (numeric) = -0.4797668647279726 absolute error = 4.528599717446014e-13 relative error = 9.439167333928847e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.212999999999742 y2[1] (analytic) = -0.8778753364596763 y2[1] (numeric) = -0.8778753364600933 absolute error = 4.169997680492088e-13 relative error = 4.750102329231606e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4788892289828726 y1[1] (numeric) = -0.4788892289824196 absolute error = 4.529709940470639e-13 relative error = 9.458784341613671e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.213999999999742 y2[1] (analytic) = -0.8783537866712128 y2[1] (numeric) = -0.8783537866716297 absolute error = 4.168887457467463e-13 relative error = 4.746250907924838e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4780111143481307 y1[1] (numeric) = -0.4780111143476775 absolute error = 4.531375275007576e-13 relative error = 9.47964417351899e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.214999999999742 y2[1] (analytic) = -0.8788313585290358 y2[1] (numeric) = -0.8788313585294526 absolute error = 4.167777234442838e-13 relative error = 4.742408419993969e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4771325217023141 y1[1] (numeric) = -0.4771325217018609 absolute error = 4.531930386519889e-13 relative error = 9.498263439161223e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.215999999999743 y2[1] (analytic) = -0.8793080515555736 y2[1] (numeric) = -0.8793080515559902 absolute error = 4.166667011418212e-13 relative error = 4.738574841941923e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4762534519240157 y1[1] (numeric) = -0.4762534519235624 absolute error = 4.533595721056827e-13 relative error = 9.519292096973909e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.216999999999743 y2[1] (analytic) = -0.879783865274133 y2[1] (numeric) = -0.8797838652745495 absolute error = 4.165556788393587e-13 relative error = 4.734750150362937e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4753739058923051 y1[1] (numeric) = -0.4753739058918516 absolute error = 4.534705944081452e-13 relative error = 9.539240349277353e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.217999999999743 y2[1] (analytic) = -0.8802587992089005 y2[1] (numeric) = -0.8802587992093169 absolute error = 4.164446565368962e-13 relative error = 4.73093432194214e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4744938844867281 y1[1] (numeric) = -0.4744938844862746 absolute error = 4.535261055593764e-13 relative error = 9.558102230336792e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.218999999999744 y2[1] (analytic) = -0.8807328528849422 y2[1] (numeric) = -0.8807328528853584 absolute error = 4.162226119319712e-13 relative error = 4.725866766166221e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4736133885873063 y1[1] (numeric) = -0.4736133885868526 absolute error = 4.536926390130702e-13 relative error = 9.579387955360475e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.219999999999744 y2[1] (analytic) = -0.8812060258282044 y2[1] (numeric) = -0.8812060258286204 absolute error = 4.160005673270462e-13 relative error = 4.720809380939794e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4727324190745353 y1[1] (numeric) = -0.4727324190740815 absolute error = 4.538036613155327e-13 relative error = 9.59958832956582e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.220999999999744 y2[1] (analytic) = -0.8816783175655141 y2[1] (numeric) = -0.88167831756593 absolute error = 4.158895450245836e-13 relative error = 4.717021352786987e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4718509768293846 y1[1] (numeric) = -0.4718509768289307 absolute error = 4.539146836179953e-13 relative error = 9.619873771759195e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.221999999999745 y2[1] (analytic) = -0.8821497276245798 y2[1] (numeric) = -0.8821497276249954 absolute error = 4.156675004196586e-13 relative error = 4.711983548858001e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4709690627332964 y1[1] (numeric) = -0.4709690627328424 absolute error = 4.540257059204578e-13 relative error = 9.640244802609605e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.222999999999745 y2[1] (analytic) = -0.8826202555339914 y2[1] (numeric) = -0.8826202555344068 absolute error = 4.154454558147336e-13 relative error = 4.706955830776693e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4700866776681847 y1[1] (numeric) = -0.4700866776677306 absolute error = 4.541367282229203e-13 relative error = 9.660701947045543e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.223999999999745 y2[1] (analytic) = -0.8830899008232209 y2[1] (numeric) = -0.8830899008236363 absolute error = 4.153344335122711e-13 relative error = 4.703195372578649e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4692038225164346 y1[1] (numeric) = -0.4692038225159803 absolute error = 4.543032616766141e-13 relative error = 9.682428826774986e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.224999999999746 y2[1] (analytic) = -0.8835586630226232 y2[1] (numeric) = -0.8835586630230384 absolute error = 4.152234112098085e-13 relative error = 4.699443608977177e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.468320498160901 y1[1] (numeric) = -0.4683204981604466 absolute error = 4.543587728278453e-13 relative error = 9.701876697947591e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.225999999999746 y2[1] (analytic) = -0.8840265416634362 y2[1] (numeric) = -0.8840265416638512 absolute error = 4.150013666048835e-13 relative error = 4.694444646695704e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4674367054849083 y1[1] (numeric) = -0.4674367054844538 absolute error = 4.544697951303078e-13 relative error = 9.722595375963279e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.226999999999746 y2[1] (analytic) = -0.8844935362777812 y2[1] (numeric) = -0.884493536278196 absolute error = 4.14890344302421e-13 relative error = 4.690710867695045e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.466552445372249 y1[1] (numeric) = -0.4665524453717945 absolute error = 4.545808174327703e-13 relative error = 9.743402310753578e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.227999999999747 y2[1] (analytic) = -0.8849596463986635 y2[1] (numeric) = -0.8849596463990783 absolute error = 4.147793219999585e-13 relative error = 4.68698571384469e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4656677187071833 y1[1] (numeric) = -0.4656677187067286 absolute error = 4.546918397352329e-13 relative error = 9.764298049209371e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.228999999999747 y2[1] (analytic) = -0.8854248715599733 y2[1] (numeric) = -0.8854248715603878 absolute error = 4.145572773950335e-13 relative error = 4.682015275498774e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4647825263744377 y1[1] (numeric) = -0.4647825263739829 absolute error = 4.548028620376954e-13 relative error = 9.785283142750885e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.229999999999747 y2[1] (analytic) = -0.8858892112964852 y2[1] (numeric) = -0.8858892112968997 absolute error = 4.144462550925709e-13 relative error = 4.678307962301914e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4638968692592044 y1[1] (numeric) = -0.4638968692587495 absolute error = 4.549138843401579e-13 relative error = 9.806358147374623e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.230999999999748 y2[1] (analytic) = -0.8863526651438597 y2[1] (numeric) = -0.886352665144274 absolute error = 4.143352327901084e-13 relative error = 4.674609205612979e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4630107482471405 y1[1] (numeric) = -0.4630107482466855 absolute error = 4.550249066426204e-13 relative error = 9.827523623700901e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.231999999999748 y2[1] (analytic) = -0.8868152326386429 y2[1] (numeric) = -0.886815232639057 absolute error = 4.141131881851834e-13 relative error = 4.669667061908995e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4621241642243669 y1[1] (numeric) = -0.4621241642239118 absolute error = 4.551359289450829e-13 relative error = 9.848780137021982e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.232999999999748 y2[1] (analytic) = -0.8872769133182674 y2[1] (numeric) = -0.8872769133186813 absolute error = 4.138911435802584e-13 relative error = 4.664734733515996e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4612371180774677 y1[1] (numeric) = -0.4612371180770124 absolute error = 4.553024623987767e-13 relative error = 9.871331784756875e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.233999999999749 y2[1] (analytic) = -0.8877377067210525 y2[1] (numeric) = -0.8877377067214662 absolute error = 4.137801212777958e-13 relative error = 4.661062813318293e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4603496106934888 y1[1] (numeric) = -0.4603496106930334 absolute error = 4.554134847012392e-13 relative error = 9.892774407155171e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.234999999999749 y2[1] (analytic) = -0.8881976123862048 y2[1] (numeric) = -0.8881976123866184 absolute error = 4.136690989753333e-13 relative error = 4.657399358054819e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4594616429599375 y1[1] (numeric) = -0.459461642959482 absolute error = 4.555245070037017e-13 relative error = 9.91430980112133e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.235999999999749 y2[1] (analytic) = -0.8886566298538188 y2[1] (numeric) = -0.8886566298542322 absolute error = 4.134470543704083e-13 relative error = 4.652495018671262e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4585732157647816 y1[1] (numeric) = -0.458573215764326 absolute error = 4.556355293061642e-13 relative error = 9.935938551192571e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.23699999999975 y2[1] (analytic) = -0.8891147586648769 y2[1] (numeric) = -0.8891147586652902 absolute error = 4.133360320679458e-13 relative error = 4.648849071953595e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4576843299964481 y1[1] (numeric) = -0.4576843299959924 absolute error = 4.557465516086268e-13 relative error = 9.957661246828433e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.23799999999975 y2[1] (analytic) = -0.8895719983612506 y2[1] (numeric) = -0.8895719983616637 absolute error = 4.131139874630207e-13 relative error = 4.643963481584965e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4567949865438228 y1[1] (numeric) = -0.456794986543367 absolute error = 4.558575739110893e-13 relative error = 9.979478482462644e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.23899999999975 y2[1] (analytic) = -0.8900283484856999 y2[1] (numeric) = -0.8900283484861129 absolute error = 4.130029651605582e-13 relative error = 4.640334949591709e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.455905186296249 y1[1] (numeric) = -0.4559051862957931 absolute error = 4.559685962135518e-13 relative error = 1.000139085755567e-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) = -0.8904838085818749 y2[1] (numeric) = -0.8904838085822878 absolute error = 4.128919428580957e-13 relative error = 4.636714770992185e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.455014930143527 y1[1] (numeric) = -0.4550149301430709 absolute error = 4.560796185160143e-13 relative error = 1.00233989766479e-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) = -0.8909383781943156 y2[1] (numeric) = -0.8909383781947283 absolute error = 4.126698982531707e-13 relative error = 4.631856796757794e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4541242189759127 y1[1] (numeric) = -0.4541242189754564 absolute error = 4.562461519697081e-13 relative error = 1.004672582754077e-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) = -0.8913920568684524 y2[1] (numeric) = -0.8913920568688649 absolute error = 4.125588759507082e-13 relative error = 4.628253895374252e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4532330536841171 y1[1] (numeric) = -0.4532330536836608 absolute error = 4.563016631209393e-13 relative error = 1.006770489071525e-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) = -0.8918448441506065 y2[1] (numeric) = -0.8918448441510189 absolute error = 4.124478536482457e-13 relative error = 4.624659281862656e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4523414351593058 y1[1] (numeric) = -0.4523414351588493 absolute error = 4.564681965746331e-13 relative error = 1.009123111646568e-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) = -0.8922967395879908 y2[1] (numeric) = -0.8922967395884032 absolute error = 4.123368313457831e-13 relative error = 4.621072935178218e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.451449364293097 y1[1] (numeric) = -0.4514493642926404 absolute error = 4.565792188770956e-13 relative error = 1.011363078541558e-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) = -0.8927477427287098 y2[1] (numeric) = -0.8927477427291221 absolute error = 4.122258090433206e-13 relative error = 4.617494834356458e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4505568419775615 y1[1] (numeric) = -0.4505568419771048 absolute error = 4.566902411795581e-13 relative error = 1.013612931001283e-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) = -0.8931978531217606 y2[1] (numeric) = -0.8931978531221727 absolute error = 4.121147867408581e-13 relative error = 4.613924958512844e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4496638691052215 y1[1] (numeric) = -0.4496638691047647 absolute error = 4.568012634820207e-13 relative error = 1.015872732650283e-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) = -0.8936470703170326 y2[1] (numeric) = -0.8936470703174446 absolute error = 4.120037644383956e-13 relative error = 4.610363286842445e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.44877044656905 y1[1] (numeric) = -0.448770446568593 absolute error = 4.569677969357144e-13 relative error = 1.018266243754095e-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) = -0.8940953938653089 y2[1] (numeric) = -0.8940953938657207 absolute error = 4.117817198334706e-13 relative error = 4.605568070911049e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4478765752624692 y1[1] (numeric) = -0.4478765752620121 absolute error = 4.570788192381769e-13 relative error = 1.020546383722602e-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) = -0.8945428233182657 y2[1] (numeric) = -0.8945428233186774 absolute error = 4.11670697531008e-13 relative error = 4.602023366572149e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4469822560793505 y1[1] (numeric) = -0.4469822560788934 absolute error = 4.571343303894082e-13 relative error = 1.022712477222486e-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) = -0.8949893582284738 y2[1] (numeric) = -0.8949893582288854 absolute error = 4.115596752285455e-13 relative error = 4.598486802604888e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.446087489914013 y1[1] (numeric) = -0.4460874899135557 absolute error = 4.572453526918707e-13 relative error = 1.025012722907806e-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) = -0.8954349981493982 y2[1] (numeric) = -0.8954349981498096 absolute error = 4.11448652926083e-13 relative error = 4.594958358523252e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4451922776612227 y1[1] (numeric) = -0.4451922776607654 absolute error = 4.573563749943332e-13 relative error = 1.027323244232837e-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) = -0.895879742635399 y2[1] (numeric) = -0.8958797426358104 absolute error = 4.113376306236205e-13 relative error = 4.591438013919071e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4442966202161919 y1[1] (numeric) = -0.4442966202157344 absolute error = 4.57522908448027e-13 relative error = 1.029769049841971e-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) = -0.896323591241732 y2[1] (numeric) = -0.8963235912421431 absolute error = 4.111155860186955e-13 relative error = 4.586687107600859e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4434005184745779 y1[1] (numeric) = -0.4434005184741203 absolute error = 4.576339307504895e-13 relative error = 1.032100576528143e-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) = -0.8967665435245484 y2[1] (numeric) = -0.8967665435249593 absolute error = 4.108935414137704e-13 relative error = 4.581945483813898e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4425039733324824 y1[1] (numeric) = -0.4425039733320246 absolute error = 4.57744953052952e-13 relative error = 1.034442582753982e-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) = -0.897208599040896 y2[1] (numeric) = -0.8972085990413068 absolute error = 4.107825191113079e-13 relative error = 4.578450535922515e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4416069856864503 y1[1] (numeric) = -0.4416069856859925 absolute error = 4.578559753554146e-13 relative error = 1.036795137295453e-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) = -0.8976497573487192 y2[1] (numeric) = -0.89764975734913 absolute error = 4.107825191113079e-13 relative error = 4.576200413896252e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4407095564334695 y1[1] (numeric) = -0.4407095564330115 absolute error = 4.579669976578771e-13 relative error = 1.039158309531717e-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) = -0.8980900180068601 y2[1] (numeric) = -0.8980900180072706 absolute error = 4.105604745063829e-13 relative error = 4.571484664950889e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4398116864709689 y1[1] (numeric) = -0.4398116864705108 absolute error = 4.580780199603396e-13 relative error = 1.041532169451746e-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) = -0.8985293805750576 y2[1] (numeric) = -0.8985293805754681 absolute error = 4.104494522039204e-13 relative error = 4.568013701914046e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4389133766968185 y1[1] (numeric) = -0.4389133766963603 absolute error = 4.581890422628021e-13 relative error = 1.043916787661039e-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) = -0.8989678446139495 y2[1] (numeric) = -0.8989678446143599 absolute error = 4.103384299014579e-13 relative error = 4.564550693998099e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4380146280093279 y1[1] (numeric) = -0.4380146280088697 absolute error = 4.582445534140334e-13 relative error = 1.046185501832771e-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) = -0.8994054096850717 y2[1] (numeric) = -0.8994054096854819 absolute error = 4.102274075989953e-13 relative error = 4.561095621413231e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4371154413072459 y1[1] (numeric) = -0.4371154413067875 absolute error = 4.584110868677271e-13 relative error = 1.048718584492907e-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) = -0.8998420753508591 y2[1] (numeric) = -0.8998420753512693 absolute error = 4.101163852965328e-13 relative error = 4.557648464444426e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.436215817489759 y1[1] (numeric) = -0.4362158174893005 absolute error = 4.585221091701897e-13 relative error = 1.051135907470742e-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) = -0.9002778411746463 y2[1] (numeric) = -0.9002778411750563 absolute error = 4.100053629940703e-13 relative error = 4.554209203451146e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.435315757456491 y1[1] (numeric) = -0.4353157574560323 absolute error = 4.586331314726522e-13 relative error = 1.053564277462416e-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) = -0.9007127067206672 y2[1] (numeric) = -0.9007127067210771 absolute error = 4.098943406916078e-13 relative error = 4.550777818867009e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4344152621075017 y1[1] (numeric) = -0.434415262107043 absolute error = 4.586886426238834e-13 relative error = 1.055875984648014e-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) = -0.9011466715540565 y2[1] (numeric) = -0.9011466715544663 absolute error = 4.097833183891453e-13 relative error = 4.547354291199464e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4335143323432866 y1[1] (numeric) = -0.4335143323428278 absolute error = 4.587996649263459e-13 relative error = 1.058326405141864e-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) = -0.9015797352408492 y2[1] (numeric) = -0.9015797352412589 absolute error = 4.096722960866828e-13 relative error = 4.543938601029474e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4326129690647752 y1[1] (numeric) = -0.4326129690643163 absolute error = 4.589106872288085e-13 relative error = 1.060788094774144e-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) = -0.9020118973479819 y2[1] (numeric) = -0.9020118973483915 absolute error = 4.095612737842202e-13 relative error = 4.540530729011194e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4317111731733309 y1[1] (numeric) = -0.4317111731728718 absolute error = 4.59021709531271e-13 relative error = 1.063261129326794e-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) = -0.9024431574432925 y2[1] (numeric) = -0.9024431574437018 absolute error = 4.093392291792952e-13 relative error = 4.53590041437061e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4308089455707493 y1[1] (numeric) = -0.4308089455702901 absolute error = 4.591327318337335e-13 relative error = 1.065745585262767e-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) = -0.9028735150955208 y2[1] (numeric) = -0.9028735150959301 absolute error = 4.092282068768327e-13 relative error = 4.532508707308108e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.429906287159258 y1[1] (numeric) = -0.4299062871587988 absolute error = 4.591882429849647e-13 relative error = 1.068112415892302e-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) = -0.9033029698743092 y2[1] (numeric) = -0.9033029698747184 absolute error = 4.091171845743702e-13 relative error = 4.529124759008565e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4290031988415154 y1[1] (numeric) = -0.4290031988410561 absolute error = 4.592992652874273e-13 relative error = 1.070619674929519e-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) = -0.9037315213502031 y2[1] (numeric) = -0.9037315213506121 absolute error = 4.090061622719077e-13 relative error = 4.525748550419484e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4280996815206098 y1[1] (numeric) = -0.4280996815201504 absolute error = 4.594102875898898e-13 relative error = 1.073138587625351e-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) = -0.9041591690946508 y2[1] (numeric) = -0.9041591690950598 absolute error = 4.090061622719077e-13 relative error = 4.523607969174854e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4271957361000582 y1[1] (numeric) = -0.4271957360995988 absolute error = 4.59465798741121e-13 relative error = 1.075539290105425e-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) = -0.9045859126800049 y2[1] (numeric) = -0.9045859126804137 absolute error = 4.087841176669826e-13 relative error = 4.519019276520494e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4262913634838063 y1[1] (numeric) = -0.4262913634833466 absolute error = 4.596323321948148e-13 relative error = 1.078211691737159e-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) = -0.9050117516795216 y2[1] (numeric) = -0.9050117516799303 absolute error = 4.086730953645201e-13 relative error = 4.515666173462436e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4253865645762263 y1[1] (numeric) = -0.4253865645757665 absolute error = 4.597433544972773e-13 relative error = 1.080766043834218e-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) = -0.9054366856673621 y2[1] (numeric) = -0.9054366856677707 absolute error = 4.085620730620576e-13 relative error = 4.512320734617931e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4244813402821171 y1[1] (numeric) = -0.4244813402816573 absolute error = 4.598543767997398e-13 relative error = 1.083332370968564e-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) = -0.9058607142185924 y2[1] (numeric) = -0.9058607142190008 absolute error = 4.084510507595951e-13 relative error = 4.508982941289495e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4235756915067032 y1[1] (numeric) = -0.4235756915062432 absolute error = 4.599653991022024e-13 relative error = 1.085910755327005e-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) = -0.9062838369091839 y2[1] (numeric) = -0.9062838369095922 absolute error = 4.083400284571326e-13 relative error = 4.505652774849731e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4226696191556329 y1[1] (numeric) = -0.4226696191551729 absolute error = 4.600764214046649e-13 relative error = 1.08850127985011e-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) = -0.9067060533160141 y2[1] (numeric) = -0.9067060533164223 absolute error = 4.082290061546701e-13 relative error = 4.502330216741038e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4217631241349788 y1[1] (numeric) = -0.4217631241345186 absolute error = 4.601874437071274e-13 relative error = 1.091104028240865e-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) = -0.9071273630168665 y2[1] (numeric) = -0.9071273630172746 absolute error = 4.081179838522075e-13 relative error = 4.499015248475305e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4208562073512356 y1[1] (numeric) = -0.4208562073507753 absolute error = 4.602984660095899e-13 relative error = 1.09371908497345e-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) = -0.9075477655904314 y2[1] (numeric) = -0.9075477655908394 absolute error = 4.08006961549745e-13 relative error = 4.49570785163362e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4199488697113202 y1[1] (numeric) = -0.4199488697108598 absolute error = 4.604094883120524e-13 relative error = 1.096346535302132e-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) = -0.9079672606163064 y2[1] (numeric) = -0.9079672606167143 absolute error = 4.078959392472825e-13 relative error = 4.492408007865972e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4190411121225701 y1[1] (numeric) = -0.4190411121221096 absolute error = 4.604649994632837e-13 relative error = 1.098853993420572e-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) = -0.9083858476749964 y2[1] (numeric) = -0.9083858476754042 absolute error = 4.0778491694482e-13 relative error = 4.489115698890962e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4181329354927427 y1[1] (numeric) = -0.4181329354922821 absolute error = 4.605760217657462e-13 relative error = 1.101506202143553e-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) = -0.9088035263479145 y2[1] (numeric) = -0.9088035263483222 absolute error = 4.076738946423575e-13 relative error = 4.485830906495503e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4172243407300147 y1[1] (numeric) = -0.4172243407295541 absolute error = 4.606870440682087e-13 relative error = 1.10417106361088e-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) = -0.909220296217382 y2[1] (numeric) = -0.9092202962177895 absolute error = 4.07562872339895e-13 relative error = 4.48255361253454e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4163153287429808 y1[1] (numeric) = -0.41631532874252 absolute error = 4.607980663706712e-13 relative error = 1.106848666278999e-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) = -0.909636156866629 y2[1] (numeric) = -0.9096361568670365 absolute error = 4.074518500374325e-13 relative error = 4.479283798930753e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4154059004406528 y1[1] (numeric) = -0.4154059004401919 absolute error = 4.609090886731337e-13 relative error = 1.109539099430731e-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) = -0.9100511078797949 y2[1] (numeric) = -0.9100511078802023 absolute error = 4.073408277349699e-13 relative error = 4.476021447674277e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4144960567324589 y1[1] (numeric) = -0.414496056731998 absolute error = 4.60964599824365e-13 relative error = 1.112108528747475e-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) = -0.9104651488419289 y2[1] (numeric) = -0.9104651488423361 absolute error = 4.072298054325074e-13 relative error = 4.472766540822409e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.413585798528243 y1[1] (numeric) = -0.4135857985277818 absolute error = 4.611311332780588e-13 relative error = 1.114958818506359e-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) = -0.9108782793389898 y2[1] (numeric) = -0.9108782793393969 absolute error = 4.071187831300449e-13 relative error = 4.469519060499332e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4126751267382628 y1[1] (numeric) = -0.4126751267378017 absolute error = 4.6118664442929e-13 relative error = 1.117553771836109e-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) = -0.9112904989578473 y2[1] (numeric) = -0.9112904989582543 absolute error = 4.070077608275824e-13 relative error = 4.466278988895823e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4117640422731904 y1[1] (numeric) = -0.4117640422727291 absolute error = 4.612976667317525e-13 relative error = 1.120296138985585e-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) = -0.9117018072862818 y2[1] (numeric) = -0.9117018072866887 absolute error = 4.068967385251199e-13 relative error = 4.463046308268982e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.41085254604411 y1[1] (numeric) = -0.4108525460436486 absolute error = 4.614086890342151e-13 relative error = 1.123051794316195e-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) = -0.912112203912985 y2[1] (numeric) = -0.9121122039133918 absolute error = 4.067857162226574e-13 relative error = 4.459821000941947e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4099406389625179 y1[1] (numeric) = -0.4099406389620563 absolute error = 4.615197113366776e-13 relative error = 1.125820832266585e-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) = -0.9125216884275602 y2[1] (numeric) = -0.9125216884279669 absolute error = 4.066746939201948e-13 relative error = 4.456603049303615e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4090283219403208 y1[1] (numeric) = -0.4090283219398593 absolute error = 4.615752224879088e-13 relative error = 1.128467633483959e-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) = -0.9129302604205231 y2[1] (numeric) = -0.9129302604209296 absolute error = 4.065636716177323e-13 relative error = 4.453392435808371e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.408115595889836 y1[1] (numeric) = -0.4081155958893743 absolute error = 4.616862447903713e-13 relative error = 1.131263420070317e-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) = -0.9133379194833016 y2[1] (numeric) = -0.913337919483708 absolute error = 4.064526493152698e-13 relative error = 4.450189142975804e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4072024617237893 y1[1] (numeric) = -0.4072024617233275 absolute error = 4.617972670928339e-13 relative error = 1.13407287651929e-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) = -0.9137446652082368 y2[1] (numeric) = -0.9137446652086431 absolute error = 4.062306047103448e-13 relative error = 4.445778127938699e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4062889203553147 y1[1] (numeric) = -0.4062889203548529 absolute error = 4.618527782440651e-13 relative error = 1.136759471166868e-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) = -0.9141504971885829 y2[1] (numeric) = -0.914150497188989 absolute error = 4.061195824078823e-13 relative error = 4.442589963653464e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4053749726979537 y1[1] (numeric) = -0.4053749726974917 absolute error = 4.619638005465276e-13 relative error = 1.139596254480018e-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) = -0.914555415018508 y2[1] (numeric) = -0.914555415018914 absolute error = 4.060085601054197e-13 relative error = 4.439409066286085e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4044606196656538 y1[1] (numeric) = -0.4044606196651917 absolute error = 4.620748228489902e-13 relative error = 1.142447003198885e-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) = -0.9149594182930942 y2[1] (numeric) = -0.9149594182935001 absolute error = 4.058975378029572e-13 relative error = 4.436235418617591e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4035458621727679 y1[1] (numeric) = -0.4035458621723057 absolute error = 4.621858451514527e-13 relative error = 1.14531181824776e-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) = -0.9153625066083385 y2[1] (numeric) = -0.9153625066087443 absolute error = 4.057865155004947e-13 relative error = 4.433069003492853e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4026307011340534 y1[1] (numeric) = -0.4026307011335912 absolute error = 4.622413563026839e-13 relative error = 1.148052930391872e-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) = -0.9157646795611524 y2[1] (numeric) = -0.915764679561558 absolute error = 4.056754931980322e-13 relative error = 4.429909803820319e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4017151374646714 y1[1] (numeric) = -0.4017151374642091 absolute error = 4.623523786051464e-13 relative error = 1.150945870556864e-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) = -0.9161659367493631 y2[1] (numeric) = -0.9161659367497687 absolute error = 4.055644708955697e-13 relative error = 4.426757802571747e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.4007991720801854 y1[1] (numeric) = -0.4007991720797229 absolute error = 4.62463400907609e-13 relative error = 1.153853184145517e-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) = -0.9165662777717133 y2[1] (numeric) = -0.9165662777721189 absolute error = 4.055644708955697e-13 relative error = 4.424824267826516e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3998828058965607 y1[1] (numeric) = -0.3998828058960981 absolute error = 4.625744232100715e-13 relative error = 1.156774976040674e-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) = -0.9169657022278622 y2[1] (numeric) = -0.9169657022282676 absolute error = 4.053424262906447e-13 relative error = 4.420475327548497e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3989660398301634 y1[1] (numeric) = -0.3989660398297008 absolute error = 4.626299343613027e-13 relative error = 1.159572214613155e-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) = -0.9173642097183853 y2[1] (numeric) = -0.9173642097187905 absolute error = 4.052314039881821e-13 relative error = 4.417344820031523e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3980488747977596 y1[1] (numeric) = -0.3980488747972968 absolute error = 4.627409566637652e-13 relative error = 1.162522961279251e-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) = -0.917761799844775 y2[1] (numeric) = -0.9177617998451801 absolute error = 4.051203816857196e-13 relative error = 4.414221443453404e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3971313117165141 y1[1] (numeric) = -0.3971313117160513 absolute error = 4.628519789662278e-13 relative error = 1.165488505465989e-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) = -0.9181584722094415 y2[1] (numeric) = -0.9181584722098465 absolute error = 4.050093593832571e-13 relative error = 4.411105181098523e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.39621335150399 y1[1] (numeric) = -0.396213351503527 absolute error = 4.629630012686903e-13 relative error = 1.168468956210902e-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) = -0.9185542264157122 y2[1] (numeric) = -0.9185542264161171 absolute error = 4.048983370807946e-13 relative error = 4.407996016313019e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3952949950781474 y1[1] (numeric) = -0.3952949950776843 absolute error = 4.630740235711528e-13 relative error = 1.171464423625212e-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) = -0.918949062067833 y2[1] (numeric) = -0.9189490620682378 absolute error = 4.047873147783321e-13 relative error = 4.404893932504524e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3943762433573427 y1[1] (numeric) = -0.3943762433568795 absolute error = 4.631295347223841e-13 relative error = 1.174334262073551e-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) = -0.9193429787709684 y2[1] (numeric) = -0.9193429787713731 absolute error = 4.046762924758696e-13 relative error = 4.401798913141911e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3934570972603275 y1[1] (numeric) = -0.3934570972598642 absolute error = 4.632405570248466e-13 relative error = 1.177359768702679e-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) = -0.9197359761312016 y2[1] (numeric) = -0.9197359761316062 absolute error = 4.04565270173407e-13 relative error = 4.398710941755042e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3925375577062478 y1[1] (numeric) = -0.3925375577057844 absolute error = 4.633515793273091e-13 relative error = 1.180400627228782e-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) = -0.9201280537555353 y2[1] (numeric) = -0.9201280537559398 absolute error = 4.044542478709445e-13 relative error = 4.395630001934515e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3916176256146431 y1[1] (numeric) = -0.3916176256141796 absolute error = 4.634626016297716e-13 relative error = 1.183456952179739e-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) = -0.920519211251892 y2[1] (numeric) = -0.9205192112522963 absolute error = 4.04343225568482e-13 relative error = 4.392556077331416e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3906973019054454 y1[1] (numeric) = -0.3906973019049819 absolute error = 4.635736239322341e-13 relative error = 1.186528859225206e-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) = -0.920909448229114 y2[1] (numeric) = -0.9209094482295183 absolute error = 4.042322032660195e-13 relative error = 4.389489151657071e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3897765874989784 y1[1] (numeric) = -0.3897765874985147 absolute error = 4.636846462346966e-13 relative error = 1.189616465190875e-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) = -0.9212987642969646 y2[1] (numeric) = -0.9212987642973688 absolute error = 4.042322032660195e-13 relative error = 4.387634271652212e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3888554833159564 y1[1] (numeric) = -0.3888554833154926 absolute error = 4.637401573859279e-13 relative error = 1.192577132849958e-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) = -0.9216871590661276 y2[1] (numeric) = -0.9216871590665318 absolute error = 4.04121180963557e-13 relative error = 4.384580787401019e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3879339902774834 y1[1] (numeric) = -0.3879339902770196 absolute error = 4.638511796883904e-13 relative error = 1.195696152731047e-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) = -0.9220746321482085 y2[1] (numeric) = -0.9220746321486125 absolute error = 4.040101586610945e-13 relative error = 4.381534255202852e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3870121093050526 y1[1] (numeric) = -0.3870121093045886 absolute error = 4.640177131420842e-13 relative error = 1.198974662512004e-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) = -0.922461183155734 y2[1] (numeric) = -0.9224611831561379 absolute error = 4.038991363586319e-13 relative error = 4.378494659004464e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3860898413205446 y1[1] (numeric) = -0.3860898413200805 absolute error = 4.641287354445467e-13 relative error = 1.202126256047259e-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) = -0.9228468117021532 y2[1] (numeric) = -0.922846811702557 absolute error = 4.037881140561694e-13 relative error = 4.37546198281163e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3851671872462275 y1[1] (numeric) = -0.3851671872457633 absolute error = 4.641842465957779e-13 relative error = 1.205150028263017e-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) = -0.9232315174018377 y2[1] (numeric) = -0.9232315174022413 absolute error = 4.035660694512444e-13 relative error = 4.371233670476955e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3842441480047553 y1[1] (numeric) = -0.384244148004291 absolute error = 4.642952688982405e-13 relative error = 1.208334001465377e-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) = -0.9236152998700816 y2[1] (numeric) = -0.9236152998704852 absolute error = 4.035660694512444e-13 relative error = 4.369417326759433e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.383320724519167 y1[1] (numeric) = -0.3833207245187026 absolute error = 4.64406291200703e-13 relative error = 1.2115345231679e-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) = -0.9239981587231028 y2[1] (numeric) = -0.9239981587235061 absolute error = 4.033440248463194e-13 relative error = 4.365203772740317e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3823969177128863 y1[1] (numeric) = -0.3823969177124217 absolute error = 4.645173135031655e-13 relative error = 1.21475171997055e-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) = -0.9243800935780421 y2[1] (numeric) = -0.9243800935784453 absolute error = 4.032330025438569e-13 relative error = 4.362199114252273e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3814727285097196 y1[1] (numeric) = -0.381472728509255 absolute error = 4.645728246543968e-13 relative error = 1.217840201760478e-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) = -0.9247611040529649 y2[1] (numeric) = -0.924761104053368 absolute error = 4.031219802413943e-13 relative error = 4.359201295065562e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3805481578338563 y1[1] (numeric) = -0.3805481578333915 absolute error = 4.647393581080905e-13 relative error = 1.221236651764299e-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) = -0.9251411897668607 y2[1] (numeric) = -0.9251411897672637 absolute error = 4.030109579389318e-13 relative error = 4.356210299538087e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3796232066098668 y1[1] (numeric) = -0.3796232066094019 absolute error = 4.64850380410553e-13 relative error = 1.224504646493524e-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) = -0.9255203503396437 y2[1] (numeric) = -0.9255203503400466 absolute error = 4.028999356364693e-13 relative error = 4.353226112085107e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3786978757627023 y1[1] (numeric) = -0.3786978757622373 absolute error = 4.649614027130156e-13 relative error = 1.227789835833057e-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) = -0.9258985853921536 y2[1] (numeric) = -0.9258985853925564 absolute error = 4.027889133340068e-13 relative error = 4.350248717179001e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3777721662176936 y1[1] (numeric) = -0.3777721662172286 absolute error = 4.650169138642468e-13 relative error = 1.230945409557458e-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) = -0.9262758945461553 y2[1] (numeric) = -0.926275894546558 absolute error = 4.026778910315443e-13 relative error = 4.347278099349041e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3768460789005502 y1[1] (numeric) = -0.3768460789000851 absolute error = 4.651279361667093e-13 relative error = 1.234265028108351e-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) = -0.9266522774243396 y2[1] (numeric) = -0.9266522774247422 absolute error = 4.025668687290818e-13 relative error = 4.344314243181159e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3759196147373593 y1[1] (numeric) = -0.3759196147368941 absolute error = 4.651834473179406e-13 relative error = 1.237454575609061e-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) = -0.9270277336503238 y2[1] (numeric) = -0.9270277336507262 absolute error = 4.024558464266192e-13 relative error = 4.34135713331772e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.374992774654585 y1[1] (numeric) = -0.3749927746541197 absolute error = 4.652389584691718e-13 relative error = 1.240661127131622e-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) = -0.9274022628486515 y2[1] (numeric) = -0.9274022628490538 absolute error = 4.023448241241567e-13 relative error = 4.338406754457293e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3740655595790672 y1[1] (numeric) = -0.3740655595786019 absolute error = 4.652944696204031e-13 relative error = 1.243884815656365e-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) = -0.9277758646447937 y2[1] (numeric) = -0.9277758646451959 absolute error = 4.022338018216942e-13 relative error = 4.335463091354425e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3731379704380211 y1[1] (numeric) = -0.3731379704375557 absolute error = 4.654054919228656e-13 relative error = 1.247274543988469e-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) = -0.9281485386651485 y2[1] (numeric) = -0.9281485386655506 absolute error = 4.021227795192317e-13 relative error = 4.33252612881942e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3722100081590357 y1[1] (numeric) = -0.3722100081585701 absolute error = 4.655165142253281e-13 relative error = 1.250682421270159e-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) = -0.9285202845370419 y2[1] (numeric) = -0.928520284537444 absolute error = 4.020117572167692e-13 relative error = 4.329595851718106e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.371281673670073 y1[1] (numeric) = -0.3712816736696075 absolute error = 4.655720253765594e-13 relative error = 1.25395907849272e-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) = -0.9288911018887284 y2[1] (numeric) = -0.9288911018891302 absolute error = 4.017897126118442e-13 relative error = 4.32547703164428e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3703529678994677 y1[1] (numeric) = -0.370352967899002 absolute error = 4.656830476790219e-13 relative error = 1.257403309929547e-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) = -0.9292609903493901 y2[1] (numeric) = -0.9292609903497919 absolute error = 4.017897126118442e-13 relative error = 4.323755293556188e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3694238917759253 y1[1] (numeric) = -0.3694238917754595 absolute error = 4.657940699814844e-13 relative error = 1.260866122497601e-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) = -0.9296299495491391 y2[1] (numeric) = -0.9296299495495408 absolute error = 4.016786903093816e-13 relative error = 4.320844982502894e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.368494446228522 y1[1] (numeric) = -0.368494446228056 absolute error = 4.659050922839469e-13 relative error = 1.264347663994414e-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) = -0.9299979791190159 y2[1] (numeric) = -0.9299979791194176 absolute error = 4.016786903093816e-13 relative error = 4.319135087690089e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.367564632186703 y1[1] (numeric) = -0.3675646321862371 absolute error = 4.659606034351782e-13 relative error = 1.267697059597658e-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) = -0.9303650786909913 y2[1] (numeric) = -0.9303650786913927 absolute error = 4.014566457044566e-13 relative error = 4.315044221880078e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3666344505802826 y1[1] (numeric) = -0.3666344505798165 absolute error = 4.660716257376407e-13 relative error = 1.271216125489506e-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) = -0.9307312478979654 y2[1] (numeric) = -0.9307312478983667 absolute error = 4.013456234019941e-13 relative error = 4.312153742645084e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3657039023394421 y1[1] (numeric) = -0.365703902338976 absolute error = 4.66127136888872e-13 relative error = 1.274602578498652e-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) = -0.9310964863737691 y2[1] (numeric) = -0.9310964863741703 absolute error = 4.012346010995316e-13 relative error = 4.309269844440852e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3647729883947298 y1[1] (numeric) = -0.3647729883942635 absolute error = 4.662381591913345e-13 relative error = 1.278159770664836e-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) = -0.931460793753164 y2[1] (numeric) = -0.9314607937535652 absolute error = 4.011235787970691e-13 relative error = 4.306392512569523e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3638417096770594 y1[1] (numeric) = -0.3638417096765931 absolute error = 4.662936703425657e-13 relative error = 1.281583880958676e-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) = -0.9318241696718429 y2[1] (numeric) = -0.9318241696722439 absolute error = 4.010125564946065e-13 relative error = 4.303521732386805e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3629100671177097 y1[1] (numeric) = -0.3629100671172433 absolute error = 4.664046926450283e-13 relative error = 1.285179814242381e-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) = -0.9321866137664296 y2[1] (numeric) = -0.9321866137668307 absolute error = 4.010125564946065e-13 relative error = 4.30184847725227e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3619780616483232 y1[1] (numeric) = -0.3619780616478567 absolute error = 4.665157149474908e-13 relative error = 1.288795549716851e-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) = -0.9325481256744804 y2[1] (numeric) = -0.9325481256748813 absolute error = 4.00901534192144e-13 relative error = 4.298990295028319e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3610456942009051 y1[1] (numeric) = -0.3610456942004385 absolute error = 4.66571226098722e-13 relative error = 1.292277497260767e-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) = -0.9329087050344832 y2[1] (numeric) = -0.932908705034884 absolute error = 4.007905118896815e-13 relative error = 4.2961386224268e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.360112965707823 y1[1] (numeric) = -0.3601129657073563 absolute error = 4.666822484011846e-13 relative error = 1.295932923392229e-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) = -0.9332683514858586 y2[1] (numeric) = -0.9332683514862594 absolute error = 4.007905118896815e-13 relative error = 4.294483052506624e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3591798771018051 y1[1] (numeric) = -0.3591798771013383 absolute error = 4.667932707036471e-13 relative error = 1.299608637516573e-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) = -0.9336270646689604 y2[1] (numeric) = -0.9336270646693611 absolute error = 4.00679489587219e-13 relative error = 4.291643898833304e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.35824642931594 y1[1] (numeric) = -0.3582464293154732 absolute error = 4.668487818548783e-13 relative error = 1.303149853429973e-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) = -0.9339848442250753 y2[1] (numeric) = -0.9339848442254759 absolute error = 4.005684672847565e-13 relative error = 4.288811213174525e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3573126232836755 y1[1] (numeric) = -0.3573126232832086 absolute error = 4.669598041573408e-13 relative error = 1.306866239054238e-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) = -0.9343416897964237 y2[1] (numeric) = -0.9343416897968243 absolute error = 4.005684672847565e-13 relative error = 4.287173222164936e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3563784599388176 y1[1] (numeric) = -0.3563784599383505 absolute error = 4.670708264598034e-13 relative error = 1.310603414527324e-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) = -0.9346976010261604 y2[1] (numeric) = -0.9346976010265607 absolute error = 4.003464226798314e-13 relative error = 4.283165188830163e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3554439402155293 y1[1] (numeric) = -0.3554439402150621 absolute error = 4.671263376110346e-13 relative error = 1.314205377443725e-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) = -0.9350525775583738 y2[1] (numeric) = -0.9350525775587741 absolute error = 4.003464226798314e-13 relative error = 4.28153915927619e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3545090650483305 y1[1] (numeric) = -0.3545090650478632 absolute error = 4.672373599134971e-13 relative error = 1.317984237863701e-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) = -0.9354066190380875 y2[1] (numeric) = -0.9354066190384879 absolute error = 4.003464226798314e-13 relative error = 4.279918642135782e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3535738353720961 y1[1] (numeric) = -0.3535738353716288 absolute error = 4.672928710647284e-13 relative error = 1.321627406544254e-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) = -0.9357597251112603 y2[1] (numeric) = -0.9357597251116605 absolute error = 4.002354003773689e-13 relative error = 4.27711718763897e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3526382521220559 y1[1] (numeric) = -0.3526382521215884 absolute error = 4.674038933671909e-13 relative error = 1.325448644764188e-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) = -0.9361118954247858 y2[1] (numeric) = -0.936111895425186 absolute error = 4.002354003773689e-13 relative error = 4.275508113223488e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3517023162337928 y1[1] (numeric) = -0.3517023162333254 absolute error = 4.674594045184222e-13 relative error = 1.329133710361123e-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) = -0.936463129626494 y2[1] (numeric) = -0.936463129626894 absolute error = 4.000133557724439e-13 relative error = 4.271533423125673e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3507660286432429 y1[1] (numeric) = -0.3507660286427753 absolute error = 4.675704268208847e-13 relative error = 1.332998034699766e-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) = -0.9368134273651506 y2[1] (numeric) = -0.9368134273655505 absolute error = 3.999023334699814e-13 relative error = 4.268751085205226e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3498293902866936 y1[1] (numeric) = -0.3498293902862259 absolute error = 4.676814491233472e-13 relative error = 1.33688438452833e-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) = -0.9371627882904578 y2[1] (numeric) = -0.9371627882908576 absolute error = 3.997913111675189e-13 relative error = 4.265975091657291e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3488924021007831 y1[1] (numeric) = -0.3488924021003154 absolute error = 4.677924714258097e-13 relative error = 1.340792945358209e-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) = -0.9375112120530549 y2[1] (numeric) = -0.9375112120534547 absolute error = 3.997913111675189e-13 relative error = 4.264389652386303e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3479550650224996 y1[1] (numeric) = -0.3479550650220318 absolute error = 4.67847982577041e-13 relative error = 1.344564369387147e-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) = -0.9378586983045181 y2[1] (numeric) = -0.9378586983049177 absolute error = 3.996802888650564e-13 relative error = 4.26162586738927e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3470173799891801 y1[1] (numeric) = -0.3470173799887122 absolute error = 4.679034937282722e-13 relative error = 1.348357519565335e-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) = -0.9382052466973611 y2[1] (numeric) = -0.9382052466977606 absolute error = 3.995692665625938e-13 relative error = 4.258868386945653e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3460793479385095 y1[1] (numeric) = -0.3460793479380415 absolute error = 4.680145160307347e-13 relative error = 1.352332980336898e-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) = -0.9385508568850355 y2[1] (numeric) = -0.938550856885435 absolute error = 3.995692665625938e-13 relative error = 4.257300109327349e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3451409698085198 y1[1] (numeric) = -0.3451409698080518 absolute error = 4.68070027181966e-13 relative error = 1.356170574132783e-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) = -0.9388955285219314 y2[1] (numeric) = -0.9388955285223308 absolute error = 3.994582442601313e-13 relative error = 4.254554762753889e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3442022465375891 y1[1] (numeric) = -0.3442022465371209 absolute error = 4.681255383331973e-13 relative error = 1.360030456053618e-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) = -0.9392392612633769 y2[1] (numeric) = -0.9392392612637762 absolute error = 3.993472219576688e-13 relative error = 4.251815681347309e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3432631790644405 y1[1] (numeric) = -0.3432631790639722 absolute error = 4.682365606356598e-13 relative error = 1.364074532875424e-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) = -0.9395820547656394 y2[1] (numeric) = -0.9395820547660386 absolute error = 3.992361996552063e-13 relative error = 4.249082851574768e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3423237683281414 y1[1] (numeric) = -0.3423237683276731 absolute error = 4.683475829381223e-13 relative error = 1.368142169109269e-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) = -0.9399239086859255 y2[1] (numeric) = -0.9399239086863246 absolute error = 3.991251773527438e-13 relative error = 4.246356259952432e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3413840152681026 y1[1] (numeric) = -0.3413840152676341 absolute error = 4.684586052405848e-13 relative error = 1.372233567739501e-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) = -0.9402648226823811 y2[1] (numeric) = -0.9402648226827802 absolute error = 3.991251773527438e-13 relative error = 4.244816648719476e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3404439208240769 y1[1] (numeric) = -0.3404439208236084 absolute error = 4.685696275430473e-13 relative error = 1.376348934088263e-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) = -0.9406047964140926 y2[1] (numeric) = -0.9406047964144916 absolute error = 3.990141550502813e-13 relative error = 4.242102066366871e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3395034859361588 y1[1] (numeric) = -0.3395034859356901 absolute error = 4.686806498455098e-13 relative error = 1.380488475849234e-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) = -0.9409438295410859 y2[1] (numeric) = -0.9409438295414848 absolute error = 3.989031327478187e-13 relative error = 4.239393683492993e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.338562711544783 y1[1] (numeric) = -0.3385627115443143 absolute error = 4.687361609967411e-13 relative error = 1.38448844191378e-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) = -0.9412819217243281 y2[1] (numeric) = -0.9412819217247269 absolute error = 3.987921104453562e-13 relative error = 4.236691486805691e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3376215985907239 y1[1] (numeric) = -0.3376215985902551 absolute error = 4.688471832992036e-13 relative error = 1.388676510200272e-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) = -0.941619072625727 y2[1] (numeric) = -0.9416190726261258 absolute error = 3.987921104453562e-13 relative error = 4.235174520555483e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3366801480150944 y1[1] (numeric) = -0.3366801480146254 absolute error = 4.689582056016661e-13 relative error = 1.392889388835131e-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) = -0.9419552819081318 y2[1] (numeric) = -0.9419552819085305 absolute error = 3.986810881428937e-13 relative error = 4.232484235719555e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3357383607593448 y1[1] (numeric) = -0.3357383607588758 absolute error = 4.690137167528974e-13 relative error = 1.396961954815415e-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) = -0.9422905492353332 y2[1] (numeric) = -0.9422905492357317 absolute error = 3.985700658404312e-13 relative error = 4.229800098959604e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3347962377652626 y1[1] (numeric) = -0.3347962377647934 absolute error = 4.691247390553599e-13 relative error = 1.401224643940831e-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) = -0.9426248742720638 y2[1] (numeric) = -0.9426248742724623 absolute error = 3.985700658404312e-13 relative error = 4.228299896586375e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3338537799749704 y1[1] (numeric) = -0.3338537799745012 absolute error = 4.691802502065912e-13 relative error = 1.405346526978866e-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) = -0.9429582566839987 y2[1] (numeric) = -0.9429582566843971 absolute error = 3.984590435379687e-13 relative error = 4.225627600305313e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3329109883309261 y1[1] (numeric) = -0.3329109883304568 absolute error = 4.692912725090537e-13 relative error = 1.40965990597631e-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) = -0.9432906961377555 y2[1] (numeric) = -0.9432906961381539 absolute error = 3.983480212355062e-13 relative error = 4.222961414402974e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3319678637759212 y1[1] (numeric) = -0.3319678637754518 absolute error = 4.694022948115162e-13 relative error = 1.413999203032386e-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) = -0.9436221923008948 y2[1] (numeric) = -0.9436221923012931 absolute error = 3.982369989330437e-13 relative error = 4.22030132591516e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3310244072530801 y1[1] (numeric) = -0.3310244072526107 absolute error = 4.694578059627474e-13 relative error = 1.418196953688161e-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) = -0.9439527448419205 y2[1] (numeric) = -0.9439527448423186 absolute error = 3.981259766305811e-13 relative error = 4.217647321924504e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3300806197058594 y1[1] (numeric) = -0.3300806197053899 absolute error = 4.695133171139787e-13 relative error = 1.422420127338497e-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) = -0.9442823534302799 y2[1] (numeric) = -0.944282353430678 absolute error = 3.981259766305811e-13 relative error = 4.21617512160759e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3291365020780466 y1[1] (numeric) = -0.3291365020775769 absolute error = 4.696243394164412e-13 relative error = 1.426837608261029e-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) = -0.9446110177363646 y2[1] (numeric) = -0.9446110177367626 absolute error = 3.980149543281186e-13 relative error = 4.213532838965914e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3281920553137591 y1[1] (numeric) = -0.3281920553132893 absolute error = 4.697353617189037e-13 relative error = 1.431281940295069e-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) = -0.9449387374315102 y2[1] (numeric) = -0.9449387374319083 absolute error = 3.980149543281186e-13 relative error = 4.212071519154616e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3272472803574435 y1[1] (numeric) = -0.3272472803569738 absolute error = 4.69790872870135e-13 relative error = 1.435583734590536e-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) = -0.9452655121879973 y2[1] (numeric) = -0.9452655121883952 absolute error = 3.979039320256561e-13 relative error = 4.209440912581604e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.326302178153875 y1[1] (numeric) = -0.3263021781534051 absolute error = 4.699018951725975e-13 relative error = 1.440082005676974e-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) = -0.9455913416790509 y2[1] (numeric) = -0.9455913416794487 absolute error = 3.977929097231936e-13 relative error = 4.206816329523996e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3253567496481554 y1[1] (numeric) = -0.3253567496476854 absolute error = 4.7001291747506e-13 relative error = 1.444607858860581e-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) = -0.9459162255788416 y2[1] (numeric) = -0.9459162255792394 absolute error = 3.977929097231936e-13 relative error = 4.205371458553523e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3244109957857133 y1[1] (numeric) = -0.3244109957852432 absolute error = 4.700684286262913e-13 relative error = 1.448990431066617e-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) = -0.9462401635624855 y2[1] (numeric) = -0.9462401635628832 absolute error = 3.976818874207311e-13 relative error = 4.202758482830664e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3234649175123025 y1[1] (numeric) = -0.3234649175118323 absolute error = 4.701794509287538e-13 relative error = 1.45357170275157e-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) = -0.9465631553060447 y2[1] (numeric) = -0.9465631553064424 absolute error = 3.976818874207311e-13 relative error = 4.201324393322195e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3225185157740011 y1[1] (numeric) = -0.3225185157735309 absolute error = 4.702349620799851e-13 relative error = 1.458009196623903e-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) = -0.9468852004865276 y2[1] (numeric) = -0.9468852004869251 absolute error = 3.975708651182686e-13 relative error = 4.198722980504808e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3215717915172108 y1[1] (numeric) = -0.3215717915167405 absolute error = 4.702904732312163e-13 relative error = 1.46247427677762e-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) = -0.9472062987818888 y2[1] (numeric) = -0.9472062987822863 absolute error = 3.975708651182686e-13 relative error = 4.19729963398202e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3206247456886558 y1[1] (numeric) = -0.3206247456881854 absolute error = 4.704014955336788e-13 relative error = 1.46714033105375e-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) = -0.9475264498710302 y2[1] (numeric) = -0.9475264498714276 absolute error = 3.97459842815806e-13 relative error = 4.194709739975123e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3196773792353818 y1[1] (numeric) = -0.3196773792349113 absolute error = 4.705125178361413e-13 relative error = 1.471835507915929e-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) = -0.9478456534338007 y2[1] (numeric) = -0.947845653434198 absolute error = 3.973488205133435e-13 relative error = 4.192125786237992e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3187296931047552 y1[1] (numeric) = -0.3187296931042846 absolute error = 4.706235401386039e-13 relative error = 1.476560076829511e-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) = -0.9481639091509967 y2[1] (numeric) = -0.948163909151394 absolute error = 3.973488205133435e-13 relative error = 4.190718679317133e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3177816882444621 y1[1] (numeric) = -0.3177816882439914 absolute error = 4.707345624410664e-13 relative error = 1.481314310593445e-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) = -0.9484812167043626 y2[1] (numeric) = -0.9484812167047598 absolute error = 3.97237798210881e-13 relative error = 4.188146177434511e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3168333656025072 y1[1] (numeric) = -0.3168333656020364 absolute error = 4.707900735922976e-13 relative error = 1.485923279251281e-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) = -0.9487975757765909 y2[1] (numeric) = -0.948797575776988 absolute error = 3.971267759084185e-13 relative error = 4.185579580379621e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3158847261272131 y1[1] (numeric) = -0.3158847261267422 absolute error = 4.709010958947601e-13 relative error = 1.490737148541708e-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) = -0.9491129860513223 y2[1] (numeric) = -0.9491129860517195 absolute error = 3.971267759084185e-13 relative error = 4.184188623955296e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3149357707672192 y1[1] (numeric) = -0.3149357707667483 absolute error = 4.709566070459914e-13 relative error = 1.495405256439075e-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) = -0.9494274472131469 y2[1] (numeric) = -0.949427447213544 absolute error = 3.971267759084185e-13 relative error = 4.182802773125047e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3139865004714809 y1[1] (numeric) = -0.3139865004710098 absolute error = 4.710676293484539e-13 relative error = 1.500279880316831e-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) = -0.9497409589476034 y2[1] (numeric) = -0.9497409589480004 absolute error = 3.97015753605956e-13 relative error = 4.180253045481838e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3130369161892681 y1[1] (numeric) = -0.313036916188797 absolute error = 4.711231404996852e-13 relative error = 1.505008247061938e-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) = -0.95005352094118 y2[1] (numeric) = -0.9500535209415769 absolute error = 3.969047313034935e-13 relative error = 4.177709176955587e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3120870188701653 y1[1] (numeric) = -0.3120870188696941 absolute error = 4.711786516509164e-13 relative error = 1.509766902054124e-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) = -0.9503651328813149 y2[1] (numeric) = -0.9503651328817118 absolute error = 3.969047313034935e-13 relative error = 4.176339362326547e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3111368094640696 y1[1] (numeric) = -0.3111368094635983 absolute error = 4.71289673953379e-13 relative error = 1.514734546404751e-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) = -0.9506757944563961 y2[1] (numeric) = -0.9506757944567928 absolute error = 3.967937090010309e-13 relative error = 4.173806794228107e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3101862889211904 y1[1] (numeric) = -0.310186288920719 absolute error = 4.713451851046102e-13 relative error = 1.519555189702037e-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) = -0.950985505355762 y2[1] (numeric) = -0.9509855053561588 absolute error = 3.967937090010309e-13 relative error = 4.172447495428346e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3092354581920481 y1[1] (numeric) = -0.3092354581915767 absolute error = 4.714562074070727e-13 relative error = 1.524586508169056e-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) = -0.9512942652697018 y2[1] (numeric) = -0.9512942652700985 absolute error = 3.966826866985684e-13 relative error = 4.169926185627796e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3082843182274734 y1[1] (numeric) = -0.3082843182270019 absolute error = 4.71511718558304e-13 relative error = 1.529470332027691e-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) = -0.9516020738894557 y2[1] (numeric) = -0.9516020738898523 absolute error = 3.965716643961059e-13 relative error = 4.167410678028579e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3073328699786061 y1[1] (numeric) = -0.3073328699781345 absolute error = 4.716227408607665e-13 relative error = 1.534566546343047e-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) = -0.951908930907215 y2[1] (numeric) = -0.9519089309076115 absolute error = 3.965716643961059e-13 relative error = 4.166067273033714e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3063811143968945 y1[1] (numeric) = -0.3063811143964228 absolute error = 4.716782520119978e-13 relative error = 1.539514773749967e-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) = -0.9522148360161227 y2[1] (numeric) = -0.9522148360165191 absolute error = 3.964606420936434e-13 relative error = 4.163562959724045e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.305429052434094 y1[1] (numeric) = -0.3054290524336223 absolute error = 4.71733763163229e-13 relative error = 1.54449538903972e-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) = -0.9525197889102737 y2[1] (numeric) = -0.9525197889106701 absolute error = 3.964606420936434e-13 relative error = 4.162229978940517e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3044766850422665 y1[1] (numeric) = -0.3044766850417948 absolute error = 4.717892743144603e-13 relative error = 1.549508706221522e-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) = -0.9528237892847152 y2[1] (numeric) = -0.9528237892851116 absolute error = 3.963496197911809e-13 relative error = 4.159736818585528e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3035240131737794 y1[1] (numeric) = -0.3035240131733076 absolute error = 4.718447854656915e-13 relative error = 1.554555043378205e-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) = -0.9531268368354469 y2[1] (numeric) = -0.9531268368358431 absolute error = 3.962385974887184e-13 relative error = 4.157249404542023e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3025710377813044 y1[1] (numeric) = -0.3025710377808325 absolute error = 4.719002966169228e-13 relative error = 1.559634722732478e-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) = -0.953428931259421 y2[1] (numeric) = -0.9534289312598172 absolute error = 3.962385974887184e-13 relative error = 4.155932178031472e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3016177598178168 y1[1] (numeric) = -0.3016177598173448 absolute error = 4.71955807768154e-13 relative error = 1.564748070714486e-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) = -0.9537300722545434 y2[1] (numeric) = -0.9537300722549396 absolute error = 3.961275751862559e-13 relative error = 4.153455854126956e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.3006641802365946 y1[1] (numeric) = -0.3006641802361225 absolute error = 4.720668300706166e-13 relative error = 1.570080046446318e-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) = -0.954030259519673 y2[1] (numeric) = -0.9540302595200691 absolute error = 3.961275751862559e-13 relative error = 4.152148962085278e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2997102999912171 y1[1] (numeric) = -0.299710299990745 absolute error = 4.721223412218478e-13 relative error = 1.575262315761865e-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) = -0.9543294927546226 y2[1] (numeric) = -0.9543294927550187 absolute error = 3.960165528837933e-13 relative error = 4.149683687766078e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2987561200355646 y1[1] (numeric) = -0.2987561200350924 absolute error = 4.721778523730791e-13 relative error = 1.580479262874581e-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) = -0.954627771660159 y2[1] (numeric) = -0.954627771660555 absolute error = 3.960165528837933e-13 relative error = 4.148387095371164e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.297801641323817 y1[1] (numeric) = -0.2978016413233447 absolute error = 4.722888746755416e-13 relative error = 1.585917634893068e-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) = -0.9549250959380032 y2[1] (numeric) = -0.9549250959383992 absolute error = 3.960165528837933e-13 relative error = 4.147095458778308e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2968468648104529 y1[1] (numeric) = -0.2968468648099806 absolute error = 4.723443858267729e-13 relative error = 1.591205573716877e-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) = -0.9552214652908312 y2[1] (numeric) = -0.9552214652912271 absolute error = 3.959055305813308e-13 relative error = 4.144646503110057e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2958917914502487 y1[1] (numeric) = -0.2958917914497763 absolute error = 4.724554081292354e-13 relative error = 1.596716846430916e-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) = -0.9555168794222734 y2[1] (numeric) = -0.9555168794226693 absolute error = 3.959055305813308e-13 relative error = 4.143365115859639e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2949364221982778 y1[1] (numeric) = -0.2949364221978052 absolute error = 4.725109192804666e-13 relative error = 1.602077206194664e-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) = -0.9558113380369158 y2[1] (numeric) = -0.9558113380373117 absolute error = 3.959055305813308e-13 relative error = 4.142088661497338e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2939807580099092 y1[1] (numeric) = -0.2939807580094366 absolute error = 4.726219415829291e-13 relative error = 1.607662844270231e-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) = -0.9561048408402998 y2[1] (numeric) = -0.9561048408406956 absolute error = 3.957945082788683e-13 relative error = 4.139655939101962e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.293024799840807 y1[1] (numeric) = -0.2930247998403344 absolute error = 4.726774527341604e-13 relative error = 1.613097092774926e-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) = -0.9563973875389227 y2[1] (numeric) = -0.9563973875393184 absolute error = 3.956834859764058e-13 relative error = 4.137228845789822e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2920685486469295 y1[1] (numeric) = -0.2920685486464568 absolute error = 4.727884750366229e-13 relative error = 1.618758600427596e-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) = -0.9566889778402377 y2[1] (numeric) = -0.9566889778406333 absolute error = 3.956834859764058e-13 relative error = 4.135967855192359e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2911120053845277 y1[1] (numeric) = -0.2911120053840549 absolute error = 4.728439861878542e-13 relative error = 1.624268245355522e-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) = -0.9569796114526545 y2[1] (numeric) = -0.9569796114530502 absolute error = 3.956834859764058e-13 relative error = 4.134711766489727e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2901551710101447 y1[1] (numeric) = -0.2901551710096718 absolute error = 4.728994973390854e-13 relative error = 1.629815852299773e-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) = -0.9572692880855398 y2[1] (numeric) = -0.9572692880859354 absolute error = 3.955724636739433e-13 relative error = 4.132300791400671e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2891980464806149 y1[1] (numeric) = -0.2891980464801419 absolute error = 4.730105196415479e-13 relative error = 1.635593757972546e-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) = -0.9575580074492166 y2[1] (numeric) = -0.9575580074496122 absolute error = 3.955724636739433e-13 relative error = 4.131054835285497e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2882406327530628 y1[1] (numeric) = -0.2882406327525897 absolute error = 4.731215419440105e-13 relative error = 1.641411682402655e-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) = -0.9578457692549659 y2[1] (numeric) = -0.9578457692553614 absolute error = 3.954614413714808e-13 relative error = 4.128654675575584e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2872829307849019 y1[1] (numeric) = -0.2872829307844287 absolute error = 4.731770530952417e-13 relative error = 1.647076809619172e-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) = -0.9581325732150257 y2[1] (numeric) = -0.9581325732154211 absolute error = 3.954614413714808e-13 relative error = 4.127418818927166e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2863249415338341 y1[1] (numeric) = -0.2863249415333609 absolute error = 4.73232564246473e-13 relative error = 1.652781492633441e-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) = -0.9584184190425921 y2[1] (numeric) = -0.9584184190429875 absolute error = 3.954614413714808e-13 relative error = 4.126187826883849e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2853666659578487 y1[1] (numeric) = -0.2853666659573754 absolute error = 4.732880753977042e-13 relative error = 1.658526141478673e-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) = -0.9587033064518193 y2[1] (numeric) = -0.9587033064522147 absolute error = 3.953504190690182e-13 relative error = 4.123803646116735e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2844081050152211 y1[1] (numeric) = -0.2844081050147477 absolute error = 4.733990977001667e-13 relative error = 1.664506353202667e-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) = -0.95898723515782 y2[1] (numeric) = -0.9589872351582154 absolute error = 3.953504190690182e-13 relative error = 4.122582705743269e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2834492596645121 y1[1] (numeric) = -0.2834492596640387 absolute error = 4.73454608851398e-13 relative error = 1.670332846915086e-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) = -0.9592702048766655 y2[1] (numeric) = -0.9592702048770608 absolute error = 3.953504190690182e-13 relative error = 4.121366608273306e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2824901308645671 y1[1] (numeric) = -0.2824901308640936 absolute error = 4.735101200026293e-13 relative error = 1.676200575763271e-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) = -0.9595522153253859 y2[1] (numeric) = -0.9595522153257813 absolute error = 3.953504190690182e-13 relative error = 4.120155346991244e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2815307195745149 y1[1] (numeric) = -0.2815307195740413 absolute error = 4.735656311538605e-13 relative error = 1.682109973183649e-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) = -0.9598332662219711 y2[1] (numeric) = -0.9598332662223664 absolute error = 3.953504190690182e-13 relative error = 4.118948915212837e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2805710267537665 y1[1] (numeric) = -0.2805710267532928 absolute error = 4.73676653456323e-13 relative error = 1.688259329328502e-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) = -0.9601133572853701 y2[1] (numeric) = -0.9601133572857653 absolute error = 3.952393967665557e-13 relative error = 4.116590960509682e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2796110533620147 y1[1] (numeric) = -0.279611053361541 absolute error = 4.737321646075543e-13 relative error = 1.694254067968513e-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) = -0.9603924882354916 y2[1] (numeric) = -0.9603924882358869 absolute error = 3.952393967665557e-13 relative error = 4.115394503894137e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2786508003592329 y1[1] (numeric) = -0.2786508003587591 absolute error = 4.738431869100168e-13 relative error = 1.700491031424078e-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) = -0.960670658793205 y2[1] (numeric) = -0.9606706587936003 absolute error = 3.952393967665557e-13 relative error = 4.114202855566086e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2776902687056739 y1[1] (numeric) = -0.2776902687052 absolute error = 4.738431869100168e-13 relative error = 1.706373036111852e-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) = -0.9609478686803398 y2[1] (numeric) = -0.9609478686807349 absolute error = 3.951283744640932e-13 relative error = 4.111860667392073e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2767294593618694 y1[1] (numeric) = -0.2767294593613954 absolute error = 4.739542092124793e-13 relative error = 1.71269878640823e-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) = -0.9612241176196858 y2[1] (numeric) = -0.961224117620081 absolute error = 3.951283744640932e-13 relative error = 4.110678948033097e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2757683732886285 y1[1] (numeric) = -0.2757683732881545 absolute error = 4.740097203637106e-13 relative error = 1.718869044738484e-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) = -0.9614994053349945 y2[1] (numeric) = -0.9614994053353895 absolute error = 3.950173521616307e-13 relative error = 4.108347337188455e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2748070114470373 y1[1] (numeric) = -0.2748070114465633 absolute error = 4.740652315149418e-13 relative error = 1.725084192789262e-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) = -0.9617737315509778 y2[1] (numeric) = -0.9617737315513728 absolute error = 3.950173521616307e-13 relative error = 4.107175515436639e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2738453747984577 y1[1] (numeric) = -0.2738453747979835 absolute error = 4.741762538174044e-13 relative error = 1.731547425865361e-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) = -0.9620470959933097 y2[1] (numeric) = -0.9620470959937047 absolute error = 3.950173521616307e-13 relative error = 4.106008466807718e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.272883464304526 y1[1] (numeric) = -0.2728834643040517 absolute error = 4.742317649686356e-13 relative error = 1.737854531337281e-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) = -0.9623194983886258 y2[1] (numeric) = -0.9623194983890209 absolute error = 3.950173521616307e-13 relative error = 4.104846184900909e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2719212809271527 y1[1] (numeric) = -0.2719212809266784 absolute error = 4.742872761198669e-13 relative error = 1.744208009401543e-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) = -0.9625909384645238 y2[1] (numeric) = -0.9625909384649187 absolute error = 3.949063298591682e-13 relative error = 4.10253529385081e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2709588256285212 y1[1] (numeric) = -0.2709588256280469 absolute error = 4.743982984223294e-13 relative error = 1.750813236372375e-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) = -0.9628614159495634 y2[1] (numeric) = -0.9628614159499583 absolute error = 3.949063298591682e-13 relative error = 4.10138285030059e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2699960993710867 y1[1] (numeric) = -0.2699960993706122 absolute error = 4.745093207247919e-13 relative error = 1.757467318343067e-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) = -0.9631309305732675 y2[1] (numeric) = -0.9631309305736623 absolute error = 3.947953075567057e-13 relative error = 4.099082430274756e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2690331031175753 y1[1] (numeric) = -0.2690331031171007 absolute error = 4.745648318760232e-13 relative error = 1.763964457818503e-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) = -0.9633994820661211 y2[1] (numeric) = -0.9633994820665159 absolute error = 3.947953075567057e-13 relative error = 4.097939794507899e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2680698378309831 y1[1] (numeric) = -0.2680698378305085 absolute error = 4.746203430272544e-13 relative error = 1.770510053900583e-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) = -0.963667070159573 y2[1] (numeric) = -0.9636670701599678 absolute error = 3.947953075567057e-13 relative error = 4.096801891252046e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2671063044745755 y1[1] (numeric) = -0.2671063044741008 absolute error = 4.746758541784857e-13 relative error = 1.777104644206059e-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) = -0.963933694586035 y2[1] (numeric) = -0.9639336945864297 absolute error = 3.947953075567057e-13 relative error = 4.095668714291101e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2661425040118857 y1[1] (numeric) = -0.2661425040114109 absolute error = 4.747868764809482e-13 relative error = 1.783957351133003e-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) = -0.9641993550788828 y2[1] (numeric) = -0.9641993550792775 absolute error = 3.946842852542432e-13 relative error = 4.093388811922129e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.265178437406714 y1[1] (numeric) = -0.2651784374062392 absolute error = 4.748423876321795e-13 relative error = 1.790652333107673e-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) = -0.9644640513724558 y2[1] (numeric) = -0.9644640513728504 absolute error = 3.945732629517806e-13 relative error = 4.091114255531798e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2642141056231271 y1[1] (numeric) = -0.2642141056226521 absolute error = 4.74953409934642e-13 relative error = 1.797608075520812e-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) = -0.9647277832020579 y2[1] (numeric) = -0.9647277832024524 absolute error = 3.945732629517806e-13 relative error = 4.089995849835902e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2632495096254565 y1[1] (numeric) = -0.2632495096249815 absolute error = 4.74953409934642e-13 relative error = 1.804194851532265e-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) = -0.9649905503039571 y2[1] (numeric) = -0.9649905503043517 absolute error = 3.945732629517806e-13 relative error = 4.088882143224057e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2622846503782982 y1[1] (numeric) = -0.2622846503778232 absolute error = 4.750644322371045e-13 relative error = 1.81125518230636e-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) = -0.9652523524153864 y2[1] (numeric) = -0.965252352415781 absolute error = 3.945732629517806e-13 relative error = 4.087773129632116e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2613195288465114 y1[1] (numeric) = -0.2613195288460363 absolute error = 4.751199433883357e-13 relative error = 1.818157048903154e-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) = -0.9655131892745438 y2[1] (numeric) = -0.9655131892749383 absolute error = 3.945732629517806e-13 relative error = 4.086668803025369e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2603541459952176 y1[1] (numeric) = -0.2603541459947424 absolute error = 4.75175454539567e-13 relative error = 1.825111917166457e-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) = -0.9657730606205923 y2[1] (numeric) = -0.9657730606209869 absolute error = 3.945732629517806e-13 relative error = 4.085569157398461e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2593885027897994 y1[1] (numeric) = -0.2593885027893241 absolute error = 4.752864768420295e-13 relative error = 1.832334400831895e-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) = -0.9660319661936607 y2[1] (numeric) = -0.9660319661940553 absolute error = 3.945732629517806e-13 relative error = 4.08447418677531e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2584226001959001 y1[1] (numeric) = -0.2584226001954247 absolute error = 4.753419879932608e-13 relative error = 1.839397899537125e-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) = -0.9662899057348434 y2[1] (numeric) = -0.966289905735238 absolute error = 3.945732629517806e-13 relative error = 4.083383885209024e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2574564391794221 y1[1] (numeric) = -0.2574564391789467 absolute error = 4.75397499144492e-13 relative error = 1.846516252068515e-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) = -0.966546878986201 y2[1] (numeric) = -0.9665468789865954 absolute error = 3.944622406493181e-13 relative error = 4.08114959786601e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2564900207065264 y1[1] (numeric) = -0.2564900207060509 absolute error = 4.755085214469545e-13 relative error = 1.853906519002652e-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) = -0.96680288569076 y2[1] (numeric) = -0.9668028856911545 absolute error = 3.944622406493181e-13 relative error = 4.080068920848155e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2555233457436313 y1[1] (numeric) = -0.2555233457431558 absolute error = 4.755085214469545e-13 relative error = 1.860920066082871e-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) = -0.9670579255925139 y2[1] (numeric) = -0.9670579255929084 absolute error = 3.944622406493181e-13 relative error = 4.078992893912039e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2545564152574118 y1[1] (numeric) = -0.2545564152569362 absolute error = 4.756195437494171e-13 relative error = 1.868424896180528e-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) = -0.9673119984364228 y2[1] (numeric) = -0.9673119984368173 absolute error = 3.944622406493181e-13 relative error = 4.077921511228359e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2535892302147982 y1[1] (numeric) = -0.2535892302143226 absolute error = 4.756750549006483e-13 relative error = 1.875769939037775e-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) = -0.9675651039684139 y2[1] (numeric) = -0.9675651039688083 absolute error = 3.944622406493181e-13 relative error = 4.076854766996592e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2526217915829756 y1[1] (numeric) = -0.2526217915824999 absolute error = 4.757305660518796e-13 relative error = 1.883173114523741e-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) = -0.9678172419353817 y2[1] (numeric) = -0.9678172419357761 absolute error = 3.944622406493181e-13 relative error = 4.075792655444913e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2516541003293825 y1[1] (numeric) = -0.2516541003289066 absolute error = 4.758415883543421e-13 relative error = 1.890855693316848e-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) = -0.9680684120851881 y2[1] (numeric) = -0.9680684120855826 absolute error = 3.944622406493181e-13 relative error = 4.074735170830119e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.25068615742171 y1[1] (numeric) = -0.250686157421234 absolute error = 4.759526106568046e-13 relative error = 1.898599490103262e-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) = -0.9683186141666632 y2[1] (numeric) = -0.9683186141670577 absolute error = 3.944622406493181e-13 relative error = 4.073682307437548e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2497179638279009 y1[1] (numeric) = -0.2497179638274249 absolute error = 4.760081218080359e-13 relative error = 1.90618293738807e-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) = -0.9685678479296048 y2[1] (numeric) = -0.9685678479299993 absolute error = 3.944622406493181e-13 relative error = 4.072634059581002e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2487495205161488 y1[1] (numeric) = -0.2487495205156728 absolute error = 4.760636329592671e-13 relative error = 1.91382733912993e-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) = -0.9688161131247792 y2[1] (numeric) = -0.9688161131251736 absolute error = 3.943512183468556e-13 relative error = 4.07044446313895e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.247780828454897 y1[1] (numeric) = -0.2477808284544208 absolute error = 4.761191441104984e-13 relative error = 1.921533425646631e-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) = -0.9690634095039211 y2[1] (numeric) = -0.9690634095043156 absolute error = 3.944622406493181e-13 relative error = 4.070551387873056e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2468118886128373 y1[1] (numeric) = -0.2468118886123611 absolute error = 4.762024108373453e-13 relative error = 1.929414395367083e-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) = -0.9693097368197344 y2[1] (numeric) = -0.9693097368201288 absolute error = 3.943512183468556e-13 relative error = 4.068371577909717e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2458427019589096 y1[1] (numeric) = -0.2458427019584333 absolute error = 4.762856775641922e-13 relative error = 1.937359432552116e-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) = -0.9695550948258915 y2[1] (numeric) = -0.969555094826286 absolute error = 3.944622406493181e-13 relative error = 4.068487110783054e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2448732694623004 y1[1] (numeric) = -0.2448732694618241 absolute error = 4.763411887154234e-13 relative error = 1.945255967551651e-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) = -0.9697994832770347 y2[1] (numeric) = -0.9697994832774292 absolute error = 3.944622406493181e-13 relative error = 4.06746185630453e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2439035920924422 y1[1] (numeric) = -0.2439035920919658 absolute error = 4.764244554422703e-13 relative error = 1.953331032786512e-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) = -0.9700429019287754 y2[1] (numeric) = -0.9700429019291699 absolute error = 3.944622406493181e-13 relative error = 4.066441183838292e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2429336708190122 y1[1] (numeric) = -0.2429336708185357 absolute error = 4.764799665935016e-13 relative error = 1.961358279348948e-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) = -0.970285350537695 y2[1] (numeric) = -0.9702853505380894 absolute error = 3.943512183468556e-13 relative error = 4.064280864678841e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2419635066119316 y1[1] (numeric) = -0.241963506611455 absolute error = 4.765632333203484e-13 relative error = 1.969566568088612e-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) = -0.970526828861345 y2[1] (numeric) = -0.9705268288617392 absolute error = 3.942401960443931e-13 relative error = 4.06212568597335e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2409931004413646 y1[1] (numeric) = -0.240993100440888 absolute error = 4.766187444715797e-13 relative error = 1.977727759005054e-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) = -0.9707673366582469 y2[1] (numeric) = -0.9707673366586411 absolute error = 3.942401960443931e-13 relative error = 4.061119293542765e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2400224532777172 y1[1] (numeric) = -0.2400224532772405 absolute error = 4.767020111984266e-13 relative error = 1.986072572330806e-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) = -0.9710068736878931 y2[1] (numeric) = -0.9710068736882873 absolute error = 3.942401960443931e-13 relative error = 4.060117458767982e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2390515660916365 y1[1] (numeric) = -0.2390515660911598 absolute error = 4.767575223496578e-13 relative error = 1.994371047821961e-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) = -0.9712454397107465 y2[1] (numeric) = -0.9712454397111407 absolute error = 3.942401960443931e-13 relative error = 4.059120176273925e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2380804398540097 y1[1] (numeric) = -0.2380804398535329 absolute error = 4.768407890765047e-13 relative error = 2.002855796842875e-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) = -0.9714830344882411 y2[1] (numeric) = -0.9714830344886354 absolute error = 3.942401960443931e-13 relative error = 4.058127440713067e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2371090755359629 y1[1] (numeric) = -0.2371090755354859 absolute error = 4.769240558033516e-13 relative error = 2.011412067316738e-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) = -0.9717196577827822 y2[1] (numeric) = -0.9717196577831765 absolute error = 3.942401960443931e-13 relative error = 4.05713924676536e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2361374741088602 y1[1] (numeric) = -0.2361374741083832 absolute error = 4.770073225301985e-13 relative error = 2.02004075943616e-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) = -0.9719553093577465 y2[1] (numeric) = -0.9719553093581408 absolute error = 3.942401960443931e-13 relative error = 4.056155589138158e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2351656365443032 y1[1] (numeric) = -0.2351656365438261 absolute error = 4.770628336814298e-13 relative error = 2.0286247629192e-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) = -0.9721899889774824 y2[1] (numeric) = -0.9721899889778767 absolute error = 3.942401960443931e-13 relative error = 4.055176462566149e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2341935638141292 y1[1] (numeric) = -0.234193563813652 absolute error = 4.771461004082767e-13 relative error = 2.037400570012974e-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) = -0.9724236964073104 y2[1] (numeric) = -0.9724236964077047 absolute error = 3.942401960443931e-13 relative error = 4.054201861811286e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2332212568904109 y1[1] (numeric) = -0.2332212568899337 absolute error = 4.772016115595079e-13 relative error = 2.046132577802468e-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) = -0.972656431413523 y2[1] (numeric) = -0.9726564314139172 absolute error = 3.942401960443931e-13 relative error = 4.053231781662714e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2322487167454551 y1[1] (numeric) = -0.2322487167449779 absolute error = 4.772848782863548e-13 relative error = 2.055059269969873e-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) = -0.9728881937633852 y2[1] (numeric) = -0.9728881937637794 absolute error = 3.942401960443931e-13 relative error = 4.052266216936699e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.231275944351802 y1[1] (numeric) = -0.2312759443513246 absolute error = 4.773403894375861e-13 relative error = 2.063943099553349e-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) = -0.9731189832251348 y2[1] (numeric) = -0.9731189832255289 absolute error = 3.941291737419306e-13 relative error = 4.050164271132581e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2303029406822238 y1[1] (numeric) = -0.2303029406817464 absolute error = 4.773959005888173e-13 relative error = 2.072904059212761e-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) = -0.9733487995679821 y2[1] (numeric) = -0.9733487995683763 absolute error = 3.941291737419306e-13 relative error = 4.049207991183259e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.229329706709724 y1[1] (numeric) = -0.2293297067092466 absolute error = 4.774514117400486e-13 relative error = 2.081943148971915e-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) = -0.9735776425621111 y2[1] (numeric) = -0.9735776425625052 absolute error = 3.941291737419306e-13 relative error = 4.048256210000082e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2283562434075367 y1[1] (numeric) = -0.2283562434070592 absolute error = 4.775346784668955e-13 relative error = 2.09118293128803e-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) = -0.9738055119786787 y2[1] (numeric) = -0.9738055119790727 absolute error = 3.940181514394681e-13 relative error = 4.046168835488118e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.227382551749125 y1[1] (numeric) = -0.2273825517486474 absolute error = 4.776179451937423e-13 relative error = 2.100503937174151e-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) = -0.9740324075898154 y2[1] (numeric) = -0.9740324075902094 absolute error = 3.940181514394681e-13 relative error = 4.045226302217626e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2264086327081805 y1[1] (numeric) = -0.2264086327077028 absolute error = 4.777012119205892e-13 relative error = 2.109907233688838e-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) = -0.9742583291686256 y2[1] (numeric) = -0.9742583291690197 absolute error = 3.940181514394681e-13 relative error = 4.044288251307021e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2254344872586222 y1[1] (numeric) = -0.2254344872581444 absolute error = 4.777567230718205e-13 relative error = 2.119270786300457e-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) = -0.974483276489188 y2[1] (numeric) = -0.974483276489582 absolute error = 3.940181514394681e-13 relative error = 4.043354677763315e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2244601163745954 y1[1] (numeric) = -0.2244601163741176 absolute error = 4.778399897986674e-13 relative error = 2.128841406288916e-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) = -0.9747072493265549 y2[1] (numeric) = -0.974707249326949 absolute error = 3.940181514394681e-13 relative error = 4.04242557662009e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2234855210304709 y1[1] (numeric) = -0.223485521029993 absolute error = 4.779232565255143e-13 relative error = 2.138497627595088e-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) = -0.9749302474567538 y2[1] (numeric) = -0.9749302474571478 absolute error = 3.940181514394681e-13 relative error = 4.041500942937417e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.222510702200844 y1[1] (numeric) = -0.2225107022003661 absolute error = 4.779787676767455e-13 relative error = 2.148115856671511e-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) = -0.9751522706567866 y2[1] (numeric) = -0.9751522706571806 absolute error = 3.940181514394681e-13 relative error = 4.040580771801804e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2215356608605335 y1[1] (numeric) = -0.2215356608600554 absolute error = 4.780620344035924e-13 relative error = 2.157946185939579e-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) = -0.9753733187046298 y2[1] (numeric) = -0.9753733187050239 absolute error = 3.940181514394681e-13 relative error = 4.039665058326121e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2205603979845805 y1[1] (numeric) = -0.2205603979841024 absolute error = 4.781175455548237e-13 relative error = 2.167739766176197e-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) = -0.9755933913792357 y2[1] (numeric) = -0.9755933913796297 absolute error = 3.940181514394681e-13 relative error = 4.038753797649538e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.219584914548248 y1[1] (numeric) = -0.2195849145477698 absolute error = 4.781730567060549e-13 relative error = 2.177622527894506e-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) = -0.9758124884605315 y2[1] (numeric) = -0.9758124884609255 absolute error = 3.940181514394681e-13 relative error = 4.037846984937464e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2186092115270192 y1[1] (numeric) = -0.2186092115265409 absolute error = 4.782563234329018e-13 relative error = 2.187722649435526e-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) = -0.9760306097294201 y2[1] (numeric) = -0.9760306097298141 absolute error = 3.940181514394681e-13 relative error = 4.036944615381475e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2176332898965971 y1[1] (numeric) = -0.2176332898961188 absolute error = 4.783395901597487e-13 relative error = 2.197915541262183e-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) = -0.9762477549677805 y2[1] (numeric) = -0.9762477549681744 absolute error = 3.939071291370055e-13 relative error = 4.034909449292468e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2166571506329032 y1[1] (numeric) = -0.2166571506324248 absolute error = 4.7839510131098e-13 relative error = 2.208074369636463e-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) = -0.976463923958467 y2[1] (numeric) = -0.9764639239588611 absolute error = 3.940181514394681e-13 relative error = 4.035153186634545e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2156807947120768 y1[1] (numeric) = -0.2156807947115983 absolute error = 4.784783680378268e-13 relative error = 2.218456069195089e-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) = -0.9766791164853111 y2[1] (numeric) = -0.9766791164857052 absolute error = 3.940181514394681e-13 relative error = 4.034264117957046e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2147042231104736 y1[1] (numeric) = -0.2147042231099951 absolute error = 4.785338791890581e-13 relative error = 2.22880515462816e-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) = -0.9768933323331201 y2[1] (numeric) = -0.9768933323335142 absolute error = 3.940181514394681e-13 relative error = 4.033379473462391e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2137274368046652 y1[1] (numeric) = -0.2137274368041866 absolute error = 4.78617145915905e-13 relative error = 2.239380928679428e-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) = -0.9771065712876782 y2[1] (numeric) = -0.9771065712880722 absolute error = 3.940181514394681e-13 relative error = 4.032499248472067e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2127504367714378 y1[1] (numeric) = -0.2127504367709591 absolute error = 4.786726570671362e-13 relative error = 2.249925613931332e-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) = -0.9773188331357463 y2[1] (numeric) = -0.9773188331361404 absolute error = 3.941291737419306e-13 relative error = 4.032759426904315e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2117732239877914 y1[1] (numeric) = -0.2117732239873126 absolute error = 4.787281682183675e-13 relative error = 2.260569864327919e-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) = -0.9775301176650628 y2[1] (numeric) = -0.9775301176654569 absolute error = 3.941291737419306e-13 relative error = 4.031887781456299e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2107957994309386 y1[1] (numeric) = -0.2107957994304598 absolute error = 4.788114349452144e-13 relative error = 2.271446756708659e-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) = -0.9777404246643431 y2[1] (numeric) = -0.9777404246647372 absolute error = 3.941291737419306e-13 relative error = 4.031020542872967e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2098181640783039 y1[1] (numeric) = -0.2098181640778251 absolute error = 4.788669460964456e-13 relative error = 2.282294996717886e-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) = -0.9779497539232802 y2[1] (numeric) = -0.9779497539236743 absolute error = 3.941291737419306e-13 relative error = 4.030157706577325e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2088403189075227 y1[1] (numeric) = -0.2088403189070438 absolute error = 4.789502128232925e-13 relative error = 2.293380010760174e-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) = -0.9781581052325449 y2[1] (numeric) = -0.978158105232939 absolute error = 3.941291737419306e-13 relative error = 4.029299268017937e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.20786226489644 y1[1] (numeric) = -0.207862264895961 absolute error = 4.790057239745238e-13 relative error = 2.304438105748398e-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) = -0.9783654783837857 y2[1] (numeric) = -0.97836547838418 absolute error = 3.942401960443931e-13 relative error = 4.029579995971031e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2068840030231097 y1[1] (numeric) = -0.2068840030226306 absolute error = 4.790889907013707e-13 relative error = 2.315737242612493e-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) = -0.9785718731696298 y2[1] (numeric) = -0.978571873170024 absolute error = 3.942401960443931e-13 relative error = 4.028730099991887e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2059055342657936 y1[1] (numeric) = -0.2059055342653144 absolute error = 4.791445018526019e-13 relative error = 2.327011284864725e-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) = -0.9787772893836824 y2[1] (numeric) = -0.9787772893840765 absolute error = 3.941291737419306e-13 relative error = 4.026750293625083e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2049268596029603 y1[1] (numeric) = -0.2049268596024811 absolute error = 4.792000130038332e-13 relative error = 2.338395337401202e-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) = -0.978981726820527 y2[1] (numeric) = -0.9789817268209211 absolute error = 3.941291737419306e-13 relative error = 4.025909401005447e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2039479800132846 y1[1] (numeric) = -0.2039479800128053 absolute error = 4.792832797306801e-13 relative error = 2.35002709857416e-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) = -0.9791851852757264 y2[1] (numeric) = -0.9791851852761205 absolute error = 3.941291737419306e-13 relative error = 4.02507288374618e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2029688964756459 y1[1] (numeric) = -0.2029688964751665 absolute error = 4.793387908819113e-13 relative error = 2.361636680324697e-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) = -0.979387664545822 y2[1] (numeric) = -0.9793876645462163 absolute error = 3.942401960443931e-13 relative error = 4.025374326388077e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2019896099691275 y1[1] (numeric) = -0.2019896099686481 absolute error = 4.793943020331426e-13 relative error = 2.373361194699143e-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) = -0.9795891644283349 y2[1] (numeric) = -0.9795891644287291 absolute error = 3.942401960443931e-13 relative error = 4.024546313499316e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2010101214730161 y1[1] (numeric) = -0.2010101214725366 absolute error = 4.794775687599895e-13 relative error = 2.38534042587679e-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) = -0.9797896847217649 y2[1] (numeric) = -0.9797896847221591 absolute error = 3.942401960443931e-13 relative error = 4.02372266407711e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.2000304319667999 y1[1] (numeric) = -0.2000304319663204 absolute error = 4.795330799112207e-13 relative error = 2.397300626690699e-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) = -0.9799892252255918 y2[1] (numeric) = -0.9799892252259861 absolute error = 3.942401960443931e-13 relative error = 4.022903373796173e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1990505424301685 y1[1] (numeric) = -0.1990505424296889 absolute error = 4.79588591062452e-13 relative error = 2.409380980364336e-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) = -0.9801877857402752 y2[1] (numeric) = -0.9801877857406694 absolute error = 3.942401960443931e-13 relative error = 4.022088438356206e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1980704538430112 y1[1] (numeric) = -0.1980704538425315 absolute error = 4.796718577892989e-13 relative error = 2.421723424582459e-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) = -0.9803853660672545 y2[1] (numeric) = -0.9803853660676488 absolute error = 3.943512183468556e-13 relative error = 4.022410288810891e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1970901671854165 y1[1] (numeric) = -0.1970901671849368 absolute error = 4.797273689405301e-13 relative error = 2.43405024102099e-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) = -0.9805819660089494 y2[1] (numeric) = -0.9805819660093438 absolute error = 3.943512183468556e-13 relative error = 4.021603823206111e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1961096834376711 y1[1] (numeric) = -0.1961096834371913 absolute error = 4.79810635667377e-13 relative error = 2.446644282202789e-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) = -0.98077758536876 y2[1] (numeric) = -0.9807775853691544 absolute error = 3.943512183468556e-13 relative error = 4.020801700913511e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1951290035802586 y1[1] (numeric) = -0.1951290035797787 absolute error = 4.798661468186083e-13 relative error = 2.459225117814094e-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) = -0.9809722239510671 y2[1] (numeric) = -0.9809722239514614 absolute error = 3.943512183468556e-13 relative error = 4.020003917730974e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1941481285938588 y1[1] (numeric) = -0.1941481285933788 absolute error = 4.799494135454552e-13 relative error = 2.472078495021027e-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) = -0.9811658815612319 y2[1] (numeric) = -0.9811658815616262 absolute error = 3.943512183468556e-13 relative error = 4.0192104694811e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1931670594593465 y1[1] (numeric) = -0.1931670594588665 absolute error = 4.800326802723021e-13 relative error = 2.485064905040544e-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) = -0.9813585580055969 y2[1] (numeric) = -0.9813585580059913 absolute error = 3.943512183468556e-13 relative error = 4.018421352011143e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1921857971577909 y1[1] (numeric) = -0.1921857971573108 absolute error = 4.801159469991489e-13 relative error = 2.498186411792739e-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) = -0.9815502530914857 y2[1] (numeric) = -0.98155025309188 absolute error = 3.943512183468556e-13 relative error = 4.01763656119296e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1912043426704542 y1[1] (numeric) = -0.191204342669974 absolute error = 4.801714581503802e-13 relative error = 2.511299960262767e-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) = -0.9817409666272031 y2[1] (numeric) = -0.9817409666275976 absolute error = 3.944622406493181e-13 relative error = 4.017986964570742e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1902226969787907 y1[1] (numeric) = -0.1902226969783105 absolute error = 4.802269693016115e-13 relative error = 2.524551364946505e-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) = -0.9819306984220358 y2[1] (numeric) = -0.9819306984224303 absolute error = 3.944622406493181e-13 relative error = 4.017210596259181e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1892408610644461 y1[1] (numeric) = -0.1892408610639658 absolute error = 4.802824804528427e-13 relative error = 2.537942798142745e-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) = -0.9821194482862519 y2[1] (numeric) = -0.9821194482866464 absolute error = 3.945732629517806e-13 relative error = 4.017568979417837e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1882588359092562 y1[1] (numeric) = -0.1882588359087758 absolute error = 4.80337991604074e-13 relative error = 2.551476478031579e-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) = -0.9823072160311015 y2[1] (numeric) = -0.9823072160314961 absolute error = 3.945732629517806e-13 relative error = 4.016801022250536e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1872766224952461 y1[1] (numeric) = -0.1872766224947656 absolute error = 4.804212583309209e-13 relative error = 2.56530287619383e-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) = -0.9824940014688169 y2[1] (numeric) = -0.9824940014692115 absolute error = 3.945732629517806e-13 relative error = 4.016037373886235e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.186294221804629 y1[1] (numeric) = -0.1862942218041486 absolute error = 4.804767694821521e-13 relative error = 2.579128675209471e-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) = -0.9826798044126128 y2[1] (numeric) = -0.9826798044130074 absolute error = 3.945732629517806e-13 relative error = 4.015278030341052e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1853116348198058 y1[1] (numeric) = -0.1853116348193252 absolute error = 4.80560036208999e-13 relative error = 2.593253449392362e-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) = -0.9828646246766861 y2[1] (numeric) = -0.9828646246770807 absolute error = 3.945732629517806e-13 relative error = 4.014522987655352e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1843288625233631 y1[1] (numeric) = -0.1843288625228825 absolute error = 4.806155473602303e-13 relative error = 2.607380856046425e-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) = -0.9830484620762167 y2[1] (numeric) = -0.9830484620766112 absolute error = 3.945732629517806e-13 relative error = 4.013772241893696e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1833459058980733 y1[1] (numeric) = -0.1833459058975926 absolute error = 4.806988140870772e-13 relative error = 2.621813733622773e-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) = -0.9832313164273672 y2[1] (numeric) = -0.9832313164277616 absolute error = 3.944622406493181e-13 relative error = 4.011896631635183e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1823627659268928 y1[1] (numeric) = -0.182362765926412 absolute error = 4.807543252383084e-13 relative error = 2.636252651657178e-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) = -0.983413187547283 y2[1] (numeric) = -0.9834131875476776 absolute error = 3.945732629517806e-13 relative error = 4.012283625521438e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1813794435929616 y1[1] (numeric) = -0.1813794435924808 absolute error = 4.808375919651553e-13 relative error = 2.651003787640983e-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) = -0.9835940752540934 y2[1] (numeric) = -0.9835940752544879 absolute error = 3.945732629517806e-13 relative error = 4.011545747160483e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.180395939879602 y1[1] (numeric) = -0.1803959398791211 absolute error = 4.808931031163866e-13 relative error = 2.665764558988076e-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) = -0.9837739793669104 y2[1] (numeric) = -0.9837739793673049 absolute error = 3.945732629517806e-13 relative error = 4.010812150222768e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1794122557703174 y1[1] (numeric) = -0.1794122557698365 absolute error = 4.809486142676178e-13 relative error = 2.680689857014704e-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) = -0.98395289970583 y2[1] (numeric) = -0.9839528997062246 absolute error = 3.945732629517806e-13 relative error = 4.010082830893076e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1784283922487921 y1[1] (numeric) = -0.1784283922483111 absolute error = 4.810041254188491e-13 relative error = 2.69578243325849e-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) = -0.984130836091932 y2[1] (numeric) = -0.9841308360923265 absolute error = 3.945732629517806e-13 relative error = 4.009357785380092e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1774443502988894 y1[1] (numeric) = -0.1774443502984083 absolute error = 4.81087392145696e-13 relative error = 2.711201519436074e-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) = -0.9843077883472798 y2[1] (numeric) = -0.9843077883476744 absolute error = 3.945732629517806e-13 relative error = 4.008637009916341e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1764601309046512 y1[1] (numeric) = -0.17646013090417 absolute error = 4.811706588725428e-13 relative error = 2.726795318612449e-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) = -0.9844837562949214 y2[1] (numeric) = -0.9844837562953159 absolute error = 3.945732629517806e-13 relative error = 4.007920500758151e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1754757350502968 y1[1] (numeric) = -0.1754757350498156 absolute error = 4.812261700237741e-13 relative error = 2.742408629237768e-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) = -0.9846587397588886 y2[1] (numeric) = -0.9846587397592832 absolute error = 3.945732629517806e-13 relative error = 4.007208254185597e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1744911637202219 y1[1] (numeric) = -0.1744911637197407 absolute error = 4.812816811750054e-13 relative error = 2.758200879138438e-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) = -0.9848327385641982 y2[1] (numeric) = -0.9848327385645927 absolute error = 3.945732629517806e-13 relative error = 4.006500266502459e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1735064178989979 y1[1] (numeric) = -0.1735064178985166 absolute error = 4.813371923262366e-13 relative error = 2.774175146687854e-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) = -0.9850057525368512 y2[1] (numeric) = -0.9850057525372459 absolute error = 3.946842852542432e-13 relative error = 4.00692365742785e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1725214985713704 y1[1] (numeric) = -0.172521498570889 absolute error = 4.814204590530835e-13 relative error = 2.790495463114266e-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) = -0.9851777815038338 y2[1] (numeric) = -0.9851777815042285 absolute error = 3.946842852542432e-13 relative error = 4.006223979714338e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1715364067222588 y1[1] (numeric) = -0.1715364067217773 absolute error = 4.814759702043148e-13 relative error = 2.806844211117767e-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) = -0.9853488252931171 y2[1] (numeric) = -0.9853488252935118 absolute error = 3.946842852542432e-13 relative error = 4.005528551138571e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1705511433367547 y1[1] (numeric) = -0.1705511433362732 absolute error = 4.81531481355546e-13 relative error = 2.823384657145089e-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) = -0.9855188837336571 y2[1] (numeric) = -0.9855188837340518 absolute error = 3.946842852542432e-13 relative error = 4.004837368097648e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1695657094001215 y1[1] (numeric) = -0.1695657093996399 absolute error = 4.815869925067773e-13 relative error = 2.840120176482052e-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) = -0.9856879566553955 y2[1] (numeric) = -0.9856879566557902 absolute error = 3.946842852542432e-13 relative error = 4.004150427012146e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.168580105897793 y1[1] (numeric) = -0.1685801058973113 absolute error = 4.816702592336242e-13 relative error = 2.857218867365357e-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) = -0.9858560438892594 y2[1] (numeric) = -0.9858560438896542 absolute error = 3.947953075567057e-13 relative error = 4.004593875584667e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1675943338153727 y1[1] (numeric) = -0.1675943338148909 absolute error = 4.817257703848554e-13 relative error = 2.87435594878488e-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) = -0.9860231452671616 y2[1] (numeric) = -0.9860231452675564 absolute error = 3.947953075567057e-13 relative error = 4.003915216916499e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1666083941386325 y1[1] (numeric) = -0.1666083941381507 absolute error = 4.817812815360867e-13 relative error = 2.891698728787958e-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) = -0.9861892606220007 y2[1] (numeric) = -0.9861892606223955 absolute error = 3.947953075567057e-13 relative error = 4.003240790796117e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.165622287853512 y1[1] (numeric) = -0.1656222878530302 absolute error = 4.818367926873179e-13 relative error = 2.909250916238328e-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) = -0.9863543897876613 y2[1] (numeric) = -0.9863543897880562 absolute error = 3.949063298591682e-13 relative error = 4.003696176018258e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1646360159461176 y1[1] (numeric) = -0.1646360159456356 absolute error = 4.819200594141648e-13 relative error = 2.927184897209178e-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) = -0.9865185325990143 y2[1] (numeric) = -0.9865185325994092 absolute error = 3.949063298591682e-13 relative error = 4.003030017274738e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1636495794027208 y1[1] (numeric) = -0.1636495794022389 absolute error = 4.819755705653961e-13 relative error = 2.945168403881536e-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) = -0.986681688891917 y2[1] (numeric) = -0.9866816888923119 absolute error = 3.949063298591682e-13 relative error = 4.002368081875156e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1626629792097584 y1[1] (numeric) = -0.1626629792092763 absolute error = 4.820310817166273e-13 relative error = 2.963373006312857e-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) = -0.986843858503213 y2[1] (numeric) = -0.9868438585036079 absolute error = 3.949063298591682e-13 relative error = 4.001710366401216e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1616762163538302 y1[1] (numeric) = -0.1616762163533481 absolute error = 4.820865928678586e-13 relative error = 2.981802789179619e-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) = -0.9870050412707327 y2[1] (numeric) = -0.9870050412711276 absolute error = 3.949063298591682e-13 relative error = 4.001056867457746e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1606892918216992 y1[1] (numeric) = -0.1606892918212171 absolute error = 4.821698595947055e-13 relative error = 3.00063466661936e-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) = -0.9871652370332934 y2[1] (numeric) = -0.9871652370336884 absolute error = 3.950173521616307e-13 relative error = 4.001532239412805e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1597022066002898 y1[1] (numeric) = -0.1597022065998076 absolute error = 4.822253707459367e-13 relative error = 3.019528540096338e-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) = -0.9873244456306993 y2[1] (numeric) = -0.9873244456310943 absolute error = 3.950173521616307e-13 relative error = 4.000886982083129e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.158714961676687 y1[1] (numeric) = -0.1587149616762047 absolute error = 4.82280881897168e-13 relative error = 3.038660481672839e-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) = -0.9874826669037419 y2[1] (numeric) = -0.9874826669041369 absolute error = 3.950173521616307e-13 relative error = 4.000245932419352e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1577275580381358 y1[1] (numeric) = -0.1577275580376535 absolute error = 4.823641486240149e-13 relative error = 3.058210972285435e-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) = -0.9876399006941998 y2[1] (numeric) = -0.9876399006945948 absolute error = 3.950173521616307e-13 relative error = 3.99960908711746e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1567399966720398 y1[1] (numeric) = -0.1567399966715573 absolute error = 4.824474153508618e-13 relative error = 3.078010881678956e-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) = -0.9877961468448394 y2[1] (numeric) = -0.9877961468452344 absolute error = 3.950173521616307e-13 relative error = 3.998976442896361e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1557522785659601 y1[1] (numeric) = -0.1557522785654776 absolute error = 4.82502926502093e-13 relative error = 3.097886791413816e-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) = -0.9879514051994145 y2[1] (numeric) = -0.9879514051998095 absolute error = 3.950173521616307e-13 relative error = 3.998347996497843e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1547644047076148 y1[1] (numeric) = -0.1547644047071322 absolute error = 4.825584376533243e-13 relative error = 3.118019537922735e-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) = -0.9881056756026666 y2[1] (numeric) = -0.9881056756030617 absolute error = 3.951283744640932e-13 relative error = 3.99884733202343e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1537763760848777 y1[1] (numeric) = -0.1537763760843951 absolute error = 4.826417043801712e-13 relative error = 3.13859460515427e-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) = -0.9882589579003255 y2[1] (numeric) = -0.9882589579007207 absolute error = 3.952393967665557e-13 relative error = 3.999350510379275e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1527881936857773 y1[1] (numeric) = -0.1527881936852946 absolute error = 4.826972155314024e-13 relative error = 3.159257295260082e-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) = -0.9884112519391088 y2[1] (numeric) = -0.9884112519395041 absolute error = 3.952393967665557e-13 relative error = 3.998734291937264e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.151799858498496 y1[1] (numeric) = -0.1517998584980133 absolute error = 4.827804822582493e-13 relative error = 3.180375047998035e-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) = -0.9885625575667226 y2[1] (numeric) = -0.9885625575671179 absolute error = 3.952393967665557e-13 relative error = 3.99812226086541e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1508113715113689 y1[1] (numeric) = -0.150811371510886 absolute error = 4.828359934094806e-13 relative error = 3.201588769936239e-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) = -0.9887128746318613 y2[1] (numeric) = -0.9887128746322564 absolute error = 3.951283744640932e-13 relative error = 3.996391516710206e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1498227337128828 y1[1] (numeric) = -0.1498227337123998 absolute error = 4.829192601363275e-13 relative error = 3.223270916026563e-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) = -0.9888622029842077 y2[1] (numeric) = -0.9888622029846028 absolute error = 3.951283744640932e-13 relative error = 3.995788020531749e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1488339460916754 y1[1] (numeric) = -0.1488339460911924 absolute error = 4.830025268631744e-13 relative error = 3.245244378360197e-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) = -0.9890105424744334 y2[1] (numeric) = -0.9890105424748287 absolute error = 3.952393967665557e-13 relative error = 3.996311260522008e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1478450096365344 y1[1] (numeric) = -0.1478450096360513 absolute error = 4.830580380144056e-13 relative error = 3.267327312582052e-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) = -0.9891578929541991 y2[1] (numeric) = -0.9891578929545944 absolute error = 3.953504190690182e-13 relative error = 3.99683833981522e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1468559253363961 y1[1] (numeric) = -0.1468559253359129 absolute error = 4.831413047412525e-13 relative error = 3.289899972606097e-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) = -0.9893042542761543 y2[1] (numeric) = -0.9893042542765497 absolute error = 3.953504190690182e-13 relative error = 3.996247032802713e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1458666941803446 y1[1] (numeric) = -0.1458666941798614 absolute error = 4.831968158924838e-13 relative error = 3.312591805879111e-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) = -0.9894496262939377 y2[1] (numeric) = -0.9894496262943331 absolute error = 3.953504190690182e-13 relative error = 3.995659895793126e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1448773171576112 y1[1] (numeric) = -0.1448773171571279 absolute error = 4.83252327043715e-13 relative error = 3.335596879654997e-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) = -0.9895940088621772 y2[1] (numeric) = -0.9895940088625726 absolute error = 3.954614413714808e-13 relative error = 3.996198823254573e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1438877952575726 y1[1] (numeric) = -0.1438877952570893 absolute error = 4.833355937705619e-13 relative error = 3.359114599715327e-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) = -0.9897374018364903 y2[1] (numeric) = -0.9897374018368859 absolute error = 3.955724636739433e-13 relative error = 3.996741589637267e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1428981294697508 y1[1] (numeric) = -0.1428981294692674 absolute error = 4.834188604974088e-13 relative error = 3.382961430574503e-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) = -0.9898798050734841 y2[1] (numeric) = -0.9898798050738796 absolute error = 3.955724636739433e-13 relative error = 3.996166621912019e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1419083207838114 y1[1] (numeric) = -0.1419083207833279 absolute error = 4.835021272242557e-13 relative error = 3.407144306645988e-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) = -0.9900212184307553 y2[1] (numeric) = -0.9900212184311509 absolute error = 3.955724636739433e-13 relative error = 3.995595814612439e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1409183701895631 y1[1] (numeric) = -0.1409183701890795 absolute error = 4.835576383754869e-13 relative error = 3.431473396442254e-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) = -0.9901616417668905 y2[1] (numeric) = -0.9901616417672862 absolute error = 3.956834859764058e-13 relative error = 3.996150419140957e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1399282786769563 y1[1] (numeric) = -0.1399282786764727 absolute error = 4.836131495267182e-13 relative error = 3.456150208516505e-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) = -0.9903010749414666 y2[1] (numeric) = -0.9903010749418621 absolute error = 3.955724636739433e-13 relative error = 3.994466669616856e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1389380472360825 y1[1] (numeric) = -0.1389380472355988 absolute error = 4.836964162535651e-13 relative error = 3.481381996334464e-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) = -0.9904395178150501 y2[1] (numeric) = -0.9904395178154458 absolute error = 3.956834859764058e-13 relative error = 3.995029265888943e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.137947676857173 y1[1] (numeric) = -0.1379476768566893 absolute error = 4.837519274047963e-13 relative error = 3.506778355576505e-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) = -0.9905769702491984 y2[1] (numeric) = -0.9905769702495941 absolute error = 3.956834859764058e-13 relative error = 3.994474915733848e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1369571685305983 y1[1] (numeric) = -0.1369571685301144 absolute error = 4.838351941316432e-13 relative error = 3.532748225760431e-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) = -0.990713432106459 y2[1] (numeric) = -0.9907134321068548 absolute error = 3.957945082788683e-13 relative error = 3.995045342600517e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1359665232468663 y1[1] (numeric) = -0.1359665232463824 absolute error = 4.838907052828745e-13 relative error = 3.558895923258279e-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) = -0.99084890325037 y2[1] (numeric) = -0.9908489032507659 absolute error = 3.959055305813308e-13 relative error = 3.995619607415486e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1349757419966225 y1[1] (numeric) = -0.1349757419961385 absolute error = 4.839462164341057e-13 relative error = 3.585431050612159e-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) = -0.9909833835454605 y2[1] (numeric) = -0.9909833835458564 absolute error = 3.959055305813308e-13 relative error = 3.995077386311887e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1339848257706479 y1[1] (numeric) = -0.1339848257701639 absolute error = 4.84001727585337e-13 relative error = 3.61236225670689e-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) = -0.9911168728572498 y2[1] (numeric) = -0.9911168728576458 absolute error = 3.960165528837933e-13 relative error = 3.995659480018069e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1329937755598586 y1[1] (numeric) = -0.1329937755593746 absolute error = 4.840572387365683e-13 relative error = 3.63969844978723e-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) = -0.991249371052249 y2[1] (numeric) = -0.991249371052645 absolute error = 3.960165528837933e-13 relative error = 3.995125388714312e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.132002592355305 y1[1] (numeric) = -0.1320025923548208 absolute error = 4.841127498877995e-13 relative error = 3.667448807253245e-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) = -0.9913808779979597 y2[1] (numeric) = -0.9913808779983557 absolute error = 3.960165528837933e-13 relative error = 3.994595434234393e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1310112771481699 y1[1] (numeric) = -0.1310112771476857 absolute error = 4.841960166146464e-13 relative error = 3.695834642288349e-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) = -0.991511393562875 y2[1] (numeric) = -0.9915113935632711 absolute error = 3.961275751862559e-13 relative error = 3.995189341827125e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1300198309297687 y1[1] (numeric) = -0.1300198309292844 absolute error = 4.842515277658777e-13 relative error = 3.724443604510225e-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) = -0.9916409176164793 y2[1] (numeric) = -0.9916409176168756 absolute error = 3.962385974887184e-13 relative error = 3.995787088345674e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1290282546915473 y1[1] (numeric) = -0.129028254691063 absolute error = 4.843347944927245e-13 relative error = 3.753711120487268e-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) = -0.9917694500292488 y2[1] (numeric) = -0.991769450029645 absolute error = 3.962385974887184e-13 relative error = 3.995269237997124e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.128036549425082 y1[1] (numeric) = -0.1280365494245976 absolute error = 4.843903056439558e-13 relative error = 3.783218993474883e-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) = -0.9918969906726508 y2[1] (numeric) = -0.991896990673047 absolute error = 3.962385974887184e-13 relative error = 3.994755516094578e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1270447161220779 y1[1] (numeric) = -0.1270447161215935 absolute error = 4.844458167951871e-13 relative error = 3.813191383179451e-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) = -0.9920235394191448 y2[1] (numeric) = -0.992023539419541 absolute error = 3.962385974887184e-13 relative error = 3.994245920018452e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1260527557743683 y1[1] (numeric) = -0.1260527557738838 absolute error = 4.845013279464183e-13 relative error = 3.843639315697826e-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) = -0.9921490961421821 y2[1] (numeric) = -0.9921490961425783 absolute error = 3.962385974887184e-13 relative error = 3.993740447171002e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1250606693739135 y1[1] (numeric) = -0.1250606693734289 absolute error = 4.845845946732652e-13 relative error = 3.874796105755892e-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) = -0.9922736607162058 y2[1] (numeric) = -0.9922736607166022 absolute error = 3.963496197911809e-13 relative error = 3.994357962752963e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1240684579127997 y1[1] (numeric) = -0.124068457912315 absolute error = 4.846262280366886e-13 relative error = 3.906119542303843e-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) = -0.9923972330166515 y2[1] (numeric) = -0.992397233017048 absolute error = 3.964606420936434e-13 relative error = 3.99497931779291e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1230761223832383 y1[1] (numeric) = -0.1230761223827536 absolute error = 4.846956169757277e-13 relative error = 3.938177508277904e-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) = -0.992519812919947 y2[1] (numeric) = -0.9925198129203434 absolute error = 3.964606420936434e-13 relative error = 3.994485922928578e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1220836637775648 y1[1] (numeric) = -0.12208366377708 absolute error = 4.84751128126959e-13 relative error = 3.970646957402678e-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) = -0.9926414003035122 y2[1] (numeric) = -0.9926414003039087 absolute error = 3.964606420936434e-13 relative error = 3.993996643424511e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1210910830882376 y1[1] (numeric) = -0.1210910830877528 absolute error = 4.84820517065998e-13 relative error = 4.003767285760547e-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) = -0.9927619950457598 y2[1] (numeric) = -0.9927619950461564 absolute error = 3.965716643961059e-13 relative error = 3.994629794201847e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1200983813078375 y1[1] (numeric) = -0.1200983813073526 absolute error = 4.848899060050371e-13 relative error = 4.037439145513226e-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) = -0.9928815970260951 y2[1] (numeric) = -0.9928815970264917 absolute error = 3.965716643961059e-13 relative error = 3.9941486032567e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1191055594290661 y1[1] (numeric) = -0.1191055594285812 absolute error = 4.849592949440762e-13 relative error = 4.071676395868793e-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) = -0.9930002061249162 y2[1] (numeric) = -0.9930002061253128 absolute error = 3.965716643961059e-13 relative error = 3.993671521415761e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1181126184447452 y1[1] (numeric) = -0.1181126184442602 absolute error = 4.850148060953074e-13 relative error = 4.106375868063618e-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) = -0.9931178222236139 y2[1] (numeric) = -0.9931178222240106 absolute error = 3.966826866985684e-13 relative error = 3.994316462979052e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1171195593478157 y1[1] (numeric) = -0.1171195593473306 absolute error = 4.850841950343465e-13 relative error = 4.141786373988724e-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) = -0.993234445204572 y2[1] (numeric) = -0.9932344452049688 absolute error = 3.967937090010309e-13 relative error = 3.994965246289914e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1161263831313366 y1[1] (numeric) = -0.1161263831308514 absolute error = 4.851535839733856e-13 relative error = 4.177806721360527e-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) = -0.9933500749511678 y2[1] (numeric) = -0.9933500749515647 absolute error = 3.969047313034935e-13 relative error = 3.995617872410237e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.115133090788484 y1[1] (numeric) = -0.1151330907879988 absolute error = 4.852229729124247e-13 relative error = 4.214452765832969e-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) = -0.9934647113477714 y2[1] (numeric) = -0.9934647113481683 absolute error = 3.969047313034935e-13 relative error = 3.995156816038666e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1141396833125502 y1[1] (numeric) = -0.1141396833120649 absolute error = 4.852784840636559e-13 relative error = 4.251619331506391e-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) = -0.9935783542797464 y2[1] (numeric) = -0.9935783542801434 absolute error = 3.97015753605956e-13 relative error = 3.995817258858826e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1131461616969427 y1[1] (numeric) = -0.1131461616964573 absolute error = 4.85347873002695e-13 relative error = 4.289565511755311e-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) = -0.99369100363345 y2[1] (numeric) = -0.993691003633847 absolute error = 3.97015753605956e-13 relative error = 3.995364274752014e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1121525269351829 y1[1] (numeric) = -0.1121525269346974 absolute error = 4.854311397295419e-13 relative error = 4.328312103124442e-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) = -0.9938026592962327 y2[1] (numeric) = -0.9938026592966298 absolute error = 3.971267759084185e-13 relative error = 3.996032534161724e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1111587800209054 y1[1] (numeric) = -0.1111587800204199 absolute error = 4.854866508807731e-13 relative error = 4.367506109634062e-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) = -0.9939133211564389 y2[1] (numeric) = -0.9939133211568361 absolute error = 3.971267759084185e-13 relative error = 3.995587617704461e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1101649219478573 y1[1] (numeric) = -0.1101649219473717 absolute error = 4.855421620320044e-13 relative error = 4.407411664684145e-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) = -0.9940229891034068 y2[1] (numeric) = -0.994022989103804 absolute error = 3.97237798210881e-13 relative error = 3.996263693752026e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1091709537098963 y1[1] (numeric) = -0.1091709537094107 absolute error = 4.856115509710435e-13 relative error = 4.448175402602743e-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) = -0.9941316630274685 y2[1] (numeric) = -0.9941316630278657 absolute error = 3.97237798210881e-13 relative error = 3.995826840492707e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1081768763009908 y1[1] (numeric) = -0.1081768763005051 absolute error = 4.856670621222747e-13 relative error = 4.489564486692677e-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) = -0.99423934281995 y2[1] (numeric) = -0.9942393428203472 absolute error = 3.97237798210881e-13 relative error = 3.995394077689582e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1071826907152179 y1[1] (numeric) = -0.1071826907147322 absolute error = 4.857364510613138e-13 relative error = 4.531855356681659e-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) = -0.9943460283731714 y2[1] (numeric) = -0.9943460283735688 absolute error = 3.973488205133435e-13 relative error = 3.996081939035222e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1061883979467633 y1[1] (numeric) = -0.1061883979462775 absolute error = 4.858058400003529e-13 relative error = 4.574942737566375e-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) = -0.9944517195804474 y2[1] (numeric) = -0.9944517195808448 absolute error = 3.973488205133435e-13 relative error = 3.995657231916521e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1051939989899196 y1[1] (numeric) = -0.1051939989894337 absolute error = 4.858752289393919e-13 relative error = 4.618849303237839e-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) = -0.9945564163360867 y2[1] (numeric) = -0.9945564163364841 absolute error = 3.973488205133435e-13 relative error = 3.995236609876427e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1041994948390856 y1[1] (numeric) = -0.1041994948385997 absolute error = 4.85944617878431e-13 relative error = 4.663598596412306e-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) = -0.9946601185353925 y2[1] (numeric) = -0.9946601185357899 absolute error = 3.97459842815806e-13 relative error = 3.995936254095056e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1032048864887655 y1[1] (numeric) = -0.1032048864882795 absolute error = 4.860001290296623e-13 relative error = 4.70908060232755e-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) = -0.9947628260746626 y2[1] (numeric) = -0.9947628260750602 absolute error = 3.975708651182686e-13 relative error = 3.996639748663352e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1022101749335675 y1[1] (numeric) = -0.1022101749330815 absolute error = 4.860695179687013e-13 relative error = 4.75558835785798e-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) = -0.9948645388511896 y2[1] (numeric) = -0.9948645388515872 absolute error = 3.975708651182686e-13 relative error = 3.996231140948693e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.1012153611682031 y1[1] (numeric) = -0.101215361167717 absolute error = 4.861389069077404e-13 relative error = 4.803015088785371e-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) = -0.9949652567632606 y2[1] (numeric) = -0.9949652567636583 absolute error = 3.976818874207311e-13 relative error = 3.996942453191152e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.100220446187486 y1[1] (numeric) = -0.1002204461869998 absolute error = 4.861944180589717e-13 relative error = 4.851249785392398e-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) = -0.9950649797101578 y2[1] (numeric) = -0.9950649797105555 absolute error = 3.976818874207311e-13 relative error = 3.996541889521302e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.09922543098633101 y1[1] (numeric) = -0.09922543098584474 absolute error = 4.862638069980108e-13 relative error = 4.900596572515739e-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) = -0.9951637075921582 y2[1] (numeric) = -0.995163707592556 absolute error = 3.977929097231936e-13 relative error = 3.99726102035685e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.09823031655975331 y1[1] (numeric) = -0.09823031655926698 absolute error = 4.863331959370498e-13 relative error = 4.950948067455471e-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) = -0.995261440310534 y2[1] (numeric) = -0.9952614403109318 absolute error = 3.977929097231936e-13 relative error = 3.996868497176754e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.09723510390286724 y1[1] (numeric) = -0.09723510390238084 absolute error = 4.864025848760889e-13 relative error = 5.002335220024854e-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) = -0.9953581777675523 y2[1] (numeric) = -0.9953581777679502 absolute error = 3.979039320256561e-13 relative error = 3.997595447681943e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.09623979401088537 y1[1] (numeric) = -0.09623979401039891 absolute error = 4.864580960273202e-13 relative error = 5.054646064312009e-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) = -0.9954539198664759 y2[1] (numeric) = -0.9954539198668738 absolute error = 3.979039320256561e-13 relative error = 3.997210961598589e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.09524438787911751 y1[1] (numeric) = -0.09524438787863099 absolute error = 4.865274849663592e-13 relative error = 5.108201079352322e-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) = -0.9955486665115625 y2[1] (numeric) = -0.9955486665119605 absolute error = 3.980149543281186e-13 relative error = 3.997945733007478e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.09424888650296971 y1[1] (numeric) = -0.09424888650248311 absolute error = 4.865968739053983e-13 relative error = 5.162892549293577e-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) = -0.9956424176080656 y2[1] (numeric) = -0.9956424176084636 absolute error = 3.980149543281186e-13 relative error = 3.997569280789693e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.09325329087794326 y1[1] (numeric) = -0.0932532908774566 absolute error = 4.866662628444374e-13 relative error = 5.218756981792973e-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) = -0.995735173062234 y2[1] (numeric) = -0.9957351730626322 absolute error = 3.981259766305811e-13 relative error = 3.998311874493742e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.0922576019996337 y1[1] (numeric) = -0.09225760199914697 absolute error = 4.867356517834764e-13 relative error = 5.27583246511663e-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) = -0.9958269327813124 y2[1] (numeric) = -0.9958269327817105 absolute error = 3.981259766305811e-13 relative error = 3.997943453071993e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.09126182086372983 y1[1] (numeric) = -0.09126182086324304 absolute error = 4.867911629347077e-13 relative error = 5.3340066889699e-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) = -0.9959176966735409 y2[1] (numeric) = -0.9959176966739391 absolute error = 3.982369989330437e-13 relative error = 3.99869387061996e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.09026594846601271 y1[1] (numeric) = -0.09026594846552585 absolute error = 4.868605518737468e-13 relative error = 5.39362362161476e-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) = -0.9960074646481558 y2[1] (numeric) = -0.9960074646485541 absolute error = 3.982369989330437e-13 relative error = 3.998333477086165e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.08926998580235464 y1[1] (numeric) = -0.08926998580186772 absolute error = 4.86916063024978e-13 relative error = 5.454420751259208e-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) = -0.996096236615389 y2[1] (numeric) = -0.9960962366157874 absolute error = 3.983480212355062e-13 relative error = 3.999091720184017e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.08827393386871821 y1[1] (numeric) = -0.08827393386823122 absolute error = 4.869854519640171e-13 relative error = 5.516752574868435e-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) = -0.9961840124864687 y2[1] (numeric) = -0.9961840124868671 absolute error = 3.983480212355062e-13 relative error = 3.998739351791364e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.08727779366115526 y1[1] (numeric) = -0.08727779366066821 absolute error = 4.870548409030562e-13 relative error = 5.580512756703996e-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) = -0.9962707921736188 y2[1] (numeric) = -0.9962707921740173 absolute error = 3.984590435379687e-13 relative error = 3.99950542230219e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.08628156617580592 y1[1] (numeric) = -0.08628156617531881 absolute error = 4.871103520542874e-13 relative error = 5.645590056417837e-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) = -0.9963565755900599 y2[1] (numeric) = -0.9963565755904583 absolute error = 3.984590435379687e-13 relative error = 3.999161076464962e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.0852852524088976 y1[1] (numeric) = -0.08528525240841042 absolute error = 4.871797409933265e-13 relative error = 5.712356207349399e-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) = -0.9964413626500083 y2[1] (numeric) = -0.9964413626504068 absolute error = 3.985700658404312e-13 relative error = 3.999934976408899e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.08428885335674398 y1[1] (numeric) = -0.08428885335625673 absolute error = 4.872491299323656e-13 relative error = 5.780706588451658e-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) = -0.9965251532686771 y2[1] (numeric) = -0.9965251532690758 absolute error = 3.986810881428937e-13 relative error = 4.00071274503398e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.08329237001574402 y1[1] (numeric) = -0.0832923700152567 absolute error = 4.873185188714046e-13 relative error = 5.85069819455601e-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) = -0.9966079473622756 y2[1] (numeric) = -0.9966079473626744 absolute error = 3.987921104453562e-13 relative error = 4.001494384033763e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.08229580338238099 y1[1] (numeric) = -0.0822958033818936 absolute error = 4.873879078104437e-13 relative error = 5.92239078760595e-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) = -0.99668974484801 y2[1] (numeric) = -0.9966897448484088 absolute error = 3.987921104453562e-13 relative error = 4.00116598476861e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.08129915445322144 y1[1] (numeric) = -0.08129915445273397 absolute error = 4.874711745372906e-13 relative error = 5.99601776692248e-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) = -0.9967705456440825 y2[1] (numeric) = -0.9967705456444813 absolute error = 3.987921104453562e-13 relative error = 4.000841639914922e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.08030242422491421 y1[1] (numeric) = -0.08030242422442667 absolute error = 4.875405634763297e-13 relative error = 6.071305669562438e-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) = -0.9968503496696924 y2[1] (numeric) = -0.9968503496700913 absolute error = 3.989031327478187e-13 relative error = 4.001635078725666e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.07930561369418944 y1[1] (numeric) = -0.07930561369370184 absolute error = 4.875960746275609e-13 relative error = 6.148317274332954e-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) = -0.9969291568450357 y2[1] (numeric) = -0.9969291568454347 absolute error = 3.990141550502813e-13 relative error = 4.002432392618894e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.07830872385785759 y1[1] (numeric) = -0.07830872385736992 absolute error = 4.876654635666e-13 relative error = 6.227473000987579e-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) = -0.9970069670913052 y2[1] (numeric) = -0.9970069670917043 absolute error = 3.991251773527438e-13 relative error = 4.003233583383697e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.07731175571280841 y1[1] (numeric) = -0.07731175571232067 absolute error = 4.877348525056391e-13 relative error = 6.308676449121631e-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) = -0.9970837803306908 y2[1] (numeric) = -0.9970837803310899 absolute error = 3.991251773527438e-13 relative error = 4.002925182679942e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.07631471025600996 y1[1] (numeric) = -0.07631471025552215 absolute error = 4.878042414446782e-13 relative error = 6.392008038925398e-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) = -0.9971595964863791 y2[1] (numeric) = -0.9971595964867783 absolute error = 3.992361996552063e-13 relative error = 4.003734217290459e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.07531758848450761 y1[1] (numeric) = -0.07531758848401973 absolute error = 4.878736303837172e-13 relative error = 6.477552457538786e-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) = -0.997234415482554 y2[1] (numeric) = -0.9972344154829533 absolute error = 3.993472219576688e-13 relative error = 4.004547133127448e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.07432039139542304 y1[1] (numeric) = -0.07432039139493511 absolute error = 4.879291415349485e-13 relative error = 6.565212216643374e-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) = -0.9973082372443965 y2[1] (numeric) = -0.9973082372447959 absolute error = 3.993472219576688e-13 relative error = 4.004250712508717e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.07332311998595328 y1[1] (numeric) = -0.07332311998546528 absolute error = 4.879985304739876e-13 relative error = 6.655452339827803e-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) = -0.9973810616980849 y2[1] (numeric) = -0.9973810616984844 absolute error = 3.994582442601313e-13 relative error = 4.005071477696159e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.07232577525336964 y1[1] (numeric) = -0.07232577525288159 absolute error = 4.880540416252188e-13 relative error = 6.74799599334375e-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) = -0.9974528887707947 y2[1] (numeric) = -0.9974528887711943 absolute error = 3.995692665625938e-13 relative error = 4.005896128638223e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.07132835819501679 y1[1] (numeric) = -0.07132835819452865 absolute error = 4.881373083520657e-13 relative error = 6.84352367984503e-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) = -0.9975237183906989 y2[1] (numeric) = -0.9975237183910985 absolute error = 3.996802888650564e-13 relative error = 4.006724667257627e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.07033086980831167 y1[1] (numeric) = -0.07033086980782347 absolute error = 4.882066972911048e-13 relative error = 6.941570588018075e-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) = -0.9975935504869677 y2[1] (numeric) = -0.9975935504873675 absolute error = 3.997913111675189e-13 relative error = 4.007557095496094e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.0693333110907426 y1[1] (numeric) = -0.06933331109025434 absolute error = 4.88262208442336e-13 relative error = 7.042245650194094e-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) = -0.9976623849897693 y2[1] (numeric) = -0.9976623849901691 absolute error = 3.997913111675189e-13 relative error = 4.007280590934764e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.06833568303986824 y1[1] (numeric) = -0.0683356830393799 absolute error = 4.883454751691829e-13 relative error = 7.146273417421958e-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) = -0.9977302218302689 y2[1] (numeric) = -0.9977302218306688 absolute error = 3.999023334699814e-13 relative error = 4.008120879974824e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.06733798665331651 y1[1] (numeric) = -0.06733798665282811 absolute error = 4.884009863204142e-13 relative error = 7.252978750833495e-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) = -0.99779706094063 y2[1] (numeric) = -0.9977970609410299 absolute error = 3.999023334699814e-13 relative error = 4.007852389272331e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.06634022292878375 y1[1] (numeric) = -0.06634022292829529 absolute error = 4.884564974716454e-13 relative error = 7.362901056211457e-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) = -0.9978629022540132 y2[1] (numeric) = -0.9978629022544132 absolute error = 4.000133557724439e-13 relative error = 4.008700542618405e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.06534239286403359 y1[1] (numeric) = -0.06534239286354507 absolute error = 4.885258864106845e-13 relative error = 7.476400312232578e-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) = -0.9979277457045773 y2[1] (numeric) = -0.9979277457049774 absolute error = 4.001243780749064e-13 relative error = 4.009552593333322e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.06434449745689601 y1[1] (numeric) = -0.06434449745640743 absolute error = 4.885813975619158e-13 relative error = 7.59321180321928e-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) = -0.9979915912274788 y2[1] (numeric) = -0.9979915912278791 absolute error = 4.002354003773689e-13 relative error = 4.010408543473796e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.06334653770526634 y1[1] (numeric) = -0.06334653770477769 absolute error = 4.886507865009548e-13 relative error = 7.71393045622335e-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) = -0.9980544387588723 y2[1] (numeric) = -0.9980544387592727 absolute error = 4.003464226798314e-13 relative error = 4.011268395115612e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.06234851460710424 y1[1] (numeric) = -0.06234851460661552 absolute error = 4.8871323654609e-13 relative error = 7.83841025926228e-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) = -0.9981162882359103 y2[1] (numeric) = -0.9981162882363107 absolute error = 4.00457444982294e-13 relative error = 4.012132150353643e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.06135042916043272 y1[1] (numeric) = -0.06135042915994394 absolute error = 4.887756865912252e-13 relative error = 7.966948125384193e-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) = -0.9981771395967431 y2[1] (numeric) = -0.9981771395971436 absolute error = 4.00457444982294e-13 relative error = 4.011887560799841e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.06035228236333716 y1[1] (numeric) = -0.06035228236284831 absolute error = 4.888450755302642e-13 relative error = 8.099860624777765e-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) = -0.9982369927805196 y2[1] (numeric) = -0.9982369927809202 absolute error = 4.005684672847565e-13 relative error = 4.012759196280644e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.05935407521396427 y1[1] (numeric) = -0.05935407521347535 absolute error = 4.889144644693033e-13 relative error = 8.237251826548147e-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) = -0.9982958477273864 y2[1] (numeric) = -0.9982958477277871 absolute error = 4.00679489587219e-13 relative error = 4.013634740636887e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.0583558087105211 y1[1] (numeric) = -0.05835580871003213 absolute error = 4.889769145144385e-13 relative error = 8.379232938747359e-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) = -0.9983537043784887 y2[1] (numeric) = -0.9983537043788895 absolute error = 4.007905118896815e-13 relative error = 4.014514196040251e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.05735748385127409 y1[1] (numeric) = -0.05735748385078505 absolute error = 4.890463034534775e-13 relative error = 8.526285858730434e-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) = -0.9984105626759698 y2[1] (numeric) = -0.9984105626763707 absolute error = 4.00901534192144e-13 relative error = 4.015397564681565e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.05635910163454801 y1[1] (numeric) = -0.0563591016340589 absolute error = 4.891156923925166e-13 relative error = 8.67855729078353e-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) = -0.9984664225629715 y2[1] (numeric) = -0.9984664225633725 absolute error = 4.010125564946065e-13 relative error = 4.01628484877082e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.05536066305872499 y1[1] (numeric) = -0.05536066305823581 absolute error = 4.891781424376518e-13 relative error = 8.836204543264697e-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) = -0.9985212839836338 y2[1] (numeric) = -0.9985212839840348 absolute error = 4.010125564946065e-13 relative error = 4.016064183376779e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.05436216912224352 y1[1] (numeric) = -0.05436216912175428 absolute error = 4.892475313766909e-13 relative error = 8.999779428898912e-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) = -0.9985751468830952 y2[1] (numeric) = -0.9985751468834965 absolute error = 4.012346010995316e-13 relative error = 4.018071172229011e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.05336362082359747 y1[1] (numeric) = -0.05336362082310815 absolute error = 4.893169203157299e-13 relative error = 9.169484993030182e-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) = -0.9986280112074931 y2[1] (numeric) = -0.9986280112078944 absolute error = 4.012346010995316e-13 relative error = 4.017858467782993e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.05236501916133503 y1[1] (numeric) = -0.05236501916084565 absolute error = 4.89386309254769e-13 relative error = 9.345672303622855e-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) = -0.998679876903963 y2[1] (numeric) = -0.9986798769043643 absolute error = 4.013456234019941e-13 relative error = 4.018761493885483e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.0513663651340578 y1[1] (numeric) = -0.05136636513356835 absolute error = 4.894556981938081e-13 relative error = 9.528719754968233e-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) = -0.9987307439206392 y2[1] (numeric) = -0.9987307439210406 absolute error = 4.013456234019941e-13 relative error = 4.018556811683427e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.05036765974041971 y1[1] (numeric) = -0.0503676597399302 absolute error = 4.895181482389432e-13 relative error = 9.718898014356385e-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) = -0.9987806122066546 y2[1] (numeric) = -0.9987806122070562 absolute error = 4.015676680069191e-13 relative error = 4.020579325420786e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.04936890397912608 y1[1] (numeric) = -0.0493689039786365 absolute error = 4.895875371779823e-13 relative error = 9.916921335441987e-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) = -0.9988294817121411 y2[1] (numeric) = -0.9988294817125427 absolute error = 4.015676680069191e-13 relative error = 4.020382611440071e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.04837009884893259 y1[1] (numeric) = -0.04837009884844293 absolute error = 4.896569261170214e-13 relative error = 1.012313263295774e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.664999999999893 y2[1] (analytic) = -0.9988773523882292 y2[1] (numeric) = -0.9988773523886308 absolute error = 4.016786903093816e-13 relative error = 4.021301407515174e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.04737124534864428 y1[1] (numeric) = -0.04737124534815455 absolute error = 4.897263150560605e-13 relative error = 1.033805025499664e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.665999999999893 y2[1] (analytic) = -0.9989242241870481 y2[1] (numeric) = -0.9989242241874499 absolute error = 4.017897126118442e-13 relative error = 4.0222241375599e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.04637234447711457 y1[1] (numeric) = -0.04637234447662477 absolute error = 4.897957039950995e-13 relative error = 1.056223724545178e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.666999999999893 y2[1] (analytic) = -0.998970097061726 y2[1] (numeric) = -0.9989700970621279 absolute error = 4.019007349143067e-13 relative error = 4.023150803977202e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.04537339723324424 y1[1] (numeric) = -0.04537339723275437 absolute error = 4.898650929341386e-13 relative error = 1.079630626765641e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.667999999999894 y2[1] (analytic) = -0.9990149709663901 y2[1] (numeric) = -0.9990149709667921 absolute error = 4.020117572167692e-13 relative error = 4.024081409189353e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.04437440461598047 y1[1] (numeric) = -0.04437440461549053 absolute error = 4.899414207670816e-13 relative error = 1.104108156508403e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.668999999999894 y2[1] (analytic) = -0.9990588458561666 y2[1] (numeric) = -0.9990588458565687 absolute error = 4.021227795192317e-13 relative error = 4.025015955637961e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.04337536762431577 y1[1] (numeric) = -0.04337536762382576 absolute error = 4.900108097061207e-13 relative error = 1.129698343885449e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.669999999999894 y2[1] (analytic) = -0.9991017216871803 y2[1] (numeric) = -0.9991017216875826 absolute error = 4.023448241241567e-13 relative error = 4.027065666994529e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.04237628725728707 y1[1] (numeric) = -0.04237628725679699 absolute error = 4.900801986451597e-13 relative error = 1.1564963104711e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.670999999999895 y2[1] (analytic) = -0.9991435984165556 y2[1] (numeric) = -0.9991435984169581 absolute error = 4.024558464266192e-13 relative error = 4.028008056744115e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.04137716451397463 y1[1] (numeric) = -0.04137716451348449 absolute error = 4.901495875841988e-13 relative error = 1.184589599943845e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.671999999999895 y2[1] (analytic) = -0.9991844760024159 y2[1] (numeric) = -0.9991844760028185 absolute error = 4.025668687290818e-13 relative error = 4.028954396286161e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.04037800039350113 y1[1] (numeric) = -0.04037800039301092 absolute error = 4.90212037629334e-13 relative error = 1.214057241200666e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.672999999999895 y2[1] (analytic) = -0.9992243544038834 y2[1] (numeric) = -0.999224354404286 absolute error = 4.026778910315443e-13 relative error = 4.029904688139568e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.03937879589503061 y1[1] (numeric) = -0.03937879589454032 absolute error = 4.90281426568373e-13 relative error = 1.245039152226196e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.673999999999896 y2[1] (analytic) = -0.9992632335810797 y2[1] (numeric) = -0.9992632335814825 absolute error = 4.027889133340068e-13 relative error = 4.030858934842665e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.03837955201776747 y1[1] (numeric) = -0.03837955201727711 absolute error = 4.903508155074121e-13 relative error = 1.277635589077248e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.674999999999896 y2[1] (analytic) = -0.9993011134951257 y2[1] (numeric) = -0.9993011134955286 absolute error = 4.028999356364693e-13 relative error = 4.031817138953228e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.03738026976095551 y1[1] (numeric) = -0.03738026976046509 absolute error = 4.904202044464512e-13 relative error = 1.311976097504533e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.675999999999896 y2[1] (analytic) = -0.9993379941081416 y2[1] (numeric) = -0.9993379941085445 absolute error = 4.028999356364693e-13 relative error = 4.031668344562812e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.0363809501238769 y1[1] (numeric) = -0.03638095012338641 absolute error = 4.904895933854903e-13 relative error = 1.348204463367164e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.676999999999897 y2[1] (analytic) = -0.9993738753832465 y2[1] (numeric) = -0.9993738753836496 absolute error = 4.031219802413943e-13 relative error = 4.033745429725211e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.03538159410585121 y1[1] (numeric) = -0.03538159410536065 absolute error = 4.905589823245293e-13 relative error = 1.386480724573694e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.677999999999897 y2[1] (analytic) = -0.9994087572845595 y2[1] (numeric) = -0.9994087572849626 absolute error = 4.031219802413943e-13 relative error = 4.03360464177536e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.03438220270623435 y1[1] (numeric) = -0.03438220270574372 absolute error = 4.906283712635684e-13 relative error = 1.426983534055557e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.678999999999897 y2[1] (analytic) = -0.9994426397771983 y2[1] (numeric) = -0.9994426397776016 absolute error = 4.033440248463194e-13 relative error = 4.03568958130739e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.03338277692441766 y1[1] (numeric) = -0.03338277692392696 absolute error = 4.906977602026075e-13 relative error = 1.469912947366848e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.679999999999898 y2[1] (analytic) = -0.9994755228272807 y2[1] (numeric) = -0.9994755228276841 absolute error = 4.034550471487819e-13 relative error = 4.036667611503908e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.03238331775982681 y1[1] (numeric) = -0.03238331775933605 absolute error = 4.907671491416465e-13 relative error = 1.515493726681917e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.680999999999898 y2[1] (analytic) = -0.9995074064019236 y2[1] (numeric) = -0.999507406402327 absolute error = 4.034550471487819e-13 relative error = 4.036538844681096e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.03138382621192091 y1[1] (numeric) = -0.03138382621143008 absolute error = 4.908365380806856e-13 relative error = 1.563979276351731e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.681999999999898 y2[1] (analytic) = -0.9995382904692433 y2[1] (numeric) = -0.9995382904696469 absolute error = 4.036770917537069e-13 relative error = 4.03863559408211e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.03038430328019142 y1[1] (numeric) = -0.03038430327970051 absolute error = 4.909059270197247e-13 relative error = 1.615656355496436e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.682999999999899 y2[1] (analytic) = -0.9995681749983558 y2[1] (numeric) = -0.9995681749987596 absolute error = 4.037881140561694e-13 relative error = 4.039625551872273e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.02938474996416118 y1[1] (numeric) = -0.0293847499636702 absolute error = 4.909753159587638e-13 relative error = 1.670850752712128e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.683999999999899 y2[1] (analytic) = -0.9995970599593768 y2[1] (numeric) = -0.9995970599597805 absolute error = 4.037881140561694e-13 relative error = 4.039508820409889e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.02838516726338342 y1[1] (numeric) = -0.02838516726289237 absolute error = 4.910481743447548e-13 relative error = 1.729946382870895e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.684999999999899 y2[1] (analytic) = -0.9996249453234209 y2[1] (numeric) = -0.9996249453238248 absolute error = 4.038991363586319e-13 relative error = 4.040506774547863e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.02738555617744076 y1[1] (numeric) = -0.02738555617694964 absolute error = 4.911175632837939e-13 relative error = 1.79334522221009e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.6859999999999 y2[1] (analytic) = -0.9996518310626031 y2[1] (numeric) = -0.9996518310630071 absolute error = 4.040101586610945e-13 relative error = 4.041508714405519e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.0263859177059442 y1[1] (numeric) = -0.02638591770545302 absolute error = 4.911869522228329e-13 relative error = 1.861549625435914e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.6869999999999 y2[1] (analytic) = -0.9996777171500375 y2[1] (numeric) = -0.9996777171504416 absolute error = 4.04121180963557e-13 relative error = 4.042514642775659e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.02538625284853215 y1[1] (numeric) = -0.02538625284804089 absolute error = 4.91259810608824e-13 relative error = 1.935141092070345e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.6879999999999 y2[1] (analytic) = -0.9997026035598381 y2[1] (numeric) = -0.9997026035602423 absolute error = 4.042322032660195e-13 relative error = 4.043524562470781e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.02438656260486935 y1[1] (numeric) = -0.02438656260437802 absolute error = 4.91332668994815e-13 relative error = 2.014768038266733e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.688999999999901 y2[1] (analytic) = -0.9997264902671185 y2[1] (numeric) = -0.9997264902675227 absolute error = 4.042322032660195e-13 relative error = 4.043427949558604e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.02338684797464599 y1[1] (numeric) = -0.02338684797415459 absolute error = 4.914020579338541e-13 relative error = 2.10118977327167e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.689999999999901 y2[1] (analytic) = -0.9997493772479917 y2[1] (numeric) = -0.9997493772483962 absolute error = 4.044542478709445e-13 relative error = 4.045556387184606e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.02238710995757659 y1[1] (numeric) = -0.02238710995708512 absolute error = 4.914714468728931e-13 relative error = 2.19533225952e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.690999999999901 y2[1] (analytic) = -0.9997712644795712 y2[1] (numeric) = -0.9997712644799758 absolute error = 4.04565270173407e-13 relative error = 4.046578297927003e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.02138734955339911 y1[1] (numeric) = -0.02138734955290757 absolute error = 4.915443052588842e-13 relative error = 2.298294625201759e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.691999999999902 y2[1] (analytic) = -0.9997921519399695 y2[1] (numeric) = -0.9997921519403742 absolute error = 4.046762924758696e-13 relative error = 4.047604211441815e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.02038756776187385 y1[1] (numeric) = -0.02038756776138224 absolute error = 4.916136941979232e-13 relative error = 2.41134057745365e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.692999999999902 y2[1] (analytic) = -0.9998120396082991 y2[1] (numeric) = -0.9998120396087039 absolute error = 4.047873147783321e-13 relative error = 4.048634130640369e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.01938776558278254 y1[1] (numeric) = -0.01938776558229085 absolute error = 4.916865525839142e-13 relative error = 2.536066110787725e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.693999999999902 y2[1] (analytic) = -0.9998309274646725 y2[1] (numeric) = -0.9998309274650774 absolute error = 4.048983370807946e-13 relative error = 4.049668058453824e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.01838794401592725 y1[1] (numeric) = -0.0183879440154355 absolute error = 4.917559415229533e-13 relative error = 2.674338909760681e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.694999999999903 y2[1] (analytic) = -0.9998488154902017 y2[1] (numeric) = -0.9998488154906067 absolute error = 4.050093593832571e-13 relative error = 4.050705997833191e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.01738810406112948 y1[1] (numeric) = -0.01738810406063766 absolute error = 4.918287999089443e-13 relative error = 2.828536096746804e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.695999999999903 y2[1] (analytic) = -0.9998657036669987 y2[1] (numeric) = -0.9998657036674038 absolute error = 4.051203816857196e-13 relative error = 4.051747951749362e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.0163882467182291 y1[1] (numeric) = -0.01638824671773721 absolute error = 4.918981888479834e-13 relative error = 3.001530287561703e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.696999999999903 y2[1] (analytic) = -0.9998815919781754 y2[1] (numeric) = -0.9998815919785806 absolute error = 4.052314039881821e-13 relative error = 4.052793923193129e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.01538837298708337 y1[1] (numeric) = -0.0153883729865914 absolute error = 4.919710472339744e-13 relative error = 3.197030950880402e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.697999999999904 y2[1] (analytic) = -0.9998964804078434 y2[1] (numeric) = -0.9998964804082487 absolute error = 4.053424262906447e-13 relative error = 4.053843915175212e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.01438848386756593 y1[1] (numeric) = -0.01438848386707389 absolute error = 4.920421708964895e-13 relative error = 3.4196943571354e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.698999999999904 y2[1] (analytic) = -0.9999103689411144 y2[1] (numeric) = -0.9999103689415197 absolute error = 4.053424262906447e-13 relative error = 4.053787608182265e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.01338858035956583 y1[1] (numeric) = -0.01338858035907371 absolute error = 4.921132945590045e-13 relative error = 3.675619679926716e-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) = -0.9999232575640997 y2[1] (numeric) = -0.9999232575645052 absolute error = 4.054534485931072e-13 relative error = 4.054845664664578e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.01238866346298647 y1[1] (numeric) = -0.01238866346249429 absolute error = 4.921844182215196e-13 relative error = 3.972861315443878e-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) = -0.9999351462639108 y2[1] (numeric) = -0.9999351462643163 absolute error = 4.055644708955697e-13 relative error = 4.0559077497265e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.0113887341777447 y1[1] (numeric) = -0.01138873417725244 absolute error = 4.922572766075106e-13 relative error = 4.322317730178087e-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) = -0.999946035028659 y2[1] (numeric) = -0.9999460350290647 absolute error = 4.056754931980322e-13 relative error = 4.056973866458757e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.01038879350376968 y1[1] (numeric) = -0.01038879350327736 absolute error = 4.923284002700257e-13 relative error = 4.739033460347239e-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) = -0.9999559238474554 y2[1] (numeric) = -0.9999559238478612 absolute error = 4.058975378029572e-13 relative error = 4.059154289933258e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.009388842441002037 y1[1] (numeric) = -0.009388842440509637 absolute error = 4.923995239325407e-13 relative error = 5.244517916097746e-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) = -0.9999648127104114 y2[1] (numeric) = -0.9999648127108173 absolute error = 4.058975378029572e-13 relative error = 4.059118207397411e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.00838888198939273 y1[1] (numeric) = -0.008388881988900259 absolute error = 4.924706475950558e-13 relative error = 5.870515859178341e-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) = -0.9999727016086379 y2[1] (numeric) = -0.9999727016090439 absolute error = 4.060085601054197e-13 relative error = 4.060196437885566e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.007388913148902134 y1[1] (numeric) = -0.007388913148409591 absolute error = 4.925435059810468e-13 relative error = 6.665980450104903e-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) = -0.9999795905342462 y2[1] (numeric) = -0.9999795905346524 absolute error = 4.061195824078823e-13 relative error = 4.061278712607624e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.006388936919499004 y1[1] (numeric) = -0.006388936919006389 absolute error = 4.926154970052998e-13 relative error = 7.710445465533393e-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) = -0.9999854794803472 y2[1] (numeric) = -0.9999854794807536 absolute error = 4.063416270128073e-13 relative error = 4.063475273900646e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.005388954301159488 y1[1] (numeric) = -0.005388954300666799 absolute error = 4.926883553912909e-13 relative error = 9.142559536741367e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.707999999999907 y2[1] (analytic) = -0.9999903684410522 y2[1] (numeric) = -0.9999903684414586 absolute error = 4.064526493152698e-13 relative error = 4.064565641256269e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.004388966293866118 y1[1] (numeric) = -0.004388966293373358 absolute error = 4.927603464155439e-13 relative error = 1.122725292067543e-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) = -0.999994257411472 y2[1] (numeric) = -0.9999942574118785 absolute error = 4.065636716177323e-13 relative error = 4.065660063590164e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.003388973897606821 y1[1] (numeric) = -0.003388973897113988 absolute error = 4.928327711206659e-13 relative error = 1.45422415755013e-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) = -0.9999971463877178 y2[1] (numeric) = -0.9999971463881244 absolute error = 4.066746939201948e-13 relative error = 4.066758544154079e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.002388978112373909 y1[1] (numeric) = -0.002388978111881003 absolute error = 4.92905629506657e-13 relative error = 2.063248829922768e-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) = -0.9999990353669004 y2[1] (numeric) = -0.9999990353673073 absolute error = 4.068967385251199e-13 relative error = 4.068971310315606e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.001388979938163083 y1[1] (numeric) = -0.001388979937670105 absolute error = 4.929782710522135e-13 relative error = 3.549210881362146e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.711999999999908 y2[1] (analytic) = -0.999999924347131 y2[1] (numeric) = -0.999999924347538 absolute error = 4.070077608275824e-13 relative error = 4.070077916188895e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = -0.0003889803749724351 y1[1] (numeric) = -0.0003889803744793838 absolute error = 4.930512920685304e-13 relative error = 1.267547989030218e-07 % Correct digits = 8 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.712999999999909 y2[1] (analytic) = -0.9999998133275207 y2[1] (numeric) = -0.9999998133279278 absolute error = 4.070077608275824e-13 relative error = 4.070078368047444e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.0006110195771985554 y1[1] (numeric) = 0.0006110195776916798 absolute error = 4.931244215050645e-13 relative error = 8.070517539977611e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.713999999999909 y2[1] (analytic) = -0.9999987023081803 y2[1] (numeric) = -0.9999987023085876 absolute error = 4.072298054325074e-13 relative error = 4.072303338919804e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.00161101891835002 y1[1] (numeric) = 0.001611018918843217 absolute error = 4.9319749673149e-13 relative error = 3.061401024617484e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.714999999999909 y2[1] (analytic) = -0.999996591290221 y2[1] (numeric) = -0.9999965912906283 absolute error = 4.073408277349699e-13 relative error = 4.073422162463658e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.0026110166484827 y1[1] (numeric) = 0.002611016648975971 absolute error = 4.932707887983501e-13 relative error = 1.88919051544538e-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) = -0.9999934802757537 y2[1] (numeric) = -0.9999934802761612 absolute error = 4.074518500374325e-13 relative error = 4.074545065284579e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.003611011767598949 y1[1] (numeric) = 0.003611011768092294 absolute error = 4.933445145460791e-13 relative error = 1.366222394988527e-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) = -0.9999893692678895 y2[1] (numeric) = -0.9999893692682971 absolute error = 4.07562872339895e-13 relative error = 4.075672050776692e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.004611003275703732 y1[1] (numeric) = 0.00461100327619715 absolute error = 4.934178066129391e-13 relative error = 1.070087738199738e-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) = -0.9999842582707393 y2[1] (numeric) = -0.999984258271147 absolute error = 4.076738946423575e-13 relative error = 4.076803122354576e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.005610990172805623 y1[1] (numeric) = 0.005610990173299115 absolute error = 4.934923997224061e-13 relative error = 8.795103618505336e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.718999999999911 y2[1] (analytic) = -0.9999781472894143 y2[1] (numeric) = -0.999978147289822 absolute error = 4.0778491694482e-13 relative error = 4.077938283453295e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.006610971458917809 y1[1] (numeric) = 0.006610971459411375 absolute error = 4.935661254701351e-13 relative error = 7.465863807418857e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.719999999999911 y2[1] (analytic) = -0.9999710363300252 y2[1] (numeric) = -0.999971036330433 absolute error = 4.078959392472825e-13 relative error = 4.079077537528424e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.007610946134059087 y1[1] (numeric) = 0.007610946134552727 absolute error = 4.936398512178641e-13 relative error = 6.485919654703889e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.720999999999911 y2[1] (analytic) = -0.999962925399683 y2[1] (numeric) = -0.9999629254000911 absolute error = 4.081179838522075e-13 relative error = 4.081331152243306e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.008610913198254865 y1[1] (numeric) = 0.00861091319874858 absolute error = 4.937144443273311e-13 relative error = 5.733589840708068e-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) = -0.9999538145064989 y2[1] (numeric) = -0.9999538145069071 absolute error = 4.082290061546701e-13 relative error = 4.082478612836142e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.009610871651538162 y1[1] (numeric) = 0.009610871652031951 absolute error = 4.937890374367981e-13 relative error = 5.137817414903987e-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) = -0.9999437036595836 y2[1] (numeric) = -0.999943703659992 absolute error = 4.083400284571326e-13 relative error = 4.083630178005961e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.01061082049395061 y1[1] (numeric) = 0.01061082049444447 absolute error = 4.938618958227892e-13 relative error = 4.654323349493542e-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) = -0.999932592869048 y2[1] (numeric) = -0.9999325928694565 absolute error = 4.084510507595951e-13 relative error = 4.08478585129074e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.01161075872554345 y1[1] (numeric) = 0.01161075872603738 absolute error = 4.939364889322562e-13 relative error = 4.254127577774959e-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) = -0.9999204821460028 y2[1] (numeric) = -0.9999204821464114 absolute error = 4.085620730620576e-13 relative error = 4.08594563624912e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.01261068534637852 y1[1] (numeric) = 0.01261068534687254 absolute error = 4.940128167651991e-13 relative error = 3.917414503622258e-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) = -0.9999073715025587 y2[1] (numeric) = -0.9999073715029675 absolute error = 4.087841176669826e-13 relative error = 4.088219862332884e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.01361059935652931 y1[1] (numeric) = 0.0136105993570234 absolute error = 4.940874098746662e-13 relative error = 3.630166438171155e-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) = -0.9998932609518265 y2[1] (numeric) = -0.9998932609522354 absolute error = 4.088951399694452e-13 relative error = 4.089387897066197e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.01461049975608187 y1[1] (numeric) = 0.01461049975657603 absolute error = 4.941620029841332e-13 relative error = 3.382238877752486e-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) = -0.9998781505079167 y2[1] (numeric) = -0.9998781505083257 absolute error = 4.090061622719077e-13 relative error = 4.090560055384161e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.01561038554513589 y1[1] (numeric) = 0.01561038554563013 absolute error = 4.942365960936002e-13 relative error = 3.166075524941801e-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) = -0.9998620401859397 y2[1] (numeric) = -0.9998620401863488 absolute error = 4.091171845743702e-13 relative error = 4.09173634092848e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.01661025572380567 y1[1] (numeric) = 0.01661025572429998 absolute error = 4.943094544795912e-13 relative error = 2.975929225286708e-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) = -0.9998449300020059 y2[1] (numeric) = -0.9998449300024151 absolute error = 4.092282068768327e-13 relative error = 4.092916757361681e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.01761010929222111 y1[1] (numeric) = 0.0176101092927155 absolute error = 4.943857823125342e-13 relative error = 2.807397581177526e-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) = -0.9998268199732253 y2[1] (numeric) = -0.9998268199736348 absolute error = 4.094502514817577e-13 relative error = 4.095211723693535e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.01860994525052873 y1[1] (numeric) = 0.01860994525102318 absolute error = 4.944586406985252e-13 relative error = 2.656959136859777e-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) = -0.9998077101177081 y2[1] (numeric) = -0.9998077101181176 absolute error = 4.095612737842202e-13 relative error = 4.096400434199515e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.01960976259889264 y1[1] (numeric) = 0.01960976259938717 absolute error = 4.945349685314682e-13 relative error = 2.521881466119302e-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) = -0.9997876004545642 y2[1] (numeric) = -0.9997876004549737 absolute error = 4.095612737842202e-13 relative error = 4.096482828932954e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.02060956033749559 y1[1] (numeric) = 0.0206095603379902 absolute error = 4.946112963644111e-13 relative error = 2.399911925653989e-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) = -0.9997664910039029 y2[1] (numeric) = -0.9997664910043127 absolute error = 4.097833183891453e-13 relative error = 4.098790288296886e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.02160933746653992 y1[1] (numeric) = 0.0216093374670346 absolute error = 4.946876241973541e-13 relative error = 2.289230870512956e-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) = -0.9997443817868341 y2[1] (numeric) = -0.999744381787244 absolute error = 4.098943406916078e-13 relative error = 4.099991439401813e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.02260909298624858 y1[1] (numeric) = 0.02260909298674334 absolute error = 4.947639520302971e-13 relative error = 2.188340559841233e-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) = -0.9997212728254669 y2[1] (numeric) = -0.9997212728258769 absolute error = 4.100053629940703e-13 relative error = 4.101196744921619e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.02360882589686614 y1[1] (numeric) = 0.02360882589736098 absolute error = 4.948368104162881e-13 relative error = 2.095982293138827e-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) = -0.99969716414291 y2[1] (numeric) = -0.9996971641433202 absolute error = 4.102274075989953e-13 relative error = 4.103516768007476e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.02460853519865978 y1[1] (numeric) = 0.02460853519915469 absolute error = 4.949131382492311e-13 relative error = 2.011144240215423e-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) = -0.9996720557632723 y2[1] (numeric) = -0.9996720557636827 absolute error = 4.103384299014579e-13 relative error = 4.104730421699696e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.02560821989192026 y1[1] (numeric) = 0.02560821989241525 absolute error = 4.94992935529126e-13 relative error = 1.932945505850264e-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) = -0.9996459477116622 y2[1] (numeric) = -0.9996459477120727 absolute error = 4.105604745063829e-13 relative error = 4.107058858651072e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.02660787897696298 y1[1] (numeric) = 0.02660787897745805 absolute error = 4.95069263362069e-13 relative error = 1.860611527099542e-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) = -0.9996188400141877 y2[1] (numeric) = -0.9996188400145983 absolute error = 4.106714968088454e-13 relative error = 4.108280880370529e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.02760751145412895 y1[1] (numeric) = 0.0276075114546241 absolute error = 4.95145591195012e-13 relative error = 1.793517651953952e-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) = -0.9995907326979564 y2[1] (numeric) = -0.9995907326983672 absolute error = 4.107825191113079e-13 relative error = 4.109507077987617e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.02860711632378576 y1[1] (numeric) = 0.02860711632428099 absolute error = 4.95221919027955e-13 relative error = 1.731114431188565e-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) = -0.9995616257910758 y2[1] (numeric) = -0.9995616257914867 absolute error = 4.108935414137704e-13 relative error = 4.110737455417819e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.02960669258632864 y1[1] (numeric) = 0.02960669258682394 absolute error = 4.95298246860898e-13 relative error = 1.672926637842721e-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) = -0.9995315193226526 y2[1] (numeric) = -0.9995315193230636 absolute error = 4.11004563716233e-13 relative error = 4.111972016597899e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.03060623924218139 y1[1] (numeric) = 0.03060623924267677 absolute error = 4.953745746938409e-13 relative error = 1.618541143764954e-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) = -0.9995004133227935 y2[1] (numeric) = -0.9995004133232046 absolute error = 4.111155860186955e-13 relative error = 4.113210765485934e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.03160575529179745 y1[1] (numeric) = 0.0316057552922929 absolute error = 4.954509025267839e-13 relative error = 1.567597097277301e-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) = -0.9994683078226043 y2[1] (numeric) = -0.9994683078230155 absolute error = 4.11226608321158e-13 relative error = 4.11445370606135e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.03260523973566086 y1[1] (numeric) = 0.03260523973615639 absolute error = 4.955272303597269e-13 relative error = 1.519777908020597e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.74599999999992 y2[1] (analytic) = -0.9994352028541905 y2[1] (numeric) = -0.999435202854602 absolute error = 4.11448652926083e-13 relative error = 4.116811692754733e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.03360469157428725 y1[1] (numeric) = 0.03360469157478285 absolute error = 4.956035581926699e-13 relative error = 1.47480466260813e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.74699999999992 y2[1] (analytic) = -0.9994010984506573 y2[1] (numeric) = -0.9994010984510688 absolute error = 4.115596752285455e-13 relative error = 4.118063066636355e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.03460410980822486 y1[1] (numeric) = 0.03460410980872054 absolute error = 4.956868249195168e-13 relative error = 1.432450733934788e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.74799999999992 y2[1] (analytic) = -0.9993659946461088 y2[1] (numeric) = -0.9993659946465205 absolute error = 4.117817198334706e-13 relative error = 4.120429572744157e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.03560349343805554 y1[1] (numeric) = 0.03560349343855131 absolute error = 4.957631527524597e-13 relative error = 1.392456483561113e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.748999999999921 y2[1] (analytic) = -0.999329891475649 y2[1] (numeric) = -0.9993298914760609 absolute error = 4.118927421359331e-13 relative error = 4.121689400561374e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.03660284146439576 y1[1] (numeric) = 0.0366028414648916 absolute error = 4.958394805854027e-13 relative error = 1.3546475102697e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.749999999999921 y2[1] (analytic) = -0.9992927889753809 y2[1] (numeric) = -0.999292788975793 absolute error = 4.121147867408581e-13 relative error = 4.124064451254748e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.03760215288789756 y1[1] (numeric) = 0.03760215288839348 absolute error = 4.959227473122496e-13 relative error = 1.318867961605105e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.750999999999921 y2[1] (analytic) = -0.9992546871824072 y2[1] (numeric) = -0.9992546871828194 absolute error = 4.122258090433206e-13 relative error = 4.125332753811457e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.03860142670924961 y1[1] (numeric) = 0.03860142670974561 absolute error = 4.959990751451926e-13 relative error = 1.284924204696149e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.751999999999922 y2[1] (analytic) = -0.9992155861348295 y2[1] (numeric) = -0.9992155861352419 absolute error = 4.123368313457831e-13 relative error = 4.126605279855436e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.03960066192917817 y1[1] (numeric) = 0.03960066192967424 absolute error = 4.960754029781356e-13 relative error = 1.252694724813734e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.752999999999922 y2[1] (analytic) = -0.999175485871749 y2[1] (numeric) = -0.9991754858721615 absolute error = 4.125588759507082e-13 relative error = 4.128993172713436e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.04059985754844809 y1[1] (numeric) = 0.04059985754894425 absolute error = 4.961586697049825e-13 relative error = 1.222069976755246e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.753999999999922 y2[1] (analytic) = -0.9991343864332659 y2[1] (numeric) = -0.9991343864336786 absolute error = 4.126698982531707e-13 relative error = 4.130274203916949e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.04159901256786385 y1[1] (numeric) = 0.04159901256836009 absolute error = 4.962349975379254e-13 relative error = 1.192900905348118e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.754999999999923 y2[1] (analytic) = -0.9990922878604797 y2[1] (numeric) = -0.9990922878608924 absolute error = 4.127809205556332e-13 relative error = 4.131559472244439e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.04259812598827051 y1[1] (numeric) = 0.04259812598876683 absolute error = 4.963113253708684e-13 relative error = 1.165101313394699e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.755999999999923 y2[1] (analytic) = -0.9990491901954887 y2[1] (numeric) = -0.9990491901959017 absolute error = 4.130029651605582e-13 relative error = 4.133960261553728e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.04359719681055473 y1[1] (numeric) = 0.04359719681105113 absolute error = 4.963945920977153e-13 relative error = 1.13859291058259e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.756999999999923 y2[1] (analytic) = -0.9990050934813909 y2[1] (numeric) = -0.999005093481804 absolute error = 4.131139874630207e-13 relative error = 4.135254065856433e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.04459622403564577 y1[1] (numeric) = 0.04459622403614225 absolute error = 4.964778588245622e-13 relative error = 1.113273308582644e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.757999999999924 y2[1] (analytic) = -0.9989599977622828 y2[1] (numeric) = -0.9989599977626961 absolute error = 4.132250097654833e-13 relative error = 4.136552121117228e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.0455952066645165 y1[1] (numeric) = 0.04559520666501306 absolute error = 4.965541866575052e-13 relative error = 1.089049097443697e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.758999999999924 y2[1] (analytic) = -0.9989139030832602 y2[1] (numeric) = -0.9989139030836736 absolute error = 4.133360320679458e-13 relative error = 4.137854431619558e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.04659414369818436 y1[1] (numeric) = 0.046594143698681 absolute error = 4.966374533843521e-13 relative error = 1.06587955903073e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.759999999999924 y2[1] (analytic) = -0.9988668094904177 y2[1] (numeric) = -0.9988668094908313 absolute error = 4.135580766728708e-13 relative error = 4.140272484214905e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.0475930341377124 y1[1] (numeric) = 0.04759303413820912 absolute error = 4.967207201111989e-13 relative error = 1.043683658986559e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.760999999999925 y2[1] (analytic) = -0.9988187170308491 y2[1] (numeric) = -0.9988187170312628 absolute error = 4.136690989753333e-13 relative error = 4.141583371655588e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.04859187698421027 y1[1] (numeric) = 0.04859187698470708 absolute error = 4.968039868380458e-13 relative error = 1.022401309995661e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.761999999999925 y2[1] (analytic) = -0.9987696257526466 y2[1] (numeric) = -0.9987696257530605 absolute error = 4.138911435802584e-13 relative error = 4.144010119133938e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.04959067123883521 y1[1] (numeric) = 0.0495906712393321 absolute error = 4.968872535648927e-13 relative error = 1.001977269417908e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.762999999999925 y2[1] (analytic) = -0.9987195357049016 y2[1] (numeric) = -0.9987195357053157 absolute error = 4.141131881851834e-13 relative error = 4.146441251826521e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.05058941590279305 y1[1] (numeric) = 0.05058941590329001 absolute error = 4.969635813978357e-13 relative error = 9.823469445718552e-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) = -0.9986684469377041 y2[1] (numeric) = -0.9986684469381184 absolute error = 4.143352327901084e-13 relative error = 4.148876777479225e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.05158810997733919 y1[1] (numeric) = 0.05158810997783624 absolute error = 4.970468481246826e-13 relative error = 9.634910996797857e-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) = -0.9986163595021429 y2[1] (numeric) = -0.9986163595025573 absolute error = 4.144462550925709e-13 relative error = 4.15020494255864e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.05258675246377965 y1[1] (numeric) = 0.05258675246427678 absolute error = 4.971301148515295e-13 relative error = 9.453523778520823e-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) = -0.9985632734503055 y2[1] (numeric) = -0.99856327345072 absolute error = 4.145572773950335e-13 relative error = 4.151537397952022e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.05358534236347204 y1[1] (numeric) = 0.05358534236396925 absolute error = 4.972133815783764e-13 relative error = 9.278906500321549e-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) = -0.9985091888352777 y2[1] (numeric) = -0.9985091888356925 absolute error = 4.147793219999585e-13 relative error = 4.153986028749345e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.05458387867782653 y1[1] (numeric) = 0.05458387867832382 absolute error = 4.972897094113193e-13 relative error = 9.110560140778932e-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) = -0.9984541057111443 y2[1] (numeric) = -0.9984541057115593 absolute error = 4.150013666048835e-13 relative error = 4.156439081486882e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.05558236040830688 y1[1] (numeric) = 0.05558236040880425 absolute error = 4.973729761381662e-13 relative error = 8.948396082578619e-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) = -0.9983980241329885 y2[1] (numeric) = -0.9983980241334036 absolute error = 4.15112388907346e-13 relative error = 4.15778455959817e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.05658078655643146 y1[1] (numeric) = 0.05658078655692891 absolute error = 4.974493039711092e-13 relative error = 8.791841440291268e-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) = -0.9983409441568918 y2[1] (numeric) = -0.998340944157307 absolute error = 4.152234112098085e-13 relative error = 4.159134348240806e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.0575791561237742 y1[1] (numeric) = 0.05757915612427173 absolute error = 4.975325706979561e-13 relative error = 8.640845128546907e-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) = -0.998282865839934 y2[1] (numeric) = -0.9982828658403494 absolute error = 4.154454558147336e-13 relative error = 4.161600584671826e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.05857746811196561 y1[1] (numeric) = 0.05857746811246323 absolute error = 4.97615837424803e-13 relative error = 8.495004196385795e-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) = -0.9982237892401936 y2[1] (numeric) = -0.9982237892406092 absolute error = 4.155564781171961e-13 relative error = 4.162959073871606e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.0595757215226938 y1[1] (numeric) = 0.05957572152319149 absolute error = 4.97692165257746e-13 relative error = 8.353942722593184e-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) = -0.9981637144167471 y2[1] (numeric) = -0.9981637144171629 absolute error = 4.157785227221211e-13 relative error = 4.165434153906018e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.06057391535770542 y1[1] (numeric) = 0.0605739153582032 absolute error = 4.977754319845928e-13 relative error = 8.217653243068303e-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) = -0.9981026414296694 y2[1] (numeric) = -0.9981026414300853 absolute error = 4.158895450245836e-13 relative error = 4.166801366529487e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.06157204861880673 y1[1] (numeric) = 0.06157204861930459 absolute error = 4.978586987114397e-13 relative error = 8.085790709899694e-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) = -0.9980405703400335 y2[1] (numeric) = -0.9980405703404495 absolute error = 4.160005673270462e-13 relative error = 4.168172914907801e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.06257012030786456 y1[1] (numeric) = 0.0625701203083625 absolute error = 4.979350265443827e-13 relative error = 7.958032110125194e-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) = -0.9979775012099104 y2[1] (numeric) = -0.9979775012103265 absolute error = 4.161115896295087e-13 relative error = 4.169548803705802e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.0635681294268073 y1[1] (numeric) = 0.06356812942730532 absolute error = 4.980182932712296e-13 relative error = 7.834402203774938e-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) = -0.9979134341023692 y2[1] (numeric) = -0.9979134341027854 absolute error = 4.162226119319712e-13 relative error = 4.170929037611029e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.0645660749776259 y1[1] (numeric) = 0.064566074978124 absolute error = 4.981015599980765e-13 relative error = 7.714601827208542e-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) = -0.9978483690814771 y2[1] (numeric) = -0.9978483690818934 absolute error = 4.163336342344337e-13 relative error = 4.172313621333773e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.06556395596237491 y1[1] (numeric) = 0.06556395596287309 absolute error = 4.981848267249234e-13 relative error = 7.59845588040502e-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) = -0.997782306212299 y2[1] (numeric) = -0.9977823062127156 absolute error = 4.165556788393587e-13 relative error = 4.174815250238841e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.06656177138317342 y1[1] (numeric) = 0.06656177138367168 absolute error = 4.982680934517703e-13 relative error = 7.485799778125056e-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) = -0.997715245560898 y2[1] (numeric) = -0.9977152455613146 absolute error = 4.166667011418212e-13 relative error = 4.176208622607331e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.06755952024220609 y1[1] (numeric) = 0.06755952024270444 absolute error = 4.983513601786171e-13 relative error = 7.376478672317227e-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) = -0.9976471871943344 y2[1] (numeric) = -0.9976471871947513 absolute error = 4.168887457467463e-13 relative error = 4.17871920151607e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.06855720154172415 y1[1] (numeric) = 0.06855720154222258 absolute error = 4.98434626905464e-13 relative error = 7.270346742524416e-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) = -0.9975781311806668 y2[1] (numeric) = -0.9975781311810838 absolute error = 4.169997680492088e-13 relative error = 4.180121386138204e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.06955481428404638 y1[1] (numeric) = 0.06955481428454489 absolute error = 4.985178936323109e-13 relative error = 7.167266547452414e-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) = -0.9975080775889512 y2[1] (numeric) = -0.9975080775893683 absolute error = 4.171107903516713e-13 relative error = 4.181527946719571e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.07055235747156012 y1[1] (numeric) = 0.07055235747205872 absolute error = 4.986011603591578e-13 relative error = 7.06710843163739e-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) = -0.9974370264892412 y2[1] (numeric) = -0.9974370264896584 absolute error = 4.172218126541338e-13 relative error = 4.182938888108684e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.07154983010672226 y1[1] (numeric) = 0.07154983010722095 absolute error = 4.986844270860047e-13 relative error = 6.969749981826333e-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) = -0.9973649779525877 y2[1] (numeric) = -0.997364977953005 absolute error = 4.173328349565963e-13 relative error = 4.184354215177138e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.07254723119206027 y1[1] (numeric) = 0.07254723119255904 absolute error = 4.987676938128516e-13 relative error = 6.875075528277884e-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) = -0.9972919320510394 y2[1] (numeric) = -0.9972919320514569 absolute error = 4.175548795615214e-13 relative error = 4.186887170567742e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.07354455973017314 y1[1] (numeric) = 0.07354455973067199 absolute error = 4.988509605396985e-13 relative error = 6.782975686711941e-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) = -0.9972178888576422 y2[1] (numeric) = -0.9972178888580598 absolute error = 4.176659018639839e-13 relative error = 4.188311366359853e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.07454181472373239 y1[1] (numeric) = 0.07454181472423134 absolute error = 4.989481050543532e-13 relative error = 6.693533111630829e-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) = -0.9971428484464392 y2[1] (numeric) = -0.997142848446857 absolute error = 4.177769241664464e-13 relative error = 4.189739963710796e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.07553899517548314 y1[1] (numeric) = 0.07553899517598217 absolute error = 4.990313717812001e-13 relative error = 6.60627495271694e-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) = -0.9970668108924708 y2[1] (numeric) = -0.9970668108928887 absolute error = 4.178879464689089e-13 relative error = 4.191172967585381e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.076536100088245 y1[1] (numeric) = 0.07653610008874412 absolute error = 4.991146385080469e-13 relative error = 6.521296981850069e-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) = -0.9969897762717747 y2[1] (numeric) = -0.9969897762721928 absolute error = 4.18109991073834e-13 relative error = 4.193723958106659e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.07753312846491316 y1[1] (numeric) = 0.07753312846541235 absolute error = 4.991979052348938e-13 relative error = 6.438511061253008e-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) = -0.9969117446613853 y2[1] (numeric) = -0.9969117446618035 absolute error = 4.182210133762965e-13 relative error = 4.195165877179539e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.0785300793084593 y1[1] (numeric) = 0.0785300793089586 absolute error = 4.992950497495485e-13 relative error = 6.358010257297221e-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) = -0.9968327161393343 y2[1] (numeric) = -0.9968327161397528 absolute error = 4.184430579812215e-13 relative error = 4.197725969526995e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.0795269516219327 y1[1] (numeric) = 0.07952695162243208 absolute error = 4.993783164763954e-13 relative error = 6.279359466089131e-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) = -0.9967526907846503 y2[1] (numeric) = -0.9967526907850689 absolute error = 4.18554080283684e-13 relative error = 4.199176828448745e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.08052374440846109 y1[1] (numeric) = 0.08052374440896055 absolute error = 4.994615832032423e-13 relative error = 6.202662169678748e-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) = -0.9966716686773587 y2[1] (numeric) = -0.9966716686777773 absolute error = 4.186651025861465e-13 relative error = 4.200632121325767e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.08152045667125178 y1[1] (numeric) = 0.08152045667175134 absolute error = 4.99558727717897e-13 relative error = 6.128016796231547e-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) = -0.9965896498984813 y2[1] (numeric) = -0.9965896498989002 absolute error = 4.188871471910716e-13 relative error = 4.203205875494913e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.08251708741359259 y1[1] (numeric) = 0.08251708741409224 absolute error = 4.996419944447439e-13 relative error = 6.055012484146897e-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) = -0.9965066345300371 y2[1] (numeric) = -0.9965066345304562 absolute error = 4.191091917959966e-13 relative error = 4.205784259466099e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.08351363563885288 y1[1] (numeric) = 0.0835136356393526 absolute error = 4.997252611715908e-13 relative error = 5.983756512919725e-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) = -0.9964226226550414 y2[1] (numeric) = -0.9964226226554607 absolute error = 4.192202140984591e-13 relative error = 4.207253072811775e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.08451010035048448 y1[1] (numeric) = 0.08451010035098429 absolute error = 4.998085278984377e-13 relative error = 5.91418689394057e-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) = -0.9963376143575061 y2[1] (numeric) = -0.9963376143579256 absolute error = 4.194422587033841e-13 relative error = 4.209840646976516e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.08550648055202277 y1[1] (numeric) = 0.08550648055252266 absolute error = 4.998917946252845e-13 relative error = 5.846244534894015e-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) = -0.9962516097224394 y2[1] (numeric) = -0.9962516097228591 absolute error = 4.196643033083092e-13 relative error = 4.212432875518562e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.08650277524708763 y1[1] (numeric) = 0.08650277524758761 absolute error = 4.999750613521314e-13 relative error = 5.779873072557456e-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) = -0.9961646088358461 y2[1] (numeric) = -0.9961646088362659 absolute error = 4.197753256107717e-13 relative error = 4.213915269498846e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.08749898343938446 y1[1] (numeric) = 0.08749898343988452 absolute error = 5.000583280789783e-13 relative error = 5.71501871705055e-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) = -0.996076611784727 y2[1] (numeric) = -0.9960766117851469 absolute error = 4.199973702156967e-13 relative error = 4.216516734221514e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.08849510413270514 y1[1] (numeric) = 0.08849510413320529 absolute error = 5.001415948058252e-13 relative error = 5.651630106630812e-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) = -0.9959876186570791 y2[1] (numeric) = -0.9959876186574992 absolute error = 4.201083925181592e-13 relative error = 4.218008182517413e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.08949113633092906 y1[1] (numeric) = 0.0894911363314293 absolute error = 5.002387393204799e-13 relative error = 5.589813246651024e-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) = -0.9958976295418954 y2[1] (numeric) = -0.9958976295423158 absolute error = 4.203304371230843e-13 relative error = 4.220618913576818e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.09048707903802411 y1[1] (numeric) = 0.09048707903852443 absolute error = 5.003220060473268e-13 relative error = 5.529209378469201e-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) = -0.9958066445291652 y2[1] (numeric) = -0.9958066445295858 absolute error = 4.205524817280093e-13 relative error = 4.223234340104788e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.09148293125804766 y1[1] (numeric) = 0.09148293125854808 absolute error = 5.004191505619815e-13 relative error = 5.47008216374746e-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) = -0.9957146637098736 y2[1] (numeric) = -0.9957146637102943 absolute error = 4.206635040304718e-13 relative error = 4.224739469670426e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.09247869199514756 y1[1] (numeric) = 0.09247869199564808 absolute error = 5.005162950766362e-13 relative error = 5.412233718691639e-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) = -0.9956216871760012 y2[1] (numeric) = -0.995621687176422 absolute error = 4.207745263329343e-13 relative error = 4.226249103978707e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.09347436025356319 y1[1] (numeric) = 0.09347436025406379 absolute error = 5.005995618034831e-13 relative error = 5.355474596943289e-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) = -0.9955277150205245 y2[1] (numeric) = -0.9955277150209455 absolute error = 4.209965709378594e-13 relative error = 4.228878458990765e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.09446993503762635 y1[1] (numeric) = 0.09446993503812703 absolute error = 5.0068282853033e-13 relative error = 5.299917146454197e-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) = -0.9954327473374158 y2[1] (numeric) = -0.9954327473378369 absolute error = 4.211075932403219e-13 relative error = 4.230397225394691e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.09546541535176235 y1[1] (numeric) = 0.09546541535226312 absolute error = 5.007660952571769e-13 relative error = 5.245523663328747e-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) = -0.9953367842216427 y2[1] (numeric) = -0.9953367842220641 absolute error = 4.213296378452469e-13 relative error = 4.233035938430913e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.09646080020049096 y1[1] (numeric) = 0.09646080020099181 absolute error = 5.008493619840237e-13 relative error = 5.192258004733767e-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) = -0.9952398257691684 y2[1] (numeric) = -0.9952398257695899 absolute error = 4.215516824501719e-13 relative error = 4.235679396414597e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.09745608858842739 y1[1] (numeric) = 0.09745608858892833 absolute error = 5.009465064986784e-13 relative error = 5.140227909353673e-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) = -0.9951418720769512 y2[1] (numeric) = -0.9951418720773729 absolute error = 4.21773727055097e-13 relative error = 4.238327608251646e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.09845127952028336 y1[1] (numeric) = 0.09845127952078439 absolute error = 5.010297732255253e-13 relative error = 5.08911388116902e-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) = -0.9950429232429449 y2[1] (numeric) = -0.9950429232433667 absolute error = 4.218847493575595e-13 relative error = 4.239864828972349e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.09944637200086802 y1[1] (numeric) = 0.09944637200136913 absolute error = 5.011130399523722e-13 relative error = 5.039027868688847e-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) = -0.9949429793660981 y2[1] (numeric) = -0.9949429793665202 absolute error = 4.221067939624845e-13 relative error = 4.24252246326135e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.100441365035089 y1[1] (numeric) = 0.1004413650355902 absolute error = 5.011963066792191e-13 relative error = 4.989939219803786e-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) = -0.9948420405463551 y2[1] (numeric) = -0.9948420405467773 absolute error = 4.22217816264947e-13 relative error = 4.244068897943539e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1014362576279532 y1[1] (numeric) = 0.1014362576284545 absolute error = 5.012934511938738e-13 relative error = 4.94195530194452e-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) = -0.9947401068846543 y2[1] (numeric) = -0.9947401068850766 absolute error = 4.223288385674095e-13 relative error = 4.245619892517121e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1024310487845683 y1[1] (numeric) = 0.1024310487850697 absolute error = 5.013767179207207e-13 relative error = 4.894772863013536e-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) = -0.9946371784829295 y2[1] (numeric) = -0.9946371784833521 absolute error = 4.225508831723346e-13 relative error = 4.248291661657273e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1034257375101432 y1[1] (numeric) = 0.1034257375106447 absolute error = 5.014599846475676e-13 relative error = 4.848502865144068e-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) = -0.9945332554441092 y2[1] (numeric) = -0.9945332554445319 absolute error = 4.226619054747971e-13 relative error = 4.249851909537779e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1044203228099892 y1[1] (numeric) = 0.1044203228104907 absolute error = 5.015571291622223e-13 relative error = 4.803252045819589e-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) = -0.9944283378721163 y2[1] (numeric) = -0.9944283378725391 absolute error = 4.228839500797221e-13 relative error = 4.25253317885743e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.105414803689521 y1[1] (numeric) = 0.1054148036900227 absolute error = 5.01654273676877e-13 relative error = 4.758859819673933e-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) = -0.9943224258718683 y2[1] (numeric) = -0.9943224258722914 absolute error = 4.231059946846472e-13 relative error = 4.255219269681543e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1064091791542579 y1[1] (numeric) = 0.1064091791547597 absolute error = 5.017375404037239e-13 relative error = 4.715171608234767e-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) = -0.9942155195492773 y2[1] (numeric) = -0.9942155195497006 absolute error = 4.232170169871097e-13 relative error = 4.256793508704964e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1074034482098246 y1[1] (numeric) = 0.1074034482103264 absolute error = 5.018208071305708e-13 relative error = 4.672296983893923e-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) = -0.9941076190112498 y2[1] (numeric) = -0.9941076190116731 absolute error = 4.233280392895722e-13 relative error = 4.258372345145275e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.108397609861952 y1[1] (numeric) = 0.1083976098624539 absolute error = 5.019179516452255e-13 relative error = 4.630341501850777e-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) = -0.9939987243656859 y2[1] (numeric) = -0.9939987243661095 absolute error = 4.235500838944972e-13 relative error = 4.261072710780218e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1093916631164786 y1[1] (numeric) = 0.1093916631169806 absolute error = 5.020012183720723e-13 relative error = 4.589026293873501e-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) = -0.9938888357214806 y2[1] (numeric) = -0.9938888357219043 absolute error = 4.237721284994223e-13 relative error = 4.26377793238616e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1103856069793512 y1[1] (numeric) = 0.1103856069798533 absolute error = 5.02098362886727e-13 relative error = 4.548585423647216e-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) = -0.9937779531885224 y2[1] (numeric) = -0.9937779531889462 absolute error = 4.238831508018848e-13 relative error = 4.26537084508528e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1113794404566259 y1[1] (numeric) = 0.1113794404571281 absolute error = 5.021955074013817e-13 relative error = 4.508870805442319e-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) = -0.9936660768776937 y2[1] (numeric) = -0.9936660768781178 absolute error = 4.241051954068098e-13 relative error = 4.268085680648743e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1123731625544696 y1[1] (numeric) = 0.1123731625549718 absolute error = 5.022787741282286e-13 relative error = 4.469739595383941e-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) = -0.993553206900871 y2[1] (numeric) = -0.9935532069012953 absolute error = 4.243272400117348e-13 relative error = 4.270805398890639e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.11336677227916 y1[1] (numeric) = 0.1133667722796624 absolute error = 5.023759186428833e-13 relative error = 4.43142120519942e-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) = -0.9934393433709242 y2[1] (numeric) = -0.9934393433713488 absolute error = 4.245492846166599e-13 relative error = 4.273530009150687e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1143602686370876 y1[1] (numeric) = 0.1143602686375901 absolute error = 5.02473063157538e-13 relative error = 4.393773022273083e-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) = -0.9933244864017169 y2[1] (numeric) = -0.9933244864021415 absolute error = 4.246603069191224e-13 relative error = 4.275141836656412e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1153536506347561 y1[1] (numeric) = 0.1153536506352586 absolute error = 5.025563298843849e-13 relative error = 4.35665734997523e-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) = -0.9932086361081058 y2[1] (numeric) = -0.9932086361085307 absolute error = 4.248823515240474e-13 relative error = 4.277876128715025e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1163469172787835 y1[1] (numeric) = 0.1163469172792862 absolute error = 5.026534743990396e-13 relative error = 4.320299034607092e-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) = -0.9930917926059415 y2[1] (numeric) = -0.9930917926063666 absolute error = 4.251043961289724e-13 relative error = 4.280615339831469e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1173400675759034 y1[1] (numeric) = 0.1173400675764062 absolute error = 5.027506189136943e-13 relative error = 4.284560502647414e-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) = -0.9929739560120674 y2[1] (numeric) = -0.9929739560124926 absolute error = 4.25215418431435e-13 relative error = 4.282241400763057e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1183331005329655 y1[1] (numeric) = 0.1183331005334683 absolute error = 5.02847763428349e-13 relative error = 4.24942607912369e-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) = -0.9928551264443199 y2[1] (numeric) = -0.9928551264447454 absolute error = 4.2543746303636e-13 relative error = 4.284990344562811e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1193260151569369 y1[1] (numeric) = 0.1193260151574399 absolute error = 5.029449079430037e-13 relative error = 4.214880613263867e-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) = -0.9927353040215288 y2[1] (numeric) = -0.9927353040219544 absolute error = 4.25659507641285e-13 relative error = 4.287744234711472e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1203188104549031 y1[1] (numeric) = 0.1203188104554062 absolute error = 5.030420524576584e-13 relative error = 4.18090945676532e-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) = -0.9926144888635163 y2[1] (numeric) = -0.9926144888639421 absolute error = 4.257705299437475e-13 relative error = 4.289384597148376e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1213114854340689 y1[1] (numeric) = 0.121311485434572 absolute error = 5.031253191845053e-13 relative error = 4.147384045164849e-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) = -0.9924926810910977 y2[1] (numeric) = -0.9924926810915237 absolute error = 4.259925745486726e-13 relative error = 4.29214827136415e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1223040391017593 y1[1] (numeric) = 0.1223040391022625 absolute error = 5.0322246369916e-13 relative error = 4.114520398467537e-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) = -0.9923698808260807 y2[1] (numeric) = -0.9923698808265069 absolute error = 4.262146191535976e-13 relative error = 4.294916919473642e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1232964704654209 y1[1] (numeric) = 0.1232964704659242 absolute error = 5.033196082138147e-13 relative error = 4.082189914389912e-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) = -0.9922460881912656 y2[1] (numeric) = -0.992246088191692 absolute error = 4.264366637585226e-13 relative error = 4.297690551099685e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1242887785326222 y1[1] (numeric) = 0.1242887785331256 absolute error = 5.034028749406616e-13 relative error = 4.050268100498976e-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) = -0.992121303310445 y2[1] (numeric) = -0.9921213033108716 absolute error = 4.265476860609851e-13 relative error = 4.299350136295924e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1252809623110554 y1[1] (numeric) = 0.1252809623115589 absolute error = 5.035138972431241e-13 relative error = 4.019077503515406e-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) = -0.9919955263084037 y2[1] (numeric) = -0.9919955263088305 absolute error = 4.267697306659102e-13 relative error = 4.302133622054569e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1262730208085367 y1[1] (numeric) = 0.1262730208090403 absolute error = 5.036249195455866e-13 relative error = 3.988381020116842e-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) = -0.9918687573109188 y2[1] (numeric) = -0.9918687573113457 absolute error = 4.268807529683727e-13 relative error = 4.303802794693324e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1272649530330077 y1[1] (numeric) = 0.1272649530335114 absolute error = 5.037081862724335e-13 relative error = 3.957948942485295e-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) = -0.9917409964447592 y2[1] (numeric) = -0.9917409964451863 absolute error = 4.271027975732977e-13 relative error = 4.3065961688021e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1282567579925363 y1[1] (numeric) = 0.1282567579930401 absolute error = 5.03819208574896e-13 relative error = 3.928207889086165e-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) = -0.9916122438376859 y2[1] (numeric) = -0.9916122438381132 absolute error = 4.273248421782228e-13 relative error = 4.309394572664941e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1292484346953175 y1[1] (numeric) = 0.1292484346958215 absolute error = 5.039302308773586e-13 relative error = 3.898927148056324e-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) = -0.9914824996184514 y2[1] (numeric) = -0.9914824996188788 absolute error = 4.274358644806853e-13 relative error = 4.3110782554929e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1302399821496749 y1[1] (numeric) = 0.1302399821501789 absolute error = 5.040134976042054e-13 relative error = 3.869883036569991e-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) = -0.9913517639167998 y2[1] (numeric) = -0.9913517639172275 absolute error = 4.276579090856103e-13 relative error = 4.31388660061437e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.131231399364061 y1[1] (numeric) = 0.1312313993645651 absolute error = 5.040967643310523e-13 relative error = 3.841281635141233e-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) = -0.9912200368634669 y2[1] (numeric) = -0.9912200368638948 absolute error = 4.278799536905353e-13 relative error = 4.31670000381028e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1322226853470586 y1[1] (numeric) = 0.1322226853475628 absolute error = 5.041800310578992e-13 relative error = 3.813112929407881e-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) = -0.9910873185901798 y2[1] (numeric) = -0.9910873185906078 absolute error = 4.279909759929978e-13 relative error = 4.318398267892423e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1332138391073819 y1[1] (numeric) = 0.1332138391078862 absolute error = 5.042910533603617e-13 relative error = 3.785575558361165e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.846999999999953 y2[1] (analytic) = -0.9909536092296567 y2[1] (numeric) = -0.9909536092300849 absolute error = 4.282130205979229e-13 relative error = 4.321221665773086e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1342048596538772 y1[1] (numeric) = 0.1342048596543816 absolute error = 5.043743200872086e-13 relative error = 3.75824185046668e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.847999999999954 y2[1] (analytic) = -0.9908189089156069 y2[1] (numeric) = -0.9908189089160353 absolute error = 4.284350652028479e-13 relative error = 4.324050150311977e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.135195745995524 y1[1] (numeric) = 0.1351957459960285 absolute error = 5.044853423896711e-13 relative error = 3.731517871918642e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.848999999999954 y2[1] (analytic) = -0.9906832177827308 y2[1] (numeric) = -0.9906832177831594 absolute error = 4.285460875053104e-13 relative error = 4.325763067476287e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1361864971414361 y1[1] (numeric) = 0.1361864971419407 absolute error = 5.04568609116518e-13 relative error = 3.704982650317378e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.849999999999954 y2[1] (analytic) = -0.9905465359667195 y2[1] (numeric) = -0.9905465359671483 absolute error = 4.287681321102355e-13 relative error = 4.328601600648486e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1371771121008624 y1[1] (numeric) = 0.1371771121013671 absolute error = 5.046796314189805e-13 relative error = 3.679036711662978e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.850999999999955 y2[1] (analytic) = -0.9904088636042547 y2[1] (numeric) = -0.9904088636046837 absolute error = 4.289901767151605e-13 relative error = 4.331445249328619e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1381675898831881 y1[1] (numeric) = 0.1381675898836928 absolute error = 5.047628981458274e-13 relative error = 3.653265563744525e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.851999999999955 y2[1] (analytic) = -0.9902702008330089 y2[1] (numeric) = -0.9902702008334381 absolute error = 4.292122213200855e-13 relative error = 4.334294023580988e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1391579294979353 y1[1] (numeric) = 0.1391579294984402 absolute error = 5.048739204482899e-13 relative error = 3.628064331438481e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.852999999999955 y2[1] (analytic) = -0.9901305477916447 y2[1] (numeric) = -0.9901305477920741 absolute error = 4.294342659250105e-13 relative error = 4.337147933500354e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1401481299547647 y1[1] (numeric) = 0.1401481299552697 absolute error = 5.049571871751368e-13 relative error = 3.603024794823311e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.853999999999956 y2[1] (analytic) = -0.9899899046198153 y2[1] (numeric) = -0.9899899046202448 absolute error = 4.295452882274731e-13 relative error = 4.338885540377615e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1411381902634758 y1[1] (numeric) = 0.1411381902639808 absolute error = 5.050682094775993e-13 relative error = 3.578536812288308e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.854999999999956 y2[1] (analytic) = -0.9898482714581637 y2[1] (numeric) = -0.9898482714585934 absolute error = 4.297673328323981e-13 relative error = 4.341749591574272e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1421281094340084 y1[1] (numeric) = 0.1421281094345135 absolute error = 5.051514762044462e-13 relative error = 3.554198238589768e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.855999999999956 y2[1] (analytic) = -0.9897056484483232 y2[1] (numeric) = -0.9897056484487531 absolute error = 4.298783551348606e-13 relative error = 4.343497036809186e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1431178864764434 y1[1] (numeric) = 0.1431178864769486 absolute error = 5.052624985069087e-13 relative error = 3.530393795956964e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.856999999999957 y2[1] (analytic) = -0.9895620357329167 y2[1] (numeric) = -0.9895620357333468 absolute error = 4.301003997397856e-13 relative error = 4.346371265357132e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1441075204010038 y1[1] (numeric) = 0.1441075204015092 absolute error = 5.053735208093713e-13 relative error = 3.506919829049054e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.857999999999957 y2[1] (analytic) = -0.9894174334555569 y2[1] (numeric) = -0.9894174334559872 absolute error = 4.303224443447107e-13 relative error = 4.349250678167276e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1450970102180558 y1[1] (numeric) = 0.1450970102185613 absolute error = 5.054845431118338e-13 relative error = 3.483769530138336e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.858999999999957 y2[1] (analytic) = -0.9892718417608461 y2[1] (numeric) = -0.9892718417612766 absolute error = 4.304334666471732e-13 relative error = 4.351013022679658e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1460863549381098 y1[1] (numeric) = 0.1460863549386154 absolute error = 5.055678098386807e-13 relative error = 3.460746282928799e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.859999999999958 y2[1] (analytic) = -0.989125260794376 y2[1] (numeric) = -0.9891252607948067 absolute error = 4.306555112520982e-13 relative error = 4.353902668568333e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1470755535718209 y1[1] (numeric) = 0.1470755535723266 absolute error = 5.056788321411432e-13 relative error = 3.438224911349435e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.860999999999958 y2[1] (analytic) = -0.9889776907027276 y2[1] (numeric) = -0.9889776907031584 absolute error = 4.308775558570233e-13 relative error = 4.356797528474673e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1480646051299908 y1[1] (numeric) = 0.1480646051304966 absolute error = 5.057898544436057e-13 relative error = 3.416007856837602e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.861999999999958 y2[1] (analytic) = -0.9888291316334709 y2[1] (numeric) = -0.9888291316339018 absolute error = 4.309885781594858e-13 relative error = 4.358574847481741e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1490535086235678 y1[1] (numeric) = 0.1490535086240737 absolute error = 5.059008767460682e-13 relative error = 3.394089018217696e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.862999999999959 y2[1] (analytic) = -0.9886795837351648 y2[1] (numeric) = -0.9886795837355961 absolute error = 4.312106227644108e-13 relative error = 4.361479996737933e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1500422630636487 y1[1] (numeric) = 0.1500422630641547 absolute error = 5.059841434729151e-13 relative error = 3.372277471303362e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.863999999999959 y2[1] (analytic) = -0.9885290471573576 y2[1] (numeric) = -0.9885290471577889 absolute error = 4.313216450668733e-13 relative error = 4.363267283922452e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.151030867461479 y1[1] (numeric) = 0.1510308674619851 absolute error = 5.060951657753776e-13 relative error = 3.350938614614388e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.864999999999959 y2[1] (analytic) = -0.9883775220505854 y2[1] (numeric) = -0.988377522051017 absolute error = 4.316547119742609e-13 relative error = 4.367306037866052e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1520193208284544 y1[1] (numeric) = 0.1520193208289606 absolute error = 5.061784325022245e-13 relative error = 3.329698026170105e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.86599999999996 y2[1] (analytic) = -0.9882250085663736 y2[1] (numeric) = -0.9882250085668054 absolute error = 4.317657342767234e-13 relative error = 4.369103499041069e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1530076221761217 y1[1] (numeric) = 0.1530076221766279 absolute error = 5.06289454804687e-13 relative error = 3.3089165598686e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.86699999999996 y2[1] (analytic) = -0.9880715068572355 y2[1] (numeric) = -0.9880715068576675 absolute error = 4.319877788816484e-13 relative error = 4.372029512880847e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1539957705161795 y1[1] (numeric) = 0.1539957705166859 absolute error = 5.063727215315339e-13 relative error = 3.288224863801257e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.86799999999996 y2[1] (analytic) = -0.9879170170766731 y2[1] (numeric) = -0.9879170170771052 absolute error = 4.320988011841109e-13 relative error = 4.373837009739203e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1549837648604797 y1[1] (numeric) = 0.1549837648609861 absolute error = 5.064559882583808e-13 relative error = 3.267800267429982e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.868999999999961 y2[1] (analytic) = -0.9877615393791758 y2[1] (numeric) = -0.9877615393796081 absolute error = 4.32320845789036e-13 relative error = 4.376773427124493e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1559716042210278 y1[1] (numeric) = 0.1559716042215344 absolute error = 5.065670105608433e-13 relative error = 3.247815607788361e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.869999999999961 y2[1] (analytic) = -0.9876050739202215 y2[1] (numeric) = -0.987605073920654 absolute error = 4.32542890393961e-13 relative error = 4.379715149467749e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1569592876099848 y1[1] (numeric) = 0.1569592876104915 absolute error = 5.066780328633058e-13 relative error = 3.228085706672601e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.870999999999961 y2[1] (analytic) = -0.9874476208562755 y2[1] (numeric) = -0.9874476208567082 absolute error = 4.32764934998886e-13 relative error = 4.382662187424275e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1579468140396673 y1[1] (numeric) = 0.157946814040174 absolute error = 5.067612995901527e-13 relative error = 3.208430019125824e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.871999999999962 y2[1] (analytic) = -0.987289180344791 y2[1] (numeric) = -0.9872891803452239 absolute error = 4.329869796038111e-13 relative error = 4.385614551681798e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1589341825225488 y1[1] (numeric) = 0.1589341825230557 absolute error = 5.068723218926152e-13 relative error = 3.189196394681821e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.872999999999962 y2[1] (analytic) = -0.9871297525442083 y2[1] (numeric) = -0.9871297525446415 absolute error = 4.332090242087361e-13 relative error = 4.388572252960585e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1599213920712611 y1[1] (numeric) = 0.1599213920717681 absolute error = 5.069833441950777e-13 relative error = 3.170203420747898e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.873999999999962 y2[1] (analytic) = -0.9869693376139554 y2[1] (numeric) = -0.9869693376143889 absolute error = 4.334310688136611e-13 relative error = 4.391535302013546e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1609084416985947 y1[1] (numeric) = 0.1609084416991018 absolute error = 5.070666109219246e-13 relative error = 3.151274138069992e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.874999999999963 y2[1] (analytic) = -0.9868079357144471 y2[1] (numeric) = -0.9868079357148808 absolute error = 4.336531134185861e-13 relative error = 4.394503709626353e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1618953304175 y1[1] (numeric) = 0.1618953304180071 absolute error = 5.071776332243871e-13 relative error = 3.13275022767157e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.875999999999963 y2[1] (analytic) = -0.9866455470070854 y2[1] (numeric) = -0.9866455470075193 absolute error = 4.338751580235112e-13 relative error = 4.397477486617546e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1628820572410883 y1[1] (numeric) = 0.1628820572415956 absolute error = 5.072886555268497e-13 relative error = 3.114453882271338e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.876999999999963 y2[1] (analytic) = -0.9864821716542589 y2[1] (numeric) = -0.986482171654693 absolute error = 4.340972026284362e-13 relative error = 4.400456643838649e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.163868621182633 y1[1] (numeric) = 0.1638686211831404 absolute error = 5.073996778293122e-13 relative error = 3.096380955471706e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.877999999999964 y2[1] (analytic) = -0.9863178098193429 y2[1] (numeric) = -0.9863178098197772 absolute error = 4.343192472333612e-13 relative error = 4.40344119217428e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1648550212555701 y1[1] (numeric) = 0.1648550212560776 absolute error = 5.075107001317747e-13 relative error = 3.078527401024656e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.878999999999964 y2[1] (analytic) = -0.9861524616666993 y2[1] (numeric) = -0.9861524616671339 absolute error = 4.345412918382863e-13 relative error = 4.406431142542267e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1658412564734997 y1[1] (numeric) = 0.1658412564740073 absolute error = 5.076217224342372e-13 relative error = 3.060889269826243e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.879999999999964 y2[1] (analytic) = -0.9859861273616762 y2[1] (numeric) = -0.985986127362111 absolute error = 4.347633364432113e-13 relative error = 4.409426505893757e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1668273258501867 y1[1] (numeric) = 0.1668273258506944 absolute error = 5.077327447366997e-13 relative error = 3.043462707018699e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.880999999999965 y2[1] (analytic) = -0.985818807070608 y2[1] (numeric) = -0.985818807071043 absolute error = 4.349853810481363e-13 relative error = 4.412427293213337e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1678132283995617 y1[1] (numeric) = 0.1678132284000695 absolute error = 5.078160114635466e-13 relative error = 3.026078553559803e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.881999999999965 y2[1] (analytic) = -0.9856505009608147 y2[1] (numeric) = -0.98565050096125 absolute error = 4.352074256530614e-13 relative error = 4.415433515519142e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1687989631357223 y1[1] (numeric) = 0.1687989631362302 absolute error = 5.079270337660091e-13 relative error = 3.009064891930716e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.882999999999965 y2[1] (analytic) = -0.9854812092006027 y2[1] (numeric) = -0.9854812092010381 absolute error = 4.354294702579864e-13 relative error = 4.418445183862975e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1697845290729338 y1[1] (numeric) = 0.1697845290734419 absolute error = 5.080380560684716e-13 relative error = 2.992251760761049e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.883999999999966 y2[1] (analytic) = -0.9853109319592636 y2[1] (numeric) = -0.9853109319596992 absolute error = 4.356515148629114e-13 relative error = 4.42146230933042e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1707699252256304 y1[1] (numeric) = 0.1707699252261386 absolute error = 5.081490783709341e-13 relative error = 2.975635655397402e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.884999999999966 y2[1] (analytic) = -0.9851396694070746 y2[1] (numeric) = -0.9851396694075104 absolute error = 4.357625371653739e-13 relative error = 4.423357932866982e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.171755150608416 y1[1] (numeric) = 0.1717551506089243 absolute error = 5.082601006733967e-13 relative error = 2.95921315240308e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.885999999999966 y2[1] (analytic) = -0.9849674217152984 y2[1] (numeric) = -0.9849674217157344 absolute error = 4.35984581770299e-13 relative error = 4.426385808893473e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1727402042360654 y1[1] (numeric) = 0.1727402042365737 absolute error = 5.083433674002436e-13 relative error = 2.942820229073861e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.886999999999967 y2[1] (analytic) = -0.9847941890561824 y2[1] (numeric) = -0.9847941890566186 absolute error = 4.36206626375224e-13 relative error = 4.429419174307683e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1737250851235249 y1[1] (numeric) = 0.1737250851240333 absolute error = 5.084266341270904e-13 relative error = 2.926616117445449e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.887999999999967 y2[1] (analytic) = -0.9846199716029596 y2[1] (numeric) = -0.984619971603396 absolute error = 4.36428670980149e-13 relative error = 4.432458040330463e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1747097922859137 y1[1] (numeric) = 0.1747097922864222 absolute error = 5.08537656429553e-13 relative error = 2.910756459473822e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.888999999999967 y2[1] (analytic) = -0.9844447695298472 y2[1] (numeric) = -0.9844447695302837 absolute error = 4.365396932826116e-13 relative error = 4.434374652537338e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1756943247385248 y1[1] (numeric) = 0.1756943247390334 absolute error = 5.086486787320155e-13 relative error = 2.89507745619562e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.889999999999968 y2[1] (analytic) = -0.9842685830120471 y2[1] (numeric) = -0.984268583012484 absolute error = 4.368727601899991e-13 relative error = 4.438552319257069e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1766786814968258 y1[1] (numeric) = 0.1766786814973345 absolute error = 5.08759701034478e-13 relative error = 2.879576057078615e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.890999999999968 y2[1] (analytic) = -0.9840914122257463 y2[1] (numeric) = -0.9840914122261832 absolute error = 4.369837824924616e-13 relative error = 4.44047958414883e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.17766286157646 y1[1] (numeric) = 0.1776628615769689 absolute error = 5.088429677613249e-13 relative error = 2.864093053811003e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.891999999999968 y2[1] (analytic) = -0.9839132573481151 y2[1] (numeric) = -0.9839132573485523 absolute error = 4.372058270973866e-13 relative error = 4.443540361228208e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1786468639932475 y1[1] (numeric) = 0.1786468639937564 absolute error = 5.089539900637874e-13 relative error = 2.848938843298279e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.892999999999969 y2[1] (analytic) = -0.9837341185573085 y2[1] (numeric) = -0.983734118557746 absolute error = 4.374278717023117e-13 relative error = 4.446606694335456e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1796306877631858 y1[1] (numeric) = 0.1796306877636949 absolute error = 5.090650123662499e-13 relative error = 2.833953478134929e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.893999999999969 y2[1] (analytic) = -0.9835539960324655 y2[1] (numeric) = -0.9835539960329031 absolute error = 4.375388940047742e-13 relative error = 4.448549807837207e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1806143319024514 y1[1] (numeric) = 0.1806143319029606 absolute error = 5.091482790930968e-13 relative error = 2.818980496897026e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.894999999999969 y2[1] (analytic) = -0.9833728899537083 y2[1] (numeric) = -0.9833728899541461 absolute error = 4.377609386096992e-13 relative error = 4.451627079431756e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1815977954274001 y1[1] (numeric) = 0.1815977954279094 absolute error = 5.092593013955593e-13 relative error = 2.804325350960293e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.89599999999997 y2[1] (analytic) = -0.9831908005021431 y2[1] (numeric) = -0.9831908005025811 absolute error = 4.379829832146243e-13 relative error = 4.454709940236768e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1825810773545685 y1[1] (numeric) = 0.1825810773550779 absolute error = 5.093980792736374e-13 relative error = 2.789982875850805e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.89699999999997 y2[1] (analytic) = -0.9830077278598595 y2[1] (numeric) = -0.9830077278602976 absolute error = 4.380940055170868e-13 relative error = 4.456668987444042e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1835641767006748 y1[1] (numeric) = 0.1835641767011843 absolute error = 5.095091015761e-13 relative error = 2.775645611980821e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.89799999999997 y2[1] (analytic) = -0.9828236722099297 y2[1] (numeric) = -0.9828236722103681 absolute error = 4.384270724244743e-13 relative error = 4.460892475642639e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1845470924826197 y1[1] (numeric) = 0.1845470924831293 absolute error = 5.095923683029469e-13 relative error = 2.761313448224275e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.898999999999971 y2[1] (analytic) = -0.9826386337364098 y2[1] (numeric) = -0.9826386337368483 absolute error = 4.385380947269368e-13 relative error = 4.462862334848657e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1855298237174874 y1[1] (numeric) = 0.1855298237179972 absolute error = 5.09731146181025e-13 relative error = 2.747435080611136e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.899999999999971 y2[1] (analytic) = -0.9824526126243379 y2[1] (numeric) = -0.9824526126247767 absolute error = 4.387601393318619e-13 relative error = 4.465967454245362e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.186512369422547 y1[1] (numeric) = 0.1865123694230568 absolute error = 5.098421684834875e-13 relative error = 2.733556868437135e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.900999999999971 y2[1] (analytic) = -0.9822656090597354 y2[1] (numeric) = -0.9822656090601743 absolute error = 4.389821839367869e-13 relative error = 4.469078219657904e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1874947286152526 y1[1] (numeric) = 0.1874947286157626 absolute error = 5.0995319078595e-13 relative error = 2.719826816210904e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.901999999999972 y2[1] (analytic) = -0.9820776232296056 y2[1] (numeric) = -0.9820776232300448 absolute error = 4.392042285417119e-13 relative error = 4.472194642795846e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1884769003132452 y1[1] (numeric) = 0.1884769003137553 absolute error = 5.100642130884125e-13 relative error = 2.706242580606403e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.902999999999972 y2[1] (analytic) = -0.9818886553219344 y2[1] (numeric) = -0.9818886553223738 absolute error = 4.39426273146637e-13 relative error = 4.475316735404802e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1894588835343533 y1[1] (numeric) = 0.1894588835348635 absolute error = 5.101752353908751e-13 relative error = 2.692801867474156e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.903999999999972 y2[1] (analytic) = -0.9816987055256896 y2[1] (numeric) = -0.9816987055261294 absolute error = 4.397593400540245e-13 relative error = 4.479575429597189e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1904406772965936 y1[1] (numeric) = 0.1904406772971038 absolute error = 5.102862576933376e-13 relative error = 2.679502430558018e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.904999999999973 y2[1] (analytic) = -0.9815077740308212 y2[1] (numeric) = -0.9815077740312612 absolute error = 4.399813846589495e-13 relative error = 4.482709116526399e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1914222806181724 y1[1] (numeric) = 0.1914222806186828 absolute error = 5.104250355714157e-13 relative error = 2.66648706682977e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.905999999999973 y2[1] (analytic) = -0.9813158610282606 y2[1] (numeric) = -0.9813158610287008 absolute error = 4.402034292638746e-13 relative error = 4.48584850959825e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1924036925174866 y1[1] (numeric) = 0.1924036925179971 absolute error = 5.105360578738782e-13 relative error = 2.653462889375048e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.906999999999973 y2[1] (analytic) = -0.9811229667099207 y2[1] (numeric) = -0.9811229667103611 absolute error = 4.404254738687996e-13 relative error = 4.488993620704998e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1933849120131243 y1[1] (numeric) = 0.1933849120136349 absolute error = 5.106193246007251e-13 relative error = 2.640430007104542e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.907999999999974 y2[1] (analytic) = -0.9809290912686959 y2[1] (numeric) = -0.9809290912691365 absolute error = 4.406475184737246e-13 relative error = 4.492144461775602e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1943659381238661 y1[1] (numeric) = 0.1943659381243769 absolute error = 5.107581024788033e-13 relative error = 2.627816928258828e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.908999999999974 y2[1] (analytic) = -0.9807342348984615 y2[1] (numeric) = -0.9807342348989023 absolute error = 4.408695630786497e-13 relative error = 4.495301044775849e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.195346769868686 y1[1] (numeric) = 0.1953467698691969 absolute error = 5.108691247812658e-13 relative error = 2.615191052939739e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.909999999999974 y2[1] (analytic) = -0.9805383977940739 y2[1] (numeric) = -0.980538397794515 absolute error = 4.410916076835747e-13 relative error = 4.498463381708482e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1963274062667523 y1[1] (numeric) = 0.1963274062672633 absolute error = 5.109801470837283e-13 relative error = 2.602693922362799e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.910999999999975 y2[1] (analytic) = -0.9803415801513703 y2[1] (numeric) = -0.9803415801518116 absolute error = 4.413136522884997e-13 relative error = 4.501631484613336e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1973078463374287 y1[1] (numeric) = 0.1973078463379398 absolute error = 5.110911693861908e-13 relative error = 2.590323592667173e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.911999999999975 y2[1] (analytic) = -0.9801437821671682 y2[1] (numeric) = -0.9801437821676098 absolute error = 4.415356968934248e-13 relative error = 4.504805365567464e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1982880891002752 y1[1] (numeric) = 0.1982880891007864 absolute error = 5.112021916886533e-13 relative error = 2.578078158946481e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.912999999999975 y2[1] (analytic) = -0.9799450040392657 y2[1] (numeric) = -0.9799450040397074 absolute error = 4.417577414983498e-13 relative error = 4.507985036685272e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.1992681335750491 y1[1] (numeric) = 0.1992681335755604 absolute error = 5.113132139911158e-13 relative error = 2.565955754277907e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.913999999999976 y2[1] (analytic) = -0.9797452459664407 y2[1] (numeric) = -0.9797452459668827 absolute error = 4.419797861032748e-13 relative error = 4.511170510118647e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2002479787817061 y1[1] (numeric) = 0.2002479787822175 absolute error = 5.114242362935784e-13 relative error = 2.553954548780196e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.914999999999976 y2[1] (analytic) = -0.9795445081484514 y2[1] (numeric) = -0.9795445081488937 absolute error = 4.423128530106624e-13 relative error = 4.515495205488194e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2012276237404009 y1[1] (numeric) = 0.2012276237409125 absolute error = 5.115352585960409e-13 relative error = 2.542072748699555e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.915999999999976 y2[1] (analytic) = -0.9793427907860356 y2[1] (numeric) = -0.9793427907864781 absolute error = 4.425348976155874e-13 relative error = 4.518692553609366e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2022070674714888 y1[1] (numeric) = 0.2022070674720005 absolute error = 5.116462808985034e-13 relative error = 2.530308595522486e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.916999999999977 y2[1] (analytic) = -0.9791400940809106 y2[1] (numeric) = -0.9791400940813534 absolute error = 4.427569422205124e-13 relative error = 4.521895741958305e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2031863089955261 y1[1] (numeric) = 0.2031863089960378 absolute error = 5.117850587765815e-13 relative error = 2.518796966718119e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.917999999999977 y2[1] (analytic) = -0.9789364182357733 y2[1] (numeric) = -0.9789364182362161 absolute error = 4.428679645229749e-13 relative error = 4.52397067136501e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2041653473332713 y1[1] (numeric) = 0.2041653473337832 absolute error = 5.118960810790441e-13 relative error = 2.507262313439732e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.918999999999977 y2[1] (analytic) = -0.9787317634542991 y2[1] (numeric) = -0.9787317634547422 absolute error = 4.430900091279e-13 relative error = 4.527185339975835e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2051441815056861 y1[1] (numeric) = 0.2051441815061981 absolute error = 5.120071033815066e-13 relative error = 2.49584024086647e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.919999999999978 y2[1] (analytic) = -0.9785261299411431 y2[1] (numeric) = -0.9785261299415865 absolute error = 4.434230760352875e-13 relative error = 4.531540471606607e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2061228105339366 y1[1] (numeric) = 0.2061228105344487 absolute error = 5.121181256839691e-13 relative error = 2.48452912298929e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.920999999999978 y2[1] (analytic) = -0.9783195179019387 y2[1] (numeric) = -0.9783195179023824 absolute error = 4.436451206402126e-13 relative error = 4.534767144292843e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2071012334393937 y1[1] (numeric) = 0.2071012334399059 absolute error = 5.122291479864316e-13 relative error = 2.473327364978397e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.921999999999978 y2[1] (analytic) = -0.9781119275432979 y2[1] (numeric) = -0.9781119275437418 absolute error = 4.438671652451376e-13 relative error = 4.537999719111788e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2080794492436347 y1[1] (numeric) = 0.208079449244147 absolute error = 5.123124147132785e-13 relative error = 2.462100013122514e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.922999999999979 y2[1] (analytic) = -0.9779033590728111 y2[1] (numeric) = -0.9779033590732552 absolute error = 4.440892098500626e-13 relative error = 4.541238208560007e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2090574569684437 y1[1] (numeric) = 0.2090574569689561 absolute error = 5.12423437015741e-13 relative error = 2.451112935393111e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.923999999999979 y2[1] (analytic) = -0.9776938126990466 y2[1] (numeric) = -0.9776938126994911 absolute error = 4.444222767574502e-13 relative error = 4.545618178052765e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2100352556358132 y1[1] (numeric) = 0.2100352556363257 absolute error = 5.125622148938191e-13 relative error = 2.440362754063381e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.924999999999979 y2[1] (analytic) = -0.9774832886315511 y2[1] (numeric) = -0.9774832886319957 absolute error = 4.446443213623752e-13 relative error = 4.548868778972832e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2110128442679445 y1[1] (numeric) = 0.2110128442684572 absolute error = 5.126732371962817e-13 relative error = 2.429583085213942e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.92599999999998 y2[1] (analytic) = -0.9772717870808483 y2[1] (numeric) = -0.9772717870812931 absolute error = 4.448663659673002e-13 relative error = 4.552125333487163e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2119902218872492 y1[1] (numeric) = 0.211990221887762 absolute error = 5.127842594987442e-13 relative error = 2.418905244466784e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.92699999999998 y2[1] (analytic) = -0.9770593082584399 y2[1] (numeric) = -0.977059308258885 absolute error = 4.450884105722253e-13 relative error = 4.555387854249845e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2129673875163496 y1[1] (numeric) = 0.2129673875168625 absolute error = 5.128952818012067e-13 relative error = 2.408327809166704e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.92799999999998 y2[1] (analytic) = -0.9768458523768045 y2[1] (numeric) = -0.97684585237725 absolute error = 4.454214774796128e-13 relative error = 4.559792892561699e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2139443401780803 y1[1] (numeric) = 0.2139443401785933 absolute error = 5.130063041036692e-13 relative error = 2.397849383052898e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.928999999999981 y2[1] (analytic) = -0.9766314196493984 y2[1] (numeric) = -0.9766314196498439 absolute error = 4.455324997820753e-13 relative error = 4.561930845333825e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2149210788954886 y1[1] (numeric) = 0.2149210788960017 absolute error = 5.131173264061317e-13 relative error = 2.387468595649705e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.929999999999981 y2[1] (analytic) = -0.9764160102906538 y2[1] (numeric) = -0.9764160102910996 absolute error = 4.457545443870004e-13 relative error = 4.565211341160934e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2158976026918359 y1[1] (numeric) = 0.2158976026923492 absolute error = 5.132561042842099e-13 relative error = 2.377312660654283e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.930999999999981 y2[1] (analytic) = -0.9761996245159804 y2[1] (numeric) = -0.9761996245164264 absolute error = 4.459765889919254e-13 relative error = 4.568497854248301e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2168739105905986 y1[1] (numeric) = 0.216873910591112 absolute error = 5.13394882162288e-13 relative error = 2.367250540944244e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.931999999999982 y2[1] (analytic) = -0.9759822625417638 y2[1] (numeric) = -0.97598226254221 absolute error = 4.461986335968504e-13 relative error = 4.571790397448508e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2178500016154687 y1[1] (numeric) = 0.2178500016159822 absolute error = 5.135059044647505e-13 relative error = 2.357153549033017e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.932999999999982 y2[1] (analytic) = -0.975763924585366 y2[1] (numeric) = -0.9757639245858124 absolute error = 4.464206782017754e-13 relative error = 4.57508898365426e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2188258747903553 y1[1] (numeric) = 0.218825874790869 absolute error = 5.136446823428287e-13 relative error = 2.347275809293222e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.933999999999982 y2[1] (analytic) = -0.9755446108651249 y2[1] (numeric) = -0.9755446108655715 absolute error = 4.466427228067005e-13 relative error = 4.57839362579854e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2198015291393854 y1[1] (numeric) = 0.2198015291398992 absolute error = 5.137557046452912e-13 relative error = 2.337361831179513e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.934999999999983 y2[1] (analytic) = -0.9753243216003542 y2[1] (numeric) = -0.9753243216008011 absolute error = 4.468647674116255e-13 relative error = 4.581704336854745e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2207769636869047 y1[1] (numeric) = 0.2207769636874186 absolute error = 5.138667269477537e-13 relative error = 2.327537793646328e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.935999999999983 y2[1] (analytic) = -0.9751030570113433 y2[1] (numeric) = -0.9751030570117903 absolute error = 4.470868120165505e-13 relative error = 4.58502112983684e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2217521774574787 y1[1] (numeric) = 0.2217521774579927 absolute error = 5.139777492502162e-13 relative error = 2.317802490795258e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.936999999999983 y2[1] (analytic) = -0.9748808173193565 y2[1] (numeric) = -0.9748808173198038 absolute error = 4.473088566214756e-13 relative error = 4.588344017799499e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2227271694758937 y1[1] (numeric) = 0.2227271694764078 absolute error = 5.140887715526787e-13 relative error = 2.30815473820458e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.937999999999984 y2[1] (analytic) = -0.9746576027466337 y2[1] (numeric) = -0.9746576027470812 absolute error = 4.475309012264006e-13 relative error = 4.591673013838257e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2237019387671578 y1[1] (numeric) = 0.2237019387676721 absolute error = 5.142275494307569e-13 relative error = 2.298717446369543e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.938999999999984 y2[1] (analytic) = -0.9744334135163893 y2[1] (numeric) = -0.9744334135168371 absolute error = 4.477529458313256e-13 relative error = 4.595008131089654e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2246764843565018 y1[1] (numeric) = 0.2246764843570161 absolute error = 5.143385717332194e-13 relative error = 2.289240786397124e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.939999999999984 y2[1] (analytic) = -0.9742082498528126 y2[1] (numeric) = -0.9742082498532607 absolute error = 4.480860127387132e-13 relative error = 4.599488998439624e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2256508052693801 y1[1] (numeric) = 0.2256508052698946 absolute error = 5.144773496112975e-13 relative error = 2.279971254687607e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.940999999999985 y2[1] (analytic) = -0.9739821119810673 y2[1] (numeric) = -0.9739821119815156 absolute error = 4.483080573436382e-13 relative error = 4.602836662285155e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.226624900531472 y1[1] (numeric) = 0.2266249005319866 absolute error = 5.146161274893757e-13 relative error = 2.270783688299555e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.941999999999985 y2[1] (analytic) = -0.9737550001272912 y2[1] (numeric) = -0.9737550001277397 absolute error = 4.485301019485632e-13 relative error = 4.606190488263788e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2275987691686822 y1[1] (numeric) = 0.227598769169197 absolute error = 5.147271497918382e-13 relative error = 2.261555067595089e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.942999999999985 y2[1] (analytic) = -0.9735269145185961 y2[1] (numeric) = -0.9735269145190448 absolute error = 4.487521465534883e-13 relative error = 4.609550489679002e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2285724102071423 y1[1] (numeric) = 0.2285724102076571 absolute error = 5.148659276699163e-13 relative error = 2.252528759719174e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.943999999999986 y2[1] (analytic) = -0.9732978553830676 y2[1] (numeric) = -0.9732978553835165 absolute error = 4.489741911584133e-13 relative error = 4.612916679876043e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2295458226732111 y1[1] (numeric) = 0.2295458226737261 absolute error = 5.150047055479945e-13 relative error = 2.243581257765566e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.944999999999986 y2[1] (analytic) = -0.9730678229497648 y2[1] (numeric) = -0.973067822950214 absolute error = 4.491962357633383e-13 relative error = 4.616289072242073e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2305190055934764 y1[1] (numeric) = 0.2305190055939915 absolute error = 5.15115727850457e-13 relative error = 2.234591141516856e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.945999999999986 y2[1] (analytic) = -0.9728368174487201 y2[1] (numeric) = -0.9728368174491696 absolute error = 4.495293026707259e-13 relative error = 4.620808902459341e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2314919579947554 y1[1] (numeric) = 0.2314919579952706 absolute error = 5.152267501529195e-13 relative error = 2.225678829692185e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.946999999999987 y2[1] (analytic) = -0.9726048391109391 y2[1] (numeric) = -0.9726048391113888 absolute error = 4.497513472756509e-13 relative error = 4.624194011688961e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2324646789040956 y1[1] (numeric) = 0.232464678904611 absolute error = 5.153655280309977e-13 relative error = 2.21696272509259e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.947999999999987 y2[1] (analytic) = -0.9723718881684 y2[1] (numeric) = -0.97237188816885 absolute error = 4.499733918805759e-13 relative error = 4.627585364774011e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2334371673487763 y1[1] (numeric) = 0.2334371673492918 absolute error = 5.154765503334602e-13 relative error = 2.208202559120722e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.948999999999987 y2[1] (analytic) = -0.9721379648540538 y2[1] (numeric) = -0.972137964854504 absolute error = 4.50195436485501e-13 relative error = 4.630982975272326e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2344094223563091 y1[1] (numeric) = 0.2344094223568247 absolute error = 5.156153282115383e-13 relative error = 2.199635676025805e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.949999999999988 y2[1] (analytic) = -0.9719030694018237 y2[1] (numeric) = -0.9719030694022741 absolute error = 4.50417481090426e-13 relative error = 4.634386856784433e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2353814429544391 y1[1] (numeric) = 0.2353814429549548 absolute error = 5.157541060896165e-13 relative error = 2.191141746843004e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.950999999999988 y2[1] (analytic) = -0.9716672020466052 y2[1] (numeric) = -0.9716672020470559 absolute error = 4.507505479978136e-13 relative error = 4.638939618918965e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2363532281711457 y1[1] (numeric) = 0.2363532281716616 absolute error = 5.15865128392079e-13 relative error = 2.182602422584793e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.951999999999988 y2[1] (analytic) = -0.9714303630242657 y2[1] (numeric) = -0.9714303630247166 absolute error = 4.509725926027386e-13 relative error = 4.642356362001767e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2373247770346439 y1[1] (numeric) = 0.2373247770351599 absolute error = 5.159761506945415e-13 relative error = 2.17413519625564e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.952999999999989 y2[1] (analytic) = -0.9711925525716441 y2[1] (numeric) = -0.9711925525720952 absolute error = 4.511946372076636e-13 relative error = 4.645779418436998e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2382960885733848 y1[1] (numeric) = 0.2382960885739009 absolute error = 5.161149285726196e-13 relative error = 2.165855644809205e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.953999999999989 y2[1] (analytic) = -0.9709537709265508 y2[1] (numeric) = -0.9709537709270022 absolute error = 4.514166818125886e-13 relative error = 4.649208801999047e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.239267161816057 y1[1] (numeric) = 0.2392671618165732 absolute error = 5.162259508750822e-13 relative error = 2.157529461865497e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.954999999999989 y2[1] (analytic) = -0.9707140183277675 y2[1] (numeric) = -0.9707140183282191 absolute error = 4.516387264175137e-13 relative error = 4.652644526505798e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2402379957915873 y1[1] (numeric) = 0.2402379957921037 absolute error = 5.163647287531603e-13 relative error = 2.14938826413254e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.95599999999999 y2[1] (analytic) = -0.9704732950150468 y2[1] (numeric) = -0.9704732950154986 absolute error = 4.518607710224387e-13 relative error = 4.656086605818791e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2412085895291419 y1[1] (numeric) = 0.2412085895296583 absolute error = 5.164757510556228e-13 relative error = 2.141199664837078e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.95699999999999 y2[1] (analytic) = -0.9702316012291119 y2[1] (numeric) = -0.970231601229564 absolute error = 4.520828156273637e-13 relative error = 4.659535053843378e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.242178942058127 y1[1] (numeric) = 0.2421789420586436 absolute error = 5.16614528933701e-13 relative error = 2.13319343351374e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.95799999999999 y2[1] (analytic) = -0.9699889372116567 y2[1] (numeric) = -0.969988937212109 absolute error = 4.523048602322888e-13 relative error = 4.662989884528894e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2431490524081902 y1[1] (numeric) = 0.243149052408707 absolute error = 5.167533068117791e-13 relative error = 2.125253220992495e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.958999999999991 y2[1] (analytic) = -0.969745303205345 y2[1] (numeric) = -0.9697453032057977 absolute error = 4.526379271396763e-13 relative error = 4.667595972298611e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2441189196092213 y1[1] (numeric) = 0.2441189196097382 absolute error = 5.168920846898573e-13 relative error = 2.117378224994948e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.959999999999991 y2[1] (analytic) = -0.969500699453811 y2[1] (numeric) = -0.9695006994542639 absolute error = 4.528599717446014e-13 relative error = 4.671063899177481e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2450885426913531 y1[1] (numeric) = 0.2450885426918701 absolute error = 5.170031069923198e-13 relative error = 2.109454409067976e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.960999999999991 y2[1] (analytic) = -0.9692551262016583 y2[1] (numeric) = -0.9692551262021114 absolute error = 4.530820163495264e-13 relative error = 4.674538252122284e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2460579206849627 y1[1] (numeric) = 0.2460579206854798 absolute error = 5.171418848703979e-13 relative error = 2.101707937020708e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.961999999999992 y2[1] (analytic) = -0.9690085836944602 y2[1] (numeric) = -0.9690085836949136 absolute error = 4.534150832569139e-13 relative error = 4.679164776107712e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2470270526206721 y1[1] (numeric) = 0.2470270526211893 absolute error = 5.172806627484761e-13 relative error = 2.094024347781852e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.962999999999992 y2[1] (analytic) = -0.9687610721787592 y2[1] (numeric) = -0.9687610721792128 absolute error = 4.53637127861839e-13 relative error = 4.682652316340517e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2479959375293494 y1[1] (numeric) = 0.2479959375298668 absolute error = 5.173916850509386e-13 relative error = 2.086290969946663e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.963999999999992 y2[1] (analytic) = -0.9685125919020666 y2[1] (numeric) = -0.9685125919025206 absolute error = 4.539701947692265e-13 relative error = 4.687292644049906e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2489645744421099 y1[1] (numeric) = 0.2489645744426274 absolute error = 5.175304629290167e-13 relative error = 2.078731337937216e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.964999999999993 y2[1] (analytic) = -0.968263143112863 y2[1] (numeric) = -0.9682631431133172 absolute error = 4.541922393741515e-13 relative error = 4.69079343363181e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2499329623903167 y1[1] (numeric) = 0.2499329623908343 absolute error = 5.176692408070949e-13 relative error = 2.071232365095798e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.965999999999993 y2[1] (analytic) = -0.9680127260605969 y2[1] (numeric) = -0.9680127260610513 absolute error = 4.544142839790766e-13 relative error = 4.694300722970357e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2509011004055819 y1[1] (numeric) = 0.2509011004060997 absolute error = 5.17808018685173e-13 relative error = 2.063793334696961e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.966999999999993 y2[1] (analytic) = -0.9677613409956853 y2[1] (numeric) = -0.96776134099614 absolute error = 4.546363285840016e-13 relative error = 4.69781452642288e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2518689875197676 y1[1] (numeric) = 0.2518689875202856 absolute error = 5.179745521388668e-13 relative error = 2.056523739740742e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.967999999999994 y2[1] (analytic) = -0.9675089881695135 y2[1] (numeric) = -0.9675089881699683 absolute error = 4.548583731889266e-13 relative error = 4.701334858392371e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2528366227649868 y1[1] (numeric) = 0.2528366227655049 absolute error = 5.180855744413293e-13 relative error = 2.04909229041116e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.968999999999994 y2[1] (analytic) = -0.9672556678344341 y2[1] (numeric) = -0.9672556678348891 absolute error = 4.550804177938517e-13 relative error = 4.704861733327658e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2538040051736044 y1[1] (numeric) = 0.2538040051741225 absolute error = 5.181965967437918e-13 relative error = 2.041719540199298e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.969999999999994 y2[1] (analytic) = -0.9670013802437675 y2[1] (numeric) = -0.9670013802442228 absolute error = 4.553024623987767e-13 relative error = 4.708395165723563e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2547711337782378 y1[1] (numeric) = 0.2547711337787562 absolute error = 5.183631301974856e-13 relative error = 2.034622692571946e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.970999999999995 y2[1] (analytic) = -0.9667461256518011 y2[1] (numeric) = -0.9667461256522567 absolute error = 4.556355293061642e-13 relative error = 4.713083582300006e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2557380076117587 y1[1] (numeric) = 0.2557380076122772 absolute error = 5.184741524999481e-13 relative error = 2.027364478756144e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.971999999999995 y2[1] (analytic) = -0.9664899043137898 y2[1] (numeric) = -0.9664899043142455 absolute error = 4.557465516086268e-13 relative error = 4.715481761107561e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2567046257072934 y1[1] (numeric) = 0.256704625707812 absolute error = 5.186406859536419e-13 relative error = 2.020379198561931e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.972999999999995 y2[1] (analytic) = -0.9662327164859545 y2[1] (numeric) = -0.9662327164864106 absolute error = 4.560796185160143e-13 relative error = 4.720183975706271e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2576709870982237 y1[1] (numeric) = 0.2576709870987424 absolute error = 5.187517082561044e-13 relative error = 2.013232898659084e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.973999999999996 y2[1] (analytic) = -0.9659745624254834 y2[1] (numeric) = -0.9659745624259397 absolute error = 4.563016631209393e-13 relative error = 4.723744090892032e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2586370908181884 y1[1] (numeric) = 0.2586370908187072 absolute error = 5.188627305585669e-13 relative error = 2.00614199965351e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.974999999999996 y2[1] (analytic) = -0.9657154423905304 y2[1] (numeric) = -0.9657154423909869 absolute error = 4.565237077258644e-13 relative error = 4.727310838022703e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2596029359010838 y1[1] (numeric) = 0.2596029359016028 absolute error = 5.189737528610294e-13 relative error = 1.999105869352623e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.975999999999996 y2[1] (analytic) = -0.9654553566402154 y2[1] (numeric) = -0.9654553566406723 absolute error = 4.568567746332519e-13 relative error = 4.732034179427141e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.260568521381065 y1[1] (numeric) = 0.260568521381584 absolute error = 5.190847751634919e-13 relative error = 1.992123885157883e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.976999999999997 y2[1] (analytic) = -0.9651943054346243 y2[1] (numeric) = -0.9651943054350813 absolute error = 4.570788192381769e-13 relative error = 4.735614545843758e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2615338462925464 y1[1] (numeric) = 0.2615338462930656 absolute error = 5.192513086171857e-13 relative error = 1.985407686148438e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.977999999999997 y2[1] (analytic) = -0.9649322890348081 y2[1] (numeric) = -0.9649322890352654 absolute error = 4.57300863843102e-13 relative error = 4.739201589994733e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2624989096702034 y1[1] (numeric) = 0.2624989096707228 absolute error = 5.193623309196482e-13 relative error = 1.978531383509978e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.978999999999997 y2[1] (analytic) = -0.9646693077027833 y2[1] (numeric) = -0.9646693077032409 absolute error = 4.576339307504895e-13 relative error = 4.743946211373479e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2634637105489726 y1[1] (numeric) = 0.2634637105494921 absolute error = 5.194733532221107e-13 relative error = 1.97170742088046e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.979999999999998 y2[1] (analytic) = -0.9644053617015312 y2[1] (numeric) = -0.9644053617019891 absolute error = 4.578559753554146e-13 relative error = 4.7475469707842e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2644282479640532 y1[1] (numeric) = 0.2644282479645728 absolute error = 5.196398866758045e-13 relative error = 1.965145141174347e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.980999999999998 y2[1] (analytic) = -0.9641404512949977 y2[1] (numeric) = -0.9641404512954559 absolute error = 4.581890422628021e-13 relative error = 4.752305970021065e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2653925209509079 y1[1] (numeric) = 0.2653925209514276 absolute error = 5.19750908978267e-13 relative error = 1.958423346355002e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.981999999999998 y2[1] (analytic) = -0.9638745767480934 y2[1] (numeric) = -0.9638745767485518 absolute error = 4.584110868677271e-13 relative error = 4.755920510055448e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2663565285452637 y1[1] (numeric) = 0.2663565285457836 absolute error = 5.199174424319608e-13 relative error = 1.951960574315744e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.982999999999999 y2[1] (analytic) = -0.9636077383266926 y2[1] (numeric) = -0.9636077383271513 absolute error = 4.587441537751147e-13 relative error = 4.760693958017867e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2673202697831132 y1[1] (numeric) = 0.2673202697836333 absolute error = 5.200839758856546e-13 relative error = 1.945546352723712e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.983999999999999 y2[1] (analytic) = -0.9633399362976337 y2[1] (numeric) = -0.9633399362980928 absolute error = 4.590772206825022e-13 relative error = 4.765474817195429e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2682837437007152 y1[1] (numeric) = 0.2682837437012354 absolute error = 5.201949981881171e-13 relative error = 1.938973234130885e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.984999999999999 y2[1] (analytic) = -0.9630711709287189 y2[1] (numeric) = -0.9630711709291782 absolute error = 4.592992652874273e-13 relative error = 4.769110312423858e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2692469493345958 y1[1] (numeric) = 0.2692469493351161 absolute error = 5.203060204905796e-13 relative error = 1.932449083551139e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.986 y2[1] (analytic) = -0.9628014424887134 y2[1] (numeric) = -0.9628014424891729 absolute error = 4.595213098923523e-13 relative error = 4.772752611426827e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2702098857215495 y1[1] (numeric) = 0.27020988572207 absolute error = 5.204725539442734e-13 relative error = 1.926178801913335e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.987 y2[1] (analytic) = -0.9625307512473456 y2[1] (numeric) = -0.9625307512478054 absolute error = 4.598543767997398e-13 relative error = 4.777555171134155e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2711725518986401 y1[1] (numeric) = 0.2711725518991607 absolute error = 5.205835762467359e-13 relative error = 1.91975025717692e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.988 y2[1] (analytic) = -0.9622590974753067 y2[1] (numeric) = -0.9622590974757669 absolute error = 4.601874437071274e-13 relative error = 4.782365216546437e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2721349469032013 y1[1] (numeric) = 0.272134946903722 absolute error = 5.207501097004297e-13 relative error = 1.91357308433327e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.989000000000001 y2[1] (analytic) = -0.9619864814442506 y2[1] (numeric) = -0.961986481444711 absolute error = 4.604094883120524e-13 relative error = 4.78602867288561e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2730970697728383 y1[1] (numeric) = 0.2730970697733592 absolute error = 5.208611320028922e-13 relative error = 1.907238083646022e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.990000000000001 y2[1] (analytic) = -0.9617129034267932 y2[1] (numeric) = -0.9617129034272539 absolute error = 4.6074255521944e-13 relative error = 4.790853419744225e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2740589195454283 y1[1] (numeric) = 0.2740589195459493 absolute error = 5.209721543053547e-13 relative error = 1.90094945703454e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.991000000000001 y2[1] (analytic) = -0.9614383636965125 y2[1] (numeric) = -0.9614383636969736 absolute error = 4.610756221268275e-13 relative error = 4.795685709420792e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2750204952591216 y1[1] (numeric) = 0.2750204952596427 absolute error = 5.211386877590485e-13 relative error = 1.894908549517507e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.992000000000002 y2[1] (analytic) = -0.9611628625279482 y2[1] (numeric) = -0.9611628625284095 absolute error = 4.612976667317525e-13 relative error = 4.799370478365098e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2759817959523425 y1[1] (numeric) = 0.2759817959528638 absolute error = 5.213052212127423e-13 relative error = 1.888911619745974e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.993000000000002 y2[1] (analytic) = -0.9608864001966015 y2[1] (numeric) = -0.9608864001970632 absolute error = 4.616307336391401e-13 relative error = 4.804217580191461e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2769428206637905 y1[1] (numeric) = 0.276942820664312 absolute error = 5.21471754666436e-13 relative error = 1.882958198434414e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.994000000000002 y2[1] (analytic) = -0.9606089769789348 y2[1] (numeric) = -0.9606089769793966 absolute error = 4.618527782440651e-13 relative error = 4.807916533286708e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2779035684324409 y1[1] (numeric) = 0.2779035684329625 absolute error = 5.216382881201298e-13 relative error = 1.877047822964322e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.995000000000003 y2[1] (analytic) = -0.960330593152371 y2[1] (numeric) = -0.9603305931528332 absolute error = 4.621858451514527e-13 relative error = 4.812778520720519e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2788640382975461 y1[1] (numeric) = 0.2788640382980678 absolute error = 5.217493104225923e-13 relative error = 1.870980975560173e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.996000000000003 y2[1] (analytic) = -0.9600512489952941 y2[1] (numeric) = -0.9600512489957566 absolute error = 4.624078897563777e-13 relative error = 4.816491726252046e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2798242292986362 y1[1] (numeric) = 0.2798242292991581 absolute error = 5.219158438762861e-13 relative error = 1.865156013060195e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.997000000000003 y2[1] (analytic) = -0.9597709447870483 y2[1] (numeric) = -0.959770944787511 absolute error = 4.627409566637652e-13 relative error = 4.821368673193552e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2807841404755202 y1[1] (numeric) = 0.2807841404760423 absolute error = 5.220823773299799e-13 relative error = 1.859372742512489e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.998000000000004 y2[1] (analytic) = -0.9594896808079376 y2[1] (numeric) = -0.9594896808084006 absolute error = 4.629630012686903e-13 relative error = 4.825096199876299e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2817437708682872 y1[1] (numeric) = 0.2817437708688094 absolute error = 5.221933996324424e-13 relative error = 1.853433699787327e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.999000000000004 y2[1] (analytic) = -0.9592074573392261 y2[1] (numeric) = -0.9592074573396894 absolute error = 4.632960681760778e-13 relative error = 4.829988180671869e-11 % Correct digits = 12 h = 0.001 y1[1] (analytic) = 0.2827031195173069 y1[1] (numeric) = 0.2827031195178292 absolute error = 5.223044219349049e-13 relative error = 1.847536818223648e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 Finished! diff ( y2 , x , 3 ) = m1 * cos(x) ; diff ( y1 , x , 1 ) = m1 * y2; Iterations = 4900 Total Elapsed Time = 7 Seconds Elapsed Time(since restart) = 7 Seconds Time to Timeout = 2 Minutes 53 Seconds Percent Done = 100 %